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1.Show that the force field vec F =(2xy-4- 1 2 sin( x 2 )sin( y 2 )) hat i +(x^ 2 + 1 2 cos( ...

cos( x 2 )cos( y 2 )) hat j is conservative and
obtain the potential function. Evaluate the work done by vec F in moving a particle along the curve C which is the portion of the circle centered at origin with radius 2 in the first quadrant with counter clockwise orientation, without using line integrals.

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2.The cost of renting a car is $46 /wk plus $0.25 /mi traveled during that week. An equation ...

esent the cost would be y=46+0.25x , where x is the number of miles traveled.
a. What is your cost if you travel 59 mi?
The cost is $
43.26
.
b. If your cost was $66.25 , how many miles were you charged for traveling?
You were charged for traveling
66.51
miles.
c. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?
The maximum number of miles you could travel is
Number

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nts pay fees in addition to their tuition.
Using the code provided below as a starting point, write a conditional statement that determines how much a student will pay in fees.
• Students registered for 1 – 4 hours pay $843 in student fees.
• Students enrolled in 5 or more hours pay $993 in student fees.
The program should also display a message to students who have not enrolled in any classes: “You are not enrolled in any classes right now.”
NOTE: You must use the variables included in the code snippet get credit for this question.
import java.util.Scanner;
class Main {
public static void main(String[] args) {
int creditHours;
int fees = 0;
Scanner myScanner = new Scanner(System.in);
System.out.print("Please enter the number of credit hours you are taking this term: "); creditHours = myScanner.nextInt();
myScanner.close();
//YOUR CODE GOES HERE
} }
Break the Problem Down
Answer the following questions, then use the information to write your code.
What are the inputs in the pseudocode above? (INPUT)
What are we storing in the pseudocode above? (MEMORY)
What calculations are needed? (PROCESSES)
What needs to be displayed to the user?
(OUTPUT)
How many conditions are there in your problem statement?
What are they?
Does something need to happen if the condition(s) are not met?
What type of conditional statement do you need?
Solution in Java
Problem 2: Block Tuition
The cost of KSU’s tuition is determined by the number of credit hours a student enrolls in.
Using the chart below, write a conditional statement (ONLY) that sets the value of a tuition variable to what that student will owe.
NOTE: For this problem you can assume that all students are enrolled in a minimum of 12 hours.
Number of Credit Hours 12
13
14
15 or more
Cost (in USD) $2224 $2410 $2595 $2718
Break the Problem Down
Answer the following questions, then use the information to write your code.
What do we need to store? (MEMORY)
What are the inputs in the problem statement above? (INPUT)
What calculations are needed? (PROCESSES)
What needs to be displayed to the user?
(OUTPUT)
How many conditions are there in your problem statement?
What are they?
Does something need to happen if the condition(s) are not met?
What type of conditional statement do you need?
Solution in Java
Problem 3: Class Standing
Undergraduate students will be classified based on the number of earned institutional hours.
• Freshman:
• Sophomore:
• Junior:
• Senior:
0 - 29 hours
30 - 59 hours 60 - 89 hours
90 hours or more
Write a complete program that prompts the user for the number of credit hours they have completed. Write a conditional statement that prints out their class standing based on the information they provided.
Sample Output
Break the Problem Down
Answer the following questions, then use the information to write your code.
What do we need to store? (MEMORY)
Please enter the number of credit hours you have earned: 29 You are a freshman.
What are the inputs in the problem statement above? (INPUT)
What calculations are needed? (PROCESSES)
What needs to be displayed to the user?
(OUTPUT)
How many conditions are there in your problem statement?
What are they?
Does something need to happen if the condition(s) are not met?
What type of conditional statement do you need?
Solution in Java
Problem 4: Maximum Course Load
KSU’s policy on maximum course loads during the academic year is as follows:
A student in good standing may register for up to 18 hours. The Registrar may approve up to 21 hours for students with an institutional GPA of 3.5 or higher. Students
Write a complete program that prompts the user for the number of credit hours they have signed up for. Write the necessary conditional statement(s) to address the stipulations in KSU’s policy. Once the maximum number of hours is determined, display a message to the user that states “You may enroll in X credit hours this semester.” where X is the number of credit hours determined by your program.
Sample Output
Break the Problem Down
Answer the following questions, then use the information to write your code.
What do we need to store? (MEMORY)
Please enter your GPA: 3.75
You may enroll in up to 21 credit hours this semester.
What are the inputs in the problem statement above? (INPUT)
What calculations are needed? (PROCESSES)
What needs to be displayed to the user?
(OUTPUT)
How many conditions are there in your problem statement?
What are they?
Does something need to happen if the condition(s) are not met?
What type of conditional statement do you need?
Solution in Java
Problem 5: First-Year Seminar
All first-year full-time students entering Kennesaw State University with fewer than 15 semester hours are required to complete a First-Year Seminar. Students with 30 or more credit hours are not eligible to enroll in a First-Year Seminar.
Write a complete program that prompts the user for the number of credit hours they have completed. Write the necessary conditional statement(s) to address the stipulations in KSU’s policy.
When you run your program, it should display one of the following messages to the screen:
• You must enroll in First-Year Seminar.
• You do not have to take First-Year Seminar.
• You are not eligible for First-Year Seminar.
Sample Output
Break the Problem Down
Answer the following questions, then use the information to write your code.
What do we need to store? (MEMORY)
Enter the number of credit hours have you completed: 30
You are not eligible for First-Year Seminar.
What are the inputs in the problem statement above? (INPUT)
What calculations are needed? (PROCESSES)
What needs to be displayed to the user?
(OUTPUT)
How many conditions are there in your problem statement?
What are they?
Does something need to happen if the condition(s) are not met?
What type of conditional statement do you need?
Solution in Java

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aximize utility.
c). The use of scarce resources to satisfy our wants.
d). The use of fiscal and monetary policies to achieve economic outcomes.
Flag question: Question 2
Question 21 pts
2. In a capitalist economy
a). The government plays the dominant role.
b). Market forces coordinate most production activities.
c). The prices of most goods and services are set by the government.
d). All of the above are correct.
Flag question: Question 3
Question 31 pts
3. In a capitalist economy
a). Most producers are driven by the desire to make profit.
b). The government regulates most economic activities.
c). Foreigners play no role in the economy.
d). The output of most goods are planned.
Flag question: Question 4
Question 41 pts
4. In drawing the graph of two variables that are related
a). The Y variable goes on the horizontal axis.
b). The X variable goes on the vertical axis.
c). The independent variable goes on the vertical axis.
d). In most cases the dependent variable goes on the vertical axis.

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5.Write and solve an equation to find the value of x so that the figures have the same area. The area ...

of a trapezoid is 1/2 h(b1+b2)

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s him about the same time to assemble. He figures he has time to make at most 18 pieces of furniture by this Saturday. The materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00. He has $600.00 to spend on materials. Andrew makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand. Find how many of each piece of furniture Andrew should make so that he maximizes his profit.
Using the information in the problem, write the constraints. Let x represent number of bookcases, and y represent number of TV stands.

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8. Proof by cases: Let x and y be two integers that are divisible by 4, and z be an ...

t divisible by 4. Then the sum of x, y, and z cannot be divisible by 4.

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ters established the following price – demand function:
p(x) = 10 – 0,001x, where p(x) is the wholesale price in dollars at which x thousand computers can be sold.
Total cost (in dollars) of producing x items is given by C(x) = 7000 + 2x.
A) Find the revenue function and state its domain.
B) Find the marginal revenue function. Find R´(4000) and R´(6000). Interpret the results.
C) Evaluate the approximate revenue and exact revenue of producing 101-th notebook.
D) Find the profit function
E) Find the marginal profit function.
F) Evaluate the approximate profit and exact profit of producing 101-th notebook.
G) Find P´(5000) and P´(7000). Interpret the results.

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than 7.33 is 0.6738, then what is the mean of x?

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Two-Stage DDM. Your estimate for g2 is the growth rate that you expect will continue “forever” in the second stage. Your estimate for g2 should not be much greater than the expected future growth in the overall economy (expected growth in GDP). Why? LIST your estimate for g2 and provide a short paragraph that EXPLAINS your reasoning AND the source of your estimate for long-term growth in GDP. Finally, estimate and LIST a price per share for KO using your estimates for g1, N, Re, g2 and KO’s current annual dividend (most recent quarterly dividend x 4) as D(0) in the Two-Stage DDM (submit your spreadsheet).

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he Two-Stage DDM. Your estimate for g2 is the growth rate that you expect will continue “forever” in the second stage. Your estimate for g2 should not be much greater than the expected future growth in the overall economy (expected growth in GDP). Why? LIST your estimate for g2 and provide a short paragraph that EXPLAINS your reasoning AND the source of your estimate for long-term growth in GDP. Finally, estimate and LIST a price per share for KO using your estimates for g1, N, Re, g2 and KO’s current annual dividend (most recent quarterly dividend x 4) as D(0) in the Two-Stage DDM (submit your spreadsheet).
2. Calculate KO’s FCFF for EACH of the past five (5) years using the financial statement data found in KO’s annual reports and using the FCFFM.xls template. The template will calculate the annual FCFF value for you, but you MUST insert the correct input values for Depreciation & Amortization, Capital Investment, Capital Sales, etc.
3. Assume that the average annual FCFF from Q5 is good estimate of KO’s FCFF(0) for use in the FCFM. LIST your estimate for FCFF(0) then estimate and LIST a price per share for KO using your estimates for g1, N, WACC, g2 and FCFF(0) in the Two-Stage FCFFM (submit your spreadsheet).Use the same estimate second stage or stable stage growth, g2, in the FCFFM that you selected for the DDM.
4. Apply Relative Valuation methods to Coca-Cola (KO) using the following three (3) popular relative valuation ratios - Price/Earnings, Price/Book, Price/Sales (call these three ratios Price/”X” ratios). Select at least five (5) comparable firms that are in the same industry as KO and use the average P/X ratio for the group of comparable firms in your valuation analysis. The P/X ratios for the template can be found by using the screener on the Finviz.comwebsite. Use the Relative Valuation (RV) Excel spreadsheet tab found in the Two Stage_DDM_FCFE_FCFF_RV.xlsx file.

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13.I am trying to figure out the optimal radius that will give the lowest surface area of a cylinder. I ...

have done the calculus which reveals that the surface area is at a minimum when height is double the radius. I am now trying to find an equation for the relationship between the amount of wasted surface area as a percentage of the minimum surface area and the ratio between height and radius.
If I were to plot it on a graph, the y axis would be the percentage of excess materials needed as a percentage of the minimum possible surface area, and the x axis would be height divided by radius. Since the surface area is minimized when height=2(radius), I know that when x=2, y=0.
The website https://www.datagenetics.com/blog/august12014/index.html explains what I am trying to do quite well and shows the graph below. I am trying to find the equation for this graph, but am unsure how to go about it.

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Your answer should be written in slope-intercept form.
P(0, 0), x = −4y − 18

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15.y=xx+x+11 The value of y is a prime number when x = 0, 1, 2 and 3 The following statement is not ...

ot true.
y=xx+x+11 is always a prime number when x is an integer
(b) Show that the statement is not true.

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16. LetS1 betheareaoftheregionboundedbythecurvey=x2 andthelinesy=ax,(0 ...

of cans that are inspected before one with a bump or dent is found.
What is the probability that more than 3 cans are inspected before one with a bump or dent is found?

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lly a math problem I gotta solve, and I have no idea how to do it cause of lack of my math skills. I am hoping someone can help me with this or I'm screwed.
Co basically I've got this table in excel, where X (row) is a width and Y is a height (column) of a wooden sauna cabin, the X;Y is the price for a sauna with said dimensions. I need to find a relationship between the size of the sauna and the price And formulate ani equation. I can't seem to find it, the price seems to grow non linearly, I can't seem to find any coeficient. Again, I suck at math, maybe solution is simple, but I just don't see it. Can anyone help me please?
Table Is at this link https://ibb.co/fGrxSvf . Thanks for any help!

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es an altitude of
4.50 x 102 m [up].
a) What is the spacecraft's acceleration?
b) At what velocity is the spacecraft travelling when it reaches this altitude?

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hin a free demo session as I have my answers, but just want to confirm them, that would be greatly appreciated.
Question 1:
A block of mass M = 0.10 kg is attached to one end of a spring with spring constant k = 100 N/m . The other end of the spring is attached to a fixed wall. The block is pushed against the spring, compressing it a distance x = 0.04 m . The block is then released from rest, and the block-spring system travels along a horizontal, rough track. Data collected from a motion detector are used to create a graph of the kinetic energy K and spring potential energy Us of the system as a function of the block's position as the spring expands. How can the student determine the amount of mechanical energy dissipated by friction as the spring expanded to its natural spring length?
Question 2:
The Atwood’s machine shown consists of two blocks connected by a light string that passes over a pulley of negligible mass and negligible friction. The blocks are released from rest, and m2 is greater than m1. Assume that the reference line of zero gravitational potential energy is the floor. Which of the following best represents the total gravitational potential energy U and total kinetic energy K of the block-block-Earth system as a function of the height h of block m1?
Question 3:
A 2 kg block is placed at the top of an incline and released from rest near Earth’s surface and unknown distance H above the ground. The angle θ between the ground and the incline is also unknown. Frictional forces between the block and the incline are considered to be negligible. The block eventually slides to the bottom of the incline after 0.75 s. The block’s velocity v as a function of time t is shown in the graph starting from the instant it is released. How could a student use the graph to determine the total energy of the block-Earth system?
Question 4:
A block slides across a flat, horizontal surface to the right. For each choice, the arrows represent velocity vectors of the block at successive intervals of time. Which of the following diagrams represents the situation in which the block loses kinetic energy?

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payments cost $420 per month and gasoline, oil, and routine maintenance cost $0.52 per mile.
a. Find a linear function f that gives the annual cost of driving this car x miles
b. What are the domain and range of this function?

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ard free energy G° by 18 kJ/mole, with A* having the higher G°.
Use the table below to find how many more molecules will be in state A* compared with state A at equilibrium.
If an enzyme lowered the activation energy of the reaction by 11.7 kJ/mole, how would the ratio of A to A* change?
Table: RELATIONSHIP BETWEEN THE STANDARD FREE- ENERGY CHANGE, ∆G°, AND THE EQUILIBRIUM CONSTANT
Hint: ∆G° represents the free-energy difference under standard conditions (where all components are present at a concentration of 1 mole/litter). From this table, we see that if there is a favourable free-energy change of –17.8 kJ/mole for the transition Y→ X, there will be 1000 times more molecules of X than of Y at equilibrium (K = 1000).

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23.The function j is defined by j(x) = (8x)^1/2. The function k is defined by k(x) = √3. If f(x) ...

2x) x k(8x), write an equivalent expression equal to f(x) that does not include radicals.

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24.What is the slope of a line that is parallel to each line? a) y = 2x + 1 b) 5x + y ...

x – 3y = 4
d) y + 3 = 4x

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hoots a laser beam in a straight path from a deck 14 feet above sea level off the coast of Florida, is it possible the laser beam will cross the path of the model rocket? Use a piece of graph paper to write/model equations f ( x ) to represent the path that models the rocket and g ( x ) to represents the path that models the laser beam.

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units.
Chemical Equation: Write a generic chemical equation for the dehydration of cobalt (II) chloride ∙ x hydrate (include the state symbols of the reactant and two products). [T2]
Mass of Reactants and Products:
a) Calculate the initial mass of the hydrated cobalt (II) chloride. [T1]
b) Calculate the final mass of the anhydrous cobalt (II) chloride remaining in the cruiio8icible. [T1]
c) Calculate the mass of water given off by the sample of hydrated cobalt (II) chloride. [T1]
Moles of Products:
a) Calculate the moles of anhydrous cobalt (II) chloride remaining in the crucible. [T1]
b) Calculate the moles of water released from the hydrate. {T1]
4. Mole Ratio
a) Create an experimental mole ratio between the b) and a). [T1]
5. Formula of Hydrate: State the chemical formula you have determined for this hydrate.
Round the formula to the closest whole number value for x. [T1]
Discussion/Conclusion Questions: [T6]
Based on the chemical formula of the hydrate, calculate the percentage composition (percent by mass) of the hydrated cobalt (II) chloride. Remember to determine the percentage of each element (Co, Cl, H, and O). [T2]
A possible source of systematic error in this experiment is insufficient heating. Suppose that the hydrate was not completely converted to the anhydrous form. Describe how this would affect: the calculated percent by mass of water and the experimental molecular formula (i.e. would x be higher, lower or the same).
Suppose a student spilled some of the hydrated cobalt (II) chloride. Describe how this would affect the calculated percent by mass of water (would it be higher, lower or the same) and the experimental chemical formula of the hydrate. [T2]

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nd standard deviation 6 inches.
A button hyperlink to the SALT program that reads: Use SALT.
(a) What is the probability that an 18-year-old man selected at random is between 64 and 66 inches tall? (Round your answer to four decimal places.)
Correct: Your answer is correct.
(b) If a random sample of seven 18-year-old men is selected, what is the probability that the mean height x is between 64 and 66 inches? (Round your answer to four decimal places.)
Incorrect: Your answer is incorrect.
(c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this?
The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.
The probability in part (b) is much higher because the standard deviation is larger for the x distribution.
The probability in part (b) is much higher because the mean is smaller for the x distribution.
The probability in part (b) is much higher because the mean is larger for the x distribution.
The probability in part (b) is much lower because the standard deviation is smaller for the x distribution.

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bottom of the roof lie on the x-axis. The equation of the function describing the cross-section is h(x)=-|6x|+7, where h is the height of the roof, in metres, and x is the horizontal distance from the centre of the roof, in metres. To the nearest tenth of a metre, what is the width of the bottom of the roof?

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of CoCl2 . H2O. The hydrate became anhydrous through this.
Suppose a student spilled some of the hydrated cobalt (II) chloride. Describe how this would affect the calculated percent by mass of water (would it be higher, lower or the same) and the experimental chemical formula of the hydrate. [T2]
A possible source of systematic error in this experiment is insufficient heating. Suppose that the hydrate was not completely converted to the anhydrous form. Describe how this would affect: the calculated percent by mass of water and the experimental molecular formula (i.e. would x be higher, lower or the same).

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30.Suppose that f: A--> B is a function and that X and Y are two subsets of B such that ...

in Y. prove that f-1(X) is a subset of f-1(Y)

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countered (unidirectional flow or parallel flow). The planer walls and the fluids are initially at rest. Lower plate moves to left and upper plate to right. Let the fluids be an oil, where kinematic viscosity (ν) = 2.17 x 10-4m2/s and the distance between both plate (h) is 10 mm. U0 = 0.4 m/s I need to find the governing equation, boundary conditions, initial conditions and to derive velocity distribution in steady state.
Also, Use FTCS explicit method to calculate the velocity distribution as a function of time by implementing these governing equation in Matlab

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ve under the law. Malcom X once said the most disrespected person in America is the black woman, the most unprotected person in America is the black woman and that the most neglected person in America is the black woman and I couldn’t agree more. In my research paper I plan to elaborate on this by examining the stories of Black women who have been abused by the systemic racism in our country and by their Black male counterparts. Black women are strong and have been forced to deal with the burdens of racial injustice, sexism, colorism, and nationalism. For that reason, I would like to further expand on these convictions.

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it sound like a math problem.
The problem :
What are the chances of a 4 sided die landing on 1 twice and on 2 twice out of 4 rolls. The solution I came up with originally was (2/4) x (2/4) x (2/4) x (2/4) . Which I realized was wrong as this allowed the die to land on 1 four times in a row. So then I came up with this soultion (which i still think is wrong) (2/4) x (2/4) x (1/4) x (1/4) . So the reasoning behind this is : The first roll obviously has a 50% chance to roll on either 1 or 2. Second roll is the same. BUT, lets say both of them land on 1, and now it HAS to land on 2 the remaining two times. So my problem is with the current solution that I have is what if the die lands on 1 on the first roll, then on two for the second one. then the third roll would still have a 2/4 AKA a 50% chance of landing on either one. I'm sure the last roll is 1/4 but I just dont know if the order matters on the rolls. This has been driving me crazy the last hour. Please help if you can thanks

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k of mass 100 m that is resting on a table with negligible friction. The top of the table is a distance h above the floor. After the collision, the projectile and the block fly off the table and land a distance x from the base of the table. Express all answers in terms of m, h, Vo, and appropriate constants:
a. The velocity of the projectile and block as they leave the table.
b. The distance x
Suppose that the projectile passes through the block instead of being trapped in it.
c. Will the time required for the block to reach the floor from the edge of the table now be greater than, less than, or the same as before? Justify your answer.
d. Will the distance x for the block be greater than, less than, or the same as before? Justify your answer.

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35.1.) A pail is used to fill the concrete in a 5000 mm x 3000 mm x 150 mm concrete ...

s
Bedroom. The pail has an exterior diameter of 350 mm and interior 300 mm on the top while 200 mm
exterior diameter x 150 mm interior diameter on its bottom. The pail has a height of 500 mm. Calculate
the capacity of concrete the pail can hold and how many pails of concrete are needed to fill the
concrete slab of the master’s bedroom?
2.) An Infinity pool that has a dimension of 10518 mm x 17880 mm x 1524 mm will be excavated; the
height of the pool is ¼ above ground. If one small truck can hold 100 cu.ft of soil, how many truckloads
of soil will be excavated?

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= 4, y = 15, and dy/dt = 1.
x2 + y2 = 241
dx/dt= ??

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37.Let a = sin b, 0 < b < pi/2. Find, in terms of b, the solutions of sin 2x = ...

So far I just tried to do the obvious and substitute -a for - sin b. Like so;
sin 2x = - sin b
which then becomes;
sin 2x = sin -b
and then I can remove the sines and rearrange for x, which gives me this.
2x = -b
x = -b/2
However, if I were to look at the domain of b. Any value within the domain will give a value that doesn't fit the domain of x. Any suggestions would be great. Thank you!

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38.3. Given: x ∈ Q and y ∈ Q. Prove that 3x − 5y ∈ Q. You may use without proof: the ...

ference, and product of integers
is an integer.
4. Given: x ∈ R. Prove:
9x
2 + 5 > 12x.
At the idea stage, reduce the given inequality by setting it to 0. Then, it
should be helpful to complete the square.

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39.Engine 1 and Engine 2 are engines that move at the same speed and are the same length. Engine 1 ...

80 seconds to completely travel a distance of 1440 meters while Engine 2 took 100 seconds to completely travel a distance of 1700 meters. If Engine 1 is X meters long and Engine 2’s speed is Y meters per second, what is X + Y?

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34.0 N when it’s not in the water. When it’s submerged in water (the density of water is
1.00 x 103 kg/m3) the scale now reads 27.0 N. (a) What is the density of the block? (b) If you
suspended another object from the block that has a density of 3.20 x 103 kg/m3, with both objects
submerged, what would the object's mass need to be for the scale to once again read 34.0 N?
Note: Part (a) is worth 7 points, and part (b) is worth 8 points.

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By 5 Table 1st Row 1st Column x 2nd Column 1 3rd Column 2 4st Column 3 5st Column 4 2nd Row 1st Column y 2nd Column 1.86 3rd Column 3.75 4st Column 6.12 5st Column 11.3 EndTable
Select the correct choice below and fill in the answer boxes to complete your choice.
x: 1,2,3,4
y:1.86,3.75,6.12,11.3
(Type integers or decimals rounded to the nearest hundredth as needed.)
f=_()square root of x
f=_+(_) ln x
f(x)=_
1+(_)e suqare root -(_)x

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lity...
"As part of a probability experiment, Elliott is to answer 4 multiple-choice questions. For each question, there are 3 possible answers, only 1 of which is correct. If Elliott randomly and independently answers each question, what is the probability that he will answer the 4 questions correctly?"
Solving the question I keep getting 1/256. My reasoning is that each question has a 1/4 chance of being right if you guessed, so 1/4 x 1/4 x 1/4 x 1/4 = 1/256.
But my answer choices are as follows, with the correct answer being E:
A. 27/81
B. 12/81
C. 4/81
D. 3/81
E. 1/81
Am I missing something? Or am I just completely solving this wrong?

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de by credit card; you think this is true at your store as well. On a typical day you make 20 sales.
Show that this situation can be modeled by a binomial distribution. For credit, you must discuss each of the criteria required for a binomial experiment.
Define the random variable x in this scenario, using the context of the problem.
List all possible values of x for this situation.
On one trial for this scenario, what does “success” mean? Explain using the words of the problem.
What is the probability of success in this scenario?
What is the probability of failure in this scenario?
Probability Distribution Instructions¬¬¬¬
In Excel, create a probability distribution for this scenario.
Label Column A as “x” and Column B as “P(x).”
In Column A, list the numbers 0 to 15.
In Column B, use BINOM.DIST.RANGE to calculate the probability for each x value.
Highlight the probability cells, then right click and select Format Cells. Format the probability cells as “Number” and have Excel show 4 decimal places.
Create a probability histogram using the probabilities you calculated. Format and label it properly. Be sure to use the “Select Data” button to change the x-axis so it correctly lists the x-values.

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is the middle of the DrawingPanel. Ask the user to enter an x
and a y coordinate for a DrawingPanel. Your program will draw a line from the last
coordinates to the current coordinates the user enters. If the user enters an x value or y value
out of bounds of the DrawingPanel, then end the program.

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he National Center for Health Statistics reports that
the mean systolic blood pressure for males 35 to 44 years of age is 128 and
the standard deviation in this population is 15. The medical director of a
company looks at the medical records of 72 company executives in this age
group and finds that the mean systolic blood pressure in this sample is X =
126.07. Is this evidence that executive blood pressures differ from the national
average? Conduct a hypothesis test to answer this question using α = 0.05.

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seen an equation of a circle this is moved in both the x and y direction be converted to a polar equation.
For example, I know that the equation of a circle x^(2)+(y-2)^(2)=4 is r=4sin(theta) when converted to polar. Same thing for a translation with the x variable. However, I have never seen, nor do I know how to do, a conversion of a circle with both translations. For example, converting this equation of a circle to a polar equation: (x+3)^(2)+(y-4)^(2)=4. I have no idea how to do such a thing and cannot find any examples of such.
Hope you can shed some light on this, Thanks.

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rued when you go from making 1 chai tea latte a day to 40 chai tea lattes a day. (Hint: relationship between marginal cost and total cost)
2. Suppose that C(x) = -0.01x + 5 represents the daily cost of heating the doughnut shop, in dollars per day, where x is time in days and x = 0 corresponds to January 1, 2020. Find the total cost of heating the shop for the first two weeks of January, and find the average cost to heat the shop each day for the first two weeks of January.

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producer's surplus if the equilibrium price of a unit
$
99
.A retailer anticipates selling
7600
units of its product at a uniform rate over the next year. Each time the retailer places an order for
x
units, it is charged a flat fee of
$
100
. Carrying costs are
$
38
per unit per year. How many times should the retailer reorder each year and what should be the lot size to minimize inventory costs? What is the minimum inventory cost?
For a particular commodity, the demand function is
q
=
1
4
(
400
−
p
2
)
.
a
.
Find
ε
when
p
=
8
.A hotel rents
240
rooms at a rate of
$
60
per day. For each
$
1
increase in the rate, three fewer rooms are rented. Find the room rate that maximizes daily revenue.

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estimated he consumed 12, 000 kcal/day.
Given that the formation of one ATP molecule from ADP and inorganic phosphate, requires 7.3 kcal/mole and that aerobic respiration is only 34% efficient, how many ATP molecules did Michael Phelps produce each day?
Reminder: There are 6.022 x 10^23 molecules/mole.

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lve an equation, find the derivative of a function at a point, or calculate the value of a definite integral. However, you must clearly indicate the setup of your question, namely the equation, function, or integral you are using. If you use other built-in features or programs, you must show the mathematical steps necessary to produce your results. Your work must be expressed in standard mathematical notation rather than calculator syntax.
Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit.
Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point.
Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.
Let f be a twice-differentiable function such that f′(2)=0 . The second derivative of f is given by f′′(x)=x2e2−x−1 for 0≤x≤6 .
(a) On what open intervals contained in 0
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Itchy hand
disease” (IHD) – a disorder characterised by muscle aches and pains, fever and an itchy rash on the hands and
feet. Itchy hand disease is thought to have a higher incidence in older persons and smokers. Dr Boisty was
interested in determining whether healthcare workers were more at risk of developing IHD than were workers
in other sectors and decided to investigate this issue.
Five hundred health care workers were recruited into the study. They were compared to 700 office workers.
Both groups were followed for six months. During follow-up, any presentation to a doctor was notified to the
study team, who contacted the doctor to find out what the diagnosis was. The outcome of interest was IHD. Of
the 500 health care workers, 43 developed IHD during the study. Of the 700 office workers, 23 developed IHD
during the study.
Dr Boisty knew that many members of the community liked to take a supplement called Herbal Extract X (‘HEX’)
to try to “boost their immune system”. Herbal Extract X was also suspected of causing IHD. So, Dr Boisty
collected information on the use of HEX by the study participants.
Of the health care workers, 400 used HEX; 39 of these developed IHD. Of the office workers, 300 used HEX; 15
of these developed IHD.

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54.Suppose that you run the following regression: Y i = β 0 + β 1 X 1 i + ...

i + β 4 X 4 i + β 5 X 5 i + μ i
You then decide to test the null hypothesis β 2 = β 3 = β 4 = 0.
What is your restricted model?

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esis StartFraction 1 Over x cubed EndFraction right parenthesis Superscript n
. Write a simplified expression that represents the amount of bacteria in an infection 2 hours after taking medication.
The expression
nothing represents the amount of bacteria in an infection 2 hours after taking medication.
(Type your answer using exponential notation. Simplify your answer.)

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57.(1,5) , (2,10) and (3, 19) are points on the curve y = ax^2 + bx + c. Found a, ...

-1 and c = 4.
So quadratic function is y = 2x^2 - x + 4.
Next question is: suppose that the 3rd point is written as (3, t). Find all values for t that will change the quadratic function y =ax^2 + bx + c into a linear function.

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de the printout below. Use these values as estimates of the mean and standard deviation found in the population of all low prices. Suppose that the low prices were normally distributed (regardless of what your data may indicate). Find the proportion of all low prices that would be between $20 and $50 in the population. I want you to show your work. To receive full credit, you should include pictures of the normal curve (labeled with both x and z-values) with the pertinent probabilities shaded in the picture

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f $490 , and he is going to put in $70 per month. Maria opened her account with a starting amount of $670, and she is going to put in $40 per month.
Let x be the number of months after today.
(a)For each account, write an expression for the amount of money in the account after x months.
(b)Write an equation to show that the two accounts have the same amount of money.

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x0) being impossible to find so it can be dropped. My lecture notes also say f(x) = f(x0) + integral of f'(t)dt with upper bound x and lower bound x0. I'm just confused as to which is the tangent line approximation because they seem to be different equations. If the integral is evaluated on the 2nd one it gives f(x)-f(x0) but the 2nd term for the first equation (dropping R1(x;x0) gives xf'(x0)-x0f'(x0) which seems to be a different term to me. So I'm wondering which is the tangent line equation (or if the tangent line equation has more than 1 unique form) or how the second one equals the first if they are equal.

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61.Complete the table. Describe the combination of transformations of ( ) 3 f x x = that would take ...

the dancing robot from his starting position to his ending position

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62.I how did this thing turned out i didn’t really understand can you explain? 1) x=y^2 ...

| Y
0-0
1-1
2-1.41
2– -1,41
2) y/3 =x+1
X | y
-2- -3
-1- 0
0-3
11-6
I dont know how’d they get that can u please explain the solution.

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he also pays $0.10 of tax every dollar she spends. Write an expression that shows how much tax she pays. Then expand the expression.

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ric acid. Titration of 11.3 mL X with 0.119 M silver nitrate required 78.2 mL of the latter. The resulting precipitate, containing a mixture of Ag2CrO4 and AgCl, was dried and found to weigh 1.420 g. How much 0.142 M sodium hydroxide should be used to neutralize 11.3 mL solution X?

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acid. Titration of 13.6 mL X with 0.139 M silver nitrate required 40.7 mL of the latter. The resulting precipitate, containing a mixture of AgBr and AgI, was dried and found to weigh 1.260 g. How much 0.117 M sodium hydroxide should be used to neutralize 13.6 mL solution X?

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e forecast calls for a 70% chance of snow on Saturday and a 50% chance of snow on Sunday. What is the probability that it will snow both days?
I think the answer is 35% but my teacher disagrees. (0.7 x 0.5 = 0.35)
Can you help me?

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ter it first opens.
Time (days), x 3 4 7 10 12 13 17 18 21 27 30
Number of personal recommendations, y 12 14 18 23 28 31 46 50 67 118 157
(a) Write the exponential regression equation that models the data.
(b) Use the equation to estimate the number of personal recommendations 60 days after Jackson opens his business. Show your work.

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ter it first opens.
Time (days), x 3 4 7 10 12 13 17 18 21 27 30
Number of personal recommendations, y 12 14 18 23 28 31 46 50 67 118 157
(a) Write the exponential regression equation that models the data.
(b) Use the equation to estimate the number of personal recommendations 60 days after Jackson opens his business. Show your work.

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properties:
f is differentiable everywhere
f(x+y)=f(x)f(y)
f(0) doesn't equal 0
f'(0) = 1
Show that f(0)=1
Show that f(x) > 0
Use the limit definition of a derivative to show that f'(x) = f(x) for all values of x

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ned online. Using technology, with x representing the ratings and y representing price, we find that the regression equation has a slope of 130 and a y-intercept of negative 363. Complete parts (a) and (b) below.
a. What is the equation of the regression line? Select the correct choice below and fill in the answer boxes to complete your choice.

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71.x f(x) 1 1 2 4 3 9 4 16 Find ...

terms of f(x-1).
For example,
x f(x)
1 1
2 3
3 5
4 7
To find the pattern
f(x)=1=1+0 = 1.1 + 2.0
f(x)=3=1+0+2 = 1.1 + 2.1
f(x)=5=1+0+2+2 = 1.1 + 2.2
f(x)=7=1+0+2+2+2 = 1.1 + 2.3
so the formula becomes 1+2(x-1).
e.g. x=4, f(x)= 1+2(4-1)=7.

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a tilebased game,
2D rectangle tiles with a size of 5000X5000 pixels per rectangle.
I make every rectangle know the 4 neighbouring rectangles in the map so starting from one you can generate an essentially infinite map.
I want to move this map around instead of moving the player around, the player stays centered on screen and since the map moves under him it looks like he's the one doing the moving.
So I know the following things:
Width and height of a single section:
5000X5000 pixels
the x and y location of the center section can be a value anywhere from -5000,-5000 to 5000,5000
The visible screen real estate is 1920 X 1080 pixels big
0X,0Y always stars top left, bottom right is 5000X5000
What I need to end up with:
A percentage value of howmuch this specific section is visible on screen, "inside the rectangle that is the scfeen)

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he
mining ship has a mass of 10,000 kg. The first rocket stage provides a thrust of 80 kN and is used over a
distance of 100,000 km. The second rocket stage provides a thrust of 40 kN and is used over a distance
of 200,000 km. The third rocket stage provides a thrust of 30 kN and is used over a distance of 400,000
km.
1) Calculate the final velocity of the rocket using two methods:
a. Using the work-energy theorem.
b. Using kinematics and Newton’s laws of motion. Hint: You might need to use the
quadratic formula to solve for t:
2) Calculate the total amount of time it takes for the mining ship to reach the other asteroid.
3) If the ship has a reverse thruster that provides 200 kN of thrust, how many km before reaching
the destination should the mining ship engage the reverse thrusters?

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el of the flow in the coating zone x ∈ [0; L], y ∈ [0; h(x)] a lubrication approximation will be developed. If λ >> 1, and if α is close to, but less than 1 the coating zone appears plane. Use the equation of continuity to show by an order of magnitude estimate that |vy| << |vx|. Then state assumptions on flow and pressure field that reduce the Navier- Stokes equation locally to a form, from which the following approximate expression for the x-velocity in the slot for x ∈ [0; L] can be derived:
Se the attached.

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75.For which value(s) of a does the curve y = x^2 + ax + 2 ...

1 ? (Without using differentiation rules)
For each statement, explain why it must be true, or use an example to show that it can be false.
a)If y = f ( x ) has a horizontal tangent line at x = 1 then y = g ( x ) , where g ( x ) = f ( x − 1 ) + 1 , has a horizontal tangent line at x = 2 .
b)A tangent line always has exactly one point in common with the graph of the function.

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76.I dont understad these questions: For which value(s) of a does the curve y = x^2 + ...

ave a horizontal tangent line at x = 1 ? (Without using differentiation rules)
For each statement, explain why it must be true, or use an example to show that it can be false.
a)If y = f ( x ) has a horizontal tangent line at x = 1 then y = g ( x ) , where g ( x ) = f ( x − 1 ) + 1 , has a horizontal tangent line at x = 2 .
b)A tangent line always has exactly one point in common with the graph of the function.

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rcept form are the x- and y-intercepts. Find the x- and y-intercepts for the two lines below and then use them to graph each line. Write the coordinates of the x- and y-intercepts on your graph. Homework Help ✎
x − 2y = 4
3x + 6y = 24

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78. Value: 1 equation image indicator a. (x - 2)2(x - 3)2 b. (x2+ 4)(x2+ 9) c. (x - 2)(x + ...

2)(x - 3)(x + 3)
d. (x2 - 4)(x2+ 9)
Value: 1
The table below shows the cost of purchasing a standard stapler at five office supply stores, A through E. If the median cost of purchasing a standard stapler for these stores was $17.99, which of the following could NOT have been the cost of the stapler for Store A?
staplergraph.jpg
a. $19.95
b. $18.95
c. $16.95
d. $19.25
Value: 1
If equation image indicator then x =
a. 7
b. 1/5
c. 5
d. 1/7
Value: 1
A six−sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of tossing a number less than three?
a. 1/3
b. 0
c. 1/2
d. 1/4
Value: 1
If 6m + 4 = 8m, then 4m =
a. 6
b. 2
c. 8
d. 4
Value: 1
In the xy-plane, what is the y-intercept of the graph of the equation equation image indicator?
a. 2
b. 4
c. 16
d. There is no y-intercept.
Value: 1
Which of the following equations has both 2 and −4 as solutions?
a. x2 + 6x + 8 = 0
b. x2 - 2x - 8 = 0
c. x2 + 2x - 8 = 0
d. x2 - 2x + 8 = 0
Value: 1
The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure?
a. 22
b. 28
c. 35
d. 40
Value: 1
(3x-2y4)-3 =
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
A softball is tossed into the air upward from a first floor balcony. The distance of the ball above the ground at any time is given by the function, distance function.png, where h(t) is the height of the softball above the ground (in feet) and t is the time (in seconds). What was the maximum height, in feet, of the softball above the ground after it was thrown?
a. 28
b. 30
c. 32
d. 34
Value: 1
A group of 100 people, some students and some faculty, attended a museum opening. Each student paid $10 per person for entrance to the museum and each of the faculty paid $25 per person for entrance. If the total paid, for all 100 people, was $1300, how many students attended the museum opening?
a. 20
b. 50
c. 70
d. 80
Value: 1
The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?
a. 21
b. 15
c. 19
d. 9
Value: 1
In the xy−coordinate plane shown below, point P has coordinates (8, −6). Which of the following is an equation of the line that contains points O and P?
O and P graph.jpg
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
a. 54
b. 6
c. 2/3
d. 3/2
Value: 1
A farmer has 1235 trees to be planted on a rectangular parcel of land. If there are 24 trees planted in each row and each row must be complete before it is planted, how many trees will be left over after planting?
a. 21
b. 11
c. 0
d. 55

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ups need one hour in Machine 1; whereas glasses need one hour. The company has exactly ten hours available in Machine 1. Use the method of substitution to find the maximum values of X and Y and the maximum value for the objective function. Show all the steps in the method.

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dog. John charges $17.50 up front, plus $13 per dog. Write the system of linear equations that describes this situation.
hannah: y = 10.5 x 25
john: y = 17.5x + 13
For how many dogs would they both charge the same price, and what would that price be? Describe when Hannah would be cheaper and when John would be cheaper.

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81.Let's say that I have a data set of every time a certain person has coughed since the beginning of ...

his year. I'm looking for a formula that will tell me the probability that a person will cough x number of times in a given week.
I started with the Poisson Distribution, but Poisson doesn't seem to take into account standard deviation. To calculate the probability with Poisson, only the mean, expected value, and test value are needed, meaning the variance/standard deviation of the data could vary widely, and you'd still get the same probability distribution. For example, if someone coughed exactly 5 times everyday, you'd get the same probability distribution if this person alternated coughing 0 times one day, 10 times the next, 0 times the next day, 10 times the next, and so on.
Does my question make sense? Thanks for your help.

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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics