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1.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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3.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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4.24) At 25 oC, what is the pOH of a 2.50 x 10–3 M aqueous HCl solution? 25) How many mLs ...

an aqueous 0.1125 M NaOH solution will it take to titrate 25.00 mL of an aqueous 0.05256 M H2SO4 solution to equivalence (25 oC)?

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5. 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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reaction between A(g) and X(g). What is the amount of heat released when 10 mol of A(g) reacts with an excess X(g) ?
ΔH
A -236kJ
X -136kJ
Y -167kJ
Using the heats of formation found in the table above, calculate ΔH for the reaction below.
6A(aq) + 7X(g) → 6Y(l)
Y + 2X → 4Z ΔH=-4
A + 3B → 2Z ΔH=-2
A → X +C ΔH=7
Using the thermodynamic data above, determine ΔH for the reaction below.
2C+ 6B → Y
When 0.3 moles of A(s) (4 grams) is dissolved in 12 grams of water at 23°C, the temperature of the water increases to 31°C. The specific heat of water is 4.18 J/g°C.
Calculate ΔH in kJ/mol. Report your answer to 1 decimal place.

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titrated with a 0.200 M solution of the base, LiOH.
Write the balanced chemical reaction for neutralization reaction:
HClO4 (aq) + LiOH (aq) → LiClO4 (aq) + H2O (l)
Write the NET ionic equation for the neutralization reaction.
OH⁻ (aq) + H⁺ (aq) → H2O (l)
Compute the pH of the titration solution. Show your work
i) before any of the base is added
ii) after 25. mL of base is added
iii) after 50. mL of base is added
A student performs the titration with the same chemicals but with smaller volumes of each chemical . Which of the following titration curves could represent the titration. Explain
A because this entails a strong acid and a strong base.
Question 2
A student performs a titration of an unknown acid with a strong base and gets the following titration curve:
a) The student consults the list of pKa of acids shown below. If the acid is listed in the table below, which is the most likely identity of the unknown acid? Explain.
Acid
Ka
HF
7.2 x 10-4
CH3COOH
1.8 x 10-5
H2CO3
4.3 x 10-7
HBrO
2.0 x 10-9
The unknown acid is HBrO because the calculated Ka is in between 50^-4 and 50^-6 and 2.0 x 10^-9 lies in between them.
b) What is the initial molarity of the acid?
10^-3 = 0.001M
Question 3
a) Describe the components and the composition of an effective buffer solution. Explain how the components of the buffer allow the buffer to maintain its pH.
An effective buffer solution has a weak acid and its conjugate base or a weak base and its conjugate acid. A buffer solution is most effective when the ratio of its component concentrations is close to 1, also when the pH is equal to the pka of the acid.; The components of the buffer allow the buffer to maintain its pH because buffers can absorb excess H+ions or OH– ions.
An employer is interviewing four applicants for a job as a laboratory technician and asks each how to prepare a buffer solution with a pH of 5.0. The following constants may be helpful: hydrazoic acid, pKa = 4.74 Boric acid, pKa = 9.23
Archita A. says she would mix equal molar solutions of hydrazoic (HN3) and sodium azide (NaN3) solutions.
Bradley B. says she would mix equimolar Boric acid (H3BO3) and HCl solutions.
Carlos C. says he would mix equimolar Boric Acid (H3BO3) and sodium dihydrogen borate (NaH2BO3) solutions.
Delia D. says he would mix equimolar hydrazoic Acid (HN3) and NaOH solutions.
b) Which of these applicants has given an appropriate procedure? Explain your answer
Delia because she is using Sodium hydroxide which results in a pH of 5. NaOH is a strong base and in order to have an effective buffer a weak acid must be incorporated which is the HN3.
c) Explain what is wrong with the erroneous procedures.
The rest all incorporate a strong acid and a strong base or a weak acid and a weak base which don’ result in an effective buffer.
d) The applicants have access to the 1 Liter volumes of each of the solutions listed above. They have access to graduated cylinders. In order to make 1.0 Liter of the correct 5.0 buffer solution, what volumes of the two chemicals must be mixed?

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8.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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10.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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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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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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14.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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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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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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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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19.1.) 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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20.3. 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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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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22.An elevator WEIGHS 1.0 x 10⁴ N. {Part A} Draw a free body diagram for each part of this questions ...

to show which force is larger [5 marks] {Part B} Determine the MASS of the elevator [2 marks] {Part C} The elevator begins to accelerate UPWARDS from rest at 5.0 m/s². What is the force tension in the cable? [3 marks] {Part D} The same elevator is moving UPWARDS and starts to DECELERATE at 3.0 m/s². What is the force tension in the cable? [3 marks] {Part E} The elevator moves DOWN at CONSTANT velocity at 10 m/s. What is the force tension in the cable? [2 marks] {Part F} The elevator cable snaps (and everyone screams!). What are the forces working on the elevator now? Draw a diagram [2 marks]

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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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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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't change, but throughout the night the height of the mattress is decreasing. The rate at which it decreases varies over time: at the beginning it is just shrinking a tiny bit, but after a while it starts shrinking faster. If the height of the of the mattress follows the formula h=18-0.2x^2, where h is the height in inches and x is the time in hours, and the length of the mattress is always 74 inches, and the width of the air mattress is always 54 inches, please find the rate at which the VOLUME of the air mattress is changing after 2 hours. V ' =
cubic inches per hour after 2 hours. (Round to one decimal place, but take a picture of your work and send it to me if you're worried your answer might be slightly off.)

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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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, a standard deviation of $1 would be considered large if it is describing the variability from store to store in the price of an ice cube tray. On the other hand, a standard deviation of $1 would be considered small if it is describing store-to-store variability in the price of a particular brand of freezer. A quantity designed to give a relative measure of variability is the coefficient of variation. Denoted by CV, the coefficient of variation expresses the standard deviation as a percentage of the mean. It is defined by the formula CV = 100(s/ x ). Consider two samples. Sample 1 gives the actual weight (in ounces) of the contents of cans of pet food labeled as having a net weight of 8 oz. Sample 2 gives the actual weight (in pounds) of the contents of bags of dry pet food labeled as having a net weight of 50 lb. There are weights for the two samples.
Sample 1 7.7 6.8 6.5 7.2 6.5
7.7 7.3 6.6 6.6 6.1
Sample 2 50.7 50.9 50.5 50.3 51.5
47 50.4 50.3 48.7 48.2
(a) For each of the given samples, calculate the mean and the standard deviation. (Round all intermediate calculations and answers to five decimal places.)
For sample 1
Mean
Standard deviation
For sample 2
Mean
Standard deviation
(b) Compute the coefficient of variation for each sample. (Round all answers to two decimal places.)
CV1
CV2

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to the line x = -9.

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ng the snow. The first child exerts a force of F1 = 11 N at an angle θ1 = 45° counterclockwise from the positive x direction. The second child exerts a force of F2 = 6 N at an angle θ2 = 30° clockwise from the positive x direction.
Find the magnitude (in N) and direction of the friction force acting on the sled if it moves with constant velocity.
magnitude
direction (counterclockwise from the +x-axis)
What is the coefficient of kinetic friction between the sled and the ground?
What is the magnitude of the acceleration (in m/s2) of the sled if F1 is doubled and F2 is halved in magnitude?

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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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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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33.You have 100 feet of fencing to enclose a rectangular yard and plan to use part of a 250-ft straight ...

wall as one
side of the rectangle. Let x represent the length of wall you will use.
A)a. Write an equation for the area A of the rectangular yard (in terms of x).
B)What is the domain of A as a function of x? Explain.
C)c. What is the range of A? Explain.

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34.Three more than two-thirds of a number is the same as 1 less than twice the number. Let x be ...

ber. Write and solve an equation to find x.

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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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38. 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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39.if the scale factor of Figure A to Figure B is 3:8, find the value of x one triangle has an ...

nside, ith an x on the hypotenuse side.
The seond triangle has a B, with a 24 on the hypotenuse side

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

mathematicsalgebra Physics