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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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(CHO) cell lines. Compressed air is continuously supplied for 2 weeks with a flow rate of 0.05 m3/min and velocity of 0.31 m/sec into a 2.5 L medium. It is found that the air provided contain 2.8 x 10 5 CFU/m3 of contaminants. Determine the dimension of the filter used, if the X90 value for cotton wool is 1.5 cm.

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4.A force of 40.0 N is needed to compress a spring 0.200 m. A 1.00 x 10-2 kg ball ...

ring.
a) Calculate the work done to compress the spring. (2 marks)
b) What happens to the work done on the spring ? (1 mark)
c) If the spring is released, what happens to the energy of the spring? (1 mark)
d) Calculate the total mechanical energy of the ball at the instant it leaves the spring. (2 marks)
e) What will be the speed of the ball at the instant it leaves the spring? (2 marks)
f) If the ball is fired up into the air by the spring, how much gravitational potential energy will it gain? (1 mark)
g) What will be the maximum height of the ball? (2 marks

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

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7.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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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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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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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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4 + 2x3 − 27x2 − 40x
x =
Incorrect: Your answer is incorrect.
Determine any irrational zeros. (Enter your answers as a comma-separated list. If there are no irrational zeros, enter NONE.)
x =
Factor the polynomial completely.

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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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14.1.) 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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have to be if it contained 3.00 x
1024 atoms of lead?

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er-example (if false).
(a) If |f | is integrable on [a, b], then f is also integrable on [a, b].
(b) If f = F ′ for some function F on [a, b], then f is continuous on [a, b].
(c) If g is continuous on [a,b], then g = G′ for some G on [a,b].
(d) If G(x) = ???? x g is differentiable at p ∈ (a, b), then g is continuous at p.

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ticket sells for $7 and each adult ticket sells for $10.50. The auditorium can hold no more than 110 people. The drama club must make no less than $840 from ticket sales to cover the show's costs. If x represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

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etween. *
A
B
D
3. Which shows the following numbers in order from least to greatest? *
B
C
D
4. Which is the best name for this group of numbers? *
A
B
D
5. Which point on the number line best represents √3? *
A
B
C
For question 6 and 7, write each number in either scientific notation or standard notation. 6. The diameter of Mercury is 4879 kilometers. *
7. The diameter of a bacterial cell called a mycoplasma is about 2 x 10-7 meter. *
8. In which group are the numbers in order from greatest to least? *
B
C
D
9. Greg found the length of a hypotenuse of a right triangle to be √90 feet. Between which two integers does √90 lie? *
A
B
C
10. Which is the best name for this group of numbers? *
A
C
D
11. The water levels of five Texas lakes were measured on the same day in 2010. The table below shows the number of feet above or below normal level for each lake. Which list shows the numbers in the table from greatest to least? *
B
C
D
12. Which numbers from this list are less than -0.94? *
B
C
D
13. The length of a micrometer is approximately 0.00003937 inch. How would you express this in scientific notation? *
A
B
C
14. The National Park Service manages approximately 84,000,000 acres of federal land. How would you express this number using scientific notation? *
B
C
D
15. Seismosaurus is the longest known dinosaur. It measured 1800 inches. How far would 3000 Seismosaurus dinosaurs span if they were placed head to tail? Write your answer in scientific notation. *

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as, "help," but I'm not understanding where the leap from step 1 to step 2 happened. How did they get to 1/7 x 1/? x 9/1?? I need to let my instructor know when I can't go further but I'm wondering if I'm just missing a small piece? I would like to contact my advisor today and let them know about my progress. Any thoughts?

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20.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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21.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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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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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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ind
ε
when
p
=
8
.The supply for a particular item is given by the function
S
(
x
)
=
15
+
7
x
. Find the producer's surplus if the equilibrium price of a unit
$
99
.

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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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29.- I was very sick for a while so I don't really know what I am doing * This homework ...

eation of several BST functions * We have to use Valgrind * We have to create a memory struct that provides a compare function for insertion * The above needs to contain two fields of unsigned int, representing memory address and size int memory_addr_cmp(const void* x, const void* y){ //TODO return 0; } By the instructions: "This function takes two arguments, const void* x and const void* y, you will need to cast both of them to type "memory*", and make comparisons. If x is less than y, return -1. If x is greater than y, return 1. If they are equal, return 0;" Also per the instructions, concerning the BST functions "Note, in particular, that there are two separate structus - the node struct that describes information for a single node in the tree, and a bst struct, that holds the root pointer and a function pointer to the comparison function being used for this tree. When you first create the tree, you pass in the comparison function, and this will be used for all functions that need it thereafter. Therefore, after that, you don't need to specify the comparison function to bst-level functions. The stored function pointer is then passed to the node-level functions." So then we have to create allocation and initialization functions for both the BST and one for the node. * nod_insert, BST_insert then inorder_traversal

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achine B. The nature of the machines makes their cost functions differ.
Total cost is given by C(x,y)equalsUpper C left parenthesis x right parenthesisplusUpper C left parenthesis y right parenthesis. How many units should be made on each machine in order to minimize total costs if xplusyequals19 comma 740 units are required?
The minimum total cost is achieved when
___ units are produced on machine A and
___ units are produced on machine B

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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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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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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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35.I am wondering if we have a circle and someone goes around the circle three times. 1. the first time ...

me he goes around the circle X m/s
2. the second time he goes around the circle Y m/s
3. His average velocity is Z m/s
4. What is the velocity the third time.

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of a product. Given the cost (in 10's $) of a toy is c=2x-1+2/x, where x is the number of quantity in 1000s. the total cost is given by C=xc. find the total cost, find the minimum cost, and lastly, if each toy can be sold for $20, at what quantity will it be given a break-even?
I don't understand this question so I hope u could explain it to me.

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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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39.2. If the mean of the numbers 9, 10, 11, 12, and x is 12, what is the value ...

s of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink?
5. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k?
9. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole.
22. What is the greatest value of c for which the roots of the equation x^2 + 4x + c = 0 are real?
24. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places.
7, 24 and 25
A._________________ (smaller value)
B._________________ (larger value)

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40. 1. What is the greatest value of c for which the roots of the equation x^2 + 4x + ...

2. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places.
A._______________________ (Smaller Value)
B. _______________________ (Larger Value)
3. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole.
4. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k?
5. If 8 ounces of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink?
6. If the mean of the numbers 9, 10, 11, 12, and x is 12, what is the value of x?

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41. 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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42.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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43.If light travels through a medium at a speed of 2.2 x 10^8 m/s, what is the index of refraction ...

he medium?
1.33
1.36
1.46
1.51

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44.a. x2 = x Vx As the statement has quantifiers, it is a proposition. x2 = x => x = 0 or ...

The statement is not true for all x.
Can anyone explain the last sentence, what is x is all of x if x is square

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

mathematicsalgebra Physics