if x is not a multiple of but xy is what is the smallest possible value of y

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

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

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

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?

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

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.

and y = 2, then z = 56.

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?

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).

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

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.

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.

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.

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

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?

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

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.

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. *

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?

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.

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?

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.

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 .

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.

'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.)

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 View More

AP Math