Write the function Q = 2e(−0.5t) in the form Q = Q0at  ______________________________. (round to four places.) Always be prepared to show your work if same or similar test is given in class.   a. Q = 2(1.65)t   b. Q = 2(0.69)t   c. Q = 2(0.6065)t   d. Q = 2(1.05)t   e. None of these

Q: A ball is thrown upward from the top of a 60-foot-high building at a speed of 50 feet per second.…

A:

Q: A manufacturer of tools, selling rechargeable drills to a chain of home improvement stores, charges…

A: Manufacturing cost is = $mManufacturer charges $2 more per drill. So manufacturer sells at $(m+2)

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A: Solve the problem by constructing the function from the given conditions.

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A:

Q: Is the function T(s)=(11s^-3)(es^−5)  a power function? If so, write the function in the form…

A: Simplify the function. So we could write it in the form  T(s)=ks^p. So it is a power function.

Q: n object is launched directly in the air at a speed of 88 feet per second from a platform located 4…

A: Given f(t)=-16t2+88t+4 ---(1)for maximum height find f'(t) and put is equalto zero

Q: During a volleyball game, Christine dove to save a ball. The function h(t)=- 4.9ť + 8.5t…

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Q: 1. Johana works in the crime lab at the New York City · Police Department. A woman's shoe was found…

A: Here a function which represents the relationship between height of the woman and the shoe size of…

Q: An orange is shot up into the air with a catapult. The function h given by h(t) = 15 + 60t – 16t2…

A: We have given orange's height as function of time  h(t) = 15+60t-16t2 When orange hits the ground…

Q: The average annual major league baseball player's salary for each year since free agency is…

A:

Q: 3. Ryde, a new ride-sharing app, determined that the average cost, in dollars, per mile, x, will be…

A: We have to check

Q: P43210 The height of a rocket after t sec. is given by the function H(t) = 36t - 6t2. In how many…

A: Explanation of the answer is as follows

Q: To Cool Auto pays commission based on the profit they make from the vehicle. They pay 21% when…

A: Given: Cool Auto pays commission based on the profit they make from the vehicle. They pay 21% when…

Q: Your used Chevy’s gas mileage (in miles per gallon) is given as a function M(s) of speed s in miles…

A:

Q: The function P(n) = 420n 8820 represents a computer manufacturer's profit P(n) when n computers are…

A: given that P(n)=420n-8820

Q: The height h of a projectile is a function of the time t it is in the air. The height in feet for t…

A: Given   The height function of the partical h(t)=-16t2+96t

Q: 9. In 2004, the highest spaceplane flight was made by Brian Binnie in Space Ship One. A flight with…

A:

Q: The monthly cost of a certain texting plan is given by the function C(n)=0.05n+10.95 where C(n) is…

A: Given ,  The monthly cost of a certain texting plan 8s given by the function C(n) = 0.05 n + 10.95…

Q: A baseball player hits a pop fly into the air. The function s(t) = -16t2 + 64t + 5models the ball’s…

A: Ball's height model s(t)=-16t2+64t+5 To find: Time to reach maximum height and maximum height.

Q: 42. A cannonball is fired from a cliff that is 260 feet above ground. The height s, in feet, of the…

A: (a) Obtain the time at which the cannon ball will be 320 feet above the ground.

Q: 10. You are given a 200 meters of fencing material and asked to enclosed a rectangular lot with…

A:

Q: 1) Football travels through the air followed by the function h(t)= -4.9t^2+16t+1 where h is the…

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Q: The function P(x) = – 1.5a? + 775x – 5500 gives the profit when a units of a certain product are…

A: As per our guidelines we are supposed to answer only 3 subparts. Kindly repost other subparts as…

Q: The function P(x) = – 3.75x? + 775x 7500 gives the profit when a units of a certain product are…

A: The profit function is given by Px=−3.75x2+775x−7500 where, P(x) is the profit in dollars and x is…

Q: 29. Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His…

A: Jason's height after 3 seconds where height as a function of time defined as ht=-16t2+16t+480 where…

Q: A baseball is hit by a batter. The function s(t)= -16t2+140t+3 models the ball’s height above the…

A: At ground, the ball's height above the ground is zero. Substitute s (t) =0 and find the value of t.

Q: An stomach virus spreads around a school with 750 students. After t days, the number of people who…

A: An stomach virus spreads around a school with 750 students.ft=7501+27 e-0.13t

Q: Ashley is going to throw a ball from the top floor of her middle school. The function h(t) = – 16t²…

A: see below the answer

Q: A glass prism with a square cross-section is to be shipped in a cylindrical cardboard tube that has…

A: In this question we have to find the length of side of the glass prism.

Q: b. Could h(n) be 150? Explain how you know. 2. Function h describes the height of a ball, in inches,…

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Q: Collet earns P100.00 per hour as a math tutor. With t number of tutees how much will Collet earn…

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Q: The baseball team pitcher was asked to participate in a demonstration for his math class.  He took a…

A:

Q: A baseball player hits a pop fly into the air. The function s(t) = -16t2 + 64t + 5models the ball’s…

A: Given s(t) = -16t2 + 64t + 5

Q: The function p(x) 2006. Which statement best describes p(9)? 8,963(1.03)* models the population of a…

A:

Q: 3. A ball is kicked in the air and its height is modeled by the function h(t) = – 16 + 481, where…

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Q: 6. Create a function g(x) that gives you the total area of the patio: the total area of the pool…

A:

Q: A high-interest loan company determines late fees using the function L(t) = 10e0.012, where L…

A: SOLUTION: as given, L(t)=10 e^(0.01t)   for  t=67 days   ,   L(67)= 10 e^(0.01*67)=$19.54 hence…

Q: A baseball player hits a pop fly into the air. The function s(t) = -16t2 + 64t + 5 models the ball’s…

A: Given function is st=-16t2+64t+5. Rewrite the above equation. st=-16t2+64t+5=-16t-22+69 Thus, the…

Q: The height h of a projectile is a function of the time t it is in the air. The height in feet for t…

A: Topic = Algebra

Q: You throw your mask into the air and let it fallto the ground without catching it. The height…

A:

Q: 17. A rocket is shot into the air. The height of the rocket is modelled by the function h(t) = -5t2…

A: We are entitled to solve only one question at a time so will answer only question. Please post…

Q: Jada walks to school. The function D gives her distance from school, in meters, as a function of…

A: For a function, y=f(x), x is the independent variable and y is the dependent variable.…

Q: The circumference of a circle is given by the formula 2πr, where r is the radius of the circle. A…

A:

Q: The top of an electricity pole is supported by a rope of length 5 feet from the base of the pole. If…

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Q: A movinf truck rental company charges $34.45 to rent a truck, plus 0.67 per kile. Suppose the…

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Q: 7. Gerri made a function machine. Below are four pictures of her machine. What is the equation for…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.