A car is driving away from a crosswalk. The formula d=t2+3t expresses the car's distance from the crosswalk in feet, d, in terms of the number of seconds, t, since the car started moving. Suppose t varies from t=2 to t=5. What is the car's average speed over this interval of time?

Q: Suppose that a snowstorm began at midnight. Let r(t) be the rate, in inches per hour, that snow…

A: Y axis represents the rate in inches per hour X axis represents the time in hours after midnight To…

Q: a) Find the interval of weekly food expenditures that will include 99.7% of the families of four…

A: Let , X→N(μ=420 , σ=80) Our aim is to find the following :  a) The interval of weekly food…

Q: If a ball is thrown into the air with a velocity of 40 fts, its height (in feet) after t seconds is…

A: To find the velocity we need dy/dt

Q: find the constant of variation k y varies directly as x. when x is 16, y is 20

A: Obtain the constant of variation k as follows.

Q: A molecule is moving along the x-axis such that at any timet 2 0 (in seconds), its position from the…

A: Find your answer below

Q: If a ball is thrown into the air with velocity of 60 ft/s, its height y in feet t seconds later is…

A: The average velocity  = the total distance traveled   devided by   the time spent traveling

Q: The value v of a porsch 718bCayman that is t years old can be modelled by v(t)=420000(0.965)t What…

A: The value is governed by the equation, v(t)=420000(0.965)2

Q: Find an equation for the line tangent to the graph of f(x) = -6xe" at the point (a, f(a)) for a = 2.

A:

Q: If a ball is thrown into the air with a velocity of 40 ft/s, itsheight (in feet) after seconds is…

A:

Q: If an object is thrown upward at 128 feet per second from a height of 36 feet, its height S after t…

A: Average velocity in first 4 seconds is

Q: yt + x* = F g?

A: Given that: y4+x4=x5y7 Now, take the all "y" terms on one side, we get: y7x5-y4=x4 Now take the…

Q: The revenue R of skiing facilities in the united states from 2000 through 2008 can be modeled by…

A: Given, R=1548e0.0617t So, the rate of change of revenue with respect to time dR/dt =  1548 *…

Q: The position, s (feet), of a ball above the ground, t seconds after being thrown, can be modeled by…

A:

Q: The position of a moving object is S(t) =t-3t-9t-1 meters to the right of 0 in t seconds. (a) When…

A: Explanation: Given that,  Position of a moving object is defined as,                             a)…

Q: If f(x) is the slope of a trail at a distance of x miles from the start of the trail, what…

A: Given that f(x) is the slope of a trail at a distance of x miles from the start of the trail.

Q: 1. Plot the function f(t)= (x+5) for -35 x 3. 4+3x2

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A particle is moving along the straight line and its position at any time t ≥ 0(in seconds) is given…

A: Given, st=t3-6t2+9t  meters Time interval = [0, 2]

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 770…

A: Given: The cost function is given as, C(x)=770+38x-0.062x2 The objective is to find the rate at…

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 720…

A:

Q: Find an equation for the line tangent to the graph of  f(x) = 6xex at the point (a,f(a)) for a =3

A: To write down the equation of the tangent to the curve at the given point

Q: Under certain​ conditions, the number of bacteria present in a colony is approximated by…

A: Given, f(t) is the number of bacteria present at time t in minutes. f(t)=(A0)e0.022t A0= 2100000…

Q: 1. Plot the function f(t): (x+5) for -35 x 5. 4+3x2

A: Plotting graph by finding slope.

Q: A population of bacteria is growing according to the equation P(t) = 1550e0.11t , where t is the…

A: The time dependence of the population is given by: P(t) = 1,550e0.11t  We have to find t when P(t)…

Q: What value for tmakes this equation true?

A:

Q: The height above ground of an object movingvertically is given bys = -16t2 + 96t + 112,with s in…

A: Given: st=-16t2+96t+112 for finding velocity at given point, first we find time where position is…

Q: The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 3t³ – 32t…

A:

Q: Q 4 Find the average rate of change between 5 and 0 for: f(x) = 6x2 -9x - 6

A: Obtain the average rate of change of function as follows:

Q: Find E(X) and if students pay $500 per course plus a $100 per-semester registration  fee., What is…

A: Amount paid for course fee=$500 Amount paid for per-semester registration fee=$100 The objective is…

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D =…

A:

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A: The annual rate of flow given by Total income from the machines over the first 3 years is

Q: The vertical position of a particle is given by the function s = t – 3t2 – 2. How far does the…

A: Topic = Algebra

Q: If an object is dropped from a 150-foot-high building, its position (in feet above the ground) is…

A: Negative sign of the velocity is due to the downward movement of the body.

Q: An accessories company finds that the​ cost, in​ dollars, of producing x belts is given by…

A: To find: The rate at which average cost is changing when 178 belts have been produced. Given: The…

Q: Medical research has found that between heartbeats the pressure in the aorta of a normal adult is a…

A:

Q: If a ball is thrown into the air with a velocity of 40 ft/s, its height (in feet) after t seconds is…

A:

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: The height of the ball f(t)=-16t2+326t+22

Q: The revenue of a multimillion corporation (in million pesos from 2000 to 2010 is modeled by…

A: In this question, we will find the rate at which the company's revenue is changing in 2008.

Q: A stock analyst has studied the historical behavior of a certain stock, and found that the price…

A: topic - average value of a function note : As per bartleby guidelines, we are supposed to answer…

Q: A population of bacteria is growing according to the equation P(t)=1700e0.17t. Estimate when the…

A:

Q: The annual revenue earned by Walmart in the years from January 2000 to January 2014 can be…

A:

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D= (5/3)r,…

A: Given that: D=53t2

Q: A car driving along a freeway with traffic has travelled s(t) =r' – 31* + 3t + 20 meters in t…

A:

Q: The distance in feet of an object from a starting point is given by s(t)=2t2-5t+40, where t is time…

A: Consider that distance s in feet as a function of time t in seconds- st=2t2-5t+40   a) Average…

Q: Solve for y in terms of x for the foltowing

A: e(ln2)y=12lne(ln2)y=ln12yln2=-ln2y=-1

Q: The vertical position of a particle is given by the function s = t – 3t2 – 2. How far does the…

A: Given position function of a particle. s= t3-3t2-2 Then the velocity function of this particle is…

Q: If an object is dropped from 182 foot high building, it's position (in feet above ground) is given…

A: Given that, an object is dropped from 182 foot high building. It’s position is given by,

Q: A population of bacteria is growing according to the equation P(t) = 1950eº population will exceed…

A:

Q: hummingbird

A:

Q: If a ball is thrown into the air with a velocity of 40 ft/s, its height (in feet) after t seconds is…

A: