The function f(x)=70e-0.5x+30 describes the percentage of information, f(x), that a particular person remembers x weeks after learning the information. a. Substitute 0 for x and, without a calculator, find the percentage of information remembered at the moment it is first learned. b. Substitute 1 for x and find the percentage of information that is remembered after 1 week. c. Find the percentage of information that is remembered after 12 weeks.

Q: Water will be both added to and drained from a bathtub at the same time for 7 minutes. The total…

A: It is given that a bathtub has water added and drained simultaneously for 7 minutes. The total…

Q: At what value of x does the function f(x) =x-2 x change from decreasing to increasing?

A:

Q: The function f(x) = 4ᴫx3/3 describes the volume, f(x), of a sphere of radius x inches. If the radius…

A: f(x) = 4πx33 Volume of sphere , f(x) = 4πx33 where,  x is the radius of sphere in inches.…

Q: The supply for a particular item is given by the function S(x) = 15 + 13x . Find the producer's…

A: Given, S(x)=15+13x           And the equilibrium price =$ 236

Q: A company estimates the profit for selling a certain commodity by the given function, P(x) = -x2…

A: We will find out the required value.

Q: If x represents the temperature of an object in degrees Celsius, then the temperature in degrees…

A: We have, if x represents the temperature of an object in degrees Celsius, then the temperature in…

Q: Find the point of diminishing returms (x,y) for the function R(x), where R(x) represents revenue (in…

A:

Q: Find point of diminishing returns for the function, where R is revenue ( thousands of dollars) and X…

A: Given:

Q: At what value of x does the function f(x) = 3 x- x change from decreasing to increasing? %3D

A:

Q: The revenue function is given by R(x) = x - p(x) dollars where x is the number of units sold and…

A: Given :Rx=x.pxpx=414-x5x=10

Q: The function C(x)=300x+6,000 represents the cost to produce x number of items. How many items should…

A:

Q: The revenue​ (in dollars) from the sale of x car seats for infants is given by the following…

A:

Q: Find the range for the function x²+y²=4

A:

Q: The number of White Sturgeon in thousands can be modeled by f(x) = 170(0.82)*in a particular region,…

A: givenf(x)=170(0.82)x when f(x)=7then7=170(0.82)x(0.82)x=.041taking log on both…

Q: The amount of foreign earnings​ (in trillions of​ dollars) kept overseas can be approximated by the…

A: we have been given the function for the number of foreign earnings kept overseas  f(x)=0.232(1.18)x…

Q: Enter the equation of the function, g(x), whose graph is the result of f(x) = √√x shifted right 6…

A: Please see the below picture for detailed solution.

Q: For Exercise, graph the function. -3 for x 0 h(x) =

A: We make a table for x<-2 Then we make a table for -2<= x<0 And make a table for x>=0…

Q: A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of…

A: Given,           A company has found that its expenditure rate per day in hundreds of dollars on a…

Q: Find the point on the graph of the function f(x)=(x+1)2 that is closest to the point (-6,1). Round…

A: Plot the curve f(x) and the point ( -6, 1). Assume any general point x1,y1 on the curve f(x) and…

Q: Even though housing prices have been declining in many parts of the​ country, in​ Lara's…

A:

Q: Starting with the graph of f(x) = 4", write the formula for the function that results from

A: Given data:     The given function is: f(x)=4x.     (a) To shift the curve three units upward, add 3…

Q: Match f(x) with its graph without using a calculator. -… (x)

A:

Q: During a month-long advertising campaign, the total sales S of a magazine is modeled by the function…

A: The given function of sales  S = 2x2 +22x + 14000 Differentiate on both side with respect to x dS/dx…

Q: Find the point on the graph of the function f(x)= (x+1)? that is closest to the point (-5, 1) .…

A: Givenfx=x+12Closest to point −5,1

Q: Consider the function f(x) = -3x²³ +3x²-3x -\ Find average rate of change on interval (-4,-1). Find…

A:

Q: The number of daily users for Japan’s Line messaging service (in millions) can be approximated by…

A: The approximating function that represents the given scenario is: g(x)=53.1+63.1 ln(x) where x…

Q: Find the point on the graph of the function that is closest to the given point: f(x) = x² , (2,5)…

A:

Q: An earthquake causes a piece of glass to fall off a building from a height of 2,704 ft. If the…

A:

Q: Find the point of diminishing returns for the given revenue function.…

A:

Q: f(x) = is the range in which the function is decreasing.

A: fx=exx Differentiating with respect to x, we get f'x=dexdx·x-dxdx·exx2…

Q: The daily cost of producing x high performance wheels for racing is given by the following function,…

A:

Q: dont understand the fourth and fifth row of equation of gh(x) and why the function is invalid?

A: Solution

Q: A company has found that its rate of expenditure​ (in hundreds of​ dollars) on a certain type of job…

A:

Q: Suppose that the selling price P of an item to the quantity x sold is given by P = -+x+ 50. Osxs 200…

A: As the question have more than 3 sub parts I'm solving the first three parts. Re post the question…

Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: From given the volume function is fx=x3.

Q: Suppose f(x) represents the cost, in dollars, of producing x tons of coal and g(t) represents the…

A:

Q: The amount of foreign earnings​ (in trillions of​ dollars) kept overseas can be approximated by the…

A: Given:

Q: For a long-distance phone call, the phone company charges $⁢0.70 for the first 8 minutes or less,…

A: The company charges a constant charge for phone calls if we are using phone calls for first 8…

Q: In college, we study large volumes of information— information that, unfortunately, we do not often…

A: (As per the bartleby guidelines, questions containing multiple subparts, only first three subparts…

Q: The rate, in calories per minute, at which a person using an exercise machine burns calories is…

A:

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Revenue function, R(x)=-49x3+4x2+8, 0≤x≤5 To find the diminishing return, we shall use second…

Q: The weekly cost of producing x electric drills is given by the function C(x)=2400+ 28x+0.25x².

A: Note : As per our guidelines we are supposed to answer only first three subparts. Kindly repost…

Q: A 12-inch tall sunflower is planted in a garden and the height of the sunflower increases by 8% per…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks A 12-inch tall…

Q: The dollar cost of producing x bagels is given by the function C(x) = 300 + 0.25x – 0.5(x/1000)³.…

A:

Q: 1.) The cost of producing and shipping x squeaky dog toys per month is given by the function C(x) =…

A: Since t=you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Match the function with its graph. f(x) = 4(x – 1)? II 4- -5- -5 -6 -3 4 -3 2 -1

A:

Q: The revenue from the sale of a product is given by the function R= 441x-x°. Selling how many units…

A:

Q: The average annual pay for truckers P in a certain country​ (in thousands of​ dollars) can be…

A:

Q: The revenue function of a company as a function of units sold x is R(x)=2x−0.005x2. How many units…

A: Given revenue function:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.