Water is pumped into a tank at a rate modeled be W(t) = 2000e^(-t^2/20) liters per hour for 0 ≤ t ≤ 8, where t is measured in hours. Water is removed at a rate modeled by R(t) liters per hour, where R is differentiable and decreasing on 0 ≤ t ≤ 8. Selected values of R(t) are shown in the table above. At time t = 0, there are 50,000 liters of water in the tank.(a) Estimate R'(2). Show the work that leads to your answer. Include units of measure.(b) Use a left Riemann sum with the four subintervals indicated by the table to estimate the total amount of water removed from the tank during the 8 hours. Is this an overestimate or underestimate of the total amount of water removed? Give a reason for your answer.(c) Use your answer from part (b) to find an estimate of the total amount of water in the tank, to the nearest liter, at the end of 8 hours.(d) For 0 ≤ t ≤ 8, is there is a time t when the rate at which water is pumped into the tank the same as the rate at which water is removed from the tank? Explain why or why not. Question solved general 8 months ago 1533
There are 8 rows and 8 columns, or 64 squares on a chessboard. suppose you place 1 penny on row 1 column a, 2 pennies on row 1 column b, 4 pennies on row 1 column c, and so on … Question solved general 8 months ago 6775
You have 50 tickets to ride the ferris wheel and the roller coaster. if you ride 12 times total, using 3 tickets for each ferris wheel ride and 5 tickets for each roller coaster ride, how many times did you go on each ride? Question solved general 8 months ago 1913
what is the slope of the line that passes through the points (26,7) and (-39,12) A.-1/13 B.5/15 C.-13 D.13/5 Question solved general 8 months ago 1090
In the pulley system shown in this figure, MQ = 12 cm, NP = 3 cm, and QP = 40 cm. Find MN?-38 cm-41 cm-35 cm-39 cm Question solved general 8 months ago 3893
Pia printed two maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the second map is 6 cm.(Q. 1) 1 cm on the first map represents 2 km on the actual trail. What is the scale factor from the map to the actual trail? What is the length of the actual trail?(Q. 2) A landmark on the first map is a triangle with side lengths of 3 mm, 4 mm, and 5 mm. What is the scale factor from the first map to the second map? What are the side lengths of the landmark on the second map? Show your work. Question solved general 8 months ago 3945
(05.06 LC)A company dyes two sizes of rugs. A small rug requires 2 hours for dyeing and a medium-size rug requires 3 hours for dyeing. The dyers need to make at least 15 rugs, and they must do it in less than 60 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y ≥ 15 to create a system that represents this situation? (5 points) 2x + 3y < 60 3x + 2y < 60 2x + 3y > 60 3x + 2y > 60 Question solved general 8 months ago 2129
Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality:y > one half x + 2 (5 points) The origin is not included in the shaded region and the shaded area is above the line. The origin is not included in the shaded region and the shaded area is below the line. The origin is included in the shaded region and the shaded area is above the line. The origin is included in the shaded region and the shaded area is below the line. Question solved general 8 months ago 1053
The table below shows some values of f(x) and g(x) for different values of x:x f(x) = 2x + 24 g(x) = 5(0.5)x−2 20 −1 0 51 2.52 28 Complete the chart and determine the solution of the equation f(x) = g(x). (5 points) x = −2 x = −1 x = 1 x = 20 Question solved general 8 months ago 5149
(05.03 LC)Determine the solution to f(x) = g(x) using the following system of equations: (5 points)f(x) = 5.5x − 13g(x) = −5x + 18.5 x = 1 x = 2 x = 3 x = 4 Question solved general 8 months ago 4605
Oil leaks out of a tanker at a rate of f(t) gallons per minute, where t is in minutes. enter a definite integral using the variable t, expressing the total quantity of oil which leaks out of the tanker in the first two hours. Question solved general 8 months ago 6992
Nest egg. you begin working at age 25, and your employer deposits $300 per month into a retirement account that pays an apr of 5 % compounded monthly. what will be the size of your nest egg at age 65? (fill in the blank below and round your answer to the nearest cent.) nest egg with $300 per month = $ . suppose you are allowed to contribute $100 each month in addition to your employer's contribution. what will be the size of your nest egg at age 65? (fill in the blank below and round your answer to the nearest cent.) nest egg with $400 per month = $ . Question solved general 8 months ago 4655
The purpose of blocking in experimental design is: A. to give the quarterback enough time to throw the ball. B. to control for multiple variables in an experiment. C. to prevent response bias from entering into the experiment. D. to keep the subjects from knowing if they are in the treatment group. E. to keep the experimenter from knowing which subjects are in the treatment group. Question solved general 8 months ago 6555
I bought a box from the post office that has a volume of 24 cubic centimeters. Question solved general 8 months ago 7559
If the cost is a function depending in the number of sections, how much will 200 sections cost?A. 7,400B. 7,439C. 7,556D. 7,837 Question solved general 8 months ago 9695
Suppose that circles A and B have a central angle measuring 40°. Additionally, circle A has a radius of 5 2 ft and the radius of circle B is 9 2 ft. If the measure of the sector for circle A is 25 36 π ft2, what is the measure of the sector for circle B? Question solved general 8 months ago 6591