In parallelogram ABCD , diagonals AC and BD intersect at point E, AE - z - 24, and CE =5c What is AC ? Enter your answer in the box. unitsCalculator What is the exact volume of a cylinder whose radius is 21 centimeters and whose height is 30 centimeters? Enter your answer, in terms of , in the box. cm3The amount of money in a bank account is given by the function y - 700(1 + 0.09)", where y is in dollars and f is measured in months since the account was opened. What is the percent rate of growth of the bank account? Enter your answer in the box. %Calculator A wedding photographer charges an hourly rate plus a service fee. As a courtesy to the customer, after 8 hours of work, the photographer waives the service fee and drops the hourly rate. The cost of the photographer's services can be modeled by this piecewise function, where x represents the number of hours worked. 125x + 300, = $ 8 115, 1 > 8 How much would it cost for 6 hours of work? Enter your answer in the box.\fGraph the function f (x) = 4|x -+ 2 - 8 using the ray tool Select the endpoint and another point on the ray to graph the ray Ray + Move 10 0 -9 -8 -7 -6 -5 -4 -3 -2X In the figure, Y X and YZ are tangents to circle A at points X and Z, respectively. A mXSZ - 215" What is the measure of ZXYZ ? Enter your answer in the box.This figure shows circle P with diameter AD 8 mZADB = (4z +4)" mZAPB = (9z - 4)' What is the measure of / BPD ? Enter your answer in the box.\f\fWhat is the shape of the cross section of the triangular prism in each situation? Drag and drop the answer into the box to match each situation. Triangular prism is sliced so the cross section is parallel to the base. Triangular prism is sliced so the cross section is perpendicular to the base. circle triangle rectangle trapezoidCalculator An interior designer is installing a chandelier in the middle of a D triangular shaped ceiling in the entry way of a house. The interior E designer will install the chandelier at the centroid of the triangle. G A diagram of the triangular ceiling shown by A ABC was used B to determine the location of the chandelier, point G. One of the A medians of the triangular ceiling, CF. is 30 feet. What is the distance from the window above the door, point F to the chandelier, point G? feetWhat are the coordinates of the circumcenter of a triangle with vertices A(5, 2), B(3, 2) . and C(3, 8) ? Enter your answer by filling in the boxes.The number of adults who attend a state fair can be modeled by the function a (d) = -0. 4d* + 2d + 7, where d is the number of days the state fair has been open. The number of children who attend a state fair can be modeled by the function c(d ) = --0.3d- -+ 3d + 11, where dis number of days the state fair has been open. Which function, f(d), can be used to determine how many more children than adults attended the state fair on any day? O f(d) - -0.7d + 5d + 18 O f(d) -0.7d - 5d - 18 O f(d) - -0.1d' -d-4 O f(d) =0.1d2 + d +4\fLet f ( z) = =z +2. Graph the inverse function, f (x) , using the line tool. Line + Move 10 8 CO -10 -2 -8 -7 -6 -5 -4 -3 -2 - 2 3 4 5 6 9 -2 -3A model rocket is launched into the air with an initial velocity of 12 feet per second from a height of 2 feet. A model hot air balloon is let go at the same time from a height of 10 feet. The balloon floats up at rate of 5 feet per second Write a system of equations to represent the scenario above. Let f represent time in seconds and / represent the height Use the formula h (t) - -16t- + vet + ho for objects that are launched Drag and drop an equation into each box to create the system of equations Rocket Hot air balloon h(t) = -16t- + 2t + 12 h(t) = -16t- + 12t + 2 h(t) = 5t + 10 h(t) = 10t + 5In 2000, the population of a town was 8914. The population is expected to grow at a rate of 1.36% each year. What is the function that represents the the population : years after 2000? O y = 8914(1 + 0.0136)2000 O y - 2000(1 + 0.0136) O y= 8914(1 + 0.0136) O y- 8914(1 + 0.0136) 2000In circle P. PA is a radius and .B is a tangent segment. Which statement must be true? O ZPAB is a right angle O PA - BA O /PAB is an acute angle O PA - PB