The function x times cap A is equal to square root of cap A over 6 end root can be used to determine the side length, x , of a cube given the surface area of the cube, cap A The function cap v times x is equal to x cubed can be used to find the volume of a cube. How can these functions be combined?
One brand of coffee is packaged in cylinders where the height is equal to the radius, r The volume of the package, in cubic centimeters, can be found using the function cap v times r is equal to pi r cubed The number of ounces of coffee in the cylinder depends on the volume of the cylinder, cap v , in cubic centimeters. This can be modeled by the function cap c times cap v is equal to 3 point 2 cap v Which function can be used to find the number of ounces of coffee in the can based on its radius?
A roller coaster starts with the cars being pulled up a ramp. The mass of the cars is estimated by the function m times p is equal to 175 p plus 1 comma 180 where p is the number of passengers in the car. The potential energy of the car is calculated using the function cap e times m is equal to 9 point 8 m h , where h is the height of the ramp. If the top of the ramp is 30 meters, which function can be used to calculate the potential energy of a car in terms of the number of passengers?
Boxes hold various numbers of square-based prisms in a single column. The square base of each prism has a side length of 18 inches. The height of each prism, h , can be found using the function h of cap v is equal to cap v over 324 , where cap v is the volume of the prism. The total height of the box, b , can be found using the function b times h is equal to x h , where x is the number of square-based prisms in a specific box. Which function can be used to find the height of a box containing 4 square prisms, depending on the volume of the prisms?
City planners anticipate an 8 point 2 percent population growth per year, including new residents and births. The population, in millions of people, based on this increase can be modeled by the function p times x is equal to 2 point 5 times 1 point 0 8 2 to the x th power , where x is the number of years of tracked growth. The planners also estimate a 3 percent population loss over the same time period that can be modeled by the function cap l times p is equal to p times 0 point 9 7 to the x th power Which function represents cap l times open paren p times x close paren ?
The thread length of a screw is the part of the screw with threads. The function t times x is equal to start absolute value x minus 63 point 7 5 end absolute value can be used to find the difference, in millimeters, of a specific screw’s thread length, x , and the expected value. If a screw’s thread has a radius of 35 point 5 millimeters, the volume of the difference in thread can be calculated by the function cap v times t is equal to 1 comma 260 point 2 5 pi t Which function can be used to find the volume of the difference in thread length depending on the total thread length?
The length of the string of a pendulum, cap l , can be determined using the function cap l times p is equal to 9 point 8 times open paren p over 2 pi close paren squared , where p is the period of the pendulum. The velocity at the bottom of the pendulum can be modeled by the function v times cap l is equal to square root of 19 point 6 liters Which function can be used to find the velocity at the bottom of the pendulum released from the same angle for any period, p ?
The function x times cap A is equal to square root of cap A over 6 end root can be used to determine the side length, x , of a cube given the surface area of the cube, cap A The function cap v times x is equal to x cubed can be used to find the volume of a cube. How can these functions be combined?
One brand of coffee is packaged in cylinders where the height is equal to the radius, r The volume of the package, in cubic centimeters, can be found using the function cap v times r is equal to pi r cubed The number of ounces of coffee in the cylinder depends on the volume of the cylinder, cap v , in cubic centimeters. This can be modeled by the function cap c times cap v is equal to 3 point 2 cap v Which function can be used to find the number of ounces of coffee in the can based on its radius?
Boxes hold various numbers of square-based prisms in a single column. The square base of each prism has a side length of 18 inches. The height of each prism, h , can be found using the function h of cap v is equal to cap v over 324 , where cap v is the volume of the prism. The total height of the box, b , can be found using the function b times h is equal to x h , where x is the number of square-based prisms in a specific box. Which function can be used to find the height of a box containing 4 square prisms, depending on the volume of the prisms?
The function x times cap A is equal to square root of cap A over 6 end root can be used to determine the side length, x , of a cube given the surface area of the cube, cap A The function cap v times x is equal to x cubed can be used to find the volume of a cube. How can these functions be combined?
The length of the string of a pendulum, cap l , can be determined using the function cap l times p is equal to 9 point 8 times open paren p over 2 pi close paren squared , where p is the period of the pendulum. The velocity at the bottom of the pendulum can be modeled by the function v times cap l is equal to square root of 19 point 6 liters Which function can be used to find the velocity at the bottom of the pendulum released from the same angle for any period, p ?
One brand of coffee is packaged in cylinders where the height is equal to the radius, r The volume of the package, in cubic centimeters, can be found using the function cap v times r is equal to pi r cubed The number of ounces of coffee in the cylinder depends on the volume of the cylinder, cap v , in cubic centimeters. This can be modeled by the function cap c times cap v is equal to 3 point 2 cap v Which function can be used to find the number of ounces of coffee in the can based on its radius?
A roller coaster starts with the cars being pulled up a ramp. The mass of the cars is estimated by the function m times p is equal to 175 p plus 1 comma 180 where p is the number of passengers in the car. The potential energy of the car is calculated using the function cap e times m is equal to 9 point 8 m h , where h is the height of the ramp. If the top of the ramp is 30 meters, which function can be used to calculate the potential energy of a car in terms of the number of passengers?
A ball is being inflated at a rate that can be modeled by the function cap v times t is equal to 10 t , where t is the number of seconds spent inflating the ball. The radius at a given volume can be modeled by the function r times cap v is equal to cube root of 3 cap v over 4 pi Which composite function can be used to determine the radius of the ball depending on the number of seconds spent inflating the ball?
The length of the string of a pendulum, cap l , can be determined using the function cap l times p is equal to 9 point 8 times open paren p over 2 pi close paren squared , where p is the period of the pendulum. The velocity at the bottom of the pendulum can be modeled by the function v times cap l is equal to square root of 19 point 6 liters Which function can be used to find the velocity at the bottom of the pendulum released from the same angle for any period, p ?
Boxes hold various numbers of square-based prisms in a single column. The square base of each prism has a side length of 18 inches. The height of each prism, h , can be found using the function h of cap v is equal to cap v over 324 , where cap v is the volume of the prism. The total height of the box, b , can be found using the function b times h is equal to x h , where x is the number of square-based prisms in a specific box. Which function can be used to find the height of a box containing 4 square prisms, depending on the volume of the prisms?
The thread length of a screw is the part of the screw with threads. The function t times x is equal to start absolute value x minus 63 point 7 5 end absolute value can be used to find the difference, in millimeters, of a specific screw’s thread length, x , and the expected value. If a screw’s thread has a radius of 35 point 5 millimeters, the volume of the difference in thread can be calculated by the function cap v times t is equal to 1 comma 260 point 2 5 pi t Which function can be used to find the volume of the difference in thread length depending on the total thread length?
A profit formula for dining plates from the previous year was modeled by the function cap p times d is equal to negative 15 d squared plus 1 comma 200 d minus 2 comma 000 The manufacturer noticed an increase in the number of units sold by 50 percent the next year, which can be modeled by the function l times d is equal to 1 point 5 d Which composite function can be used to find the new profit formula after the increase in the number of units?
The function r times x is equal to negative 0 point 0 0 0 3 4 5 times open paren x minus 50 close paren squared plus 2 point 1 can be used to model the curve of a road designed to allow for water to run off in rainstorms depending on the distance from the shoulder of the road, x , in feet. A European firm studying these curves is going to convert feet to meters using the function m times x is equal to 0 point 3 0 4 8 x Which composition can be used to model the curve of the road in terms of meters?
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