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Suppose quantity r changes at a constant rate of 2 with respect to quantity p. What is the value of r when the value of p is -10?
Performs the following three steps in the order given: (1) square root; (2) subtract 11; (3) make the quantity the denominator of a fraction with numerator 5. Find an expression for f(x) and find it
Sum both the series. What is the largest fraction of the particles which can escape at x = 0? (Remember that r must be between 0 and 1.)
The deflection y of a beam at a horizontal distance x from one end is given by the equation below, where L is the length of the beam and k is constant. For what values of x is deflection zero? \(y=
The volume of air in one beach ball is 288? in3. What is the volume of air in a ball whose radius is 3 inches greater than the first beach ball?
Translate "the difference between three more than the greater number and four times the lesser number" into a one-variable expression and simplify.
A population of bacteria doubles in size every 15 minutes. Write an expression using exponents to represent the number of bacteria after 2 hours if the starting population is p.
Write an exponential function y to determine the value of the car after x years if the rate of decrease is the same each year.
A can of diced tomatoes is the same height, but its diameter is 6 cm greater. What is the volume of the can of tomatoes?
Find the inverse of the model. And Use the inverse to determine the number of greeting cards produced when the company's cost to produce the cards was $1665.00.
If her goal is to maximize the amount of money she can make each week, how many hours will she work at the bookstore?
Find the change in the number of gallons in the tub when the draining time changes from 2 minutes to 6 minutes. How many gallons of water were in the tub before the tub began to drain?
Determine the maximum volume of the box. What is the value of x for the box with max volume? give your answers to the nearest tenth.
A fast food restaurant offers hamburgers with a choice of 7 different condiments. A customer can choose any number of condiments. How many different combination of condiments are possible?
The decibel scale measures the intensity of sound. The loudness of a sound, L decibels (dB). Calculate the intensity of this sound in terms of I0.
The cost C (in dollars) of manufacturing x radios at Ashley's Stereo World is given by the function C(x)=0.7x^2 - 392x + 63,606.
Graph bothy=x and g(x)= cubed root (2-x^3) on the same set of axes. After what kind of symmetry do you observe? What does this tell you about the inverse of g?
Define a formula that determines the distance from Lawrence in miles, d , in terms of the number of hours since passing the restaurant, t. Your formula should be in the form of an equation.
Let r represent the amount of time he spends running. Write an expression to represent the amount of calories that he burns.
A person weighing 130 pounds will burn 590 calories for every 6 miles that they run (at a particular speed). What does this mean for any change in the number of miles that Allyson runs?
A scuba diver descends from the water's surface to a depth of 60 feet. Which of the following are well-defined changing quantities in this situation?
Joni runs several laps around a 400-meter track. Identify each phrase as defining a Constant Quantity, Changing Quantity, or Not a Quantity.
Several variables related to this situation are defined below. Identify each as either a Valid definition, or as Not a Quantity, Not Specific Enough, or Missing Units.
By definition, a fixed point for the function f is a number x0 such that f(x0)=x0. For instance, to find any fixed points for the function f(x) =3x-2, we write 3x0 -2 = x0.
Find the Standard form of the quation of the ellipse with the given characteristics and center at the origin. Find the Standard form of the quation of the ellipse with the given characteristics.