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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?
An electron and a proton are located at positions x = 0.10 and -0.10 nm respectively, on the x-axis. (a) Find the electric dipole moment of this system. (b) Find the magnitude and direction of the e
What was the direction of the average force applied to the passenger by the seatbelt?
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 3 way light bulb can produce 50 W, 100 W, or 150 W, at 120 V. Such a bulb contains two filaments that can be connected to the 120 V individually or in parallel. What must be the resistance of each
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?
Find the energy transformed from mechanical to internal in the particle-hoop-floor system as a result of friction in one revolution.
Suppose that when two liquids, A and B, are mixed, the totalvolume after mixing is smaller than the sum of the volumes of the two liquids before mixing. What does this imply about the forces acting
A student investigating the specific heat of an unknown metalused a styrofoam cup as a calorimeter. She measured the mass of thewater, 50.2025g; the mass of metal, 56.0371g; the initialtemperature o
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?
Protons in a linear accelerator are accelerated through a potential difference of 400,000 volts. what is the velocity of the protons after being accelerated? If the protons are accelerated between t
Calculate the half-life of the decomposition of azomethane.(According to the discussion in the text, the decomposition of azomethane is first order and the rate constantis 2.6 x 10-3 s-1.)
Every second 300 photons are incident normally on each square meter of a 3.0 cm thick absorber. Each of these photons has only 75% of the energy needed to create an electron-positron pair. The absor