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A stuntman jumps from a rooftop 330 ft off the ground. How long will it take him, falling freely, to reach the ground? Show your work.
If we identify the rational numbers with a subset of R(t), what function corresponds to a given rational number r?
The perimeter of a rectangular building is 234 feet. The width is 25 feet shorter than the length. What are the dimensions?
A line passes through the point (x,y) = (-2,-1) and has a slope of -2 . Write an equation for this line.
How does solving an equation differ from manipulating an expression? How are they alike?
The manager of a weekend flea market knows from past experience that if he charges x dollars for a rental space at the flea market, then the number y of spaces
Cleaning solution is made by mixing 1/3 teaspoon baking soda, 2 tablespoon of dishwashing liquid and 2 cups lukewarm water.
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $380 to drive 480 mi and in June it cost her $460
Evaluate the difference quotient for the given function. Simplify your answer.
What is the formula for the volume of a rectangular solid? Find an object in your residence that has the shape of a rectangular solid.
Flight of a Ball If a ball is thrown upward at 96 feet per second from the top of a building that is 100 feet high, the height of the ball can be modeled
Show that none of the following mappings f:X?X have a fixed point and explain why the Contraction Mapping Principle is not contradicted.
Indicate whether the given points below are on line 1, on line 2, on both line 1 and line 2, or on neither one of the two lines:
Prove that if {f_n:R?R} is a sequence of continuously differentiable functions such that the sequence of derivatives {f_n^':R?R} is uniformly convergent
The price of a certain product varies according to how much is available. At a production level of x units the price per units the price per unit is 3.40-0.01x.
Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work.
When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -10t^2 + v*t + k gives the height of the ball at any time
In 1998, the population of a given country was 37 million, and the exponential growth rate was 5% per year. Find the exponential growth function.
Write the two equations in slope-intercept form, and then determine how many solutions the system has.
How can the graph of f(x) = -(x -1 )2 be obtained from the graph of y = x2?
Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Set-up the system described below, justify which method you would use to solve, by graphing, substitution, or elimination then solve
Write it in scientific notation format as well as regular format. In addition, explain any other advantages of using scientific notation.
Demand equation. Helen's Health Foods usually sells 400 cans of ProPac Muscle Punch per week when the price is $5 per can