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1.An airplane can fly 400 mi/h in still air. If it can fly 88 mi with a tailwind in the same amount of time it takes to fly 72 mi against the tailwind, what is
(a) the speed of the tailwind,
(b) the speed of the airplane flying with the tailwind, and
(c) the speed of the plane flying against the tailwind?
2. Working by herself, Penny can paint a billboard in 6 hours. Her new apprentice, Brian, requires 12 h to do the same job. How long would it take both of them working together to paint a billboard?
A man invested a total of $22,000 in two investments. he made a profit of 7% on the first investment and 2% in the second investment. If his total profit was $920, what was the amount of each investment?
A set of digits consists of one 1, two 9's, and one 7. A pair of these digits is randomly selected without replacement. What is the probability that the pair can be arranged to form a two-digit prime number?
Use Newton's Method for three steps to find the cube root - Evaluate the Newton's method discrete-time dynamical system to check your answer for the first step and compute the next two values.
a cylindrical storage tank has a diameter of 18 feet and a height of 16 feet. what is the volume of the storage tank.
A rectangular field with a perimeter of 32 feet must have an area of at least 60 square feet (or possibly more). What are the possible values for the length of one side so that both conditions are met? Express your answer in interval notation.
Find the profit equation by substituting for R and C in the equation P=R-C, What is the profit made from selling 15 dvd players per month>
The results showed 65% of those who responded were in favor of electing a Republican in the next election. Interpret the results by identifying what we can conclude about the way the general population feels about electing a Republican president i..
1. in each case below prove or disprove that the subgroup h is normal in the group g.if h is normal in g determine
A bin contains 62 light bulbs of which 7 are defective. If 4 light bulbs are randomly selected from the bin with replacement, find the probability that all the bulbs selected are good ones. Round to the nearest thousandth if necessary.
Tam bought two pairs of roller skates. The difference between the prices of the two pairs of skates was $64. The sum of the prices was $294. How much did each pair of roller skates cost?
Find the horizontal asymptote and y-intercept for a given function - Explain the transformations on the given graph
if 1500 square centimeters of material is used to make a box with square base and an open top, what is the largest possible volume of the box?
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