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A design on the surface of a balloon is 5 cm wide when the balloon holds 71 cm^3 of air. How much air does the balloon hold when the design is 10 cm wide? Explain the method you use to find the amount of air.
The size of a certain bacteria culture doubles each hour. If the number of bacteria present initially is 3000, how many would be present at the end of 6 hours?
Two trains leave stations 312 miles apart at the same time and travel toward each other. One train travels at 75 miles per hour while the other travels at 55 miles per hour. How long will it take for the two trains to meet?
For a class of 43 students, for a certain exam, the mean grade is 67 and the standard deviation is 7, how many students should receive a C?
Make a position-vs.-time graph of that trip.
Integrate using trigonometric substitution )(dx) / (√25x2 + 4) Show all steps
Suppose an object is dropped from a height feet above the ground. Then its height, in feet, after seconds is given by . If a ball is dropped from 208 feet above the ground, how long does it take to reach ground level?
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Provide an example and a reference.
rancher in calgary builds a silo in his corral. The rectangle corral measures 21m by 15m and the silos base is circular in diameter with a diameter of x meters. Find a polynomial for the remaining area of the corral.
What is the critical value for this test at the 5% significance level (95% confidence level)? Do the data provide sufficient evidence to conclude that there is fraud committed?
Determine the sample size needed to estimate (lower case mu / mean of a random variable) for the given situation. E = 4, standard deviation = 35, level of confidence = .90
Find the number of calculators produced from the beginning of the third week to the end of the fourth week. (Round your answer to the nearest integer.)
What is the annual compound interest rate for an investment account modeled by the function y = 12 • 1.18x?
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