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If a projectile is launched from a platform 30 feet high with an initial velocity of 128 feet per second, then the height of the projectile at t seconds is given by s(t) = -16t2 + 128t + 30 feet.
(a) At what time does the projectile attain its maximum height? Show some work.
(b) What is the maximum height attained by the projectile? Show some work.
The length of a rectangular garden is 10 feet longer than its width. If the garden's perimeter is 212 feet, what is the area of the garden in square feet?
A sample of 100 provided a sample mean of 75.7. The population standard deviation is known to be 12. At 0.01 level of significance, what is your conclusion? Use either the p-value approach on the critical value of approach.
Thirty-eight percent of hospital admissions for diabetic patients are related to problems with the kidneys. In a sample of 10 diabetic hospital admissions, calculate the mean and standard deviation of diabetic patients with kidney problems.
Evaluate the line integral, where C is the given curve. (Round your answer to one decimal place.)
What is the maximum number of regions into which a circle can be cut using four lines?
Find the continuous growth rate per hour. Write your answer as a percentage. Round your answer to one decimal place.
In an 8 inch square cake pan and a 9 inch square cake pan, what is the difference in volume each pan will hold? Assume each pan is 2.5 inches high. Show step by step work. Include correct units with your solution.
two rainstorms occured in one week in a certain area. In the first storm 30ml of rain fell per hour and in the second storm 15ml of rain fell per hour
A gun is fired with angle of elevation 30°. What is the muzzle speed if the maximum height of the shell is 486 m? (Round the answer to the nearest whole number. g ≈ 9.8 m/s2)
What is the area of the base? Are longs = 10? He added 4 more layers of base10 blocks on top of the base. What is the volume of the prism?
An elevator at a construction site has a maximum capacity of 3000 pounds. If the elevator operator weighs 245 pounds and each cement bag weighs 95 pounds, how many bags of cement can be safely lifted on the elevator in one trip?
From this information, we can determine the following information about the amount remaining in a toothpaste tube without invading anyone's privacy.
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