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A building casts a shadow 345 ft long when the angle of elevation of the sun is 48°. Find the height of the building.
The braking distance y in feet that it takes the car to stop on wet, level pavement can be estimated by y=1/16x^2, where x is the speed of the car in miles per hour. Find the speed associated with the braking distance of 169 feet.
Evaluate double integral: (int from 0 to 1). (int from 0 to cos inverse y). [square root (1 + sin x) dx dy.
a 6 ft ladder is leaning against a wall. If the bottom of the ladder moves away from the wall at a speed of 3 ft/s, how fast is the midpoint of the ladder falling (towards the ground) when the bottom of the ladder is 3 ftaway from the wall?
Find a nonzero vector PQ with initial point P(-1,3,-5) such that u is opposite in direction to v = (6,7,-3). In other words, find the coordinates of Q.
what is the annual interest rate or delinquent. what other penalties might you be subject to besides late fees? considering what you have found. is this card a good deal or not? explain your answe.
Create a function to determine how much revenue you will make at each price you charge. This is done by multiplying the price times your function. For example if your function is Cups Sold = 1000 - 100*Price, your revenue function would be Price*(..
Explain Pat paid 1/3 of his debt one year and 1/4 of his debt the second year. At the end of the year, how much of his debt remained?
Let I be an ideal of R and let S be a subring of R. prove that I(intersection)S is an ideal of S. ALSO, show by some example that not every ideal of a subring S of a ring R
Write the given number in standard notation and write the number in standard notation. 8 × 10 6
Suppose instead of making monthly deposits, Mary decides to deposit a "lump sum" into the account. How much must she deposit? What is this value also called?
Let X be a continuous random variable with the PDF f and the CDF F. Assume that f(x) > 0 for all real numbers x. Define the random variable Y = F (X ). Show that Y is uniform in the interval [0, 1].
Which set of vertices represents a square?
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