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An airplane flying at an altitude of 8 miles and passes directly over a radar antenna. When the plane has a distance 10 miles from the radar, the radar detects that the distance in increasing at a rate of 300 miles/hour. What is the speed of the plane?
Create an Euler diagram to determine whether the syllogism is valid or invalid: Some nurses are patient.
Find the demand function p(x), where x is the number of the spectators. (assume that p(x) is linear)
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x'+2y=0 and x'-y'=0
How much should you save every year on order to have the proper amount invested when you retire and find the derivatives
He has invented a counter for his bike which counts the number of revolutions the wheels make
A box has a square bottom, and interior volume of 2.00 m3, and an interior height of 0.500 m. What is the greatest length stick (diameter is negligible) that can fit inside the box?
A light bulb manufacturer knows that 0.08% of all bulbs manufactured are defective. A testing machine is 98% effective. If a randomly selected light bulb is tested and found to be defective, what is the probability that it actually is defective?
Develop a joint probability table and show the marginal probabilities. What is the probability of a household whose income exceeds $40,000 and who rejects the offer?
Suppose you have two functions f and g and you use them to form a composite function. Under what conditions will they be the same? Include a numerical example in your answer.
Find the slope and the line through the points (2,8) and (7,3). Find the slope and the y-intercept of the line 9x + 3y =81. On Friday, Shawn drove to the lake in 45 minutes. On Sunday he returned up in 9 less minutes and averaged 12 more miles per h..
Prove the identity (n~r) (r~k) = (n~k) ((n-k)~(r-k)), whenever n, r, and k are nonnegative integers with r less than/equal to n and k less than/equal to r:
Each of the numbers 0 through 24 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even. Note: 0 is considered an even number.
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