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A swimming pool is 12 meters long ,6 meters wide, 1 meter deep at the shallow end, and 3 meters deepat the deep end (see figure). Water is being pumped into thepool at 1/4 cubic meter per minute, and there is 1 meter of waterat the deep end. (a) What percent ofthe pool is filled? (b) At...
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The aircraft carrier tallahassee is traveling at sea on a steady course with a bearing of 30 degrees at 32 mph. Patrol planes on the carries have enough fuel for 2.6 hr of flight when traveling at a speed of 520 mph. One of the pilots takes off on a bearing of 338 degrees and then turns and heads...
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An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane is 10 miles away (s = 10), the radar detects that the distance s is changing at a rate of 250 miles per hour. What is the speed of the airplane?
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a labaratory designed a radio telescope with a diameter of 320 feet and a maximum depth of 48 feet. the graph depicts a cross section of this telescope. find the equation of this parabola.
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2. In 2000, the General Social Survey (GSS) asked subjects whether they would be willing to pay much higher taxes in order to protect the environment. Of n = 1167 respondents, 369 indicated a willingness to do so. Find a 95% confidence interval for the population proportion of adult Americans...
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suppose a varies jointly as b and the square root of c and inversely as d^2, and a=6 when b=4, c=81, and d=3. Find a when b=20, c=36 and d=2
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Find exact coordinates of the centroid of the region in the first quadrant bounded by the given curves. y = x4 x = y4
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A heated rod with temperature 200 C is left to cool down in a room with temperature 30 C . Suppose the temperature of the rod at time t is modeled by where A,B and K are constants and t is measured in minutes. If the temperature of the rod falls to 100 C after 10 minutes , compute A,B and K
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The owner of a football team claims that the average attendance at games is over 727, and he is therefore justified in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null...
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2/7y=-10 What does y equal
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- 1. I’m having problems with my math. Can you help me? All I need is an example just to make sure I'm on track.
- Solve the following
- a) 3/(n+1)-1/(n+1)=14/(n^2-1)
- b) 1/(y-1 )+y/(1-y)
- c)4/(x-5)-3/(x+2)=28/(x^2-3x-10)
- d) (x-2)/(8x-24)*(5x-15)/(x^2 -4)
- e) z/(z-1)+1/2=3/z
- f) (x-3)/(x^2+2x-15)-(4-x)/(x^2-9x+20)
- 2. How do I set up this problem? An exam contains five "true or false" questions. How many of the 32 different ways of answering these questions contain 3 or more incorrect answers?
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