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If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 80minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as the following.
Find the rate at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.)
All of the graphs in occur in real life. Find a real-life application of each of the below graph and describe the characteristics of each application as related to the graph.
With the definition that pi is the area of the unit circle, explain why pi equals 8 times the integral from 0 to 1/sqrt(2) of (sqrt(1 - x^2) - x) dx. use the Romberg algorithm to approximate the integral.
Henry received a 6% raise. If his old monthly salary was $2,250, what is his monthly salary now? (Hint: Find the amount of the raise. The add the raise to the previous monthly salary.)
Find the supply and demand for particular value when supply and demand functions are given and How many videotapes are demanded at a price of $20?
In your own words, explain the difference between intersecting and perpendicular lines. Can two lines exist that are not intersecting or parallel? Explain your answer.
Gavin and Seiji both worked hard over the summer. Together, they earned a total of $425. Gavin earned $25 more than Seiji. How much did each of them earn?
Evaluate the equation of the Straight line - Sketch the curve.Circle: tangent to the line x=3, centre at (5,1)
a sample of single persons receiving social security payments revealed these monthly benefits: $926, $799, $1187, $1088, $1065, $980, $939, and $1065. Compute the median, mean and mode for these payments.
Prove the Second Isomorphism Theorem: If A is an ideal of R and S is a subring of R, then S+A is a subring, A, and (S intersecting A) are ideals of S+A and S, respectively, and (S+A)/A isomorphic to A/(S intersecting A).
If three parts are selected at random from the bin, what is the probability that exactly two are defective? I am having trouble understanding the correct equation
For the following right triangle, find the side length x. Round the answer to the nearest tenth.
An orchard contains 50 peach trees with each tree yielding an average of 58 peaches. For each 4 additional trees planted, the average yield per tree decreases by 12 peaches. How many trees should be planted to maximize the total yield of the orcha..
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