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a. A certain wheel has a diameter of 98 inches. If that wheel travels for 108 revolutions, then.
Questions: How many years has it gone? (use 22/7 for pi)
b. A regular hexagon and an equilateral triangle are equal in area. The perimeter of the triangle is 36.
Question: How long is one side of the hexagon?
c. The base of a certain triangle is increased by 20% and the altitude to that base is decreased by 40%.
Question: By what percent is that area changed? Is It Increased or Decreased?
Evaluate the equations of the tangent lines to the graphs of f and g at the critical number found. Graph the tangent lines. What is the relationship between the lines?
Compute the mean and standard deviation of the information
The median age at first marriage for females increased from 24.5 years in 1995 to 25.1 years in 2000 (U.S. Census Bureau, www.census.gov). Let 1995 be year 5 and 2000 be year 10.
Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a, b, and c.
Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function.
If the solution to an equation is imaginary or irrational, it takes a bit more effort to check. Replace x by each given number to verify the following statement.
Compute the probability based on the distribution.
Let |G| be finite and N be a normal subgroup of G. If xN is an element of G/N and has order a power of p, show that there exists a y element of G such that |y| is a power of p and yN=xN.
Find the probability
Use partial decomposition to integrate. (2x^2-x-20)/(x^2+x-6 ). (sint)(4cos^2t-1)/(cost)(1+2cos^2t+cos^4t)
Rule of Probability, A study of 203 advertising firms revealed their income after taxes: What is the probability an advertising firm selected at random has under $1 million in income after taxes? (Round your answer to 2 decimal places.)
Plot a histogram of the variable age. Include an appropriate title to your histogram. Explain the plot.
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