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The area of a certain rectangle is 288 yd2. The perimeter is 68 yd. If you double the length and width what will be the area and perimeter of the new rectangle.
We may think that this is similar to a Fresnel Integral (sin(x^2)). In that case, we would set z=e^(iz)^2, and then integrate over the special contour with regions I: 0 to R, II:
Suppose that you select 2 cards without replacement from an ordinary deck of playing cards. If the first card that you select is a king, what is the probability that the second card that you select is a heart?
Provide an appropriate response. Histograms and Pareto charts are both bar charts. What is the significant difference between the two?
If an open box has a square base and a volume of 97 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction. (Round your answers to two decimal places.)
Sears Tower is 1353 ft tall, as you walk 210 ft from building, look back at the top, what is the angle of elevation?
If the teachers receive an average salary increase of $1096, write out the first 6 terms of the sequence formed by the average salaries starting with the 1999-2000 school year. Explain how you got your answer.
An oil storage tank is in the shape of a cylinder, is 5 m high and has a diameter of 8 m. The oil tank is three-fourths full. Find the number of cubic meters of oil in the tank. Round to the nearest hundredth. Use 3.14 for pi.
Find the elasticity of demand E for the demand function q = 40,000 - 10p2.
Find the average value of the function f(x) = cos^3x on the interval 0
Kate and John buy a block of land for $140,000 by paying $10,000 deposit and then taking out a loan for the remainder. The loan will be repaid with quarterly instalments over 15 years with interest at j4 = 7.7%.
Your weekly paycheck is 20 percent less than your coworker's. Your two paychecks total 885. Find the amount of each paycheck.
Graph each absolute value function and state its domain and range.
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