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1) What is the largest possible area for a right triangle in which the sum of the lengths of the two shorter sides is 100 in.?
2) A baseball is thrown straight up, and its height as a function of time is given by the formula h = -16t2+ 32t (where h is in feet and r is in seconds).
(a) Find the height of the ball when t = 1 sec and when t = 3/2 sec.
(b) Find the maximum height of the ball and the time at which that height is attained.
(c) At what times is the height 7 ft?
3) Which point on the curve y = √(x -2) + 1 is closest to the point (4, 1)? What is this minimum distance?
4) Suppose that you have 1800 m of fencing with which to build three adjacent rectangular corals, as shown in the figure. Find the dimensions so that the total enclosed area is as large as possible.
Attachment:- figure.png
You are planning to spend no less than $6000 and no more than 10,000 on your landscaping project. Write an inequality that demonstrates how much money you are willing to spend on the project?
A grade has 81 girls and 72 boys. The grade split into groups that have the same ratio of girls to boys as the whole grade. How many girls are in a group that has 16 boys
Assuming this growth trend continues, what will the price of gasoline be in the year 2018? How did you arrive at your answer?
There were 626 hamburgers and cheeseburgers sold. There were 74 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold?
The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than 200 units of component3 can be sold, but up to 1000 units of each of the other components can be sold.
Quality Control: Copykwik has 4 copiers A,B,C, and D. The probability that a given machine will break down on a particular day is A=1/50, B=1/60, C=1/75, D=1/40.
the internet has significantly changed the way that organizations conduct their business operations in breaking down
if the worker in a factory is paid rs 2 per hour for normal work and doubles the rate for over time work. write down
Determine the local max, local min, absolute max and absolute min for the following equations: f(x) = -3x4 - 8x3 + 11x2 + 26x
two cranes are lifting an object that weighs 20,240 pounds. One cable is at a 44.5 degrees from the horizontal and the other is 24.3 degrees on the opposite side from the horizontal. Find the tension of each cable of the cranes.
Which two variables have the strongest strength of relationship?
Write the appropriate letter in the blank next to the Venn diagram. If the Venn diagram shading is not defined by any expressions, type the letter N into the blank. Letters may be used more than once.
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