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An elementary school teacher is attempting to line up 6 boys in size places. She success in placing the shortest boy first and the tallest boy last, but all the others are randomly arranged. How many possible arrangements of these boys are possible?
An iron cube of side 6cm is melted and recast into a cuboid which has a square base of side 4cm as shown below. What is the height of the cuboid?
the length of a rectangle is 4 less than twice the width. The are of the rectangle is 70. Find the dimensions of the rectangle.
Tom, Dick, and Harry have an average (arithmetic mean) of 120 baseball cards. Tom has 1½ as many cards as Dick, and Harry has ½ as many as Dick. How many baseball cards does Tom have?
translate the phrase to an algebraic expression Justin had $41 before spending n dollars on jeans. How much money remains?
State the null and alternative hypotheses
Assume that the drawer contains 11 coins: 4 quarters, 2 dimes, and 5 nickels. One coin is randomly selected. What is the expected value of the coin selected (in cents)?
the formulab=32a is used New England, to estimate the minimum furnace output,b, in BTU's for a modern house with a square feet of flooring. Determine the minimum furnace output for a 2100ft 2 modern house.
Determine the revised profit function Q(x).
The Pythagorean Theorem for right triangles states that if a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then a2 + b2 = c2.
A cup of coffee at 181 degrees is poured into a mug and left in a room at 66 degrees. After 6 minutes, the coffee is 139 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-66).
Without graphing, can you use the slope to determine whether there is a solution for a system of two linear equations in two unknowns? How?
Which method do you prefer when solving a system of equations? Why? What circumstances would cause you to use a different method?
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