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A 12 foot ladder is leaning against a vertical wall when Sarah begins pulling the foot of the ladder away from the wall at the rate of 0.3 ft/s. How far is the foot of the ladder away from the wall when the vertical rate of change of the top is the same (numerical amount) as the horizontal rate of change of the bottom of the ladder?
Probability - birthday, What is the probability that at least 2 of the 435 members of the House of Representatives have the same birthday
suppose a manufacturing company makes a certain item. the time to produce each item is normally distributed around a
Probability of drawing the following card. One card is drawn from an ordinary deck of 52 cards. Find the probability of drawing the following card
Show that if A is the standard matrix for T , then A = B.
How are the vertex and axis of symmetry related on a parabola? Please explain with the help of an example.
brooklyn corps manufactures cds. the machine that is used to make these cds is known to produce 6 defective cds. the
A package can have a maximum combined length and girth of 108 inches. Find the dimensions of the package of maximum volume that can be sent. (assume that the cross section is a square)
1. Consider R3with two orthonormal bases: the canonical basis e=(e1,e2,e3) and the basis f=(f1,f2,f3), where f1=(1,1,1)/(3^(1/2)) ,f2=(1,-2,1)/(6^(1/2)) ,f3=(1,0,-1)/(2^(1/2))
Show that if R is a ring with identity element and x is an element in R, then Rx = {rx: r in R} is the principal left ideal generated by x. Similarly,
james buys a share at $53.41 on Monday, which gaines $1.35 on tuesday, loese $2.10 on Wednesday, and gains $4.65 on Thursday. What is James man daily profit or loss?
88 feet of fencing to enclose a rectangular plot if you do not fence the side along the river. find the length that will maximize the area.
the length of a rectangle is two yards longer than triple the width the perimeter is 484 yards. what are the dimensions?
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