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Consider the points below.P(1, 0,1), Q(-2, 1,3), R(3, 2,5)
(a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R.
(b) Find the area of the trianglePQR.
The probability P, If the random variable z is the standard normal score, is it true that P(-1
(a) How fast is the top of the ladder sliding down the wall? (b) At what rate is the area of the triangle formed by the ladder, wall, and the ground changing? (c) At what rate is the angle ! between the ladder and the ground changing?
find the length of the circumference of wheel
Oliver has a cardboard box that has a volume of 27 cubic feet. The width is equal to 3 feet and the length is equal to 3 feet. What is the height of the box?
The Probability of a Random Number. A number n is chosen at random from the set {1, 2, ..., 20}. We are interested in k, the integer power of 2 which exactly divides n. Recall that we say that 2k exactly divides n if 2^k|n but 2^(k+1) |/ n. We wri..
Calculate and interpret the coefficient of determination
In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?
Formulate an optimization problem that will determine how much labor and capital are needed in order to produce 50,000 tons of steel at minimum cost
a triangle drawn on a map has sides of lengths 8 cm, 11 cm, and 14 cm. The shortest of the corresponding real-life distances is 105 km. Find the longest of the real-life distances.
suppose turtle runs at 55 ft/s. rabbit runs at 80 ft/s, but gives Turtle a 5-second head start. How many seconds will turtle have run when rabbit catches up with him
Why do we regulate the securities markets? What are the benefits of regulation?
Suppose an object is dropped from a height feet above the ground. Then its height, in feet, after seconds is given by . If a ball is dropped from 208 feet above the ground, how long does it take to reach ground level?
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