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If 3 Senators are selected at random to head the committee, what is the probability that they will all be Republicans? What is the probability that they will all be Democrats? What is the probability that there will be 1 from each party, including the Independent?
The base of an aquarium with volume V = 250 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
Please show the how to solve the following. Please offer as much explanation as possible. Graph a function on the interval [-2,5] having the following characteristics:
A 8788 ft3 tank with a square base and open top is to be constructed of sheet steel of a given thickness. Find the dimensions of the tank with minimum weight.
Find the slope
The points (1,2) and (7,12) lie on a line. Find the coordinates of a third point on the line. how can you use the idea of slope.
To two decimal places, what is the value of the positive root in the auxiliary equation?
Eliminate the parameter to find a Cartesian equation of the curve. sketch the of the parametric equations. Indicate with an arrow the direction in which the curve is traced as t increases.
Note the terms: 0% interest for ? number of years, the instant dollar discount, the retail price of the vehicle, and the interest rate of the loan. Given those figures, which is the better deal and why? Support your answer with calculations.
Find the first five terms in the Taylor series about x = 0 for f(x). Find the interval of convergence for the series in part (a).
a ball is thrown vertically upward with an initial velocity of 53 feet per second. in the first 1.5 seconds, it travels 42 feet.
If the total interest from both the remaining savings account money and the stock amounted to $580 for a year, how much was originally in the savings account?
There are three methods to solving Linear Systems with two Equations. They are the Graph method, the Elimination method, and the Substitution method.
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