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A tank in the shape of an inverted right circular cone has height 9 meters and radius 13 meters. It is filled with 6 meters of hot chocolate.
Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. Note: the density of hot chocolate is delta = 1470 kg/m^3.
The greenhouse I a building for my wife is 6 feet longer than it is wide. Write an algebraic expression for the perimeter if the length is expressed as x. If x equals 20, what id the perimeter?
What is the equation of the vertical line through P? What is the equation of the horizontal line through P?
What is the difference between a scatter plot and a line graph? Provide an example of each. Does one seem better than the other? In what ways is it better?
Explain the main differences among integers, rational numbers, real numbers, and irrational numbers. How are these used in everyday life? How would you explain the use of each to someone who did not know about the differences?
The prong of a tuning fork moves back and forth when it is set into vibration. The distance the prong moves between its extreme positions is 2.22 mm.
A small gift shop is trying to determine the number of gift items it can sell to maintain a monthly revenue greater than $10,000. The revenue function for this business is R = -0.10N2 +70N, where R=monthly revenue and N=number of gift items sold p..
How do you write a system of linear equations in two variables? ??Explain this in words and by using mathematical notation in an equation.
Consider the following elements of the vector space P3 of all polynomials of degree less than or equal to 3. p(x)= x-1, q(x)=x+x2, r(x)= 1+x2-x3
Find the absolute change and the percentage change in the following case. The population of a country increased from 99 million in 1990 to 259 million in 2010.
We flip a fair coin and then draw a ball from the first or second urn depending upon whether the outcome was heads or tails respectively. What is the probability that the outcome of the coin toss was heads, given that a white ball was selected.
If you have 80 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
Determine the nature of the solutions of the equation. x^2-10=0. Choose the correct nature of the solutions of the equation. Is it a) 1 real solution; b) 2 imaginary solutions; or c) 2 real solutions.
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