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A stellar companion of Sirius has a temperature of about 27,000 Kelvin and a luminosity about 1/100 of that of the Sun. What is its radius compared to the Sun's? What is its radius compared to the Earth's?
There are 560 third- and fourth-grade students in King Elementary School. If there are 80 more third- graders than fourth-graders, how many third- graders are there in the school?
The following data represent the length (in months) of time it takes for a tumor to reoccur after chemotherapy. Use five classes to determine the class width.
Similarly, one additional unit will be occupied for each 10 dollar decrease in rent. What rent should the manager charge to maximize revenue?
if the first and the third consecutive odd integers are added,the result is 87 less than five times the second integer. find the third integer.
Given the curve y = the square root of 16-x^2, -2≤x≤2. Find the volume of the solid generated when y is revolved about the x axis.
Use the marginal cost and marginal revenue at a production of q = 5000 to determine whether production should be increased or decreased from 5000.
Assuming that 15% of the population is left-handed, find the probability of surveying n students and getting exactly x "lefties" (Use the numeric values for n and x from our class data.)
A fish tank is 2 feet long and 1 foot wide, and the depth of the water is 1 foot. What is the force on the bottom of the fish tank?
Find the quotient. Be sure to use the long division method, do not use the factoring method. Show Work. (the 3 is up and to the right of the x) x3 + 512 ___________ = x + 8
During the worst periods of hyperinflation in a certain country the price of food increased at a rate of 25% per month. State whether this increase was linear or exponential
Show that radG ≤ diamG ≤ 2radG for every graph G.Prove the weakening of Theorem 1.3.4 obtained by replacing average with minimum degree. Deduce that | G | ≥ n0(d/2, g) for every graph G as given in the theorem.
Find the dimensions that minimize the total cost. You'll probably have to poke around a bit to find the formula for the surface area of a cone. Sketch a graph of the objective function, and check your calculus answer by locating the minimum on you..
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