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A motorboat travels 448km in 7 hours going upstream. It travels 630km going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
Explain why vectors QR and RQ are not equivalent. Explain when the elimination method for solving a system of equations is preferable to the substitution method. Give examples.
Thor has dropped his hammer, Mjolnir, into a 1ft x 1ft x 3ft container full of distilled water. If Mjonir has a uniform density of 7.8 g/cm3 and the water level was 1.5 inches lower after Thor summoned Mjolnir back to him.
What is the probability that 154 or fewer college students in the sample send and receive text messages with their cell phones? Is this result unusual?
Determine the number X for the given table and evaluate the number x so that the preceding independence relations hold.
Let (S,d) be a metric space and define the function u(x,y) = d(x,y)/(1+d(x,y)) for all x,y
Let R be a commutative ring with 1. Prove that if (a,b)=1 and a divides bc, then a divides c. More generally, show that if a divides bc with nonzero a,b then a/(a,b) divides c.
write a correct statement using two of the numbers 0, 0.26, and 4/15 and one of the symbols , or =.
A student claims that anything that can be accomplished by a translation can be accomplished by a reflection. She claims that if A' is the image of A under a translation, then A' can be obtained by a reflection in the line(which is the perpendicul..
Solve each of the following equations for the unknown variable.
Find the center of mass of the lamina that has the given shape and density. Be sure to enter the ordered pair as (xcm,ycm) where both points are rounded to the tenths place and the parentheses included.
Evaluate the double integral over sigma of (F*n dS) in the following cases, Use Gauss' Theorem and/or symmetry whenever convenient.
What is the probability that a freshman selected at random from this group is enrolled in each of the following? (Enter your answers to three decimal places.)
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