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two rainstorms occured in one week in a certain area. In the first storm 30ml of rain fell per hour and in the second storm 15ml of rain fell per hour. Rain fell that week for a total of 45 hours for a total rainfall of 1125 ml. how long was each storm
5,500,000 gallons of ice cream are produced each day how many days it will take to produce 357,500,000 Define a variable for the value that is unknown.
A ship travels 50 km on a bearing of N27°E. It then makes a left turn of 90° and travels for 140 km. Find the bearing of the ship to the starting point. Round the answer to one decimal place.
A wrench 23cm long lies along the positive y axis and grips a bolt at the origin. A force is applied in the direction at the end of the wrench. Find the magnitude of the force needed to supply 117N-m of torque to the bolt.
Highway engineers design a parabolic curve for an entrance ramp from a straight street to an interstate highway . The vertex of the curve passes through (0, 0) and the parabola passes through (1000, + 800). Find an equation for the parabola.
Suppose that two of her friends (of the 14 of either gender) do not like each other. If one of the two is invited, the other will not come to the party. How many ways are there to invite 8 people to the party. Explain.
If $40 is charged for a set up fee, and the monthly hanger rental is $800; write an equation for the profit, P, in terms of x.
Luis rides his bike around Trail A once and Tara rides her bike around Trail B twice. Who rode the longest distance and by how much? Show all work for credit.
The concessions manager at our local college baseball game must decide whether to have the vendors sell sun visors or umbrellas. There is a 30% chance of rain, a 15% chance of overcast skies, and a 55% chance of sunshine, according to the weather ..
Let M be a two by two matrix for which each element is a real number, and let S be the set of all such matrices. Consider the mapping f of S to the real numbers R defined by the relation f(M) = determinant of M.
A copier that originally cost $300 was sold on the installment plan as $28 per month for 12 months. Find the installment price if no down payment was made. Find the finance charge.
Suppose S is a linear space defined below. Are the following mappings L linear transformations from S into itself? If answer is yes, find the matrix representations of formations (in standard basis):
Estimate the true proportion of all Americans who are in favor of gun control legislation using a 95% confidence interval. INTERPRET the answer.
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