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The cost of renting a truck is $230 per week plus a charge of $0.50 per mile driven. Write a linear equation that relates the cost C for a weekly rental in which the truck is driven x miles.
Sheila has 25/72 ounces of gold. Bill has 7/30 ounces of gold. How much must Kelly have so that they have a combined 1 full ounce of gold?
Suppose that f_n(0) converges to some number, denoted f(0), and also suppose that the sequence (f'_n) converges uniformly on (0,1) to some function g: (0,1) -> R. Prove that the sequence (f_n) converges uniformly. What is its limit?
A chemist has two alloys, one of which is 5% gold and 20% lead and the other which is 30% gold and 40% lead. How many grams of each of the two alloys should be used to make an alloy that contains 34 g of gold and 104 g of lead?
Find the equation of the tangent plane to the central conicoid x2 - 4y2 + 3z2 + 2 = 0 at the point (1,2,0). Find whether the plane 2x + 3y + 2z =3 touches the central conicoid 2x2 + 3y2 + z2 = 1 or not.
A company claims that its battery has a mean life of 65 months. A consumer protection agency tested 15 batteries and found the mean 63 months with a standard deviation of 2 months. The life such a battery has approximately normal distribution. Ass..
A true-false examination has 48 questions. June has probability 3/4 of answering a question correctly. April just guesses on each question. A passing score is 30 or more correct answers. Compare the probability that June passes the exam with the p..
Let f(x,y) = 1 - x2 - 2y2 and let S be the surface z = f(x,y). Parametrize the path of steepest ascent up S starting from the point (2, 1, -5). What point does the path approach?
Explain how complex numbers combine under the following operations
When are the Poisson and negative exponential distributions used and What are the advantages and limitations of simulation models?
Solve the equation on the interval.
a chef wants to make 1 gallon (128ounces) of 80% vinegar to oil salad dressing. he only has pure vinegar and a mild 4% vinegar to oil salad dressing on hand. how many ounces of each should he mix to make the desired dressing?
Suppose that you randomly draw 18 cards from a standard deck of 52 cards. what is the probability of drawing at least 6 hearts?
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