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Problems on Ages.
The difference between two friend's ages is 37 years. The sum of their ages is 55 years. Find the age of the older friend.
Finding the measure of an angle with the given two sides.
In a triangle ABC, angle C is a right angle. Find the measure of angle B if side b = 105m and side c = 130m
John has 11 more chocolate bars than Rick. Cathy has 8 times as many chocolate bars as John. If Rick has r chocolate bars, which expression below represents how many chocolate bars Cathy has, c?
A bike wheel has a diameter of 85cm. In one day the bike wheel does 380 revolutions. How far has the bike cycled. Give your answer to the nearest metre.
Use the limit comparison test to determine if this series converges or diverges.
Verify that the sine curve has equation y=sin(πx/7) and find the width w of a flat metal sheet that is needed to make a 28 in panel.
Two boxes of brazils are mathematically similar, their lengths are 12cm and 24cm. The surface area and volume of the smaller box are 250cm2 and 240cm2 respectively.
How much of each must be used to prepare 50 milliliters of solution with a drug concentration of 1 mg/mL?
Suppose that g: Y-->R is a function which is differentiable at y_0. Then the function g o f: X-->R is differentiable at x_0, and (g o f)' (x_0) = g'(y_0)f '(x_0)
You have scores of 99, 93 and 90 on the first 3 tests. You must make a total of 360 in order to get an A. What scores on the last test will give you an A?
The monthly charge for a waste collection service is 660 dollars for 100 kg of waste and 1050 dollars for 165 kg of waste.
How many solution sets do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? In what case might they not?
Let X be a set and a binary relation on X .
Determine if the function f(x) = 3x + x^2/3 (2 - x)^1/3 satisfies the hypotheses of the MVT on the interval [0, 2]. If it does, find all possible values of c that satisfy the conclusion of the MVT. (MVT is Mean value theorem)
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