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Billy goes cycling. His bike has wheels of diameter 70 cm. He has invented a counter for his bike, which counts the number of revolutions the wheels make. One day the counter shows 280 revolutions. How far has billy cycled? Show your answer to the nearest metre.
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)
The sides of a triangle are in the ratio of 3:4:5. If the perimeter is 90 centimeters, find the length of each side. Use the Pythagorean Theorem to find the length of the missing side in right triangle. Triangle ABC with right triangle C.
The actual demand of a product in period 1 through 3 are 285, 229, 309 units, respectively. Find the forecast of demand in period 4 using the exponential smoothing model with a smoothing constant of 0.41. The forecast demand for period 1 was 302 u..
A dog with a leash 5m in length is tied to the outside of a silo with a radius of 20m. What is the approx area the dog has to freely move about?
The subgroup-intermediate subfield given in the fundamental theorem of Galois Theory,
At a certain factory, approximately q(t) = t^2 + 50t units are manufactured during the first t hours of a production run, and the total cost of manufacturing q units is C(q) = 0.1q^2 + 10q + 400 dollars.
The yearly production of a 6 foot is 22 pounds of oranges. A 16 foot tree produces 86 pounds.
Matrix Representation of a Linear Transformation, For the problem, refer to the linear transformation T
Marcos drove twice as far as Candice. Together, they drove 66 miles. Which equation can be used to find the number of miles Candice drove?
To two decimal places, what is the value of the positive root in the auxiliary equation?
If the tree was 7 feet tall when it was planted, how tall will it be in 27 years? Round your answer to two decimal places.
Find the inverse of the matrix, if it exists. Verify your answer. (If an answer does not exist, enter DNE.)
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