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A stone is thrown into a pond. A circular ripple is spreading over the pond in such a way that the radius is increasing at the rate of 6.4 feet per second. Find a function, r(t), for the radius in terms of t. Find a function, A(r), for the area of the ripple in terms of r. Find (A*r)(t)
A triangle drawn on a map has sides of lengths 7.0 cm, 10 cm, and 14 cm. The shortest of the corresponding real-life distances is 124 km. Find the longest of the real-life distances. Round to the nearest unit
Find the exact value of the following by using a sum or difference identity.
A poster is to have a total area of 584 square inches with 4-inch margins at the bottom and top and a 3-inch margin at each side. What dimensions of a poster will give the largest printed area?
If Barbara earns a salary of $15,860 a year and is paid semimonthly, how much does she earn in a semimonthly pay period
Lena Dimock is saving for her college expenses. She sets aside $200 at the beginning of each three months in an account paying 8% annual interest, compounded quarterly. How much will Lena have accumulated in the account at the end of four years?
explain how to solve a quadratic equation using the quadratic formula. Demonstrate the process with your own example. Provide a problem for your classmates to solve.
2. Determine whether the given ordered pair is a solution of the system of equations. Remember to use alphabetically ordered variables. (6,-9) 2x=21-y 8x=84+4y Is the ordered pair a solution?
Set up a matrix B and a vector u such that Bu gives the amounts of calories, protein, fiber, and fat contained in a mixture of three servings of Shredded Wheat and two servings of Crispix.
How are equations and functions applicable to different real world situations? Post a real world problem that could be solved with a function or with an equation of a line
Olivia drove x km at 60km/h and then twice as far at 80km/h. In terms of x, how many hours did the trip take? Give the answer in simplest form.
Use the semi-direct product construction to construct a nonabelian group of order pq, where p, q are prime numbers with q = 1 mod p
Show that this new curve is again a Bézier curve.
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