Solve the problem.A large boulder is placed in a river to help divert the water. Suppose the rate at which the boulder erodes is proportional to the product of its current size and the difference between its original size, B, and 10 times its current size. Give a differential equation that is satisfied by f(t), the height at time t.
A. y' = kBy(-10y)
B. y' = ky(10y - B)
C. y' = ky(B - 10y)
D. y' = 10ky(B - y)
Answer: C
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Perform the indicated operations and simplify the result. Leave the answer in factored form.
? 
A. 
B. - 
C. - 
D. - 
Provide an appropriate response.Give the signs of the three trigonometric functions of the vector with the endpoint (2, 8).
A. sine, negative; cosine, negative; tangent, negative B. sine, negative; cosine, positive; tangent, positive C. sine, positive; cosine, positive; tangent, positive D. sine, positive; cosine, negative; tangent, positive
Solve the problem.Anne and Nancy use a metal alloy that is 17.4% copper to make jewelry. How many ounces of an alloy that is 13% copper must be mixed with an alloy that is 24% copper to form 85 ounces of the desired alloy?
A. 51 oz B. 34 oz C. 39 oz D. 53 oz
Use the ac method to factor the trinomial, or state that the trinomial is prime.7x2 + 47x - 30
A. (7x + 5)(x - 6) B. (7x - 6)(x + 5) C. prime D. (7x - 5)(x + 6)