Simplify using the quotient rule. - 
A. - 
B. not a real number
C. - 
D. - 
Answer: C
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The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 1 for r(t) = t5i + 2ln
j + 
k
A. a(1) = 20i + 
j - 10k
B. a(1) = 20i + 
j + 10k
C. a(1) = 20i - 2j - 10k
D. a(1) = 20i + 2j + 10k
Solve the problem.Paul has $25,000 to invest. He puts x dollars in a safe government-insured certificate of deposit paying 4% per year. He invests the remainder of the money in noninsured corporate bonds paying 12% per year. His total interest earned at the end of the year is given by the algebraic expression 
. Simplify this expression.
A. 3000 + 0.16x B. 3000 - 0.96x C. 3000 + 0.08x D. 3000 - 0.08x
Factor the trinomial completely. If the polynomial cannot be factored, write "prime."4r6 - 12r5 - 40r4
A. 4r4(r + 2)(r - 5) B. (4r3 + 20)(r - 2) C. 4r4(r - 2)(r + 5) D. (4r3 + 8)(r - 5)
Write a proportion that models the situation described. Then, solve the proportion for x.If at a given speed a car can travel 142.8 miles on 6 gallons of gasoline, then the car can travel x miles on 102 gallons of gasoline at that speed.
A. 
= 
; x = 2435 miles
B. 
= 
; x = 2435 miles
C. 
= 
; x = 2427.6 miles
D. 
= 
; x = 2427.6 miles