Provide an appropriate response.In a raffle 1000 tickets are being sold at $1.00 each. The first prize is $100, and there are 3 second prizes fo $50 each. By how much does the price of a ticket exceed its expected value?
A. $1.00
B. $0.75
C. $1.75
D. $50
Answer: B
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Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.An ellipse with a vertex at (0, 7) and a focus at (0, -3).
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Find the indicated term using the given information.a = -3, d = - 
; a13
A. - 35
B. 
C. - 
D. 29
Solve the problem.A rare species of insect was discovered in the rain forest of Costa Rica. Environmentalists transplant the insect into a protected area. The population of the insect t months after being transplanted is P(t) = 
.a) What was the population when t = 0?b) What will the population be after 10 years?c) What is the largest value the population could reach?
What will be an ideal response?
Find the Taylor series for the given function. Give the interval of convergence.f(x) = ln(1 + 2x)
A. 2x - 
x2 + 
x3 - 
x4 + . . . + 
xn+1 + . . . ; 
, 
B. 2x - 
x2 + 
x3 - 
x4 + . . . + 
xn+1 + . . . ; 
, 
C. 2x - 
x2 + 
x3 - 
x4 + . . . + 
xn+1 + . . . ; (-2, 2)
D. -2x - 
x2 + 
x3 - 
x4 + . . . + 
xn + . . . ; (-2, 2)