Angela and Ben want to divide fairly the chocolate-strawberry cake shown below. The total cost of the cake was $6.00. Angela values strawberry three times as much as she values chocolate, while Ben values chocolate twice as much as he values strawberry.
Which of the following is a fair division of the cake?
A. Angela gets the piece shown below, Ben gets the remaining piece.
B. Angela gets the chocolate half, Ben gets the strawberry half.
C. Angela gets the strawberry half, Ben gets the chocolate half.
D. Angela gets the piece shown below, Ben gets the remaining piece.
E. none of these
Answer: C
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A. -14m - 5 B. -6m - 5 C. -22m - 7 D. -14m + 7
Let
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Use a Riemann sum with four subintervals of equal length () to approximate the area of R (under the graph of f on the interval [0, 2]). Choose the representative points to be the left end points of the subintervals.
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Repeat previous part with eight subintervals of equal length (
).
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Compare the approximations obtained in previous parts with the exact area (14 sq units). Do the approximations improve with larger n?
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A. 12.25 sq units; 10.5 sq units; no
B. 10.5 sq units; 12.25 sq units; no
C. 10.5 sq units; 12.25 sq units; yes
D. 12.25 sq units; 10.5 sq units; yes
Solve. Write a mixed numeral for the answer.Daniel is 70 in. tall and his brother Tyler is 67
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A. 2 in.
B. 3 in.
C. 3 in.
D. 2 in.
Express as a single logarithm and, if possible, simplify.ln (x2 - 36) - ln (x + 6)
A. ln (x + 6) B. ln (x2 - 6) C. ln (x - 6) D. ln (x - 36)