Some furniture will be divided among three people. The bids for each of the items are given in the table. Find a fair division of the items and determine the values of additional payments.
a. Lina pays $70 into a joint account; Victor pays $10 into a joint account; Barbara gets $80 from a joint account.
b. Lina gets $70 from a joint account; Victor gets $10 from a joint account; Barbara pays $80 into a joint account.
c. Lina pays $80 into a joint account; Victor pays $10 into a joint account; Barbara gets $70 from a joint account.
d. All values of additional payments are incorrect.
a. Lina pays $70 into a joint account; Victor pays $10 into a joint account; Barbara gets $80 from a joint account.
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Solve the application and answer with a complete sentence.In a right triangle, the measure of the middle angle is 28° more than the measure of the smallest angle. What is the measure of the smallest angle?
A. The measure of the smallest angle is 62°. B. The measure of the smallest angle is 76°. C. The measure of the smallest angle is 31°. D. The measure of the smallest angle is 17°.
Let p, q, r, and s represent the following statements: p: One plays hard. q: One is a guitar player. r: The commute to work is not long. s: It is not true that the car is working.Express the following statement symbolically.The car is working.
A. r B. s C. ~r D. ~s
Determine the indefinite integral.
A. sech x tanh x + C
B. tanh2 x + C
C. 
+ C
D. sech2 x + C
Find the center, foci, and vertices of the ellipse.
+ 
= 1
A. center at (-2, 1)
foci at (- 3
, 1), (3
, 1)
vertices at (6, 1), (-6, 1)
B. center at (1, -2)
foci at (1 + 3
, -2), (1 - 3
, -2)
vertices at (-8, 1), (4, 1)
C. center at (-2, 1)
foci at (-2 + 3
, 1), (-2 - 3
, 1)
vertices at (-8, 1), (4, 1)
D. center at (-2, 1)
foci at (-2 + 3
, -2), (-2 - 3
, -2)
vertices at (6, 1), (-6, 1)