Solve the problem.The radiator in a certain make of car needs to contain
of 40% antifreeze. The radiator now contains
of 20% antifreeze. How many liters of this solution must be drained and replaced with 100% antifreeze to get the desired strength?
A. 20.0 L
B. 15.0 L
C. 24 L
D. 30 L
Answer: B
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Rewrite each number using scientific notation before performing the operation. Leave your answer in scientific notation form.3 × 10-35 + 5 × 10-34
A. 5.3 × 10-33 B. 8.0 × 10-34 C. 5.3 × 10-34 D. 5.3 × 10-35
Solve the inequality symbolically. Express the solution set in interval notation.-1 ? 9 - 6x ? 17
A. [- ,
]
B. (- ,
)
C. (, -
)
D. [, -
]
An open rectangular box having a volume of 4in3 is to be constructed from a tin sheet. Find the dimensions of such a box if the amount of material used in its construction is to be minimal.
?
Hint: Let the dimensions of the box be x by y by z. Then, xyz = 108 and the amount of material used is given by S = xy + 2yz + 2xz. Show that
?
?
Minimize f(x, y)
?
A. x = 1; y = 1; z = 2 B. x = 2; y = 2; z = 1 C. x = 2; y = 1; z = 1 D. x = 2; y = 1; z = 2
Determine where the given function is increasing and where it is decreasing. s(x) = -x2 - 20x - 84
A. Decreasing on (-?, -10), increasing on (-10, ?) B. Increasing on (-?, ?) C. Decreasing on (-?, -10) and (0, ?), increasing on (-10, 0) D. Increasing on (-?, -10), decreasing on (-10, ?)