Solve the problem.From a thin piece of cardboard 10 in. by 10 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary.
A. 6.7 in. × 6.7 in. × 3.3 in.; 148.1 in3
B. 5 in. × 5 in. × 2.5 in.; 62.5 in3
C. 3.3 in. × 3.3 in. × 3.3 in.; 37 in3
D. 6.7 in. × 6.7 in. × 1.7 in.; 74.1 in3
Answer: D
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A. 75% B. 0.75% C. 0.0075% D. 750%
Describe the solution set as an inequality and in interval notation. |5x + 4| - 7 < -9
A. x < - or x > -
;
?
B. - < x < -
;
C. empty set
D. the set of real numbers; (-?, ?)
Solve for the requested variable.y varies directly as z, and y = 208 when z = 13. Find y when z is 19.
A. y = 169 B. y = 304 C. y = 361 D. y = 256
Tell whether a linear model or a quadratic model is appropriate for the data. If linear, tell whether the slope should be positive or negative. If quadratic, decide whether the leading coefficient a of x2 should be positive or negative.The amount of water in a pool as it is being filled, as a function of time.
A. linear; negative B. quadratic; positive C. linear; positive D. quadratic; negative