Understand and Use Rational Exponents
-The algebraic expression $$0.07 \mathrm {~d} ^ { 3 / 2 }$$ describes the duration of a storm, in hours, whose diameter is d miles. Use a calculator to determine the duration of a storm with a diameter of 5 miles. Round to the nearest hundredth.
A) $0.78$ hours
B) $0.16$ hours
C) $11.18$ hours
D) $0.21$ hours 0.4 Polynomials

Question

Understand and Use Rational Exponents
-The algebraic expression $$0.07 \mathrm {~d} ^ { 3 / 2 }$$ describes the duration of a storm, in hours, whose diameter is d miles. Use a calculator to determine the duration of a storm with a diameter of 5 miles. Round to the nearest hundredth. 
A) $0.78$ hours
B) $0.16$ hours
C) $11.18$ hours
D) $0.21$ hours 0.4 Polynomials

Quizplus · Accepted Answer

To find the duration of a storm with a diameter of 5 miles, substitute $d = 5$ into the expression $0.07d^{3/2}$ and calculate: $0.07 \times 5^{3/2} = 0.07 \times 11.180339887 = 0.782$ hours. Rounded to the nearest hundredth, this is $0.78$ hours.

Understand and Use Rational Exponents -The Algebraic Expression 0.07 d3/20.07 \mathrm {~d} ^ { 3 / 2 }0.07 d3/2

Understand and Use Rational Exponents
-The Algebraic Expression $0.07 \mathrm {~d} ^ { 3 / 2 }$