The algebraic expression 0.07d^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 7 miles. round to the nearest hundredth me with step by step

  1.30 hours

Step-by-step explanation:

Put the given number in the formula and do the arithmetic. The value of "d" is given as 7, so you are evaluating the expression ...

  duration = 0.07×7^(3/2) . . . . put 7 where "d" is in the expression

  = 0.07×18.520 . . . . . . . . . . . . evaluate 7^(3/2)

  = 1.2964 . . . . . . . . . . . . . . . . . do the multiplication

  ≈ 1.30 . . . . rounded to hundredth

The duration of a storm 7 miles in diameter is predicted to be 1.30 hours.

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With a suitable calculator, this can all be done at once.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b