Pumping stations deliver oil at the rate modeled by the function d, given by d of t equals the quotient of 5 times t and the quantity 1 plus 3 times t with t measure in hours and and d(t) measured in gallons per hour. how much oil will the pumping stations deliver during the 4-hour period from t = 0 to t = 4? give 3 decimal places.

The answer is:  There is a total of 5.797 gallons pumped during the given period.

To solve this equation, we need to integrate the function at the given period (from t=0 to t=4)

The given function is:

So, the integral will be:

So, integrating we have:

Performing a change of variable, we have:

Then, substituting, we have:

Reverting the change of variable, we have:

Then, evaluating we have:

So, there is a total of 5.797 gallons pumped during the given period.

Have a nice day!

here is your mark brainliest

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.