You must divide 120 by 600 in order to get your answer. As it says 120 margirine to make 15 flapjacks which is equal to one batch, you must then divide 600 by 120 and then multiply 5 by 15 to get 75. I hope this helped.

(brainliest?)

4 0

3 years ago

The rate at which rain accumulates in a bucket is modeled by the function r given by r(t)=10t−t^2, where r(t) is measured in mil

mars1129 [50]

Answer:

36 milliliters of rain.

Step-by-step explanation:

The rate at which rain accumluated in a bucket is given by the function:

$r(t)=10t-t^2$

Where r(t) is measured in milliliters per minute.

We want to find the total accumulation of rain from t = 0 to t = 3.

We can use the Net Change Theorem. So, we will integrate function r from t = 0 to t = 3:

$\displaystyle \int_0^3r(t)\, dt$

Substitute:

$=\displaystyle \int_0^3 10t-t^2\, dt$

Integrate:

$\displaystyle =5t^2-\frac{1}{3}t^3\Big|_0^3$

Evaluate:

$\displaystyle =(5(3)^2-\frac{1}{3}(3)^3)-(5(0)^2-\frac{1}{3}(0)^3)=36\text{ milliliters}$

36 milliliters of rain accumulated in the bucket from time t = 0 to t = 3.

4 0

3 years ago