Answer:
8π(2.5)^2
Step-by-step explanation:
volume = π * r^2 * h
v = π * (2.5)^2 * 8
Answer:
160 mL of fruit juice and 400 mL of sparkling water
Step-by-step explanation:
According to the statement we have that the ratio between fruit juice and sparkling water is 2/5.
Therefore, we could also say that:
200/500
with it could be done with 200 mL of fruit juice and 500 mL of sparkling water, so for 400 mL, how much would it be:
400 * 200/500 = 160
Therefore, the largest amount of the drink can be made with 160 mL of fruit juice and 400 mL of sparkling water.
Answer:

Step-by-step explanation:

You can get the gradient of the line perpendicular to this as you know the products of their gradients will be -1.

We have a gradient, and a point (6, 1), so we can now substitute our known values into the line equation.


Rearrange for y and collect terms.

Answer:
(-20x -40)
Step-by-step explanation:
Our polynomial is

We can tell from -28 that the binomials are one positive and one negative.
We can use a factoring chart. What adds to make +3x and multiplies to make -28.

To get a negative 28, we can multiply -4 and positive seven, which add together after being multiplied by x to get +3x. Therefore, you are left with (x+7) and (x-4).