Marks age is, t, is 3 times his age 10 years ago. Write an equation to represent the statement.

Mathematics

2 answers:

Ne4ueva [31]3 years ago

6 0

t = 3(t - 10) is the required equation

Mariana [72]3 years ago

6 0

To find the equation:

Marks age 10 years ago would be: t-10

As his age is 3 times his age 10 years ago,his age is:
t=(t-10)×3
t=3(t-10)

Therefore the equation is t=3(t-10).

Hope it helps!

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A vertical right circular cylindrical tank has height h=8 feet high and diameter d=6 feet. It is full of kerosene weighing 50 po

Mariana [72]

Answer:

The work done to pump all of the kerosene from the tank to an outlet is $W=45238.9\: J$

Step-by-step explanation:

The work is defined by:

$W=\int dFdx$ (1)

The force here will be the product between the volume and the kerosene weighing, so we have :

$dF=\pi R^{2}dy*50$

This force will be in-lbs.

Where R is the radius (3 feet)

Then using (1), we have:

$W=\int \pi R^{2}dy*50(8-y)$

Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.

$W=\int_{0}^{8} \pi 3^{2}dy*50(8-y)$