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3 years ago

Use substitution

gn="absmiddle" class="latex-formula"> to find all 4 roots of $z^{4} + z^{2} + 1$

Mathematics

1 answer:

Nutka1998 [239]3 years ago

6 0

Answer:

Step-by-step explanation:

Answered about

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Find the output , h , when the input , x , is -18 h= 17+x/6

pantera1 [17]

Once you plug in -18 as x you divide it with 6 and the answer of that is -3 then you add 17 and -3 and your output will be 14!

3 0

3 years ago

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.

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

$W=450\pi \int_{0}^{8}dy(8-y)$

$W=450\pi(\int_{0}^{8} 8dy-\int_{0}^{8} ydy)$

$W=450\pi(8y|_{0}^{8} -\frac{y^{2}}{2}|_{0}^{8})$

$W=450\pi(8*8 -\frac{8^{2}}{2})$

$W=450\pi(64 -\frac{64}{2})$

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

I hope it helps you!

6 0

3 years ago

Factorise fully 14x – 8

andriy [413]

Answer:

2(7x-4)

Step-by-step explanation:

3 0

3 years ago

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A toy is shaped as a triangular prism. The toy has a

Anettt [7]

Answer:

$\huge\boxed{\sf h = 6.75 \ in.}$

Step-by-step explanation:

Given Data:

Base area = $A_{B}$ = 108 in.²

Volume = V = 729 in.³

Required:

Height = h = ?

Formula:

$V=A_{B}h$

Solution:

For h, rearranging formula:

$\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}$

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2 years ago

PLEASE HELP QUICK I AM IN A RUSH

Alekssandra [29.7K]

C because it simplifies to 0=0 which proves that it has infinite solutions!

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3 years ago

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