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2 years ago

Find each percent change 40 to 2

Mathematics

1 answer:

Nostrana [21]2 years ago

3 0

The question we need to ask is what percent of 2 is 40?

40 is 20 times 2 so 20 would be 2,000%

We need to subract 100% from any percent change:

2,000% - 100% = 1,900%

ANSWER: 1,900%

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A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0

2 years ago

When x=3, the value of x^2-2 is?

Hitman42 [59]

Answer:

Step-by-step explanation:

First you would square 3 which is nine. Then subrtact 2. The final answer is 7 .

8 0

2 years ago

What is the equation, in standard form, of a circle with center (−5, −9) and radius 7?

dimulka [17.4K]

Answer:

Solution given:

Centre(h,k)=(-5,-9)

radius (r)=7

we have

Equation of a circle is;

(x-h)²+(y-k)²=r²

Substituting value;

(x+5)²+(y+9)²=7²

<u>(x+5)²+(y-9)²=49 is a required equation of a circle</u>.

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2 years ago

A letter of application is intended to

Travka [436]

I found the options online. I will state them and provide the answer.

OPTIONS
<span>A. find out what the prospective employer has to offer.
B. outline your value to a prospective employer.
C. accompany your portfolio.
D. remind the prospective employer of your recent interview.
</span>
ANSWER.
A letter of application is intended to outline your value to a prospective employer (option B) It is also known as a cover letter. It might be considered a job application which you send together with your CV to provide additional info about you.

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2 years ago

4x-5=4x+10 solve for x

Sav [38]

Remember you can do anything to an equation as long as you do it to both sides
4x-5=4x+10
minus 4x both sides
-5=10
false
no solution

6 0

3 years ago