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3 years ago

Help me pleaseeeeeeeeeeeeeeeeeee

Mathematics

1 answer:

Lena [83]3 years ago

5 0

The formula is length x width x height / 3 or V = lwh/3.

So for the first one: 13 * 14 * 6 = 1,092

1092 / 3 = 364 cm^3 (cubic centimeters). That formula works for all the examples on that page.

You might be interested in

Find an equation of the circle that has center (-4,3) and passes through (6,-4).

kumpel [21]

Answer:

$(x+4)^2+(y-3)^2=149$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center of the circle and $r$ is the radius of the circle.

Given that $(h,k)\rightarrow(-4,3)$ and it passes $(6,-4)$ , their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(-4-3)^2+(6-(-4))^2}\\\\d=\sqrt{(-7)^2+10^2}\\\\d=\sqrt{49+100}\\\\d=\sqrt{149}$

Therefore, if the length of the radius is $r=\sqrt{149}$ units, then $r^2=149$ , making the final equation of the circle $(x+4)^2+(y-3)^2=149$

5 0

3 years ago

you deposit 10000 into a bank account. the account pays 4 annual interest compounded quarterly. find the balance after 5 years.

Ann [662]

<h3>Answer: 12,201.90 dollars</h3>

You may need to delete the comma if you are entering this result into a computer system.

=====================================================

Work Shown:

P = 10,000 = deposit

r = 0.04 = decimal form of 4% interest rate

n = 4 = we're compounding 4 times a year

t = 5 years

-------------

A = P*(1+r/n)^(n*t) .... compound interest formula

A = 10,000*(1+0.04/4)^(4*5)

A = 12,201.9003994797

A = 12,201.90

After 5 years, there is $12,201.90 in the account.

This is assuming you do not deposit any more money, and it also assumes that you don't take any money out during the 5 year timespan either.

8 0

3 years ago

Determine the range of f(x) = |x + 5|.

lianna [129]

Answer:

[0,+♾)

Step-by-step explanation:

|x| function is kinda like a half opened book from (0, 0) and |x+5| is from (–5, 0)

So we can't find any changes for y

so the domain is

[0, +♾)

3 0

2 years ago

Which of the following is a zero for the function f(x) = (x + 3)(x - 7)(x + 5)

galina1969 [7]

Answer:

-3, 7, -5

Step-by-step explanation:

The x intercept is when y equals zero, so plug in numbers that would make y equal 0.

In this case, if anything inside the brackets is 0 then the whole think would be 0.

any number times 0 is 0.

Hope this helps!

8 0

3 years ago

THIS QUESTION IS EASY, I JUST NEED EXPLANATION.

chubhunter [2.5K]

It would help to have the question. But I'll guess

$\sqrt[4]{x^{\frac 3 5}}{\sqrt{x^2}} = ((x^{\frac 3 5})^{\frac 1 4}) }{ x} = x^{\frac 3{20}} x = x \sqrt[20]{x^3}$

2nd choice.

I forgot the explanation because I was so glad to have puzzled out the question.

The fourth root is the same as the 1/4 th power.

If we know x is positive $\sqrt{x^2}=|x|=x$

$\sqrt[4]{x^{\frac 3 5}}{\sqrt{x^2}}$

$= ((x^{\frac 3 5})^{\frac 1 4}) }{ x}$

We multiply the powers: $(a^b)^c=a^{bc}$

$= x^{\frac 3{20}} x$

The one-twentieth power is the twentieth root. We bring the additional factor of x to the front.

$= x \sqrt[20]{x^3}$

6 0

4 years ago

Read 2 more answers