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3 years ago

How much water will be needed to fill a cubic hot tub that has one side with an

Mathematics

1 answer:

ale4655 [162]3 years ago

3 0

Answer:

Step-by-step explanation:

A pool calculator, or a few simple equations, will give you the ... chemicals into your pool willy nilly, you need to know how much to use. .... key part of your equations is this: One cubic foot of water contains 7.5 ... Rectangular or Square Pool Volume ... 3.14 × 144 × 4 × 7.5 = 13,564.8 gallons ...

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Find the value of the following expression: (2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whol

koban [17]

Answer:

$\large\boxed{\dfrac{5^2\cdot57}{2^{26}}=\dfrac{1425}{67108864}}$

Step-by-step explanation:

$\left(2^8\cdot5^{-5}\cdot19^0\right)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot228\\\\\text{use}\ a^{-n}=\dfrac{1}{a^n}\ \text{and}\ a^0=1\ \text{and}\ (a^n)^m=a^{nm}\\\\=\left(2^8\cdot\dfrac{1}{5^5}\cdot1\right)^{-2}\cdot\left(\dfrac{\frac{1}{5^2}}{2^3}\right)^4\cdot228=\left(\dfrac{2^8}{5^5}\right)^{-2}\cdot\left(\dfrac{1}{2^35^2}\right)^4\cdot228$

$=\dfrac{(2^8)^{-2}}{(5^5)^{-2}}\cdot\dfrac{1^4}{(2^3)^4(5^2)^4}\cdot228=\dfrac{2^{-16}}{5^{-10}}\cdot\dfrac{1}{2^{12}5^8}\cdot228\\\\\text{use}\ a^n=\dfrac{1}{a^{-n}}\to\dfrac{1}{a^n}=a^{-n}\\\\=2^{-16}\cdot5^{10}\cdot2^{-12}\cdot5^{-8}\cdot228\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=2^{-16+(-12)}\cdot5^{10+(-8)}\cdot228=2^{-28}\cdot5^2\cdot228\\\\=2^{-28}\cdot5^2\cdot4\cdot57=2^{-28}\cdot5^2\cdot2^2\cdot57=2^{-28+2}\cdot5^2\cdot57\\\\=2^{-26}\cdot5^2\cdot57=\dfrac{5^2\cdot57}{2^{26}}$

$\large\boxed{\dfrac{5^2\cdot57}{2^{26}}=\dfrac{1425}{67108864}}$

4 0

3 years ago

If s = 1 over 3 unit and A = 18s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)

arsen [322]

S= $\frac{1}{3}$
A=18 $s^{2}$
A=18*( $\frac{1}{3 )^{2} }$
A=2

3 0

3 years ago

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The value of a $3000 computer decreases about 30% each year. write a function for the computers value V(t)

den301095 [7]

Answer:

Function for given situation is : $V(t)=3000(0.70)^t$

Value of computer after 4 years = $720.3.

Step-by-step explanation:

Given that the value of a $3000 computer decreases about 30% each year. Now we need to write a function for the computers value V(t). then we need to find about how much will the computer be worth in 4 years.

It clearly says that value decreases so that means function represents decay.

For decay we use formula:

$A=P(1-r)^t$

where P=initial value = $3000,

r= rate of decrease =30% = 0.30

t= number of years

A=V(t) = future value

so the required function is $V(t)=3000(1-0.30)^t$

or $V(t)=3000(0.70)^t$

Now plug t=4 years to get the value of computer after 4 years.

$V(4)=3000(0.70)^4$

$V(4)=720.3$

Hence final answer is $720.3.

7 0

3 years ago

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sweet [91]

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3 0

3 years ago

It's been a while since I've taken a math class and I'm stressed please help me out. The question is circled.

brilliants [131]

-3/2x

The rational expression would not be defined only when the denominator is divided by 0

That is:

2x =0

x = 0/2

x =0

Hence it would not be defined when x = 0.

Hope this helps.

8 0

3 years ago

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