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3 years ago

12

can some one explain how to get the answer to this : the record for the most amount of rain in the shortest periodontal time in

the US was 12in. in 42 minutes. How much rain fell in 15 minutes? and in 28 minutes?

1 answer:

Vlad [161]3 years ago

8 0

Do 42 divided by 15 then divided 12 by the awnser. And you do 42 divided by 28 and divided that by 12 I think I'm pretty sure

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The perimeter of one of the rectangular playrooms at Miss Pittypat's Day Care is 72 feet. It's width is 10 feet.

Alex17521 [72]

Answer:

The area of the rectangular playroom is 260 feet² .

Step-by-step explanation:

Given:

The perimeter of the rectangular playroom is 72 feet and it's width is 10 feet.

Now, to find its area we need the length .

So, putting the formula of perimeter we get it's length:

Let the length be l .

Perimeter = 2( length + width)

$72=2(l+10)$

$72=2l+20$

subtracting both sides from 20:

$72-20=2l+20-20$

$52=2l$

Dividing both sides by 2:

$52\div2=2l\div2$

$26=l$

Length is 26 feet.

And, to get the area we put the formula of finding the area:

$Area=length\times width$

$Area=26\times 10$

$Area=260$

Therefore, the area of the rectangular playroom is 260 feet² .

3 0

3 years ago

Determine 7th term in the geometric sequence whose first term is 5 and whose common ratio is 2.

blagie [28]

$\bf n^{th}\textit{ term of a geometric sequence}
\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=5\\
r=2\\
n=7
\end{cases}
\\\\\\
a_7=5\cdot 2^{7-1}\implies a_7=5\cdot 2^6\implies a_7=320$

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3 years ago

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A. As we observe more numbers, we will always get closer to the actual average.

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3 years ago

Solve the equation. Round to the nearest hundredth. Show work.

Burka [1]

Answer:

$x=-0.75$

Step-by-step explanation:

The given equation is

$4^{-5x-7}=6^{2x-1}$

We take logarithm of both sides to base 10.

$\log(4^{-5x-7})=\log(6^{2x-1})$

$(-5x-7)\log(4)=(2x-1)\log(6)$

We expand the brackets to get;

$-5x\log(4)-7\log(4)=2x\log(6)-\log(6)$

Group similar terms;

$-7\log(4)+\log(6)=2x\log(6)+5x\log(4)$

$-7\log(4)+\log(6)=(2\log(6)+5\log(4))x$

$\frac{-7\log(4)+\log(6)}{(2\log(6)+5\log(4))}=x$

$x=-0.752478$

To the nearest hundredth.

$x=-0.75$

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dezoksy [38]

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