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natima [27]
3 years ago
8

If f(x)=2^x find x if f(x)= 1/4

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0

\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)=2^x~\hspace{7em} \begin{cases} f(x)=\cfrac{1}{4} \end{cases} \qquad \qquad \cfrac{1}{4}=2^x\implies \cfrac{1}{2^2}=2^x \\\\\\ 2^{-2}=2^x\implies \stackrel{\textit{if the bases are the same, the exponents must also be the same}}{-2=x}

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What is the volume of a microwave oven that is 18 inches wide by 10 inches long with a depth of 11 1/2 inches?
ivann1987 [24]

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Step-by-step explanation:

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7 0
3 years ago
226,710 - 724,435 =<br> How to work this out without calculator
Anit [1.1K]
Okay so this is going to be confusing but work from right to left. since you can’t do 0-5, borrow from the one next to the zero on the top, cross out the one and put zero and add a one on top of the zero which makes it 10. now you can do 10-5 to get 5. put the five down below the line. next solve the second column of numbers ( second to the right). since you cannot do 0- 3, like the last one, you have to borrow from the 7 over to the left. take one from there and cross the seven out and put a six. now you have 10-3 which is 7. put the 7 down. now do move to the next column and do 6-2 to get 4. put the four down below the line. move to the next column and do 2-2 to get 0. put the zero down below the line. lastly, we know the answer has to be negative so we are going to do 2-7 to get -5. put -5 down below the line and together to get the answer -502,275. i know that was very confusing but i hope it helped a little bit. i added a picture to clarify a little

7 0
2 years ago
PLEASE HURRY. 55P WRONG ANSWERS GET REMOVED!!!!!!!
sertanlavr [38]
  • <em>Answer:</em>

<em>1172. 08 in²</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there !</em>

<em>A(prism) = 2(lw + lh + wh) - Ab(cylinder)</em>

<em>= 2(16*11 + 16*11 + 11*11) - πr²</em>

<em>= 2(176 + 176 + 121) - 3.14*16</em>

<em>= 2*473 - 50.4</em>

<em>= 946 - 50.24</em>

<em>= 895.76 in²</em>

<em>A(cylinder) = πr² + 2πr*h</em>

<em>= 3.14*16 + 2*3.14*4*9</em>

<em>= 50.24 + 226.08</em>

<em>= 276.32 in²</em>

<em>A(total) = 895.76in² + 276.32in² = 1172.08 in²</em>

<em>Good luck !</em>

6 0
3 years ago
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