2 years ago

Gary Foshee created a popular probability puzzle that goes like this: "I have two children. One is a boy born on a Tuesday. What

Mathematics

1 answer:

GrogVix [38]2 years ago

8 0

Answer:

wendsday and thursaday

Step-by-step explanation:

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What is the value of the power a if 5 to the power of a is equal to 1/125

padilas [110]

First of all, you should know/notice that

$125=5^3$

You should also know how negative exponents work:

$a^{-m}=\dfrac{1}{a^m}$

So, if you wanted

$5^x=125$

the answer would be x=3, but since you want 125 to be at the denominator, the answer is x=-3:

$5^{-3}=\dfrac{1}{5^3}=\dfrac{1}{125}$

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3 years ago

Keisha had $54 when she went to a bookstore. She

storchak [24]

54 - a = 12 i believe

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3 years ago

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You are an urban planner assessing the growth of a city. Ten years ago, the city's population was 249,583. Its current populatio

solmaris [256]

$318,270-249,583=68,687\\\\\begin{array}{ccc}249,583&-&100\%\\68,687&-&p\%\end{array}\\\\cross\ multiply\\\\249,583p=68,687\cdot100\ \ \ \ /:249,583\\\\p\approx27.52\\\\Answer:\\The\ city\ grown\ over\ the\ past\ ten\ years\ at\ 27.52\%.$

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2 years ago

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65536, 256, 16, What is the next number?

Oduvanchick [21]

Hello,

$x_{1} =65536\\
 x_{n+1} =\sqrt{ x_{n}}\\\\

 x_{1}=65536\\
 x_{2} =\sqrt{65536}=256\\
 x_{3} =\sqrt{256}=16\\
 x_{4} =\sqrt{16}=4\\
 x_{5} =\sqrt{4}=2\\
 x_{6} =\sqrt{2}\\
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2 years ago

A photographer is planning to enlarge a photograph by a scale factor of 1:5 . The original photograph has an area of 154 square

Step2247 [10]

Your answer should have been 3850 in^2

1^2/5^2 = 1/25

1/25 = 154/x
1x= 154 (25)
1x/1= 3850/1
x= 3850

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3 years ago

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