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statuscvo [17]
3 years ago
10

WHAT IS THE PRIME FACTORIZATION FOR ONE BILLION

Mathematics
1 answer:
Ivan3 years ago
3 0
1 billion is=1,000,000,000
count the zeros since it has only 10's as the factors
9 zeros
the 10=2 times 5
so there are 10 2's and 10 5's so the prime factorization is
2 times 2 times 2 times 2 times 2 times 2 times 2 times 2 times 2 times 2 times 5 times 5 times 5 times 5 times 5 times 5 times 5 times 5 times 5 times 5 or
2^10 times 5^10
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Find the value of a and b if root3-1/root3+1+ root3+1/root3-1=a+root3 b​
Digiron [165]

Answer:

a=4 and b = 0

Step-by-step explanation:

Given : \dfrac{\sqrt 3 -1}{\sqrt 3+1}+\dfrac{\sqrt 3+1}{\sqrt 3-1}=a+\sqrt 3 b

To find, The value of a and b

Solution,

Solving LHS of the given equation,

\dfrac{(\sqrt 3-1)^2+(\sqrt3+1)^2}{(\sqrt 3+1)(\sqrt 3-1)}=a+\sqrt 3 b

Since,

(a-b)^2=a^2+b^2-2ab\\\\(a+b)^2=a^2+b^2+2ab\\\\(a-b)(a+b)=a^2+b^2

So,

\dfrac{3+1-2\sqrt 3+3+1+2\sqrt 3}{3-1}=a+\sqrt 3 b\\\\4=a+\sqrt 3 b

or

4+0=a+\sqrt 3 b

On comparing we get :

a = 4 and b = 0

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3 years ago
Hailey spent $12 to buy $2 fish her cousin spent double the amount on fish each fish cost the same amount how many fish do haile
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If 154 pounds is the lightest weight, then<br> pounds is the heaviest.<br> 170<br> 163<br> 169
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Step-by-step explanation:

...

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Brian has 75 pieces of candy 45 pieces of his candy or chocolate what percentage of his candy is chocolate
Alik [6]

Answer:

60%

Step-by-step explanation:

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45/75

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To get percentage from a decimal, move the decimal point to the right two place values

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He coordinates of the vertices of a polygon are (−2, −2) , (−2, 3) , (2, 4) , (3, 1) , and (0, −2) .
Nitella [24]

Answer: The perimeter is 17.52


Step-by-step explanation:

1. You can plot the points, as you can see in the graph attached.

2. As you can see in the graph, the points are:

A(-2,-2)\\B(-2,3)\\C(2,4)\\D(3,1)\\E(0,-2)

And the lenghts <em>AB</em> and <em>EA</em> are:

AB=5

EA=2

3. To find the other lenghts, you can apply the formula for calculate the distance between two points:

distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

4. Thefore, you have:

BC=\sqrt{(2-(-2))^{2}+(4-3)^{2}}=4.12\\CD=\sqrt{(2-3)^{2}+(4-1)^{2}}=3.16\\DE=\sqrt{(3-0)^{2}+(1-(-2))^{2}}=4.24

5. The perimeter is:

P=AB+CD+DE+EA\\P=5+4.12+3.16+4.24+2\\P=17.52

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3 years ago
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