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o-na [289]
3 years ago
8

In a different plan for area​ codes, the first digit could be any number from 4 through 7​, the second digit was either 2, 3, or

4​, and the third digit could be any number except 0 . With this​ plan, how many different area codes are​ possible?
Mathematics
1 answer:
adell [148]3 years ago
8 0
1st digit:: 3ways
2nd digit:: 3ways
3rd digit:: 9 ways

3x3x9=81

So the answer is 81 different possible area codes.
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Charles is reading about computers. He learns that a computer processor can perform one command in approximately 0.000000016 n
Andru [333]
To convert our number to scientific notation, we are going to move the decimal point to the right until we have only one non-zero digit to the left of the decimal point, and then, we are going to multiply that number by a negative power of 10 equal to the number of times we moved the decimal point to the right:
<span>
Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have </span>only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e. 10^{-8}.
So 0.000000016 expressed in scientific notation is 1.6x10^-8, or in calculator notation 1.6E-8

We can conclude that the correct answers are <span>1.6E-8 and </span><span>1.6 × 10-8</span>
3 0
3 years ago
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Please anwser im having the hardest time on this picture
Free_Kalibri [48]
What you do first is add the books 42 + 85 + 69 which equals 196. Then divide 196 by 7 and you get 28 :)
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Simplify the expression<br><br> 5(2w+3)+6w
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You have distribute the 5 into the 2 which is 10w +15 +30w.
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Find the equation of the circle with a diameter whose end points are (-1,-2) and (-3,2)
Sergeeva-Olga [200]

Answer:

The equation of the circle with a diameter whose end points are (-1,-2) and (-3,2) is

x^{2} +y^{2}+4x-1=0

Step-by-step explanation:

<u>Explanation:</u>-

<u>Step 1:</u>-

The equation of the circle having center and radius is

(x-h)^2+(y-k)^2=r^2

here center is (h,k) and radius is r

Given diameter whose end points are (-1,-2) and (-3,2)

The diameter of the circle is passing through the center of the circle

so center of the circle = midpoint of two end points

      (\frac{-1 +(-3) }{2} ,\frac{-2+2 }{2}  )

    (-2,0)

therefore center (h,k) = (-2,0)

<u>Step 2:-</u>

we have to find the radius of the circle

the radius of the circle = the distance from center to the one end point

i.e., C P = r

Given one end point is P(-3,2) and center C(-2,0)

The distance formula of two points are

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

r=\sqrt{{(-3)-(-1) ) ^{2}+ (2-(-2)) ^{2}}

r=\sqrt{5}

<u>Step 3</u>:-

center (h,k) = (-2,0) and

radius r=\sqrt{5}

The standard form of circle equation

(x-h)^2+(y-k)^2=r^2

(x-(-2))^2+(y-0)^2=\sqrt{5} ^2

on simplification is

x^{2} +y^{2}+4 x-1=0

5 0
3 years ago
How do i use Scientific notation on these problems? Because I don't know...
saveliy_v [14]

Answer:

Simplify the problems first

Step-by-step explanation:

Before you can convert it to scientific notation, you should simplify it first.

#1 for example:

(4 \times 10^5)^2\\

Use PEMDAS to solve the equation:

(4 \times 10^5)^2\\= 400000^2\\= 160000000000

So, now we have a super big number. To write it in scientific notation, put a decimal place in the number before the zeroes start. It would be  1.6 \times 10^{11} since there are 11 places after the decimal.

8 0
3 years ago
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