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VARVARA [1.3K]
3 years ago
8

54,372,000,000,000 in scientific notation

Mathematics
2 answers:
zhannawk [14.2K]3 years ago
6 0

Answer:

5.4372 x 10 to the 5th power

Step-by-step explanation:

krok68 [10]3 years ago
5 0

Answer:

5.4372*10^{13}

Step-by-step explanation:

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364 \times 26 = \boxed{(360 + 4) \times (20 + 6)} = \boxed{(300 + 64) \times (25 + 1)} = 9464
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Find an equation of the line that (a) has the same y -intercept as the line y + 5x + 9 = 0 and (b) is parallel to the line - 3x
kap26 [50]

Equation of required line is:

y = \frac{3}{4}x-9

Step-by-step explanation:

First of all we will convert both equations in slope-intercept form

y + 5x + 9 = 0

Subtracting 5x from both sides

y+9 = 0-5x\\y+9 = -5x

Subtracting 9 from both sides

y+9-9 = -5x-9\\y = -5x-9

The y-intercept is -9.

Other equation is:

- 3x + 4y = 3

Adding 3x on both sides

-3x+3x+4y = 3x+3\\4y=3x+3

Dividing both sides by 4

\frac{4y}{4} = \frac{3x+3}{4}\\y = \frac{3}{4}x+\frac{3}{4}

As the required line has y-ntercept of line y + 5x + 9 = 0

So,

b = -9

And

The line is parallel to second line, so the slopes of both will be equal

m=\frac{3}{4}

Slope-intercept form of line is:

y=mx+b

Putting values of b and m

y = \frac{3}{4}x-9

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/12973601
  • brainly.com/question/13063819

#LearnwithBrainly

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Consider a sequence given by the formula f(n) = 1 / 3 ^ n−1 starting with n = 1. Generate the first 5 terms of the
denpristay [2]

Answer:

Step-by-step explanation:

According to the formula we need to start from n = 1. So the first 5 terms of the sequence, will have the following values of n: 1,2,3,4,5

Now, we need to replace the values of n into the formula to get all the terms.

f(1) = 1/3 ^ 1-1 = 1/3^0 = 1.

This is because any number elevated to zero is always the unit, in this case, 1.

f(2) = 1/3 ^2-1 = 1/3 ^1 = 1/3

This, because any number elevated to 1, is always the same initial number.

f(3) = 1/3 ^3-1 = 1/3 ^2 = 1/9.

Because when the exponent is elevating a fraction number, the power goes to both numbers (numerator and denominator)

f(4) = 1/3 ^4-1 = 1/3 ^3 = 1/27.

f(5) = 1/3 ^5-1 = 1/3 ^4 = 1/81.

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4 years ago
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