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Dahasolnce [82]
3 years ago
9

When the expression 10^2021 − 2021 is evaluated, the result is a very large number.

Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0

Answer:

18,176

Step-by-step explanation:

Figure out an easier thing to do: 1000 - 2021 = 9,797.

Therefore, our answer will be like 9999999999999999999999997979. Out of all of these digits, there are only 2 that arent nines. We know the amount of digits since it's 10^2021 power. We will have one less since we are subtracting 2021. Therefore, 2020 digits in total. Now we know of those 2020 digits, 2 of them are 7, therefore 2018 of them are 9s. That means do 2018(9) + 2(7) = 14 + 18,162 =  18,176.

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Given that√7=2.65 and √70=8.37,find the value of
dolphi86 [110]

Answer:

A) 0.265

B) 0.0265

C) 0.837

D) 0.0837

E) 0.00265

F) 0.00837

Step-by-step explanation:

We are given;

√7 = 2.65 and √70 = 8.37

A) √0.07 can be rewritten as;

√(7 × 1/100)

Let's deal with the digits in the bracket.

Square root of 100 is 10. Thus;

√(7 × 1/100) = (1/10)√7 = (1/10) × 2.65 = 0.265

B) √0.0007

Rewrite to get;

√(7 × 1/10000)

Square root of 1/10000 is 1/100

Thus;

√(7 × 1/10000) = (1/100)√7 = (1/100) × 2.65 = 0.0265

C) √0.7

Like above;

√0.7 = √(70 × (1/100))

>> (1/10)√70 = (1/10) × 8.37 = 0.837

D) √0.007

Like above;

Rewrite to get;

√(70 × 1/10000)

Square root of 1/10000 is 1/100

Thus;

√(70 × 1/10000) = (1/100)√70 = (1/100) × 8.37 = 0.0837

E) √0.000007

Rewritten to;

√(7 × (1/1000000))

√(1/1000000) = 1/1000

Thus; √(7 × (1/1000000)) = 1/1000 × √7 = 1/1000 × 2.65 = 0.00265

F)√0.00007

Rewritten to;

√(70 × (1/1000000))

√(1/1000000) = 1/1000

Thus; √(70 × (1/1000000)) = 1/1000 × √70 = 1/1000 × 8.37 = 0.00837

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3 years ago
CDEF is kite and m A. 14 <br> B. 56 <br> C. 28 <br> D. 62
brilliants [131]

Answer:

Step-by-step explanation:

56

8 0
3 years ago
A given line has the equation 2x + 12y = −1. What is the equation, in slope-intercept form, of the line that is perpendicular to
VikaD [51]

Answer:

y = 6x + 9

Step-by-step explanation:

The equation of a line in slope- interceot form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2x + 12y = - 1 into this form

Subtract 2x from both sides

12y = - 2x - 1 ( divide all terms by 12 )

y = - \frac{1}{6} x - \frac{1}{12} ← in slope- intercept form

with slope m = - \frac{1}{6}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{6} } = 6

Note the line passes through (0, 9) on the y- axis ⇒ c = 9

y = 6x + 9 ← equation of perpendicular line

3 0
3 years ago
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The graph of this system of equations is which of the following?
ozzi
The answer is C. They are intersecting
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2 years ago
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Can someone help me with this math homework please!
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Answer:i dont know

Step-by-step explanation:

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