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kolezko [41]
3 years ago
14

The sun is about 10 • 10 million miles away from earth. Write 10 • 10 using an exponent. Then find the value of the power. How m

any miles away is the sun?
Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0

Answer:

  • so if 10 times 10 is 100
  • <em><u>your</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>should</u></em><em><u> </u></em><em><u>be</u></em><em><u> </u></em><em><u>1</u></em><em><u>0</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>2</u></em><em><u>n</u></em><em><u>d</u></em><em><u> </u></em><em><u>power</u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u>(</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>2</u></em><em><u>n</u></em><em><u>d</u></em><em><u> </u></em><em><u>power</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>little</u></em><em><u> </u></em><em><u>number</u></em><em><u> </u></em><em><u>that</u></em><em><u> </u></em><em><u>goes</u></em><em><u> </u></em><em><u>on</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>top</u></em><em><u> </u></em><em><u>right</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>1</u></em><em><u>0</u></em><em><u>)</u></em>
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For what values of x is f(x) = |x + 1| differentiable? I'm struggling my butt off for this course
pav-90 [236]

By definition of absolute value, you have

f(x) = |x+1| = \begin{cases}x+1&\text{if }x+1\ge0 \\ -(x+1)&\text{if }x+1

or more simply,

f(x) = \begin{cases}x+1&\text{if }x\ge-1\\-x-1&\text{if }x

On their own, each piece is differentiable over their respective domains, except at the point where they split off.

For <em>x</em> > -1, we have

(<em>x</em> + 1)<em>'</em> = 1

while for <em>x</em> < -1,

(-<em>x</em> - 1)<em>'</em> = -1

More concisely,

f'(x) = \begin{cases}1&\text{if }x>-1\\-1&\text{if }x

Note the strict inequalities in the definition of <em>f '(x)</em>.

In order for <em>f(x)</em> to be differentiable at <em>x</em> = -1, the derivative <em>f '(x)</em> must be continuous at <em>x</em> = -1. But this is not the case, because the limits from either side of <em>x</em> = -1 for the derivative do not match:

\displaystyle \lim_{x\to-1^-}f'(x) = \lim_{x\to-1}(-1) = -1

\displaystyle \lim_{x\to-1^+}f'(x) = \lim_{x\to-1}1 = 1

All this to say that <em>f(x)</em> is differentiable everywhere on its domain, <em>except</em> at the point <em>x</em> = -1.

4 0
3 years ago
I need help I’m stuck
cluponka [151]

Answer:

Step-by-step explanation:

5 0
3 years ago
Which is not true <br><br> 10 + 9 = 7 + 12<br> 10 = 10<br> 10 - 4 = 3 + 3<br><br> 10 = 19 - 11
Natasha2012 [34]

Answer:

10=19-11

Step-by-step explanation:

that answer is false because 19-11 = 8 not 10

3 0
2 years ago
Read 2 more answers
To make copies of blueprints vintage reprographics charges $5.00 setup fee and $4.00 per copy myra can spend nomore than $81.00
Rudiy27

Answer:

19 copies

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
molly school is selling tickets to the fall musical. on the first day of the ticket sales the school sold 13 adults tickets and
tester [92]

Answer:

Adult Ticket Price = $13

Child Ticket Price = $13

Step-by-step explanation:

Let price of adult ticket be "a" and child ticket be "c"

13 adult and 14 child equals $351, so we can write:

13a + 14c = 351

and

2 adult and 7 child equals $117, thus we can write:

2a + 7c = 117

We multiply 2nd equation by (-2) to get:

-2 * [2a + 7c = 117]

= -4a -14c = -234

Adding botht he "bold" equations, we get:

13a + 14c = 351

-4a -14c = -234

------------------------

9a = 117

a = 117/9 = 13

Now to find b, we use the value of a gotten in the first equation:

13a + 14c = 351

13(13) + 14c = 351

169 + 14c = 351

14c = 182

c = 182/14 = 13

Hence,

<em>Adult Ticket Price = $13</em>

<em>Child Ticket Price = $13</em>

3 0
3 years ago
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