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PolarNik [594]
3 years ago
14

What is the image of (-7,-1) after a dilation by a scale factor of 4 centered at the origin

Mathematics
1 answer:
nlexa [21]3 years ago
7 0

Answer: (-28,-4)  

Step-by-step explanation:

Multiply the x and y coordinate values by the scale factor to find the image.

-7 * 4 = -28  

-1 * 4 = -4

(-28,-4)

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Help me find Sample variance and standard deviation
AnnZ [28]
First, find the mean. You'll need it to compute the variance.

\bar x=\displaystyle\frac15\sum_{i=1}^5x_i=\dfrac{21+10+6+7+11}5=11

The variance of the sample is then computed with the formula

s^2=\displaystyle\dfrac1{5-1}\sum_{i=1}^5(\bar x-x_i)^2=\dfrac{(21-11)^2+\cdots+(11-11)^2}4=\dfrac{71}2=35.5

The standard deviation is the square root of the variance, so

s=\sqrt{35.5}\approx5.958
5 0
3 years ago
Combine like terms 6x^2+4(x^2-1)
ki77a [65]
6x^2 + 4(x^2 - 1) = 
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4 0
3 years ago
Read 2 more answers
When the expression 10^2021 − 2021 is evaluated, the result is a very large number.
Dafna11 [192]

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.

6 0
3 years ago
What is the common difference in the following arithmetic sequence?7,3,-1,-5
Natasha2012 [34]

Answer:

-4

Step-by-step explanation:

The common difference is found by subtracting the second term from a previous term

So...

3-7 would give the common difference = -4

-1-3 would give the common difference= -4

-5-1 would give the common difference= -4

5 0
3 years ago
PLEASE HELP FAST The Booster Club raised $30,000 for a sports fund. No more money will be placed into the fund. Each year the fu
zloy xaker [14]

Answer:

c. $24,435

Step-by-step explanation:

30000(1 - .05)^{4} = 24,435.19

3 0
3 years ago
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