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yaroslaw [1]
2 years ago
6

Which choice is equivalent to the expression below?

Mathematics
2 answers:
yulyashka [42]2 years ago
7 0
<h3>Answer: Choice C</h3>

==================================================

Explanation:

We can rewrite the exponent 9.969 as 9 + 0.9 + 0.06 + 0.009

Then convert each decimal to a fraction

  • 0.9 = 9/10
  • 0.06 = 6/100
  • 0.009 = 9/1000

Your teacher is choosing not to reduce any of these fractions.

Then you'll use this rule a^{b+c} = a^b*a^c to break up the exponent into the pieces mentioned.

So,

5^{9.969} = 5^{9 + 0.9+0.06+0.009}\\\\5^{9.969} = 5^{9 + 9/10+6/100+9/1000}\\\\5^{9.969} = 5^{9}\cdot 5^{9/10}\cdot 5^{6/100}\cdot 5^{9/1000}\\\\

user100 [1]2 years ago
3 0
It’s C I did it on a test
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Slope intercept form for 1/-2
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y= 1/-2x + b

The standard slope intercept form would be y =mx+b

"m" would be the increase/decrease or what makes the line go up or down,

and the "b" would be the height in which it starts at

Hope this helped.

7 0
3 years ago
The following table shows the percent increase of donations made on behalf of a non-profit organization for the period of 1984 t
pashok25 [27]
Giving the table below which shows <span>the percent increase of donations made on behalf of a non-profit organization for the period of 1984 to 2003.
</span>
Year:        1984     1989     1993     1997     2001     2003

Percent:    7.8       16.3       26.2      38.9     49.2      62.1

The scatter plot of the data is attached with the x-axis representing the number of years after 1980 and the y-axis representing the percent increase <span>of donations made on behalf of a non-profit organization.

To find the equation for the line of regression where </span><span>the x-axis representing the number of years after 1980 and the y-axis representing the percent increase of donations made on behalf of a non-profit organization.
\begin{center}&#10;\begin{tabular}{ c| c| c| c| }&#10; x & y & x^2 & xy \\ [1ex] &#10; 4 & 7.8 & 16 & 31.2 \\  &#10; 9 & 16.3 & 81 & 146.7 \\ &#10;13 & 26.2 & 169 & 340.6 \\ &#10;17 & 38.9 & 289 & 661.3 \\ &#10;21 & 49.2 & 441 & 1,033.2 \\ &#10;23 & 62.1 & 529 & 1,428.3 \\ [1ex]&#10;\Sigma x=87 & \Sigma y=200.5 & \Sigma x^2=1,525 & \Sigma xy=3,641.3  &#10;\end{tabular}&#10;\end{center}
</span>
Recall that the equation of the regression line is given by
y=a+bx
where
a= \frac{(\Sigma y)(\Sigma x^2)-(\Sigma x)(\Sigma xy)}{n(\Sigma x^2)-(\Sigma x)^2} = \frac{200.5(1,525)-87(3,641.3)}{6(1,525)-(87)^2}  \\  \\ = \frac{305,762.5-316793.1}{9,150-7,569} = \frac{-11,030.6}{1,581} =-6.977
and
b= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{n(\Sigma x^2)-(\Sigma x)^2} = \frac{6(3,641.3)-(87)(200.5)}{6(1,525)-(87)^2}  \\  \\ = \frac{21,847.8-17,443.5}{9,150-7,569} = \frac{4,404.3}{1,581} =2.7858

Thus, the equation of the regresson line is given by
y=-6.977+2.7858x

The graph of the regression line is attached.

Using the equation, we can predict the percent donated in the year 2015. Recall that 2015 is 35 years after 1980. Thus x = 35.

The percent donated in the year 2015 is given by
-6.977+2.7858(35)=-6.977+97.503=90.526

Therefore, the percent donated in the year 2015 is predicted to be 90.5

7 0
3 years ago
Gaby has 89 friendship bracelets. She has 4 friends, Lulu, Brianna, Brittany and Mariah. When, they get the bracelets are they a
ipn [44]

Answer:

They will not get the same amount of bracelets

Step-by-step explanation:

You cannot divide 89 by 4 to get an equal number (4 is not a factor of 9)

5 0
2 years ago
Read 2 more answers
The second digit of a four digit number is "0". If you write the digits of this number backwards, you will get a number 9 times
wolverine [178]

Answer:

1089

Step-by-step explanation:

The original number is A0CD, We have that DC0A = 9 x A0CD.

If A =1, then D = 9 and we have:

9C01 = 9 x 10C9

In order for this expression to be true, the following must also be true:

(C x 9) + 8 must be divisible by 10, which means that C x 9 must end in a 2.

The only multiple of 9 (from 9 to 81) that ends in a 2 is 72.

72 = 9 x 8.

Therefore, C must be 8 and the original number is 1089. Multiply it by 9 to check the answer:

1089 x 9 = 9,081

Therefore, 1089 is correct.

6 0
3 years ago
6 x (36÷12)2 + 8 = =
svp [43]

6*(36/12)2+8

=44

Hope this helped :T

7 0
2 years ago
Read 2 more answers
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