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2 years ago

Use a proportion to convert 28 quarts to gallons.

Mathematics

1 answer:

mamaluj [8]2 years ago

5 0

Answer:

28 quarts = 7 gallons

Step-by-step explanation:

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Graph linear system and estimate the solution y=5x + 2 y=3x

NeTakaya

Y = 5x + 2
y = 3x

5x + 2 = 3x
- 5x - 5x
      2 = -2x
   -2 - 2
       -1 = x
y = 3x
y = 3(-1)
y = -3
(x, y) = (-1, -3)

3 0

2 years ago

In this scatterplot the individuals are states. The variable "cig" is the number of cigarettes sold per person in the state in 1

Ipatiy [6.2K]

Answer:

e= -5.41

Step-by-step explanation:

Hello!

In linear regression, a residual value is a distance between the observed values and the regression line.

The residual value (e) is calculated as the difference between the observed value (Y) and the predicted value (^Y).

e= Y - ^Y

e= 15.92 - 21.33 = -5.41

I hope it helps!

5 0

2 years ago

Given <br><img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%28x%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B%20log_%7Bxy%7D%282%29%20%7D%20

Naily [24]

Answer:

$\displaystyle y = x^{-\frac{2}{3}}$

Step-by-step explanation:

<u>Logarithms</u>

Some properties of logarithms will be useful to solve this problem:

1. $\log(pq)=\log p+\log q$

2. $\displaystyle \log_pq=\frac{1}{\log_qp}$

3. $\displaystyle \log p^q=q\log p$

We are given the equation:

$\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }$

Applying the second property:

$\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}$

Substituting:

$\displaystyle \log_{2}(x) = 3\log_{2}(xy)$

Applying the first property:

$\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))$

Operating:

$\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)$

Rearranging:

$\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)$

Simplifying:

$\displaystyle -2\log_{2}(x) =3\log_{2}(y)$

Dividing by 3:

$\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}$

Applying the third property:

$\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)$

Applying inverse logs:

$\boxed{y = x^{-\frac{2}{3}}}$

7 0

2 years ago

Write all the factors of 21 .<br> Use commas to separate them.

Advocard [28]

Answer:

1, 3, 7, 21!

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

One number is nine more than the other. Their sum is 33. Find the numbers. (Enter your answers as a comma-separated list.)

Bas_tet [7]

Answer:

The numbers are 12, 21.

Step-by-step explanation:

x+(x+9)=33

x+x+9=33

2x+9=33

2x=33-9

2x=24

x=24/2

x=12

--------

x+9=12+9=21

Please mark me as Brainliest if you're satisfied with the answer.

5 0

2 years ago