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4 years ago

Is 1/7 rational or irrational

2 answers:

3 0

$\frac{1}{7} \ is\ rational\ number. \\\\ Every\ number\ which\ can\ be\ written\ as\ fraction\ (quotient)\ of\ two\\numbers\ is\ rational.$

DaniilM [7]4 years ago

3 0

1/7 is a rational number

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Camille is sixty-six inches tall. This is twenty inches less than two times Mindy’s height. How tall is Mindy?

Helga [31]

23 inches
x = mindy's height
2x - 20 = 66
-20 -20
2x = 46
/2 /2
x = 23

7 0

4 years ago

An economist conducted a study of the possible association between weekly income and weekly grocery expenditures. The particular

kolezko [41]

Answer:

42.1% of variation in the response is explained by the regression line

Step-by-step explanation:

Correlation coefficient is a measure which tells us that how strongly are two variables under study are linearly related to each other i.e correlation coefficient gives the strength of linear association between the variables.

If the magnitude of correlation coefficient is closer to 1, it indicates a strong linear relationship. If the magnitude of correlation coefficient is closer to 0, it indicates a weak linear relationship.

There is another variable known as "Coefficient of Determination", which is equal to square of Correlation Coefficient. Coefficient of Determination tells us that what percentage of variation in the response of the study can be explained by the regression line.

This means, for this question we need to calculate the Coefficient of Determination.

Correlation coefficient = r = 0.649

Coefficient of Determination = R = r² = (0.649)²= 0.421 = 42.1 %

This means that 42.1% of variation in the response is explained by the regression line.

5 0

3 years ago

Can anyone help me!

zhenek [66]

Answer:

$\large \text{$ \sf 2^{-64}$}$

Step-by-step explanation:

Given:

$\large \text{$ \sf (256)^{-4^{\frac{3}{2}}}$}$

This reads as: 256 to the power of "-4 to the power of 3/2".

Therefore, we need to deal with the "-4 to the power of 3/2" first.

Rewrite the 4 as 2²:

$\large \text{$ \sf \implies -(2^2)^{\frac{3}{2}}$}$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\large \text{$ \sf \implies -2^{\left(2 \times \frac{3}{2}\right)}$}$

$\large \text{$ \sf \implies -2^{3}$}$

Therefore:

$\large \text{$ \sf \implies -2^3=(-2)(-2)(-2) = -8$}$

Replace "-4 to the power of 3/2" with -8 :

$\large \text{$ \sf \implies 256^{-8}$}$

Rewrite 256 as 2⁸ :

$\large \text{$ \sf \implies (2^8)^{-8}$}$

$\textsf{Again, apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\large \text{$ \sf \implies 2^{(8 \times -8)}$}$

$\large \text{$ \sf \implies 2^{-64}$}$

In one complete calculation:

$\large\begin{aligned} \sf (256)^{-4^{\frac{3}{2}}} & = \sf (256)^{-(2^2)^{\frac{3}{2}}}\\& = \sf (256)^{-2^{\left(2 \times \frac{3}{2}\right)}}\\& =\sf (256)^{-2^{3}}\\& = \sf (256)^{-8}\\& \sf = (2^8)^{-8}\\& = \sf 2^{(8 \times -8)}\\& =\sf 2^{-64}\end{aligned}$

Learn more about exponent rules here:

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brainly.com/question/27959936

4 0

2 years ago

Read 2 more answers

Multiply by applying the commutative and/or associative property.

arlik [135]

3.20 is it I will be w

6 0

3 years ago

Read 2 more answers

If f(x)=3x^2-4x+4 and g(x)=2x^2+2, find f(x)-g(x)

Contact [7]

add both equations as 3x^2-2x+4-[5x^2+6x-8] then we distribute the subtraction sign to g(x)—->-5x^2-6x+8. Now, we add f(x)+g(x) and group like terms to simplify—> as 3x^2-5x^2-2x-6x+4+8=-2x^2+8x+12

Answer: -2x^2-8x+12

7 0

3 years ago