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Brilliant_brown [7]
3 years ago
7

Simplify.

Mathematics
1 answer:
alexgriva [62]3 years ago
7 0

Answer:

It's - 17x trust me it's right

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Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4
crimeas [40]

We have been given an expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}. We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.

Let us simplify our given expression.

Using exponent property, a^m\cdot a^n=a^{m+n}, we cab rewrite our given expression as:

\left( 4^{-2+(-3)} \right)^{3}

\left( 4^{-5} \right)^{3}

Now we will use exponent property (a^m)^n=a^{m\cdot n}to further simplify our expression.

\left( 4^{-5} \right)^{3}= 4^{-5\cdot 3}

\left( 4^{-5} \right)^{3}= 4^{-15}

Therefore, Chris made mistake in step 2.

8 0
4 years ago
What tests are used to determine the radius of convergence of a power series? A. Divergence TestB. Root Test C. Comparison Test
REY [17]

Answer:

The radius of convergence is half of the length of the interval of convergence. If the radius of convergence is R then the interval of convergence will include the open interval: (a − R, a + R). To find the radius of convergence, R, you use the Ratio Test.

7 0
3 years ago
"Data from the World Health Organization in 2013 were used to predict the life expectancy of men in a country from the life expe
marshall27 [118]

Answer:

The predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

Step-by-step explanation:

The least square regression line is used to predict the value of the dependent variable from an independent variable.

The general form of a least square regression line is:

\hat y=\alpha +\beta x

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>α</em> = intercept

<em>β</em> = slope

The regression line to predict the life expectancy of men in a country from the life expectancy of women in that country is:

\hat y=3.73 +0.88 x

Compute the life expectancy of men in a country in which the life expectancy of women is 70 years as follows:

\hat y=3.73 +0.88 x

  =3.73 +(0.88\times 70)\\=3.73+61.6\\=65.33

Thus, the predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

6 0
4 years ago
Help very fast please help me
Irina18 [472]

Find the discount price and subtract from the total to find the sale price.

To find the discount price, multiply 90 b 40% (convert 40% into decimal)

90 x 0.4 = 36

Next, subtract the discount from the total to find the sale price.

90 - 36 =  54

So, the sale price is <u>$54</u>.

6 0
3 years ago
Choose all the fractions that are equivalent to1/7. (Click all that apply.)
Alchen [17]

Answer:

2/14, 4/28, 5/35, 7/70 or just 2/14

Step-by-step explanation:

Multiply both the numerator and denominator of 1/7 by 2, to get 2/14, or 2:14

And multiply the numerator and denominator of 1/7 by 3, to get 3/21, or 3:21. So 2:14 and 3:21 are two ratios that are equal to 1:7.

8 0
3 years ago
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