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nexus9112 [7]
3 years ago
7

Write (8a^-3)^2/3 in a simplest form. a. a^2/4 b. 4a^2 c. 1/4a^2 d. none of these

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0
(8a^{-3})^\frac{2}{3}=(8 \cdot \frac{1}{a^3})^\frac{2}{3}=(\frac{8}{a^3})^\frac{2}{3}=\sqrt[3]{(\frac{8}{a^3})^2}=\sqrt[3]{\frac{64}{a^6}}=\frac{\sqrt[3]{64}}{\sqrt[3]{a^6}}=\frac{4}{a^2}

It doesn't equal any of the answers A, B, C.
The answer is D.
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A sports writer wished to see if a football filled with helium travels farther, on average, than a football filled with air. To
Vesnalui [34]

Answer:

(-3.07, 11.07)

Step-by-step explanation:

Given that a sports writer wished to see if a football filled with helium travels farther, on average, than a football filled with air. To test this, the writer used eighteen adult male volunteers. These volunteers were randomly divided into two groups of nine subjects each.

Group   Group One     Group Two  

Mean 300.00 296.00

SD 8.00 6.00

SEM 2.67 2.00

N 9     9    

The mean of Group One minus Group Two equals 4.00

 

standard error of difference = 3.333

   df = 16

t = 1.2000

Margin of error = 3.3333* t critical = 3.3333*2.121

 95% confidence interval of this difference: From -3.07 to 11.07

7 0
3 years ago
HELP ME ASAP!!!
nadezda [96]

Answer:

1 \frac{7}{12}

3 \frac{19}{24}

8 \frac{3}{10}

5 \frac{1}{7}

5 \frac{5}{12}

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Step-by-step explanation:

To add or subtract you need to make the denominator the same. To do this you need to find the least common multiple.

7 0
3 years ago
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A grocery store sells a bag of 3 oranges for $2.01. What is the cost of oranges, in dollars per orange?
Alik [6]

Answer:

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Step-by-step explanation:

2.01 is the total for three oranges.

the math would be 2.01 ÷ 3 = 0.67

to check your answer:

if one orange equals 0.67 and you have three of them

the math would be 3 × 0.67 = 2.01

3 0
3 years ago
an equation of a circle is x2 + y2 + 10x – 6y + 18 = 0. . . . A.Show all your work in determining the center and radius of this
MariettaO [177]

A circle is a set of points in a plane equidistant from a fixed point. It has a general formula of x² + y² = r². This is if the center is at the origin. However, if the center at point h and k, the equation becomes (x-h)² + (y-k)² = r².<span>

We write the given equation in the form (x-h)² + (y-k)² = r² by completing the square.
</span>

<span>x</span>²<span> + y</span>²<span> + 10x – 6y + 18 = 0</span>

<span> (x² + 10x + 25 )+ (y² - 6y + 9) = −18 + 25 + 9 = 16
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Therefore,

center = (-5, -5)
radius = 4</span>

7 0
4 years ago
If bacteria took 20 minutes to double from 2 to 4, how many bacteria would there be after 1 hour
iren2701 [21]
4 * 2 * 2 * 2 = 32 bacteria

Hope it helps!
3 0
3 years ago
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