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djverab [1.8K]
3 years ago
7

Explain why the cubed root of -8/27 is -2/3

Mathematics
2 answers:
Len [333]3 years ago
4 0
Help me and I’ll help you
Kazeer [188]3 years ago
4 0

Answer:

Because the cubed root of the numerator and denominator equals the answer

Step-by-step explanation:

alright, we are trying to understand WHY \sqrt[3]{\frac{-8}{27} }  =  -\frac{2}{3}

You can actually rewrite the first number as -\frac{\sqrt[3]{8} }{\sqrt[3]{27} }

you must look for the number, which three times itself, equals 8...

...and the same thing for the bottom: a number, which three times itself... equals 27.

What number cubed equals 8? The answer is 2

What number cubed equals 27? The answer is 3

...so now we have -2 over 3. You can double check this answer.

-\frac{2}{3} * -\frac{2}{3}  = \frac{4}{9}

\frac{4}{9} * -\frac{2}{3} = -\frac{8}{27}

we get the original number that we were looking for the cubed root... SUCCESS.

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The table of values represents an exponential function ​f(x). What is the average rate of change over the interval −2≤x≤2 ? Ente
solong [7]

Answer:

2.50

Step-by-step explanation:

The average rate of change over the interval −2≤x≤2 is:

(f(2) − f(-2)) / (2 − -2)

From the table, we see that f(2) = 14 and f(-2) = 4.

(14 − 4) / (2 − -2)

10 / 4

2.50

8 0
3 years ago
F m∠ 4 = 2x° and m∠ 5 = 4x°, what is the value of x?
Mademuasel [1]

Answer:

Step-by-step explanation:

∠5 + ∠4 = 180°

4x° + 2x° = 180°

6x° = 180°

x = 30

6 0
3 years ago
Of great importance to residents of central Florida is the amount of radioactive material present in the soul of reclaimed phosp
alukav5142 [94]

Answer:

See figure attached and explanation below.

Step-by-step explanation:

For this case we have the following dataset given:

0.74, 0.32, 1.66, 3.59, 4.55, 6.47, 9.99, 0.7, 0.37, 0.76, 1.9, 1.77, 2.42, 1.09, 2.03, 2.69,2.41, 0.54, 8.32, 5.70, 0.75, 1.96, 3.36, 4.06, 12.48

And for this case we can use the followinf R code to create the frequency histogram.

> x<-c(0.74, 0.32, 1.66, 3.59, 4.55, 6.47, 9.99,0.7, 0.37, 0.76, 1.9, 1.77, 2.42, 1.09, 2.03, 2.69,2.41, 0.54, 8.32, 5.70, 0.75, 1.96, 3.36, 4.06,12.48)

> length(x)

[1] 25

> hist(x, prob=TRUE)

And for this case we have the histogram on the figure attached. For the number of classes we use the formula of sturges:

k = 1 +3.322 log (n)= 1+3.3 log(25)= 5.61

And for this case we have approximately 6 classes. And that's what we can see on the figure attached

As we can see most of the values are on the left so then we have a right skewed to the right and the distribution is assymetrical, with most of the values between 0 and 6

4 0
4 years ago
If my slope is -2/3 and my y intercept is -1 what’s my equation?
finlep [7]

Answer:

y = mx + b

therefore, the equation is y = -2/3x - 1

the -2/3 got the x because it is the slope and if you look at the formula, it tells you.

y-intercept is the starting point (b)

Step-by-step explanation:

8 0
3 years ago
{172-[125+(30÷2)×]}+5(8+3)
Tpy6a [65]

Answer:

is -15x+102 I belive. hope I helped!!! :D

8 0
3 years ago
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