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Evgesh-ka [11]
3 years ago
10

Find all the real cube roots of each number. -64

Mathematics
2 answers:
masya89 [10]3 years ago
4 0
The cubed root of -64 is -4.

-4*-4*-4=-64
Masteriza [31]3 years ago
3 0

Every number has three cube roots.

The only real cube root of -64 is <em>-4</em> .

The other two cube roots of -64 are a pair of complex conjugates.
I'm too lazy to calculate them right now, and you didn't ask for them
anyway.


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gtnhenbr [62]

Step-by-step explanation:

To find the radius of the sphere we must convert the inches to centimeters

Using the conversation

1 inch = 2.54 cm

If 1 inch = 2.54 cm

4.17 inch = 2.54 × 4.17 = 10.59 cm

<h2>a).</h2>

We can find the radius using the formula

radius =  \frac{diameter}{2}

From the question

diameter = 10.59 cm

So we have

radius =  \frac{10.59}{2}

<h3>radius = 5.30 cm</h3>

<h2>b).</h2>

Surface area of a sphere= 4πr²

where

r is the radius

Surface area = 4(5.30)²π

= 112.36π

= 352.989

We have the answer as

<h3>Surface area = 353 cm²</h3>

<h2>c).</h2>

Volume of a sphere is given by

\frac{4}{3} \pi  {r}^{3}

r = 5.30

The volume of the sphere is

\frac{4}{3} ( {5.30})^{3} \pi

= 623.61451

We have the answer as

<h2>Volume = 623.6 cm³</h2>

Hope this helps you

3 0
3 years ago
Researchers investigated the possible beneficial effect on heart health of drinking black tea and whether adding milk to the tea
Elanso [62]

Answer:

(a)  It is an experiment.

(b) Group III has been tested to compare the effect of tea

Step-by-step explanation:

24 volunteers are randomly selected to one of the three groups.

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At the end of the month, the researchers measured the change in each of the participant's heart health.

The average change of health status of three Groups can be measured and let it be X1', X2' and X3'. We can set up the hypothesis of no difference of heart health i.e H0 : µ1 = µ2 = µ3 against the alternative hypothesis that they are not equal. As the sample size is less than 30, we can use t-statistic.

Under the above logic, (a) it is an experiment.

(b) Group III has been tested to compare the effect of tea or to have comparison between GroupI and Group III.

4 0
3 years ago
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zaharov [31]

Answer:

4d+24

Step-by-step explanation:

The distributive property says that 4(d+6)=4d+(4)(6)

which simplifies to 4d+24

(I hope that's what you needed, please lmk if you needed more than just simplifying.)

5 0
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