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Amiraneli [1.4K]
3 years ago
10

What is the diameter of a sphere with volume of 7483

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
5 0

Answer:

The diameter of the sphere with the given volume is 24.268 units

Step-by-step explanation:

Volume of a sphere is given by the equation:

V=4/3\pi r^3

Plug in your volume and solve for r

7483=4/3\pi r^3

7483(3/4)=\pi r^3

5612.25=\pi r^3

5612.25/\pi =r^3

1786.43=r^3

\sqrt[3]{1786.43}=r

r = 12.134 units

d = 2r

d = 2(12.134)

d = 24.268 units

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Step-by-step explanation:

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r3t40
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Simplify.<br> Rewrite the expression in the form 4^n<br> (4^6)(4^-8) =
stiks02 [169]

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  4^-2

Step-by-step explanation:

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This means ...

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3 years ago
Rita drank the following ounces of milk during the last week
Andre45 [30]

Answer:

Mean = 14.14

Mode = 14

Median = 14

Range = 16

Step-by-step explanation:

Given Data Set : 18 , 14 , 10 , 22, 14 , 15 and 6

Identifying the mean

Mean = Sum of given data values / total # of given values

Here sum of given data values = 18 + 14 + 10 + 22 + 14 + 15 + 6 = 99

And there are 7 given data values

So mean = 99 / 7 =

14.14

( approximately )

Identifying the mode

The mode is the number that appears most often

14 appears twice, which is the most times out of any other value

Hence, the mode is

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Identifying the median

The median is the middle number in terms of value

To make this easier, its best to order the given values from least to greatest
Doing so we acquire 6 , 10 , 14 , 14 , 15 , 18 , 22

Then you go to the middle of the listed terms.

Doing so we would end up with 14 being in the middle

Hence the median is

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Identifying the range

Range = largest given value - smallest given value

Here the most rita drank was 22 ounces and the least amount of milk she drank was 6 ounces

So the range would be 22 - 6 =

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And we are done!

3 0
2 years ago
Extension: Suppose that there is some positive number bb so that<br> logb(5) = 0.84.
Papessa [141]

Answer:

b = 6.79

Step-by-step explanation:

Data provided:

logb(5) = 0.84

Now,

From the properties of log function

logₓ (z)= \frac{\log(z)}{\log(x)}  (where the base of the log is equal for both numerator and the denominator)

also,

log(xⁿ) = n × log(x)

thus,

using the above properties, we can deduce the results as:

logₓ(y) = n is equivalent to y = xⁿ

Thus,

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⇒ \frac{\log(5)}{\log(b)} = 0.84

or

log(5) = 0.84 × log(b)

or

log(5) = \log(b^{0.84})                (as log(xⁿ) = n × log(x) )

taking the anti-log both sides

we get

5 = b^{0.84}

or

b = 6.79

8 0
4 years ago
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