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Ne4ueva [31]
4 years ago
10

Find small changes in cube's volume when its side increses from 10 cm to 10.1 cm

Mathematics
2 answers:
garik1379 [7]4 years ago
7 0

Answer:

1030 cm^3 (1030.30 cm^3)

Step-by-step explanation:

The volume of a cube is a side length cubed (x^3).

If you have a side of 10 cm (10^3 = 1000) the volume would be 1000 cm^3. To find the volume of a cube with side lengths 10.1 cm, use the formula x^3.

10.1^3 --> (10.1)(10.1)(10.1) = 1030.301

The cube would be 1030.30 cm^3, or if rounded to the nearest whole number 1030 cm^3.

34kurt4 years ago
6 0

Answer: change is 30.301 cm^3

Step-by-step explanation:

Volume of cube when side is 10 cm =

10^{3} = 1000 cm^{3} \\volume when side is 10.1 cm \\10.1^{3} = 1030.301 cm^{3} \\\\Increase in volume = 1030.301-1000=  30.301

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Answer:

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Step-by-step explanation:

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r = \frac{S_{xy} }{\sqrt{S_{xx} S_{yy} }} }

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r = \frac{7408.225}{\sqrt{2648130.357*36.7376} }

r = 0.7511

b)

i) formula for the test statistic is given by the formula:

t = \frac{r\sqrt{n-1} }{\sqrt{1 - r^{2} } }

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t = \frac{0.7511\sqrt{14-1} }{\sqrt{1 - 0.7511^{2} } }

t = 4.102

ii) Degree of freedom, df = n -2

df = 14 -2

df = 12

The P-value is calculate from the degree of freedom and the test statistic using excel

P-value =(=TDIST(t,df,tail))

P-value = (=TDIST(4.1,12,1)

P-value = 0.000736

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3 years ago
HELP How do I do this?
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3 years ago
What is the value of this limit?
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Vector a = 4i + 5j<br><br>Vector b = 3i + 6j<br><br>Find the dot product.
umka21 [38]

Step-by-step explanation:

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Lerok [7]

Answer:

Step-by-step explanation:

x + y = -20......multiply by -6

6x - 5y = -20

-----------------

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