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shutvik [7]
3 years ago
6

The side length, s, of a cube is 4x^2+3. If V=s^3, what is the volume of the cube?

Mathematics
1 answer:
sweet [91]3 years ago
7 0

The volume of the cube is (4x^{2} +3)(4x^{2} +3)(4x^{2} +3).


To simplify this, use the FOIL method between the first two terms, and then the product and the last term:

(4x^{2} +3)(4x^{2} +3)(4x^{2} +3)\\(16x^{4}+12x^{2}  +12x^{2} +9)(4x^{2} +3)\\(16x^{4}+24x^{2} +9)(4x^{2} +3)\\(64x^{6}+48x^{4} +96x^{4}+72x^{2}  +36x^{2}+27)\\ 64x^{6}+144x^{4}+108x^{2} +27


The answer is the first choice.


Hope this helps!!

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Factorise 18a³b³- 27a²b³ +36a³b²​
irinina [24]

Answer:

(9a^2b^2(2ab - 3b + 4a).

Step-by-step explanation:

Take out the GCF.

The GCF is 9a^2b^2 so the factors are

(9a^2b^2(2ab - 3b + 4a).

3 0
3 years ago
Can someone please help?
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5 0
3 years ago
B=2/3(H+5) Solve for H Thank you :)
kenny6666 [7]

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Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
The average cost of living for a family of four in twelve different cities was found to be $65,351 with a standard deviation of
Andrej [43]

Answer:

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

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Standard deviation r = $7,711

Number of samples n = 12

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z(at 90% confidence) = 1.645

Substituting the values we have;

$65,351+/-1.645($7,711/√12)

$65,351+/-1.645($2,225.973962860)

$65,351+/-$3661.727168905

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

6 0
3 years ago
Is this relation a function? EXPLAIN WHY OR WHY NOT
olga_2 [115]

This relation is a function, because you are assigning one y-value to each x-value. In other words, you can perform the vertical line test: you can see that every vertical line crosses the graph at most once.

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