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My name is Ann [436]
3 years ago
14

Which statement shows the correct value for the exponential expression 6^3?

Mathematics
2 answers:
Basile [38]3 years ago
4 0
B, it would be 6x6x6. :)
brilliants [131]3 years ago
3 0
B is the correct answer
The exponent means how many times your multiplying the number to the power of set exponent
So 6^3 is 6x6x6
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-3(X - 8) - (x + 5) - 23
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The two rectangular prisms are similar. What is the volume of the larger rectangular prism? 240 cm³ 540 cm³ 1620 cm³ 3240 cm³ A
Andreas93 [3]

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

<h3>How to calculate volume of a rectangular prism?</h3>

If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as

V = a \times b \times c \: \rm unit^3

<h3>What are similar figures?</h3>

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and  c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

15 \times 3 \times b \times 3 \times c = 135 \times  b\times c = 135 \times 12 = 1620 \: \rm cm^3

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

Learn more about volume of rectangular prism here:

brainly.com/question/21308574

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The maths question for algebra is
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Step-by-step explanation:

Let (2n +1) be the larger odd number by definition, where n can be any real integer. Then (2n - 1) is the smaller consecutive odd number.

The product of the 2 odd numbers is (2n + 1)(2n - 1) = 4n^2 - 1 = 2(2n^2) - 1. Since n^2 must be an integer, 2(2n^2) - 1 is odd. (Shown)

4 0
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