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Naddik [55]
3 years ago
13

Which is the side length of a cube with a volume of 125 m3?

Mathematics
1 answer:
Romashka [77]3 years ago
3 0
The formula for the volume of a cube is:

V = a^3

Plug in what we know:

125 = a^3

Cube the other side:

a = \sqrt[3]{125}
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What the algebraic rule for a dilation with a scale factor of 3
Marianna [84]

Step-by-step explanation & answer:

When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor.

For example, if the scale factor is "k", the algebraic representation of the dilation is

(x, y) → (kx, ky)

For enlargements, k > 1 and for reductions, k < 1.

Hope this is what you needed:)

7 0
3 years ago
The first three terms of a geometric sequence are
Lisa [10]

Answer:

a4 = 128

a5 = -512

Step-by-step explanation:

a1= -2

q= (-1)^(n+1) × 4

a4 = a1q³ = (-2) (-4)³ = -2 × -64 = +128

a5 = a1q⁴ = (-2) (-4)⁴ = -2 × 256 = -512

3 0
2 years ago
A Hot air balloon can hold 90,000 cubic feet of air. It is being inflated at a rate of 6,000 cubic feet per minute . The total c
mojhsa [17]

\bf \stackrel{\textit{cubic feet of air}}{\stackrel{\textit{dependent}}{a(t)}}\qquad \stackrel{\stackrel{\textit{time in minutes}}{independent}}{t}~\hspace{7em}a(t)=6000t


the "t" variable is independent, namely it can change values "freely", and a(t) is dependent, because it depends on those values on "t" to get its own value.

if we make a table of values for minutes, we know the balloon is inflating at 6000 ft³ each passing minute.

1 minute......................... 6000(1) ft³

2 minutes......................6000(2) ft³

3 minutes......................6000(3) ft³

4 minutes......................6000(4) ft³

t minutes......................6000(t) ft³


before getting in the domain and range, let's find out how much air after 6 minutes.

a(6) = 6000(6)

a(6) = 36000 ft³.


now, what domain, namely values for "t" make sense?

well, we know the balloon can only hold up to 90000 ft³, and on every passing minute is filling up by 6000 ft³, after how many minutes will it be filled up?

90000/6000 = 15, after 15 minutes.

so at 0 minutes, t = 0, the balloon is empty, and 15 minutes later, t = 15, the balloon is filled up, [ 0 , 15 ].


what values for the range, namely a(t), makes sense?

well, we know when the balloon is empty is holding 0 ft³, and when is full it has 90000 ft³, [0 , 90000].

5 0
3 years ago
Explain why there is a discrepancy between them if there is any?
vredina [299]
This is not a complete question i cannot help.... Sorry about that! If you would like to revise the question i would be happy to help.
5 0
3 years ago
Solve for y in terms of x: 3y-2x=7
Alenkasestr [34]

Answer will be: y=7/3+2x/3

7 0
3 years ago
Read 2 more answers
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