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vesna_86 [32]
3 years ago
11

A cube has side length a.The side lengths are decreased to 30% of their original size.Write an expression in simplest form for t

he volume of the cube in terms of a.
Mathematics
1 answer:
jeka943 years ago
5 0

Answer:

Volume V = 0.027a^3

Step-by-step explanation:

Let a represent the length of the side length of the cube.

a.The side lengths are decreased to 30% of their original size;

l = 30% of a

l = 0.3a .....1

The volume of a cube can be expressed as;

V = l × l × l

V = l^3 .......2

Where;

l = side length

Substituting the value of l into equation 2;

V = l^3 = (0.3a)^3

V = 0.027a^3

Volume V = 0.027a^3

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In a community garden​ (shown to the​ right) you want to plant and fence in a vegetable garden that is adjacent to your​ friend'
marusya05 [52]

Answer:   11 x 13 feet

Step-by-step explanation:

Normally, a question such as this allows one to assume that the wall on the neighbor's garden will also serve as a wall on our garden, but the sentence ". . . and the fence must surround all four sides . . ." leads to the conclusion that the 48 feet must include the side next to the neighbor.  That's waht tis assumes.

The diagram shows a rectangle, so the neighbor's length of 11 feet must be the same on the opposite side.  That leaves (48 - 22) = 26 feet for the two sides.  26/2 = 13 feet each side.  This leads to a garden dimesion of 11 x 13 feet.

7 0
3 years ago
Whats the answer for this??
aniked [119]

Step-by-step explanation:

what do you mean "what's the answer for this ?"

you only need to put 3 in place of x (that's what is meant by "x is 3" or x = 3) and then simply calculate.

you know what "squaring" ("something to the power of 2" or x²) means ? it means that you have to multiply that "something" by itself.

y = 3² + 11 = 3×3 + 11 = 9 + 11 = 20

that's all there is to this.

3 0
3 years ago
The dot plot below shows 4 data points with a mean of 6.
Nuetrik [128]

Answer:

The answer is A) -8

Step-by-step explanation:

have a nice day

6 0
2 years ago
A researcher records the number of buckets of popcorn purchased by patrons during one night at the movies. She finds that the pr
joja [24]

Answer:

X         0          1            2         3  

P(X)    0.27    0.51     0.17     0.05

E(X) = \sum_{i=1}^n X_i P(X_i)

And replacing we got:

E(X) = 0*0.27+ 1*0.51 +2*0.17 +3*0.05= 1

Step-by-step explanation:

Let X the random variable that represent "the number of buckets of popcorn purchased by patrons during one night at the movies"

And we have the following distribution for X

X         0          1            2         3  

P(X)    0.27    0.51     0.17     0.05

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.  

For this case we can calculate the expected value with the following formula:

E(X) = \sum_{i=1}^n X_i P(X_i)

And replacing we got:

E(X) = 0*0.27+ 1*0.51 +2*0.17 +3*0.05= 1

3 0
4 years ago
Ava buys a carousel that is 80% off, if Ava pays $36 what was the original price
dmitriy555 [2]
$45 hope this helps you
6 0
4 years ago
Read 2 more answers
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