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xz_007 [3.2K]
3 years ago
5

Each small cube is 1 cm3. The length of the large cube is 12 cm. What is the volume of the large cube? A. 24 cm3 B. 144 cm3 C. 8

64 cm3 D. 1,728 cm3
Mathematics
2 answers:
mafiozo [28]3 years ago
7 0

Answer:

d

Step-by-step explanation:

Delicious77 [7]3 years ago
4 0
The answer to your question is   D. 1,728
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Bring the fraction: b/7a^2c to a denominator of 35a^3c^3
Rina8888 [55]

Answer:

5abc^2/35a^3c^3

Step-by-step explanation:

To bring the fraction: b/7a^2c to a denominator of 35a^3c^3, find the dividend when the 35a^3c^3 is divided by 7a^2c

=35a^3c^3/ 7a^2c

Recall that

a^x/a^y = a^x-y

Hence

35a^3c^3/ 7a^2c = 5a^3-2c^3-1

= 5ac^2

Now multiply the numerator and denominator by the result

b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2)

Recall that

a^x * a^y = a^x+y

Hence

b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2) = 5abc^2/35a^3c^3

7 0
3 years ago
Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the populati
IrinaK [193]

Answer:

1. The minimum head breadth that will fit the clientele is of 3.95-in.

2. The maximum head breadth that will fit the clientele is of 9.25-in.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 6.6-in and a standard deviation of 1.1-in.

This means that \mu = 6.6, \sigma = 1.1

1. What is the minimum head breadth that will fit the clientele?

The 0.8th percentile, which is X when Z has a p-value of 0.008, so X when Z = -2.41.

Z = \frac{X - \mu}{\sigma}

-2.41 = \frac{X - 6.6}{1.1}

X - 6.6 = -2.41*1.1

X = 3.95

The minimum head breadth that will fit the clientele is of 3.95-in.

2. What is the maximum head breadth that will fit the clientele?

The 100 - 0.8 = 99.2nd percentile, which is X when Z has a p-value of 0.992, so X when Z = 2.41.

Z = \frac{X - \mu}{\sigma}

2.41 = \frac{X - 6.6}{1.1}

X - 6.6 = 2.41*1.1

X = 9.25

The maximum head breadth that will fit the clientele is of 9.25-in.

8 0
2 years ago
Fifty-six is eight less than twice what number
OverLord2011 [107]
It is twice the number 32
7 0
3 years ago
Read 2 more answers
Prove that \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta}
Bogdan [553]

Answer:

sin^2(θ)+cos^2(θ)=1

Step-by-step explanation:

We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.

To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ

Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.

Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.

7 0
2 years ago
You've saved up $97 to buy a new guitar. The guitar you want costs $125. Write an inequality.
Allushta [10]

Answer:

97 - is less than 125      Or 97 + x = 125

Step-by-step explanation:

Hope this helps! If it does, please mark me brainliest! Thank you! ;)

7 0
3 years ago
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