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3 years ago

If you write 14 to the 6 power in expanded form, how many factor will there be?

Mathematics

2 answers:

Eddi Din [679]3 years ago

7 0

Answer:

Step-by-step explanation:

The expanded form of 14 to the power 6 can be written as follows

$14^{6}= 2^{6}\times 7^6$

since 2 and 7 are prime numbers hence they can not be broken down into smaller factors.

now according the rule of finding factors

total number of factor= (a+1)*(b+1)

where a and b are powers of the prime factors

therefore, total number of factor= (6+1)*(6+1)= 7*7= 49

shepuryov [24]3 years ago

6 0

14 to the 6th power is 7,529,536. There are zero factors.

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Work out 3/5 of 900

Mars2501 [29]

Answer:

540

Step-by-step explanation:

1. We assume, that the number 900 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 900 is 100%, so we can write it down as 900=100%.

4. We know, that x is 3.5% of the output value, so we can write it down as x=3.5%.

5. Now we have two simple equations:

1) 900=100%

2) x=3.5%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

900/x=100%/3.5%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 3.5% of 900

900/x=100/3.5

(900/x)*x=(100/3.5)*x - we multiply both sides of the equation by x

900=28.571428571429*x - we divide both sides of the equation by (28.571428571429) to get x

900/28.571428571429=x

31.5=x

x=31.5

now we have:

3.5% of 900=31.5

3 0

3 years ago

Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare.

TEA [102]

Answer:

$9.00

Step-by-step explanation:

0.75 times 12 equals 9

3 0

3 years ago

Read 2 more answers

Find all values of x such that <img src="https://tex.z-dn.net/?f=%5Csqrt%7B4x%5E2%7D%20-%5Csqrt%7Bx%5E2%7D%3D%206" id="TexFormul

tester [92]

There are two answers.
6 and -6

3 0

3 years ago

Find the quotient 115.338 ÷ 2.82

MaRussiya [10]

Answer:

The quotient is 40.9

6 0

3 years ago

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 201.9-cm and a standard dev

Nesterboy [21]

Answer:

There is a 0.08% probability that the average length of a randomly selected bundle of steel rods is greater than 204.1-cm.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 201.9-cm and a standard deviation of 2.1-cm. This means that $\mu = 201.9, \sigma = 2.1$ .

For shipment, 9 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is greater than 204.1-cm.

By the Central Limit Theorem, since we are using the mean of the sample, we have to use the standard deviation of the sample in the Z formula. That is:

$s = \frac{\sigma}{\sqrt{n}} = \frac{2.1}{\sqrt{9}} = 0.7$

This probability is 1 subtracted by the pvalue of Z when $X = 204.1$ .

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

$Z = \frac{204.1 - 201.9}{0.7}$

$Z = 3.14$

$Z = 3.14$ has a pvalue of 0.9992. This means that there is a 1-0.9992 = 0.0008 = 0.08% probability that the average length of a randomly selected bundle of steel rods is greater than 204.1-cm.

3 0

3 years ago