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3 years ago

What pattern do you see in the powers of 4?

Mathematics

2 answers:

Nesterboy [21]3 years ago

7 0

The correct answer is:

The ones digit repeats from 4 to 6 over and over.

Explanation:

4 to the first power is 4.

4 to the second power is 16.

4 to the third power is 64; again the 4 in the ones digit repeats.

4 to the fourth power is 256; again the 6 in the ones digit repeats.

This pattern continues.

Studentka2010 [4]3 years ago

4 0

Pattern did the power of 4 shows:
Let’s have an example of the power of 4
=> 4 will be multiplied 4 times
=> 4 x 4 = 16
=> 16 x 4 = 64
=> 64 x 4 = 256
=> 256 x 4 = 1024
=> 1024 x 4 = 4096
=> 4096 x 4 = 16384
………………..

Did you notice the pattern? The last number of each answer always ends up with 4 and followed by 6.

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A savings account with $500 now has $120.

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Answer:

They spent 380.

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3 years ago

Which of the following equations is the translation 2 units left of the graph of y = |x|?

nignag [31]

Answer:

The correct option is 1.

Step-by-step explanation:

The given function is

$y=|x|$

It is an absolute function. The transformation of function is defined as

$y=|x+a|+b$

Where, a is horizontal shift and b is vertical shift.

If a>0, then graph shifts a units left, if a<0, then graph shifts a units right.

If b>0, then graph shifts b units up, if b<0, then graph shifts b units down.

If is given that the graph translate 2 units left. Therefore the value of a is 2 and the value of b is 0.

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$y=|x+2|+0$

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Therefore the correct option is 1.

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3 years ago

Nathaniel bought headphones online for $22. He used a coupon code to get a 40% discount. The website also applied a 10% processi

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Answer:

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2 years ago

A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive fewer than three compl

True [87]

Answer:

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

Step-by-step explanation:

We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

A service center receives an average of 0.6 customer complaints per hour.

This means that $\mu = 0.6h$ , in which h is the number of hours.

Determine the probability that exactly four complaints will be received during the next eight hours.

8 hours means that $h = 8, \mu = 0.6(8) = 4.8$ .

The probability is P(X = 4).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 4) = \frac{e^{-4.8}*4.8^{4}}{(4)!} = 0.18203$

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

5 0

3 years ago

Can you help me with this problem please

Over [174]

Remark

I think you want us to do both 3 and 4

Three

QR is 4 points going left from the y axis + 2 points going right from the y axis.

QR = 6 units long.

RT is 4 units above the x axis and 3 units below the x axis

RT = 7 units long

TS = 3 units. For this one you just go from T to S. The graph really helps you. You just need to count.

Problem 4

You need to find the area of the combined figure. You could do it as a trapezoid, which might be the easiest way. I'll do that first.

Area = (b1 + b2)*h/2

Givens

B1 = QR = 6

B2 = UT + TS = 6 + 3 = 9

h = RT = 7

Area

Area = (6 + 9)*7/2

Area = 15 * 7 / 2

Area = 52.5

Comment

You could break this up into a rectangle + a triangle

Find the area of QRTU and add the Area of triangle RTS

Area of the rectangle = L * W

L = RT = 7

W = QR = 6

Area = 7 *6 = 42

Area of the triangle = 1/2 * B * H

B = TS = 3

H = RT =7

Area = 1/2 * 3 * 7

Area = 1/2 * 21

Area = 10.5

Total Area = 42 + 10.5 = 52.5 Both answers agree.

3 0

3 years ago