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3 years ago

Which expression is equivalent to the given expression?

Mathematics

2 answers:

mezya [45]3 years ago

7 0

<u>Choice C. </u><u>is equivalent.</u>

Let's first simplify, starting with the denominator.

a to the power of 0 is 1. —> any value to the power of 0 is 1.

That leaves us with <u>(</u>1b^2)^4. Now we can distribute the exponent. But before that, let's get rid of the coefficient 1, which isn't necessary.

Now we are left with (b^2)^4.

Let's use the power of the power rule, which means that we multiply the exponent by the exponent. The denominator is now b^8.

Looking at the numerator, there is a b, which has a hidden exponent of one. —> We can get rid of it by taking away its exponent of 1 with the b^8 from the denomiator.

. . . b^1 goes away, and b^8 becomes b^7.

<u>We cannot simplify any further,</u> therefore the final expression is. . .

Masja [62]3 years ago

3 0

Step-by-step explanation:

$( \frac{6ab}{(a {}^{0} {b}^{2} ) {}^{4} } ) \\ \\ =( \frac{6ab}{1 \times {b}^{8} } ) \\ \\ = \frac{6a}{ {b}^{7} }$

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Suppose that your business is operating at the 4.5-Sigma quality level. If projects have an average improvement rate of 50% annu

Luda [366]

Answer:

11.75 years

Step-by-step explanation:

If we ignore the fact that "6-sigma" quality means the error rate corresponds to about -4.5σ (3.4 ppm) and simply go with ...

P(z ≤ -6) ≈ 9.86588×10^-10

and

P(z ≤ -4.5) ≈ 3.39767×10^-6

the ratio of these error rates is about 0.000290372. We're multiplying the error rate by 0.5 each year, so we want to find the power of 0.50 that gives this value:

0.50^t = 0.000290372

t·log(0.50) = log(0.00290372) . . . . take logarithms

t = log(0.000290372)/log(0.50) ≈ -3.537045/-0.301030

t ≈ 11.75

It will take about 11.75 years to achieve Six Sigma quality (0.99 ppb error rate).

_____

<em>Comment on Six Sigma</em>

A 3.4 ppm error rate is customarily associated with "Six Sigma" quality. It assumes that the process may have an offset from the mean of up to 1.5 sigma, so the "six sigma" error rate is P(z ≤ (1.5 -6)) = P(z ≤ -4.5) ≈ 3.4·10^-6.

Using that same criteria for the "4.5-Sigma" quality level, we find that error rate to be P(z ≤ (1.5 -4.5)) = P(z ≤ -3) ≈ 1.35·10^-3.

Then the improvement ratio needs to be only 0.00251699, and it will take only about ...

t ≈ log(0.00251699)/log(0.5) ≈ 8.6 . . . . years

5 0

3 years ago

Factor by grouping 20p³+15p²+24p+18

ivolga24 [154]

(4p +3)(5p2 + 6) is your answer

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3 years ago

What is the skipping sequence of 90,92,__,__,99,__

DaniilM [7]

that is not possible cause the first 2 indicate that the pattern is counting by 2s

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3 years ago

Use the function f(x) = x2 − 2x 8 and the graph of g(x) to determine the difference between the maximum value of g(x) and the mi

slamgirl [31]

The difference between the maximum value of g(x) and the minimum value of f(x) is 5.

Given function is:

$f(x)=x^{2} -2x+8$ ......(1)

<h3>What is the general form of a quadratic equation?</h3>

The general form of a quadratic equation is $ax^{2} +bx+c=0$ with $a\neq 0$ .

As we know the minimum value of a quadratic function is $\frac{4ac-b^{2} }{4a}$ when a>0

For f(x) a>0 so minimum value of f(x) = $\frac{4*1*8-(-2)^2}{4*1}$ =7

From the graph, the maximum value of g(x) =12

So, the difference between the maximum value of g(x) and the minimum value of f(x) =12-7 =5

Hence, the difference between the maximum value of g(x) and the minimum value of f(x) is 5.

To get more about quadratic functions visit:

brainly.com/question/1214333

6 0

2 years ago

PLEASE HELP could this be 110, maybe?? I've tried both 40 and 100 already.

Firdavs [7]

180-70-30=80
The answer is 80
The two triangles are the same.
Corresponding angles of congruent triangles are equal.
A triangle's three angles add up to 180 degrees.

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to the given expression?​

Which expression is equivalent to the given expression?