You have a square piece of paper. Where do you cut it to make a regular octagon?

Is the function even, odd or neither?<br> y=x^2-2x-8

mestny [16]

It is neither.

To be even, f(x) must equal f(-x).

If you substitute -x for x, you'd get

y = (-x)^2 - 2(-x) -8

y = x^2 +2x -8

This is not the same as the original, so this is not even.

To be odd, f(x) must equal -f(-x).

If you take the -x substitution from the last step and then multiply it by -1, you'd have:

y = -1 (x^2 +2x -8)

y = -x^2 -2x +8

This is not the same as the original either.

The function is neither even nor odd.

5 0

2 years ago

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My brothers and sisters i need help asap please

Otrada [13]

Answer:

Step-by-step explanation:

I think it is D but I am not sure

4 0

3 years ago

Can someone please help me figure out how to do this problem. We have tried several different ways and none of them come up as b

Ilya [14]

Answer:

74

Step-by-step explanation:

Order of operations: PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)

5(9)+2(6) ÷ 3 + $5^{2}$

= 45+12÷ 3 +25

=45+4+25

=74

8 0

3 years ago

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Which line shows theINITIAL error in volume work?

aliina [53]

In step 2, V = $\frac{4}{3}(3.14)(37.5)$ show the error in volume work.

Solution:

Given data:

The steps shows it is sphere.

Radius of the sphere = 12.5

The value of π = 3.14

Volume of the sphere = $\frac{4}{3} \pi r^3$

Step 1:

$$V=\frac{4}{3} (3.14)(12.5)^3$

$$V=\frac{4}{3} (3.14)(12.5)(12.5)(12.5)$

Step 2:

$$V=\frac{4}{3} (3.14)(1953.125)$

Step 3:

$$V=\frac{4}{3} (6132.81)$

Step 4:

V = 8177.08 cubic units

This is the correct solution.

But in the given options, in step 2, 12.5 is multiplied by 3.

That is not the correct step. You have to do 12.5 × 12.5 × 12.5.

Hence in step 2, V = $\frac{4}{3}(3.14)(37.5)$ show the error in volume work.

7 0

3 years ago

The sales of a grocery store had an average of $8,000 per day. The store introduced several advertising campaigns in order to in

oksano4ka [1.4K]

Answer:

Null hypothesis: $\mu \leq 8000$

Alternative hypothesis: $\mu > 8000$

$z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2$

$p_v =P(Z>2)=0.0228$

Step-by-step explanation:

1) Data given and notation

$\bar X=8300$ represent the sample mean

$\sigma=1200$ represent the population standard deviation

$n=64$ sample size

$\mu_o =800$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 8000, the system of hypothesis are :

Null hypothesis: $\mu \leq 8000$

Alternative hypothesis: $\mu > 8000$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

3) Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2$

4) P-value

Since is a one-side upper test the p value would given by:

$p_v =P(Z>2)=0.0228$

5) Conclusion

If we compare the p value and the significance level assumed, for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly higher than $8000.

4 0

3 years ago