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lora16 [44]
2 years ago
10

Quick Question! Please help!

Mathematics
2 answers:
alisha [4.7K]2 years ago
6 0

When the power on a variable inside the bracket becomes the same the powers are added.

Have a look at the attachment.

8090 [49]2 years ago
3 0

Answer:

C --- b^16

Step-by-step explanation:

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Witch of the following Represents the distance between 4/3 and 1/3
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Answer:

1

Step-by-step explanation:

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50 POINTS!!! Plz show work questions are in the addon
emmasim [6.3K]

1. Each term in this polynomial has a common factor of 3x^3:

12x^6-9x^4+18x^3=3x^3(4x^3-3x+6)

2. Not sure what the "vertical method" is, but I would guess it refers to some way of visualizing the distributive property.

(3x-5)(2x^2+7x-3)=3x(2x^2+7x-3)-5(2x^2+7x-3)

(3x-5)(2x^2+7x-3)=(6x^3+21x^2-9x)+(-10x^2-35x+15)

(3x-5)(2x^2+7x-3)=6x^3+11x^2-44x+15

3. You can use the same approach as in (2), or recall that (a+b)^2=a^2+2ab+b^2:

(5x-4y)^2=(5x)^2+2(5x)(-4y)+(-4y)^2

(5x-4y)^2=25x^2-40xy+16y^2

4. Recall that a difference of squares can be factored as a^2-b^2=(a-b)(a+b). So

(2x^2-7)(2x^2+7)=(2x^2)^2-7^2

(2x^2-7)(2x^2+7)=4x^4-49

7 0
3 years ago
Sally identified the terms of the expression 9a + 4b - 18 as 9, 4, and 18. Explain her error.
nordsb [41]

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable (a letter), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

So the terms are 9a, 4b, and 18.

hope it helps!

3 0
3 years ago
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A dog walking service charges a $19 one-time fee, plus $40 per week. The
rusak2 [61]

Answer:

Kevin's estimate is incorrect. When x=4, the value of y is $116, which is not close to

$180.

Step-by-step explanation:

7 0
3 years ago
A sample of 26 offshore oil workers took part in a simulated escape exercise, and their escape time (unit: second) were observed
Anuta_ua [19.1K]

Answer:

t=\frac{370.69-360}{\frac{24.36}{\sqrt{26}}}=2.238  

The degrees of freedom are given by:

df = n-1= 26-1=25

And the p value would be:

p_v =P(t_{25}>2.238)=0.0172  

If we use a 5% of significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 360 second or 6 minutes. We need to be careful since if we use a significance level of 1% the result change

Step-by-step explanation:

Information given

\bar X=370.69 represent the sample mean

s=24.36 represent the sample standard deviation

n=26 sample size  

\mu_o =6*60 =360 s represent the value to verify

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to check if the true mean is at most 360 seconds, the system of hypothesis would be:  

Null hypothesis:\mu \leq 360  

Alternative hypothesis:\mu > 360  

The statistic for this case would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

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

t=\frac{370.69-360}{\frac{24.36}{\sqrt{26}}}=2.238  

The degrees of freedom are given by:

df = n-1= 26-1=25

And the p value would be:

p_v =P(t_{25}>2.238)=0.0172  

If we use a 5% of significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 360 second or 6 minutes. We need to be careful since if we use a significance level of 1% the result change

4 0
3 years ago
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