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fenix001 [56]
3 years ago
6

5C%3A%20b%29%20%7B%7D%5E%7B3%7D%20%20%3D%20%20%7B%3F%7D%20" id="TexFormula1" title=" \: \: solve \: \\ \\ (a \: + \: b) {}^{3} = {?} " alt=" \: \: solve \: \\ \\ (a \: + \: b) {}^{3} = {?} " align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
pshichka [43]3 years ago
6 0

Answer:

\huge\boxed{Answer\hookleftarrow}

(a + b) {}^{3}  \\  =  (a + b)  \times (a + b) {}^{2}  \\   = (a + b)(a {}^{2}  + 2ab + b {}^{2} ) \\  = a(a {}^{2}  + 2ab + b {}^{2} ) + b(a {}^{2}  + 2ab + b {}^{2} ) \\  = a {}^{3}  + 2a {}^{2} b + ab {}^{2}  + ba {}^{2} + 2ab {}^{2}  + b {}^{3}  \\  = a {}^{3}  + 3a {}^{2} b + 3ab {}^{2}  + b {}^{3}

✐<u> (a + b)³ = a³ + 3a²b + 3ab² + b³</u>

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Ivahew [28]3 years ago
5 0

Step-by-step explanation:

  • (a+b)³

=a³+3a²b+3ab²+b³

hope it is helpful to you

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Which table shows the same relationship as y = -x^2 + 3x?
kkurt [141]

Answer:

H

Step-by-step explanation:

given y = -x² + 3x.

let f(x) be y.

f(-2) = -(-2)² + 3(-2) = -10

f(-1) = -(-1)² + 3(-1) = -4

f(0) = -(0)² + 3(0) = 0

f(1) = -(1)² + 3(1) = 2

f(2) = -(2)² + 3(2) = 2

8 0
2 years ago
I need to know the of the blue line
8_murik_8 [283]

Step-by-step explanation:

if i pick (3,4) and (6,10)

the formula for gradient is difference in y divided by difference in x . therefore

10-4 divided by 6 - 3 equals to 6 divided by 3 = 2

the gradient is 2

8 0
1 year ago
Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i
Nina [5.8K]

Answer:

z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358    

p_v =2*P(Z>5.358) = 4.2x10^{-8}  

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.  

Step-by-step explanation:

Data given and notation  

X_{1}=253 represent the number with no defects in sample 1

X_{2}=196 represent the number with no defects in sample 1

n_{1}=300 sample 1

n_{2}=300 sample 2

p_{1}=\frac{253}{300}=0.843 represent the proportion of number with no defects in sample 1

p_{2}=\frac{196}{300}=0.653 represent the proportion of number with no defects in sample 2

z would represent the statistic (variable of interest)  

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

\alpha=0.05 significance level given

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if is there is a difference in the the two proportions, the system of hypothesis would be:  

Null hypothesis:p_{1} - p_2}=0  

Alternative hypothesis:p_{1} - p_{2} \neq 0  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{253+196}{300+300}=0.748  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

Calculate the statistic  

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358    

Statistical decision

Since is a two sided test the p value would be:  

p_v =2*P(Z>5.358) = 4.2x10^{-8}  

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.  

5 0
3 years ago
1. <br><br>(06.01 LC)<br><br>3^4 + 2 ⋅ 5 = <br><br>. (Input whole numbers only.)
Serhud [2]

Answer:

91

Step-by-step explanation:

Because the equation is equal to 91

8 0
3 years ago
Read 2 more answers
What is the slope of the line represented by the equation y = -1/2x + 1/4?
Murrr4er [49]

Answer:

<em>m=-1/2</em>

Step-by-step explanation:

The equation is in y=mx+b form. M is the slope. In this equation, -1/2 is m.

Therefore the slope is -1/2.

7 0
3 years ago
Read 2 more answers
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