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stiks02 [169]
3 years ago
15

Find the cube root of 27d3 + 54a2b + 36ab2 + 8b3​

Mathematics
1 answer:
enot [183]3 years ago
8 0

Answer:

 (3a + 2b)3

Step-by-step explanation:

STEP 1  :

Equation at the end of step 1

 (((27•(a3))+((54•(a2))•b))+(36a•(b2)))+23b3

Step 2:

(((27•(a3))+((54•(a2))•b))+(22•32ab2))+23b3

Step 3:

(((27•(a3))+((2•33a2)•b))+(22•32ab2))+23b3

Step 4:

 ((33a3 +  (2•33a2b)) +  (22•32ab2)) +  23b3

Step 5:

 Factoring:  27a3+54a2b+36ab2+8b3

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Just part a I’ve done b. <br> Photo provided.
Rasek [7]

Answer:

<h2>x=-5</h2>

Step-by-step explanation:

{2}^{x}  =  \frac{1}{32}

{2}^{x}  =  \frac{1}{ {2}^{5} }

{2}^{x}  =  {2}^{ - 5}

x =  - 5

6 0
3 years ago
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5
miskamm [114]

Answer:  

z=-3.25

p_v =2*P(z  

Step-by-step explanation:  

1) Data given and notation  

\bar X=5.24 represent the mean production for the sample  

\sigma=0.32 represent the sample standard deviation for the sample  

n=16 sample size  

\mu_o =5.5 represent the value that we want to test  

\alph=0.05a 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)  

Part a: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean production is different from 5.5 tons, the system of hypothesis would be:  

Null hypothesis:\mu =5.5  

Alternative hypothesis:\mu \neq 5.5  

If we analyze the info given we know the population deviation so 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{s}{\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".  

Calculate the statistic  

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

z=\frac{5.24-5.5}{\frac{0.32}{\sqrt{16}}}=-3.25  

P-value

Since this is a two side test the p value would be:  

p_v =2*P(z  

Conclusion  

If we compare the p value and 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, so we can conclude that the production its significant different compared to the desired percentage of SiO2 of 5.5 at 5% of signficance.  

7 0
3 years ago
Find the length of side x in simplest radical form with a rational denominator.<br> X
Aleks04 [339]
Nxjxixjjxxjxjxjxjxj snznznxjx
4 0
3 years ago
Can someone help me please?
morpeh [17]
Heya bro!!

------------------------------------

If uh r asking about scientific notification then x must be in lowest form but decimal point is after 1.

So correct answer is 1.04 * 10^2 .

If uh wanna check multiply it.. Uh will get 104.

Hope it helps uh!
5 0
3 years ago
Ne #3:<br> When I take half of my number and add two, I get twenty-four. What is<br> my<br> number
irga5000 [103]

Answer:

My number will be 44.

Step-by-step explanation:

  1. My number will be divided by 2.
  2. I will get 22.
  3. Then I'll 2 to my 22.
  4. It will give me 24.

  • <u>44 divided by 2 = 22</u>
  • <u>22 + 2 = 24</u>
4 0
3 years ago
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