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cricket20 [7]
4 years ago
7

Solve the equation, and check the solutions √(x+6)=3.

Mathematics
1 answer:
posledela4 years ago
8 0

Answer:

The solution is x = 3

Step-by-step explanation:

We have the following equation:

\sqrt{x+6} = 3

Elevating both sides to 2, we can isolate x

\sqrt{x+6}^{2} = 3^{2}

x + 6 = 9

x = 9 - 6

x = 3

Checking

\sqrt{x+6} = \sqrt{3+6} = \sqrt{9} = 3

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A random sample of n = 8 E-glass fiber test specimens of a certain type yielded a sample mean interfacial shear yield stress of
ANTONII [103]

Answer:

32.9-2.365\frac{4.9}{\sqrt{8}}=28.80    

32.9+2.365\frac{4.9}{\sqrt{8}}=37.00    

Step-by-step explanation:

Information given

\bar X=32.9 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=4.9 represent the sample standard deviation

n=8 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

the degrees of freedom are given by:

df=n-1=8-1=7

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and the critical value for this cae would be t_{\alpha/2}=2.365

Now we have everything in order to replace into formula (1):

32.9-2.365\frac{4.9}{\sqrt{8}}=28.80    

32.9+2.365\frac{4.9}{\sqrt{8}}=37.00    

6 0
3 years ago
If (a-b)²=7 and (a²+b²) =29.what is ab? Plssss asap​
navik [9.2K]

Answer:

Given - (a-b)²=7

(a²+b²) =29

To find - ab

Solution -

( a- b) ^2 = 7

(a^2 + b^2) = 29

Expanding the bracket by using identity

a^2 + b^2 -2ab = 7

29 - 2ab = 7 (given a^2 + b^2 = 29 )

-2ab = 7 -29

-2ab = (-22)

ab = (-22) /(-2)

ab = 11

6 0
3 years ago
Need help. Please answer question in picture.
Rina8888 [55]
A = 1/2(b X h)
20.025 = 1/2(8.9 X u)
20.025*2/1= 1/2 * 2/1(8.9 x u)
40.05 =8.9u
40.05/8.9 = 8.9u/8.9
u = 4.50

Check
A = 1/2(b X h)
A = 1/2(8.9 X 4.5)
A = 1/2(40.05)
A = 20.025 in²
3 0
3 years ago
Read 2 more answers
I'll give you brainliest for the correct answer!!!
BaLLatris [955]

Answer:

x = -5.39

Step-by-step explanation:

x + (−2.4) = −7.79

x =  −7.79 + 2.4

x  =  -5.39

8 0
3 years ago
Read 2 more answers
Which of the following integers has the greatest absolute value -10,-8,-4 or 8
Andru [333]
First lets find the absolute value of each of these numbers. The absolute value is ALWAYS positive. Lets do it:-

|-10| = 10
|-8| = 8
|-4| = 4
|8| = 8

So the greatest number of these all is 10, so 10 is the greatest number in this set of integers by the absolute value.  

Hope I helped ya!! 
6 0
4 years ago
Read 2 more answers
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