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denis23 [38]
4 years ago
12

8^2x+1=4^1-x what is the solution

Mathematics
1 answer:
Lapatulllka [165]4 years ago
6 0

Step-by-step explanation:

8 ^{2x + 1}=   {4}^{1 - x}

({2}^{3})^{2x + 1}   = ({2}^{2})^{1 - x}

2^{6x + 3}  =  {2}^{2 - 2x}

6x + 3 = 2 - 2x

6x + 2x = 2 - 3

8x =  - 1

x =   - \frac{1}{8}

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Pet training classes cost $191.10 for 13 sessions. What is the fee for one session?
Ganezh [65]

Answer:

$14.70

Step-by-step explanation:

191.10/13= 14.70

4 0
4 years ago
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A car company claims that its cars achieve an average gas mileage of at least 26 miles per gallon. A random sample of eight cars
motikmotik

Answer:

t=\frac{25.5-26}{\frac{1}{\sqrt{8}}}=-1.414    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value for this case is given by:

p_v =P(t_{(7)}  

Since the p value is higher than the significance level of 0.06 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 25.5 and then the claim makes sense

Step-by-step explanation:

Information given

\bar X=25.5 represent the sample mean

s=1 represent the sample standard deviation

n=8 sample size  

\mu_o =26 represent the value to verify

\alpha=0.06 represent the significance level  

t would represent the statistic (variable of interest)  

p_v represent the p value

Hypothesis to est

We want to test if the true mean is at least 26 mpg, the system of hypothesis would be:  

Null hypothesis:\mu \geq 25.5  

Alternative hypothesis:\mu < 25.5  

The statistic for this case is given by;

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

Replacing the info given we got:

t=\frac{25.5-26}{\frac{1}{\sqrt{8}}}=-1.414    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value for this case is given by:

p_v =P(t_{(7)}  

Since the p value is higher than the significance level of 0.06 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 25.5 and then the claim makes sense

3 0
4 years ago
The absolute value of a number is the _______
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Answer:

Distince

I hope thats correct i have never been good at fill in da blanks

7 0
3 years ago
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The mechanic charges $90 for a vehicle inspection plus an additional $35 per hour. If the mechanic works for 8 hours, what will
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Answer:

$370

Step-by-step explanation:

You already have 90 dollars so we can put that to the side for right now

If you're charged $35 at an hourly rate for 8 hours then you have to multiply the two together

30 x 8 = 240

5 x 8=40

240 + 40=280

Now is when your $90 dollars comes in. Now just add the two together and you'll end up with your final answer

280+90=370

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3 years ago
A prism, whose area of cross-section is 55 cm, has a height of 21 cm. Find the
erma4kov [3.2K]

Step-by-step explanation:

volume = crossectional area×height

55×21= 1155cm³

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