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cricket20 [7]
3 years ago
10

If f(x) = x2 and g(x) = x + 1, what is (fºg)(2)?

Mathematics
2 answers:
zepelin [54]3 years ago
5 0

Answer:

f(x)=x² , g(x)= x+1. f(g(2))?

g(2)

2+1=3

g(2)=3

f(3)

3²=9

f(3)=9

the answer is 9

kompoz [17]3 years ago
4 0

Answer:

9

Step-by-step explanation:

To find (f ○ g)(2) , evaluate g(2) then substitute the value obtained into f(x)

g(2) = 2 + 1 = 3 , then

f(3) = 3² = 9

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azamat

Complete question is;

Roger is building a storage shed with wood blocks that are in the shape of cubic prisms. Can he build a shed that is twice as high as it is wide?

A. Yes. For every block of width, he could build two blocks high.

B. Yes. He could use half as many blocks for the height as the width.

C. There is no way to determine if he can do this.

D. No, it is not possible to do this

Answer:

A. Yes. For every block of width, he could build two blocks high.

Step-by-step explanation:

We are told that the wood blocks are in the shape of cubic prisms.

Now, cube shapes means that all sides are equal.

Now, if he divides the cube into 2, he can use one have to add to the top to make the height double since the sides are equal.

Thus, the height will now be twice a side of the cubic prism.

Thus, he can build a shed twice as high as its width.

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Which of the following are solutions to the equation below (5x+1)^2=7?<br><br> Check all that apply.
stiv31 [10]
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The mean consumption of water per household in a city was 1425 cubic feet per month. Due to a water shortage because of a drough
liberstina [14]

Answer:

a)t=\frac{1175-1425}{\frac{250}{\sqrt{100}}}=-10    

The degrees of freedom are given by:

df=n-1=100-1=99  

The p value for this case would be given by:

p_v =P(t_{99}  

Since the p value is significantly lower than he significance level given we have enough evidence to reject the null hypothesis and we can conclude that the true mean is lower than 1425

b) For this case we need to find a critical value in the t distribution with  99 degrees of freedom who accumulates 0.025 of the area in the right tail and we got:

t_{\alpha/2}=1.984

Since the calculated value is higher than the critical value we can reject the null hypothesis at the significance level provided and we can say that the true mean is higher than 1425

Step-by-step explanation:

Information given

\bar X=1175 represent the sample mean for the cubic feets of households

\sigma=250 represent the population standard deviation

n=100 sample size  

\mu_o =1425 represent the value to verify

\alpha=0.025 represent the significance level

t would represent the statistic

p_v represent the p value

Part a

We want to test that the mean consumption of water per household has decreased due to the campaign by the city council, the system of hypothesis would be:  

Null hypothesis:\mu \geq 1425  

Alternative hypothesis:\mu < 1425  

Since we don't know the deviation the statistic is given by:

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

The statistic is given by:

t=\frac{1175-1425}{\frac{250}{\sqrt{100}}}=-10    

The degrees of freedom are given by:

df=n-1=100-1=99  

The p value for this case would be given by:

p_v =P(t_{99}  

Since the p value is significantly lower than he significance level given we have enough evidence to reject the null hypothesis and we can conclude that the true mean is lower than 1425

Part b

For this case we need to find a critical value in the t distribution with  99 degrees of freedom who accumulates 0.025 of the area in the right tail and we got:

t_{\alpha/2}=1.984

Since the calculated value is higher than the critical value we can reject the null hypothesis at the significance level provided and we can say that the true mean is higher than 1425

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3 years ago
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Answer:

The value of angle is 56.9°

Step-by-step explanation:

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let \: a = 8.25 \\ let \: b = 6.45

{c}^{2}  =  {8.25}^{2}  +  {6.45}^{2}

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{c}^{2}  = 109.665

c =  \sqrt{109.665}

c = 10.47cm \: (4s.f)

In order to find θ, you have to apply Sine Rule :

\sin(θ)  =  \frac{opposite}{adjacent}

let \: oppo. = 8.77 \\ let \: hypo. = 10.47

\sin(θ)  =  \frac{8.77}{10.47}

θ =  { \sin( \frac{8.77}{10.47} ) }^{ - 1}

θ = 56.9 \: (1d.p)

4 0
3 years ago
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