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irina1246 [14]
3 years ago
12

Find the derivative using the fundamental theorem of calculus part 1

%5E%7Bx%5E%7B2%7D%20%7D_x%20%7B%282t%5E2%20%2B3%29%7D%20%5C%2C%20dt" id="TexFormula1" title="g(x)=\int\limits^{x^{2} }_x {(2t^2 +3)} \, dt" alt="g(x)=\int\limits^{x^{2} }_x {(2t^2 +3)} \, dt" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
QveST [7]3 years ago
3 0

Unfortunately, my answer could not be saved. Please refer to the attachments below.

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The rate of change is the slope
Slope is 20
If you were to write this as an equation it would basically be y=20x
5 0
3 years ago
Doogle drove 30 and one-third miles toward his brother's house in one-third of an hour. About how long will the entire 100-mile
Olenka [21]

Answer:

1\frac{9}{91}\ hours

Step-by-step explanation:

we know that

30 and one-third miles is equal to

30\frac{1}{3}\ mi=\frac{30*3+1}{3}=\frac{91}{3}\ mi

one-third of an hour is equal to

\frac{1}{3}\ h

Applying proportion

\frac{(1/3)}{(91/3)}\frac{h}{mi}=\frac{x}{100}\frac{h}{mi}\\ \\x=\frac{100}{91}\ h

Convert to mixed number

\frac{100}{91}\ h=\frac{91}{91}+\frac{9}{91}=1\frac{9}{91}\ h

8 0
4 years ago
Read 2 more answers
A square park has an area of 1/16 square miles and a length of 1/4 mile. What is
Yakvenalex [24]
<h3>Answer:  1/4 mile</h3>

Explanation:

A square has all four sides the same length. So the length and width are the same.

We can see that (length)*(width) = (1/4)*(1/4) = 1/16 square miles.

If you wanted, you could solve for W in (1/4)*W = 1/16 and you should get W = 1/4.

4 0
3 years ago
All triangle angles have 60 degree angles. What are the side lengths?
Alex_Xolod [135]
If all the angles are 60 degrees, this is an equilateral triangle. This means that all the sides have the same lengths. Whatever length side a is, b and c have the same length. 

Hope this helps :)
3 0
3 years ago
Read 2 more answers
A business school has a goal that the average number of years of work experience of its MBA applicants is more than three years.
gizmo_the_mogwai [7]

Answer:

z=\frac{3.1-3}{\frac{2.449}{\sqrt{47}}}=0.280    

p_v =P(z>0.280)=0.390  

If we compare the p value and the significance level assumed \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its NOT significant higher than 0.3 at 1% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=3.1 represent the sample mean

\sigma=\sqrt{6} represent the sample standard deviation for the sample

n=47 sample size  

\mu_o =3 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

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

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 3, the system of hypothesis would be:  

Null hypothesis:\mu \leq 3  

Alternative hypothesis:\mu > 3  

If we analyze the size for the sample is > 30 and 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{\sigma}{\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{3.1-3}{\frac{2.449}{\sqrt{47}}}=0.280    

P-value

Since is a one side test the p value would be:  

p_v =P(z>0.280)=0.390  

Conclusion  

If we compare the p value and the significance level assumed \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its NOT significant higher than 0.3 at 1% of signficance.  

3 0
3 years ago
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