Write an equation in point-slope form of the line that passes through the point (4, −9) and has a slope of m=6

Do you agree with the researchers method of predicting the population? Why or why not?

Burka [1]

Yes, I agree with the researcher's method. All the values of $a_{n}$ in the table correspond to the values of n by using their formula.

Step-by-step explanation:

Step 1:

If we substitute the values of n in the researcher's equation and we get the right values of $a_{n}$ , we can agree with the researcher's method.

The researcher's formula is $a_{n} = 1000(2)^{n-1}.$ Here $a_{n}$ is the wombat population and n is the number of years.

Step 2:

When n = 1, $a_{1} = 1000(2)^{1-1} = 1000(1) = 1,000,$

when n = 2, $a_{2} = 1000(2)^{2-1} = 1000(2) = 2,000,$

when n = 3, $a_{3} = 1000(2)^{3-1} = 1000(4) = 4,000,$

when n = 4, $a_{4} = 1000(2)^{4-1} = 1000(8) = 8,000,$

when n = 5, $a_{5} = 1000(2)^{5-1} = 1000(16) = 16,000.$

As all the values correspond to the values on the table, I agree with the researcher's method.

6 0

3 years ago

I'll mark the best or the first as brainliest.

FinnZ [79.3K]

Answer:

Here the error is 

 $\pi {r}^{2}$ 

It should have been ,

 $2\pi {r}^{2}$ 

Step-by-step explanation:

Corrected formula:

 $2\pi {r}^{2} + 2\pi rh$ 

 $= 2\pi ({5}^{2}) + 2\pi(5)(10.6)$ 

 $= 50\pi + 106\pi$ 

 $= 156\pi$ 

 $= 489.84 {yd}^{2}$ 

 $approx . \: 489.8 {yd}^{2} (ans)$ 

6 0

3 years ago

What does standard deviation mean?

Sveta_85 [38]

Standard deviation is: It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.

For example: To find the standard deviation, you have to add up all the numbers in the data set, then divide by how many numbers there are, and that will get you your answer.

Example, Say your data set is: 9, 2, 5, 4, 12, 7, 8, 11, 9, 3, 7, 4, 12, 5, 4, 10, 9, 6, 9, 4.

The Mean is: 9 + 2 + 5 + 4 + 12 + 7 + 8 + 11 + 9 + 3 + 7 + 4 + 12 + 5 + 4 + 10+ 9 + 6 + 9 + 4. Over 20. That equals: 104 over 20 = 7.

So, the Standard Variance and Mean is: 7 for this problem.

Hope I helped!

- Debbie

4 0

3 years ago

Can people please help me on this

zmey [24]

let <ACB=<C,

Here h=26 due to opposite to right angle is hypotenuse and b=10 Is a base and p=24 due to opposite to the angle <C

so,

Cos<C=b/h

=10/26

=5/13

4 0

4 years ago

Which best describes the relationship between the line that passes through the points (–6, –1) and (–11, 1) and the line that pa

yaroslaw [1]

The two are perpendicular to each other because the two slopes are negative reciprocals

(Y2 - Y1) / (X2 - X1)

First slope:
( 1 - (-1)) / (-11 - (-6))
2/-5

Second slope:
(-13 - (-8)) / (-5 - (-3))
-5/-2 or 5/2

You know when two aliens are perpendicular when you multiply the two slopes and get -1 as the product

-2/5 X 5/2 = -1

Thus the two lines are perpendicular to each other.

3 0

3 years ago

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