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Shkiper50 [21]
3 years ago
11

The number of classified documents has increased approximately linearly from 8.2 million documents in 2001 to 17.4 million docum

ents in 2005. Let n be the number
of documents (in millions) labeled as classified in the year that is tyears since 2000. Find
an equation of a linear model to describe the data.
Mathematics
1 answer:
Andrei [34K]3 years ago
4 0

Answer:

  n -8.2 = 2.3(t -1)

Step-by-step explanation:

You are given definitions for the variables t and n, along with two data points:

  (t, n) = (1, 8.2) and (5, 17.4)

The slope of the line between these points is ...

  m = (y2 -y1)/(x2 -x1)

  m = (17.4 -8.2)/(5 -1) = 9.2/4 = 2.3

The equation can be written in point-slope form as ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  n -8.2 = 2.3(t -1) . . . . a linear model describing the data

______

<em>Additional comment</em>

If we eliminate the parentheses and add 8.2, we get the point-slope equation ...

  n = 2.3t +5.9

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How many integers are between sqrt 37 and 5*sqrt 11?
34kurt

Answer:

There are 10 integers between the given values

Step-by-step explanation:

We start by finding approximations of the two real values given that include square roots of non-perfect-square numbers:

\sqrt{37} \approx6.0827

then this point is located in between the integers 6 and 7 on the x-axis.

5\,\sqrt{11} \approx 16.58

therefore, it is located between the integers 16 and 17 on the number line.

Then between \sqrt{37}, and 5\,\sqrt{11}, we have the following integers:

7, 8, 9, 10, 11, 12, 13, 14, 15, 16.

That is 10 integers

8 0
3 years ago
Charles is making pumpkin lattes. His recipe calls for 2/3 cup of milk for every eighth cup of pumpkin purée. If Charles is maki
Molodets [167]
Are we assuming that we are using an eight of a cup of pumpkin puree per latte?
If we are then the answer would be 1.042 cups of milk more than puree.

First we have to find out how much puree we are using.
That would be ( 1/8 ) × 5 = 0.125 × 5 = 0.625 cups of puree.
Then we would find how much milk we are using.
That would be ( 2/3 ) × 5 = 0.666666 ( a lot of sixes ) × 5 = 1.666666 ( a lot of sixes ).
To find the difference, you would then have to subtract the amount of puree from the amount of milk.
You would get 1.666666 − 0.625 = 1.0416666 ( also a lot of sixes ). If you are doing this with your own calculator you should get approximately the same number.
Since the number isn't exact you can round up all the sixes to the nearest thousandth. You should get approximately 1.042 cups.
I hope this helped.
7 0
3 years ago
ANSWER ASAP DONT SEND A FILE WHAT IS THE TRANSFORMATION????
mina [271]

Answer:

Hi, I believe this is reflection then rotation. I haven't studied this in some time but from what I remember I think that would be the right answer. I hope I helped, have a nice day :)

6 0
3 years ago
Read 2 more answers
On a coordinate plane ,the segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5,with the origin as the cent
mestny [16]

The length of the dilated line segment is 80 units.

<h3>What is dilation?</h3>

Dilation is the increase or decrease in the size of a figure or object.

The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).

The distance between points (8, 32) and (56, 96) is:

Distance = \sqrt{(96-32)^2+(56-8)^2} =80\ units

The length of the dilated line segment is 80 units.

Find out more on dilation at: brainly.com/question/10253650

8 0
2 years ago
The maroon team and the orange team played a game of football. The maroon team scored 40 points and the orange team scored 12 po
MArishka [77]
40:12 or 10:3......these are equivalent
5 0
4 years ago
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