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Lilit [14]
3 years ago
7

Does anybody know the inequality to m + 2 ≤ -4?

Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0

Answer:

m ≤ -6

Step-by-step explanation:

m + 2 ≤ -4

m ≤ -4 + (-2)

m ≤ -6

Hope this helps!

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The radius of a circle is 10 meters. What is the area of a sector bounded by a 90 degree arc?Give the exact answer in simplest f
Wittaler [7]

Since we know a circle has 360 degrees, the sector bounded by a 90 degree arc will be a quarter of circle (360/90 = 4). Then, to calculate the area of that sector, we can calculate the total area of the circle of radius 10, and then divide it by 4.

The area of a cirlce of radius r is:

A=\pi r^2

Then, the area of the sector would be:

A_s=\frac{\pi r^2}{4}A_s=\frac{\pi(10m)^2}{4}=\frac{100\pi}{4}m^2A_s=25\pi m^2

4 0
1 year ago
Is 70 the correct value for x?
Reptile [31]

Answer:

68 is what I'm getting for x

70 is the correct length of DH

Step-by-step explanation:

You can set up the proportion for this question.

99.2 / 62 = 112/(x + 2)   Cross multiply

99.2 ( x + 2) = 62 * 112   Combine the right side

99.2(x + 2) = 6944         Use the distributive principle to remove the brackets.

99.2*x + 2*99.2 = 6944 Combine the factors on the left

99.2x + 198.4 = 6944     Subtract 198.4 from both sides

99.2x = 6944  - 198.4     Combine the terms on the right

99.2x = 6745.6               Divide both sides by 99.2

x = 6745.6/99.2

x = 68

DH = 70


8 0
3 years ago
(-2-√3) (-2+√3) when simplified is​
Ksivusya [100]

Answer:

=1

Step-by-step explanation:

(-2-√3)(-2+√3)

=-2(-2+√3)-√3(-2+√3)

=4-2√3+2√3-√9

=4-3

=1

5 0
3 years ago
2. Find x.<br> 24x - 19<br> 16x + 13<br><br> Please help me with this
saul85 [17]
I mean I would say it’s 4
3 0
3 years ago
Read 2 more answers
Daily high temperatures in St. Louis for the last week were as​ follows: 95​, 92​, 93​, 92​, 95​, 90​, 90 ​(yesterday). ​a) The
hichkok12 [17]

Answer:

a) T = 91.7 degrees

b) T = 90 degrees

c) MAD = 1.9

d) MSE = 5.05

Step-by-step explanation:

Given:

- Daily high temperatures in St. Louis for the last week were as​ follows:

                                   95​, 92​, 93​, 92​, 95​, 90​, 90

Find:

a) Forecast the high temperature today, using a 3-day moving average.

b) Forecast the high temperature today, using a 2-day moving average.

c) Calculate the mean absolute deviation based on a 2-day moving average, covering all days in which you can have a forecast and an actual temperature.

d) The mean squared error for the​ 2-day moving average​

Solution:

a)

- The set of 3 day moving average is as follows:

4.   (95 + 92 + 93) ÷ 3 = 93.33⁰C

5.  (92 + 93 + 92) ÷ 3 = 92.33⁰C

6.  (93 + 92 + 95) ÷ 3 = 93.33⁰C

7.  (92 + 95 + 90) ÷ 3 = 92.33⁰C

8.  (95 + 90 + 90) ÷ 3 = 91.667⁰C

- Now use these points on excel sheet to forecast the temperature for today. The line of best fit is given:

T = 91.7 degrees

b)

- The set of 2 day moving average is as follows:

3.   (95 + 92) ÷ 2 = 93.5⁰C

4.  (95 + 93) ÷ 2 = 92.5⁰C

5.  (93 + 92) ÷ 2 = 92.5⁰C

6.  (92 + 95) ÷ 2 = 93.5⁰C

7.  (95 + 90) ÷ 2 = 92.5⁰C

8. (90 + 90) ÷ 2 = 90⁰C

- Now use these points on excel sheet to forecast the temperature for today. The line of best fit is given:

T = 90 degrees

c)

                             Error             Error^2

3.   93.5⁰C            0.5                  0.25

4.   92.5⁰C            0.5                  0.25

5.   92.5⁰C            2.5                  6.25

6.   93.5⁰C            3.5                  12.25

7.   92.5⁰C            2.5                  6.25

8.   90⁰C

- The mean absolute deviation as follows:

                              MAD = Sum of all errors  / 5

                              MAD = (0.5+0.5+2.5+3.5+2.5)  / 5

                              MAD = 1.9

d)

- The mean squared error deviation as follows:

                              MSE = Sum of all error^2  / 5

                              MSE = (0.25+0.25+6.25+12.25+6.25)  / 5

                              MSE = 5.05

4 0
3 years ago
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