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MrRissso [65]
2 years ago
7

7.3 reteaching with practice 415-420

Mathematics
1 answer:
Alik [6]2 years ago
8 0
5. Y,45 is the axial amount of the y axis items 5
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Consider the given function and the given interval. f\(x\) = (x - 7)**2 text(, ) [5 text(, ) 11] (a) Find the average value fave
Jet001 [13]

a. f has an average value on [5, 11] of

f_{\rm ave}=\displaystyle\frac1{11-5}\int_5^{11}(x-7)^2\,\mathrm dx=\frac{(x-7)^3}{18}\bigg|_5^{11}=\frac{4^3-(-2)^3}{18}=4

b. The mean value theorem guarantees the existence of c\in(5,11) such that f(c)=f_{\rm ave}. This happens for

(c-7)^2=4\implies c-7=\pm2\implies c=9\text{ or }c=5

8 0
4 years ago
A closet is 2 feet deep , 5 feet wide , and 7 feet tall what is the valume of the closet in cubic feet , rounded to the nearest
slavikrds [6]

Answer:

70 ft

Step-by-step explanation:

2x5x7=70

5 0
3 years ago
PLEASE I need help on these 4 problems you don’t have to do them all but if you can at least do one of them TYSM
Brrunno [24]

Answer:

For right angle triangle,

we use Pythagoras theorem that is:

c^{2} =a^{2} +b^{2}

c = \sqrt{a^{2} +b^{2} }

For question 1:

c = ?

a = 40

b = 9

putting them in formula,

c = \sqrt{40^{2} + 9^{2} }

c = 41

For question 2:

c = ?

a = 12

b = 13

putting them in formula,

c = \sqrt{12^{2} + 13^{2} }

c = approximately 17.69181

For question 3:

c = 35

a = 20

b = ?

putting them in formula,

c^{2} =a^{2} +b^{2}

35^{2} = 20^{2} + b^{2}

1225 = 400 + b^{2}

b^{2} = 1225 - 400

b^{2} = 825

\sqrt{b^{2} } = \sqrt{825}

b = 5 \sqrt{33}

For question 4:

c = 37

a = 20

b = ?

putting them in formula,

c^{2} =a^{2} +b^{2}

37^{2} = 20^{2} + b^{2}

1369 = 400 + b^{2}

b^{2} = 1369 - 400

b^{2} = 969

Taking square root on both sides

b = 31.12

Hope it helps.

4 0
3 years ago
Which graph shows the best solution for the system of linear equations. x+5y_>5 y_<2x+4
Mkey [24]

Answer:

.

Step-by-step explanation:

.

8 0
3 years ago
If 400 bricks measuring 81" by 31" are required to build a wall 42 ft. high, how long is the wall​
musickatia [10]
Idek lol but yeah have a good day
7 0
3 years ago
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