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marissa [1.9K]
3 years ago
12

Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-

separated list. If an answer does not exist, enter DNE.) f(x) = x , [0, 16]
Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0

Answer:

C = 4

Step-by-step explanation:

solution:

f(x) can be differentiated on (0,16)

By mean value theorem

= f(16) = 4

= f(0) = 0

= f(b) - f(a)/b - a

= f(4) - f(0)/ f(16) - f(0)

= f'(c) = 1/2√C

= 1/2√C = 4/16

= 1/2√C = 1/4

= 4 = 2√C

= √C = 4/2

we make c the subject of the formula and also eliminate the square root

= √C = 2

= C = 2²

= C = 4

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Is 2/15 a repeating decimal or a terminating decimal?
lubasha [3.4K]
2/15 = 0.1333333333... It is a repeating decimal, because a terminarog decimal ends, and this doesn't end.
6 0
3 years ago
Dionne can fold 175 packing boxes in 50 mìnutes. Elias can fold 120 packing boxes in 40 minutes. How long will it take each pers
Gre4nikov [31]
<h2>Dionne will fold 210 packing boxes in "60 mìnutes" and</h2><h2>Elias will fold 210 packing boxes in "70 mìnutes".</h2>

Step-by-step explanation:

Given,

Dionne can fold 175 packing boxes = 50 mìnute and

Elias can fold 120 packing boxes = 40 minutes

To find, the total time each person to fold 210 packing boxes = ?

∵ Dionne can fold 175 packing boxes = 50 mìnute

∴ In 1 mìnute, Dionne can fold number of packing boxes = \dfrac{175}{50} = 3.5

∴  Dionne can fold 210 packing boxes = \dfrac{210}{3.5} minutes

= 60 minutes

Also,

Elias can fold 120 packing boxes = 40 minutes

∴ In 1 mìnute, Elias can fold number of packing boxes = \dfrac{120}{40} = 3

∴  Elias can fold 210 packing boxes = \dfrac{210}{3} minutes

= 70 minutes

Thus, Dionne will fold 210 packing boxes in "60 mìnutes" and

Elias will fold 210 packing boxes in "70 mìnutes".

8 0
3 years ago
PLSSSSSSSSSS HELPPPPPP MEEEEEEE, WILL RATE YOU BRAINLIEST!!!!!!!!!!!!!!
Artemon [7]
The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2

The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2

Hope this helps:) plz mark brainiest i would really apperciate it
<span />
5 0
2 years ago
5. Find the area of an equilateral triangle with a<br> perimeter of 24 in.<br> what’s the area?
Zolol [24]

Answer:

18

Step-by-step explanation:

24÷3=6 6×6=36 36÷2=18

6 0
3 years ago
Please solve and find CE​
mixas84 [53]

Answer:

i cant see the picture

Step-by-step explanation:

7 0
3 years ago
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