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bogdanovich [222]
3 years ago
12

Find three consecutive even integers such that the sum of the smallest and twice the second is 20 more than the third. Write the

second integer below.
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0
10 11 12 or 9 10 11 are the answers
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A cone-shaped container with a height of 6 inches and radius of 2 inches is filled with a substance that is worth $5 per cubic f
dimulka [17.4K]
We know that

[volume of a cone]=pi*r²*h/3
r=2 in
h=6 in
[volume of a cone]=pi*2²*6/3------> 25.12 in³

1 ft³---------> 1728 in³
then
X------------> 25.12 in³
X=25.12/1728-----> x=0.014537 ft³

if 1 ft³--------------------> cost $5
0.014537 ft³-----------> X
X=0.014537*5-----> x=0.073

the answer is
<span>the total value of the substance in the container is $0.07</span>
4 0
3 years ago
Find the critical points, domain endpoints, and local extreme values for the function
aliina [53]

Answer:

a) x = -3, b) x = 0, x = -6, c) x = 0, d) x = -6

Step-by-step explanation:

a) Let derive the function:

f'(x) = \frac{10\cdot x \cdot (x+3)-5\cdot x^{2}}{25\cdot (x+3)^{2}}

f'(x) is undefined when denominator equates to zero. The critical point is:

x = -3

b) f'(x) = 0 when numerator equates to zero. That is:

10\cdot x \cdot (x+3) - 5\cdot x^{2} = 0

10\cdot x^{2}+30\cdot x -5\cdot x^{2} = 0

5\cdot x^{2} + 30\cdot x = 0

5\cdot x \cdot (x+6) = 0

This equation shows two critical points:

x = 0, x = -6

c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that x = 0 corresponds to a local maximum. (See Attachment)

d) By plotting the function, it is evident that x = -6 corresponds to a local minimum. (See Attachment)

8 0
3 years ago
What is the new 2 x 2 system?
Monica [59]
2 x 2 = 4 pls correct me if I’m wrong
8 0
3 years ago
your job pays 8$ per hour Write a variable expression for your pay in dollars for working h hours. What is your pay if you work
lawyer [7]

Answer:

$8h

Your pay is $288 for working 36 hours

Step-by-step explanation:

I hope this helps :)

7 0
3 years ago
Aurora has a cell phone plan that charges $65 for phone service plus $12 for eachgigabyte of data used each month. If her bill f
Ivahew [28]

Answer:

4 gigabytes

Step-by-step explanation:

64+12+12+12+12=113

7 0
3 years ago
Read 2 more answers
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