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Zigmanuir [339]
3 years ago
9

Help answer this question asap

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
7 0

Answer:

∠NMJ and ∠KJH

Step-by-step explanation:

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Consider the function V=g(x), where g(x) =x(6-2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an
Andrej [43]

Answer:

The maximum volume of the open box is 24.26 cm³

Step-by-step explanation:

The volume of the box is given as V=g(x), where g(x)=x(6-2x)(8-2x) and 0\le x\le3.

Expand the function to obtain:

g(x)=4x^3-28x^2+48x

Differentiate  wrt  x to obtain:

g'(x)=12x^2-56x+48

To find the point where the maximum value occurs, we solve

g'(x)=0

\implies 12x^2-56x+48=0

\implies x=1.13,x=3.54

Discard x=3.54 because it is not within the given domain.

Apply the second derivative test to confirm the maximum critical point.

g''(x)=24x-56, g''(1.13)=24(1.13)-56=-28.88\:

This means the maximum volume occurs at x=1.13.

Substitute x=1.13 into g(x)=x(6-2x)(8-2x) to get the maximum volume.

g(1.13)=1.13(6-2\times1.13)(8-2\times1.13)=24.26

The maximum volume of the open box is 24.26 cm³

See attachment for graph.

6 0
3 years ago
Byron has his own bakery. He bakes 84 cakes each week. How many can he make in one day?
Lerok [7]

Answer: 12 cakes

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Write in point-slope form, slope-intercept form, and standard form an equation that passes through (-1,2) with slope 4.
N76 [4]

point slope form:y-2=4(x+1)

then distribute 4 and simplify y-2=4x+4 , y=4x+6 is the slope -y intercept form

then, move 4x on the left side, you get -4x+y=6 , multiply every term by -1, you get 4x-y=-6 which is standard form.

4 0
3 years ago
Three divided by four
muminat

Answer:

0.75

Step-by-step explanation:

3/4=0.75

Hope this helps! :)

8 0
3 years ago
Detroit received 8 over 5 inches of snow in the morning. The city recorded of an 3 over 5inch of snow in the evening. What was t
xenn [34]

Answer:

11/5 inches

Step-by-step explanation:

total snowfall for the day = snowfall in morning + snowfall in evening

= 8 over 5 + 3 over 5 (all in inches)

= 8/5 + 3/5 (all in inches)

Since the denominators are the same (5), we can simply add the numerators up while keeping the denominator

(8/5 + 3/5) inches= (8+3)/5 inches = 11/5 inches = total snowfall for the day

7 0
2 years ago
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