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Sergeu [11.5K]
3 years ago
8

Find the maximum volume of a box that can be made by cutting out squares from the corners of an 8-inch by 15-inch rectangular sh

eet of cardboard and folding up the sides.
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
7 0
<span>Answers: V = (15-2x)(8-2x)x V = 120x -46x²+ 4x³ V' = 120 -92x + 12x² 0 = 120 -92x + 12x² x = (92±52)/24 x = 6 or 5/3 Pick x = 5/3 Volume = (15-2*5/3)(8-2*5/3)*5/3 = 90.74 in³ To justify x = 5/3 is the max V" = -92 + 24x V"(5/3) = -92 + 24(5/3) <0 negative. Volume V(5/3) is max because the function is concave down with V"<0.</span>
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Can someone please explain this question? I have a pic
Verdich [7]

Step-by-step explanation:

recall in a linear equation expressed in the form

y = mx + b,

m represents the slope or the rate of change in the value of y for a unit change in the value of x

b represents the y-intercept (i.e the value of y when x = 0)

If you compare these definitions to what was given in the question, the rate of  change in snowfall is given as 1/2 inches per hour. This is equivalent to the m value in our general equation above. Hence we can say that the rate of change in snowfall is equal to the slope of the graph.

The question also states that before the snow even started to fall (i.e when x=0 hours), there was already 8 inches on the ground. This is equivalent to the value of b in our general equation above. Hence we can say that the y-intercept is representative of the 8 inches that was already on the ground when the snow started falling.

5 0
3 years ago
isabel lives 3/4 mile from school, Janet lives 2/3 mile from school how much farther in miles does isabel live from school than
anyanavicka [17]
Hey There!

Steps to solve (steps will be in numerical order)

1. Find the lcd of the fractions \frac{3}{4} and <span>\frac{2}{3} . The lcd for both problems will be 12.

2. To rewrite </span>\frac{3}{4} you have to multiply the numerator and denominator by three since the lcd is 12. So you're new fraction will be \frac{9}{12}. For the second fraction, since the lcd is 12 you will multiply the numerator and denominator by 4. You're new fraction will be <span>\frac{8}{12}.

3. Since the problem contains the math keyword "Further", you automatically know you have to subtract, now subtract </span>\frac{9}{12} - <span>\frac{8}{12}. First, start of by subtracting the numerators, so subtract 9-8=1 , remember the denominators will always stay the same.

In conclusion, you're answer will be </span>\frac{1}{12}, so Isabel lives <span>\frac{1}{12} farther away from Janet.

Hope This Helps :)

</span>
3 0
3 years ago
Read 2 more answers
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UkoKoshka [18]
This is a question of randomness so there really is no answer. I would guess 7 since that is the center page and you're more likely to open it up in or near the middle
6 0
3 years ago
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A train traveling at a constant speed covers 320 miles in 4 hours. What equation can be used to model the distance, d miles, the
vivado [14]

Answer:

80d:1t

Step-by-step explanation:

320mi:4h

80mi:1h

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2 years ago
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Alona [7]
Hello!

1 floz divided by 100 = 0.01
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3 years ago
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