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3 years ago

Simply (-8.5)(-5)(-2). Help 21 POINTS

Mathematics

2 answers:

Serggg [28]3 years ago

6 0

(-8.5)(-5)(-2)

= (-8.5)(10)

= -85

answer

- 85

kirill115 [55]3 years ago

3 0

To simplify this, we just have to multiply each of these values together. We don't have to worry about the order--we just have to multiply them correctly.

To help us multiply these values more easily, we can multiply -5 and -2 to get 10. Since it's each to multiply things by ten (you just move the decimal point one place to the right).

Now we have to multiply -8.5 and 10. Moving the decimal point one place to the right, we get our answer of -85.

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A box with a square base and open top must have a volume of 32,000 cm3. find the dimensions of the box that mini- mize the amoun

zmey [24]

Alrighty

squaer base so length=width, nice

v=lwh
but in this case, l=w, so replace l with w
V=w²h

and volume is 32000
32000=w²h

the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
SA=W²+4HW

alrighty

we gots
SA=W²+4HW and
32000=W²H

we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
32000/W²=H
subsitute

SA=W²+4WH
SA=W²+4W(32000/W²)
SA=W²+128000/W

take derivitive to find the minimum
dSA/dW=2W-128000/W²
where does it equal 0?

0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W

so sub back
32000/W²=H
32000/(40)²=H
32000/(1600)=H
20=H

the box is 20cm height and the width and length are 40cm

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