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barxatty [35]
3 years ago
12

X / 3 - (x+5) / 5 = 7

Mathematics
1 answer:
Nastasia [14]3 years ago
7 0

Answer:

x= 60

Explanation:

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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
7 0
3 years ago
A rocket is launched at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+100t+3
Vikentia [17]

Answer:

see below

Step-by-step explanation:

h(t)=−4.9t2+100t+325.

The independent variable is the one that we change

t which is in seconds

The dependent variable is the result

h(t) which is in meters

4 0
3 years ago
BRAINLIEST ASAP! PLEASE HELP ME :)
Ivenika [448]

<em>See</em><em> </em><em>above</em><em> </em><em>explanation</em>

I am joyous to assist you anytime.

5 0
3 years ago
What is the perimeter of a square which has the same area as a circle with circumfrence of 4π
Kruka [31]

Answer:

Perimeter square = 8 sqrt(pi)

Step-by-step explanation:

The perimeter of a square is 4*s

The area of a circle is Area = pi * r^2

The circumference of a circle is C = 2*pi * r

C = 4 pi

4pi = 2*pi * r

r = 2

So the area of the circle is pi * r^2 = pi * 2^2 = 4pi

The square has the same area

Area = 4*pi

Square = 4*pi

s^2 = 4*pi

s = sqrt(4*pi)

s = 2*sqrt(pi)

The perimeter = 4 * 2 * sqrt(pi)

The perimeter = 8 * sqrt(pi)

8 0
3 years ago
Solve using the systems of linear inequalities<br><img src="https://tex.z-dn.net/?f=4x%20%2B%20y%20%5Cgeqslant%202" id="TexFormu
Archy [21]
The linear inequality for x is x ≥ 1/2-y/4
The linear inequality for y is y ≥ 2-4x
5 0
3 years ago
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