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Tanya [424]
3 years ago
12

I need help I don't know what to do ​

Mathematics
1 answer:
zvonat [6]3 years ago
5 0
I believe that it is -3e/2 = -24

if so, you reduce the expression, by cancelling the common factors .
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A box with a square base and an open top is to be constructed using 7500 sq. in. of cardboard. Find the dimensions of the box th
umka2103 [35]

Answer:

Step-by-step explanation:

Let the length of one side of the square base be x

Let the height of the box by y

Volume of the box V = x²y

Since the box is opened at the top, the total surface area S = x² + 2xy + 2xy

S = x² + 4xy

Given

S = 7500sq in.

Substitute into the formula for calculating the total surface area

7500 = x² + 4xy

Make y the subject of the formula;

7500 - x² = 4xy

y = (7500-x²)/4x

Since V = x²y

V = x² (7500-x²)/4x

V = x(7500-x²)/4

V = 1/4(7500x-x³)

For us to maximize the volume, then dV/dx = 0

dV/dx = 1/4(7500-3x²)

1/4(7500-3x²) = 0

(7500-3x²) = 0

7500 = 3x²

x² = 7500/3

x² = 2500

x = √2500

x = 50in

Since y = (7500-x²)/4x

y = 7500-2500/4(50)

y = 5000/200

y = 25in

Hence the dimensions of the box that will maximize its volume is 50in by 50in by 25in.

The Volume of the box V = 50²*25

V = 2500*25

V= 62,500in³

Hence the maximum volume is 62,500in³

3 0
3 years ago
Ben can type 25 words in half a minute. At this rate, how many words can he type in 5 minutes? A student found the unit rate and
Brrunno [24]
25 in 1/2minute
10 1/2 minutes in 5 minutes

25*10=250

Hope this helps :)
7 0
3 years ago
Read 2 more answers
What is the 7th term of the geometric sequence? <br><br> 2, 8, 32, 128, ...
artcher [175]
The 7th term of the geometric sequence is 8,192!
7 0
3 years ago
there are 28 students in a classroom. the ratio girls to boys 4 to 3. write and solve a proportion to find how many boys are the
Sedaia [141]
Total = 28

Girls. Boys.
4. 3

28/4= 7
7 x 3 = 21

ANSWER = 21
3 0
3 years ago
The carnival committee purchased 985 small prizes. The prizes are to be divided equally among the 20 game
lakkis [162]

Answer:

49 prizes each, with 5 left

Step-by-step explanation:

985/20 is 49 with 5 left over.

6 0
3 years ago
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