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Slav-nsk [51]
3 years ago
10

There are 10 boys and 10 girls in a classroom.

Mathematics
2 answers:
IgorLugansk [536]3 years ago
5 0

Answer:

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Illusion [34]3 years ago
5 0
There are 10 boys and 10 girls in a c
What is the probability that a student picked at random will be a girl who likes to draw?
Answer in decimal form
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You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the
Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x  + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

3 0
3 years ago
BIVA
sladkih [1.3K]

Answer:

OPEN PHONE

Step-by-step explanation:

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8 0
2 years ago
The length of a rectangle is 1.2 × 10-4 kilometer. the width of the rectangle is 6.25 × 10-5 kilometer.what is the area in squar
Serhud [2]
We have 1.2 × 10^(-4)  x 6.25 × 10^(-5 )  = 7,5 x 10^(-9) = 75 x 10^(-10) square kilometers.
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3 years ago
Which choice below represents the correct domain for an exponential growth or decay function?
dybincka [34]
D. {x | x E R} because its all real numbers
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3 years ago
17.) Which of the following values is the least?<br>1-14), 114, 114, 721 196​
grigory [225]

Answer:

something

Step-by-step explanation:iwdyucbjcnwiuvbevjeyivbejkbchevbhe chksdb gbg svgfv e jcf dfv ve dc n dhcvgfefvgehncsjcbhdvdgvhj sn jshgvsjcvsgsdcvscjbsdguvsjcbs jbfjhgbhbcshbhvsgvdjjh jggvgcsjvjhfv

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