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Rzqust [24]
3 years ago
5

An ostrich egg has about the same volume as a sphere with a diameter of 5 inches. If the eggshell is 1/12 inch thick, find the v

olume of just the shell, NOT including the interior of the egg. Round to the nearest tenth
Mathematics
1 answer:
maks197457 [2]3 years ago
6 0
<span>volume of the shell is 3.1 cubic inches</span>
You might be interested in
ine AB passes through points A(–6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y = mx + b,
Alja [10]
Y-6=-1/6(x+6)
y = -1/6x +5

m= -1/6
b=5
6 0
3 years ago
An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corne
lawyer [7]

Answer:

The dimensions of the resulting box that has the largest volume is 1.3 inches x 1.3 inches

Step-by-step explanation:

Card board size is L= 14 inches and

W = 6 inches

Let x be the size of equal squares cut from 4 corners and bent into a box whose size is now;

L = 14 − 2x , W = 6 −2x and h = x inches.

Volume of the box is given as;

V = (14 −2x)(6−2x)x

V =(4x² − 40x + 84)x

= 4x³ − 40x² + 84x.

Now, for the maximum value,

dV/dx =0

Thus,

dv/dx = 12x² - 80x + 84 = 0

Using quadratic formula

x = [-(-80) ± √(-80²) - 4(12 x 84)]/(2 x 12)

x = [80 ± √(6400 - 4032)]/24

x = (80 + 48.66)/24 or (80-48.66)/24

x = 5.36 or 1.31

Looking at the two values, 1.31 would be more appropriate because if we use 5.36,we will get a negative value of the width (W).

Thus, x = 1.31 inches

Let us use the Second Derivative Test to verify that V has a local maximum at x = 1.31.

Thus;

d²v/dx² = 24x - 80 = 24(1.31) - 80 = -48.56

This is less than 0 and therefore, the volume of the box is maximized when a 1.31 inch by 1.3 inch square is cut from the corners of the cardboard sheet.

3 0
3 years ago
20 POINTS
chubhunter [2.5K]
Answer: 2 inches, 3 inches, or 3.125 and 2.083


Explanations:
The simplest way is to take 20% of the 2.5 inches and go that much above & below 2.5 inches.

2.5 x 20% = 2.5 x 0.20 = 0.5

So 2.5 - 0.5 = 2 inches was predicted
And 2.5 + 0.5 = 3 inches was predicted.

The more complicated way is to see number + 20% of that number = 2.5, and what number - 20% = 2.5.

Which solution sounds more like what you’re doing in class right now?

If it’s the more complicated way:

0.8x = 2.5 (80% of the predicted rain value equals 2.5)
x = 3.125 inches was predicted

1.2x = 2.5 (120% of the predicted rain value equals 2.5)
x = 2.083 inches was predicted

Sorry, this is probably confusing. Let me know what questions you have.
6 0
3 years ago
There are 14 students in an art class. Mr.
Alexus [3.1K]
You take the number of the colored pencils and divides it with the people in the class.

350/14 = 25
4 0
3 years ago
6 of 10 equal pieces is the same as 60 of 100 equal pieces and ___ of 5 equal pieces?
gizmo_the_mogwai [7]
3 of 5 because you can halve each number for example 6 can be halved to make 3 and 10 can be halved to make 5
4 0
3 years ago
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