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beks73 [17]
3 years ago
7

An egg of a particular bird is very nearly spherical. The radius to the inside of the shell is 4 millimeters and the radius to t

he outside of the shell is 4.2 millimeters. Use differentials to approximate the volume of the shell. [Remember that V(r) = 4/3 pi r^3, where r is the radius.] The volume of the shell is approximately mm^3.
Mathematics
1 answer:
igomit [66]3 years ago
4 0

Answer: The volume of shell is 12.8π mm².

Step-by-step explanation:

Since we have given that

Radius to the inside of the shell = 4 milimeters

Radius to the outside of the shell = 4.2 milimeters

Since r changes from 4 mm to 4.2 mm

so, dr=4.2-4=0.2\ mm

As we know that

Volume of shell is given by

\dfrac{4}{3}\pi r^3

dv=\dfrac{4}{3}\pi 3r^2\ dr\\\\dv=4r^2\pi\ dr\\\\dv=4(16)\times 0.2\pi\\\\dv=12.8\pi

So, the volume of shell is 12.8π mm².

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Is this a discrete or continuous function? Explain.
faust18 [17]

A graph with points (-5, -2), (1, 5), and (-5, 5) represents a discrete function.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

<h3>What is a discrete function?</h3>

A discrete function can be defined as a type of function in which the ordered pair of values on the x-axis and y-axis are separate from each other and unconnected.

In conclusion, the function which this graph represents is a discrete function because both the domain (-5, 1) and range (-2, 5) have discrete set of values, rather than intervals.

Read more on discrete function here: brainly.com/question/25304788

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3 0
1 year ago
The measure of one angle is six more than half the measure of another angle. If the angles are complementary, find both measures
Snowcat [4.5K]

Answer:

The measures of the two angles are 34° and 56°

Step-by-step explanation:

* Lets explain how to solve the problem

- The complementary angles are the angles whose the sum

  of their measures is 90°

- The measure of one angle is six more than half the measure

 of another angle

- Let the measure of the second angle angle is x

∵ The measure of the 2nd angle is x

∵ The measure of the first angle is 6 more than the half of the

  measure of the second angle

∴ The 1st angle is 6 + 1/2 x

∵ The two angles are complementary

∴ The sum of their measures is 90°

∴ x + (6 + 1/2 x) = 90

∴ (x + 1/2 x) + 6 = 90

∴ 3/2 x + 6 = 90

- Subtract 6 from both sides

∴ 3/2 x = 84

- Multiply both sides by

∴ 3x = 168

- Divide both sides by 3

∴ x = 56

∵ x is the measure of the 2nd angle

∴ The measure of the 2nd angle is 56°

∵ The measure of the 1st angle = 6 + 1/2 x

∵ x = 56

∴ The measure of the 1st angle = 6 + 1/2(56) = 34°

* The measures of the two angles are 34° and 56°

4 0
3 years ago
What is 27/6 written as a decimal?<br><br> 4.2<br> 4.3<br> 4.4<br> 4.5
yawa3891 [41]
27/6 can be written as 27 divided by 6 to make it easier for you to understand the answer would be 4.5 
4 0
3 years ago
2(v + 1). Simplify the expression
serg [7]

Answer:

2v+2

Step-by-step explanation:

8 0
3 years ago
Mr. Smith baked 144 blueberry pies, some strawberry pies, and some apple pies. The number of apple pies is 4\5 of the number of
Leviafan [203]
B = 144
a = 4/5s
s = a + 24

s = 4/5s + 24
5/5s - 4/5s = 24
1/5s = 24
s = 24 * 5
s = 120

a = 4/5s
a = 4/5(120)
a = 480/5
a = 96

blueberry pies = 144
total of all pies = 144 + 120 + 96 = 360

percent of blueberry pies is : 144/360 = 0.40 = 40% <==

6 0
3 years ago
Read 2 more answers
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