Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high and 24 cm in diameter if the metal in the top and bottom is 0.1 cm thick, and the metal in the sides is 0.05 cm thick. Note, you are approximating the volume of metal which makes up the can (i.e. melt the can into a blob and measure its volume), not the volume it encloses. The differential for the volume is

Answers

Answer 1

Answer:

dV ≈ 927.4 cm³

Step-by-step explanation:

Formula for volume of a cylinder is;

V = πr²h

Using differentials, we have;

dV = (dV/dr)dr + (dV/dh)dh

Now, dV/dr = 2πrh

dV/dh = πr²

Thus, at r = 24/2 = 12 cm

And at h = 60 cm, we have;

dV/dr = 2π(12 × 60)

dV/dr = 4523.89 cm²

Also;

dV/dh = π(12)²

dV/dh = 452.39 cm²

the metal in the top and bottom is 0.1 cm thick. Thus, dr = 2 × 0.1 = 0.2

the metal in the sides is 0.05 cm thick. Thus; dh = 0.05

Thus;

dV = (4523.89 × 0.2) + (452.39 × 0.05)

dV ≈ 927.4 cm³


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Which sequence is modeled by the graph below? (6 points)

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Answer:

Step-by-step explanation:

need to know how to measure the radius of m

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Answer:

B. 7.4 units

Step-by-step explanation:

If M is the center then radius is just distance from M to outer edge.

Answer please 10 points

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Answer:

3/4 to 9/6

Step-by-step explanation:

Below is the graph of f(x) = 3 log10^ x. How would you describe the graph of
g(x) = 9 log10^x?
A. g(x) shifts f(x) to the right 3 units.
B. g(x) shifts f(x) up 3 units.
C. g(x) compresses f(x) by a factor of 3.
O
D. g(x) stretches f(x) vertically by a factor of 3

Answers

Answer:c

Step-by-step explanation:

Answer:D g(x) stretches f(x) vertically by a factor of 3.

Step-by-step explanation: ape3

Will name brainliest
Congruence proofs and reasons
Reasons must be from this list:
Reflexive property, segment bisector, angle bisector, linear pair, transitive property, perpendicular, SAS, ASA, CPCTC, AAS, HL, and SSS
Every word may not be used, but each may not be used more than once.
Answers must be structured as:
17,
2:
3(1):
3(2):
18,
2:
3:
4(1):
4(2):
19,
2:
3:
4:
5:
6:
7(1):
7(2):
20,
2:
3:
4:

Answers

Answer:

huh? Can you put it in a pdf

Step-by-step explanation:

You work as a residential painter. A customer wants two tables and eight chairs painted using one coat of the same color paint. Each table requires 15858 quarts of paint, and each chair requires 2323 quarts of paint. How many total quarts of paint should you bring to paint this furniture?

Answers

Step-by-step explanation:

Let t be the number of tables

Let c be the number of chairs

Total paint needed = 15858t + 2323c

Given t = 2 and c = 8, substitute t and c into expression to find total paint needed

Total Paint needed = 15858(2) + 2323(8)

= 31716 + 18584

= 50300 quarts of paint

what is 8 (x/4 - 6) < 4

Answers

Answer:

x<26

Step-by-step explanation:

8(x/4 - 6) < 4

Divide both sides by 8;

8(x/4 - 6)/8 < 4/8

Simplify;

x/4-6<1/2

Add 6 to both sides;

x/4-6+6<1/2+6

Simplify;

x/4-6+6<1/2+6

Simplify

x/4-6+6

=x/4

Simplify;

1/2+6

Convert it into a fraction;

6*2/2+1/2

Since the denominators are equal combine the fractions;

6*2+1/2

6*2+1=13

=13/2

x/4<13/2

Multiply both sides by 4;

4x/4<13*4/2

Simplify 4x/4

4x/4

4/4=1

=x

Simplify 13*4/2

Multiply the numbers:13*4=52

=52/2

Divide the numbers:52/2=26

=26

x<26

HOPE THIS HELPED!!!

Find the area of a parallelogram with vertices (-7, 2), (6, 2), (6, -5), and (-7, -5). Use the coordinate grid below to help you find your answer.

Answers

Answer:91

Step-by-step explanation:

There are 4 seats available at a table in the lunch room of an elementary school, and 12 students are looking for seats. In how many ways can the seats at the table be filled with 4 of these 12 students?
495
2,970
11,880
20,736

Answers

Answer:

495

Step-by-step explanation:

12 Choose 4 = (12!) / 4! 8! = (12 · 11 · 10 · 9) / (4 · 3 · 2) = 495

if you help me you are a sweet sweet sweet angel

Answers

Answer:

the last option

option four or D

Step-by-step explanation:

have a great day :)

I WILL GIVE BRAINLIEST IF YOU HELP THIS IS REALLY HARD FOR ME I HAVE THE FIRST TWO JUST THE LAST ONE PLEASE ALSO EXPLAIN HOW YOU GET YOUR ANSWER THANK YOU SO MUCHHH!!!!

Answers

Answer:

n ≥ -1 or n ≤ 3

Combined:

-1 ≤ n ≤ 3

Since the inequalities are ≤, it'll be a closed circle

The closed circle will start AT -1 and another closed circle will end at 3

What is the median of the data represented by the box plot?

Answers

Answer:

20

Step-by-step explanation:

20 is the median, or middle value, of all values in the data set

A right triangle has side lengths d, e, and f as shown below.
Use these lengths to find tanx, sinx, and cosx.

Answers

Answer:

tanx=d/f, sinx=d/e, cosx=f/e

Step-by-step explanation:

Find the opposite, Adjacent and hypotenuse of the right triangle.

Opposite= d , Adjacent= f, Hypotenuse= e

Tanx = opposite/adjacent

Sinx= opposite/hypotenuse

Cosx= adcajent/hypotenuse

The safest way for someone to make an online purchase is to
A.ask friends what websites are secure.
B.check with the government first.
C.buy from a reputable website.
D. visit a locally run website.

Answers

Answer:

It is C - buy from a reputable website

Step-by-step explanation:

I got it right on the quiz. Good luck and may the Lord bless you!

Step-by-step explanation:

The safest way for someone to make an online purchase is to buy from a reputable website.

We have given that,

A.ask friends what websites are secure.

B.check with the government first.

C.buy from a reputable website.

D. visit a locally run website.

We have to determine

The safest way for someone to make an online purchase is to

What is the online purchases?

Online shopping is a form of electronic commerce that allows consumers to directly buy goods or services from a seller over the Internet using a web browser or a mobile app.

Therefore option C is correct.

Therefore the safest way for someone to make an online purchase is to buy from a reputable website.

To learn more about the online purchases visit:

https://brainly.com/question/14414476

#SPJ2

Find the quadratic root of 3 x² - 4x + 2​

Answers

Answer:

it has no real roots.

and the 2nd answer is correct.

Step-by-step explanation:

Answer:

this quadratic equation has two roots:

x = (2+i√(2))/3 , (2-i√(2))/3

Steps:

3x²-4x+2​=0

x = (4±√((-4)²-4×3×2))/2×3

x = (4±√(16-24))/6

x = (4±√(-8))/6

x = (4±√(-2×4))/6

x = (4±√(-2)×√(4))/6

x = (4±i√(2)×2)/6

x = (2±i√(2))/3

x = (2+i√(2))/3 , (2-i√(2))/3

help meeeeee plzzzzzz asap Find the area of the shaded regions.​

Answers

Area of a circle is PI x r^2

The radius of the large circle is shown as 8 m

The diameter of A is the radius of the large circle which is 8 m so the radius would be 4 m

The radius of the small circle would be 2m

Area of large circle = pi x 8^2 = 64pi = 200.96 square m

Area of middle circle = pi x 4^2 = 16pi = 50.24 square m.

Area of small circle = pi x 2^2 = 4pi = 12.56 square m.

The area of the shaded region = large - middle + small

Area = 64pi - 16pi + 4pi = p2pi square m or 200.96 -50.24 + 12.56 = 163.28 square m.


please help with this ixl question

Answers

Answer:

I think it would be 25 hours

Step-by-step explanation:

Im not exactly sure but if she prepared 25 kg all together and prepares 1 kg every hour, then i think that would be 25 hours.

I hope this helps :)

Please tell me if im wrong

A sewing instructor asked his students how many spools of knitting yarn they carried in their sewing kits. The table shows the data he recorded.

Answers

I think the answer is mean. (The average) it could also be “mean average deviation” but I’m not sure what that one means...

find the surface area of this prism. geometry hw

Answers

Answer:

395.2 cm²

Step-by-step explanation:

2x12.7x6.72=170.688

2x6.72x5.78=77.6832

2x5.78x12.7=146.812

170.688+77.6832+146.812=395.1832

Answer:  A=395.2

Step-by-step explanation:

A=2(wl+hl+hw)

A=2[(12.7x5.78)+(6.72x5.78)+(6.72x12.7)]

A=2(73.406+38.8416+85.344)

A=2(197.5916)

A=395.1832

Rounded to nearest tenth..

A=395.2

Bill buys a large can of paint. The size of the can measured in which units

Answers

Answer:

Paint is measured in gallons

Step-by-step explanation:

You measure paint in gallons

Juliette is a waitrees at Applebee's. The total for one of the tables she served was $51.87. The table wants to leave her an 18% tip. How much should Juliette make for her tip?​

Answers

Answer:

They should leave Juliette about a $9.34 tip  because 18% of 51.87 is 9.3366 which rounds up to 9.34

Answer:

18% of $51.87=9.3366tip is a required tip.

Count the units from (2,4) to (-2,-6).How many blocks are between Jenna’s apartment and Zac’s house

Answers

Answer:

Distance = 10.77 unit (Approx.

Step-by-step explanation:

Given:

Coordinate of Jenna's house = (2,4)

Coordinate of Zac's house = (-2,-6)

Find:

Distance

Computation:

Distance = √(X1 - X2)² + (Y1 - Y2)²

Distance = √(2 + 2)² + (4 + 6)²

Distance = √(2 + 2)² + (10)²

Distance = √16 + 100

Distance = √116

Distance = 10.77 unit (Approx.

Plot points on the number line to represent all whole numbers that round to 200 to the nearest hundred and 250 when rounded to the nearest ten.

Answers

Answer:

To round a number to the nearest hundred, you make it into the hundred that is closest. Take the number 246, for example, which is between 200 and 300. It is closer to 200. So 246 rounded to the nearest hundred is 200.

explain C = 15 + 0.6Yd

Answers

explain what exactly ? are we solving for a variable ?

Kathleen bought some glasses. She received a rebate of $50. Of her glasses cost $125, how much did she pay?

Answers

Answer:

You will pay $62.5 for a item with original price of $125 when discounted 50%. In this example, if you buy an item at $125 with 50% discount, you will pay 125 - 62.5 = 62.5 dollars.

Step-by-step explanation:


Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term
is two times the fifth term. Find the common difference and the first term.


Answers

Answer:

The first term is -6 and common difference is 3

Step-by-step explanation:

The nth term of an arithmetic progression is expressed as;

Tn = a + (n-1)d

T3 = a+2d

T4 = a + 3d

If the third term of an arithmetic sequence less than the fourth term by three

T3 = T4 - 3

a+2d = a+3d - 3

2d - 3d = -3

-d  = -3

d = 3

Similarly;

T7 = a+6d

T5 = a+4d

If the seventh term  is two times the fifth term, the;

T7 = 2T5

a+6d = 2(a+4d)

a+6d = 2a+8d

Since d = 3

a + 6(3) = 2a + 8(3)

a+18 = 2a + 24

a-2a = 24 - 18

-a = 6

a = -6

Hence the first term is -6 and common difference is 3

Simplify the expression:
[tex] ({2x + 5y})^{2} - ({3x + 4y})^{2} [/tex]

Answers

Step-by-step explanation:

the answer is in the picture

Answer:

3x+18y

Step-by-step explanation:

2x+5y+2x+5y-3x+4y+3x+4y

2x+2x-3x+3x+5y+5y+4y+4y

4x-x+10y+8y

3x+18y

I WILL GIVE BRAINLIEST!!

Just need help for questions 88 and 90.

Answers

Q90 is between 44 degrees till 65 degrees

I need help on this!!

Answers

Answer:

C and A

Step-by-step explanation:

Part 1.

The area of a trapezoid is base 1 + base 2 divided by 2 times height.

Base 1 is 38, base 2 is 14, and the height is 16.

38 + 14 = 52, 52 / 2 = 26, and 26 x 16 = 416.

The answer is C, 416.

Part 2.

The area of a kite is diagonal 1 times diagonal 2 divided by 2. The length of diagonal 1 is 12 (on the left) + 12 (on the right) = 24. The length of diagonal 2 is 10 (on the top) + 18 (on the bottom) = 28.

28 x 24 / 2 = 336.

The answer is A, 336

Answer:

336

Step-by-step explanation:

In the figure, there are four triangles

Total Area = sum of four triangles areas

0.5(12*18)*2+0.5(12*10)*2=336

What is the length of side 'y'?

Answers

Answer:

B

Step-by-step explanation:

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