Use differentials to estimate the amount of metal in a closed cylindrical can that is 22 cm high and 10 cm in diameter if the metal in the top and the bottom is 0.4 cm thick and the metal in the sides is 0.05 cm thick. (Round your answer to two decimal places.) cm3

Answers

Answer 1

Answer:

97.43cm³

Step-by-step explanation:

h = 22cm

d = 10cm

r = d/2

= 10/2

= 5

dh = 2(0.4)

= 0.8

dr = 0.05

V = πr²h

dV = d(πr²h)

Such that

πd(r²h)

= π[(r²dh + hd(r²)]

dV = π[(r²dh + 2rhdr]------(1)

When we put the values above in this equation 1 above:

dV = π[(5)²*0.8 + 2*5*22*0.05]

= π(25*0.8+11)

= π31cm³

Multiply the value of pi with 31cm³

= 97.43cm³


Related Questions

7n-15=41 What is the answer for n I will give you branlist​

Answers

Answer:

n= -5

Step-by-step explanation:

Add 15 on both sides
you’ll end up with 56
7n=56
Divide both sides by 7
Answer: 8

12x + 16 = 100
100
(Equation)
Solve it and show your work!
15
Simon & Iris earned money
by selling candy. They
earned $12 by recycling.
They split the total and
each got $100. How much
did they earn selling
candy?
Speaker notes

Answers

Answer:

1. x = 7

Step-by-step explanation:

12x + 16 = 100

12x = 84

x = 7

Answer:

1. x = 7

2. Simon and Iris earned $212 selling candy.

Step-by-step explanation:

1. 12(7) + 16 = 100

  84 + 16 = 100

  100 = 100

  Therefore, x = 7.

2. If they split the price by 2, then we need to multiply $100 by 2.

100 x 2 = $200

   $200 + $12 = $212

 Therefore, Simon and Iris earned $212 selling candy.

The radius of a sphere is 3 inches. Which represents the volume of the sphere?
O 121 Cubic inches
O 367 cubic inches
O 641 cubic inches
O 817 cubic inches

Answers

Answer: A.

Step-by-step explanation: The formula for the volume of a sphere is 4/3 x pi x radius cubed. The final answer is approx 121.1, which rounds down to 121. Brainliest plz

The option that represents the volume of the sphere given the radius is 113.04 in³.

What is the volume of the sphere?

The volume of the sphere is the space occupied within the sphere.

Volume of a sphere = 4/3 x pi x r³

4/3 x (22/7) x 3³ = 113.04 in³

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Anybody know the answer??

Answers

Answer:

The answer is 5

Step-by-step explanation:

2x+7=17

2x=10

x=5

If u have more questions just ask

Brainliest Please

Need answer asap ...........

Answers

Answer:

25

25

Step-by-step explanation:

3^3 + 10 - 2 * 6

27 + 10 - 12

25

c

10^2 / 2^2

100 / 4

25

Answer:

B.)25

C.) 25

Step-by-step explanation:

B.) 3^3=27

27+10=37

37- 12= 25

_________________________________________

C.) 10^2= 100

100/ 2^2= 25

Brainliest? I am trying to earn a new rank so I can help more people and I would totally appreciate it if you did! Merry Christmas!

7th-grade question
3. Aliya hikes up a mountain for 2 hours. During this time, she hikes a
distance of 1 1/3 miles. Which expression shows Aliya’s rate in miles per
hour?

A. 1 1/3 miles
2 hours

B. 2 hours+ 1 1/3 miles.

C. 1 1.3 miles--2 hours

D. 2 hours
1 1/3 miles

Answers

Answer:

It is A if the expression is written like a rate/fraction --->

1 1/3 miles

---------------

2 hours

Step-by-step explanation:

If the expression is written like that then the answer is A.

This is because something per hours would mean hours would be on the bottom.

example:

rate

-------

per hour

hope this helps :)

You need to solve a system of equations. You decide to use the elimination
method. Which of these is not allowed?

Answers

The step that is not allowed is (b) add the left side of equation 2 to the left side of equation 1

How to determine the disallowed step?

The system of equations is given as:

2x - 3y = 12

-2x + y = 8

Adding the two equations would eliminate x.Multiplying the second equation by 3 and then subtracting the resulting equation from (1) would eliminate y

This means that the step that is not allowed is (b)

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By rounding to 1 significant figure, estimate the answers to these questions:
a) 687 × 164
b) 476 × 2354
c) 8612 × 1497

Answers

The rounding of the numbers to 1 significant figure are-

a) 687 × 164 = 140000

b) 476 × 2354 = 1000000

c) 8612 × 1497 = 9000000.

What is defined as the significant figure?The term significant figures describes the number of significant single digits (0 to several 9 inclusive) in a scientific notation coefficient. The number of significant figures inside an expression indicates the degree of certainty or precision with where an engineer or scientist states a number.All zeros to the right of the decimals but to the left of a non-zero number in a decimal number between 0 and 1 are not significant. 0.00247, for example, only has three significant figures.

a) 687×164

This number can be written in form of rounding to 1 significant figure as;

700 × 200 = 140000

b) 476×2354

As, the number can be written in form of rounding to 1 significant figure as;

500 × 2000=1000000

c) 8612×1497

These number can be written in form of rounding to 1 significant figure as;

9000×1000=9000000

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The Cost Saver Grocery Club sells sheet cakes. Each 1/8 sheet of cake requires 0.65 teaspoon of baking soda.

How much baking soda is needed for a full sheet cake? Show your work

Answers

The amount of baking soda needed for a full sheet cake is 5.20 teaspoons.

How many baking soda is needed?

A fraction is a non-integer that is made up of a numerator and a denominator that is separated by a horizontal line. The numerator is the number above the horizontal line and the denominator is the number below the horizontal line. An example of a fraction is 1/8.

In order to determine how much baking soda is needed for a full sheet cake, multiply the amount that is needed for 1/8 of the sheet cake by 8. Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

Baking soda needed for a full sheet cake =  8 x 0.65 = 5.2 tablespoons

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⚠️NEED HELP ASPA⚠️
Determine whether each pair of triangles is similar. Justify your answer.

Answers

So the answer is A. The way to check if triangles are similar is find the ratio and make sure they are equal.
For example if you divide 42 by 27 you get 1.55
And if you do that to all the sides you also get 1.55 so therefore they are similar

where would -10 appear on a number line

Answers

Answer:

negatives to the left of 0, positives to the right of 0.

My lunch
was $5.65. If this is
my change, how much did
give the cashier?

Answers

Answer:

im thinking either b or c im leaning towards b

Step-by-step explanation:

Find the instantaneous rate of change of the function
f(x)=2x^3−3x at the point (2,10)

A. -3

B. 5

C. 9

D. 21

E. 33

Answers

We can find the instantaneous rate of change at [tex]x=2[/tex] by evaluating the limit

[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2}[/tex]

(i.e. the definition of the derivative)

Since

[tex]f(x) = 2x^3 - 3x \implies f(2) = 10[/tex]

we have

[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = \lim_{x\to3} \frac{2x^3 - 3x - 10}{x - 2}[/tex]

Note that [tex]2x^3-3x-10=0[/tex] when [tex]x=2[/tex], which means [tex]x-2[/tex] divides the numerator exactly. By polynomial division, we can show

[tex]\dfrac{2x^3 - 3x - 10}{x - 2} = 2x^2 + 4x + 5[/tex]

Then in the limit, we can write

[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = \lim_{x\to2} \frac{(x-2) (2x^2 + 4x + 5)}{x - 2}[/tex]

As [tex]x\neq2[/tex], we can cancel the factors of [tex]x-2[/tex].

[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = \lim_{x\to2} (2x^2 + 4x + 5)[/tex]

The function in the remaining limit is continuous at [tex]x=2[/tex], so we can directly substitute [tex]x=2[/tex] to get its value,

[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = 2\cdot2^2 + 4\cdot2 + 5 = \boxed{21}[/tex]

(D)

PLEASE HELP ILL GIVE 5* AND THANKS.

Answers

Ok so a) is integers
And b) is 21

Explaining for B
From 1-3 he added 2
From 3-6 he added 3
From 6-10 he added 4
From 10-15 he added 5
So we r gonna continue the sequence by adding 6
15-21 we added 6

Square root 8 natural number

Answers

Answer:

it's Not a perfect square because 3.9x2.9 is 8.41 which means it isn't a perfect square

HELP ONE HOUR LEFT One of the most common uses of exponents is when dealing with scientific notation. Recall that 3.2×10¹
is written in scientific notation where 10 is being raised to the 4th power. If 3.2x10' is the length of a park
in meters and 2.5×106 is the width in meters, what is the area of the park if it is in the shape of a rectangle?
It may help to write the terms out as an extended product and then regroup them.
Area = Length x Width = (3.2×10¹) (2.5×10) =

Answers

Using scientific notation, the area of the park, in m², is given by:

[tex]A = 8 \times 10^{10}[/tex]

What is scientific notation?

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

When two numbers in scientific notation are multiplied, we have that:

The bases are multiplied.The base 10 is kept, while the exponents are added.

Hence the area of the park is given by:

[tex]A = 3.2 \times 2.5 \times 10^{4 + 6} = 8 \times 10^{10}[/tex]

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the unit rate of 2/1 equivalent to the ratio 4/6: 9/12. True or false?

Answers

Answer:

I think true.

Step-by-step explanation:

Use calculus to find the area A of the triangle with the given vertices.
(0, 0), (4, 1), (2,6)​

Answers

The area A of the triangle with the given vertices is 13 square units

How to determine the area A of the triangle with the given vertices?

The vertices are given as

(0, 0), (4, 1), (2,6)​

The area is calculated as

Area = 1/2 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|

So, we have

Area = 1/2 * |0 * (1 - 6) + 4 * (0 - 6) + 2 *(0 - 1)|

Evaluate the sum of products

So, we have

Area = 1/2 * |-26|

Remove the absolute bracket

Area = 1/2 * 26

Evaluate the products

Area = 13

Hence, the area A of the triangle with the given vertices is 13 square units

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At a baseball game, 6,425 people sit in 8 sections of stands. Each section holds about the same number of people. About how many people are seated in each section?​

Answers

Answer:

803

(This is not necessary don't worry about this)

A ball is drawn randomly from a jar that contains 7 red balls, 5 white balls, and 4 yellow ball. Find the probability of the given event.

Answers

Missing Part:

a. A red ball is drawn

b. A white ball is drawn

Answer:

a. [tex]P(Red) = 0.4375[/tex]

b. [tex]P(White) = 0.3125[/tex]

Step-by-step explanation:

Given

[tex]Red = 7[/tex]

[tex]White = 5[/tex]

[tex]Yellow = 4[/tex]

First, we need to calculate the total

[tex]Total = Red + White + Yellow[/tex]

[tex]Total = 7+5+4[/tex]

[tex]Total = 16[/tex]

Solving (a): Probability of Red.

This is calculated by dividing number of red balls by the total

So:

[tex]P(Red) = \frac{Red}{Total}[/tex]

[tex]P(Red) = \frac{7}{16}[/tex]

[tex]P(Red) = 0.4375[/tex]

Solving (a): Probability of White.

This is calculated by dividing number of white balls by the total

So:

[tex]P(White) = \frac{White}{Total}[/tex]

[tex]P(White) = \frac{5}{16}[/tex]

[tex]P(White) = 0.3125[/tex]

The total weight of 50 identical marbles

Answers

Answer:

Is there more parts of the answer?

Answer:

50 * mass per marble

Step-by-step explanation:

Total weight is weight per marble mutiplied by amount of marbles (N*m = M)

The least common multiple of two numbers is 24. Which could be the two numbers?
6 and 8
4 and 6
8 and 16
4 and 12

Answers

Answer:

4 and 6 I hope this is right!!

Answer:

4 and 6

Step-by-step explanation:

PLZ HELP ME BRAINLIEST IF CORRECT AND HEART AND 5 STAR RATE

Answers

Answer:

15

Step-by-step explanation:

EVERY 5 SECONDS THE BIRD GETS 75 MILES FASTER AND TRAVELS THE SAME. BRAINLIEST????

What is the area of this rectangle?
2.5 m
2 m

Answers

Answer:

5

Step-by-step explanation:

PLEASE HELP ASAP. THANK YOU

Answers

Answer:

i think it is 15 for x

and i think it's 10 for y

Step-by-step explanation:

tell me if i'm wrong

Choose the correct answer.

Conjunctions that connect words, phrases, or clauses that are similar are called __________ conjunctions.


A) subordinate


B) correlative


C) coordinating


PLS HELP!

Answers

Conjunctions are words that join together other words or groups of words. A coordinating conjunction connects words, phrases, and clauses of equal importance.

Answer C. Coordinating

Answer:

A) Subordinate

Step-by-step explanation:

it could help

Find an equation of the tangent line to the graph of
y = g(x) at x = 3 if g(3) = −6 and g'(3) = 4.
(Enter your answer as an equation in terms of y and x.)

Answers

The line tangent to g(x) at x = 3 is:

y = 4*x - 18

How to find the equation of the tangent line?

If we have a function y = f(x), the slope of the line tangent at the point x = a is given by f'(a).

In this case, we know that g'(3) = 4, so the slope of the line is 4.

Then the line is something like:

y = 4*x + b

To find the value of b we use the fact that this line must pass through the point (3, g(3))

And we know that g(3) = -6

Then this line must pass through the point (3, -6), replacing that we get:

-6 = 4*3 + b

-6 = 12 + b

-6 - 12 = b = -18

Then the tangent line is:

y = 4*x - 18

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Sonji bought a combination lock that opens with a four-digit number created using the digits 0 through 9. The same digit
cannot be used more than once in the combination.
It Sonji wants the last digit to be a 7 and the order of the digits matters, how many ways can the remaining digits be
chosen?
84
504
O 3,024
O 60,480
Mark this and return
Save and Exit
Next
Submnit

Answers

Answer:

it would be x =11*49

Step-by-step explanation:

Answer:

504

Step-by-step explanation:

The answer to the inequality, |3x| < -6, is no solution.

Why isn't there a solution to this inequality? Please explain your thinking.

Answers

Answer:

x < -2 and x > 2

Step-by-step explanation:

Given the inequality |3x| < -6

The function inside modulus can take both positive and negative value.

For the positive value;

3x < -6

x < -6/3

x < -2

For the negative value;

-3x < -6

-3x/-3 > -6/-3

x > 2

Hence the solution to the inequality is x < -2 and x > 2

Plz, answer. Will mark brainiest. Please! 50 points!!!

Answers

Answer:

12%

(12ish at least, I don't know if this problem requires the exact decimal.)

Answer:

12%

Step-by-step explanation:

:)

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