A roll of quarters is shaped like a cylinder and contains 40 each quarter has a thickness of 1.75 and a diameter of 24.26 mm What measurement would be the closest to the volume of one roll of quarters in cubic millimeters

A) 5,335mm
B) 6,256mm
C) 129,428mm
D) 32,357mm

Answers

Answer 1

Answer:

D) 32,357mm^3

Step-by-step explanation:

Given

[tex]Quarters = 40[/tex]

[tex]Thickness = 1.75mm[/tex]

[tex]diameter = 24.26mm[/tex]

First, we calculate the volume of 1 roll.

The volume of the cylinder is:

[tex]V = \pi r^2h[/tex]

Where

[tex]r = \frac{1}{2} * diameter[/tex]

[tex]r = \frac{1}{2} * 24.26mm[/tex]

[tex]r = 12.13mm[/tex]

And the thickness represents the height.

So:

The volume is:

[tex]V = 3.142 * 12.13^2 * 1.75[/tex]

[tex]V = 809.03mm^3[/tex]

The volume of the 40 is:

[tex]Roll= 40 * 809.03mm^3[/tex]

[tex]Roll=32361.20mm^3[/tex]

The closest option is (d):


Related Questions

Kara bought a gift for her nephew. She spent $25 on the gift. Sales tax was 6.75%. What was the total cost for the gift , including tax?

Answers

To find total price multiply the cost of the item by 1 + tax rate.

25 x 1+6.75% = 25 x 1.0675 = 26.69

The total cost was $26.69

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale.​

Answers

Answer:

x = 7[tex]\sqrt{2}[/tex] and y = 7

Step-by-step explanation:

Since this is 45 45 90 triangle, each leg is the same length so y = 7 too and x is always [tex]a\sqrt{2}[/tex]  so x = 7[tex]\sqrt{2}[/tex]

The values of [tex]x[/tex] and [tex]y[/tex] are required.

The required values are

[tex]x=9.9\ \text{units}[/tex]

[tex]y=7\ \text{units}[/tex]

The given triangle is a right angled triangle.

Two given angles are [tex]90^{\circ}[/tex] and [tex]45^{\circ}[/tex]

The sum of the angles is [tex]180^{\circ}[/tex]

The missing angle is

[tex]180-(90+45)=45^{\circ}[/tex]

Since, the two angles are equal the side opposite the angles will also be equal.

So,

[tex]y=7[/tex]

Applying the Pythagoras theorem.

[tex]7^2+7^2=x^2\\\Rightarrow x=\sqrt{7^2+7^2}\\\Rightarrow x\approx 9.9[/tex]

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This histogram shows the number of shoppers in various age groups at a clothing store.
How many shoppers are at least 20 years old?
a. 7 shoppers
b. 12 shoppers
c. 13 shoppers
d. 18 shoppers

Answers

Where the historagram

Answer:

12

Step-by-step explanation:

I took the k12 test and 12 was correct, all though these test may look the same but numbers and questions are asked just alike but different so this answer might not work for you, hope this helps!

which of the following numbers are square numbers select all that apply 2,6,8,9 ​

Answers

Answer: Only nine.

Step-by-step explanation: Nine squared is three.  Have a blessed day.

hii please help i’ll give brainliest!!

Answers

I think it’s The mass of box

A coordinate plane is used to track the movement of a ship. The ship moved from (8, - 4) to (11, 11) on the coordinate plane. Which of the following translations describes the movement of the ship?

Answers

Answer:

the ship moved 4 coordinates away from the current position

Step-by-step explanation:

because 8-4 is 4

In the coordinate plane,

The ship moved 3 units right and 14 units up.

What is translation?

A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

Given:

A coordinate plane is used to track the movement of a ship.

The ship moved from (8, - 4) to (11, 11) on the coordinate plane.

The translation:

(11, 11) → (11 - 8, 11 +4) = (3, 14)

That means,

The ship moved 3 units right and 14 units up.

Therefore, hip moved 3 units right and 14 units up.

To learn more about the translation in geometry;

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plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

(-2) and 3

Step-by-step explanation:

Answer:

f=-2, f=3, f=-4, they are all smaller than 4!!!

Help pleaseeeeee!! D:
Find the perimeter of the trapezoid below:

NO CAP PLEASE, TAKE YOUR TIME!!!

Answers

Answer:

Perimeter = 82 units

Step-by-step explanation:

Find:

Perimeter

Computation:

Unknown height = 13 + x

So,

25² = x² + 24²

x = 7

So,

Unknown height = 13 + 7

Unknown height = 20 unit

Perimeter = 25 + 24 + 13 + 20

Perimeter = 82 units

Write the equation of the line shown on the graph in slope-intercept form.

Has to be in slope-intercept form.

Answers

Answer:

1/1

it would be rise over run (rise/run) where the line rises 1 and runs 1. good luck. the answer could just be 1.

Mai drove 320 miles using 12 gallons of gas. At this rate, how many gallons of gas would she need to drive 296 miles?

Answers

Answer:

11.1

Step-by-step explanation:

320/ 12 = 26 2/3

296 / (26 2/3) = 11.1


Does each of the following result in
X^2– 100?
A (x-90) + (x - 10)
B (x - 9)^2 – 19
C x(x – 100)
D (x + 10)(x - 10)

Answers

Answer :
D - (x+10)(x-10)


Solution:
x^2 -100
= x^2 - 10^2
= (x+10)(x-10) { a^2 -b^2 = (a+b)(a-b)

Simplify (write without the absolute value sign):

|x÷3|, if x < 0

Answers

Answer:

0

Step-by-step explanation:

zero divided by anything that is integral is zero and 3 in a integer

0

Answer:

0

Step-by-step explanation:

Please help me I will give brainlest if right
What is the complete factorization of the polynomial below?
x^2 + 4x^2 + 16x + 64
O A. (x-4)(x + 4i)(x + 4i)
B. (x + 4)(x + 4i)(x + 4i)
C. (x + 4)(x + 4i)(x-4i)
O D. (x-4)(x + 4i)(x-4i)

Answers

Given:

Consider the given polynomial is:

[tex]x^3+4x^2+16x+64[/tex]

To find:

The complete factorization of the given polynomial.

Solution:

We have,

[tex]x^3+4x^2+16x+64[/tex]

Using grouping method, we get

[tex]=(x^3+4x^2)+(16x+64)[/tex]

[tex]=x^2(x+4)+16(x+4)[/tex]

[tex]=(x+4)(x^2+16)[/tex]

[tex]=(x+4)(x+4i)(x-4i)[/tex]         [tex][\because x^2+y^2=(x+iy)(x-iy)][/tex]

Therefore, the correct option is C.

You place two wooden support beams under a shelf, as shown. Find the value of x. (3x-13 ) (x- 3) x=

Answers

Answer:

x = 49

Step-by-step explanation:

Fins the similar diagram attached;

The sum of the angles is 180 degree since they lie on the same straight line. Hence;

3x - 13 + x - 3 = 180

Collect the like terms;

3x+x -13 - 3 = 180

4x - 16 = 180

4x = 180 + 16

4x = 196

x = 196/4

x = 49

Hence the value of x is 49

Note that the values in question is different from that of diagram but the diagram is similar to what we need

write (3a^3)^2 without exponents

Answers

Answer:

9 x a x a x a x a x a x a

Step-by-step explanation:

[tex](3a^{3})^{2} = 9a^{6} \\[/tex]  Here, we use the law of indices. Everything inside the bracket has to be squared, so 3^2 = 9 and (a^3)^2 = a^6 We use the rule of when one power is within a bracket and one outside, we multiply the two powers together instead of adding.

3^2 can be simplified to 9 as this is simply 3 x 3, but a^6 (this is still a value with an exponent) cannot be simplified so we break this down into the notation of a x a x a x a x a x a

Therefore 9 x a x a x a x a x a x a is the answer.

I hope this helps you!! ^-^

The expansion of (3a³)² without exponents will be 9 x a x a x a x a x a x a.

What is expansion?

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.

In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.

In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.

Given the expression,

(3a³)²

By the law of indices

(3a³)² = 3²(a³)²

(3a³)² = 9a⁶

But we cannot write it in exponent form

So,

9a⁶ = 9 × a x a x a x a x a x a.

Hence "The expansion of (3a³)² without exponents will be 9 x a x a x a x a x a x a".

For more information about the expansion,

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A blood sample has 50,000 bacteria present. a drug fights the bacteria such that every hour the number of bacteria remaining, r(n), decreases by half. If r(n) is an exponential function of the number, n, of hours since the drug was taken, find the bacteria present four hours after administering the drug.

Answers

Answer:

3125 bacteria

Step-by-step explanation:

Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') =  (1/2)r(n) =  (1/2)(1/2)r(0) = (1/2)²r(0).

After n hours, r(n) = (1/2)ⁿr(0)

So when n = 4 hours and r(0) = 50,000, then

r(4) = (1/2)⁴r(0)

r(4) = (1/2)⁴ × 50,000

r(4) = (1/16) × 50,000

r(4) = 3125

So, after 4 hours, we have 3125 bacteria present.

Write an algebraic expression for the following situation: 12 3/4 less than the product of 7 and a number x *

Answers

Answer:

7x - 12 3/4

product of 7 and a number x: 7x

12 3/4 less than the... : - 12 3/4

Answer:

7x - 12 3/4

Step-by-step explanation:

Please help me with my math

Answers

The answer would be 2. To find it, you do 8 - 3 - 3 = 2.
2m!!

All you have to do is subtract 3 and 3 from 8

Brainliest if correct

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

can someone fill this for me?

Answers

Answer:

6.2 by the power of 0 pulse 3

Step-by-step explanation:

Find the triangles area drawing not to scale.

Answers

Answer:

35 lol

Step-by-step explanation:

a = b*h/2

a = 10*7/2

a = 70/2

a = 35 lol

Classify the system. Give the number of solutions.
y=-4x+2
4x + y= -2

Answers

Answer:

No Solution

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

dis is for my friend to answer
A pool table supply company is making a cardboard box to package new cubes of pool cue chalk. Each cube of chalk is 1 cubic inch. The company considers all the ways to arrange 16 cubes of the chalk. (Which arrangement of chalk would require the most cardboard for the box?)
16 inches by 1 inch by 1 inch
8 inches by 2 inches by 1 inch
4 inches by 4 inches by 1 inch
4 inches by 2 inches by 2 inches

Answers

Answer:

-they all require the same amount of card board because if you take all of the numbers times eachother they all come out as 16

-Soo 16 inches by 1 inch by 1 inch

Step-by-step explanation: Hope this help :D

16 inches by 1 inch by 1 inch

Your answer would be D

The probability that comic book reader in a particular city prefers comics published by company A is 25%. The probability that comic book reader in the city's is male 70%

Answers

Complete question is;

The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that a comic book reader in the city is male is 70%. If the probability of a comic book reader in the city being a male, given that the reader prefers Company A's comics, is 40%, what is the probability of the reader preferring Company A's comics, given that the reader is a male?

Answer:

0.14 or 14%

Step-by-step explanation:

We are told that the probability that the comic book readers prefers comics published by company A is 25%.

Thus; P(A) = 25% = 0.25

Also, we are told that the probability that comic book reader is male 70%.

Thus; P(M_r) = 70% = 0.7

We are also told that the probability of a comic book reader being a male, provided that the reader prefers Company A's comics, is 40%.

Thus; P(A|M_r) = 40% = 0.4

To find the probability of the reader preferring Company A's comics, provided that the reader is a male, we will apply baye's theorem.

Thus;

P(M_r|A) = [P(A|M_r) × P(A)]/P(M)

P(M_r|A) = (0.4 × 0.25)/0.7

P(M_r|A) ≈ 0.14

HELP ME!!!!!!!!!!! ANSWER 6-10

Answers

Answer:

LOOK BELOW!

Step-by-step explanation:

6#

6.  (-3, 0)

7. (-1, -2)

8. (-5, -3)

9.  (1, -1)

10.  (1, -2)

how did I get these answers? I used a app called math - way, you can take a photo of the problem youre tryna do an it solves it, yw! :)

[tex]\huge\underline\mathbb\purple{ANSWER\::}\\\\[/tex]

6. (-3,0)

7. (-1,-2)

8. (-5,-3)

9. (1,-1)

10. (1,-2)

[tex]\\\\\\[/tex]

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

The area of circle Z is 64Pi ft2. Circle Z is shown. Radius D has length r. R = StartRoot StartFraction Area Over pi EndFraction EndRoot What is the value of r? r = 4 ft r = 8 ft r = 16 ft r = 32 ft

Answers

Answer:

r = 8 ft

Step-by-step explanation:

Area of a circle => πr²

We are told in the question that:

The area of circle Z is 64Pi ft²

= 64π ft²

What is the value of r

We equate

πr² = 64 π

r² = 64 π/π

r² = 64

We square root both sides.

√r² = √64

r =>8 ft

The radius of the given circle Z is 8ft which was solved using the area of the circle

Data;

Area = 64π ft^2radius = r

Area of a Circle

The formula of area of a circle is given as

[tex]A = \pi r^2[/tex]

Let's substitute the values and solve

[tex]A = 64\pi\\A = \pi r^2 \\64 \pi = \pi r^2\\[/tex]

divide through by π

[tex]64\pi = \pi r^2\\\\64 = r^2\\[/tex]

Let's take the square root of both sides

[tex]r^2 = 64\\r = \sqrt{64} \\r = 8ft[/tex]

The radius of the circle Z is 8ft

Learn more on area of a circle here;

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Which point is located at (4, -3)? will give brainliest


A) A

B) B

C) C

D) none of these

Answers

Answer:

d

Step-by-step explanation:

because if u look at 4 on the right there is no dot there or below it

Answer:

D

Step-by-step explanation:

None of these

Determinan las siguientes tablas muestran magnitudes directamente correlaciones o directamente proporcionales

Answers

Responder:

Los cuadros 89 y 91 presentan proporcionalidad directa

El cuadro 90 muestra una correlación directa.

Explicación paso a paso:

De la imagen adjunta:

Cuadro 89:

Para mostrar proporcionalidad directa:

y α x

y = kx; k = constante de proporcionalidad

Comprobando las tablas:

Cuadro 89:

A = 1,5; B = 3

B = kA; 3 = 1.5k

k = B / A

k = 3 / 1,5 = 2

Usando k = 2;

demuestre que B = 4 cuando A = 2; para establecer proporcionalidad directa.

B = 2 * 2 = 4

Por tanto, el cuadro 89 exhibe proporcionalidad directa

Comprobando las tablas:

Cuadro 90:

C = 2; D = 8

D = kC; 8 = 2k

k = 8/2 = 4

Usando k = 4;

demuestre que D = 9 cuando C = 3; para establecer proporcionalidad directa.

B

D = 4 * 3 = 12

De la tabla, D = 9;

Por tanto, el cuadro 90 presenta una correlación directa pero no una proporcionalidad directa.

Comprobando las tablas:

Cuadro 91:

E = 1; F = 1/2

F = kE; 1/2 = k

k = 1/2

Usando k = 1/2;

demuestre que F = 3/2 cuando E = 3; para establecer proporcionalidad directa.

F = 1/2 * 3 = 3/2

Por tanto, el cuadro 91 presenta proporcionalidad directa.

PLEASE HELP QUICK ILL GIVE YOU BRAINLIEST IF ITS RIGHT!!!​

Answers

Answer: 5 x 2 1/2 x 1 1/2

Step-by-step explanation: To figure it out you have to use the fromula for volume, V= W x L x H.

Hope that helps :)

Someone help plz and make sure its right

Answers

Answer:

12.1 yd

Step-by-Step Explanation:

12.14 yd; round and get 12.1 yd

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