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Citrus2011
23 days ago
10

The height of a cylinder is twice the radius of its base. A cylinder has a height of 2 x and a radius of x. What expression repr

esents the volume of the cylinder, in cubic units? 4πx2 2πx3 πx2 + 2x 2 + πx3
Mathematics
2 answers:
Leona [12.1K]23 days ago
8 0
Let x denote the radius of the cylinder. Given that its height is double the radius, the cylinder's height equals 2x. To compute the volume, we apply the appropriate formula. By substituting r = x and h = 2x, we can derive that the volume equals 2πx³ in cubic units. Hence, option b is the correct choice.
AnnZ [11.9K]23 days ago
3 0
B
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What is the product of 2x2 – 3xy + y2 and 2x – 4y?
AnnZ [11994]

Answer:

C. 4x^3 - 14x^2y + 14xy^2 - 4y^3

Step-by-step explanation:

Given:

Multiplication of 2x^2 – 3xy + y^2 and 2x – 4y

Multiplication refers to the product

(2x^2 – 3xy + y^2) (2x – 4y)

Expand the brackets

= 4x^3 - 8x^2y - 6x^2y + 12xy^2 + 2xy^2 - 4y^3

Combine like terms

= 4x^3 - 14x^2y + 14xy^2 - 4y^3

The result is

C. 4x^3 - 14x^2y + 14xy^2 - 4y^3

8 0
1 month ago
Jada plans to serve milk and healthy cookies for a book club meeting. She is preparing 12 ounces of milk and 4 cookies per perso
Zina [12044]

Jada intends to provide milk and nutritious cookies at a gathering for her book club. She has planned to offer 12 ounces of milk and 4 cookies for each participant. With her included, the total number of club members is 15. Each package of cookies has 24 cookies and is priced at $4.50. A gallon of milk has 128 ounces and costs $3. Let n denote the club members, m for the ounces of milk, c for the cookies, and b for Jada's budget in dollars. Identify all equations that could represent the relevant quantities and constraints in this scenario.

â m = 12(15)

n refers to the club members

b. 3m + 4.5c = 6

c. 4n =

m stands for ounces of milk

& 44.50) = C

c indicates the cookies

e b=2(3) + 3(4.50)

b denotes Jada's budget in

currency

The equations applicable for representing the quantities and constraints in this scenario are:

a) m = 12(15)

c)4n = c

e) b = 2(3) + 3(4.50)

Detailed explanation:

Jada is set to provide milk and nutritious cookies for her book club meeting

She plans to prepare 12 ounces of milk and 4 cookies for each individual

She has 15 members in total

A pack of cookies contains 24 cookies and costs $4.50

A gallon of milk has 128 ounces and costs $3

Designate the total members by n

Ounces of milk = m

The number of cookies = c

Jada's budget in dollars = d

y = 12(15)

Each individual will receive 4 cookies

4n = c

As one pack contains 24 cookies

She requires = 15 × 4 = 60 cookies

60 ÷ 24 = 2.5

Thus, she would need to purchase 3 packs of cookies

She needs = 15 × 12 = 180 ounces of milk

A gallon of milk contains 128 ounces

180 ÷ 128 = 1.406

She will need to acquire 2 gallons of milk

It's noted: from the prompt

Each gallon of milk costs $3

Each package of cookies costs $4.50

b serves as Jada's dollar budget

b = 2(3) + 3(4.50)

<pThe relevant equations that could signify the quantities and constraints in this scenario are:

Options a, c and e are valid

3 0
1 month ago
A 20-person fraternity is making their weekend plans around 5 different parties in IV. Each brother will attend exactly one of t
Leona [12193]

Answer:

3876

Step-by-step explanation:

We have the following data:

Members of the fraternity = 20

Their attendance at five parties is organized into groups of four.

This indicates that each group consists of 4 individuals.

At least one brother will be present at exactly one of the gatherings. (The brothers are indistinguishable).

Thus, precisely one brother at a gathering leaves (20 - 1) = 19, due to their indistinct nature.

Group sizes are in fours.

Calculating 19C4:

From: nCr = n! /(n-r)! r!

19C4 = 19! / (19 - 4)! 4!

= 19! / 15! 4!

= (19 * 18 * 17 * 16) / (4 * 3 * 2)

= 93024 / 24

= 3876

3 0
29 days ago
At Fairview middle school 75 band members need to raise a total for a trip of $8,250 for a trip so far they have raised $3,120 h
AnnZ [11994]
8250-3120=5130

5130/75=68.40

Each member of the band has to contribute $68.40
8 0
13 days ago
How much would it cost to buy 100 shares in ODX group Inc and 300 shares
PIT_PIT [11965]

Complete Question

The entire question can be found in the first uploaded image

Answer:

The expense for acquiring 100 shares of ODX group Inc and 300 shares of peer Comms Lts is

         C  =  \$ 775

Step-by-step explanation:

   From the chat, the expense for 100 shares of ODX is \$175

    The price of 100 shares of peer Comms Lts is \$ 200

Thus, the cost for 300 shares of peer Comms Lts amounts to k  =  3 * 200 =  \$ 600

Overall, the total cost for 100 shares of ODX group Inc and 300 shares of peer Comms Lts can be calculated as

           C  =  175 + 600

           C  =  \$ 775

 

 

7 0
1 month ago
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