help ! Find the volume of cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth.( only numerical answers ! )

Answers

Answer 1
Answer: diameter(d)=8 in.
radius(r)= d/2= 4 in.
height(h)= 3r = 3(4) = 12 in.

Volume=\pi² h
           =
(3.14)(4)²(12)
           =(3.14)(16)(12)
           =602.88 in.
    
       Therefore, the volume of the cylinder is 602.88 in.



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The CEO of a company wants to determine whether taking the employees to a company retreat would boost their morale. He decides to survey a simple random sample of 50 of the 250 employees. Which of the following options would guarantee a simple random sample? asking the first 50 employees who come to work on Monday morning to take the survey telling the managers in each of the 5 departments to randomly select 10 people to take the survey giving each employee a unique number from 1 to 250 and randomly selecting 50 people to take the survey sending an email to all 250 employees asking them to complete the survey within the next couple of days

Use the functions m(x) = 5x + 4 and n(x) = 6x − 9 to complete the function operations listed below.Part A: Find (m + n)(x). Show your work.

Part B: Find (m ⋅ n)(x). Show your work.

Part C: Find m[n(x)]. Show your work.

Answers

For this case we have the following functions:


For the sum of functions we have:

Substituting values:

Adding similar terms we have:


For the multiplication of functions we have:

Substituting values:

If we apply the distributive property we have:

Adding similar terms we have:


For the composition of functions we have:

Rewriting we have:

A. (m+n)(x)=
5x+4+6x-9=
11x-5

B. (mn)(x)=
(5x+4)(6x-9)=
30x^2+24x-45x-36=
30x^2-21x-36

C. basically sub n(x) for x in m(x)
m(n(x))=
5(6x-9)+4=
30x-45+4=
30x-41

Factor the coefficient from 1.5a - 4.5.

Answers

The resulting expression is 1.5 times the quantity (a - 3).

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

To factor the coefficient from 1.5a - 4.5, we can first factor out the greatest common factor (GCF) of the two terms.

The GCF of 1.5a and 4.5 is 1.5:

1.5a - 4.5 = 1.5(a - 3)

So, we have factored out the coefficient of 1.5 from the original expression.

The resulting expression is 1.5 times the quantity (a - 3).

Learn more about algebraic Expression here:

brainly.com/question/953809

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1.5a - 4.5 = 1.5 × a - 1.5 × 3 = 1,5(a - 3)



Jude has seven times as many dimes as nickels their value is $5.25 how many nickels does he have.49
15
7

Answers

Let dimes be represented by d and n for nickels;
1 dime= 0.1 dollars
1 nickel=0.05 dollars
0.1d+0.05n=5.25
d=7n
so,
0.1(7n)+0.05n=5.25
0.7n+0.05n=5.25
0.75n=5.25
n=7
There are 7 nickels and 49 dimes


1 nickel = $0.05
1 dime = $0.10

n - number of nickels
7n - number of dimes

A equation:
 
0.05n + 0.1 · 7n = 5.25
0.05n + 0.7n = 5.25
0.75n = 5.25          |divide both sides by 0.75
n = 7

Answer: He have 7 nickels.

Eight less than the quotient of a number and 3 is 5

Answers

x-number\n\n quotient\ of\ 3\ and\ x: 3*x\n\n 3x-8=5\n\n 3x=5+8\n\n 3x=13\ |:3\n\n x=(13)/(3)=12(1)/(3)

What is sas congruence?

Answers

The SAS congruence is basically:
S- side
A- angle
S - side

If two triangles have two congruent sides and share one angle (or have one angle in between), then it (the triangles) are considered congruent.
s-side A-angle s-side

The domain of the following relation: R: {(−4, 8), (8, 10), (5, 4), (1, 6), (5, −9)} is{8, 10, 4, 6, −9}

{−4, 1, 5, 8}

{−4, 8, 5, 1, 5}

No domain exists

Answers

The correct answer would be B. When we find the range or domain we only list repeating values once.