A club with 31 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?

Answers

Answer 1
Answer: If you take 31*5 that equals = 155 ways! 

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Twenty-seven minus of a number (x) is not more than 36. What is the number?
Write the standard form of the line with x- intercept of 3 and y-intercept of 4
How do I solve for n?

Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50a + 3.75b = 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?

Answers

10.50a + 3.75b = 2071.50
82 x 3.75 =  307.50
2071.50 - 307.50 = 1764
1764/10.50 = 168
10.50(168) + 3.75(82) = 2071.50
1764 x 307.50 = 2071.50

Connecting a DVD player to a television set requires a cable with special connectors at both ends. You buy a six-foot cable for $15.50 and a three-foot cable for $10.25. Assuming that the cost of a cable is the sum of the cost of the two connectors and the cost of the cable itself, what is the cost of a four-foot cable?

Answers

so a 3 foot cable is10.25
a 6foot cable is 15.50
so
x=cost per foot
y=cost of special connectors
3x+y=10.25
6x+y=15.50
make first equation negative and add to the first
3x=5.25
divide both sides by 3
1.75=x
so it costs 1.75 for a foot of cable

subtitue into first equation
3(1.75)+y=10.25
5.25+y=10.25
subtract 5.25 from both sides
y=5 dollars=cost of special so
4x+y=4(1.75)+5=7+5=$12

so the cost of a 4 foot cable is $12

What are the zeros of the polynomial function f(x) = x3 - 2x2 - 24x?

Answers

The zeroes of the polynomial function are 0, 6, and -4.

Given that,

Polynomial function; \rm f(x) = x^3-2x^2-24x.

We have to determine,

The zeroes of the polynomial,

According to the question,

To determine the zeroes of the given polynomial function following all the steps given below.

Polynomial function; \rm f(x) = x^3-2x^2-24x.

Factorize the polynomial function to find the zeroes of the function,

\rm x^3-2x^2-24x =0\n\n\rm x(x^2-2x-24)=0\n\nx(x^2-6x+4x-24)=0\n\nx(x(x-6)+4(x-6))=0\n\nx ( (x-6) (x+4)) =0\n\nx (x-6) (x+4) =0

Therefore,

The zeroes of the polynomial function are,

\rm x = 0\n\nx - 6 =0, \ \ x =6\n\nx +4 =0, \ \ x = -4

Hence, The zeroes of the polynomial function are 0, 6, and -4.

For more details refer to the link given below.

brainly.com/question/15849916

first factor out a variable: x(x^2-2x-24)
now solve the quadratic: x(x-6)(x+4)
When you set these expressions equal to zero, you get 0, 6, and -4 as your answers.

What is the total surface area of a right circular cylinder with base radius 7cm and height 12cm.

Answers

Answer:

Using 3.14  for pi

835.24 cm^2

Using the pi button for pi

835.6636459 cm^2

Step-by-step explanation:

The surface area of a cylinder is given by

SA = 2 pi r^2 + 2 pi r h

     = 2 * pi ( 7)^2 + 2 pi ( 7) * 12

    = 98 pi + 168 pi

    =266 pi

Using 3.14  for pi

835.24 cm^2

Using the pi button for pi

835.6636459 cm^2

Answer:

226\pi or 835.664

Step-by-step explanation:

Surface area of a right cylinder= 2πrh+2πr^2

=2π7✖️12+2π49

=226π

Hope this helped, and have a nice rest of your day!

What is the nth term for 3,4.5,6,7.5

Answers

If nth means ninth then the answer is 15.  If nth is not ninth then tell me I am glad to help!

Of the following factors of 28, put a check beside each prime factor

Answers

Answer:

The prime factors of 28 are 2 and 7.

Step-by-step explanation:

Factors are numbers that are multiplied together to produce another number. example factors of 36 = 1, 2, 3, 4, 6, 9, 12, 36.

Prime numbers are numbers greater than 1 whose only factors are 1 and itself. example 2, 3, 5, 7, etc.

We have to find the prime factors of 28.

First we find the factors of 28 and then we pick up the prime factors.

Factors of 28 are 1, 2, 4, 7, 14, 28

Out of above factors only 2 and 7 are prime numbers

Thus, the prime factors of 28 are 2 and 7.

The factors of 28 are 1, 2, 4, 7, 14, 28.
The prime ones are 2 and 7.