Calculate the following combinations

Calculate The Following Combinations

Answers

Answer 1

Answer:

[tex]_3 C_2 =\frac{3}{2}[/tex]

[tex]_3 C_3[/tex] Is undefinded.

Step-by-step explanation:

Given the equations.

[tex]_3 C_2=\frac{3}{(3-2)2}[/tex]

[tex]_3 C_3 =\frac{3}{(3-3)3}[/tex]

Distribute the denominator.

[tex]_3 C_2 =\frac{3}{(6-4)}[/tex]

[tex]_3C_2 = \frac{3}{(9-9)}[/tex]

Simplify the denominator.

[tex]_3 C_2 = \frac{3}{2}[/tex]

[tex]_3 C _3 = \frac{3}{0}[/tex] this is undefined because you're not able to divide by 0.

Answer 2

Answer:

part 1: 3 & 1

part 2: 6

Step-by-step explanation:

edge fam sticks together lol

Calculate The Following Combinations

Related Questions

For the Black Panther Trip 420 students were scheduled to go. After collecting more parent surveys, 15% more students are going on the trip. Each admission ticket cost $22.75. What was the total amount paid for all the tickets purchased?

Answers

Answer: $ 10,988.25

Step-by-step explanation:

Hi, to answer this question, first we have to multiply the original number of students scheduled to go to the trip (420) by the added students’ percentage (15%) in decimal form (divided by 100)

420 x (15/100) = 420 x 0.15 = 63 students added

Adding the number of extra students to the original number:

420+63 = 483 students (total number of students)

Finally, we have to multiply the result by the cost of each admission ticket (22.75)

483 x 22.75 = $ 10,988.25  

Jacob can run 9 miles in 1 hour and
15 minutes. What is his average running speed per minute?

Answers

Answer:

0.12 miles per minute

Step-by-step explanation:

9/75 is 0.12. 9 miles in 75 minutes

Average speed of Jacob is 0.12 miles per minute.

What is unitary method ?

Unitary method is a method of finding value of a single unit.After finding value of a single unit we can determine values of any given unit.

According to the given question Jacob can run 9 miles in 1 hour and

15 minutes.

We know 1 hour is 60 minutes.

∴ 1 hour and 15 minutes is

= (60 + 15) minutes.

= 75 minutes.

So, Jacob can run 9 miles in 75 minutes.

∴ In one minute Jacob can run 9/75 miles shich is

= 0.12 miles per minute.

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. Alexandro, o professor de Física, avisou aos alunos que a média bimestral seria calculada conforme o seguinte critério: Adicionam-se as notas obtidas no projeto, na prova e no trabalho em grupo e divide-se o resultado obtido por três. Laura é uma das alunas do professor Alexandre. As notas de Laura: Projeto: 5,0 Prova: 6,5 trabalho em grupo: 9,5. A) Por que o resultado deve ser dividido por 3?

Answers

Answer:

É necessário dividir por 3 para calcular a média simples das 3 notas.

Média = 7.

Step-by-step explanation:

O resultado deve ser dividido por três porque três notas com pesos iguais (projeto, prova e trabalho em grupo) foram somadas, portanto para calcular a média bimestral de Laura, a soma das três notas deve ser dividida por 3. A média de Laura é:

[tex]M=\frac{5,0+6,5+9,5}{3}\\ M=7[/tex]

If f(x)=x^2+1 and g(x) = x-4 which value is equivalent to (f•g)(10)

Answers

f(x) = x2 + 1
g(x) = x - 4

(f o g)(x) = (x - 4)2 + 1
(f o g)(x) = x2 - 8x + 16 + 1
(f o g)(x) = x2 - 8x + 17
(f o g)(10) = 102 - 8(10) + 17
(f o g)(10 = 100 - 80 + 17
(f o g)(10)= 37

Kate has a $75 gift card to a coffee shop. Each Friday, she purchases a latte for $5. She created a graph to represent the amount of money on her gift card each week. Does Kate's graph represent the situation? Why or why not? A. No, because the amount of money on her gift card should increase each week. B. Yes, because she starts with $5 on her gift card. C. No, because the graph should start at the origin D. Yes, because the amount of money on her gift card should decrease each week.

Answers

Answer:

D. Yes, because the amount of money on her gift card should decrease each week.

Step-by-step explanation:

The amount of money on the gift card decreases every Friday as it states in the problem.

Yes Kate's graph represent the situation, because the amount of money on her gift card should decrease each week. so option D is correct.

What is Graph?

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

We can see that the graph shows that the slope is decreasing, if you got $75 and spend $5.00 each Friday, wouldn't that be  decrease and Lastly, of course, they should not start at the origin as they started at $75.00.

The amount of money on the gift card decreases every Friday as it states in the given situation.

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Cristian, iris, and Morgan each get an equal share of 1/2 of a pizza. Which model represents the fraction of the pizza each person gets?

Answers

Answer:

Model B or 1/3 of the Pizza

Answer:

1/3

Step-by-step explanation:

model 1/3

Factor the trinomial by grouping.
9x^3 - 3x^2 -30x

Answers

Answer:

3x(3x+5)(x-2)

Step-by-step explanation:

[tex]9x^3-3x^2-30x= \\\\3x(3x^2-x-10)= \\\\3x(3x^2+5x-6x-10)= \\\\3x(x(3x+5)-2(3x+5))= \\\\3x(3x+5)(x-2)[/tex]

Hope this helps!

If p(y) = y^3+3 y^2-5y-6, then p (-3) = ------------------

Answers

Answer:

9

Step-by-step explanation:

[tex]p(y)=y^3+3y^2-5y-6 \\\\p(-3)=(-3)^3+3(-3)^2-5(-3)-6= \\\\-27+27+15-6= \\\\9[/tex]

Hope this helps!

Answer:

p(-3)=9

Step-by-step explanation:

This question ask us to find p(-3), or what p(y) is when y is equal to -3.

We know that:

p(y)= y^3+3 y^2-5y-6

We want to find p(-3), so substitute -3 in for every y.

p(-3)= (-3^3)+3(-3^2)-5(-3)-6

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve the exponents first (-3^3 and -3^2)

-3^3=-3*-3*-3= -27

-3^2= -3* -3= 9

p(-3)= -27+ 3(9) -5(-3) -6

Next, multiply 3 and 9

p(-3)= -27+27-5(-3)-6

Then, multiply -5 and -3

p(-3)= -27+27+15-6

-27 and 27 equal 0, so they cancel each other out.

p(-3)=15-6

p(-3)= 9

40 points. Topic: Solving a word problem using a system of linear equations of the form y = mx + b A phone company offers two monthly plans. Plan A costs $8 plus an additional $0.17 for each minute of calls. Plan B costs $21 plus an additional $0.12 for each minute of calls. For what amount of calling do the two plans cost the same? ____minutes What is the cost when the two plans cost the same? $_____

Answers

Answer:

The plans will cost the same for $260 minutes of calling.  These minutes will cost $52.20

Step-by-step explanation:

Plan A:  $8 + ($0.17/min)t

Plan B:  $21 + ($0.12/min)t

Equate these, obtaining $8 + ($0.17/min)t = $21 + ($0.12/min)t, or:

($0.17/min)t - ($0.12/min)t = $13, or

($0.05/min)t = $13 , so t = 260 minutes.  The plans will cost the same for $260 minutes of calling.

Find the cost in this situation:  It is $21 + ($0.12/min)(260 min), or $52.20

_____ of the basic trigonometric functions have inverse functions. None, 3, 6, 4

Answers

Answer:

6

Step-by-step explanation:

There are inverses for sine, cosine, tangent, secant, cosecant, and cotangent.

solve 5kx+ 6=7kx for x

Answers

Answer:

A

x= 3/x

Step-by-step explanation:

5kx + 6 = 7kx

collect like term

5kx - 7kx = -6

-2kx = -6

minus cancel out

=> 2kx = 6

divide bothside by 2k

=> x = 6/2k

=> x = 3/k

Answer:

Step-by-step explanation:

its A just trust :)

Las personas que venden computadoras en una tienda local ganan $100 en comisión por computadora por las primeras 5 computadoras que venden cada mes. Por cada computadora adicional que venden durante ese mes, la comisión por computadora es 1.5 veces la tarifa por las primeras cinco. ¿Cuál de las siguientes es la comisión total que gana una persona que venda 8 computadoras en un mes?
A. $190
B. $800
C. $950
D. $1,050 E. $1,200

Answers

La respuesta es D. $1,050

Bryan’s golf coach suggested he take some golf lessons. The pro at windy fairways charges $20.00 per month plus $10.00 per lesson. The pro at sunny sands charges $100.00 per month for unlimited classes. How many classes does he have to take for both pros be the same price?

Answers

Answer:

8

Step-by-step explanation:

(100 - 20) / 10 = 8

Answer: He has to take a class per month from the both pros

Step-by-step explanation:

Is parallel to ? Explain. Yes, because both lines have a slope of . Yes, because both lines have a slope of . No, because the slopes of the lines are not equal. No, because the slopes of the lines are not opposite reciprocals of each other.

Answers

Answer:

I'd need to see the lines but basically, parallel lines have to be directly across from each other and they have to be the same size, I put a pic so you can see what I mean

Hope this helps you

Answer:

C) yes, because both lines have a slope of 2/3

Step-by-step explanation:

edg2020

Subtract 2y²+5y +8 from 6y- 2y+3.​

Answers

Answer:

The answer to this problem would be :

-2y^2-y-5

Find M a

A.
49
B.
35
C.
95
D.
275

Answers

Answer:

85

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

A + B+ C = 180

A +72+ 23 = 180

Combine like terms

A + 95  = 180

Subtract  95  from each side

A +95-95 = 180-95

A =85

answer.
The temperature decreased from
17° on Saturday to -7° on Sunday.
What was the total change in
temperature?

Answers

Answer:

Decreased 24 degrees

Step-by-step explanation:

subtract the 17 from Saturday which gets you to 0 but it ends up being -7 on Sunday so i did 17+7 and it gives 24 so that's how much it went down

Use factoring to solve

2x^2-17x-35=0

Answers

Answer:

This does not factor

Step-by-step explanation:

2x^2-17x-35=0

Since the x^2 has a coefficient of 2

(2x    ) ( x     )

Looking at the factors of -35

-1 35       1, -35

-5   7       5, -7

We need to  get to -17

You cannot factor this

-

help pls tysm
What are two examples of financial institutions?

Answers

Answer:

The major categories of financial institutions include central banks, retail and commercial banks, internet banks, credit unions, savings, and loans associations, investment banks, investment companies, brokerage firms, insurance companies, and mortgage companies

Step-by-step explanation:

sorry i did not put 2 examples, i put too many examples lollll

Answer:

There are two primary types of financial institutions non-depository and depository.

Step-by-step explanation:

an insurance company would fall under the non-depository group, and a credit union would be defined as a depository institution.

What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm

Answers

Answer:

Volume of prism = 3,240 cm³

Step-by-step explanation:

GIven.

Hexagonal prism.

Side of base(b) = 12cm

Height of prism = 9cm

Height of base (h)= 10cm

Find:

The volume of the prism.

Computation:

Area of base of hexagonal prism = n/2[bh]

Area of base of hexagonal prism = 6/2[(12)(10)]

Area of base of hexagonal prism = 360 cm²

The volume of prism = Area of base of hexagonal prism × Height of prism

The volume of prism = 360 × 9

Volume of prism = 3,240 cm³

Put the following temperatures in order from least to greatest (1 is the least and 5 is the greatest):
Group of answer choices
The temperature was 25 degrees below zero


The pool temperature was 78 degrees


Water freezes at 32 degrees

The low temperature in December is -3 degrees


The temperature in the refrigerator was 34 degrees.

Answers

Answer:

25 degrees below zero, -3, 32, 34, 78

Which graph is the result of reflecting f(x) = One-fourth(8)x across the y-axis and then across the x-axis?

Answers

Graph number 3 I believe so

Find Four Solutions For the following Linear equations in two variables: y = 5x

Answers

Answer:

see explanation

Step-by-step explanation:

To find solutions to the equation, choose any value for x, substitute into the equation and evaluate for y, that is

x = - 1 → y = 5(- 1) = - 5 ⇒ (- 1, - 5 )

x = 0 → y = 5(0) = 0 ⇒ (0, 0 )

x = 1 → y = 5(1) = 5 ⇒ (1, 5 )

x = 5 → y = 5(5) = 25 ⇒ (5, 25 )

Thus 4 solutions are

(- 1, - 5), (0, 0), (1, 5), (5, 25)

An airplane lands at an airport 60 miles east and 25 miles north of where it took off, how far apart are the two airports?

Answers

Answer:

20 miles

Step-by-step explanation:

7th grade math I need some help

Answers

Answer:

Step-by-step explanation:

[tex](-14+\frac{3}{2}b)-(1+\frac{8}{2}b)=-14-1+\frac{3}{2}b-4b[/tex]

                                   = ([tex]-15-\frac{5}{2}b[/tex])

[tex](5+2b)+(2b+\frac{3}{2})=(5+\frac{3}{2})+(2b+2b)[/tex]

                             = [tex](4b+\frac{13}{2})[/tex]

[tex](\frac{7}{2}b-3)-(8+6b)[/tex] = [tex](\frac{7}{2}b-6b)-(3+8)[/tex]

                             = ([tex]-\frac{5}{2}b-11[/tex])

[tex](-10+b)+(7b-5)=(-10-5)+(b+7b)[/tex]

                               = [tex](8b-15)[/tex]

Carol is y years old and her daughter is 25 years younger.find carols present age if sum of ages in 6 years time is 75

Answers

38? Present 44 in 6 years
Carol’s present age = y years
Her daughter’s present age = 25 years

After 6 years
Carols age =y+6
her daughters age=y-25+6=y-31

According to the condition
y+6+y-31
2y-13 = 75
Transporting -13
2y=75+13
2y=88
y=88/2
y=44




***please mark my answer as brainlist****

C. Courtney got a remote control car for her birthday. It is a metallic
purple with chrome wheels that are 1 1/2 inches in diameter. She said to
her friend, Dylan, “My remote control car goes faster than my mom's
car on the freeway.” “No way,” said Dylan. Courtney said, “I will prove it to
you.” Courtney measured off a distance of 115 inches. Dylan said, “Okay, I
will time how long it takes your car to travel that distance. I have a stopwatch
feature on my watch.” Courtney raced her remote control car over the
115-inch distance. Dylan said, “Wow, that only took 3.21 seconds. That seems
really fast.” “See, I told you,” said Courtney. “But really how fast is it going?”
answered Dylan. Determine the speed of Courtney's remote control car and
compare its speed to that of a regular car traveling on the freeway. Explain
how you found your solution. Why might the manufacturer get away with
advertising that the remote control car Travels Faster Than Life?


please help!!!!

Answers

Answer: No. the remote control car traveled 2 miles per hour whereas a car typically travels between 30 miles per hour and 60 miles per hour.

Step-by-step explanation:

[tex]\dfrac{115\ inches}{3.21\ seconds}\times \dfrac{1\ foot}{12\ inches}\times \dfrac{1\ mile}{5280\ feet}\times \dfrac{60\ seconds}{1\ minute}\times \dfrac{60\ minutes}{1\ hour}\\ \\\\=\dfrac{414,000\ miles}{203,385.6\ hours}\\\\\\=\dfrac{2.0\ miles}{1\ hour}[/tex]

Speed of Courtney's remote control car is: 2 mph

Courtney's remote control car is slower than an average freeway car  since averagely the speed of a car on the freeway is usually 60 mph.

Given that:

Distance covered by Courtney's car = 115 inches

Time taken to cover that distance = 3.21 seconds

Converting inches to miles and seconds to hours:

[tex]1 inch \approx 0.0000158 miles\\115 inches = 115 \times 0.000158 miles\\=\approx 0.00182 miles\\\\3.21 seconds = \dfrac{1}{3600} \times 3.21 \: hours\\= 0.00089 \: hours\\[/tex]

Thus speed of Courtney's car can be calculated as

[tex]Speed = \dfrac{distance}{time}\\\\= \dfrac{0.00182}{0.00089} mph\\\\= 2.089 mph \approx 2 mph[/tex]

Thus Speed of Courtney's car is approx 2 miles per hour whereas the average speed of a car on a freeway is about 60 miles per hour.

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what is the slope-intercept equation of the line below?​

Answers

Answer:

4

Step-by-step example

Slop is the

Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?

Answers

Answer:

35/70*100 = 50 miles

Step-by-step explanation:

Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP Statement Reason 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. given 2. m∠H + m∠J + m∠K = 180° 2. ? 3. 30° + 50° + m∠K = 180° 3. substitution property 4. 80° + m∠K = 180° 4. addition 5. m∠K = 100° 5. subtraction property of equality 6. m∠J = m∠P; m∠K = m∠N 6. substitution 7. ∠J ≅ ∠P; ∠K ≅ ∠N 7. if angles are equal then they are congruent 8. △HKJ ~ △LNP 8. AA similarity theorem Which reason is missing in step 2?

Answers

Answer:

 [tex]2. m\angle H+m\angle J +m\angle K =180^{\circ}[/tex]

Reason: the sum of all interior angles of any triangle is equal to 180º.

Step-by-step explanation:

1) Organizing

Statement  1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given

2) Since the sum of all internal angles of any triangle is equal to 180º, just like the formula. N the number of sides of a triangle:

[tex]S_{i}=180^{\circ}(n-2)\rightarrow 180(3-2) \therefore S_{i}=180^{\circ}[/tex]

3) We can also say

[tex]m\angle K=180^{\circ}-(m\angle H+m\angle J)\\m\angle K=180^{\circ}-\left ( 30^{\circ}+50^{\circ} \right )\\m\angle K=100^{\circ}[/tex]

Similarly to the other triangle:

[tex]m\angle L=180^{\circ}-(m\angle N+m\angle P)\\m\angle L=180^{\circ}-\left ( 100^{\circ}+50^{\circ} \right )\\m\angle L=30^{\circ}[/tex]

4) Hence,

[tex]2. m\angle H+m\angle J +m\angle K =180[/tex]

Reason: The sum of interior angles is equal to 180º.

Answer:

B

Step-by-step explanation:

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What might explain the difference? Njoki planted trees at intervals of 22m apart on the diagonal of a rectangular plot of land that measures 48m by 20m . How many trees did he plant Clipper Corporation is considering an investment of $70,000 in a project that will generate annual net operating income of $12,950. If the division planning to make the investment currently has a return on investment of 20% and its manager is evaluated based on the division's ROI, will the division manager be inclined to request funds to make this investment A skier slides down a 750 m slope in 12.5 s. What is the averagevelocity for the trip? Select the italicized word that is not capitalized correctly.The judge read the constitution of the United States carefully before he wrote his opinion of the case.A. judgeB. constitutionC. UnitedD. case Skip owns a business. Since demand is on the rise, he decided to purchase an upgraded machine that will produce four times as fast as his previous machine. 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