Find the value of 8C0

Answers

Answer 1

Answer:

[tex]^8C_0=1[/tex]

Step-by-step explanation:

In this problem, we need to find the value of [tex]^8C_0[/tex].

The formula for the combination is given by :

[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

We have,

n = 8 and r = 0

[tex]C(8,0)=\dfrac{8!}{0!(8-0)!}\\\\=\dfrac{8!}{8!}\ (\because\ 0!=1)\\\\=1[/tex]

So, the value of [tex]^8C_0[/tex] is 1.


Related Questions

3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can view both cars. One car can be viewed at an angle of depression of 370, and the other car can be viewed at an angle of depression of 420. How tall is the building?

Answers

Answer:

The building is 61.5 m tall

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x  = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

[tex]\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan 53^\circ=\frac{150-x}{h}[/tex]

[tex]\displaystyle \tan 48^\circ=\frac{x}{h}[/tex]

From the last equation:

[tex]x=h.\tan 48^\circ[/tex]

Substituting into the first equation:

[tex]\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}[/tex]

Operating on the right side:

[tex]\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ[/tex]

Rearranging:

[tex]\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}[/tex]

Solving for h:

[tex]\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}[/tex]

Calculating:

h = 61.5 m

The building is 61.5 m tall

LGS 2.5.052.MI.
A fax machine that regularly sells for $227.88 is on sale for
off the regular price. Find the sale price.
$

Answers

Answer:

I’m sorry but I can’t see how much it’s on sale for so just tell me and I’ll answer.

Step-by-step explanation:

Simplify (6x−3)−(9x+2)

15x−5



15x−1



−3x−1



−3x − 5

Answers

Answer:

- 3x - 5

Step-by-step explanation:

(6x-1) -9x-2

=-3x-5

Which of the following expressions is equivalent to 7y + 21 ?

Answers

Answer:

the answer is 7 ( y + 3) hope this helped

please help me im very behind​

Answers

Answer:

y=1/3x-2

Remeber the slope intecpet form is y=mx+b

Hope this helps :)

Step-by-step explanation:

PLZ MARK ME BRAINIIEST THANK YOU

y=1/3x- 2

y=mx+b

using the information given the equation would be y=1/3x-2. the slope is 1/3 and in y=mx+b the slope is m. i plugged in 1/3 to m. i did the same with the y-intercept being -2 and plugged it into the b of the equation.

XYZ is the midsegment triangle of JKL.
Find the perimeter of JKL.

Answers

Answer:

56

Step-by-step explanation: 1 tick mark is 7, 2 tick marks are 12 (24/2), 3 tick marks are 9. Side JYK is 24. Side JXL is 14. Side LZK is 18. 24+18+14= 56.

If 14 gallon of paint covers 112 of a wall, then how many quarts of paint are needed for the entire wall?

Answers

Answer:

168 gallons

Step-by-step explanation:

Correct question;

If 14 gallon of paint covers 1/12 of a wall, then how many quarts of paint are needed for the entire wall?

If 14 gallon of paint covers 112 of a wall, this can be expressed as;

14 gallons = 1/12 of the wall

x gallons = entire wall (1 wall)

Cross multiply

1/12 * x = 14

x/12 = 14

Multiply both sides by 12

x/12 * 12 = 14*12

x = 168 gallons

Hence 168galons of paints are needed for the entire wall

whats 93, −76, 102, −101, 83, −48 least to greatest

Answers

Answer:

it iss -101, -76, -48, 83, 93

Answer:

-101, -76, -48, 83 ,93, 102

Which of the fallowing shows the numbers in the box below listed in increasing order? 1/2, 1.2, -2, 3/7 pls helpppp quick

Answers

Answer:

-2, 3/7, 1/2, 1.2

Step-by-step explanation:

Increasing == least to greatest in value.

-2 = -2

3/7 = 0.429

1/2 = 0.5

1.2 = 1.2

Chuck made $13.90 per hour, gets a 12% raise, and works 40 hours per week.​

Answers

Answer:

40 times 9 equals 299

Step-by-step explanation:

rlly need help plzzzzzz
Given f(x) = x², write the new equation of j(z) if j() = – 2f(x + 6) + 9. You do not need to simplify.

Answers

Answer:

gurl im sorry

Step-by-step explanation:

i dony know the answer im just here for points

Please help me with the attachment below, will give brainlest

Answers

Answer:

D.

Step-by-step explanation:

Answer to this question is D. Subtract both points will give you the difference.

Please mark me brainlest, never got any brainlest.
Thank You.
Have a great day.

If there are 4 quarts in a gallon and 2 pints in a quart, how many pints are in 6 gallons?

Answers

Answer:

48 pints

Step-by-step explanation:

What is the common ratio between successive terms in the sequence? 27,9,3,1, 1/3, 1/9, 1/27

Answers

Answer:

not sure if this is correct but is it 3??

Step-by-step explanation:

please help me!!!!!!! asap

Answers

slope= 2
x intercept= 2
y intercept= 4
slope intercept equation=
y= 2x + 4

Given f(x) = 3x^2+x+1
g(x)+-2x-1
find (f+g)(-2)

Answers

Answer:

38

Step-by-step:

f(-2)=3(-2)^2+(-2)+1                  g(-2)=-2(-2)-1

f(-2)=-6^2+(-2)+1                      g(-2)=4-1

f(-2)=36+(-2)+1                         g(-2)=3

f(-2)=34+1

f(-2)=35

f+g ------- 35+3 ------- 38

please give me brainliest

A net of a storage trunk is shown. Which is the trunk's surface area?

Answers

3,680 sq. in.

(36*20)*4= 2880
(20*20)*2= 800

The answer choices are
J
L
H
K

Answers

I think I know the answer but I’m not sure which point it’s asking for :(
Damons point in which he plotted is H

look i need the answer quick

Answers

Answer:

Step-by-step explanation:

division

Why question you need the answers to?... and #1 is 3.84

Graph the equation .
y = 4x + 1

Answers

Answer:

-Picture attached-

Step-by-step explanation:

The gradient would be 4, with a rising graph and the y-intercept would be 1. I attached a picture of the graph, hope it helps.

How do I turn 93.75 into a fraction? :)

Answers

Answer:

Say it out loud like 93/and 75 hundrenths you count the denominators place and since it has two you say hundrenths.

Answer:

93 3/4

Step-by-step explanation:

93.75 = 93.75/1

93.75/1 × 100/100 = 9375/100

9375 ÷ 25 / 100 ÷ 25 = 37/54

93 3/4

93.75 = 93 3/4

On a map, the scale is ½ inch to 300 miles. If the trip from Corpus Christi to El Paso is 600 miles, how far apart will those cities appear on the map (in inches)?

Answers

Answer:

Step-by-step explanation:

How many miles from El Paso to Corpus Christi?

The total driving distance from El Paso, TX to Corpus Christi, TX is 699 miles or 1 125 kilometers.

Answer:

1 inch

Step-by-step explanation:

1/2 inch = 0.5 inch

0.5/300 = n/600

0.5 * 600 = n * 300

300 = 300n

1 = n or n = 1

35 points plz help
Evaluate −4(14)6x for x=13.

Enter your answer as a fraction in simplest form in the box.

Answers

Answer:

-15228

Step-by-step explanation:

Given the expression :

-4(14)6x for X = 13

To evaluate ; simply substitute 13 for X in the equation :

-14(14)6(13)

-14 * 14 * 6 * 13 = - 15228

Which graph represents y=⌈x⌉ over the domain −4≤x≤−1 ?

Answers

Answer:

4th one

Step-by-step explanation:

-3/5a=2

a= ___ please help

Answers

Answer:

a=-3 1/3

Step-by-step explanation:

PLEASE HELP ME FAST!

Answers

-9! person above was right

Marsha has 3 rugs. the first rug is 2 meters 87 centimeters long. the second rug has a length 98 centimeters less than the the first. the third rug is 111 centimeters longer than the second rug. what is the difference in centimeters between the length of the first rug and the third?

Answers

Answer:

13 cm

Step-by-step explanation:

rug 1= 2.87 meters or 287 cm

rug 2= 287-98 or 189 cm

rug 3= 189+111 or 300 cm or 3m

300-287=13cm or 0.13m

Show solutions please

Answers

Answer:

1. Their ages are:

Steve's age = 18

Anne's age = 8

2. Their ages are:

Max's age = 17

Bert's age = 11

3. Their ages are:

Sury's age = 19

Billy's age = 9

4. Their ages are:

The man's age = 30

His son's age = 10

Step-by-step explanation:

1. We make the assumption that:

S = Steve's age

A = Anne's age

In four years, we are going to have:

S + 4 = (A + 4)2 - 2 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we had:

S - 3 = (A - 3)3

S - 3 = 3A - 9

S = 3A - 9 + 3

S = 3A – 6 …………. (2)

Substitute S from (2) into (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into (3), we have:

S = (3 * 8) – 6 = 24 – 6

S = 18

Therefore, we have:

Steve's age = 18

Anne's age = 8.

2. We make the assumption that:

M = Max's age

B = Bert's age

Five years ago, we had:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (3)

A year from now, it will be:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30

M = 30 – 2 – B

M = 28 – B …………………… (4)

Substitute M from (4) into (3) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

If we substitute B = 11 into equation (4), we will have:

M = 28 – 11

M = 17

Therefore, their ages are:

Max's age = 17

Bert's age = 11.

3. We make the assumption that:

S = Sury's age

B = Billy's age

Now, we have:

S = B + 10 ................................ (5)

Next year, it will be:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (6)

Substituting S from equation (5) into equation (6) and solve for B, we will have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (5), we have:

S = 9 + 10

S = 19

Therefore, their ages are:

Sury's age = 19

Billy's age = 9.

4. We make the assumption that:

M = The man's age

S = His son's age

Therefore, now, we have:

M = 3S ................................... (7)

Five years ago, we had:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (8)

Substituting M = 3S from (7) into (8) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (7), we have:

M = 3 * 10 = 30

Therefore, their ages are:

The man's age = 30

His son's age = 10

Chanel rolls a 6-sided die {1,2,3,4,5,6), and then flips a coin {H,T}
Which outcome is in the sample space of this experiment?
A.5H
B. T3
C. 24
D.TH

Answers

Answer:

5H

Step-by-step explanation:

Given

A roll of die followed by a flip of coin.

Required

Determine possible outcome in the sample space

Taking the experiment one at a time.

A roll of die will either give any of 1 to 6 as its outcome.

A flip of coin will either give any of H or T as its outcome.

So, the possible outcomes of a roll of die followed by a flip of coin is:

{1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}

Note that numbers came first because the question stated that the die is rolled first.

Comparing the list of given options with the sample space above.

Option (A) i.e. 5H answers the question.

Please help me find out if there congruent

Answers

Tip all u have to do is look up the name for each one and it shows u
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