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The mathematical representation of 20P4 is [tex]^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]. so option C is the correct.

We can use combinations for this case,

The Total number of distinguishable things is m.

Here, Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]

If the order matters, then each of those choice of k distinct items would be permuted k! times,

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

We have to find the mathematical representation of 20P4.

[tex]^{20}P_4[/tex]

here, m = 20

k = 4

Now substitute;

[tex]^mP_k = \dfrac{m!}{ (m-k)!}\\\\^{20}P_4 = \dfrac{20!}{ (20-4)!}\\\\^{20}P_4 = \dfrac{20!}{ (16)!}\\\\\\^{20}P_4 = \dfrac{20 \times 19 \times 18 \times 17 \times 16!}{ (16)!}\\\\\\^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]

Hence, the mathematical representation of 20P4 is [tex]^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]. so option C is the correct.

Learn more about combinations and permutations here:

https://brainly.com/question/16107928

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Answer:

Given equation and the graph of it:

1. What does the 5 in the equation represent?

2. What does 100t in the equation mean in terms of the rocket?

3. Approximately when does the rocket hit the ground?

4. What domain makes sense for the function in this context?

Domain of the function is:

This is the time the rocket is in the air until it hits the ground

Answer: it will hit the ground around 6.2 seconds

The domain is 0 ≤ t ≤ 6.3

Answer:

5

Step-by-step explanation:

I hope this helps!!

Answer:

B. 0.21

Step-by-step explanation:

https://stattrek.com/online-calculator/binomial.aspx

put in 75% for success rate

4 for the amount of trials because that is the total of kids the couple has

2 for number of successes for how many kids would get Type A blood

once calculated you get.21 or answer B

Answer:

7

Step-by-step explanation:

$1.05 is 105 cents 105/15=7

Answer:

-1 < y < 7

Step-by-step explanation:

< and not ≤

because the end points are not included

Sorry I'm late, But your answer is Infinitely many solutions. Have a good day!

Answer:

D

Step-by-step explanation:

We can work backwards.

First, notice that we have an open circle. So, we do not have "or equal to." So, we can ignore A and B.

Our final answer is all values less than -3. So:

[tex]x<-3[/tex]

We can multiply both sides by 3:

[tex]3x<-9[/tex]

And then subtract 5 from both sides:

[tex]3x-5<-14[/tex]

So, the answer that matches this will be D.

Instead of working backwards, you can also just solve each inequality. Since we have an open circle, we only need to solve C and D. If we solve C, we get x > -3, and if we solve D, we get x < -3 (as desired). So, D matches the graph shown.

Answer:

7

Step-by-step explanation:

So, substitute in your 4 for r, 2(3) + 1. Multiply 2 and 3 to get 6 and then add a to get 7. I hope this helps :)

Answer:

the second option, a=3 b=3 c=5

Step-by-step explanation:

first I would change them both into an improper fraction:

9/2 divided by 5/4

dividing is the same thing as mulitiplying by the reciprocal of the second number. so you would mulitply 9/2 x 4/5 = 36/10 and then you simplify back to a mixed number 3 6/10, 6/10 can be reduced so the final answer is 3 3/5.

Answer:

Answer b = $ 2.25 dollars

             s = $ 1.75 dollars

Please see how to do, it is good to know the answers but if you know how to solve it thats even better!!

Step-by-step explanation:

Let : s = soft tacos

       b = burritos

Step 1: 11.50 = 4s + 2b

           12.00 = 3s +3b

Step 2: Solve using subtraction

12 =3s + 3b

-1 (11.50 = 4s + 2b)  _ times by -1 so you can subtract

-11.50 = -4s -2b      _ once you do this bring the other equation

12.00 = 3s + 3b      _ then subtract/ add

_____________+__

0.50 = -s + b          _ add s to both sides

s + 0.50 = b             _ now you can plug in b into the original equation

12.00 = 3s + 3(s + 0.50)   _distribute the 3 to the s and 0.50

12.00 = 3s + 3s + 1.5          _ add like terms

12.00 = 6s + 1.5                  _ - 1.5 on both sides

-1.5               -1.5

10.5 = 6s                  _ divide by 6 to isolate s

1.75 = s                         _ plug it in to find b

11.5 = 4(1.75) +2b

11.5 = 7 + 2b    _ subtract 7 on both sides

4.5 = 2b         _ divide by 2 on both sides

2.25 = b

Answer b = $ 2.25 dollars

             s = $ 1.75 dollars

Answer:

DFE AND FED

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

22/25 = not blue

22 × 2 = 44

Answer:

I believe transversal is the correct answer because it isn't a part of the triangle.

Answer:

a, y = 0

Step-by-step explanation:

when n<m or m>n, the horizontal asymptote is y=0

Answer:

115, A

Step-by-step explanation:

The formula to find the total interior angles is   ([number of sides] - 2) x 180, so in this case it would be  540, and     if you subtract all the other interior angles you wi ll get y! (90,135,112,and  88)    (please excuse therandom spaces my spacebar isbroken)

The value of y from the figure is 115 degrees

The given polygon is a pentagon

The sum of an interior angle of the pentagon is 540 degrees

Taking the sum and equating to 540 will give:

90 + 135 + 112 + y + 88 = 540

y + 425 = 540

y = 540 - 425

y = 115 degres

Hence the value of y from the figure is 115 degrees

Learn more on pentagon here: https://brainly.com/question/21475963

Answer:

0.23 is greater

Answer:

0.23

Step-by-step explanation:

2.3% = 0.023

So 0.23*100=23% therefore larger than 2.3%

Any questions feel free to ask. Thanks

x menos 11 menor que 7. .............................

Answer:

x < 18

Step-by-step explanation:

We have an inequality and are asked to solve.

To solve, we need to isolate x or by other means get x by itself.

X - 11 < 7

Add 11 to both sides :

x < 18

Now you could ask whether the inequality sign would change, no, this would only happen when you divide by a negative number.

Answer:

4

Step-by-step explanation:

2 plus 2 is 4

Answer:

Many people would said 2+2=4

But since I love to breaks rules 2+2=3

Why? because I said so LOL

Have a good one

Answer: +52

Step-by-step explanation:

From the question, we are informed that Mary owns 13 shares of a certain stock and that the value of each share went up by 4 dollars.

The total change in value of her shares will be gotten by multiplying the number of shares that Mary has by 4. This will be:

= 13 × 4

= 52

Answer: Hey man, go with your guess, you might be wrong you might be correct.

Step-by-step explanation: But I wouldn't pick or because if you're saying or, you're basically asking the question to the original question so I would pick one of the and's

Answer:

b < -7 or b > 7

Step-by-step explanation:

b is surrounded by absolute value bars, which means that whether the value of b is negative or positive, the bars will make it positive. |b| is said to be greater than 7, so the value of b must be:

less than -7 (it can be -8, -9, -10, ...) because the absolute value bars will make it positive.

&

greater than 7 (it can be 8, 9, 10) because it will stay positive anyway.

Therefore, the second answer choice is correct.

I hope this helped! :)

Answer:

I dunno, why?

Step-by-step explanation:

Answer:

don't know. um

1: diaganol

2: x, q, p

3: y, t, u

5: r

7: t,y

Step-by-step explanation:

→Give two names for the plane?

→Name three collinear points?

→Name three coplanar points?

→Name three points?

→Name three lines?

→Name one ray?

→Name one line segment?

The points D , B and E lie on the line n . They are collinear.

There is no line that goes through all three points A , B and D . So, they are not collinear.

Answer:

3/4

Step-by-step explanation:

Answer:

-5(x+3) = -5x-15

-5(x+1)+3 = -5x-2

-5(-x-2) = 5x+10

-5x + (x+2) = -4x+2

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