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2 years ago

Calculate 6 P 6 note n p r equals n Over N - r

Mathematics

1 answer:

Murrr4er [49]2 years ago

7 0

Answer:

Step-by-step explanation:

n! Might be 7, and n might be 6. r might also be 6. So 6 - 6= 0! = 1

So I think it might be 7 ÷ 1, which is 7.

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Suppose that y = k * (x - 1/3) ^ 2 is a parabola in the xy -plane that passes through the point (2/3, 1) :Find k and the length

Dennis_Churaev [7]

Answer:

k = 9

length of chord = 2/3

Step-by-step explanation:

Equation of parabola: $y=k (x-\frac13)^2$

Part 1

If the curve passes through point $(\frac23 ,1)$ , this means that when $x=\dfrac23$ , $y = 1$

Substitute these values into the equation and solve for $k$ :

$\implies 1=k \left(\dfrac23-\dfrac13\right)^2$

$\implies 1=k \left(\dfrac13 \right)^2$

Apply the exponent rule $\left(\dfrac{a}{b} \right)^c=\dfrac{a^c}{b^c}$ :

$\implies 1=k \left(\dfrac{1^2}{3^2} \right)$

$\implies 1=\dfrac{1}{9}k$

$\implies k=9$

Part 2

The chord of a parabola is a line segment whose endpoints are points on the parabola.

We are told that one end of the chord is at $(\frac23 ,1)$ and that the chord is horizontal. Therefore, the y-coordinate of the other end of the chord will also be 1. Substitute y = 1 into the equation for the parabola and solve for x:

$\implies 1=9 \left(x-\dfrac13 \right)^2$

$\implies \dfrac19 = \left(x-\dfrac13 \right)^2$

$\implies \sqrt{\dfrac19} = x-\dfrac13$

$\implies \pm \dfrac13 = x-\dfrac13$

$\implies x=\dfrac23, x=0$

Therefore, the endpoints of the horizontal chord are: (0, 1) and (2/3, 1)

To calculate the length of the chord, find the difference between the x-coordinates:

$\implies \dfrac23-0=\dfrac23$

**Please see attached diagram for drawn graph. Chord is in red**

6 0

1 year ago

This bottle holds 720ml.It is 3/8 full.How much liquid is in the bottle?

chubhunter [2.5K]

Answer: It should be 270 ml

Step-by-step explanation:

To find 3/8 of 720, we need to know 1/8

Divide 720 by 8, this gives you 90

Now multiply 90 by 3 to get 3/8

Answer is 270 ml

4 0

2 years ago

ILL GIVE U BRAINLYIST IF U ANSWER. Find the solution to the system of equations below (you can do this by substitution or elimin

cricket20 [7]

Elimination:

-4x+y=6

-5x-y=21 ...and then u add them together so its;

(the y cancelled out so its 0) x =27

plug in the 27 to any x...

-4(27) + y = 6

-108+y=6

add -108 on both sides so its...

y= -102

(27, -102)

Hope this helped :)

7 0

2 years ago

Is 1/3+ 5 perpendicular

MrRa [10]

Answer:

yes 1/3 5 isb don't ehejdvduvrjdvdjrnrrjr didojdgovrodb

3 0

3 years ago

Read 2 more answers

Serggg [28]

Answer:

B. 252

Step-by-step explanation:

To find the answer, you have to use the formula to calculate the number of combinations as in this case, the order in which the objects are selected doesn't matter:

nCr=n!/r!(n-r)!

n= number of sample points: 10

r= number of sample points in each combination: 5

10C5= 10!/5!(10-5)!

10C5= 10!/5!*5!

10C5= 252

According to this, the answer is that you have 252 different ways to choose your school lunch.

5 0

3 years ago

Calculate 6 P 6 note n p r equals n Over N - r​

Calculate 6 P 6 note n p r equals n Over N - r