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Sindrei [870]
3 years ago
8

What is the value of 10C3?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0
The answer is B. 120

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

n = 10
r = 3

10C3 = 10! / ((3! * (10 - 3)!)
         = 10! / ((3! * 7!)
         = (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1 * 7 * 6 * 5 * 4 * 3 * 2 * 1)
         = 3628800 / 30240
         = 120
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Point Fis on line segment EG. EG = 100, EF = 4x - 20, and FG = 2x + 30. Write an equation that you would use to solve for x, the
andrew-mc [135]

Step-by-step explanation:

Line segment = EG

point on a line segment = F

EG = 100

EF = 4x - 20

FG = 2x + 30

a/q, EF + FG = EG

the equation is

4x - 20 + 2x + 30 = 100

now solution for x is

→ 4x - 20 + 2x + 30 = 100

→ 6x + 10 = 100

→ 6x = 100 - 10 = 90

→ x = 90/6 = 15

therefore, value of x is 15.

and according to given information

EF = 4x - 20 = 4(15) - 20 = 60 - 20 = 40

FG = 2x + 30 = 2(15) + 30 = 30 + 30 = 60

hope this answer helps you dear..take care and may u have a great day ahead!

3 0
3 years ago
Find the slope of the line tangent to the
g100num [7]
Ln(xy) - 2x =0

slope of the tangent line = derivative of the function

[ln(xy)]' = [2x]'

[1/(xy)] [y + xy'] = 2

y + xy' = 2(xy)

xy' = 2xy - y =y(2x-1)

y' = y(2x-1)/x

Now use x = -1 to find y and after to find y'

ln(xy) = 2x
x=-1
ln(-y) =-2

-y = e^-2

y = - e^-2

y' = [-e^-2][2(-1)-1]/(-1) = [e^-2](-2-1)= [e^-2](-3) = - 3e^-2

Answer: option 6. from the list
8 0
3 years ago
Which table represents the same rebellion as the set {(-6,4) ,(-4,0) ,(-3,2) ,(-1,2)}
alina1380 [7]
I think you meant to say "relation" instead of "rebellion"? I'm not sure. Anyways, all you're looking for is the table with the x values -6, -4, -3, -1 which pair up with the y values 4, 0, 2, 2 in that exact order.

Table B does this exactly. The first row represents x = -6, y = 4. The second row represents x = -4, y = 0. The third row represents x = -3, y = 2. The fourth row represents x = -1, y = 2.

Answer: Choice B
5 0
3 years ago
Me ayuda con este ejercicio<br><img src="https://tex.z-dn.net/?f=%28%20%2B%201%29%28%20%2B%203%29" id="TexFormula1" title="( + 1
mario62 [17]
1×3 = 3

answer is + 3
7 0
2 years ago
Help <br> Note: link is a document<br> Please do not remove
lbvjy [14]
Broo it’s blank for me....
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2 years ago
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