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3 years ago

11

There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles

1 answer:

IRISSAK [1]3 years ago

5 0

8 kilometers is the answer

Hope this helps!:)

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Prove that C(50,3) + C(50,4) = C(51,4)

valkas [14]

By definition of the binomial coefficient,

$C(n,k) = \dfrac{n!}{k!(n-k)!}$

so we have

$C(50,3) + C(50,4) = \dfrac{50!}{3!47!} + \dfrac{50!}{4!46!} \\\\ = \dfrac{50!}{3!46!} \left(\dfrac1{47} + \dfrac14\right) \\\\ = \dfrac{50!}{3!46!} \times \dfrac{51}{188} \\\\ = \dfrac{51!}{3!46!} \times \dfrac1{4\times47} \\\\ = \dfrac{51!}{4!47!} \\\\ = \dfrac{51!}{4!(51-4)!} = C(51,4)$

as required.

5 0

2 years ago

Can someone please answer this for me it's for a homework assignment.

Ulleksa [173]

Slope as an (improper fraction)-9/7, it can’t be simplified

5 0

3 years ago

PLZ HELP 70 POINTS!!!!!

marin [14]

5^(x+7)=(1/625)^(2x-13)

We move all terms to the left:

5^(x+7)-((1/625)^(2x-13))=0

Domain of the equation: 625)^(2x-13))!=0

x∈R

We add all the numbers together, and all the variables

5^(x+7)-((+1/625)^(2x-13))=0

We multiply all the terms by the denominator

(5^(x+7))*625)^(2x+1-13))-((=0

We add all the numbers together, and all the variables

(5^(x+7))*625)^(2x-12))-((=0

We add all the numbers together, and all the variables

(5^(x+7))*625)^(2x=0

not sure if this is right :/

8 0

3 years ago

Read 2 more answers

A carpenter bought a piece of wood that was 112 centimeters long. Then he sawed 24.53 centimeters off the end. How long is the p

saul85 [17]

Answer:

87.47 cm

Step-by-step explanation:

112-24.53 is 87.47

8 0

3 years ago

What is the equation of the following line? Be sure to scroll down first to see

guajiro [1.7K]

Answer:

$y = \frac{2}{7} x$

Step-by-step explanation:

The slope is

$slope = \frac{rise}{run} = \frac{2}{7}$

The y-intercept is 0

5 0

3 years ago