Answer:
b. 70
Step-by-step explanation:
The Binomial Coefficient can be used to calculate the number of ways objects can be arranged.
<u>Binomial Coefficient</u>
The exclamation mark "!" placed after a number means factorial and indicates to multiply all whole numbers from the given number down to 1.
Example: 4! = 4 × 3 × 2 × 1
The Binomial Coefficient gives us the number of ways of picking "r" unordered outcomes from "n" possibilities.
As there are 8 friends ⇒ n = 8.
As each car takes 4 friends ⇒ r = 4.
Substitute these values into the formula:
Learn more about the binomial coefficient here:
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Answer:
63 not 36 lol the answers B
Step-by-step explanation:
2.25/3=0.75.....0.75*2= 1.5. 1.5 is your answer.
Factor by grouping. Group up the terms into pairs, factor each pair, then factor out the overall GCF.
x^3 + 2x^2 - 16x - 32
(x^3 + 2x^2) + (-16x-32) ... pair up terms
x^2(x + 2) + (-16x - 32) ... factor x^2 from the first group
x^2(x + 2) - 16(x + 2) ... factor -16 from the second group
(x^2 - 16)(x + 2) .... factor out (x+2)
(x - 4)(x + 4)(x + 2) .... Use the difference of squares to factor x^2-16
---------------------------
The original expression completely factors to (x - 4)(x + 4)(x + 2)
The three factors are x - 4 and x + 4 and x + 2
Answer:
x = 20
Step-by-step explanation:
Given the triangles are congruent then corresponding angles are congruent, so
∠ N = ∠ E
To calculate ∠ E subtract the sum of the 2 given angles from 180
∠ E = 180 - (x - 5 + 4x - 10)
= 180 - (5x - 15)
Equate ∠ N and ∠ E
5x - 5 = 180 - 5x + 15 ( add 5x to both sides )
10x - 5 = 195 ( add 5 to both sides )
10x = 200 ( divide both sides by 10 )
x = 20
