Answer: -0.5.
Step-by-step explanation:
The constant of variation k for the direct variation is given by:-
The given table:
x f( x )
0 0
2 -1
4 -2
7 -3.5
Then,
Hence, the constant of variation k for the direct variation is -0.5.
Answer:
ok
Step-by-step explanation:
x+7+25+2x+4=180
3x+11+25=180
3x=180-36
3x=144
<em>x</em><em>=</em><em>1</em><em>4</em><em>4</em><em>/</em><em>3</em>
<em>x</em><em>=</em><em>4</em><em>8</em>
The question is not complete because it is not written correctly
Complete Question:
The drama club is holding auditions for five different parts in a one act play. If 9 people audition, how many ways can the roles be assigned?
a. 362,880
b. 15,120
c. 126
d. 120
Answer:
b. 15,120
Step-by-step explanation:
In other to solve the question above, we would use the formula for permutation.
This is because when assigning 5 DIFFERENT roles to 9 people, the order of assigning the roles is important. The formula for permutation, is used when order is involved.
Permutation (n, r) = nPr = n!/(n - r)!
In the above question,
n = 9 people
r = 5 different parts
9P5 = 9!/(9 - 5)!
= 9!/4! = 9×8×7×6×5×4×3×2×1/ 4×3×2×1
= 362880/ 24
= 15,120
Therefore, the number of ways that the roles can be assigned is 15,120 ways
Answer is 6 miles. See explanation attached photo
