A(n) =2+9(n-1)= 2 + 9n - 9= 9n -7
A(n-1)= 2+9[(n-1)-1]= 2 + 9(n-2)= 2+ 9n - 18= 9n -16
A(n)- A(n-1)= (9n-7)-(9n-16) = -7+16=9
A(n)= A(n-1) +9 is the answer
Answer: $5
Step-by-step explanation:
For every $3 raised by basketball players, football players would raise $2.50.
If basketball players raised $6 therefore, we can use direct proportion to find out what football players raised:
3 : 2.50
6 : x
Cross multiply:
3x = 15
x = 15 / 3
x = 5
Football players raised $5.
Answer:
A=130
Step-by-step explanation:
The number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed is 243.
According to the given question.
The total number of elements, n = 3
The number of elements to be selected at a time when repetition is allowed, r = 5
Since, we know that " the number of ways or permutations of n things taken r all at a time, when repetition of things are allowed, is 
.
Therefore,
The number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed
= 
= 243
Hence, the number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed is 243.
Find out more information about permuations here:
brainly.com/question/13833229
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<span> we know the length of the cable is 9m.
That means the magnitude of </span><span><span>r<span><span><span>AB</span></span><span></span></span></span>=9</span><span>m.
The unit vector, denoted u, is each of </span><span>r<span><span><span>AB</span></span><span></span></span></span><span> divided by the magnitude.
</span>u=<span>(<span><span>x/9</span><span></span></span>i−<span>y/9<span></span></span>j−<span>z/9<span></span></span>k<span>)
</span></span><span>We can also figure out the unit vector of F.
</span>u=(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.
Therefore
</span>(x/9i−y/9j−z/9k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m
The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>
