Answer:
n =7
Step-by-step explanation:
(n+1) +1 + (n-1) = value first row
3+ (2n-9) +n = value second row
The value has to be the same
Set the equations equal
(n+1) +1 + (n-1) =3+ (2n-9) +n
Combine like terms
2n+1 = 3n-6
Subtract 2n from each side
2n+1-1 -2n = 3n-6-2n
1 = n-6
Add 6 to each side
1+6 = n-6+6
7 = n
To do this problem, you need to find how many questions per minute she can do. You would need to do 21 divided by 14. Which equals 1.5 questions per minute. From there you would do 1.5 times 30 and get 45.
So she can get 45 questions in 30 minutes.
Hope that helps!!
Answer:
He showed that f(n) ÷ f(n - 1) was a constant ratio.
Given that Jake has proved that a function f(x) is a geometric sequence.
GEOMETRIC SEQUENCE: A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.
So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.
That is, if 'c' is the constant that was used in the proof, then we must have
This implies that
Therefore, he showed that f(n) ÷ f(n - 1) was a constant ratio.
The answer is <span>10 units
</span>
The diameter of the cylinder (d) is the twice of its radius (r): d = 2r
The volume (V) of the cylinder with radius r and height h is:
V = π r² h
We have:
d = 2r
r = ?
h = 7
π = 3.14
V = 175π
175π = π * r² * 7
175 = r² * 7
r² = 175/7
r² = 25
r = √25
r = 5
d = 2r
d = 2 * 5
d = 10
Answer:
The last one 5x-3y=15 This is the same as y= (5/3)x -5
Step-by-step explanation:
5x-3y=15
Move 5x to the right (becoming negative)
-3y = -5x +15
Divide everything by - 3
y= (5/3)x -5
y intersect= -5 ( line crosses y coordinate at -5)
Slope = 5/3 From -5 you start counting (5 up,3 right,5 up,3 right.... OR 5 down,3 left,5 down,3 left........)