Answer: The value of x from the equation is 64 ft. Thus, they will be needing approximately 64 ft of rope.
Step-by-step explanation: The concept that is useful in order to answer this item is the concept of ratio and proportion. Let x be the height of the rock from the ground. We use the equation below to answer.
5.5 ft / 18 ft = x ft / 209.5 ft
F(x)=x^2
g(x)=(x-4)^2+2
In general, for horizontal shift h, and vertical shift k,
g(x)=(x-h)^2+k
by comparison, we have h=+4, k=+2
=>
horizontal translation of +4 (to the right) and vertical translation of +2 (up)
Answer:
Sum (from n = 0 to n = 33) of 10 + 15 * n
Step-by-step explanation:
The sigma notation is to express an arithmetic series as a summation, in this case we can see that it starts at 10 and ends at 505.
What we can notice is that the values are increasing by 15 units, therefore that will be the proportion that accompanies "n".
Now, we must calculate, how many times is "n", in the final value, for this we subtract the initial value, that is 10 and divide it by 15.
505 - 10 = 495/15 = 33
So "n" goes up to 33
So that series is expressed like this:
Sum (from n = 0 to n = 33) of 10 + 15 * n
Answer:
15 girls
Step-by-step explanation:
Girls : Boys
5 3
To get to 9 boys multiply by 3
Girls : Boys
5*3 3*3
15 9
There are 15 girls
