Answer:
56
Step-by-step explanation:
1:8= 7:?
1*?=7
/1 /1
1*7=7
8*7=56
1:8 = 7:56
Answer:
The initial value of the function is <u>2</u>
The base of the function is <u>3</u>
The function shows exponential <u>growth</u>
Step-by-step explanation:
f(x) = 2(3^x)
Exponential functions are those with the following equation:
y = a*b^x
where a ≠ 0, b > 0 and b ≠ 1 and x is a real number.
<em>a</em> is the y-intercept and <em>b </em>is the base.
The initial value of the function is the same as the y-intercept
If <em>a</em> is positive, the function growth. If <em>a</em> is negative, the function decay
First, I'd like to say that this question is flawed because the diameter of the spool changes as you pull the line out. Some would argue it's negligible I suppose.
At any rate, assuming there's a magic spool where the diameter doesn't change, let's find the cicumference so we can find the length of one wrap around the spool.
circumference = 2*pi*r = 2 * pi * 4cm = about 25.133 cm
Now if it turns 16 times we'll have 16 times the circumference.
16 * (25.133 cm)
= 402.128 cm
