Answer:
Use the pythagorean theorem to solve.
Step-by-step explanation:

The square root and the square cancel out. Then your answer will be the square root of 13 or 3.60555127546. Since the instructions say to round to 2 places we will do so. 3.61 meters is the length of the slide
Answer:

Step-by-step explanation:
Given
--- Amplitude
--- Right phase shift
Required
Identify the function
A sinusoidal function is defined as:

Substitute values for A and C

By comparison, only option (D) has the above format where

Hence (D) is correct
Answer:
see explanation
Step-by-step explanation:
The sum of the first 9 consecutive odd numbers is
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81
Answer:
db / dt = kb
this becomes b(t) = Ce^(kt)
C = 100, the initial population
P(1) = 420 = 100 e^(1k)
4.2 = e^k
ln 4.2 = k
a) thus, b(t) = 100 e^(t ln 4.2)
b) b(3) = 100 e^(3 ln 4.2)
c) growth constant will still be ln 4.2 (constant percentage of populatioin)
d) 10000 = 100 e^(t ln 4.2)
100 = e^(t ln 4.2)
ln 100 = t ln 4.2
t = ln 100 / ln 4.2
Step-by-step explanation: