9514 1404 393
Answer:
13 : 33
Step-by-step explanation:
hearts : all shapes = hearts : (hearts + circles) = 13 : (13 +20) = 13 : 33
Answer:
Step-by-step explanation:
11.04 = 10(1.02)^n
1.104 = 1.02^n
ln 1.104 = ln 1.02^n
ln 1.104 = n ln 1.02
n = ln 1.104/ ln 1.02
n = 4.99630409516
4.99 can be rounded to 5.
So a reasonable domain would be 0 ≤ x < 5
PART B)
f(0) = 10(1.02)^0
f(0) = 10(1)
f(0) = 10
The y-intercept represents the height of the plant when they began the experiment.
f(1) = 10(1.02)^1
f(1) = 10(1.02)
f(1) = 10.2
(1, 10.2)
f(5) = 10(1.02)^5
f(5) = 10(1.1040808)
f(5) = 11.040808
f(1)=10(1.02)^1
f(1)=10.2
Average rate= (fn2-fn1)/(n2-n1)
=11.04-10.2/(5-1)
=0.22
the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.
Answer:

∠
°
Step-by-step explanation:



- The cosine of an angle is equal to the side adjacent to the angle over the hypotenuse, the longest side.

- We need to find the hypotenuse of this triangle. This is relativly easy to do with a right triangle; we can just use the Pythagorean Theorem.
- Pythagorean Theorem:
where
,
, and
are the 3 different sides of a right triangle.

- Our hypotenuse is
. Now we can finish solving for ∠
.

∠
°