Answer:
30°
Step-by-step explanation:
•angle 8 would be the same as angle 6
•angle 6 is next to angle 3
•if you were to add angle 6 and 3 it should equal 180°
180-150=30°
i rlly hope this is correct and helps <3
Answer:
The answer is 166/21, or 7 19/21
Step-by-step explanation:
First, you would set up the equation, which is:
13 1/7 - 5 5/21
Next, you would turn them into an improper fraction, which is:
92/7 - 110/21
Then, you would multiply 92/7 by 3/3 because that is the least common multiple for 21 and 7 (which are the denominators). When you are done multiplying, the equation would be:
276/21 - 110/21
Afterwards, you would subtract the numerators and leave the denominators alone, which gives you the answer 166/21. As a mixed number, this would equal 7 19/21.
x= -15/4 => x= -3 3/4 or x= -3.75
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.
