A divide by sin A = b divide by sin B
1. 27 divide by sin 68=22 divide by sin x
Sin x=sin 68 times 22 divide by 27
Sinx=0.65696
X=71.7 degrees
Step-by-step explanation:
Part C: Of the following choices, which equation is the best fit line for the data
As we can see from the data, the population size are decreased year by year, so the slope of the line of best fit must be a negative number.
So we have: C and D left.
Let x = 0, year 2005, the population size is 296 around 320, hence, we choose D.
D f(x) = -34x + 320
Part D: What is the predicted population size for the year 2010? How does that compare to the real data? Round to the nearest million.
year 2010, x =5 so let substitute x =5 into f(x) = -34x + 320
<=> f(x) = -34*5 + 320
= 150 mil
The result is smaller than the real data, (201-150 = 51 mil)
Part E: In what year is the population predicted to go extinct
the population predicted to go extinct when f(x)= 0
<=> -34x + 320 = 0
<=> x ≈ 9.4
So after 10 years, the the population predicted to go extinct
The Correct choices are :
<u>Question</u> 1 :
c. commutative property of multiplication
<u>Question</u> 2 :
d. commutative property of addition
<u>Question</u> 3 :
c. , -0.4, 0.8, ,
Answer:
2/3 is the correct answer
Step-by-step explanation:
2/9th divided by 1/3 would equal 2/3.
Answer:
(f-g)(4) = 10
Step-by-step explanation:
(f-g)(x) = f(x) - g(x)
= 1/2 x^2 - 1/4 x + 4 - 1/2 x + 1
= 1/2 x^2 - 1/4 x - 1/2 x + 4 + 1
= 1/2 x^2 - 3/4 x + 5
(f-g)(4)
= 1/2 (4)^2 - 3/4 (4) + 5
= 1/2 * 16 - 3 + 5
= 8 - 3 + 5
= 5 + 5
= 10