Answer:
B
Step-by-step explanation:
Using the cofunction identity
sin x = cos(90 - x)
Given
sin(3x + 19) = cos(5x - 25), then
3x + 19 = 90 - (5x - 25)
3x + 19 = 90 - 5x + 25
3x + 19 = 115 - 5x ( add 5x to both sides )
8x + 19 = 115 ( subtract 19 from both sides )
8x = 96 ( divide both sides by 8 )
x = 12 → B
Answser: first option <span>350(0.95)^x + 30x - 350
Explanation:
You can figure out the </span><span>function that shows the difference in price between option 1 and option 2 if you make a table simulating the behavior for a few months:
month price as per option 1 price as per option 2
start 350 350
1 350 - 5% (350) = 350 - 30
= 350 (0,95)
2 350 (0,95)×(0,95) =
350 (0,95)² 350 - 30(2)
3 350 (0,95)³ 350 - 30(3)
So now you can figure out the price with each option after x months:
350 (0.95)ˣ 350 - 30x
And the difference is 350 (0.95)ˣ - [350 - 30x]
Which, expanding the square brackets, is 350 (0.95)ˣ + 30x - 350 ↔ the first option.
</span>
Answer:
[[5,2],[[4,1],
[3,0]]+[6,7]]
=
[[9,3],
[9,7]]
Step-by-step explanation:
you add 5+4,2+1,6+3,7+0
Answer: B. Being around cigarette smokers and developing heart disease .
C. Independent. Being around cigarette smokers does not cause heart disease.
Step-by-step explanation:
Given : A study found that there is no relationship between being around cigarette smokers and developing heart disease.
i.e. The two events here are Being around cigarette smokers and developing heart disease .
Since there is no relationship between the above two events.
Being around cigarette smokers does not cause heart disease.
It means that the two events are not dependent on each other i.e. they are independent.
