Answer:
2nd option
Step-by-step explanation:
Given
2x - 8y + 3x² + 7y - 12x ← collect like terms
= 3x² + (2x - 12x) + (- 8y + 7y)
= 3x² + (- 10x) + (- y)
= 3x² - 10x - y
Answer:
1.4% is the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Step-by-step explanation:
We are given the following in the question:
The exponential growth model is given by:
where k is the growth rate, t is time in years and 
is constant.
The world population is 5.9 billion in 2006.
Thus, t = 0 for 2006
We have to find the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Putting these values in the growth model, we have,
1.4% is the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Answer:
23.68
Step-by-step explanation:
74% = 74/100
· 
= 23.68
Reorder 2 cos (2y) and sin (2y)
= sin (2y)(2 cos(2y))
Remove parenthesis
= sin (2y) * 2 cos (2y)
Reorder sin (2y) and 2
= 2 * sin (2y) cos (2y)
Apply the sine double-angle identity
= sin (2(2y))
Now multiply 2 by 2
<u>= sin (4y) </u>
Option C
The football team had a overall loss of 2 yards
<em><u>Solution:</u></em>
When the team gains yards we use a positive value, and when the team loses yards we use a negative value.
<em><u>Given that, football team gains 2 yards on the first play</u></em>
First play = +2
<em><u>Given that football team loses 5 yards on the second play</u></em>
Second play = -5
<em><u>Given that football team loses 3 yards on the third play</u></em>
Third play = -3
<em><u>Given that football team gains 4 yards on the fourth play</u></em>
Fourth play = +4
Put the yards from four plays together, we get
⇒ 2 -5 -3 + 4
Let us simplify
⇒ -3 -3 + 4 = -6 + 4 = -2
So, -2 represents loss of two yards (since negative value indicates loss)
