Answer:
<em>P=1620</em>
<em>Third option</em>
Step-by-step explanation:
<u>Horizontal Asymptotes</u>
A given function is said to have a horizontal asymptote in y=a, if:
Or,
For the given function, the population of the species of bird is given by
:
Where t is the time in years. To find the horizontal asymptote, we should compute both limits to check if they exist.
When t tends to plus infinity, P tends to 1620
.
The second asymptote is computed by:
When t tends to minus infinity, P tends to zero. Since the domain of P is 
, this asymptote is not valid, thus our only asymptote is
Answer:
The correct answer is C! :)
Step-by-step explanation:
Answer:
B = 160°
Step-by-step explanation:
This is how I solved it (I hope the explanation isn't too confusing):
Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC
Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).
So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.
There are 180° in a triangle, so add the two interior angles you know:
30° + 80° = 110°
Then subtract 110° from 180° to find the final interior angle which is:
180° - 110° = 70°.
To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:
90° + 70° = 160°
Answer:
3( root 3 /2)^2 + 3/4 (root 3 )^2 - 2(2/ root 3) ^2 - 3/4 (1/root3)^2
= 3 ×3 /4 + 3 × 3 /4 - 2 ×4 /3 - 3/4 × 1/3
= 9/4 + 9/4 -8/ 3 - 1/4
= 9/4 + 9/4 - 1/4 - 8/3
= 17/4 - 8/3
=( 17 × 3 - 8 × 4 )/12
= (54 -32)/12
= 19 /12
