Answer:
(B) 
Step-by-step explanation:
we can use formula
where
Po is the initial population
r is the growth rate
t is the time in months
We are given
initial population of insects
so, Po=6
The scientists find that the insect population, x, is growing exponentially 20% per month
so, r=0.20
now, we can plug these values
there to be a population of 477 insects
so, P(t)=477
now, we plug it
and we get
1) Graph the corresponding equation \( x = 2 \); this will split the plane into two regions. One of the region represents the solution set.
2) Select a point situated in any of the two regions obtained and test the inequality. If the point selected is a solution, then all the region is the solution set. If the selected point is not a solution, then the other (second) region represents the solution set.
3) Test: In this example, let us for example select the point with coordinates (3 , 2) which is in the region to the right of the line x = 2. If you substitute x in the inequality \( x ≥ 2 \) by 3 it becomes \( 3 ≥ 2 \) which is a true statement and therefore (3 , 2) is a solution. Hence, we can conclude that the region to the right of the vertical line x = 2 is a solution set including the line itself which is shown as a solid line because of the inequality symbol \( ≥ \) contains the \( = \) symbol. The solution set is represented by the blue hash region in the graph below including the line x = 2.
You have to use Pythagoreans theorem. 225=144+x^2
x^2 = 81
sq root of 81 is 9
it is 9 feet away from the wall.
8/1 × 3/4
Cancel out the 8 and 4
2 × 3
=6
<u>Answer</u>
c. 62/95
<u>Explanation</u>
Probability is the chance of an event happening.
Probability = (favorable outcome)/(total outcome)
P(girl) = 12/20 × 11/19
= (12×11)/(20×19)
= 132/380
= 33/95
P( not a girl) = 1 - 33/95
= 62/95
