Answer:
7 feet
Step-by-step explanation:
the new height of the bush can be represented in percentage form as 100% + 40% = 140% = 1.40
1.40 x 5 = 7 feet
Method 2
find 40% of 5 feet
0.4 x 5 = 2
Add 5 + 2 = 7 feet
Answer:
The distance between both points would be of 17 units
Step-by-step explanation:
they have the same value through the y-axis. However if you count the spots from 3 to -14 their x values are 17 units apart.
Answer: B) 4 & 1/6
Nice work on getting the correct answer.
============================================================
Explanation:
x is opposite the marked acute angle
5 is opposite the corresponding acute angle
So x and 5 are proportional to each other. We can form the ratio x/5
Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.
Set those ratios equal to each other and solve for x
x/5 = 10/12
12x = 5*10 ... cross multiply
12x = 50
x = 50/12 ...... divide both sides by 12
x = (25*2)/(6*2)
x = 25/6
x = (24+1)/6
x = 24/6 + 1/6
x = 4 + 1/6
x = 4 & 1/6 which shows why <u>choice B</u> is the answer.
Side note: 25/6 = 4.167 approximately
Answer:

Step-by-step explanation:
The logistic equation is the following one:

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.
In this problem, we have that:
Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that
.
The number of fish tripled in the first year. This means that
.
Using the equation for P(1), that is, P(t) when
, we find the value of r.









Applying ln to both sides.


This means that the expression for the size of the population after t years is:

What are you trying to solve for?