Answer:
Step-by-step explanation:
-The locust population grows by a factor and can therefore be modeled by an exponential function of the form:
Where:
is the population after t days.
is the initial population given as 7600
is the rate of growth
is time in days
-Given that the growth is by a factor of 5( equivalent to 500%), the r value will be 5
-The population increases by a factor of 5 every 22 days. therefore at any time instance, t will be divided by 22 to get the effective time for calculations.
Hence, the exponential growth function will be expressed as:
Total distance covered = 5 x 30 = 150 miles
Angle of travel with respect to south pole = 180 - 164°56' = 15°4'
Let the distance southwards covered be x, then
cos 15°4' = x/150
Thus, x = 150 cos 15°4' = 144.84
Therefore, the distance covered southwards = 145 miles to the nearest mile.
You need to put the equations?
Answer:
4 x^3 - 3 x^2
Step-by-step explanation:
Expand the following:
x^2 (4 x - 3)
x^2 (4 x - 3) = x^2×4 x + x^2 (-3):
4 x^2 x - 3 x^2
x^2×4 x = x^(2 + 1)×4:
4 x^(2 + 1) - 3 x^2
2 + 1 = 3:
Answer: 4 x^3 - 3 x^2
Answer:
x^2 + 10x + 25
Step-by-step explanation:
(B/2) ^2
10/2 = 5
5^2 = 25
