Answer:
a.
b.
Step-by-step explanation:
a. From the information provided, we can deduce that the population death's follows a Geometric sequence in the form 
where 
and 
#Since the population is reducing, 
can is obtained as 
#The 
term is obtained using the formula 
, given a=1200
The number of ants alive after every month (in first 4 months)
The ant's alive after 4 months is obtained as the value of 
Hence, 936 ants are alive after 4 months.
b. As with the above question, the kitten population follows a geometric sequence: .
#Since it's a growing population , the common ration is the sum of 100% + the growth rate,
and 
and
The population after 4weeks will be:
Answer:
Step-by-step explanation:
The sum of the interior angles of this triangle must be 180 degrees.
Thus, angle x is 180 degrees less (39 degrees plus 125 degrees), or
x = 180 degrees - 164 degrees = 16 degrees.
Because of the 125 degree angle, this is an obtuse triangle.
Answer:
25 units
Step-by-step explanation:
use the distance formula to get the square root of 24² + 7²
this will give you the square root of 625, which is 25
Answer:
390
Step-by-step explanation:
Answer:
The volume of a box with sidelines that are 20 inches is 8000 cubic inches
Step-by-step explanation:
The volume of a box with sidelines that are 20 inches can be determined by using the formula
B = S³
Where S is the length of one side
and B is the Volume
From the question, the sidelines of the box are 20 inches. That is
S = 20 inches
From
B = S³
B = (20 inches)³
B = 20 inches × 20 inches × 20 inches
B = 8000 cubic inches
Hence, the volume of a box with sidelines that are 20 inches is 8000 cubic inches.
