Answer:
Answer: a5 = 2500
Step-by-step explanation:
For a geometric sequence:
First term = a0
Second term = a1 = a0*r
Third term = a2 = a0*r^2
Fourth term = a3 = a0*r^3
....
nth term = a(n-1) = a0*r^(n-1)
Given: a1 = 4 = a0*r
Also: r = 5
So, a0*5 = 4 => a0 = (4/5)
a5 = a(6-1) = Sixth term = a0*r^5 = (4/5)*5^5 = 2500
Hope this helps
correct me if im wrong☺
Answer:
32
Step-by-step explanation:
given the triangle is right triangle
c^2 = a^2 + b^2
40^2 = 24^2 + b^2
1600 = 576 + b^2
b^2 = 1024
b = 32
Answer:
Step-by-step explanation:
In this problem, we have the following linear equations:
y=3x+5
y=ax+b
We know that a linear equation is an equation for a line. In a system of linear equations, two or more equations work together.
1. What values for a and b make the system inconsistent?
A system is inconsistent if and only if the lines are parallel in which case the system has no solution. This is illustrated in the first Figure bellow. Two lines are parallel if they share the same slope. So, the system is inconsistent for:
a=3
for any value of b
2. What values for a and b make the system consistent and dependent?
A system is consistent if and only if the lines are the same in which case the system has infinitely many solutions. This is illustrated in the second Figure bellow. So, the system is consistent and dependent for:
a=3 and b=5
Answer:

The world population at the beginning of 2019 will be of 7.45 billion people.
Step-by-step explanation:
The world population can be modeled by the following equation.

In which Q(t) is the population in t years after 1980, in billions, Q(0) is the initial population and r is the growth rate.
The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of approximately 1.3%/year.
This means that 
So


What will the world population be at the beginning of 2019 ?
2019 - 1980 = 39. So this is Q(39).


The world population at the beginning of 2019 will be of 7.45 billion people.
No. If one student each handed in their homework but six did not hand in an exit ticket.