9=3^2
3^(2x)=(3^2)^(3x-4)
3^(2x)=3^(6x-8)
2x=6x-8
0=4x-8
8=4x
2=x
Answer:
A = 102 B = 78 C = 56
Step-by-step explanation:
All three sides of a triangle added up equals 180.
So 41 + 37 + A = 180
A = 102
A straight line = 180 degrees.
One measurement is 102, so the other is 78.
You now know B is 78, and that 3 angles equal 180.
46 + 78 + c = 180
c= 56
There were 2.07 times as much people that applied in the fourth month than in the first month.
<h3>What is an exponential function?</h3>
An exponential function is one that grows or decreases in an exponential manner. Thus, for any exponential function we can write; f(x) = ax^±n. The term a is the initial value x is the rate of change while n is the time elapsed. The positive sign is used for an exponential increase while the negative sign is used for an exponential decrease.
Thus we have;
f(x) = 27(1.2)^4
This shows us that the time elapsed is four months and f(x) = 2.07.
Therefore, there were 2.07 times as much people that applied in the fourth month than in the first month.
Learn more about exponential function:brainly.com/question/11487261?
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This is 90,000 is your answer
You have ratios 3:4, 4:3, 2:5 and 5:2. Each of these ratios is such that in total gives 7.
Divide segment AB in seven equal parts. Then:
- Point P partitions the directed line segment from A to B into a 3:4 ratio. This means that point P lies three such parts to the right from point A and four such parts to the left from point B.
- Point Q partitions the directed line segment from A to B into a 4:3 ratio. This means that point Q lies four such parts to the right from point A and three such parts to the left from point B.
- Point R partitions the directed line segment from A to B into a 2:5 ratio. This means that point R lies two such parts to the right from point A and five such parts to the left from point B.
- Point S partitions the directed line segment from A to B into a 5:2 ratio. This means that point S lies five such parts to the right from point A and two such parts to the left from point B.
As you can see the closest point to point B is point S, because it lies 2 parts to the left from point B and and this amount of parts is the smallest one.
Answer: correct choice is point S.
