Answer:
7.591 x 10^10
Step-by-step explanation:
You have to move the decimal point over until you have a number under 10 and also the number of times you had to move the decimal point at the end of the number over is your exponent for 10
Answer:
The given sequence 6, 7, 13, 20, ... is a recursive sequence
Step-by-step explanation:
As the given sequence is

- It cannot be an arithmetic sequence as the common difference between two consecutive terms in not constant.
As
, 
As d is not same. Hence, it cannot be an arithmetic sequence.
- It also cannot be a geometrical sequence and exponential sequence.
It cannot be geometric sequence as the common ratio between two consecutive terms in not constant.
As
,
, 
As r is not same, Hence, it cannot be a geometric sequence or exponential sequence. As exponential sequence and geometric sequence are basically the same thing.
So, if we carefully observe, we can determine that:
- The given sequence 6, 7, 13, 20, ... is a recursive sequence.
Please have a close look that each term is being created by adding the preceding two terms.
For example, the sequence is generated by starting from 1.

and

for n > 1.
<em>Keywords: sequence, arithmetic sequence, geometric sequence, exponential sequence</em>
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Answer:
Well, in reality, all circles are similar to each other. They will all have the same angles, and they don't really have side lengths. So, they are similar.
But to PROVE they are similar, we will transform Circle C to match circle E.
Circle C has a center at (-3, 1), and Circle E has a center of (4, 9). For Circle C to have the same center as Circle E, we will translate Circle C 7 units to the right, and 8 units up.
Since Circle C has a radius of 4, and Circle E has a radius of 3, dilate Circle C by a factor of 3/4. That way, the radius is 3 units as well.
And there you go! The two circles will map perfectly on top of each other.
Hope this helps!
For this case we propose a system of equations:
x: Let the variable representing the number of children in the concert
y: Let the variable representing the number of adults at the concert
According to the assistance we have:

According to the cost we have:

Substituting the first in the second equation we have:

Thus, the concert was 375 adults.
On the other hand we have:

Thus, the concert was 1125 children.
In total they were:
people
ANswer:
The concert was 1500 people
Answer:
Yes
Step-by-step explanation:
using pythagorus theorum: a^{2} + b^{2} = c^{2}
24^{2} +32^{2} = 1024+576
= 1600
40^{2} = 1600
thus, it can be concluded that these lengths can be the sides of a right-angled triangle.