1.) 3.06 x10^13
2.) 3.199996 x10^12
3.) 7.75 x10^7
Answer:
The common ratio is
The next term in the sequence is 2
Step-by-step explanation:
In a geometric sequence, the common ratio is the constant value you multiply a term by in order to find the value of the following term. Therefore, it is mathematically calculated as the quotient between a term and the term immediately before it. And it is in fact That is:
common ratio
This quotient should be true for any two consecutive terms in the sequence.
so using the first two terms, we find:
You can test that this common ratio is true for all other terms listed:
So now, in order to find the term that follows, all we need to do is to multiply the last term given (8) by this common ratio:
The angles are 45° 60° and 75°
Elaboration:
Let the three angles be 3x 4x and 5x
( since the sum of interior angles of triangle=180° )
3x+4x+5x= 180
12x = 180
x = 15
3x= 45
4x= 60
5x= 75
Answer:
This may occur when you decide to determine a function as well as a graph.
Step-by-step explanation:
Hope this helps! :D
We already know that the hourly rate for John is : 1/6 and the hourly rate for Rick is : 1/8. What we don`t know is a hourly rate for Molly and we will call it 1 / x.
The hourly rate for all together is: 1 / 3
An equation is:
1 / 3 = 1 / x + 1 / 6 + 1 / 8
1 / 3 = 1 / x + 4 / 24 + 3 / 24
1 / 3 = 1 / x + 7 / 24
1 / x = 1 / 3 - 7 / 24
1 / x = 8 / 24 - 7 / 24
1 / x = 1 / 24
1 / 3 = 1 / 24 + 1 / 6 + 1 / 8
The hourly rate for Molly is 1 / 24. Molly can paint the room alone for 24 hours.