Answer:
16.
Step-by-step explanation:
The whole numbers stay the same so it stays as 2. The way they get 30 for the denominator is by multiplying the fraction 1/3 by 10 and 1/5 by 6. So now we have 10/30 and 6/30. Add them together, 10+6=16
This is a geometric sequence because each term is twice the value of the previous term. So this is what would be called the common ratio, which in this case is 2. Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a(n)=nth value, a=initial value, r=common ratio, n=term number
In this case we have r=2 and a=1 so
a(n)=2^(n-1) so on the sixth week he will run:
a(6)=2^5=32
He will run 32 blocks by the end of the sixth week.
Now if you wanted to know the total amount he runs in the six weeks, you need the sum of the terms and the sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r) where the variables have the same values so
s(n)=(1-2^n)/(1-2)
s(n)=2^n-1 so
s(6)=2^6-1
s(6)=64-1
s(6)=63 blocks
So he would run a total of 63 blocks in the six weeks.
the answer would be 6 planes
I’m pretty sure the correct answer is B.
We will be using the formula: Speed = Wavelength * Frequency
1. <u>Given:</u> Wavelength = 5 m and Frequency = 2 Hz
Speed of the wave = Wavelength * Frequency
Speed of the wave = 5 * 2
Speed of the wave = 10 m/s
__________________________________________________________
2. <u>Given:</u> Speed of the wave = 100 m/s and Frequency= 1000 Hz
Wavelength = Speed / Frequency
Wavelength = 100 / 1000
Wavelength = 0.1 m
__________________________________________________________
3. <u>Given:</u> Speed of the Wave = 25 m/s Wavelength = 5 m
Frequency = Speed / Wavelength
Frequency = 25 / 5
Frequency = 5 Hz
