Hey there!
We want to multiply a certain quantity by 2, so we will put the two outside of parentheses and put our variable (x) minus two inside the parentheses to represent this. This will all equal two.
2(x-6)=2
The unknown number is also 7.
I hope that this helps!
This written as an expression is 7 >= w > -1
Hope this helps!
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.
9. You shouldn't agree, because they are equal to one another.
10. 84 cents plus 61 should be $1.45 because 84 + 61 is 145 and 100 cents equals 1 dollar, and then you have 45 left over.
100 - .63 is .37 because the whole painting is equal to 1, or .1, or in this case I used it as 100. The drawing is up to you, but you can just draw a canvas and shade in a little bit more than half but not the full canvas. .37 of the canvas is left.
Answer:
a = ln(60)
Step-by-step explanation:
