Answer:
The first 4 terms of the sequence are: 3, 9, 81, 6561
Step-by-step explanation:
We are given the following recursive function:
And the following initial condition:
The second term of the sequence is:
The third term of the sequence is:
The fourth term of the sequence is:
The first 4 terms of the sequence are: 3, 9, 81, 6561
Answer:
Step-by-step explanation:
It would be C or 32 minutes.
I think hope this helps
Answer:
Y= -1/3x +2.5
step-by-step explanation:
first I reconfigured the given equation: x+3y=15
-x+x+3y=15 -x Subtracted x from both sides
3y=15-x Simplify
3y/3=15-x/3 Divide both sides by 3
y=-1/3x+3 Simplify
I turned it into y=-1/3x+5
then I translated the line up and down to find what point crossed (6,1)
The proper value for B in y=mx+b was 2.5
Try using Desmos online calculator it really helps
Hope this helped :)
Answer:
We take v in the vector space V different from 0. Since v is not 0, then
Lets take k>0 such that
Now, we take any vector w. We want to show that .
Since v is any non-zero vector, then this will prove that for any vectors a,b. The reason is that for any vector different from 0, lets name it x, there will exist a constant such that for any y (this is for the same reason a constant exists for v). Since y can be anything, then it can be v. But that means that , because v also has its constant k.
Now, lets show that . Lets take a constant c such that . We have that
Thus
Which means that
Which means that . As a consequence
Which proves what we were looking for.
Well we know that:
Volume = l×w×h
so that means:
40 = l×w×h
Well if the length is doubled that means
New Volume = 2l×w×h or
New Volume = 2×l×w×h
Well since we know from our original equation that 40 = l×w×h, we can substitute it into this new volume equation
New Volume = 2×l×w×h
New Volume = 2×(40)
New volume = 80 cm³