Answer: 4 feet.
Step-by-step explanation:
Their is one rectangular prison divided into two.
The volume of the first one is
V1= L X H X W=80.
Volume of the second one is
V2= L X H X W
V2= 6 X H X 5
V2 = 30H
Now from the question, the total volume is 200cubic feet which means V1 + V2 = 200, recall that V1=80 and V2=30H, so we say;
80+30H=200, collecting the like term we have, 30H=200-80.
30H=120, divide both side by 30
30H/30=120/30
H= 4feet.
Height is 4feet.
Recurrence functions are used to preedict the subsequent value in a sequence. The fourth term of the sequence based on the recurrence relation is 25
<h3>How to find the recurrence relation of a function?</h3>
Given the recurrence relations according to the question
s(1) = 2 and
s(2)=3
s(k) =s(k-1)+2s(k-2)+6
If s(1) = 2, hence;
s(3) =s(3-1)+2s(3-2)+6
s(3) = s2 + 2s1 + 6
s(3) = 3 + 2(2) + 6
s(3) = 13
Determine the fourth term:
s(4) =s(4-1)+2s(4-2)+6
s(4) = s3 + 2s2 + 6
s(4) = 13 + 2(3) + 6
s(4) = 25
Hence the fourth term of the sequence based on the recurrence relation is 25
Learn more on recurrence relation here: brainly.com/question/10636530
This is just a reflection. Not sure what your question is so I’ll just explain reflections. Reflections are flipping a shape across that certain line. Here, it is the X axis. What I usually do is see how far away each point is away from the (line of reflection) x axis. For example, G is 5 points away from the x axis, so the reflection of G is also 5 points away from the x axis. This works with any point of the shape. Hope this helped!
You multiply 523x12 by writing it out. 523x12 is equal too 6,276
<span>f(x) = 2(0.75)^x
at x = 3
>> </span>f(3) = 2(0.75)^3
>> f(3) = <u>0.84375</u>
