What is the value of the 12th term in the sequence 4, 12, 36, 108, ...?
1 answer:
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Answer:
1)
2)
3)
Step-by-step explanation:
To write logs of the form in their exponential form, you take the base b and put it to the power of x and then set that equal to a:
.
1. Here, b = 5, a = 25, and x = 2, so:
2. In this problem, b = 5, x = 2, and a = x, so:
3. Finally, here, b = b, a = 64, and x = 3, so:
Hope this helps!
Answer:
Austin will have to buy 180 squares of carpeting.
Step-by-step explanation:
First find the dimension of the room. We do that by multiplying the width times the length and then subtracting the cut out region in the top right. And, in order to know how big that region we cut out is, we have to do a little subtraction.
We know the room is 18' long on the left side and 12' long on the right side. We subtract 12 from 18 to get 6, and we know that the cut out region is 6' long. We do the same thing with the width, 25' wide at the bottom minus 10' wide at the top and we see that the cut out is 15' wide.
18 x 25 = 450
6 x 15 = 90
450 - 90 = 360. The area of the room is 360
Each piece of carpet is 2' by 1'. So for every 2' long, the piece of carpet is 1' wide. Each carpet piece will cover 2 . Divide 360 by 2 and you get 180.