Answer:
5, 8, 11, 14, 17,....
f(n) = 5+3n where n is the number of steps after the first two. 7 steps is 20 faces.
Step-by-step explanation:
A sequence is a list of numbers that are related. The first number in the sequence is 5 since the first part of the stairs has 5 faces (5 squares, the dark don't count). Every time you add a "stair" you add 2 blocks - one underneath to support and one as the step. This adds 3 faces. So 5 becomes 8. Repeat and 8 becomes 11. You add 3 faces each time. So the sequence is
5, 8, 11, 14, 17,....
This is a constant pattern of adding 3 each time after the initial start. So we can write a rule. We start with 5 + 3(each stair step). So if the cube is 7 stairs high, that is 5 more repetitions of adding blocks after the start (remember the start has 2 steps already). So 5 + 3(5) = 20. 7 steps high will have 20 faces.
Answer:
3/4 cups
Step-by-step explanation:
10 people = 1 1/2 cups
Changing to a mixed number
10 people = 3/2 cups
Divide by 2
10/2 people = 3/2*1/2
5 people = 3/4 cups
Answer:
$4.86
Step-by-step explanation:
The package of cheese that cost $2.97 has 11 slices. To know how much each slice costs, we need to divide $2.97 by 11.
That is $2.97/11 = $0.27 per slice
Now we need to calculate how much would cost a package of 18 slices with the same price per slice.
As we now know that each slice costs $0.27, we just need to multiply 18 by $0.27 to know the total price.
That is 18*$0.27 = $4.86
A package with 18 slices would cost $4.86.
None of your answers above will answer the question. The proper value for x = 1/2 is 7/4. The work for this is below.
f(x) = 3x^2 + 1
f(1/2) = 3(1/2)^2 + 1
f(1/2) = 3(1/4) + 1
f(1/2) = 3/4 + 1
f(1/2) = 7/4
I assume you may have missed something in typing, but 7/4 would be your answer.
