Answer:
1) Is the pattern an arithmetic sequence?
Yes it is
2)Identify a and d.
a = First term = 2
d = Common difference = 2
3) Write the 50th term of the sequence.
50th term = 100
4) Find the total number of logs in the first 10 rows.
= 1010 logs
Step-by-step explanation:
Is the pattern an arithmetic sequence?
Yes it is
2) Identify a and d.
A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on,
The formula for arithmetic sequence =
an = a+ (n - 1)d
a = First term
d = Common difference
For the above question:
a = 2
d = Second term - First term
= 4 - 2
d = 2
3) Write the 50th term of the sequence.
Using the formula for arithmetic sequence
an = a+ (n - 1)d
a = 2
n = 50
d = 2
a50 = 2 + (50 - 1)2
= 2 + (49)2
= 2 + 98
= 100
The 50th term = 100
4)Find the total number of logs in the first 10 rows.
Sum of first n terms = n/2(a + l)
n = 10
a = first term = 2
We are told that there are 200 logs in the bottom row, hence:
l = last term = 200 logs
Hence,
Sn = 10/2×[ (2 + 200
= 5(202)
= 1010 logs
Answer:
Step-by-step explanation:
Ill try to break this down, simply:
When we talk about percentages we are talking about how much part of something we have and the percent sign is a just a symbol representing that.
Lets say we have 2 out of 10 apples and we need to convert this to a percentage
First think about how many apples we have in total... and that would be 10, and then how many apples we currently have being 2:
So if we put the part that we have over the whole thing we get:
So now lets turn this into a decimal, when its something over 10 its really easy, all we have to do is move the decimal back one place!
So we have 2 and if we move the decimal back one place we get .2 or 0.2
Now we have our decimal, to convert this into a percentage all we have to do is multiply our decimal by 100
So:
0.2 x 100 = 20%
All you do when you multiply by 100 is move the decimal back over 2 places one place for each zero so:
0.2 --> 2. --> 20.
Which gives us again 20%
Answer: 336g.
Step-by-step explanation:
the formula for density is mass divided by volume (m/v). In this problem, you mus first find the volume of the square block. The formula for volume is length multiplied by width multiplied by height (LxWxH). To solve for volume you plug in the values to the equation: 6x4x2 = 48.
Now, you have the volume, and you have the density. Now you need to solve for mass. Plug in the values you have into the density equation (d=m/v):
7=m/48
to isolate M, multiply each side by 48. this leaves you with 7x48 = m. now all thats left is to solve. 7x48 = 336g. You can double check by plugging the values back into the equation. 336/48 = 7.
the x and y values makes both equations true
Explanation
a linear system is the set of 2 linear equations.
Step 1
the solution to a linear system is the coordiante where the line intersect, this coordiante satisfies both equations, then
the x and y values makes both equations true
Answer:
Surface Area = 165.06 inches 2
Step-by-step explanation:
5.1 in.
3 in.
8.3 in.
Surface Area = 2×(5.1×3 + 5.1×8.3 + 3×8.3)
= 165.06 inches 2
