Answer:
1.8
Step-by-step explanation:
In
order to solve for a nth term in an arithmetic sequence, we use the formula
written as:<span>
an = a1 + (n-1)d
where an is the nth term, a1 is the first value
in the sequence, n is the term position and d is the common difference.
First, we need to calculate for d from the given
values above.
<span>a3 = 20.5 and a8 = 13
</span>
an = a1 + (n-1)d
20.5 = a1 + (3-1)d
</span>an = a1 + (n-1)d
13 = a1 + (8-1)d
<span>
a1 = 23.5
d = -1.5
The 11th term is calculated as follows:
a11 = a1 + (n-1)d
a11= 23.5 + (11-1)(-1.5)
a11 =
8.5</span>
Answer:
1. 1/4 because rectangle B takes up 1/2 of the space and the two triangles together take up 1/4.
2. 1/2, because it is twice as big as C, which takes up 1/4 of the space.
3. 1/8, because both A and D together take up 1/4 of the space, and they are both the same size
4. 1/3, because the triangles around it each take up 1/6 of the space
5. 1/6, because it is half as large as square J, which takes up 1/3 of the space
Step-by-step explanation:
(hope this helps!)
Answer:
Option (2)
Step-by-step explanation:
Given function is,
9y - 6 = 3x
y = 
To find the inverse of the given function,
1). Substitute x in place of y and y in place of x.
x = 
2). Now we have to solve this equation for the value of y.
9x = 3y + 6
3y = 9x - 6
y = (3x - 2)
Therefore, inverse of the given function is y = (3x - 2)
Option (2) will be the answer.
Answer:
0.318
Step-by-step explanation:
