Answer:
The answer is FALSE
Step-by-step explanation:
Materials quantity variance = (SQ -AQ) * SP
= (2,000 - 1,600)* 12
$4800 Favourable
#1. Vertical
#2. Adjacent, Complementary
#3. Adjacent, Linear Pair, Supplementary
---A linear pair forms a line, which is equal to 180 degrees
#4. Adjacent
#5. Vertical, Complementary
#6. Vertical, Supplementary
---There is a 90 degree angle within this problem. If one angle is 90 degrees, then they are all 90 degrees, which makes the sum of angle 1 and 2 = 180. So, they are supplementary.
Hope this helps!
Answer:
x=-36
Step-by-step explanation:
Add the 7/2x +1/2x to be 8/2x which means that it'll be 4x=18=9/2
then subtract 9/2x on both sides so itll be

-9/2x -9/2x
because if you do 8/2-9/2 it's -1/2
then multiply the reciprocal to both sides so

which then cancels out -1/2 and makes it
x=-36
Answer:
5 or 45
Step-by-step explanation:
If the first term is "a" and the common ratio is "r", then the first three terms are ...
a, ar, ar²
Their product will be ...
a × ar × ar² = (ar)³ = 3375
ar = ∛3375 = 15
Their sum will be ...
a + ar + ar² = 65 = 15/r + 15 + 15r
Subtracting 15 and multiplying by r/5, we have the quadratic in r:
10r = 3 + 3r²
3r² -10r +3 = 0 . . . . in standard form
(3r -1)(r -3) = 0 . . . . factored
r = 1/3 . . or . . 3 . . . . values of r that make the factors zero
The first term is 15/r = 45 or 5
_____
The first three terms could be 5, 15, 45; or they could be 45, 15, 5.
Answer: The correct option is
(D) The sequence is not arithmetic because the terms do not have a common difference.
Step-by-step explanation: We are given to select the true statement regarding the sequence that is graphed in the figure.
From the graph, we see that some of the points are (1, 1), (2, 4), (3, 9), (4, 16), (5, 25).
That is, if we write the graphed points in terms of a sequence <a(n)>, then we get

The sequence <a(n)> will be arithmetic if the difference between the consecutive terms is equal. That is, the terms should have a common difference.
Now,

This implies that the terms do not have a common difference and so the graphed function does not represent an arithmetic sequence.
Thus, the sequence is not arithmetic because the terms do not have a common difference.
Option (D) is CORRECT.