Answer:
1/27
Step-by-step explanation:
(1/3)^3 = (1/3)(1/3)(1/3) = 1/(3x3x3) = 1/27
I hope this helped, and if it did, please mark this as brainliest! Thanks!
<h2>
Explanation:</h2>
In this exercise, we have the following point:
Let's assume that y varies directly as x, so this implies we can writ y as the product of x and some non-zero real constant k. In a mathematical language:
As you can see, this is the equation of a line whose slope is k and passes through the origin. Therefore, the slope of the line is the constant of proportionality we are looking for:
<h2>Learn more:</h2>
Direct and indirect proportionality: brainly.com/question/10945121
#LearnWithBrainly
Answer: About 22%
This is because all of her expenses add up to $800. $175 of those are for her phone and clothes. 175/800 equals about 22 percent. Exact answer is 21.875%
<h3>
Answer: D) 18</h3>
=========================================
Work Shown:
Here are the variables we're working with
- a = first term
- b = last term (aka nth term)
- n = number of terms
- S = sum of the first n terms
In this case, we know that
- a = unknown (what we want to solve for)
- b = -12
- n = 14
- S = 42
We can use this formula to help find the answer
S = (n/2)*(a+b)
This formula only works for arithmetic sequences
So,
S = (n/2)*(a+b)
42 = (14/2)*(a+(-12))
42 = 7(a-12)
42/7 = a-12
6 = a-12
6+12 = a
18 = a
a = 18 is the first term of this arithmetic sequence
That's why the answer is choice D.
-----------
Side note: your book or your teacher may use the notation but I figured it would be easier to use 'a' and b in place of and respectively.
I believe the answer is A