Answer:

Step-by-step explanation:
The formula for nth term of a the sequence is given as 
<u>Finding the 10th term means finding
, which means to plug in 10 into n, in the nth term formula.</u>

Answer:
y = 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 5 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
y = 3x + c ← is the partial equation of the parallel line
To find c substitute (1, 2) into the partial equation
2 = 3 + c ⇒ c = 2 - 3 = - 1
y = 3x - 1 ← equation of parallel line
Answer:

Step-by-step explanation:
The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.
This sequence is arithmetic if:

We have that:




This is not an arithmetic sequence.
This sequence is geometric if:




This is a geometric sequence, in which:
The first term is 40, so 
The common ratio is
, so
.
We have that:

The 10th term is
. So:



Simplifying by 4, we have:

Answer: 240 people get the news from social media
Step-by-step explanation:
The ratio of the number of people who get their news from social media to the number of people who their news elsewhere is 3:7
Total ratio is the sum of the proportion of those that get their news from social media and those that got their news elsewhere.
It becomes 3+7 = 10
Total number of people in the town is 800
To determine the number of people that got their news from social media, we will divide the proportion of those that get their news from social media by the total ratio and multiply by the total number of people in the town. It becomes
3/10 × 800 = 240
205.2 square feet
Convert 90% to a decimal. You get .9 Multiply 228 by .9 to find what 90% of 228 is. You should get 205.2.