Answer: The temperature decreased by 22 degrees
Explanation: 37 + 14 is equal to 51. So take 51 and subtract 29 from it since the weather decreased and you get 22 as your answer :)
Answer:
A. 1/5
1/5 in fraction form
or
0.2 in decimal form
Step-by-step explanation:
slope (m)= 1/5 = 0.2
the points belong to an increasing linear function
equation: y=0.2x+6.8
we know that
The formula to calculate the slope between two points is equal to

we have

Step 1
<u>Find the slope GH</u>

substitute in the formula



Step 2
<u>Find the slope HJ</u>

substitute in the formula



Step 3
<u>Find the slope JG</u>

substitute in the formula



Step 4
Verify if triangle GHJ is a right triangle
we know that
if two lines are perpendicular, then the product of their slopes is equal to minus one
so

compare slope GH with slope JG
we have


-----> side GH and side JG are perpendicular
The triangle GHJ is a right triangle
The answer in the attached figure
Answer:
C. The sequence is monotonic and bounded. The limit is 5/9
Step-by-step explanation:
For this case we have the following n term:

And we can find the limit when x tend to infinity:

And we got this:

Now we can divide by n the numerator and denominator like this:

And now we can apply properties of limits and we got this:

And we got:

So then our sequence is bounded by 
By definition a monotonic sequence is a "sequence that is always increasing or decreasing".
For this case if we find:


We see that
and in general we see that
. So then the ebst answer for this case is:
C. The sequence is monotonic and bounded. The limit is 5/9
Answer:
You need to find 84% of 4200 to get the amount of students. First change the percent to a decimal, and multiply 0.84 x 4200.
There were 3528 total students at the theater.