Answer:
Check photo below.
Step-by-step explanation:
Answer:
-338
Step-by-step explanation:
So we have the sequence:
5, -2, -9, -16...
First, note that this is an arithmetic sequence.
This is because each individual term is the previous term <em>added</em> by a common difference.
We can see that this common difference is -7, because each subsequent term is 7 <em>less</em> than the previous one. For example, 5 minus 7 is -2, -2 minus 7 is -9, and so on.
So, to find the 50th term, we can write an explicit formula for our sequence.
The standard form for the explicit formula for an arithmetic sequence is:

Where a is the initial term, d is the common difference, and n is the nth term.
We can see that our initial term a is 5. And we also already determined that the common difference d is -7. So, substitute:

Now, to find the 50th term, all we have to do is to substitute 50 for n. So:

Subtract within the parentheses:

Multiply:

Subtract:

So, the 50th term is -338.
And we're done!
Answer:
About 6 words per second
Step-by-step explanation:
You have to divide 373 words by 60 seconds giving you 6.21666667 which you then have to round down to 6 words per second.
Answer:
Y=2
X=5
Step-by-step explanation:
I solved it step by step in picture. U can have a look.
Answer:
77.74 square feet
Step-by-step explanation:
1. We have to keep the triangle and the rectangle apart and find the area of each separately then add the areas together.
The formula for the area of a rectangle is height x width = area
So, 6.5 feet x 10.4 feet = 67.6 feet squared
The formula for the area of a triangle is height x width x (1/2) = area
So, 5.2 feet x 3.9 feet x (1/2) = 10.14 feet squared
Now, add the two areas together.
10.14 square feet + 67.6 square feet = 77.74 square feet