Answer:
0.22m
Step-by-step explanation:
0.22361m
Answer:
A. (4,1)
Step-by-step explanation:
2x -5y = 3
x -3y = 1
Change the equation to isolate a variable so you can substitute it in the other one.
x = 1+3y so
2(1+3y) -5y = 3
2 + 6y -5y =3
2 + y = 3
y=1
Back to the easy equation we isolated
x = 1+3(1)
x= 4
(4,1) is a point where x=4 and y=1
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One line passes through the points \blueD{(-3,-1)}(−3,−1)start color #11accd, (, minus, 3, comma, minus, 1, ), end color #11accd
mart [117]
Answer:
The lines are perpendicular
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are the same
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
Remember that
The formula to calculate the slope between two points is equal to
<em>Find the slope of the first line</em>
we have the points
(-3,-1) and (1,-9)
substitute in the formula
<em>Find the slope of the second line</em>
we have the points
(1,4) and (5,6)
substitute in the formula
Simplify
<em>Compare the slopes</em>
Find out the product

therefore
The lines are perpendicular
Answer:
193.586 deaths per 100,000
Step-by-step explanation:
The cause-specific mortality rate for a disease in a per 100,000 basis is determined as the total number of deaths due to the disease multiplied by 100,000 and divided by the average (mid-year) total population.
There were 597,689 deaths due to diseases of the heart in a population of 308,745,538 people. The cause-specific mortality rate for diseases of the heart per 100,000 in this population is:

The mortality rate is 193.586 deaths per 100,000.
Answer:
4
Step-by-step explanation:
This is an <em>infinite geometric series</em>. This has a sum of 
Where
a is the first term, and
r is the common ratio (one term divided by the previous term)
Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.
<u />
<u>First term:</u>

<u>Second term:</u>

<em>Let's see the common ratio:
</em>
<em />
<em>Thus we have a = 3 and r = 1/4</em><em>. Plugging into the formula of the infinite sum, we get:</em>
<em>
</em>
<em />
<em>So, </em><em>the answer is 4</em>