R=rate of boat in still water
c=rate of current
d=rt
since you're given that the time it takes to travel the same distance downstream and upstream, your equation will be d_1=d_2, or rt=rt
the rate upstream is r-c and the rate downstream is r+c (because the boat's and river's rates add up)
since you know t_1 and t_1 are 5 and 3, you can now set up 2 equations
<u>5*(r-c)=45</u> because (time upstream)*(rate upstream)=distance=45 miles
r-c=45/5=9
<u>3*(r+c)=45</u>
r+c=45/3=15
r-c=9 and r+c=15, so r=12 mi/h and c=3 mi/h
If you have any questions please ask
Answer:
Its Choice c.
Step-by-step explanation:
a = 60 degrees ( because of the arc = 60 degrees).
b = 1/2 * 60 = 30 degrees.
The answer is 20 since 1/5 of 20 is 4, and 20 + 4 = 24.
Answer:
x^2 -12x+35
Step-by-step explanation:
(x−5)(x−7)
FOIL
first x*x = x^2
outer -7x
inner -5x
last -7*-5 = 35
Add them together
x^2 -7x-5x +35
x^2 -12x+35
Answer:
51% of the variation in Y is not explained by the regression line.
Step-by-step explanation:
To find the amount of variation not explained by the regression equation (how you found the correlation coefficient), we need to find <em>R. </em>We already have r ...
So to find R from r ( the correlation coefficient ) we just square it.
r² = .7² = .49
Then we just subtract that number from 1 to get the amount of <em>variation that is </em>not explained - which is ... .49 - 1 = .51 (convert to percent) = 51%