The initial temperature difference of 101-45 = 56 degees declined to 101-55 = 46 degrees in 8 minutes, We can write the exponential equation for the soda's temperature as
... T = 101 -56(46/56)^(t/8) . . . . where t is in minutes
After an additional 10 minutes, we have t=18, so the soda temperature will be
... T = 101 -56(46/56)^(18/8) ≈ 65.0 . . . degrees
Both of the missing angles are 45*.
Hope I helped. :)
The perpendicular line would have a slope of 1/3.
Perpendicular lines have opposite and reciprocal slopes. So first we have to find the slope of the original line. We can do this by solving the equation for y.
5x - 9y = 1
-9y = -5x + 1
y = 5/9x - 1/9
To do the opposite, take the original slope (5/9) and change the sign (-5/9).
To do the reciprocal, take the slope we changed (-5/9) and flip it as a fraction (-9/5).
This gives us a new slope of
A.
miles per gallon
given
450 miles on 10 gallons
450/10=45/1=45mi/1gal
45mpg
the milage is 45 miles per gallon
b.
60 gallons?
45 miles per gallon times 60 gallons=2700 miles
can travel 2700 miles with 45 gallons
Answer:
p=-30
Step-by-step explanation:
p+12=-18
subtract 12 on both sides and you get p=-30
Hope this helps!!