Answer:
y +5 = -1/3(x -3)
Step-by-step explanation:
The slope of the given line is 3. The slope of the perpendicular line is the negative reciprocal of that, -1/3. Then the point-slope equation is ...
y -y1 = m(x -x1) . . . . line with slope m through point (x1, y1)
y -(-5) = -1/3(x -3)
y +5 = -1/3(x -3)
Answer:
(B)
Step-by-step explanation:
Volume of fluid in the tank =1000 gallons
Initial Amount of Salt in the tank, A(0)= 30 pounds
Incoming brine solution of concentration 2 pounds of salt per gallon is pumped in at a rate of 4 gallons per minute.
Rate In=(concentration of salt in inflow)(input rate of brine)
The resulting mixture is pumped out at the same rate, therefore:
Rate Out =(concentration of salt in outflow)(output rate of brine)
Therefore:
The rate of change of amount of salt in the tank,
Answer:
Mykel can make 2.79 x 10³² different combinations
Step-by-step explanation:
We can solve this problem using combination
The formula for combination is ⁿCₐ =
where n = total number of choices available
a = number of items being chosen
The total movies Mykel wants is 99.
Taking out the sure 66 drama movies,
Mykel is left with 99 - 66 choices = 33 choices.
The total number of choices he is left with is 66 foreign + 33 children + 44 documentaries = 143 movies
Hence, our n = 143 movies
and a = 33 choices
Hence we do, ¹⁴⁴C₃₃ = =
2.79 x 10³² combinations
∴ Mykel can make 2.79 x 10³² different combinations.