There are a couple of ways to think about this.
1) Weight the speed by the time and compute the weighted average.
(60*2.5 + 75*1.5)/(2.5 + 1.5) = 65.625
Her average rate of speed is 65.625 mph.
2) Consider distance and time.
distance = speed * time
distance₁ = speed₁ * time₁
distance₂ = speed₂ * time₂
total distance = distance₁ + distance₂
total time = time₁ + time₂
And the average speed is given by
average speed = (total distance)/(total time)
Using the above formulas, we have
distance₁ = 60 mi/h * 2.5 h = 150 mi
distance₂ = 75 mi/h * 1.5 h = 112.5 mi
total distance = 150 mi + 112.5 mi = 262.5 mi
total time = 2.5 h + 1.5 h = 4.0 h
average speed = (262.5 mi) / (4.0 h) = 65.625 mi/h
Bette's average rate of speed is 65.625 mph.
Answer:
Root at -4 with multiplicity of 2
Root at 2 with multiplicity of 1
Step-by-step explanation:
You don't actually need to factor this, you can just use Vieta's formulas and deduce the answer by looking at the options.
It states that the product of the roots is equal to the constant over the coefficient of the highest degree term; in this case, it is 16/1=16.
If you take the product of the roots of each answer, you get (from top to bottom) 16, 4, -16, and -4, which means that only the first answer is correct.
Lets take this problem as 25/8 - 15/8. This is both the fractions in improper form. Subtract 25 and 15 and divide the answer by 8 so 10 divided by 8 which is equal to 1 1/4
Answer:
a) Sinusoidal functions are y = a sin [b(x-h)] + k (or)
y = a cos [b(x-h)] + k
Where a is amplitude a= (max-min)/2=(16-2)/2=7
period p= 2π/b
b=2π/30
Horizontal transformation to 10 units right h=10
k= (max+min)/2=(16+2)/2=9
h = 7 cos [π/15(t-10)]+ 9
b) t=10min=600 sec
substitue in the above equation
h=5.5m
Greetings!
(There are 3785.41 mL in a gallon.)
There are 60 seconds in minute. Therefore, if we divided the gallon per minute by 60, we can get the answer.
105/60
=1.75 gallon per second
1.75*3785.41
=<span>6624.4675 mL per second
Hope this helps.
-Benjamin
</span>
