(40x/64y)/(5x/8y)
(40x/64y)(8y/5x)
320xy/(320xy)
1
Answer with Step-by-step explanation:
Let speed of one car=x miles/h
Speed of second car=x+8 mi/h
Time,t=2 hours
Distance between two cars=208 miles
We have to find the average speed for each car for 2-hour trip.
Distance=
Distance traveled by one car=2x
Distance traveled by second car=2(x+8)
According to question





Speed of one car=48mph
Speed of second car=48+8=56mph
Answer:
Erica's vertical distance from the top of the valley (in kilometers) after walking 2 kilometers along the trail is T.
Step-by-step explanation:
It is given that V(d) models Erica's vertical distance from the top of the valley (in kilometers) after walking d kilometers along the trail.
We need to find the meaning of V(2)=T.
On comparing V(d) and V(2), we get d=2.
Since V(d) models Erica's vertical distance from the top of the valley (in kilometers) after walking d kilometers along the trail, therefore V(2) models Erica's vertical distance from the top of the valley (in kilometers) after walking 2 kilometers along the trail.

It means Erica's vertical distance from the top of the valley (in kilometers) after walking 2 kilometers along the trail is T.
Answer:
D; 5pi/3 units
Step-by-step explanation:
Here, we want to find the period of the function;
y = 3/2 cot (3/5x) + 5
By definition, the period of a function is the interval between two matching points in the function.
Let’s say it is the distance between two peaks, crests, etc on a function.
To find the value of the period. We shall standardize the function.
What this means is that we shall be writing the function in the standard form.
The standard form is as follows;
f(x) = A trig(Bx -C) + D
Where trig refers to the accompanying trigonometric function in question.
Comparing this standard form with our question, we can see that;
A is 3/2
B is 3/5
C is 0
D is 5
Now for cot and tan functions, we shall need to divide pi by the absolute value of B
Thus we have; pi divided by 3/5 which gives 5pi/3 units
Answer:
Bottom 7%: L= 6.04 cm
Top 7%: L= 6.22 cm
Step-by-step explanation:
Mean length of the population (μ) = 6.13 cm
Standard deviation (σ) = 0.06 cm
The z-score for any given length 'X' is:

What we want to know is the length at the 7-th percentile and at the 93-rd percentile.
According to a z-score table, the 7-th percentile has a correspondent z-score of -1.476 and the 93-rd percentile has a z-score of 1.476. Therefore, the bottom 7% and top 7% are separated by the following lengths:

Bottom 7%: L= 6.04 cm.
Top 7%: L= 6.22 cm.