The answer is:
a) 300
b) 600
c) 
d) 
e) 2400
The explanation is shown below:
1. You have that the total number of vertical feet that a climber has traveled (which you can call
), varies directly with the number of hours she has been climbing (which you can call
), and the constant of proportionality is 600 (
).
2. Keeping this on mind you can express it as following:

3. Now, substitute the values given in the table and solve for
to calculate the number of feet or solve for
to calculate the time in hours:
a) 
b) 
c) 
d) 
e) 
A circle has a general formula for area as:
A = (θ / 360°) * π * r^2
So when we are to look for the area of the circle, the θ
= 360° and the factor (θ / 360°) is simply equals to 1 and is removed from the
formula. However in this case, we are to find for the area of a portion of a
circle, specifically a sector.
It is given that the radius is 6 m and the central angle
intercepted by this sector is 3 / 4 radians. As we can see in the formula, the
angle θ is expressed in degrees, therefore we need to convert the central angle
first into degrees.
Central angle θ = (3 / 4 rad) (180° / π rad)
Central angle θ = (135/π)°
So the area of the sector is:
A sector = (135/π / 360) * π *
(6 m)^2
A sector = 13.5 m^2
Answer:
2/3
Step-by-step explanation:
If all outcomes are listed,
{P1P2, P1B1, P1B2, P2B1, P2B2, B1B2}
then 4/6 of the outcomes have different majors.
this can be simplified to 2/3.
Its a dependent variable.
in independent variable is something being changed in an experiment to test the effects on the dependent variable. the dependent variable is what is being tested.