Answer:
√g *√g = g
Step-by-step explanation:
recall that any number or variable to the power of 1/2 can also be written as that variable or number under the radical.
So, we then have
√g * √g
Recall that when we multiply radicals, we multiply what is under our radicals together and then combine them under a new radical
√g * √g = √(g * g)
This gives us √(g²)
recall that the square root of a number or variable squared will merely result in the number or variable by itself (as these are reciprocate equations)
√(g²) = g
In terms of its radius
, the volume of the balloon is

The diameter
is twice the radius, so that in terms of its diameters, the balloon's volume is given by

Differentiate both sides with respect to time
:

The diameter increases at a rate of
. When the diameter is
, we have

or about 23,562 cc/min (where cc = cubic centimeters)
Answer:
45 mins
Step-by-step explanation:
Estimated time it would take to visit with each client = fraction of time required for one client x 60 minutes
3/4 x 60 = 45 minutes
time it would take to visit with 7 clients = 7 x 45 minutes = 5hours 25 mins
Start by identifying your x1, x2, y1, and y2 values
x1: -2
x2: 9
y1: -20
y2: 79
The general form for writing a point slope equation is y-y1 = m(x-x1)
M is your slope.
To find the slope, plug the values you just identified into the equation y2-y1/x2-x1
This leaves you with 79+20/9+2
Which equals 9, so your slope (m) equals nine.
you can now plug everything into the general form which gives you:
y+20 = 9(x+2)