Answer:
128 , 512, 2048
Step-by-step explanation:
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)
If triangle MAS ≅ triangle TAR, the statement that could be false is letter <span>B) segment MA ≅ segment SA.
This can be false because these two congruent triangles can be 2 scalene triangles. So, segment M</span>A can never be equal to segment SA. This can be true though, if and only if these triangles are isosceles triangles where 2 sides are equal. (See attached file to fully understand).
<span>A. 0.1
The residual is the difference between the observed value and the predicted value for a data point. You obtain it by subtracting the predicted value from the observed value. So the predicted value is:
y = -0.2x + 1.9
y = -0.2*5 + 1.9
y = -1 + 1.9
y = 0.9
Therefore the residual is:
r = 1 - 0.9
r = 0.1
And the value of 0.1 matches option "A".</span>