Answer:
a) he rate of change of the volume of a snowball (due to melting) is proportional to the square of the volume at time t. Initially, the snowball has a volume of 900 cm3
and V(0) = 900
where A is a real constant, it appears because it says that the change i volume (dV/dt) is "proportional" to 
. Furthermore, we should assume that A is a negative number, because the volume of the snowball will decrease as the time pasese by.
(b) For an insect moving along some path, the velocity at time t is proportional to the square root of its position.
Here again appears a constant B for the "proportional" part. And i wrote the velocity as 
"the rate of change of the position with respect to te time".
Answer: 
Step-by-step explanation:
Pythagorean theorem: 
, where a and b are the legs and c is the hypotenuse.
We can solve for x by only using the left side of the triangle. Since we're only using the left side of the triangle, we can reduce 18 by 2 to get 9. Now we plug in our information to the equation.
Since we don't know what 
is, we're going to isolate it by subtracting 81 on both sides
We have to square root both sides in order to find out b (or x in the problem).
When you put this on a calculator it would result in which is the answer d in the problem.
Hmm, 3 shirts cost $84 all together 84 divided by 3 is 28. 28+28+28=84. Each shirt had to be $28 to equal $84 for the final price. Hope this was right!
Answer:
x = 14 units
Step-by-step explanation:
- Distance of both the chords from the center of the circle is 9 units.
- -> Both the chords are equal. (Chords equidistant from the center of the circle are equal)
- Perpendicular drawn from the center of the circle bisects the chord.
- -> Measure of one chord = 7 + 7 = 14 unit
- -> Measure of the other chord = 14 units
