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".
Triangles ABC and A'B'C are similar. This means that the corresponding sides are in the same ratio, in this case:
Replacing with data:
Answer:
2^40.
Step-by-step explanation:
(4^4)^5
= 4^(4*5)
= 4^20
= (2^2)^20
= 2^40.
Answer:
1 pound of avocado costs $1.8.
Step-by-step explanation:
This problem is just a simple division problem. We jest need to divide the given values to get the answer. For our problem, to know the price of 1 pound of avocado, we need to divide the $9 by 5 since the problem stated that the price of 5 pounds of avocados is $9.
Given:
5 pounds avocados = $9
Required:
cost of 1 pound of avocado
Solution:
$9 / 5 pounds = $1.8/pound
1 pound avocado = $1.8
Notice from the first line of solution, the unit became $ per pound. This means that we did the right operation since we are looking for the price per pound.
To check if we computed for the correct value, we should multiply $1.8 to 5. If the answer from doing this is $9, then our answer is correct.
Checking:
$1.8 * 5 = $9
Therefore, the cost of 1 pound of avocado is $1.8
Step-by-step explanation:
