Answer:
the required differential equation is dA/dt - 
= 6
A(0) = 50lb
Step-by-step explanation:
Given the data in the question;
A(t) is the mass of the salt in in the tank at time t
the new volume of the solution in the tank increases by one gallon each minute
so
dA/dt = ( Rate in) - ( Rate out)
dA/dt = ( 3 gal/min × 2 lb/gal ) - ( 2 gal/min × 
lb/gal )
dA/dt = 6 -
dA/dt - = 6
A(0) = 50lb
Therefore, the required differential equation is dA/dt - = 6
A(0) = 50lb
Answer:
- 9 students : 1 table
- 87 pebbles per aquarium
- 10 slices for each child
Step-by-step explanation:
A "unit" rate is one that has a denominator of 1 unit.
12 apples : 3 baskets has a denominator of 3, so is not a unit rate. It could be made into a unit rate of 4 apples : 1 basket by dividing the numbers by 3.
Similarly, $5 for 4 muffins has a denominator of 4, so is not a unit rate. The equivalent unit rate is ($5/4) per muffin, or $1.25 per muffin.
All of the other offered choices are unit rates. (See list above.)
Answer:
After 20 years 18.75 gm of sample will remain.
Step-by-step explanation:
Heidi... if you use a proportion you can find this answer
Cavalieri's Principle states that the volume of an oblique cylinder is equal to the product of the area of the base and the height. Mathematically, this can be expressed as,
volume = Bh
V = (πD²/4)h
where D is diameter and h is the height. Substituting the known values from the given above,
486 cm³ =((π)(9 cm)²/4) x h
The value of h from the generated equation is equal to 7.64 cm. Thus, the height of the oblique cylinder is approximately 7.64 cm.
