Answer:
Step-by-step explanation:
Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.
Let Q(t) be the quantity of salt at time t.
Q(0) = 70 pounds
Inflow of water = outflow = 4 gal/min
So resulting volume of tank at time t = 400 gallons
Rate of change of salt = inflow - outflow
= 0 - 
i.e. 
This is a variable separable equation
Use when t =0 Q = 70
A =70
So A(t) = Q(t) = 
and
A(0) = Q(0) = 70 lbs.
Answer:
2a + 3b = 5
b = a - 5
Step-by-step explanation:
2a + 3b = 5
b = a - 5
You can write this another way:
2a + 3(a-5) = 5 ( I added the second formula in the first one )
Now you gotta factor out:
2a + 3a - 15 = 5
Here im gonna do plus 15
2a + 3a = 20 ==> 5a = 20
Now if you divide by 5, you get: a = 4
Now you can fill in the second formula again
b = a - 5 (ill fill this in now)
b = 4 - 5 = -1
So, this makes:
a = 4 , b = -1
90 degree
or right angle
Hope this helps <span />
Answer:
c
Step-by-step explanation:
an exponential function of the form
y = a
to find a and b use ordered pairs from the table
using (0, 0.5 ) , then
0.5 = a
[ = 1 ] , then
a = 0.5
so y = 0.5
using (1, 2 ) , then
2 = 0.5
= 0.5b ( divide both sides by 0.5 )
4 = b
then exponential function represented by the table is
y = 0.5 
I hope this helps you
Circumference =2.pi.r
60=2.3,14.r
r=30/3,14
Arc Length = 140/360.2.3,14.30/3,14
Arc Length =70/3
