Answer:
A
Step-by-step explanation:
Answer:
1.10 quarts
Step-by-step explanation:
We are given that
Capacity of system=20 quarts=
1 gallon=4 quarts
Initially mixture contains
Antifreeze=3 quarts=
Water=17 quarts=
Water runs in to the system=1gal/min
We have to find the antifreeze in the system at the end of 5 minutes.
Concentration inflow=0
Let Concentration outflow=x
Rate of system=Concentration inflow(water inflow rate)-Concentration outflow(water outflow rate)
Taking integration on both sides
Using formula
Substitute t=5
Hence, in the end of 5 minute ,the antifreeze in the system=1.10 quarts
The equation for a parabola is y = ((x - a)^2) + b. There is a shift one to the left (we’ll call that a) and one shift down (we’ll call that b) for the point (-1,-1). Shifts to the left and right are replaced with a and shifts up and down are replaced with b. y = ( x - (-1))^2 - 1. Simplify: y = (( x + 1)^2) - 1
Answer:
50inches
Step-by-step explanation:
Complete question;
The square shown(image attached) has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr a cone with a base circumference of about 25 units a cone with a base circumference of about 50 units a cylinder with a circumference of about 25 units a cylinder with a circumference of about 50 units.
The figure shown is a square
Perimeter of a square = 4L
L is the length of the side of the square
32 = 4L
L =32/4
L = 8units
Since the square is rotated about a line k forming a circular shapr, hence the radius of the circular shape is equal to the length of the side of the rotated square. Hence r = 8units
Get the circumference of the circle
C = 2πr
Substitute r = 8 into the formula
C = 2π(8)
C = 16π
C = 16(3.14)
C = 50.24in
Hence the approximate circumference of the circle is 50inches