Answer:
The water level is dropping at a rate of 0.24 ft/s
Step-by-step explanation:
Here, we simply want to calculate the change in depth (height of the cone) , given the volume change
Mathematically, we have the volume of a cone as;
V = 1/3 * π * r^2 * h
we are given dv/dt as 12 ft^3/m
dv/dh = 1/3 * π * r^2
Substituting the value for the radius, we have
dv/dh = 1/3 * 22/7 * 4^2 = 50.29
dh/dt = dh/dv * dv/dt
dh/dv = 1/(dv/dh) = 1/50.29
Thus,
dh/dt = 1/50.29 * 12
dh/dt = 0.24 ft/s
Answer:
its complemtary
Step-by-step explanation:
check this photo
Divisor is -4
Use coefficients 1 12 38 26
Bring down 1 multiply by -4 and add to 12 =8
Multiply 8 by -4 and add to 38 = 6
Multiply 6 by -4 and add to 26 = 2 which is the remainder
looks like 1 12 38 26
-4 -32 -24
________________
1 8 6 R 2
so answer A of x squared + 8x + 6 +R2 is correct
<h3>
Answer: $580.38 (Choice B)</h3>
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Work Shown:
A = P*(1+r/n)^(n*t)
A = 500*(1+0.05/4)^(4*3)
A = 580.3772588615
A = 580.38
Answer:
1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.
The function of the construction crew is an illustration of a linear function
The value of f(3) is 1900, and f(3) represents the total number of square feet paved after working for 3 hours
The function is given as:
To calculate f(3), we substitute 3 for x
Multiply 300 and 3
Add 900 and 1000
This means that the value of f(3) is 1900.
And it represents the total number of square feet paved after working for 3 hours
1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.
