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:
x = 8
Step-by-step explanation:
We solve the equation:
4x + 6 = 38
4x = 38 - 6
4x = 32
x = 32 ÷ 4
x = 8
The method to use is Combination
<h3>What is combination?</h3>
Combination is a way or method of selecting items from a collection without a defined order or manner.
The formula for finding Combination is given as;
Combination = n!/ r!(n -r)!
n = 135
r = 2
Combination = 135!/ 2!(135 - 2)!
Thus, the method to use is Combination
Learn more about combination here:
brainly.com/question/11732255
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3.4(x+1.58)= - 11.288
Step 1: Distribute 3.4 to the numbers inside the parentheses (x+1.58)
3.4x + (3.4×1.58)= - 11.288
3.4x + 5.372 = -11.288
Step 2: Bring 5.372 to the right side by subtracting it to both sides
3.4x + (5.372 - 5.372 ) = (-11.288 - 5.372)
3.4x + (0) = (-16.66)
3.4x = -16.66
Step 3: Isolate x by dividing 3.4 to both sides

x = -4.9
Hope this helped!
step 1
convert miles to km
1 mile is-----> 1.60934 km
18.5 miles/hour-----> 18.5*1.60934=29.77 km/hour
step 2
convert km/hour to km/minutes
29.77 km/hour--------> 29.77/60----> 0.4962 km/minutes
step 3
by proportion
0.4962 km/1 minutes=125 km/x minutes
0.4962 km----------> 1 minute
125 km-------------> x
x=125/0.4962----> x=251.91 minutes---------> x=251.9 minutes
the answer is
251.9 minutes
Alternative Method
step 1
convert km to miles
1 km is-----> 0.621371 miles
125 km-----> 125*0.621371--->77.67 miles
step 2
convert miles/hour to miles/minutes
18.5 km/hour--------> 18.5/60----> 0.3083 miles/minutes
step 3
by proportion
0.3083 miles/1 minutes=77.67 miles/x minutes
0.3083 miles----------> 1 minute
77.67 miles-------------> x
x=77.67/0.3083----> x=251.9 minutes