Answer:
B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
2.8y + 6 + 0.2y = 5y – 14
Answer:
Step-by-step explanation:
Simplifying
2.8y + 6 + 0.2y = 5y + -14
Reorder the terms:
6 + 2.8y + 0.2y = 5y + -14
Combine like terms: 2.8y + 0.2y = 3y
6 + 3y = 5y + -14
Reorder the terms:
6 + 3y = -14 + 5y
Solving
6 + 3y = -14 + 5y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-5y' to each side of the equation.
6 + 3y + -5y = -14 + 5y + -5y
Combine like terms: 3y + -5y = -2y
6 + -2y = -14 + 5y + -5y
Combine like terms: 5y + -5y = 0
6 + -2y = -14 + 0
6 + -2y = -14
Add '-6' to each side of the equation.
6 + -6 + -2y = -14 + -6
Combine like terms: 6 + -6 = 0
0 + -2y = -14 + -6
-2y = -14 + -6
Combine like terms: -14 + -6 = -20
-2y = -20
Divide each side by '-2'.
y = 10
Simplifying
y = 10
Answer:
y= 11
Step-by-step explanation:
we have:
2.8y + 6 + 0.2y = 5y – 14
or 3y + 6 = 5y -14
and 3y + 6 - 6 = 5y -16 -6
and 3y = 5y -22
and 3y - 5y = -5y +5y -22
so -2y = -22
finally y = -22/-2
or y=11
Hope that useful for you.
Answer:
40,075 kilometers
Step-by-step explanation:
The distance around the Earth at the Equator, its circumference, is 40,075 kilometers
The rate at which the water's depth is increasing when it is 15 feet deep is approximately 0.028 feet per minute.
The subject of the student's question is related to the concept of volumes of revolution and rates of change in calculus. This is a practical application of those principles.
If we use the formula for the volume of a cone, we get: V = 1/3(pi*r²*h). Looking at our provided situation, we see that r = h/2, so we can replace r with h/2, giving us V = 1/3(pi*(h/2)²*h). This simplifies down to V = 1/12*pi*h³.
Next, differentiate the volume with respect to time (t), giving us dV/dt = 1/4*pi*h²*dh/dt. We know that dV/dt = 10 ft³/min (the rate at which water is flowing into the tank), and we want to find dh/dt when h = 15 ft.
Substitute these values into the differentiated equation to solve for dh/dt: 10 = 1/4*pi*(15)²*dh/dt therefore dh/dt = 10 / (1/4*pi*15²) which gives us approximately 0.028 ft/min.
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