The equation for volume of a sphere is:
Volume = 4/3 * PI * r^3
r is the radius = 1 inch
Volume is given as 4 cubic inches per second increase.
Given: dv/dt = 4 cubic inches per second.
Need to find dr/dt
Formula for volume of a sphere is: V = 4/3 * π * r^3
so now we have:
4 in^3 = 4 * π *1^2
Divide both sides by 4 * π *1^2
4 in^3 / 4π = 1/π inch per second.
The answer is 1/π inch per second ( exact answer)
or as a decimal: 0.3183 ( round as needed).
Square root of 88 is 9.38083152
Square root of 95 is 9.746794345
9.38083152 + 9.746794345 = 19.12762586
3y = -2x + 2
y = x + 4 (Substitute the y)
3(x + 4) = -2x + 2 (Distribute)
3x + 12 = -2x + 2 (Add 3 to both sides)
+3x +3x
------------------------------------------
12 = 1x + 2 (Subtract 2 from both sides)
-2 - 2
------------------------
10 = 1x (Divide by 1 on both sides)
10/1 = 1x/1
x = 10
This is your x-coordinate
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Answer:
you will have 71 tulips in each garden and 60 roses in each or 131 flowers together
Step-by-step explanation: