Answer:
6x ≥ -24
x ≥ -4
Step-by-step explanation:
the inequality of Six times a number x is at least −24
6x ≥ -24
Divide each side by 6
6x/6 ≥ -24/6
x ≥ -4
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The diameter of the sphere is 60 mm which means its radius is 30mm. <span>The radius of a sphere is increasing at a rate of 5 mm/s.
The formula for the radius when the time is x second would be:
</span>r(t)<span>= 30+ 5x
dr/dt= 5
The speed of </span><span>volume increase </span><span>of the sphere volume would be derived from sphere volume:
</span>V(r)=4/3* pi * r^3<span>
dV/dt= 4/3 * pi * 3r^2 * (dr/dt) =4/3* pi * 3(30)^2 * 5 = 18000 pi= 56571 mm^3/s</span>
Answer:
Positive
Step-by-step explanation:
-13 plus positive 20 equals positive 7
Use the distance formula:
<span>
<span>
Plug in the given coordinates:
</span><span>
<span>
Simplify:
</span>
You can leave it as:
or in decimal form as: 7.2
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