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Romashka [77]
2 years ago
15

The volume of a conical pile of sand is increasing at a rate of 300πcm3/sec

Mathematics
1 answer:
lesya [120]2 years ago
7 0
So using the formula for the volume of a cone:
r^2pi x h/3

The height is always 4 times the radius, so:
h=4r

Now putting the values into the original formula:

r^2pi x 4r/3

Now to see how much the radius increases per second:

r^2pi x 4r/3=300pi

r^2 x 4r/3=300

r^2 x 4r=900

r^2 x r=225

r^3=225

The radius increases by the cubic square root of 225 cm per second.

f(s)= 225^1/3 cm
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Daniel dives into a swimming pool. The height of his head is represented by the function h(t) = -8t2 - 28t + 60, where t is the
8_murik_8 [283]
So, h(t) is how far is Daniel's head from the surface of the water, namely the surface itself is when the height is nill, so his head is at the surface and the height of it is just 0, thus h(t)  = 0.  Namely, what is "t" when h(t) is 0?

\bf h(t)=-8t^2-28t+60\implies \stackrel{h(t)}{0}=-8t^2-28t+60
\\\\\\
0=-2t^2-7t+15\implies 2t^2+7t-15=0\implies (2t+3)(t-5)=0
\\\\\\
\begin{cases}
2t+3=0\implies 2t=-3\implies &t=-\frac{3}{2}\\\\
t-5=0\implies &\boxed{t=5}
\end{cases}

clearly the seconds cannot be a negative unit, so is not -3/2.
6 0
3 years ago
Plzz help me im giving 12 points
Serggg [28]
This Is very simple.

30m + 50 = 20m + 100

This is the new equation needed to solve for m.
first we must isolate "m".

30m + 50 = 20m + 100
        - 50             - 50

30m = 20m + 50
-20m   -20m

10m = 50

divide both sides by 10 to isolate "m".

m = 5

hope this helps!





3 0
3 years ago
The answer to: expand and simplify 3x + 2 (x +5)
BARSIC [14]
Expanded: 3x^2 + 17x +10
Simply: it’s already simplified
4 0
3 years ago
Find the % of change in the cost of gasoline from 1970 with $1.25 and 2010 with $2.75
sashaice [31]
The rate of change is 110 percent.
3 0
3 years ago
A store advertises 15% off an item that regularly sells $300. How is a 15% discount similar to a 15% decrease? Explain.
Kobotan [32]
Both a discount and decrease will make the cost the same which is $225 for the object. I think that's what your asking. I'm sorry if it is not that helpful.
5 0
3 years ago
Read 2 more answers
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