$90.60/12 2/5 = $22.60 /c

If the vertex is the highest point on the graph what is it called

xxMikexx [17]

Answer:

It's literally called the maximum or max.

8 0

2 years ago

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What is the answer so I can answer it on my side of the phone

amm1812

Answer:

C. 134.04 $cm^{2}$

Step-by-step explanation:

The formula to calculate the volume of the cone is:

+) Volume of a cone = 1/3 x Area of base x Height

The base of the cone is a circle, so that the formula to calculate the are of the base is: Area of base = $\pi$ x $radius^{2}$

The radius of the base is 4cm

=> Area of base = $\pi$ x 4^2 = 3.14 x 16 = 16 $\pi$ $cm^{2}$

The height of the cone is given equal to 8 cm

So the volume of the cone is:

+) Volume of a cone = 1/3 x Area of base x Height = 1/3 x 16 $\pi$ x 8 = 134.04 $cm^{2}$

So the answer is C

5 0

3 years ago

Your swimming pool containing 60,000 gal of water has been contaminated by 6 kg of a nontoxic dye that leaves a swimmer's skin a

Paul [167]

[a] Dye is removed from the pool at a rate of

(250 gal/min) * (q/60,000 g/gal) = -q/240 g/gal

where q denotes the amount of dye in the pool at time t. Clean water is pumped back into the pool, so no dye is being re-added.

So the net rate of change of the amount of dye in the pool is given by the differential equation,

$\dfrac{\mathrm dq}{\mathrm dt}=-\dfrac{q(t)}{240}$

with the intial value, q(0) = 6000 g (or 6 kg).

[b] The ODE above is separable as

$\dfrac{\mathrm dq}q=-\dfrac{\mathrm dt}{240}$

Integrate both sides to get

$\ln|q|=-\dfrac t{240}+C$

$e^{\ln|q|}=e^{-t/240+C}$

$\implies q(t)=e^{-t/240+C}=e^{-t/240}e^C=Ce^{-t/240}$

Now plug in the initial condition:

$6000=Ce^0\implies C=6000$

so the particular solution to the IVP is

$q(t)=6000e^{-t/240}$

[c] The acceptable concentration of the dy is 0.03 g/gal, which in a pool containing 60,000 gal of water corresponds to

(0.03 g/gal) * (60,000 gal) = 1800 g = 1.8 kg

of dye. Find the time t when this occurs:

$1800=6000e^{-t/240}\implies0.3=e^{-t/240}$

$\implies\ln0.3=-\dfrac t{240}$

$\implies t=-240\ln0.3\approx288.953$

so the amount of dye in the pool is within the acceptable tolerance after about 289 min have passes, or about 4.82 hrs. So no, the filtration system is not up to the task.

8 0

3 years ago

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Circle A is inscribed in triangle RST. True False

Kazeer [188]

Circle touches all tree sides of the triangle, so the circle is inscribed.
True.

3 0

3 years ago

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Convert 0.62 into a percent

Taya2010 [7]

To convert a decimal into a percent move the decimal point 2 places to the right:
so 0.62 becomes 62%

3 0

3 years ago

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