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Verdich [7]
3 years ago
13

A disco ball is shaped like a sphere with a diameter of 16 inches. To the nearest square inch, what is the surface of the disco

ball?
Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0
If the diameter is 16 inches, then its radius is half that, r = 8.

\bf \textit{surface area of a sphere}\\\\
A=4\pi r^2\quad 
\begin{cases}
r=radius\\
-----\\
r=8
\end{cases}\implies A=4\pi 8^2
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the is c.32$&$&#&#

Step-by-step explanation:

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3 years ago
One-Half the difference of a number and 15
slega [8]

Answer:

x - 15 ÷ 2

Step-by-step explanation:

Since it wants you to find the half of your answer after you find the difference, be sure to leave the two at the end of your equation. With that said, let's move into finding out what "the difference of a number and fifteen is". Whenever they tell you 'a number', it means they want you to put a variable, such as x, since you do not know the number and it could be any number. Now, the "difference" of something usually means...you guessed it, subtraction! Now that you've decoded your equation, you now know it means that x - 15 is the first part, and you can now put the one half right after it.

If this is confusing, I can explain further. :D

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3 years ago
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Verify that P = Ce^t /1 + Ce^t is a one-parameter family of solutions to the differential equation dP dt = P(1 − P).
NemiM [27]

Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

1-P=1-\frac{ce^t}{1+ce^t}=\frac{1+ce^t-ce^t}{1+ce^t}=\frac{1}{1+ce^t}

Now, differentiate to obtain

\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}

=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}

To obtain the required form, extract a factor in both the numerator and denominator:

\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)

3 0
3 years ago
I need help on number 16 please and thank you ! For brainlest answer
marusya05 [52]
M5 is the same as m1 so it's 75°
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3 years ago
Classify the polynomial 5m^10
Naily [24]

Answer:

Monomial

Step-by-step explanation:

A polynomial has terms in their equation.

When it is a trinomial, it usually follows the pattern such as x^2+2x+1.

When it is a binomial, it usually is something like x+2

...And finally, when it is a monomial, it can be anything that has just one term. So let's say 4x^8883293483.

The polynomial 5m^10 classifies under a monomial since it only has one term

3 0
2 years ago
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