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Vesnalui [34]
2 years ago
15

Write an inequality for "x".

Mathematics
1 answer:
raketka [301]2 years ago
4 0

Answer: X<-3

Step-by-step explanation: I got this becuase the open dot with the arrow point left means anything lower than -3, if it was closed (filled in) dot, it would be anything -3 and lower. But since it’s not, it’s just anything lower than -3.

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Solve the differential equation.<br> question is pictured with answer choices
Nimfa-mama [501]

Integrate both sides with respect to <em>t</em> :

∫ d<em>y</em>/d<em>t</em> d<em>t</em> = ∫ -12<em>t</em> ² d<em>t</em>

<em>y(t)</em> = -4<em>t</em> ³ + <em>C</em>

Use the initial condition to solve for <em>C</em> :

5 = -4•0³+ <em>C</em>

<em>C</em> = 5

So

<em>y(t)</em> = -4<em>t</em> ³ + 5

and the answer is D.

Alternatively, you can directly apply the fundamental theorem of calculus:

\dfrac{\mathrm dy}{\mathrm dt}=-12t^2\implies y(t)=y(0)+\displaystyle\int_0^t -12u^2\,\mathrm du

\implies y(t)=5-4u^3\bigg|_0^t

\implies y(t)=5-4t^3

4 0
3 years ago
Jon reads 25 pages in 30 minutes. If Jon reads 200 pages at this same rate, how long will it take him?
kupik [55]
It will take Jon 240 minutes or 4 hours.
5 0
3 years ago
What is 3(exponent 2) multiplied by 3(exponent 3) ????
rusak2 [61]

                                                   \huge\boxed{243}

___________________________________________________________

                                             \boxed{Explanation}

So, we have the following equation...

3^2*3^3=(?)

Remember 3^2 and 3^3 is the following...

3^2=3*3\\3^3=3*3*3

Therefore, 3*3=9\\3*3*3=27\\9*27=243

So, your final answer is \boxed{243}.

___________________________________________________________

<em>Glad to help!</em>

\huge\boxed{Thanks,\;Plip.}

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An equation ........
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