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valentinak56 [21]
3 years ago
8

11(p-3)=5(p+3) really need an answer please hahaha

Mathematics
2 answers:
yawa3891 [41]3 years ago
8 0

Answer:

p=104/33

Step-by-step explanation:

Leni [432]3 years ago
7 0

Answer:

P = 8

Step-by-step explanation:

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Please solve for "a"<br><br> f(d)=ad^2+b100+10
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Help with numer 5 please. thank you​
Alex17521 [72]

Answer:

See Below.

Step-by-step explanation:

We are given that:

\displaystyle I = I_0 e^{-kt}

Where <em>I₀</em> and <em>k</em> are constants.

And we want to prove that:

\displaystyle \frac{dI}{dt}+kI=0

From the original equation, take the derivative of both sides with respect to <em>t</em>. Hence:

\displaystyle \frac{d}{dt}\left[I\right] = \frac{d}{dt}\left[I_0e^{-kt}\right]

Differentiate. Since <em>I₀ </em>is a constant:

\displaystyle \frac{dI}{dt} = I_0\left(\frac{d}{dt}\left[ e^{-kt}\right]\right)

Using the chain rule:

\displaystyle \frac{dI}{dt} = I_0\left(-ke^{-kt}\right)  = -kI_0e^{-kt}

We have:

\displaystyle \frac{dI}{dt}+kI=0

Substitute:

\displaystyle \left(-kI_0e^{-kt}\right) + k\left(I_0e^{-kt}\right) = 0

Distribute and simplify:

\displaystyle -kI_0e^{-kt} + kI_0e^{-kt} = 0 \stackrel{\checkmark}{=}0

Hence proven.

4 0
3 years ago
Please i don't understand set theory in mathematics
nordsb [41]

Set theory is the mathematical theory of well-determined collections, called sets, of objects that are called members, or elements, of the set. ... The axioms of set theory imply the existence of a set-theoretic universe so rich that all mathematical objects can be construed as sets

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3 years ago
Tom is drawing a map of the block on which he lives, using a scale of 1 inch to 160 feet. The actual length of his block is 1,80
Basile [38]
The length of tom's block on his map is 11.25 inches
5 0
3 years ago
Read 2 more answers
What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?
dybincka [34]

What you should do first is simplify the equation into the y = mx + b format. Move 2x to the other side. Know that in doing this, 2x must become the opposite of what it currently is (-2) in order for the equation to remain true. We also have to take away the '10' because the line is parallel, not exactly the same, which means a different y intercept. This looks like:

5y = -2x + b

Next, simplify y to make things easier. This can be done by dividing both sides by 5, like so:

\frac{5}{5}y = -\frac{2}{5}x + b

What you should also know is that if a line is parallel to another, then this means the slope has to be the same because they both have the same changes in rise and run. With this in mind, simply plug in the x and y values.

(-4) = -\frac{2}{5} * (5) + b

--> -4 = \frac{10}{5} + b

---> -4 = -2 + b

Add 2 to both sides to isolate b.

-4 + 2 = b

Which means that -2 = b.

Now that we have the y intercept, we can write the equation of the line, which is y = -\frac{2}{5}x - 2.

Hope this was helpful.

3 0
4 years ago
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