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Basile [38]
3 years ago
5

Solve for x ( I already did 1 and 3 )

Mathematics
1 answer:
dusya [7]3 years ago
4 0

Answer:

Answer for problem two: 2

Answer for problem four: 1/3 (one-third)

Answer for code: FHDA

Step-by-step explanation:

For Two: I had to multiply 4 to both sides which would cross the 4 on the left side out and the right side would become 20. Then, I just subtracted 18 to leave x alone and got x=2.

For Four: I had to subtract one from both sides to make 33x on the left and 11x on the right. 33x=11. Then, I had to do: 11/33 to leave the x alone and I ended up with 1/3.

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Zorah, a musician, pays $120 to have her instrument tuned and $10 per hour for a booth at a fair. She estimates that she earns $
-BARSIC- [3]
Subtracting 10x from the given equation gives
  120 = 15x
Then dividing by 15 gives
  8 = x

Zorah will have to play 8 hours in order to break even (cover her expenses exactly).
8 0
3 years ago
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“encontrar la integral indefinida y verificar el resultado mediante derivación”
Oliga [24]

I=\displaystyle\int\frac x{(1-x^2)^3}\,\mathrm dx

Haz la sustitución:

y=1-x^2\implies\mathrm dy=-2x\,\mathrm dx

\implies I=\displaystyle-\frac12\int\frac{\mathrm dy}{y^3}=\frac1{4y^2}+C=\frac1{4(1-x^2)^2}+C

Para confirmar el resultado:

\dfrac{\mathrm dI}{\mathrm dx}=\dfrac14\left(-\dfrac{2(-2x)}{(1-x^2)^3}\right)=\dfrac x{(1-x^2)^3}

I=\displaystyle\int\frac{x^2}{(1+x^3)^2}\,\mathrm dx

Sustituye:

y=1+x^3\implies\mathrm dy=3x^2\,\mathrm dx

\implies I=\displaystyle\frac13\int\frac{\mathrm dy}{y^2}=-\frac1{3y}+C=-\frac1{3(1+x^3)}+C

(Te dejaré confirmar por ti mismo.)

I=\displaystyle\int\frac x{\sqrt{1-x^2}}\,\mathrm dx

Sustituye:

y=1-x^2\implies\mathrm dy=-2x\,\mathrm dx

\implies I=\displaystyle-\frac12\int\frac{\mathrm dy}{\sqrt y}=-\frac12(2\sqrt y)+C=-\sqrt{1-x^2}+C

I=\displaystyle\int\left(1+\frac1t\right)^3\frac{\mathrm dt}{t^2}

Sustituye:

u=1+\dfrac1t\implies\mathrm du=-\dfrac{\mathrm dt}{t^2}

\implies I=-\displaystyle\int u^3\,\mathrm du=-\frac{u^4}4+C=-\frac{\left(1+\frac1t\right)^4}4+C

Podemos hacer que esto se vea un poco mejor:

\left(1+\dfrac1t\right)^4=\left(\dfrac{t+1}t\right)^4=\dfrac{(t+1)^4}{t^4}

\implies I=-\dfrac{(t+1)^4}{4t^4}+C

4 0
3 years ago
Which number is a solution of the inequality c &gt; 5?<br><br> A) 2<br> B) 2.5<br> C) 5<br> D) 6.5
Reil [10]

Answer:

6.5

Step-by-step explanation:

4 0
3 years ago
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The ratio of boys to girls in Ms. smith’s class is 3 to 4. If there are 12 boys, how many girls are there?
Lorico [155]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ There will be 16 girls.

The relationship is x4. If we multiply 3 x 4, we get 12. What we do to one number we do to the other so 4 x 4 = 16.

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

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Which of the following is equivalent to 3^4?<br> 1. 12<br> 2. 81<br> 3. 7<br> 4. 64
Anna35 [415]
I think the answer is 12 because 3 times 4 is 12
3 0
3 years ago
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