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Natalka [10]
2 years ago
7

A car travels a constant speed of 45 km/h

Mathematics
1 answer:
Paha777 [63]2 years ago
3 0

Answer:

1 hour

Step-by-step explanation:

because i divided

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∫<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bxdx%7D%7B%28x%5E%7B2%7D%2B4%29%5E%7B3%7D%20%7D" id="TexFormula1" title="\frac{xdx}{
photoshop1234 [79]

Substitute u=x^2+4 and du=2x\,dx. Then the integral transforms to

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}

Apply the power rule.

\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C

Now put the result back in terms of x.

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}

3 0
2 years ago
PLEASE PLEASE PLEASE HELP ME
lubasha [3.4K]

Answer:

CE = 17

Step-by-step explanation:

∵ m∠D = 90

∵ DK ⊥ CE

∴ m∠KDE = m∠KCD⇒Complement angles to angle CDK

In the two Δ KDE and KCD:

∵ m∠KDE = m∠KCD

∵ m∠DKE = m∠CKD

∵ DK is a common side

∴ Δ KDE is similar to ΔKCD

∴ \frac{KD}{KC}=\frac{DE}{CD}=\frac{KE}{KD}

∵ DE : CD = 5 : 3

∴ \frac{KD}{KC}=\frac{5}{3}

∴ KD = 5/3 KC

∵ KE = KC + 8

∵ \frac{KE}{KD}=\frac{5}{3}

∴ \frac{KC+8}{\frac{5}{3}KC }=\frac{5}{3}

∴ KC + 8 = \frac{25}{9}KC

∴ \frac{25}{9}KC - KC=8

∴ \frac{16}{9}KC=8

∴ KC = (8 × 9) ÷ 16 = 4.5

∴ KE = 8 + 4.5 = 12.5

∴ CE = 12.5 + 4.5 = 17

7 0
3 years ago
HAPPY EARTH DAY GUYS! :)
Alecsey [184]

Answer:

THANK YOU! YOU TOO! :)

Step-by-step explanation:

Have a nice dayyyyyy <3

6 0
3 years ago
Read 2 more answers
Use the equation p = 831 where p = pressure and
Inga [223]

Answer:

The lower the volume, the higher the pressure.

Step-by-step explanation:

Volume and pressure are inverse to each other -- so the more pressure, the less volume, and vice versa. Think of it like this: if you were squished into a tiny room, there would be a lot of pressure on you, and not a lot of volume to move in!

You can also think of it numerically. The higher the V in that equation (the higher the denominator) the lower the p in the equation.

6 0
3 years ago
Read 2 more answers
The ratio of boys to girls at a school is 9 to 11. If 400 students attend the school, how many are girls?
pentagon [3]
Total ratio=9+11=20
number of girls=11/20*400
                          =220
6 0
3 years ago
Read 2 more answers
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