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3 years ago

Find a number that is between2/9and3/11

1 answer:

3 0

$\text {Between } \dfrac{2}{9} \text { and } \dfrac{3}{11}$

Change the denominators to be the same:
$\text {Between } \dfrac{2 \times 11}{9 \times 11} \text { and } \dfrac{3 \times 9}{11 \times 9}$

$\text {Between } \dfrac{22}{99} \text { and } \dfrac{27}{99}$

$\text {Possible answers are } \dfrac{23}{99} \ , \dfrac{24}{99} \ , \dfrac{25}{99} \text { and } \dfrac{26}{99}$

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Find the value of the integral that converges. ∫^-5_-[infinity] x^-2 dx.

Bingel [31]

Answer:

$\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}$

Because the $\lim_{x\to -\infty} \frac{1}{x} =0$

The integral converges to $\frac{1}{5}$

Step-by-step explanation:

For this case we want to find the following integral:

$\int_{-\infty}^{-5} x^{-2}dx$

And we can solve the integral on this way:

$\int_{-\infty}^{-5} x^{-2}dx= \frac{x^{-2+1}}{-2+1} \Big|_{-\infty}^{-5}$

$\int_{-\infty}^{-5} x^{-2}dx= -\frac{1}{x} \Big|_{-\infty}^{-5}$

And if we evaluate the integral using the fundamental theorem of calculus we got:

$\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}$

Because the $\lim_{x\to -\infty} \frac{1}{x} =0$

The integral converges to $\frac{1}{5}$

8 0

3 years ago

Which of the following is NOT a benefit of swimming?

USPshnik [31]

|*~Hey sisters its Alejamtz555 here!~*|

~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~

{Answer}

D. Burn less than 400 calories per hour.

Hope this helps! <3

8 0

3 years ago

Read 2 more answers

ABC is a straight line. BD=BC Angle ADB=80° Angle BDC=20° Work out the size of the angle marked x. Give reason for your answer.

fredd [130]

Answer:

hai

Step-by-step explanation:

Pak Awi mau beli jam tangan Rolex hulk submarine dengan harga 300jt. Dia mau beli 2 tahun lagi

dengan asumsi harga jam naik 2% / tahun. Future Value

Uang pak awi sekarang hanya 100jt, berapa yang harus pak awi tabung tiap bulan nya agar 2 tahun lagi

dia bisa beli jam tangan tersebut, jika bunga tahunan adalah 15% / tahun (pajak = 10%) ??? Present

value. Future value. Present value annuity.

Bunga di terima per bulan, dan tetap di gulung.

Ya Berapa yang dia tabung tiap bulan

-pakai tabel

3 0

2 years ago

The 3kg object in Figure is released from rest at a height of on a curved frictionless ramp.

yanalaym [24]

The object compresses the spring up to 0.8577m.

<h3>What is Potential Energy?</h3>

Potential Energy is the energy possessed by an object at rest.

The object is falling from the rest and it is assumed that the friction on the ramp is zero and the air resistance is also considered to be zero so only the gravitational force acts and the total potential energy gets converted to Kinetic Energy.

The total amount of potential energy at the top of the ramp is given by

Ep=mgh

Ep=3 * 9.81 *5

Ep=147.15 Joules

This is equal to kinetic energy.

From the formula for elastic potential energy

The distance up to which the spring is compressed is determined

The force constant = 400N/m

147.15 =(1/2)k(x²)

294.3=(400)(x²)

0.73575=x²

x=0.8577 m

So, the object compresses the spring up to 0.8577m.

When the object compresses the spring, the potential energy of the spring is converted into Kinetic Energy so it will push the object back again.

To know more about Potential Energy

brainly.com/question/24284560

#SPJ1

3 0

2 years ago

52.48 which digit in the tens place

goldfiish [28.3K]

The tenth place would be. . 4

The TENS place would be 5

5 0

3 years ago