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2 years ago

Why are the orbitals represented in those shapes?

Mathematics

1 answer:

Marat540 [252]2 years ago

3 0

Answer:

An orbital is a wave function for an electron defined by the three quantum numbers, n, ℓ and ml. Orbitals define regions in space where you are likely to find electrons. s orbitals (ℓ = 0) are spherical shaped. p orbitals (ℓ = 1) are dumb-bell shaped.

Step-by-step explanation:

not sure

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The equation of a circle is (x + 3)2 + (y – 5)2 = 81. Determine the coordinates of the center of the circle and the length of th

Nataly_w [17]

Answer:

The center of the circle is (-3 , 5) and the length of the radius is 9 units

Step-by-step explanation:

* Lets revise the standard form of the equation of the circle

- The center-radius form of the circle equation is in the format

(x – h)² + (y – k)² = r², where the center is the point (h, k) and

the radius is r.

- This form of the equation is helpful, because you can easily find

the center and the radius.

* Now lets solve the problem

- The equation is (x + 3)² + (y - 5)² = 81

- By comparing the two equations

∵ (x – h)² + (y – k)² = r² and (x + 3)² + (y - 5)² = 81

# x - h = x + 3

∴ -h = 3 ⇒ divide both sides by -1

∴ h = -3

# y - k = y - 5

∴ k = 5

# h and k are the coordinates of the center of the circle

∴ The center of the circle is (-3 , 5)

# r² = 81 ⇒ take √ for both sides

∴ r = 9

∴ The length of the radius = 9 units

* The center of the circle is (-3 , 5) and the length of the radius is 9 units

3 0

3 years ago

How do u find angle mesurements in a triangle

alexgriva [62]

The sum of all the angles must be 180 degrees.

3 0

3 years ago

Please help me solve this <br> 4(x-1)

JulijaS [17]

Simply multiply 4 for the terms in the parenthesis

4x-4

7 0

3 years ago

Read 2 more answers

A survey of

Zina [86]

Answer:

0.0208<p<0.0592

Step-by-step explanation:

-Given the sample size is 400 and the desired proportion is 16.

-The confidence interval can be determined as follows:

$CI=\hat p\pm z\sqrt{\frac{\hat p(1-\hat p}{n}}\\\\\hat p=x/n=16/400=0.04$

#We the use this proportion to find the CI at 95%:

$CI=0.04\pm 1.96\times \sqrt{\frac{0.04(1-0.04)}{400}}\\\\=0.04\pm 0.0192\\\\=[0.0208,0.0592]$

Hence, the 95% confidence interval is 0.0208<p<0.0592

7 0

3 years ago

Find the distance between the two points in simplest radical form.<br> (-5,8) and (-3, 1)

elixir [45]

Given:

The two points are (-5,8) and (-3,1).

To find:

The distance between the given two points in simplest radical form.

Solution:

Distance formula: The distance between two points is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, the distance between (-5,8) and (-3,1) is

$d=\sqrt{(-3-(-5))^2+(1-8)^2}$

$d=\sqrt{(-3+5)^2+(-7)^2}$

$d=\sqrt{(2)^2+(-7)^2}$

$d=\sqrt{4+49}$

$d=\sqrt{53}$

Therefore, the distance between two points (-5,8) and (-3,1) is $\sqrt{53}$ units.

3 0

3 years ago