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Tamiku [17]
3 years ago
15

The quantum state of a particle can be specified by giving a complete set of quantum numbers (n,l, ml,ms). how many different qu

antum states are possible if the principal quantum number is n = 2?
Mathematics
1 answer:
ipn [44]3 years ago
7 0

To find the total number of allowed states, first, write down the allowed orbital quantum numbers l<span>, and then write down the number of allowed values of </span>m<span>l for each orbital quantum number. Sum these quantities, and then multiply by 2 to account for the two possible orientations of spin.</span>

Quantum states for n=5
l......ml
0 , 0................................1
1 , -1, 0, +1................................ 3
2 , -2, -1, 0, +1, +2................................5
3 , -3, -2, -1, 0, +1, +2, +3................................ 7
4 , -4,-3, -2, -1, 0, +1, +2, +3,+4 ................................9

2*(1+3+5+7+9)=
2*5^2 = 50 allowed states

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Julia spends $2.25 on gas for her lawn mower. She earns $15.00 mowing her neighbors lawn. What is Julia’s profit?
Korolek [52]
Her profit is $ 13.25. It’s simple math all you have to do is subtract. 2.25 - 15.00= 13.25
8 0
4 years ago
Haley invests $16,820 in a nine-year CD bearing 5.8% interest, and $21,950 in an online savings account giving 3.0% interest. Wh
a_sh-v [17]

Answer:

$2853.5

Step-by-step explanation:

Let us assume that the interest rate of both the investments of Haley is simple interest.

So, $16820 amounts of investment in nine-year CD bearing 5.8% interest will get interest of 16820 \times \frac{5.8}{100} \times 9 = 8780 dollars.

Again, $21950 amounts of investment in an online savings account giving 3% interest will give interest of 21950 \times \frac{3}{100} \times 9 = 5926.5 dollars.

Therefore, the nine-year CD will give more interest by $(8780 - 5926.5) = $2853.5. (Answer)

8 0
4 years ago
Read 2 more answers
If Tim had lunch at $50.50 and he gave a 20% tip, how much did he spend?
Colt1911 [192]
The answer is 60.60dollars


3 0
4 years ago
Write an equation for a circle if the endpoints of a diameter are at (–7, 1) and (5, 1).
yulyashka [42]
The diameter is 12 units long. Their equation could be seen in y = 1, because it is a horizontal line. From x = - 7 to x = 0 is 7 units. From x = 0 to x = 5, is 5 units. 5 + 7 = 12. This means the radius is 6. We will use this later. If you need another way to find the radius, let me know. I can just use distance formula. 

We will use these endpoints to find the center. 

Midpoint = ( \frac{X1+X2}{2} ,  \frac{Y1+Y2}{2} )
= ( \frac{- 7 + 5}{2} ,  \frac{1 + 1}{2} )
= ( \frac{-2}{2} ,  \frac{2}{2} )
= (- 1, 1)

This is the center. 

The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center. 

Plug in our given information now.

(x + 1)² + (y - 1)² = 6²

(x + 1)² + (y - 1)² = 36 is your equation. 
3 0
4 years ago
Which statement describes how the reasonable domain<br> compares to the mathematical domain?
tigry1 [53]

A statement which best describes how the reasonable domain compares to the mathematical domain is that: C. the mathematical domain includes all real numbers, while the reasonable domain includes only real numbers greater than 2.

<h3>What is a domain?</h3>

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values or numbers to a function and the domain of any graph comprises all the input numerical values or numbers which are primarily shown on the x-axis.

Next, we would evaluate the function which represents the perimeter of this rectangle by substituting the value of 2 as follows:

f(w) = 6w – 8

f(2) = 6(2) – 8

f(2) = 12 – 8

f(2) = 4.

For the length of this rectangle, we have:

Length = 2w - 4

Length = 2(2) - 4

Length = 4 - 4

Length = 0

Therefore, the width of this rectangle must be real numbers that are greater than 2.

Read more on domain here: brainly.com/question/17003159

#SPJ1

Complete Question:

A rectangle has a length that is equal to 4 less than twice the width. The function for the perimeter depending on the width can be expressed with the function f(w) = 6w – 8, where w is the width of the rectangle in centimeters.

Which statement describes how the reasonable domain compares to the mathematical domain?

Both the mathematical and reasonable domains include only positive real numbers.

Both the mathematical and reasonable domains include only positive whole numbers.

The mathematical domain includes all real numbers, while the reasonable domain includes only real numbers greater than 2.

The mathematical domain includes all real numbers, while the reasonable domain includes only whole numbers greater than 2.

8 0
1 year ago
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