Answer:
10) area of 130° segment 4.5 in²
Step-by-step explanation:
10) area of full circle = πr² = (3.14)(2²) = 12.56 in²
area of 130° segment = (130/360)(12.56) = 4.54 in²
Answer:
Explanation:
1)<u> Principal quantum number, n = 2</u>
- n is the principal quantum number and indicates the main energy level.
<u>2) Second quantum number, ℓ</u>
- The second quantum number, ℓ, is named, Azimuthal quantum number.
The possible values of ℓ are from 0 to n - 1.
Hence, since n = 2, there are two possible values for ℓ: 0, and 1.
This gives you two shapes for the orbitals: 0 corresponds to "s" orbitals, and 1 corresponds to "p" orbitals.
<u>3) Third quantum number, mℓ</u>
- The third quantum number, mℓ, is named magnetic quantum number.
The possible values for mℓ are from - ℓ to + ℓ.
Hence, the poosible values for mℓ when n = 2 are:
- for ℓ = 1, mℓ = -1, 0, or +1.
<u>4) Fourth quantum number, ms.</u>
- This is the spin number and it can be either +1/2 or -1/2.
Therfore the full set of possible states (different quantum number for a given atom) for n = 2 is:
- (2, 0, 0 +1/2)
- (2, 0, 0, -1/2)
- (2, 1, - 1, + 1/2)
- (2, 1, -1, -1/2)
- (2, 1, 0, +1/2)
- (2, 1, 0, -1/2)
- (2, 1, 1, +1/2)
- (2, 1, 1, -1/2)
That is a total of <u>8 different possible states</u>, which is the answer for the question.
Answer:
Step-x ≤ 3
Given
2(4 + 2x) ≥ 5x + 5 ← distribute parenthesis on left side
8 + 4x ≥ 5x + 5 ( subtract 4x from both sides )
8 ≥ x + 5 ( subtract 5 from both sides )
3 ≥ x , hence
x ≤ 3by-step explanation:
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Charlie's Carpets:
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Carpet : $18/yd
Installation: $2/yd
Discount: 20% x $18 = 0.2 x 18 = $3.60
Carpet Price after discount = $18 - $3.60 = $14.40/yd²
Carpet Price with installation $14.40 + $2 = $16.40/yd²
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Cindy's Carpet
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Carpet = $18/yd²
Discount = 10% = 0.1 x $18 = $1.80
Price after Discount = $18 - $1.80 = $16.20/yd²
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Summary:
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Charlie's Carpet = $16.40/yd²
Cindy's Carpet = $16.20/yd²
CIndy's Carpet is cheaper.
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Find Cost:
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Length = 19 x 1/3 = 19/3 yards
Width = 12 x 1/3 = 4 yards
19/3 x 4 = 25 1/3 yd²
Cost = 25 1/3 x $16.20 = $410.40
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Answer: Cindy's Carpet is cheaper and it will cost $410.40.
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