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vivado [14]
2 years ago
7

Three times a number minus 8 is equal to 5 times the same number plus 10. what is the number?

Mathematics
1 answer:
Soloha48 [4]2 years ago
7 0
Let unknown number be x.

3x - 8 = 5x + 10

-2x = 18

x = -9

Thus, the number is -9.
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A second important result is that electrons will fill the lowest energy states available. This would seem to indicate that every
Assoli18 [71]

Answer:

  • 8

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 = 0: mℓ = 0
  • 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.

8 0
3 years ago
Mother put 22 apples in each basket. How many baskets did she use for 390 apples?
KATRIN_1 [288]

Answer:

To find the no. of baskets used to put 390 apples we have to divide 390/22  which is 17.7272727273,

so to put 390 apples we need approximately 18 baskets.

hope this answer helps you...

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2 years ago
Read 2 more answers
How is the series 5+11+17…+251 represented in summation notation?
NISA [10]

Answer:

\displaystyle \large{\sum_{n=1}^{42}(6n-1)

Step-by-step explanation:

Given:

  • Series 5+11+17+...+251

To find:

  • Summation notation of the given series

Summation Notation:

\displaystyle \large{\sum_{k=1}^n a_k}

Where n is the number of terms and \displaystyle \large{a_k} is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

  • Arithmetic Series

A series that has common difference.

  • Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

  • 11-5 = 6
  • 17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

\displaystyle \large{a_n=a_1+(n-1)d}

Where \displaystyle \large{a_n} is the nth term, \displaystyle \large{a_1} is the first term and \displaystyle \large{d} is the common difference:

So for our general term:

\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}

And for number of terms, substitute \displaystyle \large{a_n} = 251 and solve for n:

\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}

Now we can convert the series to summation notation as given the formula above, substitute as we get:

\displaystyle \large{\sum_{n=1}^{42}(6n-1)

5 0
2 years ago
What is the solution to x- 9&gt; -15?
Elanso [62]

Answer:

x < -6

Step-by-step explanation:

quick explanation: when you transfer (-9) to the other side it becomes +9.

Therefore, -15+9= -6

4 0
3 years ago
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