Which situation is best represented by the following equation? 2x + x = 21

Mathematics

1 answer:

krek1111 [17]3 years ago

6 0

Answer:

If your solving for x then its x=3 because you combine liked terms then divide both sides by 3.

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A company had 488 customers. Only 50% of the company's customers bought makeup. Only 50% of the customers that bought makeup sai

Hunter-Best [27]

Answer:

1. 244

2. 122

3. 61

Step-by-step explanation:

1. 244 because I divided 488 by 2.

2. Divide 244 by 2.

2. Divide 122 by 2.

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2 years ago

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evaluate the fermi function for an energy KT above the fermi energy. find the temperature at which there is a 1% probability tha

dybincka [34]

Complete Question

Evaluate the Fermi function for an energy kT above the Fermi energy. Find the temperature at which there is a 1% probability that a state, with an energy 0.5 eV above the Fermi energy, will be occupied by an electron.

Answer:

The Fermi function for the energy KT is $F(E_o) = 0.2689$

The temperature is $T_k = 1261 \ K$

Step-by-step explanation:

From the question we are told that

The energy considered is $E = 0.5 eV$

Generally the Fermi function is mathematically represented as

$F(E_o) = \frac{1}{e^{\frac{[E_o - E_F]}{KT} } + 1 }$

Here K is the Boltzmann constant with value $k = 1.380649 *10^{-23} J/K$

$E_F$ is the Fermi energy

$E_o$ is the initial energy level which is mathematically represented as

$E_o = E_F + KT$

$F(E_o) = \frac{1}{e^{\frac{[[E_F + KT] - E_F]}{KT} } + 1}$

=> $F(E_o) = \frac{1}{e^{\frac{KT}{KT} } + 1}$

=> $F(E_o) = \frac{1}{e^{ 1 } + 1}$

=> $F(E_o) = 0.2689$

Generally the probability that a state, with an energy 0.5 eV above the Fermi energy, will be occupied by an electron is mathematically represented by the Fermi function as

$F(E_k) = \frac{1}{e^{\frac{[E_k - E_F]}{KT_k} } + 1 } = 0.01$