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3 years ago

Find the value of "y" log(4y+1)=log(y-7)-2log2

Mathematics

1 answer:

Zanzabum3 years ago

3 0

Answer:

y = -8/15

Step-by-step explanation:

log (4y + 1) = log (y - 7) - 2log2

log (4y + 1) = log (y - 7) - log2² (power law)

log (4y + 1) = log [(y - 7)/4]

4y + 1 = (y - 7)/4 (remove log)

4(4y + 1) = y - 7

16y - y = -8

15y = -8

y = -8/15

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The answer is 3!

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2 years ago

A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 18 minutes, and then

uysha [10]

Answer:

Step-by-step explanation:

d = distance from hive to flowers, in feet

flying time = 23 min - 18 min = 5 min = 300 sec

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2 years ago

A certain semiconductor device requires a tunneling probability of T = 10-5 for an electron tunneling through a rectangular barr

Goryan [66]

Answer:

Generally the barrier width is $a = 1.9322 *10^{-9} \ m$

Step-by-step explanation:

From the question we are told that

The tunneling probability required is $T = 1 * 10^{-5}$

The barrier height is $V_o = 0.4 eV$

The electron energy is $E = 0.08eV$

Generally the wave number is mathematically represented as

$k = \sqrt{ \frac{2 * m [V_o - E]}{\= h^2} }$

Here m is the mass of the electron with the value $m = 9.11 *10^{-31} \ kg$

h is is know as h-bar and the value is $\= h = 1.054*10^{-34} \ J \cdot s$

$k = \sqrt{ \frac{2 * 9.11 *10^{-31 } [0.4 - 0.04] * 1.6*10^{-19}}{[1.054*10^{-34}^2]} }$

=> $k = 3.073582 *10^{9} \ m^{-1}$

Generally the tunneling probability is mathematically represented as

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=> $6.944*10^{-6}= e^{-2 * 3.0736 *10^{9} * a}$

Taking natural log of both sides

$ln[6.944*10^{-6}] = -2 * 3.0736 *10^{9} * a}$

=> $-11.8776 = -2 * 3.0736 *10^{9} * a}$

=> $a = 1.9322 *10^{-9} \ m$

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2 years ago

Answer this equation -3(5g+1)+8g=

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Answer:

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General Formulas and Concepts:

Pre-Algebra

Distributive Property

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Combining like terms

Step-by-step explanation:

Step 1: Define expression

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Step 2: Simplify

Distribute -3: -15g - 3 + 8g
Combine like terms: -7g - 3

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2 years ago

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Answer:

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Find the value of "y" log(4y+1)=log(y-7)-2log2​

Find the value of "y" log(4y+1)=log(y-7)-2log2