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Vitek1552 [10]
3 years ago
14

What is the solution to 4log4(x+8)=4^2

Mathematics
2 answers:
kotegsom [21]3 years ago
6 0
4log₄(x+8)=4²
⇒ log₄(x+8) = 4²:4
⇒ log₄(x+8)= 4
⇒ x+8 = 4⁴
⇒ x+8 = 256
⇒ x = 256 - 8
⇒ x = 248


Verification : 4log₄(248+8) = 4log₄256 = 4*4 = 4² = 16 - TRUE

iVinArrow [24]3 years ago
3 0

Answer:

The answer is 8.

Step-by-step explanation:

Just took the quiz and that it correct.

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Calculate the allele frequencies in this population of palm trees. A model consisting of a box containing fourteen, randomly arr
bogdanovich [222]

Answer:

The correct answer is

0.5 F, 0.5 f

Step-by-step explanation:

We note the following

Number of colored circles in the box = 14

Number of red circles in the box = 4

Number of purple circles in the box = 6

Number of blue circles in the box = 4

The allele frequency are as follows

Where the frequency is given as

Genotype            Frequency                         Relative frequency        

FF = Red                    4                                       4/14 (0.29≈0.3)                  

Ff = Purple                 6                                       6/14 (0.43≈0.4)

ff = Blue                     4                                       4/14(0.29≈0.3)

Within this population,

We however  have 4 FF = 8 F

                                6 Ff =   6 F + 6 f  and

                                4 ff = 8 f

Total allele = 8+6+6+8 = 28

Relative frequency of F = (8+6)/28 = 14/28 = 0.5

relative frequency of f = (8+6)/28 = 0.5

Therefore the allele frequencies in the palm tree population is

0.5 F, 0.5 f

When in equilibrium we have

However the FF has the product of F×F which is = F² = 0.29 so the frequency of F = √(0.29) = 0.535≈ 0.5

The frequency of Ff is Ff or fF =  0.43 since there is equal number of each allele in Ff we have fF or Ff = Ff = 0.43

Which hives 0.43/2 = F =f ≈ 0.2

To  

and ff = 0.29 so that f = 0.535 ≈ 0.5

Therefore f = F  = 0.5 + 0.2 = 0.7

5 0
3 years ago
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