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Zolol [24]
3 years ago
9

Find all solutions to the following equation without a calculator: 2secx+2tanx=2. Step by Step

Mathematics
1 answer:
Art [367]3 years ago
5 0

Answer:

At every 360°

EG. -360, 0, 360...

Step-by-step explanation:

SEE ATTACHMENT

Simplify the equation by dividing by 2.

Convert the equation so both terms have the same denominator - cos(x).

Multiply both sides by cos(x).

Looking at the graphs, where the top one is y = sin(x) and the bottom is y = cos(x), you can see that at every 360°, 1 + sin(x) = cos(x)

EG

1 + sin(-360) = cos(-360)

1 + 0 = 1

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Answer: 58 years old

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2 years ago
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
I need help on #10
Ede4ka [16]
D = sq.root of((x2 - x1)^2 + (y2 - y1)^2)
sq.root of 13 = sq.root of((x - (-2))^2 + (1 - 3)^2)
= sq.root of((x + 2)^2 + (-2)^2)
= sq.root of (x^2 + 4x + 4 + 4)
= sq.root of (x^2 + 4x + 8)

Now if we square both sides:
x^2 + 4x + 8 = 13
x^2 + 4x - 5 = 0
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x = -5 or x = 1
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3 years ago
3 to the power 6 divided 3 to the power -2
Bas_tet [7]
First find out 3 to the power of 6 which is 729 then divide by 3 which is 243
then find out what's the power of -2 to 243 which is 0.00001693508
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