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3 years ago

What is the value of y ?

Mathematics

1 answer:

Molodets [167]3 years ago

4 0

The answer is 6/3 because the line is pointing at T and U which means 6/3

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The population of fish in a certain lake follows the logistic growth function , where t is the time in years.

Murrr4er [49]

Answer:

46 years

Step-by-step explanation:

We have the logistic growth function $f(t)=\frac{25,000}{1+8.25e^{-0.076t}}$ and we want to find the time when the population will reach 20,000, to do it we just need to replace $f(x)$ with 20,000 and solve for $t$ :

$f(t)=\frac{25,000}{1+8.25e^{-0.076t}}$

$20,000=\frac{25,000}{1+8.25e^{-0.076t}}$

Divide both sides by 25,000

$\frac{20,000}{25,000} =\frac{1}{1+8.25e^{-0.076t}}$

$0.8=\frac{1}{1+8.25e^{-0.076t}}$

Multiply both sides by $1+8.25e^{-0.076t}$ and divide them by 0.8

$1+8.25e^{-0.076t}=1.25$

Subtract 1 from both sides

$8.25e^{-0.076t}=0.25$

Divide both sides by 8.25

$e^{-0.076t}=\frac{0.25}{8.25}$

$e^{-0.076t}=\frac{1}{33}$

Take natural logarithm to both sides

$ln(e^{-0.076t})=ln(\frac{1}{33} )$

$-0.076t=ln(\frac{1}{33} )$

Divide both sides by -0.076

$t=\frac{ln(\frac{1}{33} )}{-0.076}$

$t$ ≈ 46

We can conclude that the population will reach 20,000 after 46 years.

5 0

3 years ago

The play took in $744 one night. The number of $8 adult tickets was 12 less than twice the number of $5 child tickets. How many

vfiekz [6]

Answer:

68 adult tickets and 40 child tickets were sold.

Step-by-step explanation:

Create a system of equations where a is the number of adult tickets sold and c is the number of child tickets sold:

8a + 5c = 744

a = 2c - 12

Solve by substitution by substituting the second equation into the first one:

8(2c - 12) + 5c = 744

16c - 96 + 5c = 744

21c - 96 = 744

21c = 840

c = 40

So, 40 child tickets were sold. Plug this into the second equation to solve for a:

a = 2c - 12

a = 2(40) - 12

a = 80 - 12

a = 68

So, 68 adult tickets and 40 child tickets were sold.

3 0

3 years ago

Find the 4th term in the sequence

kodGreya [7K]

The sequence an = 2(an-1 - 3) is a recursive sequence

The 4th term of the sequence is -42

<h3>How to determine the 4th term?</h3>

The given parameters are:

a1 = 0

a2 = -6

an = 2(an-1 - 3)

Start by calculating a3 using:

a3 = 2(a2 - 3)

This gives

a3 = 2 * (-6 - 3)

a3 = -18

Calculate a4 using:

a4 = 2(a3 - 3)

This gives

a4 = 2 * (-18 - 3)

a4 = -42

Hence, the 4th term of the sequence is -42