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2 years ago

Homework ...........

Mathematics

1 answer:

Vesna [10]2 years ago

8 0

Answer:

Step-by-step explanation:

a+b=ab

a=apple b=banana

done.

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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

A dumpling machine automatically inserts mixed vegetables and meat filled wontons into a plastic package. Past experience reveal

Tanya [424]

Answer:

c. 0.810

Step-by-step explanation:

Given, total % of satisfactory packages = 90% = 0.90

Now, since selecting a satisfactory package is independent of any other trials (i.e. all the selection trials are independent to each other)

Hence, Probability of selecting two packages that re satisfactory

P(Selecting 2 satisfactory packages) = (0.90)^2

P(Selecting 2 satisfactory packages) = 0.90*0.90

P(Selecting 2 satisfactory packages) = 0.810

Note: We are selecting product since the chance of selecting in each trials are independent.

6 0

2 years ago

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. k = _______ Graph of f of x and g of x. f

Vladimir79 [104]

G(x) is the result of moving f(x) vertically up from -3 to 1

so k = 1 -(-3) = 4

6 0

2 years ago

Read 2 more answers

4. What is the y-intercept of the line

vagabundo [1.1K]

Answer:

A) (0,0)

Step-by-step explanation:

Plug in 0 for x to solve for y. y=4(0).

4(0)=0, so y=0.

8 0

3 years ago

39.6 x 5.20 show your work traditional method

fgiga [73]

Answer:

We have to multiply

⇒39.6 x 5.20 [ Using traditional method]

Traditional method: used by humans when they learnt counting and when fraction came into existence.Suppose something(Area of a field) is divided into parts and another thing(Amount of water used in irrigating the field) is divided into parts and then we have to multiply these two numbers.

3 0

2 years ago