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3 years ago

8

WILL MARK BRAINLIEST!! 50 POINTS!! SHOW ALL WORK!!

1 answer:

maks197457 [2]3 years ago

8 0

We are given -5x + y = -3 and
-15x +3y = -7

We let y = 5x - 3

Then -15x + 3(5x - 3) = -7 or
-15x + 15x -9 = -7 which leads to
-9 = -7

This result means the lines do not intersect

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Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species

kotegsom [21]

Answer:

$P(t) = \frac{160000e^{1.36t}}{2000 + 80(e^{1.36t} - 1)}$

Step-by-step explanation:

The logistic equation is the following one:

$P(t) = \frac{KP(0)e^{rt}}{K + P(0)(e^{rt} - 1)}$

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.

In this problem, we have that:

Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that $P(0) = 80, K = 2000$ .

The number of fish tripled in the first year. This means that $P(1) = 3P(0) = 3(80) = 240$ .

Using the equation for P(1), that is, P(t) when $t = 1$ , we find the value of r.

$P(t) = \frac{KP(0)e^{rt}}{K + P(0)(e^{rt} - 1)}$

$240 = \frac{2000*80e^{r}}{2000 + 80(e^{r} - 1)}$

$280*(2000 + 80(e^{r} - 1)) = 160000e^{r}$

$280*(2000 + 80e^{r} - 80) = 160000e^{r}$

$280*(1920 + 80e^{r}) = 160000e^{r}$

$537600 + 22400e^{r} = 160000e^{r}$

$137600e^{r} = 537600$

$e^{r} = \frac{537600}{137600}$

$e^{r} = 3.91$

Applying ln to both sides.

$\ln{e^{r}} = \ln{3.91}$

$r = 1.36$

This means that the expression for the size of the population after t years is:

$P(t) = \frac{160000e^{1.36t}}{2000 + 80(e^{1.36t} - 1)}$

4 0

3 years ago

You want to order carpet for an area in your house. The room measures 12 feet by 10 feet. Remember, Area = Length × Width. If ea

pochemuha

Answer:

402.9 $

Step-by-step explanation:

first you must turn foot into yards "every 3 foot = 1 yard"

3.33 , 4

then we will use the area=length x width formula

3.33 x 4 = 13.32 square yards

the cost of the carpet is

13.32 x 30.25 = 402.9$

4 0

3 years ago

Give three numbers whose product is -64

ololo11 [35]

Answer:

8 times -8

2 times -32

4 times -16

Step-by-step explanation:

hopefully that helped

8 0

3 years ago

Read 2 more answers

Can someone help with this?

aleksklad [387]

Answer:

Its the second one

Step-by-step explanation

the reason why is because

<= less than- so it goes to the left and since its not less than or equal to its an open circle instead of a closed circle.

4 0

2 years ago

If P = (-3,5), find the image

Zepler [3.9K]

I believe the answer is 3,5 if you are going counterclockwise

7 0

3 years ago