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Rom4ik [11]
2 years ago
11

Which ordered pair is not a solution to the equation Y= 2x

Mathematics
1 answer:
GaryK [48]2 years ago
4 0
Give the answer choices and then i will help you
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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
At beacon hills middle school, 10% of children travel by bus. if this represents 60 cgildren how many children attend to the sch
VMariaS [17]
600,, because if 10% is 60 all you have to do is multiply 60 times 10 to get your answer on how many children attend the middle school. 20%= 120,, 30%= 180,, 40%= 240 and so on.
5 0
3 years ago
Write how many thousands in 655,000
Ostrovityanka [42]
Five thousands
    
    hope this helped!
3 0
3 years ago
Read 2 more answers
Dante wants to buy a new sound system for his room. He borrows $500 from his older sister and agrees to pay her 6% simple annual
NemiM [27]
0.18 6%*3= 0.18 is the answer 
8 0
3 years ago
Read 2 more answers
Find the area of a circle givin the diameter of 12. Use 3.14 for pi.​
valina [46]

Answer:

113.04 units^2

Step-by-step explanation:

The area of a circle can be found using:

a=\pi r^{2}

First, we need to find the radius, since we have the diameter.

<u />

<u><em>Radius</em></u>

The radius is half the diameter, or

r=d/2

We know the diameter is 12, so we can substitute that in

r=12/2                <em>Divide </em>

r=6

<u><em>Area </em></u>

Now we know the radius and can substitute it into the area formula

a=\pi r^{2}

a=\pi 6^2                 <em>Solve the exponent </em>

a=\pi 36

Substitute 3.14 in for pi

a=3.14*36                   <em>Multiply </em>

a=113.04

We aren't given a specific unit, so we can say the area is

113.04 units^2

8 0
3 years ago
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