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2 years ago

How to write half of a number is equal to -5?

Mathematics

2 answers:

Oxana [17]2 years ago

7 0

1/2x=-5 is the answer

8090 [49]2 years ago

7 0

The equation for that would be n/2 = -5.

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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

2 years ago

If a child weighs 83 pounds, how many ounces does she weigh? 664 oz. 664 oz. 830 oz. 830 oz. 966 oz. 966 oz. 1328 oz.

NikAS [45]

Answer:

The answer is 1,328

Step-by-step explanation:

8 0

2 years ago

What is Orthocentre?

Aloiza [94]

The intersection of altitudes traced perpendicularly from a triangle's vertices to its opposite sides is known as an orthocenter.

Given that,

We have to find what is orthocenter.

We know that

<h3>What is Orthocenter?</h3>

The intersection of altitudes traced perpendicularly from a triangle's vertices to its opposite sides is known as an orthocenter. It is the location in a triangle where the three angles of the triangle intersect. An orthocenter's three primary characteristics are as follows:

Triangle: A three-sided polygon with three edges.

A triangle's height is the line that runs between its vertices and perpendicular to the other side. A triangle can therefore have three heights, one from each vertices.

Vertex - A vertex is the intersection of two or more lines.

To learn more about orthocenter visit: brainly.com/question/19763099

#SPJ4

3 0

7 months ago

What is the area of JHK

Anon25 [30]

Answer:

A (4.18

Step-by-step explanation:

You do 2.2 (base) x 3.8 (height) and divide it by 2

4 0

2 years ago

A large koi pond is filled from a garden hose at the rate of 12 gal/min. Initially, the pond contains 200 gal of water.

Semmy [17]

a) The linear function that models the amount of water after t minutes is given by:

$V(t) = 200 + 12t$

b) It takes 92 minutes to completely fill the pond.

Item a:

Initially, the pond contains 200 gal of water, that is, the linear function has a y-intercept of 200.
Filled at a rate of 12 gallons per minute, thus the linear function has a slope of 12.

Then, the function is:

$V(t) = 200 + 12t$

Item b:

It takes t minutes to fill the pond, t is found for which:

$V(t) = 1304$