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3 years ago

Please hurry!! given AJKL : AXYZ, find x.

Mathematics

1 answer:

rosijanka [135]3 years ago

7 0

It’s 12 bc if you set a fraction, you will get the answer:
6/9=2/3 and 8/12=2/3

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Aleks04 [339]

Answer:

Step-by-step explanation:

8 0

3 years ago

The sum of the interior angles S of a polygon with n sides is given by the formula S = 180(n-2).

shusha [124]

Answer:

Step-by-step explanation:

4 0

3 years ago

Solve to x to the nearest foot

Arisa [49]

Answer:

x= 1325 ft (nearest foot)

Step-by-step explanation:

Please see the attached pictures for the full solution.

3 0

3 years ago

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

HELP HELP HELP HELP HELLPP

Veronika [31]

The rectangular prism has the greatest volume

Rectangular Prism Volume= 72
Triangular Prism Volume = 70

Volume formulas:
(R.Prism) V=l•w•h
(T. Prism) V= b•h

Work:
(R.Prism)

V= 4•6•3
V= 72

(T.Prism)

V= (1/2•4•5)(7)
V= 70

Hope this helps

4 0

2 years ago