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3 years ago

Can anyone help me with this?

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

3 0

Answer: 16y² - x²

Step-by-step explanation: The - sign means a difference, so the choices with + signs are eliminated (though 64x² and 9 are squares)

10 is not a square so that one is eliminated (though the y² and the 4x² are squares)

16 is the square of 4, y² is the square of y, and x² is the square. That expression shows a difference of squares.

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Margo is designing a label. The dimensions of the label are 3 1/2 inches by 1 1/4 inches. What is the area of the label?

Damm [24]

Answer:

4.375 sq. in.

Step-by-step explanation:

multiply 1.25 by 3.5 and you get 4.375

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3 years ago

What's the area of this

Ira Lisetskai [31]

The answer would be 16.5

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3 years ago

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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:

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

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3 years ago

Mary has 32 she bought 3 comic books that cost 4 each then she and her friend mowed a neighbor yard and earned 18

kifflom [539]

Answer:

Step-by-step explanation:

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and you get 20

add 18

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Max is buying a home worth $250,000. He will pay 3 percent in closing costs and 12 percent for a down payment. Calculate how muc

Svet_ta [14]

Hey there, Lets solve this together,

We all know that you will <span>start off with 250,000 and multiply that by 3%, which is the same thing as .03 in decimal form.
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= 7500

You do the same thing again.

<span>12%,= 30,000 for the down payment.
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3 years ago