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3 years ago

13

P is the set of natural numbers that are less than 12

1 answer:

Damm [24]3 years ago

4 0

Answer:

{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 }

Step-by-step explanation:

As per the definition, a natural number is a counting number (non-fractional number) that is greater than zero, but not equal to zero.

A set of natural numbers below 12 (but not including 12, because such isn't specified) would henceforth be;

{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 }

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A homeowner plans to remodel her bathroom,- and she’s chosen 1-foot-by-1 foot ceramic tiles for the floor. The bathroom is 8 fee

Cerrena [4.2K]

a.)102*88=8976 in total.

8976/12=748 tiles

b.) 4*748=2992 dollars

c.) yes it qualifies

hope this is correct, if not, sorry for the inconvenience...

8 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

If y varies directly as x and inversely as z,what is the correct equation describing the relationship between x,y,and z?

vovangra [49]

<h2>VARIATION</h2>

$\rm\large{Hi!!}$

<h3>QUESTION:</h3>

If y varies directly as x and inversely as z,what is the correct equation describing the relationship between x,y,and z?

<h3>ANSWER:</h3>

The givén problem is an ēxample of <u>Combinēd </u><u>Variation</u>. So the córrect equation for this problem is this:

$y = \frac{kx}{z}$

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Hi, Im Daubechies, a Filipina user ≧▽≦

7 0

3 years ago

If a person weighs 130 Ibs and they lose 1/10 of their weight.How much weight was lost

vampirchik [111]

Answer:

13 lbs

Step-by-step explanation:

to find 1/10 we divide by 10

This can be found by moving the decimal back by one

So 130/10=13

13 lbs were lost

8 0

3 years ago

What is NOT the value of the expression |-8|

GarryVolchara [31]

If your asking for the wrong absolute value of it it’s -8 but if you want the right one it’s 8 but I think the answer to your question is -8.

7 0

2 years ago

Read 2 more answers