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AleksAgata [21]
3 years ago
15

Olivia spent $18.00 of the $21.00 from

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0

Answer:

6/7

Step-by-step explanation:

18/21 dollars is simplified when you divide the fraction by 3 on each number. So you get 6/7 of her money was spent.

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Find the smallest whole number that has exactly 12 factors
alina1380 [7]
The anwser is 60 ya...
8 0
2 years ago
Alr, this is the last question im asking for today. pls help
JulsSmile [24]

you already know i gotchu :)

Answer: u = 5

Step-by-step explanation:

first, i moved the terms.

-4u + 10u = 37 - 7

then, i collected the like terms and calculated them.

6u = 30

finally, i divided both sides.

u = 5

4 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
Sin tita + sin ^2 tita = 0
AnnyKZ [126]

Answer:

tita = 0 , 180, 270, 360.   ( tita =  0   ≤ x ≤ 360).

Step-by-step explanation:

sin tita + sin ^2 tita = 0

sin tita( sin tita + 1) = 0

sin tita = 0, - 1.

For angles between 0 and 360 inclusive  sin = 0 gives 0, 180 and 360 degrees.  The angle whose sine is -1 is 270 degrees.

tita = 0 , 180, 270, 360.

3 0
3 years ago
What's the unit rate for 219 heartbeats in 3 minutes?
olga2289 [7]
Easy
219/3=73Beats per minute
7 0
3 years ago
Read 2 more answers
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