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3 years ago

13

Pls send me step by step pic

1 answer:

Thepotemich [5.8K]3 years ago

7 0

To solve, simply do this:

$(\frac{1}{2}^3)-(\frac{3}{4} )^2\\\\\frac{1}{2} *\frac{1}{2} *\frac{1}{2} *\frac{1}{2} \\\\\frac{1}{8} -(\frac{3}{4})^2\\\\\frac{1}{8}-\frac{9}{16}\\\\=\frac{-7}{16}$

Then you'll get the answer, -7/16

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If y = 8x − 2, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

Nataly [62]

You just need to try with all of the pair f.ex
0,-2 -> put 0 in the x-> y=8*0-2=-2 so ok it is q possible pair of the function..
You try every pair till you find set where all the pairs fit
So set 1
1 and 6: 8*1-2=6 ok
2 and 14 : 8*2-2=14 ok
Hope I could help

6 0

3 years ago

Read 2 more answers

During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time

Lana71 [14]

Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

$\frac{dP}{dt} = Pr$

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

$\frac{dP}{P} = r dt$

$\int \frac{dP}{P} = \int r dt$

$\ln{P} = rt + K$

Applying the exponential to both sides:

$P(t) = Ke^{rt}$

In which K is the initial population.

At time t = 0 hours, the population is 300.

This means that K = 300. So

$P(t) = 300e^{rt}$

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

$P(t) = 300e^{rt}$

$1000 = 300e^{24r}$

$e^{24r} = \frac{1000}{300}$

$e^{24r} = \frac{10}{3}$

$\ln{e^{24r}} = \ln{\frac{10}{3}}$

$24r = \ln{\frac{10}{3}}$

$r = \frac{\ln{\frac{10}{3}}}{24}$

$r = 0.05$

So

$P(t) = 300e^{0.05t}$

At what time t is the population 500?

This is t for which P(t) = 500. So

$P(t) = 300e^{0.05t}$

$500 = 300e^{0.05t}$

$e^{0.05t} = \frac{500}{300}$

$e^{0.05t} = \frac{5}{3}$

$\ln{e^{0.05t}} = \ln{\frac{5}{3}}$

$0.05t = \ln{\frac{5}{3}}$

$t = \frac{\ln{\frac{5}{3}}}{0.05}$

$t = 10.22$

The population is of 500 after 10.22 hours.

7 0

3 years ago

Describe a way to make the arithmetic problem 45% x 680 mentally

lord [1]

Answer:

306.

Step-by-step explanation:

Firstly, we are aware 100% of 680 is obviously 680,

Next, we know half of a 100% is 50% therefore half of 680 is 340.

Then, we know 45% is 5% less than 50%

To find 5% of a number mentally, divide it by 10 as 100÷5=20

680÷20=34

Lastly 50% subtracted by 5%: 340-34=306.

Now we know, 45% of 680 is 306.

<em>Hope this helps.</em>

<em>Hope this helps.Please mark BRAINLIEST.</em>

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3 years ago

How many sides does a regular polygon have if each interior angle measure is four times the measure of each exterior angle.

Liula [17]

U should take a look at my =3

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4 years ago

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olasank [31]

Would it be a correct me if im wrong

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3 years ago