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lyudmila [28]
3 years ago
14

Need help with pre-cal please

Mathematics
1 answer:
schepotkina [342]3 years ago
3 0

Answer:

  • x = n² ± n√(n² + 8)

Step-by-step explanation:

  • x ≠ 0, n ≠ 0
  • 4/x² + 1/x = 1/(2n²)
  • (x + 4)/x² = 1/(2n²)
  • 2n²(x + 4) = x²
  • x² - 2n²x - 8n² = 0
  • D = (-2n²)² - 4(-8n²) = 4n⁴ + 32n² = 4n²(n² + 8)
  • x = (2n² ± 2n√(n² + 8))/2
  • x = n² ± n√(n² + 8)
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A population of 2000 starfish has a yearly per capita population growth rate of 0.012. By next year, how do you expect populatio
Alona [7]

Answer:

It will increase by 24 starfish

Step-by-step explanation:

The population is modeled by the following differential equation:

\frac{dN}{dt} = rN

Which has the following solution:

N(t) = N(0)e^{rt}

In which N(0) is the initial population and r is the growth rate.

A population of 2000 starfish has a yearly per capita population growth rate of 0.012.

This means that N(0) = 2000, r = 0.012

By next year, how do you expect population size to have changed?

This is N(1).

N(t) = N(0)e^{rt}

N(1) = 2000*e^{0.012}

N(1) = 2024

2024 - 2000 = 24

So the correct answer is:

It will increase by 24 starfish

4 0
4 years ago
How many grams are there in 2.5 kg?
anyanavicka [17]
There are 2,500 grams in 2.5kg
3 0
3 years ago
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What is 1430 divided by 75 in fraction form?
kobusy [5.1K]
The answer is 286/15 and as a decimal 19.06
6 0
3 years ago
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3) Katie’s family went out to dinner. The dinner bill was $85 and the family gave the server a 20% tip.
Flura [38]

Answer:

a) actual tip amount is $17

b)  Total of dinner is $102.

Step-by-step explanation:

Given:

Dinner bill = $85

Tip for server = 20%

a) We need to find the actual tip given to server as it is in percent form.

To find actual tip we will divide the tip given to server in percent with total dinner bill and then multiply it with hundred.

Actual Tip amount  = \frac{20}{100} \times 85 = \frac{1700}{100}\ =\$17

In Calculator first we will put 20 multiplied 85 we get 1700 and then in Calculator we will put 1700 and then divide by 100 we get $17

Hence the actual tip amount is $17.

b) We need to find the total of the dinner.

To find total of the dinner we will add dinner bill with actual amount paid to server.

Total of dinner = Dinner bill + Actual tip amount = $85 + $17 =  $102

In Calculator we will first put the number 85 and then add 17 with it which gives 102

Hence Total of dinner is $102.

7 0
3 years ago
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According to data from the 2010 United States Census, 71.6% of the total United States population was over the age of 20. Suppos
Luden [163]

Answer:

Mean is 0.6.

Standard deviation is 0.059

Step-by-step explanation:

The first step is finding the sample proportion p.

Suppose Maria, a researcher, takes a random sample of 70 Americans and finds that 42 are over the age of 20.

This means that p = \frac{42}{70} = 0.6

What are the mean and standard deviation of the sampling distribution of p?

Mean:

The mean of a proportion is the same as the proportion. So the mean is 0.6

Standard deviation:

Proportion p in a sample of size n. The standard deviation is:

s = \sqrt{\frac{p(1-p)}{n}}

Sample size 70, so:

s = \sqrt{\frac{0.6*0.4}{70}} = 0.059

5 0
3 years ago
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