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2 years ago

What is the proportion of 22/3

Mathematics

1 answer:

Rudiy272 years ago

4 0

Answer:

not to sure but is it 733.333333333333%

Step-by-step explanation:

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The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p=−0.

n200080 [17]

By solving a quadratic equation, it can be verified that

The owl population will disappear after 329.12 years

What is a quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as quadratic equation.

Here, a quadratic equation needs to be solved

The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p= $-0. 4t^2+128t+1,200$

For population to disappear, p =0

$-0. 4t^2+128t+1,200 = 0\\0.4t^2 -128t - 1200 = 0\\4t^2 - 1280t - 12000 = 0\\4(t^2 - 320 t - 3000) = 0\\t^2 - 320t -3000 = 0\\t = \frac{-(-320)\pm \sqrt{(-320)^2 - 4 \times 1 \times (-3000)}}{2 \times 1}\\t = \frac{320 \pm 338.23}{2}\\t = \frac{320 + 338.23}{2} \ or \ t = \frac{320 - 338.23}{2}\\t = 329.115 \ or \ t = -9.115$

But t = -9.115 is not possible as time cannot be negative

So, the owl population will disappear after 329.12 years

To learn more about quadratic equation, refer to the link-

brainly.com/question/1214333

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7 0

7 months ago

17 mm<br> 8 mm<br> 9 mm<br> 15 mm

OleMash [197]

Answer:

do you have to add the numbers together or multiply

4 0

3 years ago

Read 2 more answers

Which number line represents the solution to the inequality 125x + 200 > 1,200?

Elza [17]

Answer:

see below

Step-by-step explanation:

25x + 200 > 1,200

Subtract 200 from each side

25x + 200-200 > 1,200-200

25x> 1000

Divide by 25

25x/25 >1000/25

x>40

6 0

2 years ago

Marine ecologists estimate the reproduction curve for swordfish in a fishing ground to be f(p) = −0.01p2 + 9p, where p and f(p)

Nimfa-mama [501]

Answer:

The population that gives the maximum sustainable yield is 45000 swordfishes.

The maximum sustainable yield is 202500 swordfishes.

Step-by-step explanation:

Let be $f(p) = -0.01\cdot p^{2}+9\cdot p$ , the maximum sustainable yield can be found by using first and second derivatives of the given function: (First and Second Derivative Tests)

First Derivative Test

$f'(p) = -0.02\cdot p +9$

Let equalize the resulting expression to zero and solve afterwards:

$-0.02\cdot p + 9 = 0$

$p = 450$

Second Derivative Test

$f''(p) = -0.02$

This means that result on previous part leads to an absolute maximum.

The population that gives the maximum sustainable yield is 45000 swordfishes.

The maximum sustainable yield is:

$f(450) = -0.01\cdot (450)^{2}+9\cdot (450)$

$f(450) =2025$

The maximum sustainable yield is 202500 swordfishes.

6 0

3 years ago

1. Carlos has $1,800 in a checking account set aside for summer expenses.

Free_Kalibri [48]

Answer:2 weeks

Step-by-step explanation: if you subtract 1800 by 150 for the two weeks you will get 1500 and if you add 1100 by 200 every week you will get a hundred and fifty

4 0

3 years ago