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4 years ago

Numbers like 10 100 1000 and so on are called

Mathematics

2 answers:

timofeeve [1]4 years ago

5 0

They are called powers of ten

Afina-wow [57]4 years ago

4 0

Powers of ten! is the answer

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A special type of autonomous differential equation, called the logistic equation, is typically written as Cape = rP(1- ), and is

kipiarov [429]

Answer:

a) dP / dt = 0.15*P ( 1 - P/750) , r = 0.15 , K = 750

b) decreasing : ( - inf , 0 ) & ( 750 , inf )

increasing : ( 0 , 750 )

Step-by-step explanation:

Given:

- The standard for of logistic equation:

dP / dt = r*P( 1 - P/K)

Where, r and K are constants.

- The given experimental relation is:

dP / dt = 0.15*P - 0.0002*P^2

Find:

Rewrite the equation in the typical form to determine the intrinsic growth rate(r) and environmental carrying capacity (K).

For what values of P is the population increasing and decreasing? Write your answers in interval notation

Solution:

- First we will convert the given relation into standard form as follows:

dP / dt = 0.15*P - 0.0002*P^2

Factor out 0.15*P:

dP / dt = 0.15*P ( 1 - P/750)

- Hence, our constants are:

r = 0.15 , K = 750

- We will set up and inequality for what values of P is dP/dt > 0 and dP/dt <0

dP / dt = 0.15*P - 0.0002*P^2 < 0

= Solve for P:

P < 0 , 1-P/750 = 0 -----> P > 750

So when when P is decreasing the intervals are:

( - inf , 0 ) & ( 750 , inf )

And when P is increasing the intervals are:

( 0 , 750)

6 0

4 years ago

The answer to the question

Yuri [45]

The required equation of line parallel to given line is: $y = \frac{5}{6}x-8$

Step-by-step explanation:

Given equation of line is:

$y = \frac{5}{6}x+1$

As the equation of line is in slope-intercept form, the co-efficient of x s the slope

Let m1 be the slope of given line

m1= 5/6

Let m2 be the slope of new line

As the slopes of two parllel lines are equal, so

m1 = m2

m2 = 5/6

The slope intercept form is:

$y= m_2x+b$

Put m2 = 5/6 in equation

$y = \frac{5}{6}x+b$

Putting the point in the equation

$2 = \frac{5}{6}(12)+b\\2=10+b\\b = 2-10\\b = -8$

Putting the value of b, we get

$y = \frac{5}{6}x-8$

Hence,

The required equation of line parallel to given line is: $y = \frac{5}{6}x-8$

Keywords: Slope intercept form, equation of line

Learn more about equation of line at:

#LearnwithBrainly

4 0

3 years ago

What is the area of a triangle with a base length of 14 feet and a height of 7 feet?

alexandr1967 [171]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Please give me the answer and show me how you solved it

mixer [17]

on number 5 question the answer is 4,5,9

Step-by-step explanation:

it is because a right triangle is composed of 3 different sides (hypothenus, opposite angle and adjacent angle)

3 0

4 years ago

Read 2 more answers

A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine the total square feet of

Phantasy [73]

<h3>Answer: 1075 square feet</h3>

===========================================================

Explanation:

As shown in the diagram below, I've drawn a blue horizontal line to split the figure into two rectangles (smaller one up top, larger down below).

The smaller rectangle up top is 25 ft by 8 ft, giving an area of 25*8 = 200 sq ft.

The larger rectangle down below is 35 ft by 25 ft so we have an area of 35*25 = 875 sq ft.

The total area is 200+875 = 1075 square feet

Notes:

We can write "square feet" as "sq ft" or as "ft^2" without quotes.
The portion "5 ft", in the upper left corner, is never used.

5 0

3 years ago