I dont understand this question I need help on how to work it out.

I Dont Understand This Question I Need Help On How To Work It Out.

Answers

Answer 1

Answer:

108 cm

Step-by-step explanation:

You need to figure out the area of both triangles and then add them to the area of the rectangle. The area of the rectangle can be found like:

12x5=60.

Then, you need to find the are of the triangles. We are told the height of the hexagon is 13cm, and that the height of the rectangle is 5cm. So, the area of the height triangles is 13-5cm and to get the height of the original triangles we will do:

13-5=8/2=4.

Next, we need to find the area of the triangles. That is calculated using the formula a=(1/2)bh. The base is 12 cm (same as the bottom rectangle side) and the height, as found in the previous problem is 4cm. So, what we will do is:

a=(1/2)4*12=24.

The area of one triangle is 24, so we will add that to get the triangles combined area, to 48. The total area of the shape comes by adding all the areas of the shaped found inside it.

60+48=108. So the area of the hexagon is 108 cm.


Related Questions

50 POINTS!!

what is the answer(s)?

Answers

The answer is 3). 2 3/4 sq yd

Answer:

2 3/4 square yd

Step-by-step explanation:

3/1 x 11/12 = 2 3/4

what’s the answer plwase and thank you i’m so stuck i just want a good grade.

Answers

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

[tex]\stackrel{f(x)}{y}~~ = ~~10(\sqrt[7]{x}+9)\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~10(\sqrt[7]{y}+9)} \\\\\\ \cfrac{x}{10}=\sqrt[7]{y}+9\implies \cfrac{x}{10}-9=\sqrt[7]{y} \\\\\\ \left( \cfrac{x}{10}-9 \right)^7=(\sqrt[7]{y})^7 \implies \left( \cfrac{x}{10}-9 \right)^7=\stackrel{f^{-1}(x)}{y}[/tex]

Subtract 1/2 and 2/4 using fraction strips

Answers

Answer:

0

Step-by-step explanation:

1/2 = 2/4

1/2-2/4 = 0

pls help very eassy due tomm!!!

Answers

Answer: Hello how are you doing?

Step-by-step explanation: How may I help you?

Which of the layer(s) in the diagram below have liquid-like properties? 3 3&4 1,2,3 & 4 2&4 1,2 & 4

Answers

The layers in the diagram that have liquid-like properties are layers 1,2,3 and 4. This is determined by the properties of liquids, which are: high viscosity, low compressibility, and the ability to flow.

Viscosity is the measure of a liquid's resistance to flow. It can be calculated using the formula η = (ΔP/l) x (d/Δt), where η is the viscosity, ΔP is the pressure difference, l is the length of the flow, d is the change in distance, and Δt is the time difference.

Compressibility is the measure of how a liquid responds to pressure or volume change. It is calculated using the formula β = -1/V (dV/dP), where β is the compressibility, V is the volume, and dV/dP is the change in volume over the change in pressure.

The ability to flow is the measure of how a liquid can move from one place to another. It is calculated using the formula Q = A x v, where Q is the flow, A is the area of the cross-section of the flow, and v is the velocity.

By using these formulas and calculations, it can be determined that layers 1,2,3, and 4 have liquid-like properties.

Learn more about area of the cross-section here:

https://brainly.com/question/13029309

#SPJ4

For her party, Carla bought a 5-pound bag of candy to give as party treats. She invited 15 people. How much candy will each of the 15 people get? Choose the correct equation and answer for this situation.

A) 15 ÷ 5 = [tex]\frac{15}{5}[/tex] = 3 pounds

B) 5 ÷ 15 =[tex]\frac{5}{15}[/tex] = [tex]\frac{1}{3}[/tex] pounds

C) 5 ÷ 15 = 3 pounds

D) 15 ÷ 5 = [tex]\frac{1}{3}[/tex] pounds

Answers

If for her party, Carla bought a 5-pound bag of candy to give as party treats. She invited 15 people. The amount of candy that each of the 15 people get is: A) 15 ÷ 5 = 15/5 = 3 pounds.

How to find the  amount of candy to gives as party treats?

Given data:

Candy bought = 5

Number of people invited = 15

Now let find the amount of candy to gives as party treats

Number of candy = Number of people invited / Candy bought

Number of candy = 15/5

Number of candy = 3 pounds

Therefore we can conclude that the correct option is A.

Learn more about amount of candy to gives as party treats here:https://brainly.com/question/19910023

#SPJ1

Suppose that rob and big both raise animals and sell them. Because rob and big have different talents, they have varying abilities to raise these animals. In 1 day, rob can produce either 10 cows or 20 pigs. In 1 day, big can produce either 9 cows or 36 pigs.

Answers

If Rob can produce either 10 cows or 20 pigs and Big can produce either 9 cows or 36 pigs per day then the person that have comparative  advantage in production of Cows is Rob and in production of Pigs is Big .

For Rob :

in 1 day , the number of cows produced is = 10 cows ,

the number of pigs produced is = 20 pigs ;

For Big :

in 1 day , the number of cows produced is = 9 cows ,

the number of pigs produced is = 36 pigs ;

On comparing ,we get that Rob produces more number of Cows than Big;

and also Big produces more number of Pigs than Rob .

Therefore , Rob has advantage in production of Cows and Big has advantage in production of pigs .

The given question is incomplete , the complete question is

Suppose that Rob and Big both raise animals and sell them. Because Rob and Big have different talents, they have varying abilities to raise these animals. In 1 day, Rob can produce either 10 cows or 20 pigs. In 1 day, Big can produce either 9 cows or 36 pigs.

Find who has the comparative advantage in the production of cows and pigs .

Learn more about Production here

https://brainly.com/question/14787434

#SPJ4

B
10 20 30 40 50 60 70
Figure 26. Diagram of a car traveling 90 miles.
Our food stop will be at
we start our trip from Point B.
miles after
8

Answers

As a result, the automobile will go 90 miles to the location where we will stop for food before beginning our 720-mile journey.

what is distance ?

The amount or magnitude of the difference between two points is what is referred to as distance. It should be noted that the distance traveled between two positions and the distance between them are not the same. The total length of a path connecting two points is known as the distance traveled. A body's actual journey distance is referred to as distance. A different name for it is path length. For instance, the length of the path if an object is going from point O to point P will be equal to OP = 360 m. A scalar quantity is the distance. Only magnitude exists.

given

We will stop for food at after traveling 8 miles from Point B, or 90 miles total.

= 760 miles 

As a result, the automobile will go 90 miles to the location where we will stop for food before beginning our 720-mile journey.

To know more about distance visit :-

https://brainly.com/question/29130992

#SPJ1

The complete question is " . Diagram of a car traveling 90 miles . Our food stop will be at what miles after we start our trip from Point B. "

Force f acts between a pair of charges, q1 and q2, separated by a distance d. for each of the statements, use the drop-down menus to express the new force in terms of f. q1 is halved, q2 is doubled, but the distance between the charges remains d. q1 and q2 are unchanged. the distance between the charges is doubled to 2d. q1 is doubled and q2 is tripled. the distance between the charges remains d.

Answers

The initial force between the two charges is given by:

[tex]F=k\frac{q_{1} q_{2} }{d^2}[/tex]

where k is Coulomb's constant, q1 and q2 are the two charges, and d is their separation. Let's analyze now the other situations:

1. F

In this case, q1 is halved, q2 is doubled, but the distance between the charges remains d.

So, we have:

q'₁=q₁/2

q'₂=2q₂

d'=d

So, the new force is:

[tex]F'=k\frac{q'_{1}q'_{2} }{d^2} \\\\F'=k\frac{(\frac{q_{1} }{2})(\frac{q_{2} }{2}) }{d^2} \\\\F'=k\frac{q_{1}q_{2} }{d^2} =F[/tex]

So the force has not changed.

2. F/4

In this case, q1 and q2 are unchanged. The distance between the charges is doubled to 2d.

So, we have:

q'₁=q₁

q'₂=q₂

d'=2d

So, the new force is:

[tex]\\F'=k\frac{q'_{1} q'_{2} }{d^2} \\\\F'=k\frac{q_{1}q_{2} }{2d^2} \\\\F'=\frac{1}{4} k\frac{q_{1}q_{2} }{d^2} \\\\F'=\frac{F}{4}[/tex]

So the force has decreased by a factor of 4.

3. 6F

In this case, q1 is doubled and q2 is tripled. The distance between the charges remains d.

So, we have:

q'₁=2q₁

q'₂=3q₂

d'=d

So, the new force is:

[tex]F'=k\frac{q'_{1} q'_{2} }{d^2} \\\\F'=k\frac{2q_{1}3q_{2} }{d^2}\\ \\F'=6k\frac{q_{1}q_{2} }{d^2} =6F[/tex]

So the force has increased by a factor of 6.

To know more about the distance between charges:

https://brainly.com/question/12288272

#SPJ4

Answer:

1. F

2. F/4

3. 6F

Hey can you help me with this please it’s hard

Answers

Answer:

first get one odd No, again more odd number than even, Lastly two or more odd number

PLEASEE HELPPP!!!!!!Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.


At the Bluepoint Ice Cream Parlor, one group of friends ordered 3 small servings of ice cream and 1 large serving of ice cream for $13. Another group of friends ordered 2 small servings of ice cream and 1 large serving of ice cream for $10. How much does the ice cream cost?


The ice cream costs $

for a small serving and $

for a large serving.

Answers

The ice cream costs $3 for a small serving and $4 for a large serving.

How to determine the ice cream costs for a small serving and a large serving?

A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation

Since 3 small servings of ice cream and 1 large serving of ice cream for $13, and 2 small servings of ice cream and 1 large serving of ice cream for $10. We can set up two equations to represent the situation:

Let S and L represent the cost of small servings and large servings respectively

3S + L = 13 --- (1)

2S + L = 10 --- (2)

From (1):
L = 13 - 3S  --- (3)

Put (3) in (2):

2S + L = 10

2S + 13-3S = 10

-S + 13 = 10

S = 13-10

S = $3

Put S = 3 into (3):

L = 13 - 3S

L = 13 - 3(3)

L = 13 - 9

L = $4

Learn more about word problems on:

brainly.com/question/1781657

#SPJ1

What is the volume of the can of orange juice in cubic centimeters?

Answers

Salut/Hello!

Answer: 3120 cubic cm

Step-by-step explanation:
cm - centimeters
=> - results

We know the area is 156 square cm
And the height is 20 cm

We know the area formula is A = L x l
where L - length
and l - latitude

We also know the volume formula is V = L x l x h
where h - height

So we can replace the length and latitude with the area and we have
V = A x h     and we know the area and height

So we calculate:
V = 156 x 20 => V = 3120 cubic cm


I hope it was helpful! :]

Sarah, gene, and paul are proposing plans for a class fundraiser. each presents
his or her proposal for the amount of money raised, y, for x number of
hours worked, in different ways.

Answers

We can draw the conclusion that linear functions can be used to represent each of the ideas. Due to the fact that each proposal's linear function has an initial value, the class now has money in its accounts (b).

What does "Linear Function" mean?

A linear function is denoted by the equation y = mx + b, where m is the slope or unit rate between the two variables, x and y, and b is the beginning value or y-intercept.

The initial value is b.

A linear function is a graph with straight lines.

A unit rate exists for all linear functions (b).

Sarah's suggestion can be expressed by a linear function because the graph that represents it is a straight line.

Gene's Proposal's table displays the unit rate as change in y/change in x = 7. As a result, a linear function can be used to express it.

Paul's idea has a linear function as its equation.

This leads us to the conclusion that linear functions can be used to represent each of the ideas.

Due to the fact that each proposal's linear function has an initial value, the class now has money in its accounts (b).

Learn more about Linear Function Visit:

brainly.com/question/15602982

#SPJ4

Correct Question:

a committee of 4 is to be selected from a group of 9 women and 7 men. what is the probability that 2 men and 2 women are selected?

Answers

The probability of selecting 2 men and 2 women from a group of 9 women and 7 men is 11%.

The probability of selecting 2 men and 2 women from a group of 9 women and 7 men is [tex]$\frac{{7 \choose 2}{9 \choose 2}}{{16 \choose 4}}$[/tex] which simplifies to[tex]$\frac{63}{220}$[/tex] or approximately 28.6%. The probability of selecting 2 men and 2 women from a group of 9 women and 7 men is 11%.

The probability of selecting 2 men and 2 women from a group of 9 women and 7 men can be calculated by using the formula for combination, nCr. In this case, we would be selecting 4 people from 16 individuals, so n = 16 and r = 4. The formula is nCr = n!/(r!(n-r)!). This can be simplified to 16C4 = 16!/ (4!(12!)). The answer is 1820/21168, which can be simplified to 86/792, or approximately 11%. Therefore, the probability of selecting 2 men and 2 women from a group of 9 women and 7 men is 11%.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Use the teams data frame from the lahmanrbroom package. fit a multivariate linear regression model to obtain the effects of bb and hr on runs () in 1971. use the tidy() function in the package to obtain the results in a data frame.1) what is the estimate for the effect of bb on runs? what is the estimate for the effect of hr on runs?2) fit a linear model on the results from question to determine the effect of year on the impact of bb. for each additional year, by what value does the impact of bb on runs change?3) what is the p-value for this effect?

Answers

1) library(lahmanrbroom)

model <- lm(runs ~ bb + hr, data = teams %>% filter(yearID == 1971))

tidy(model)

2) model2 <- lm(bb ~ year, data = tidy(model))

3) The p-value for this effect is significantly different from zero.

The teams data frame from the lahmanrbroom package

1) To obtain the effects of bb (walks) and hr (homers) on runs in 1971 using the teams data frame from the lahmanrbroom package and the tidy() function, the following code can be used:

library(lahmanrbroom)

model <- lm(runs ~ bb + hr, data = teams %>% filter(yearID == 1971))

tidy(model)

The estimate for the effect of bb on runs can be found in the 'Estimate' column for the variable 'bb', and the estimate for the effect of hr on runs can be found in the 'Estimate' column for the variable 'hr'.

2) To determine the effect of year on the impact of bb, a linear model can be fit on the results from the previous question. The following code can be used:

model2 <- lm(bb ~ year, data = tidy(model))

The coefficient for the variable 'year' in this model represents the change in the impact of bb on runs for each additional year.

3) The p-value for this effect can be found in the 'p.value' column of the output of the summary() function applied on the model2, which tests if the coefficient for the variable 'year' is significantly different from zero.

Learn more about the teams data frame from the lahmanrbroom package here:

https://brainly.com/question/28851854

#SPJ4

Look at picture for question!

Answers

Number of seats allocated to state A = 12

Number of seats allocated to state B = 18

Number of seats allocated to state C =22

Number of seats allocated to state D = 38

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Percentage of Population of state A = 258/1858 x 100 = 13.88%

Now, Number of seats allocated to state A = 13.88% of 45

                                                                       = 12.492 = 12 (whole number)

Percentage of Population of state B = 377/1858 x 100 = 20.29%

Now, Number of seats allocated to state A = 20.29% of 90

                                                                       = 18.261 = 18 (whole number)

Percentage of Population of state C = 456/1858 x 100 = 24.54%

Now, Number of seats allocated to state A = 13.88% of 90

                                                                       = 22

Number of seats allocated to state D = 90-(12+18+22) = 38

Learn more about Percentage here:

https://brainly.com/question/15537614

#SPJ1

Find the area under the standard normal distribution curve to the right of z = 2.12. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.

Answers

The area under the standard normal distribution curve to the right of z = 2.12 is 0.0170.

What is the Area under the Standard Normal Distribution Curve?The standard normal distribution curve's total area under the curve is 1. We can therefore calculate the likelihood of a value less than or larger than that if we know the Z score, which measures how far a value is above or below the mean. Under the typical normal curve when using the Normal Distribution P(Z>z)=1-P(Z<z) determines the region to the right of z.

In this question:

Area right to the right of the z = 2.12

Using a TI-83 Plus/TI-84 Plus calculator,

P(Z> 2.12)

= P(Z<-2.12)

= 0.0170

Therefore the area under the standard normal distribution curve to the right of z = 2.12 is 0.0170.

To know more about Area under the Standard Normal Distribution Curve visit:

https://brainly.com/question/17163603

#SPJ4

Mario is cooking dinner for his family recipe he is using calls for 2 3/4 cups of chicken broth and he only has one 1 1/3 cups how much more chicken broth does Mario need for his recipe

Answers

Answer:

1 5/12 (One whole number five over twelve)

Step-by-step explanation:

Recipe calls for 2 3/4 cups

No of cups available are 1 1/3 cups

To get the number of cups needed to fulfill the recipe well say:

1 1/3 + X = 2 3/4

X = 2 3/4 - 1 1/3 = 1 5/12

An archaeologist in turkey discovers a spear head that contains 53% of its original amount of c-14.


find the age of the spear head to the nearest year.


(5250 isn’t right)

Answers

The age of the spearhead to the nearest year will be 6,349

When an organism dies, it stops regenerating new carbon, which causes the organism's total carbon-14 concentration to gradually deplete. By analyzing the ratio of carbon-14 to carbon-12 in an organism, scientists can ascertain when it died.

0.53No = Noe^-0.0001t for T.

Divide both sides by No

0.53No = Noe^0.0001t

0.53 = e^-0.0001t

Take the log of both sides

In 0.53 = In e^-0.0001t

Apply In e^x = x.

In 0.53 =-0.0001t

Divide both sides by -0.0001t to solve for t.

t=6,349

Know more about C-14

https://brainly.com/question/1593707

#SPJ4

Which statement is true of table A and table B shown below?



Table A represents a function because there is only one output for
each input value.

Table B represents a function because there is only one output for
each input value.

Table A represents a function because there is only one input for each
output value.

Table B represents a function because there is only one input for each
output value.

Answers

Table A represents a function, but Table B does not represent a function.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

A function or mapping is described as a collection of pairs of x and y that are ordered such that given different values of x, there will also be different values of y or vice versa.

For instance, the function x=y+2 yields a different x for every different value of y, while yielding the same x value for every single different value of y.

We obtain two distinct x for two distinct ys, thus we can refer to this as a function at that point.

As, each element of X is associated with a unique element of Y, so this is a function.

Table A    

          X                Y

          3                 1

          2                 0

          1                  0

As, each element of X is associated with a unique element of Y, so this is a function.

Table B

X             Y

3             -2

5              1

5              2

Hence, Table A represents a function, but Table B does not represent a function.

To learn more about the function visit,

brainly.com/question/25638609

#SPJ1

What is the length of segment AB?

Answers

50

I attached a pic of my work.

so what I did was find the amount of the other sides of the triangle using their opposite congruent sides. aka, the bottom is 90, which means the top should also be 90. and 90-50 is 40, so the rest of that side (which is one side of the triangle) should be 40.

and then I used the pythagorean theorem, since it is a right triangle (indicated by the squares in the corners).

the theorem states that a^2 + b^2 = c^2

so just plug in the legs (a and b), and you should get the amount of segment AB (which is c)

Solve for x. Round to the nearest tenth, if necessary.

Answers

By using a trigonometric relation, we will see that the value of x on the right triangle is x = 53.4

How to find the value of x on the right triangle?

We want to find the value of x on the given right triangle, which is one of the cathetus of the triangle (the adjacent cathetus of the shown angle).

We know one angle of 51°, and the opposite cathetus of that angle, which has a measure of 66 units.

Here we can use the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing the known values, we will get:

tan(51°) = 66/x

Solving that for x, we will get:

x = 66/tan(51°) = 53.4

The measure of the adjacent cathetus is 53.4 units.

Learn more about right triangles by reading:

https://brainly.com/question/2437195

#SPJ1

How to solve 3 equations with 3 variables using elimination?

Answers

The elimination method is used to solve a system of equations with multiple variables. Repeat this process until all of the variables have been eliminated, then simplify the equations to solve for the remaining variable.

Once a variable has been isolated, it can then be eliminated from the other equations by either adding or subtracting the equations from each other. This process should be repeated until all of the variables have been eliminated from all of the equations.

For example, let's solve the following system of equations with 3 variables a, b, and c:

a + b + c = 8

2a + b + 2c = 12

3a + 2b + 3c = 18

First, isolate the variable c in equation 1 by subtracting b and a from both sides:

c = 8 - a - b

Substitute this expression for c in equation 2 and 3 to eliminate c:

2a + b + 2(8 - a - b) = 12

3a + 2b + 3(8 - a - b) = 18

Then simplify the equations to solve for the remaining variables:

2a + 3b = -4

9a + 6b = 36

Next, isolate the variable a in equation 2 by subtracting 3b from both sides:

a = -4/2 - 3b/2

Substitute this expression for a in equation 1 and 3 to eliminate a:

-4/2 - 3b/2 + b + 8 - b = 8

9(-4/2 - 3b/2) + 6b + 3(8 - b) = 36

Then simplify the equations to solve for the remaining variable:

15b = -12

b = -12/15

Finally, substitute b back into equation 1 or 2 to solve for a:

a + (-12/15) + 8 = 8

a = 8 - (-12/15) - 8

a = 24/15

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

in bridge, there are 4 players (a, b, c, d) and each player receives thirteen cards (from a standard shuffled deck of 52 cards). what is the probability that (a) exactly 1 of the 4 players has exactly one ace and one king?

Answers

0.168 is the probability that exactly 1 of the 4 players has exactly one ace and one king.

What is probability?

The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

a)

Given that,

each player gets 13 cards.

So, n = total no. of ways = ⁵²C₁₃ = 6.350× 10¹¹

As we know, there are 2 black aces and 4 kings in a deck of 52 cards. Since, one black ace out of 2 black aces can be chosen in ²C₁ ways, next one king out of 4 kings in ⁴C₁ ways and the remaining 11 cards from the remaining 46 cards in ⁴⁶C₁₁ ways.

So, m = ²C₁ × ⁴C₁ × ⁴⁶C₁₁

m = 1.067 × 10¹¹

Therefore, Required probability p =  m/n

p = (1.067 × 10¹¹) / (6.350× 10¹¹)

p = 0.168

To know more about probability refer to:

brainly.com/question/24756209

#SPJ4

find the area of the parallelogram with vertices a(−3, 0), b(−1, 6), c(8, 5), and d(6, −1).

Answers

Applying the area of the parallelogram formula, it can be concluded that the area is 56 square units.

The area of the parallelogram is the magnitude of the cross-product of the adjacent edges (base and height).

Given information:

A parallelogram is made up of 4 vertices: A(−3, 0), B(−1, 6), C(8, 5), and D(6, −1).

So first we find the adjacent edges as follows:

AB = B - A

     = ( (-1-(-3)) , (6-0) )

     = (2,6)

AD = D - A

     = ((6-(-3)) , (-1-0))

     = (9,-1)

We want to find the area of the parallelogram, we do the following step:

[tex]AB x AD = \left[\begin{array}{ccc}i&j&k\\2&6&0\\9&-1&0\end{array}\right][/tex]

               = i(0 - 0) + j(0 - 0) + k(-2 - 54)

               = -56k

The area of the parallelogram = | AB x AD |

                                                  = √(-56)²

                                                  = 56 square unit

To learn more about area of the parallelogram, click here: https://brainly.com/question/29262153

#SPJ4

Solve the given differential equation by separation of variables. dP/dt =P-P2 P=

Answers

In accordance with the above assertion, the offered differential equation by variable separation is P = 1/ (k*e^t +1).

What does a math differential equation mean?

A differential equation in mathematics is one that has one or more negatively influencing variables. Dy/dx provides the function's derivative. The phrase describes an equation with several ways to connect the dependent variable to one or more regressors.

dP/dt = P - P^2

1/(P - P^2)dP = dt

∫1/(P - P^2)dP = ∫dt

t + c = 1/(P - P2)dP, where c would be a constant

Use the partial fractions method to calculate the integrated on the left. We wish to rewrite 1/(P-P2) in the pattern A/P+B/(1-P) for those constants A and B since P-P2 factors to P(1-P). We therefore have:

1/[P(1-P)] = A/P + B/(1-P)

A(1-P) + BP = 1

When P is 1, we have A(1-1)+B(1)=1, or B=1.

When P is 0, we have A(1-0)+B(0)=1, or A=1.

So, we can rewrite 1/(P-P^2) as 1/P+1/(1-P).

Whilst doing the entire on the ODE's left side, we have:

∫1/(P - P^2)dP

∫[1/P + 1/(1-P)]dP

∫(1/P)dP + ∫1/(1-P)dP

ln(P) + ∫1/(1-P)dP

Make a u-substitution to perform the second integral:

u = 1-P, du = -dP

ln(P) - ∫(1/u)du

ln(P) - ln(u)

ln(P) - ln(1-P)

ln[P/(1-P)]

Reconnecting that to the ODE yields the following:

ln[P/(1-P)] = t + c

e^ln[P/(1-P)] = e^(t + c)

P/(1-P) = e^t * e^c

P/(1-P) = ke^t, where k is a constant equal to e^c

P = (1-P)ke^t

P = ke^t - Pke^t

P + Pke^t = ke^t

P(1 + ke^t) = ke^t

P = ke^t / (1 + ke^t)

P = e^t / (1/k + e^t)

P = e^t / (d + e^t), where d is a constant equal to 1/k

So, the general solution to the ODE is P = e^t / (d + e^t), where d is a constant.

p*(1-p) = k*e^t ( we say that e^k is a constant)

1-p/p = k*e^t

P = 1/ (k*e^t +1)

To know more about Differential equation visit:

https://brainly.com/question/23802083

#SPJ4

The complete question is-

Solve the given differential equation by separation of variables.

dP/dt = P - P²

If 16, x, 1, y are in Geometric Progression, find the product of x and y. ​

Answers

The product of x and y is: "1"

Step-by-step Solution:

Given: 16/9, x, 1, y  are in Geometric Progression (G.P)

Let the general terms of a Geometric Progression are: a, ar, ar², ar³

So, On comparing we get; a=16/9,

⇒ar² = 1

⇒ 16/9*r² = 1

⇒ r² = 9/16

r = 3/4

x = ar

⇒ (16/9)(3/4)

x=4/3.

y = ar³

⇒(r)(ar^2) = (3/4)(1)

y=3/4.

Now, to find the product of "x" and "y":

⇒x*y = 4/3 x 3/4

1

Learn more about "Geometric Progression" here:

brainly.com/question/24615336

The regression equation y = 8.6sin(0.24x – 1.88) + 62.8 models the Fahrenheit temperature in a room x hours after midnight. What is the maximum temperature in the room during the first 24 hours?

54.2°F
57.0°F
62.8°F
71.4°F

Answers

Answer:

71.4°F

Step-by-step explanation:

The maximum is when [tex]\sin(0.24x-1.88)=1[/tex], yielding a maximum of [tex]8.6+62.8=71.4[/tex].

Answer in standard form

Answers

10^10/2 or 5000000000

triangle ABC was translated 4 units to the left and 3 units down. write the rule that describes the transition that was applied to the triangle ABC to create triangle A’B’C’

Answers

The transition that was applied to the triangle ABC to create triangle A’B’C’ is (x, y) ⇒ (x - 4, y - 3)

What are rigid transformations?

Transformation is the movement of a point from its initial location to a new location. Rigid transformations are transformations on the coordinate plane that preserves the shape and size of the figure. Types of rigid transformations are reflection, translation and rotation.

Rigid transformations are translation, reflection and rotation since they preserve the size.

Translation is the movement of a point up, left, right or down in the coordinate plane.

Triangle ABC was translated 4 units to the left and 3 units down using the rule (x, y) ⇒ (x - 4, y - 3)

Find out more on rigid transformations at: https://brainly.com/question/16979384

#SPJ1

Other Questions
a client presents in the emergency department with acute onset of fever, headache, stiff neck, nausea/vomiting, and mental status changes. what interventions should the nurse initiate Convert 46.1031 to 4 significant figures if a bar of soap cost $2,49 in 2003 how much did a bar of soap cost in 2005 you have a recovery services vault named vault1 that has soft delete enabled. vault1 stores backups for the following azure resources: an azure virtual machine named vm1 an azure file share named share1 a sql server on azure virtual machine named sql1 which backups are protected by soft delete? 3x + 2 3x 5 - 5Qui pourait m'expliquer svp ? uma wants to create a name for the range showing the expenses for 2017. she types in exp2017 but excel rejects the name. what is the problem? the nurse is reading the primary health care provider's (phcp) documentation regarding a pregnant client and notes that the phcp has documented that the client has an android pelvic shape. the nurse understands that which characteristics are included with this pelvic shape? select all that apply you were in the garden, there are 34 people in the yard. 30 people left. how many people are in the garden. the price of bread has decreased by 5 percent, leading to an increase in the quantity demanded of butter by 1 percent. the cross-price elasticity of demand between bread and butter is: If the sales contract is assigned, until what point in the transaction are the original buyer and seller obligated to fulfill the terms and conditions of the contract? during the current year, pacific co. experienced a loss on the sale of equipment that was used to manufacture its products. pacific prepares its statement of cash flows using the direct method. how should pacific report the loss on the sale of equipment on its statement of cash flows? Determine whether each function has a constant or variable rate of change. Use rates of change to determine whether each function is linear or nonlinear. answer 2 irrational numbers that add up to 2 (X+2)(x+y+1)Can someone help me with this one use a command to output the number of lines, words and file size of the readme.md file. how many lines are in the file according to this output? Sam tried tying toys to his toy parachute. He discovered that differences in size, shape, and material affectedA: FrictionB: MotionC: DirectionD: Drag Are specific recommendations for each nutrient, meant to help consumers achieve good health and avoid major excesses.a. Trueb. False What is happiness?{Just curious} in 2000 the population of Africa was 807million and by 2011 it had grown to 1052million.find the exponential growth function that models the data a solution containing 1.00 g of an unknown nonelectrolyte liquid and 9.00 g of water has a freezing point of -3.33 *C. Calculate the molar mass of the unknown liquid in g/mol.