how can we solve them using the appropriate method of differential equation:
1. ( 1 + x^4 ) dy + x ( 1 + y^2 ) dx = 0
2. xy dx - x^2 dy = y sqrt( x^2 y^2 ) dy

Answer:

1267 people

Step-by-step explanation:

The area of the 10 feet by 10 feet square is 100 square feet. If 20 people fit comfortably in this area, we can use this information to estimate the number of people in a larger area.

Since we know that 20 people fit in 100 square feet, we can calculate how many people would fit in a larger area by multiplying the number of square feet by 20.

A 1 mile section of a parade route is approximately 5280 feet long and 12 feet deep (on one side of the street). Therefore, the area that the crowd is occupying is approximately 5280*12 = 63,360 square feet.

So, the number of people that would fit in this area would be approximately:

63,360 square feet * 20 people/100 square feet = 1267.2 people.

So we can estimate that 1267 people will comfortably fit in a 1 mile section of a parade route that is 12 feet deep on one side of the street.

Answer:

389 people

Step-by-step explanation:

Step 1 we convert 1500 inches to feet

Answer:

He sold 12 cakes

Step-by-step explanation:

1/5 of 20 is 4 so 3 X 4= 12 so 12 cakes

Answer:

17.1%

Step-by-step explanation:

To find the percentage of oak trees in the wood, divide the number of oak trees by the total number of trees (sum of all tree types), and then multiply by 100 to express it as a percentage:

\(\begin{aligned}\textsf{Percentage of oak trees}&= \dfrac{\textsf{Number of oak trees}}{\textsf{Total number of trees}} \times 100\\\\&= \dfrac{130}{420+130+210} \times 100\\\\&= \dfrac{130}{760} \times 100\\\\&=0.171052631... \times 100\\\\&=17.1\%\; \sf (1\;d.p.)\end{aligned}\)

Therefore, approximately 17.1% of the trees in the wood are oak trees.

Answer:

17.1%

Step-by-step explanation:

In order to calculate the percentage of trees that are oak trees, we can use the following formula:

\(\textsf{Percentage of oak trees }=\dfrac{\textsf{ Number of oak trees }}{\textsf{total number of trees} }\cdot 100\% \)

We know that the number of oak trees is 130 and the total number of trees is 420 + 130 + 210 = 760.

Substituting these values into the formula, we get:

\(\textsf{Percentage of oak trees }=\dfrac{130}{760}\cdot 100\% \\\\ = 0.1710 \cdot 100\% \\\\ \approx 17.1 \% \textsf{( in 1 d.p.)}\)

Therefore, 17.1% of the trees in the wood are oak trees.

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

i don´t know my head hurts to do that without writing it down

Step-by-step explanation:

Answer:

9m

Step-by-step explanation:

Answer:

I think its 45.1

Step-by-step explanation:

You can go online to the percent calculator and look.

The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

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Answer:

Emily, use the circle formula to solve this (x−a)^2 + (y−b)^2 = r^2

Step-by-step explanation:

where  a  and b are the center off sets in the x and y directions , repspectively.  

(x - 5)² + (y + 2)² =81/4

So you now know,  the center is at   (x,y) = ( 5, 2)

and the radius is   \(\sqrt{\frac{81}{4} }\)  ,  why is is square rooted ?  you ask.

because in our formula above it's   r^2  .. so we need to square root it to find it's value.

\(\frac{\sqrt{81} }{\sqrt{4} }\)  =  \(\frac{9}{2}\)  =  4.5  rounded to two decimals    4.50 but not necessary

Answer:

Turn it 90 degrees left or right, basically turn it left or right until it is sideways

Answer:

15

Step-by-step explanation:

Answer:

3x + 2y = -4

Step-by-step explanation:

x intercept of the line occurs at y = 0

Given the equation 3x+2y = 6

3x+2(0) = 6

3x  = 6

x = 2

The x intercept is at (2, 0)

Adding -2 to each axis will give (2-2, 0-2) = (0, -2)

y intercept of the line occurs at x = 0

Given the equation 3x+2y = 6

3(0)+2y = 6

2y  = 6

y =3

The x intercept is at (0, 3)

Adding -2 to each axis will give (0-2, 3-2) = (-2, 1)

The new coordinates are (0, -2 and (-2, 1)

Using the point slope form of the equation y - y0 = m(x-x0)

slope m = y2-y1/x2-x1

m = 1-(-2)/-2-0

m = 1+2/-2

m = -3/2

Using m = -3/2 and (0, -2)

y - (-2) = -3/2(x-0)

y+2 = -3/2 x

2(y+2) = -3x

2y+4 = -3x

-3x-2y = 4

3x + 2y = -4

Hence the required equation is 3x + 2y = -4

Answer:

2p×2p)-3+3=15-3 im not sure tho

Step-by-step explanation:

Answer:

(2p×2p)-3+3=15-3 that's what I think

The mean and standard deviation based on the information given will be 13gb and 0.4 gb.

On average, smartphone owners have 13 GB of storage, with a 3 GB standard deviation. 50 smartphone owners are chosen at random as a sample from the general population.

Remember that the sampling distribution resembles the normal distribution if the sample size is large enough (n 30), according to the central limit theorem.

The sampling distribution's mean in this instance is given by because the sample size is sufficient (n = 50).The mean of the sampling distribution is 13 gb

The standard deviation will be:

= 3 / ✓50

= 3 / 5

= 0.4 gb.

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Complete question

Suppose that among the population of smartphone owners with 16 GB of storage, the mean amount of storage used is 13 GB and the standard deviation is 3 GB. A consumer research group regularly takes random samples of 50 of these customers and calculates the mean amount of storage Calculate the mean and standard deviation of the sampling distribution x bar.

Answer:

where is the question plez give question

Answer:

Man, you put them in order from negatives to positives

Step-by-step explanation:

The sheet decreased by 1.5 meters and is now at 2.5 meters.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, s=−0.25t + 4 represents the thickness of the ice over t weeks. To find the thickness at 6 weeks, substitute t=6.

s = -0.25(6)+4

s = 2.5 meters

It started at t= 0 at 4 meters. So it decreased by (4 - 2.5) = 1.5 meters.

The start of spring has 4 meters because when t= 0, s= -0.25(0)+4 = 4

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During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts to melt.

The variable s models the ice sheet's thickness (in meters) t

weeks after the beginning of spring.

s=−0.25t+4s=-0.25t+4

s=−0.25t+4

By how much does the ice sheet's thickness decrease every 6 weeks?

The triangles ABC and DEF are not congruent

The triangles are given as:

Triangles ABC and DEF

This means that the corresponding sides of the triangles are:

AB and DE

BC and EF

AC and DF

If the triangles are congruent, then the following must be true:

AB = DE

BC = EF

AC = DF

However, from the figure;

We have:

AB = D

This means that the triangles ABC and DEF are not congruent

Hence, the triangles ABC and DEF are not congruent

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Answer:   t=24−i

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

130

Step-by-step explanation:

The numbers after the decimal point are not up to 1, so they cannot be added up to the integer.

Answer:

130 to the nearest 100th

Step-by-step explanation:

100 - 129.392 = 29.392

30 - 29.392 = 0.608

1 - 0.608

= 0.392

0.392 - 0.002

= our negative thousandth

our negative 100th is 0.39 in 129.39

What is closer to 100 is for the other side  120 or 130 in 129.38

The answer is 130

Answer:

-2 i think i am not sure though

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

First, add 3 to both sides to get 10x > -20. Then, divide both sides by 10 to get x = -2. I hope this helps :)

Given the negative numbers:

You need to remember that negative numbers are those numbers less than zero. Therefore:

a. Given the phrase "-33 rushing yards in a football game", you know that the rushing yards are represented by a negative number and it is less than zero. Therefore, it indicates a loss.

b. Given the phrase "Stock market performance for the day: -125.68 points". You can also identify that it is less than zero, therefore, it lost -125.68 points.

Hence, the answers are:

a. Loss.

b. Loss.

Answer:

Explanation:

Here, we want to get the possible true value for the function

From the given range values, g(x) cannot be negative since the lowest number is 0

Thus, g(-1) = 2 is wrong

Looking at the domain also, we have values existing from -1 to 4

This means that g(5) does not exist

Now, we are left with g(3) = 18 and g(2) = 4

We already have g(2) = 8

g(2) cannot possess two values

Thus, the possible correct value is g(3) = 18

Answer:

x  =  28 m

y  =  14  m

A(max)  =  392 m²

Step-by-step explanation:

Rectangular garden    A (r ) =  x * y

Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.

the perimeter of the rectangle is  p  =  2*x  +  2*y    ( but in this particular case only one side x will be fencing with wire

56   =   x    +  2*y      56   -  2*y  =  x

A(r)   =  ( 56  -  2*y ) * y

A(y ) =  56*y  -  2*y²

Tacking derivatives on both sides of the equation we get:

A´(y )  =  56  - 4 * y        A´(y) = 0     56  -  4*y  =  0    4*y  =  56

y =  14 m

and x  =  56  - 2*y    =  56 - 28  = 28 m

Then dimensions of the garden:

x  =  28 m

y  =  14  m

A(max)  =  392 m²

How do we know that the area we found is a local maximum??

We find the second derivative

A´´(y)  = - 4     A´´(y)  <  0   then the function A(y) has a local maximum at y = 14 m

The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint.

Let 'x' be the amount of blue paint and 'y' be the amount of red paint. Then the equations are given as,

x / y = (1/2) / (1/3)

x / y = 3/2                        ...1

x + y = 5                          ...2

From equations 1 and 2, then we have

(3/2) y + y = 5

(5/2) y = 5

y = 2 quart

Then the value of 'x' is given as

x + 2 = 5

x = 3 quart

The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.

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Answer:

2

Step-by-step explanation:

12.80=6.4x

12.8/6.4=2

x=2

Answer:

4 5/8

Step-by-step explanation:

7 7/8= 63/8

3 1/4= 13/4= 26/8

63/8 - 26/8= 37/8

37/8= 4 5/8

Answer:

92.3

Step-by-step explanation:

Home to gas station: (0,0) to (6,2) = 6.3

Gas station to friends house: (6,2) to (4,-7) = 9.2

Freinds house to movie theatre: (4,-7) to (-7,-3) = 11.7

Movie theatre to ice cream: (-7,-3) to (-8,2) = 5.1

Ice cream to park: (-8,2) to (7,7) = 15.8

Park to friends house: (7,7) to (4,-7) = 14.3

Friends house to grocery store: (4,-7) to (-4,8) = 17

Grocery store to home: (-4,8) to (0,0) = 8.9

Add them together =