Find the value of 'x', round to 4 decimal places.

A slope field for the given differential equation dy/dx = xy/2 at the 9 points indicated is shown below.

We know that a slope field represents the slope of a differential equation at certain vertical and horizontal intervals on the coordinate plane.

First we construct a table which contains the values of slope.

Consider given differential equation dy/dx = xy/2

where -1 ≤ x ≤ 1,

1 ≤ y ≤ 3

Let the slope be m

so, dy/dx = m

For x = -1, y = 1

m = (-1 × 1)/2

   = -1/2

For x = -1, y = 2

m = (-1 × 2)/2

   = -1

For x = -1, y = 3

m = (-1 × 3)/2

   = -3/2

For x = 0, y = 1

m = (0 × 1)/2

   = 0

For x = 0, y =2

m = (0 × 2)/2

   = 0

For x = 0, y = 3

m = (0 × 1)/2

   = 0

For x = 1, y = 1

m = (1 × 1)/2

   = 1/2

For x = 1, y = 2

m = (1 × 2)/2

   = 1

For x = 1, y = 3

m = (1 × 3)/2

   = 3/2

So, the table is:

x/y     1  2    3

-1     -1/2   -1      -3/2

0     0   0   0

1       1/2     1      3/2

Therefore, the slope field is as shown below.

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Answer:

-2

Step-by-step explanation:

6x + 10 = 1x

Subtract 6x from both sides.

10 = -5x

------------ Divide by -5

     -5

-2 = x

6x + 10 = 1x

Subtract 10 from both sides

6x + 10 (-10)= 1x (-10)

6x =1x - 10

Subtract 1x from both sides

6x (-x) = 1x (-x) - 10

5x = -10

Divide both sides by 5

5x (/5) = -10 (/5)

x = -2

Hope that helps :)

solving for "xx"

[tex]\sqrt{xx - 2}=7\implies \sqrt{xx - 2}=7\implies (\sqrt{xx - 2})^2=(7)^2 \\\\\\ xx-2=49 \implies xx=51[/tex]

9514 1404 393

Answer:

  51.63 m²

Step-by-step explanation:

The relevant area formulas are ...

  A = πr² . . . . . area of a full circle of radius r

  A = LW . . . .  area of a rectangle of length L and width W

  A = 1/2bh . . . area of a triangle with base b and height h

__

The figure area is the sum of the areas of 1/2 a circle of radius 3 m, a rectangle with base 6 m and height 5 m, and a triangle with base 3 m and height 5 m. Using the above formulas, we find the area to be ...

  A = (1/2)(3.14)(3 m)² +(6 m)(5 m) + 1/2(3 m)(5 m)

  A = (14.13 +30 +7.5) m² = 51.63 m²

The area of the figure is about 51.63 m².

The percentage of ounce Dariu has left of his port drink is 55%.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

It is given that Dariu ha a 40-ounce port drink.

He drank 18-ounce port drink.

First calculate what percentage of port drink Dariu drank.

The equation is -

= (18/40) × 100

= 45%

So, Dariu drank 45% of the port Drink.

Now, subtract the percentage Dariu drank from the 100% (40 Ounce) drink Dariu had -

100 - 45 = 55

Therefore, Dariu has 55% drink left.

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Answer:

difference is 12 units

Step-by-step explanation:

line shown has a y-intercept of -4

now find y-intercept of f(x) by first finding its slope:

(-2,0) and (2,-32)

m = (0+32)/(-2-2)

m = 32/-4

m = -8 (slope)

Now find the y-intercept (or 'b') from substituting into 'y=mx+b':

0 = (-2)(-8) + b

0 = 16 + b

-16 = b (y-intercept)

-16 - (-4) = -12

The function domain is X≥5  Or in interval notation [5, ∞)

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Answer:

[tex]y=6x-4[/tex]

Step-by-step explanation:

First we have to know how to write a equation in Slope-Intercept Form!

Slope-Intercept Form: [tex]y=mx+b[/tex]

where y = y axis, m = slope, x = x intercept and b = y-intercept

Now start by solving the slope

To find the Slope, you must find two points

Two points will be: [tex](0,-4)[/tex] and [tex](1,2)[/tex]

Then use the Slope-Formula to identify the slope

[tex]m=slope[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{2--4}{1-0}[/tex]

[tex]m=\frac{6}{1}[/tex]

[tex]m=6[/tex]

The Slope is 6

The y-intercept is already given by the point (0, -4)

Note: (this goes to this situation because the point has a 0 of x intercept)

doomdabomb: "I decided to answer this for fun just to earn some points but if you want you can take a look at this beautiful answer that i just made"

The simplified value of x is 44 / 15 or 7 / 5 and value of y is -2

Simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Given that, simply the following

a) 2(y-1)/3-3(y-2)/4=1

b) 3x=44/5=2x+6

1) 2(y-1) / 3 - 3(y-2) / 4 = 1

Multiplying by 12 to both sides,

8(y-1) - 9(y-2) = 12

8y-8 - 9y+18 = 12

-y + 10 = 12

y = -2

2) 3x = 44 / 5 = 2x+6

3x = 44 / 5

Multiplying by 5 to both sides,

15x = 44

x = 44 / 15

or,

44 / 5 = 2x + 6

Multiplying by 5 to both sides,

44 = 10x + 30

14 = 10x

x = 7 / 5

Hence, the simplified value of x is 44 / 15 or 7 / 5 and value of y is -2

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The solution is Option A.

Substitution is the second strategy for solving a system of equations

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A is

ax + by = c   be equation (1)

Let the second equation be represented as B

dx + ey = f   be equation (2)

On adding or subtracting both the equations , we can eliminate one of the variables from the system of equations

And , to calculate the other variable , substitute the value of the variable in either of the equations to solve the system of equations

So , we will get the value of the variable x and y

Hence , the system of equations can be solved by substitution

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

Work Shown:

4.3*10^8 = 4.3 * 10^(3+5)

4.3*10^8 = 4.3 * 10^3*10^5

4.3*10^8 = 4.3*1000*10^5

4.3*10^8 = 4300*10^5

Priscilla has 4300*10^5 strands of hair while Diego has 8.7 * 10^5 strands. Subtract the values out front: 4300-8.7 = 4291.3

Then tack on the "*10^5" portion to get 4291.3*10^5

The difference in the number of strands is 4291.3*10^5

Convert this to scientific notation to get the final answer.

4291.3*10^5 = (4291.3)*10^5

4291.3*10^5 = (4.2913 * 1000)*10^5

4291.3*10^5 = 4.2913 * 1000*10^5

4291.3*10^5 = 4.2913 * 10^3*10^5

4291.3*10^5 = 4.2913 * 10^(3+5)

4291.3*10^5 = 4.2913 * 10^8

Note: The number 4.2913 * 10^8 expands out to 429,130,000 which is a little over 429 million.

The domain of the function y = 3[x] is (-∞, ∞), which means that the function is defined for all values of x.

A relation is a function if it has only One y-value for each x-value.

The function y = 3[x] is a piecewise function where [x] denotes the greatest integer function or the floor function, which returns the largest integer less than or equal to x.

The domain of the function is the set of all real numbers for which the function is defined.

As the greatest integer function is defined for all real numbers, the domain of the function y = 3[x] is also all real numbers.

Therefore, the domain of the function y = 3[x] is (-∞, ∞), which means that the function is defined for all values of x.

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Answer: D

Step-by-step explanation:

The statement says that the angles GIH and QRS must be the same measurement. To show that on diagrams, we use markings : if angles have the same markings, then it means they have the same measurement.

That way, we just need to see which diagram has the right measurements.

First, the angles GIH and QRS are the angles we see named by the letter in the center : then GIH and QRS.

So it must be the angles with letters of I and R that have the same markings.

A : doesn't work for I and R

B : doesn't work for I and R

C : doesn't work for I and R

D : works for I and R

it should be the D, of course if I didn't see well don't hesitate to make sure it's correct with what I said before :)

Answer:

the answer would be D

Step-by-step explanation:

the answer is D because of the person above me

Answer: [tex]12.39\ kg[/tex]

Step-by-step explanation:

Given

Luis used 590 gm of flour each day

If he continues to use it for 3 weeks

A week has 7 days; so 3 weeks have 21 days

The flour used in 21 days

[tex]\Rightarrow 21\times 590\\\Rightarrow 12,390\ g\ \text{or}\ 12.39\ kg[/tex]

Thus, [tex]12.39\ kg[/tex] of flour is used in 3 weeks

Answer:

ok so 4x-4y=8

4x-4×8=

4x-32

4x-10-32=

-40 -32= -72

Step-by-step explanation:

I think this is right sorry if I'm wrong

Answer:

We need to keep y on the left side only.

so we distribute the 4x to the right side.

that means:

4x - 4y = 8

-4x         -4x

-4y = 8 - 4x

Now we divide by -4 on both sides

y = 8 - 4x/-4

-2 + x is y

Now for number 2:

Let's use -10 for x.

-2 -10 = -12

Answer:

Step-by-step explanation:

Given the value function v(t) = 20000·0.86^t, you want the value after 4 years and 10 years.

Put the value of t in the formula where t is, and do the arithmetic.

The attached calculator output tells us ...

  value after 4 years: $10,940

  value after 10 years: $4,426

__

Additional comment

When you are asked to do the same evaluation with different numbers, it is convenient to process them as a list, or using a spreadsheet.

Given:

The given quadratic polynomial is :

[tex]x^2-x-12[/tex]

To find:

The quadratic polynomial whose zeroes are negatives of the zeroes of the given polynomial.

Solution:

We have,

[tex]x^2-x-12[/tex]

Equate the polynomial with 0 to find the zeroes.

[tex]x^2-x-12=0[/tex]

Splitting the middle term, we get

[tex]x^2-4x+3x-12=0[/tex]

[tex]x(x-4)+3(x-4)=0[/tex]

[tex](x+3)(x-4)=0[/tex]

[tex]x=-3,4[/tex]

The zeroes of the given polynomial are -3 and 4.

The zeroes of a quadratic polynomial are negatives of the zeroes of the given polynomial. So, the zeroes of the required polynomial are 3 and -4.

A quadratic polynomial is defined as:

[tex]x^2-(\text{Sum of zeroes})x+\text{Product of zeroes}[/tex]

[tex]x^2-(3+(-4))x+(3)(-4)[/tex]

[tex]x^2-(-1)x+(-12)[/tex]

[tex]x^2+x-12[/tex]

Therefore, the required polynomial is [tex]x^2+x-12[/tex].

Answer:

Answer:

B

Step-by-step explanation:

If x equals 1/4 then it must be B because:

All the sections are divided into fourths so 1/4 plus 3/4 is 1.

Answer:

342

Step-by-step explanation:

that dude strong

The most he can bench press is 342.

Given: A weightlifter can bench press up to 180% of his body weight. He weighs 190 pounds.

Based on the given conditions, formulate:

Convert 180 % into a decimal and multiply by 190

Convert 180 % into a decimal form: 1.8

Multiply 1.8 by 190

Simplify 1.8 [tex]\times[/tex] 190

= 342

Calculate the product or quotient: 342

The most he can bench press is 342.

The correct answer is 342.

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Answer:

See below.

Step-by-step explanation:

A. f(x) = x² - 8x + 12

E. f(x) = (x - 4)² - 4

F. f(x) = (x - 2)(x - 6)

Answer:

Well yes. So we know that our x intercepts are -2 and postive 3. If we look at the graph, we can see that when y=0, the quadratic is at both -2 and 3 for x.

Step-by-step explanation:

This might not be the full reason why this is the answer, but this is for sure part of why the factored form is correct

Sorry I cannot help more than that! :(

Answer:

26x+32

Step-by-step explanation:

Answer:

1256.64 square feet

Step-by-step explanation:

In this situation, 20 feet is the radius of the circle that is sprayed.

Use the area formula, A = [tex]\pi[/tex]r²

Plug in 20 as the radius and solve:

A = [tex]\pi[/tex]r²

A = [tex]\pi[/tex](20)²

A = 400[tex]\pi[/tex]

This is approximately equivalent to 1256.64

So, the approximate area watered by the sprinkler is 1256.64 square feet

Answer:

The most likely suspect for the hard drive being very active even though the computer is not being used and is not connected to the Internet is malware. Malware is a type of software that is designed to cause harm to a computer system, and it can often run in the background without the user's knowledge.

Answer:

32

Step-by-step explanation:

Answer:

5,10,25,30,35,30,35,40...

Step-by-step explanation:

Multiples of 5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

5,10,15,20,25,30,35,40,45.....

Step-by-step explanation:

just multiply 5 by consecutive natural numbers

plz mark as brainliest

Answer: I think it’s A

Step-by-step explanation:

But go for it

Answer:

No similarity and no scale factor (I could be wrong)

Step-by-step explanation:

Don't worry, no links :)

You would see if they are similar if they have similar sides. so if there is an equal ratio, to both, they are similar. Sometimes they may not look similar until you rotate them. So for the following, you can see that if E were on the bottom, it would look like the triangle with N and M on the bottom you can ensure this to look at the ratios of each side. To find the scale factor, it depends on which way you are going. are you going from GEF to MNL or MNL to GEF? To me, it doesn't look like there is a scale factor, but I could be wrong.