Which slope field is associated with the given differential​ equation?
dydx=x+1
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Part 1
Choose the correct slope field.
A.A coordinate system has a horizontal x-axis labeled from negative 6 to 6 in increments of 2 and a vertical y-axis labeled from negative 6 to 6 in increments of 2. A graph consists of a series of line segments, each of equal length. Line segments along y equals negative 1 have zero slope. Line segments above y equals negative 1 increase in slope the farther away they are from y equals negative 1. Line segments below y equals negative 1 decrease in slope the farther away they are from y equals negative 1.
B.A coordinate system has a horizontal x-axis labeled from negative 6 to 6 in increments of 2 and a vertical y-axis labeled from negative 6 to 6 in increments of 2. A graph consists of a series of line segments, each of equal length. The line segments have slopes that generally follow a parabola that opens upward with vertices that would lie along a vertical line at x equals 4.
C.A coordinate system has a horizontal x-axis labeled from negative 6 to 6 in increments of 2 and a vertical y-axis labeled from negative 6 to 6 in increments of 2. A graph consists of a series of line segments, each of equal length. The line segments have slopes that generally follow a parabola that opens upward with vertices that would lie along a vertical line at x equals negative 1.

Answer:

Step-by-step explanation:

There are a couple of angle relations that apply to these problems.

The measure of arc BC is given as 108°. The measure of central angle BXC is the same:

  x = 108°

Angle BAC is the average of arcs BC and DF:

  (BC +DF)/2 = BAC

  ((12x +15) +(9x -12))/2 = (10x +4)

Multiplying by 2 and collecting terms gives ...

  21x +3 = 20x +8

  x = 5 . . . . . . . . . . subtract 20x+3

∠BAC = 10x +4 = 10(5) +4

∠BAC = 54°

Answer:

slope = 1/3

Step-by-step explanation:

(0,6)

(3,7)

slope = (y2-y1)/(x2-x1)

(7-6)/(3-0)

1/3

The quotient of the division operation is 2x² + 10x - 5.

Divide:

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

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Step-by-step explanation:

1 hour she travels = 19 km

60 min = 1 hr

53 min = 1/60 * 53 hr = 53/60 hr

Now,

1 hr = 19 km

4 + 53/60 hrs = 19 * ( 4 + 53/60) km

She travels 92.78 km in 4 hrs and 53 minutes.

Answer:

A. an = 3(6)^(n-1)

Step-by-step explanation:

1st generation: n = 1:

a1 = 3*6^(1-1) = 3*6^0

= 3

n = 2:

a2 = 3*6^2-1

= 3*6

=18

n = 3

a3 = 3*6^(3-1)

= 3*6^2

= 106.

The solution is Option A.

The geometric progression is given by the equation aₙ = 3 ( 6 )ⁿ⁻¹ , where n is the number of terms

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Let the number of terms be represented as n

Now , the first term a₁ = 3 rabbits

The second term a₂ = 3 x 6 = 18 rabbits

The third term a₃ = 18 x 6 = 108 rabbits

So , the common ratio r = second term / first term

Substituting the values in the equation , we get

Common ratio r = 18/6 = 6

Now , the geometric progression A is given by the equation ,

The nth term of a GP is aₙ = arⁿ⁻¹

Substituting the values in the equation , we get

aₙ = 3 ( 6 )ⁿ⁻¹

Therefore , the value of A is aₙ = 3 ( 6 )ⁿ⁻¹

Hence , the equation is aₙ = 3 ( 6 )ⁿ⁻¹

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Answer:

Hi there!!

Your answer is:

B. 7^8

Step-by-step explanation:

When you divide two numbers that have exponents, you subtract the value of the exponents!

7^12 - 7^ 4

equals (12-4) which is 8!

This method is effective because it breaks down the percentage into smaller parts that are easier to calculate mentally. By finding 5% and 1% separately and then adding them together, you can quickly find the percentage that you need.To find 7% of $1000, there are various mental math methods that one can use. One of the best methods is to use a combination of the 5% and 1% methods. Here's how to do it:

Step 1: Find 5% of $1000
5% of $1000 is $50

Step 2: Find 1% of $1000
1% of $1000 is $10

Step 3: Add the two values together
$50 + $10 = $60

Step 4: Find 1% of $60
1% of $60 is $0.60

Step 5: Multiply $0.60 by 7 to get the final answer
$0.60 x 7 = $4.20

Therefore, 7% of $1000 is $4.20.

This method is effective because it breaks down the percentage into smaller parts that are easier to calculate mentally. By finding 5% and 1% separately and then adding them together, you can quickly find the percentage that you need.

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Answer:

63 degree

Step-by-step explanation:

The total corner of the TV is 90 degrees, so 90-27=63 degrees

Based on the given options, both 3,4,5,6 and 3,4,5,6i could be the complete list of roots for a fourth-degree polynomial. So option 1 and 2 are correct answer.

A fourth-degree polynomial function can have up to four distinct roots. The given options are:

Therefore, both options 1 and 2 could be the complete list of roots for a fourth-degree polynomial.

The question should be:

The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(x)

1. 3,4,5,6

2. 3,4,5,6i

3. 3,4,4+i\(\sqrt{6}\)

4. 3,4,5+i, 5+i, -5+i

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a. the polar coordinate r for point P, with r > 0 and 0 < θ < 180°, is approximately 5.0874. b. the Cartesian coordinates for point P are approximately (-1.4587, 4.8793). c. The curve does not pass through the origin when 0 < θ < 2π.

a) To find the polar coordinate r for point P, we substitute the given angle θ = 161.14° into the equation r = 7 + 2cosθ.

r = 7 + 2cos(161.14°)

Using a calculator, we can evaluate the cosine function:

r = 7 + 2(-0.9563)

r = 7 - 1.9126

r ≈ 5.0874

Therefore, the polar coordinate r for point P, with r > 0 and 0 < θ < 180°, is approximately 5.0874.

b) To find the Cartesian coordinates for point P, we can convert the polar coordinates (r, θ) to Cartesian coordinates (x, y) using the formulas:

x = rcosθ

y = rsinθ

Substituting r = 5.0874 and θ = 161.14° into the formulas, we have:

x = 5.0874cos(161.14°)

y = 5.0874sin(161.14°)

Evaluating the trigonometric functions:

x = 5.0874(-0.2868)

y = 5.0874(0.958)

x ≈ -1.4587

y ≈ 4.8793

Therefore, the Cartesian coordinates for point P are approximately (-1.4587, 4.8793).

c) To determine how many times the curve passes through the origin when 0 < θ < 2π, we need to examine the values of θ for which r = 0. When r = 0, it indicates that the curve passes through the origin.

Setting r = 0 in the equation r = 7 + 2cosθ:

0 = 7 + 2cosθ

Solving for θ, we have:

2cosθ = -7

cosθ = -7/2

The cosine function has values between -1 and 1. Since -7/2 is outside this range, there are no values of θ between 0 and 2π that satisfy the equation, and thus the curve does not pass through the origin.

In conclusion, for the given curve in polar coordinates with r = 7 + 2cosθ, point P has a polar coordinate r ≈ 5.0874 with θ = 161.14°, and its Cartesian coordinates are approximately (-1.4587, 4.8793). The curve does not pass through the origin when 0 < θ < 2π.

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Answer:

x \(\leq\) -6

Step-by-step explanation:

3x - 2 \(\leq\) -20

Solve for x:

3x \(\leq\) -18

x \(\leq\) -6

Answer:

2/5*180=72

360/72=5

as simple as that you just need to read on polygons

Step-by-step explanation:

pls give me brainlyist

The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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Answer:

They are both correct.

Step-by-step explanation:

As we can see, it does not matter whether you plug in x or y in a system of equatins. One thing somebody might be skeptical about in this equation is that one of the equations does not contain a variable. BUT, if reading closer, one can see that both x and y have to be in one of the equations to make the other true.

Hope this helped!

We will see that both Jared and Nicole are correct.

So we know that Jared found an equation:

y = x + 10, then he substituted y for (x + 10) on the other equation, this would be the substitution method, and Jared is correct so far.

We also know that Nicole found the equation:

x = y - 10

And she replaced x by y - 10 on the other equation, she is also correct.

Each one just substituted a different variable, that is why they have different approaches, but in both cases the substitutions are correct.

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The linear equation for their total combined age in 5 years is 2x + 17 = 31.

Let the age of Alex be x years old.

Let the age of June be 'y'.

June is exactly 7 years older than Alex.

y = x+7

In next 5 years, combined  total age will be of 31 years.

(x+5) + (y+5) = 31

Now, the linear equation that models total combined age in 5 years

Replace y with (x+7)

x + 5 + (x+7) + 5 = 31

2x + 17 = 31

Thus, linear equation for their total combined age in 5 years is 2x + 17 = 31.

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Answer: Intersection of A and B = 2

Step-by-step explanation:

Total cards = 52

Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.

Total cards having 6 on them = 4

[There are 4 suits of two different colors red and black.]

Total  black playing card =26

Intersection of A and B = Black cards having 6 = 2

hence, Intersection of A and B = 2

Answer:

\(x\) can be \(3\), \(4\), or \(5\)

Step-by-step explanation:

Let's split the inequality and solve it piece by piece.

Case: \(3<=3x-4\)

We add \(4\) to both sides to get \(7<=3x\).

We divide both sides by \(3\) to get \(7/3<=x\).

So, \(x>=7/3\).

Case: \(3x-4<=2x+1\)

We subtract 2x from both sides to get \(x-4<=1\).

We add \(4\) to both sides to get \(x<=5\).

So, we want to find the integer solutions to \(7/3<=x<=5\).

\(7/3= 2 1/3\), so \(x\) can be \(3\), \(4\), or \(5\).

So, \(x\) can be \(3\), \(4\), or \(5\) and we're done!

Answer:

B

Step-by-step explanation:

the opposite angles of the quadrilateral ABDC are supplementary , that is

∠ BDC + 40° = 180° ( subtract 40° from both sides )

∠ BDC = 140°

Answer:

4 cans of soup and 2 frozen dinners.

Step-by-step explanation:

Let the can of soup = x

Let frozen dinner s = y

Davis wants to the grocery store and purchased cans of soup and frozen dinners.

Each can of soup has 250 mg of sodium and each frozen dinner has 550 mg of sodium.

David Purchased twice as many cans of soup as frozen dinners and they all collectively contain 2100 mg of sodium.

x = 2y

Hence:

250x + 550y = 2100

250(2y) + 550y = 2100

500y + 550y = 2100

1050y = 2100

y = 2100/1050

y = 2

Since

x = 2y

x = 2 × 2

x = 4

Hence,

the can of soup = x = 4

Let frozen dinner s = y = 2

Davis bought 4 cans of soup and 2 frozen dinners.

Answer:

1. D.

2. B.

Step-by-step explanation:

1. D. None of the above.

If the three angles of one triangle are congruent to the three angles of another triangle, the triangles are similar, but there is not enough information to prove they are congruent.

2.

The given information gives us a side and an adjacent angle of each triangle.

Since all choices involve sides, we need another pair of sides to use SAS. The angle must be included by the two sides.

We need sides DF and JH to be congruent.

By knowing that DH is congruent to JF, you add HF to both segments giving DF congruent to JH, and the triangles are congruent by SAS.

Answer: B.

The answer is B. $15,100. The total capital investment in the defender, using the outsider viewpoint is $15,100.What is the outsider viewpoint?

The outsider viewpoint is how much it would cost someone from outside your company to purchase an asset. In this scenario, the outsider viewpoint will be used to determine the capital investment in the defender.

Here's how to go about it: The firm's current automobile (defender) can be sold on the open market for $10,000. Thus, the cost basis of the defender was $12,000 - $10,000 = $2,000 more than the current open market price.

This value ($2,000) is the unamortized value of the defender. To make the defender comparable in continued service to the challenger, your firm would need to make some repairs at an estimated cost of $1,500.

Therefore, the total capital investment in the defender, using the outsider viewpoint, is $10,000 (open market price) + $2,000 (unamortized value) + $1,500 (repair cost) = $15,100. The answer is B. $15,100.What is the unamortized value of the defender?

The unamortized value of the defender is $2,000.The cost basis of the defender was $12,000, and it can be sold on the open market for $10,000.

As a result, the unamortized value is $12,000 - $10,000 = $2,000. The answer is B. $2,000.

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Answer:

n= -1.2

Step-by-step explanation:

I think because if you use slope equation to find the slope which is 3/5 and then you use point slop equation to find out what the equation would be. y=3/5x and then you substitue y for 18 and solve/simplify the equation to get -1.2.

Answer:

It is 5:45

- Fifteen minutes before six

- Fifteen minutes until six

- Fifteen minutes till six

- A quarter before six

- A quarter until six

- A quarter till six

- Eight forty-five

- Forty-five after five

- Forty-five past five

It is 8:15

- A quarter past eight

- A quarter after eight

It is 1:35

- one thirty-five

- thirty-five after one

-  thirty-five past one

It is 9:10

- nine ten

- ten past nine

- ten after nine

It is 11:30

- Half past eleven

- eleven thirty

Answer:

The answer is 1,181. Here is how you divide numbers:

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Step-by-step explanation:

Example division problem:

1) Setup the division problem (84/7).

2) Divide 8 by 7 to get 1. Place this on top of the 8 and the division sign.

3) Multiply 1 and 7 to get 7. Place this under the 8.

4) Subtract 7 from 8 to get 1.

5) Carry down the 4.

6) Divide 14 by 7 to get 2. Place this on top of the 4 and the division sign.

7) Multiply 2 by 7 to get 14.

8) Subtract 14 from 14 to get 0.

So your answer for this example is 12.

Your answer for your problem is 1,181.

Hope this helps!

A student who obtained a percentile rank of 75 on an achievement test is best characterized as having scored higher than 75% of the test takers.

What is percentile rank?

A percentile rank describes a student's performance in relation to other students in the same grade and subject who made up the specific norm group. The percentile rank of a student indicates whether their score was equal to or higher than the percentage of students in the norm group.

The percentage of scores in a frequency distribution that are lower than a given score is known as the percentile rank of that score in statistics.

A percentile rank of 75 indicates that the student outperformed 75% of the other students in his or her norm group, and 25% of the students outperformed your student.

Hence, a student who obtained a percentile rank of 75 on an achievement test is best characterized as having scored higher than 75% of the test takers.

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Two questions about systems aaa and bbb, the given system is:

System aaa: x = -1/3 and y = -7/3
System bbb: x = -1/3 and y = -7/3

To answer two questions about systems aaa and bbb, let's first clarify the given system:

System aaa:
x - 4y = 9

System bbb:
2x + y = -3

Question 1: Solve system aaa.
To solve system aaa, we'll use the method of substitution:

Step 1: Solve one equation for one variable.
From the first equation in system aaa, we can isolate x:
x = 4y + 9

Step 2: Substitute the expression from Step 1 into the other equation.
Substitute the expression for x in the second equation of system aaa:
2(4y + 9) + y = -3

Step 3: Simplify and solve for y.
8y + 18 + y = -3
9y + 18 = -3
9y = -3 - 18
9y = -21
y = -21/9
y = -7/3

Step 4: Substitute the value of y into the expression for x.
Using the first equation in system aaa:
x - 4(-7/3) = 9
x + 28/3 = 9
x = 9 - 28/3
x = (27 - 28)/3
x = -1/3

Therefore, the solution to system aaa is x = -1/3 and y = -7/3.

Question 2: Solve system bbb.
To solve system bbb, we'll use the method of substitution:

Step 1: Solve one equation for one variable.
From the second equation in system bbb, we can isolate y:
y = -2x - 3

Step 2: Substitute the expression from Step 1 into the other equation.
Substitute the expression for y in the first equation of system bbb:
x - 4(-2x - 3) = 9

Step 3: Simplify and solve for x.
x + 8x + 12 = 9
9x + 12 = 9
9x = 9 - 12
9x = -3
x = -3/9
x = -1/3

Step 4: Substitute the value of x into the expression for y.
Using the second equation in system bbb:
y = -2(-1/3) - 3
y = 2/3 - 3
y = 2/3 - 9/3
y = -7/3

Therefore, the solution to system bbb is x = -1/3 and y = -7/3.

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The profit should be greater than or equal to $297 in order for Mr. Chan to make a profit by selling his shares.

To determine the profit Mr. Chan can make by selling his shares, we need to calculate the difference between the selling price and the purchase price of each share and then multiply it by the number of shares sold.

Let's denote the profit as 'p'. The selling price per share is $3.80, and the purchase price per share is $0.50. Mr. Chan has 90 shares.

The profit made from selling the shares can be calculated as:

Profit (p) = Selling Price per Share - Purchase Price per Share

Since Mr. Chan can sell any number of shares (from 0 to 90), we need to multiply the profit per share by the number of shares sold.

The inequality describing the profit Mr. Chan can make by selling his shares is:

p >= (Selling Price per Share - Purchase Price per Share) * Number of Shares

Substituting the given values:

p >= ($3.80 - $0.50) * 90

Simplifying the expression:

\(p\ ^ > _- $ 3.30 * 90\\p\ ^ > _- $297\)

Therefore, the inequality describing the profit Mr. Chan can make by selling his shares is p >= $297. This means that the profit should be greater than or equal to $297 in order for Mr. Chan to make a profit by selling his shares.

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