In each of 10 and 11, show that the given system has no periodic solutions other than constant solutions. dx dt = 2x 3y xy2, dy dt = y + x3 x2 y

The total cost to laminate the table top is $128.

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides.

The first step is to determine the area of the table top.

Area of a trapezoid = 0.5  x (sum of the lengths of the parallel sides) x height

0.5 x (6 + 10) x 4 = 32 square foot

Now, multiply the area by the cost per square foot

32 x 4 = $128

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The equations of bounded lines of graph are 2y = 5x, x = 6 and y = 1/2x.

It can be observed that the point (0,0) lies in region. So one inequality is,

The point (0,1) does not lies in the region. So point (0,1) does not lie in region if second inequality,

The point (6,0) does not lie in the rigion. So third inequality is,

So possible three inequalities are,

Answer:

you forgot (2,28) :)

Step-by-step explanation:

Answer:

The change in x = Δx =  -1

Step-by-step explanation:

Given the ordered pairs

Here,

Change in x can be calculated by subtracting the value of x₁ = 6 from x₂ = 5.

Change in x = Δx = x₂ - x₁ = 5 - 6 = -1

Thus, the change in x = Δx =  -1

The height of the television transmission tower is approximately 1298 feet.

The height of the television transmission tower, we can use trigonometry and the concept of tangent.

Let's denote the height of the tower as h.

We know the length of the shadow is 1130 feet and the angle formed by the ground and the line from the top of the tower to the tip of the shadow is 48.3 degrees.

The tangent of an angle is defined as the ratio of the opposite side to the adjacent side.

The height of the tower is the opposite side and the length of the shadow is the adjacent side.

Using the tangent function, we can set up the following equation:

tan(48.3°) = h / 1130

To solve for h, we can multiply both sides of the equation by 1130:

1130 × tan(48.3°) = h

Using a calculator, we find:

h ≈ 1130 × 1.1477

≈ 1297.601 feet

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(A) Numbers are a unit in an abstract mathematical system that follow arithmetic principles.

A number is a numerical unit of measurement and labeling in mathematics.

The natural numbers 1, 2, 3, 4, and so on are the first examples.  

Number words are a linguistic way to express numbers.

Most commonly, specific numbers can be represented using symbols known as numerals; for instance, the numeral "5" stands in for the number five.

In an abstract mathematical system, numbers are a unit governed by the rules of arithmetic.

Basic numerals are frequently grouped in a numeral system, which is an ordered manner to represent any number because only a small number of symbols can be learned.

Therefore, (A) numbers are a unit in an abstract mathematical system that follow arithmetic principles.

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Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Total touchdowns = 70

Alvin Kamara: 14 touchdowns

Tom Brady: 35% of the touchdowns:

70 x (35/100) = 75 x 0.35 = 26.25 =26

Deshaun = the rest of the touchdowns:

70-14-26 = 30

Deshaun scored 30 touchdowns

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

Step-by-step explanation:

a = k/m    or       ma = k    

using 4 and 9     4* 9 = k = 36

then the equation becomes:

    ma = 36    

  using a = 6

      6 * m = 36     shows m = 6 kg

Answer:

Hi

Please mark brainliest ❣️

Thanks

Step-by-step explanation:

The answer is NO

Reason

x= 2 y= 1

Now input in the first inequality

y≤ -x + 4

1 ≤ -2 +4

1≤ 2 i.e 1 is less than two

Next inequality

y≤ x +1

1 ≤ 2 + 1

1≤ 3 i.e 1 is less than 3

But 1 is not equal to 3 and also not equal to 2

Hence our answer is NO

The slope of a horizontal line is always zero.

What is slope?

The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are any two points on the line.

The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.

By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:

slope = change in y / change in x = 0 / (any non-zero value of x) = 0

So, the slope of a horizontal line is always zero.

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Answer:

217/31=7. He needs to run 7 miles per day.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

The length of the diagonal of a square with a perimeter of 56 is 14√2.

A diagonal is the longest line that divides a plane shape into two equal parts.

To calculate the length of the diagonal of the square, first we need to find the length of the square using the perimeter formula.

Formula:

Where:

From the question,

Given:

Substitute the value into equation 1 and solve for a

Finally to find the length of the diagonal of the square, we use the formula below

Where:

Substitute into equation 2

Hence, the length of the diagonal is 14√2.

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Answer:

qfewwqeffwqfefewqwqreg

Step-by-step explanation:

Step-by-step explanation:

the height of the prism is the missing side of the triangular "side".

Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

10² = 6² + height²

height² = 10² - 6² = 100 - 36 = 64

height = 8 in

the volume of the prism is now

length × width × height / 2 (due to the triangle "cut" only half of the full "box" remains for this prism).

so we have

14 × 6 × 8 / 2 = 14 × 6 × 4 = 336 in³

Answer:

the median is 12

the mean is 11.16

I believe the answer is:

Median: 12 hours

Mean: 11.2 hours

Hope this helps! :D

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

H+C = 393

H - 57 = C

~~~~~~~~~~~~~~~~

H + H - 57 = 393

2H = 450

H = 225

C = 168

Step-by-step explanation:

Answer:

\(t + \frac{1}{2} = 1 \frac{1}{4} \)

Answer:  Recipe Buses 5 bananas to make 24 muffins. Recipe C uses 11 bananas to make 48 muffins.

Step-by-step explanation:

Answer:

G = 3

Step-by-step explanation:

Answer:

g=3

Step-by-step explanation:

reverse the whole question:

so all the minus would convert into an addition sign

hope that helps

please mark as brainliest if correct

have a great day/night.

thank you

19NBoli

Answer:52.8

Step-by-step explanation:

Answer:

The answer is indeed 52.8

Step-by-step explanation:

Here is proof: I got the same answer.

Answer:

x^-3

Step-by-step explanation:

1 / (x^3)     =   x^(-3)  

Step-by-step explanation:

the area of a parallelogram is

baseline × height = 5 × 3.2 = 16 m²