Help pls is important

Answer:

-3< x ≤ 4

Step-by-step explanation:

There is an open circle at -3, so -3 is not included

There is a closed circle at 4, which means 4 is included

The line is between which means x is between

-3 is less than x which is less than or equal to 4

-3< x ≤ 4

This type of graph is called a segment.

To write the inequality, read the segment from left to right.

We would start with the endpoint on the left which is a -3,

our variable x would be in the middle, and we would finish

things off with the endpoint on the right, which is 4.

Since we have an open dot at -3, we use a less than

sign between the -3 and the x and since we have a closed at 4,

we use a less than or equal to sign between the x and 4.

When representing a segment by reading it from left to right,

you will only use less than or less than or equal to between the parts.

So the solution for the inequality is read {x:  -3  <  x  ≤  4}.

yes you are correct because when you plug 8 into the equation you get (8+3(8))/4

Answer:

7083 KM/H

Step-by-step explanation:

17000 / 2.4 = 7083 (Plus some decimals, but rounded up its 7083.)

To find an angle coterminal with a given angle, we need to add or subtract multiples of 360 degrees until we get an angle between 0 and 360 degrees.

This is because angles that differ by a multiple of 360 degrees have the same terminal side and therefore are coterminal.

For example, if we are given an angle of -245 degrees, we can add 360 degrees to it until we get an angle between 0 and 360 degrees.

-245 + 360 = 115

Therefore, an angle coterminal with -245 degrees is 115 degrees.

Similarly, if we are given an angle of 500 degrees, we can subtract 360 degrees from it until we get an angle between 0 and 360 degrees.

500 - 360 = 140

Therefore, an angle coterminal with 500 degrees is 140 degrees.

Coterminal angles are useful in trigonometry because they have the same values for trigonometric functions such as sine, cosine, and tangent.

Therefore, if we know the values of these functions for an angle, we can use coterminal angles to find their values for other angles.

Additionally, coterminal angles are useful in graphing trigonometric functions, as they allow us to represent a complete cycle of the function within a range of 360 degrees.

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Using the given values, we can calculate the angle of diffraction (θ) and the distance between adjacent bright fringes (y).

To analyze the diffraction of light passing through a narrow slit, we can use the concept of the single-slit diffraction equation:

sin(θ) = (m * λ) / w

Where:

- θ is the angle of diffraction

- m is the order of the bright fringe

- λ is the wavelength of light

- w is the width of the slit

Given:

- Wavelength (λ) = 694 nm = 694 × 10^(-9) m

- Slit width (w) = 7.90 μm = 7.90 × 10^(-6) m

- Distance to the screen (D) = 1.95 mm = 1.95 × 10^(-3) m

First, let's calculate the angle of diffraction (θ):

θ = sin^(-1)((m * λ) / w)

Now, let's calculate the distance between adjacent bright fringes (y):

y = (m * λ * D) / w

Using the given values, we can calculate the angle of diffraction (θ) and the distance between adjacent bright fringes (y).

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Answer:

a) 1/4 = 0.25

b) 1/3 ≈ 0.333

c) 23/11 ≈ 2.090

Step-by-step explanation:

To find the fractions with denominators of powers of 10 that correspond to the given fractions, we express each fraction in their decimal form as follows;

a) 1/4 = 1/10×(10/4) = 1/10 × (2 + 2/4)

1/4 - 2/10 = 2/40 = 1/20

1/4 = 1/100 × (100/4) = 1/100 × 25

1/4 = 25/100 = 0.25

Therefore;

1/4 = 25/10² = 0.25

b) 1/3

1/3 = 1/10 × (10/3)

1/3 = 1/10 × (3  + 1/3)

1/3 - 3/10 = 1/30

The 3/10 with a denominator of 10 is closer to 1/3

Similarly, we get;

1/3 = 1/100 × (100/3) = 1/100 × (33 + 1/3)

1/3 - 33/100 = 1/300

The fraction 33/100 with a denominator of 100 is closer to 1/3

We can also get 1/3 - 333/1000 = 1/3000

Therefore; 1/3 ≈ 333/1000 = 0.333

c) 23/11

23/11 = 1/10 × (230/11) = 1/10 × (20 + 10/11)

23/11 - 20/10 = 10/110

23/11 = 1/100 × (2300/11) = 1/100 × (209 + 10/11)

23/11 - 209/100 = 10/1100 = 1/110

23/11 = 1/1000 × (23000/11) = 1/1000 × (2090 + 10/11)

23/11 - 2090/1000 = 10/11000 = 1/1100

Therefore;

23/11 ≈ 2,090/1,000 = 2.09



To solve the system of equations using the D-operator elimination method, let's start with the given system:

4x' - 5y = (1 - 3)x,
x = x.

To eliminate the D-operator, we differentiate both sides of the first equation with respect to x:

4x'' - 5y' = (1 - 3)x'.

Now, we substitute the second equation into the differentiated equation:

4x'' - 5y' = (1 - 3)x'.

Next, we rearrange the equation to isolate the highest derivative term:

4x'' = (1 - 3)x' + 5y'.

To solve for x'', we divide through by 4:

x'' = (1/4 - 3/4)x' + (5/4)y'.

Now, we have reduced the system to a single equation involving x and its derivatives. We can solve this second-order linear homogeneous equation using standard methods such as finding the characteristic equation and determining the solutions for x.

Note: The D-operator represents the derivative with respect to x, and the D-operator elimination method is a technique for eliminating the D-operator from a system of differential equations to simplify and solve the system.

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The pair of equivalent fractions that could be used to determine the number of players that will attend the camp are 7/10 and 14/20.

Out of ten players that were asked on Michelle's soccer team if they would attend soccer camp, 7 said yes.

In fraction form this is:

= 7 / 10

That is the first equivalent fraction.

There are 20 players on the team in all so 7/10 of the total team is:

= 7/10 x 20

= 14 players

The second equivalent fraction is:

= 14 / 20

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Answer:

QR = 15

Step-by-step explanation:

The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.

(QR+5) *5 = 10^2

(QR+5) *5 = 100

Divide each side by 5.

(QR+5) *5/5 = 100/5

(QR+5)  = 20

Subtract 5 from each side.

QR = 20-5

QR = 15

Theory X assumes that employees are inherently lazy, dislike work, and need to be closely monitored and controlled. On the other hand, Theory Y suggests that employees are self-motivated, enjoy work, and can be empowered to take ownership of their tasks.

Theory X represents a traditional management approach where managers believe that employees need constant supervision and external motivation. According to this theory, employees are inherently lazy and will avoid work if given the chance. They require strict rules, close monitoring, and a system of rewards and punishments to perform their duties effectively.

In contrast, Theory Y promotes a more modern and participative management style. It assumes that employees are self-motivated, seek responsibility, and are capable of making meaningful contributions to the organization. Under Theory Y, managers trust their employees, empower them to make decisions, and provide opportunities for growth and development.

These two theories highlight the different assumptions and approaches that managers can adopt when it comes to understanding and managing their employees. Theory X focuses on control and supervision, while Theory Y emphasizes trust, empowerment, and employee engagement. The choice between these theories can significantly impact the management practices and organizational culture within a company.

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The main difference between theory X and theory Y lies in their assumptions about employee motivation and management approach. Theory X assumes that employees are inherently lazy and need to be closely supervised, while Theory Y assumes that employees are self-motivated and can be trusted to take responsibility.

Theory X and theory Y are two contrasting management theories proposed by Douglas McGregor in the 1960s. These theories describe different assumptions about employees' attitudes towards work and their management.

Theory X:

Theory Y:

Overall, the main difference between Theory X and Theory Y lies in their assumptions about employee motivation and management approach. Theory X assumes a more controlling and authoritarian approach, while Theory Y promotes a more participative and empowering management style.

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Answer:

28%

Step-by-step explanation:

Total capacity the tower holds 1.034 x 10^5  gallons of water

One tower holds 8.4 x 10^3 gallons of water

Other tower holds 9.5 x 10^4 gallons of water

The combined water capacity of the two towers in scientific notation is,

Total capacity the tower holds = 9.5 x 10^4 + 8.4 x 10^3

    = 9.5 x 10^4 + 0.84 x 10^4

    = 10.34 x 10^4

    = 1.034 x 10^5

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The velocity of a particle = i + 2t j

The acceleration of a particle = 2 j

The speed of a particle = \(\sqrt{1 + 4t^{2} }\)

Here,

The position function is, \(r (t ) = ti + t^{2} j +2k\)

We have to find, the velocity, acceleration, and speed of a particle with the given position function.

What is Velocity of a particle with the given position function?

The instantaneous velocity v(t) of a particle is the derivative of the position with respect to time. That is, v(t)=dx/dt.

Now,

The position function is, \(r (t ) = ti + t^{2} j +2k\)

The velocity of a particle = \(\frac{d r(t)}{dt}\)

\(r (t ) = ti + t^{2} j +2k\)

\(\frac{d r(t)}{dt} = i + 2t j\)

The acceleration of a particle = \(\frac{d^{2} r(t)}{dt^{2} }\)

\(r (t ) = ti + t^{2} j +2k\)

\(\frac{d r(t)}{dt} = i + 2t j\)

\(\frac{d^{2} r(t)}{dt^{2} }= 2j\)

The speed of a particle = \(| \frac{d r(t)}{dt}| = |v(t)|\)

\(\frac{d r(t)}{dt} = i + 2t j\)

\(|v(t)|=\sqrt{1 + 4t^{2} }\)

Hence, The velocity of a particle = \(i + 2t j\)

The acceleration of a particle = \(2 j\)

The speed of a particle = \(\sqrt{1 + 4t^{2} }\)

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Answer:

b kno its not right but crown me lol

Step-by-step explanation:

Answer:

biologists have a 14ft john boat with trolling motor for sale or trade for hipnopotomus

The question is incomplete (as there's no attachment to support the question).

However, I'll base my calculations base on the attached diagram to this solution.

Answer:

Shaded Area = 7.722 cm²

Step-by-step explanation:

Given.

Side of the square = 6cm

π = 3.142

Required:

Area of shaded region

First, the area of the square needs to be calculated.

Area of a square = Length * Length

Area = 6cm * 6cm

Area = 36cm²

Then we calculate the area of the circle.

To calculate this, we need to get the radius of the circle.

If the length of the sides of the square is 6 cm, then the diameter of the square is also 6 cm.

Now that we have the diameter, the radius can be calculated.

Radius, R = ½D (where R and D represent radius and diameter, respectively)

So,

R = ½ * 6 cm

R = 3cm

Area of a circle = πr²

Area = 3.142 * 3²

Are = 3.142 * 9

Area = 28.278 cm²

The shaded area is then calculated by subtracting the area of the circle from the area of the square.

Shaded Area = Area of Square - Area of Circle

Shaded Area = 36cm² - 28.278cm²

Shaded Area = 7.722cm²

Hence, the shaded area 7.722 cm²

The question is incomplete (as there's no attachment to support the question).

However, I'll base my calculations base on the attached diagram to this solution.

Answer:

Shaded Area = 7.722 cm²

Step-by-step explanation:

Given.

Side of the square = 6cm

π = 3.142

Required:

Area of shaded region

First, the area of the square needs to be calculated.

Area of a square = Length * Length

Area = 6cm * 6cm

Area = 36cm²

Then we calculate the area of the circle.

To calculate this, we need to get the radius of the circle.

If the length of the sides of the square is 6 cm, then the diameter of the square is also 6 cm.

Now that we have the diameter, the radius can be calculated.

Radius, R = ½D (where R and D represent radius and diameter, respectively)

So,

R = ½ * 6 cm

R = 3cm

Area of a circle = πr²

Area = 3.142 * 3²

Are = 3.142 * 9

Area = 28.278 cm²

The shaded area is then calculated by subtracting the area of the circle from the area of the square.

Shaded Area = Area of Square - Area of Circle

Shaded Area = 36cm² - 28.278cm²

Shaded Area = 7.722cm²

Hence, the shaded area 7.722 cm²

Therefore, each side of the square cereal box is approximately 16.93 cm long, resulting in a surface area of 1718.46 cm².

To find the surface area of a square cereal box, we need to calculate the areas of all six sides and then sum them up. The box has a length, width, and height of 16.9 cm, which means all sides are equal in length. The surface area is given by:

Surface Area = 2 * (Length * Width) + 2 * (Length * Height) + 2 * (Width * Height)

Substituting the values, we get:

Surface Area = 2 * (16.9 * 16.9) + 2 * (16.9 * 16.9) + 2 * (16.9 * 16.9)

Surface Area = 2 * (286.41) + 2 * (286.41) + 2 * (286.41)

Surface Area = 572.82 + 572.82 + 572.82

Surface Area = 1718.46 cm²

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The surface area of a square cereal box with dimensions 16.9 cm x 16.9 cm x 16.9 cm is 1713.66 square cm.

The surface area of a square cereal box can be calculated by finding the area of each of its six faces and then summing them up. Since the length, width, and height of the box are all 16.9 cm, we can use this information to calculate the surface area.

To find the area of each face, we use the formula A = l * w, where A represents the area, l represents the length, and w represents the width.

1. The area of the top and bottom faces is A = 16.9 cm * 16.9 cm = 285.61 square cm each.

2. The area of the front and back faces is also A = 16.9 cm * 16.9 cm = 285.61 square cm each.

3. The area of the left and right faces is A = 16.9 cm * 16.9 cm = 285.61 square cm each.

Now, we can sum up the areas of all six faces to find the total surface area:

285.61 cm² + 285.61 cm² + 285.61 cm² + 285.61 cm² + 285.61 cm² + 285.61 cm² = 1713.66 square cm.

Therefore, the surface area of the square cereal box is 1713.66 square cm.

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Answer:

doop

Step-by-step explanation:

Answer: -∞<x<∞

Explanation: The function has no undefined points or domain constraints.

The probability of a song being played on a single day is 0.5. We need to find the probability of the song being played on 2 days out of 4 days. This can be solved using the binomial probability formula, which is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successful events, p is the probability of success, and (n choose k) is the binomial coefficient. Substituting the values, we get P(X=2) = (4 choose 2) * 0.5^2 * 0.5^2 = 0.375. Therefore, the probability that this song will be played on 2 days out of 4 days is 0.375.

The problem can be solved using the binomial probability formula because we are interested in finding the probability of a particular event (the song being played) occurring a specific number of times (2 out of 4 days) in a fixed number of trials (4 days).

We use the binomial probability formula P(X=k) = (n choose k) * p^k * (1-p)^(n-k) to calculate the probability of k successful events occurring in n trials with a probability of success p.

In this case, n=4, k=2, p=0.5. Therefore, P(X=2) = (4 choose 2) * 0.5^2 * 0.5^2 = 0.375.

The probability that a particular song will be played on 2 days out of 4 days at radio station wmzh is 0.375 or 37.5%.

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The area of the shaded region is 7.63 m².

The area of the shaded region is calculated as follows;

area of the shaded region = area of circle - area of quadrilateral

The diameter of the circle is calculated as follows;

d² = 3² + 4²

d² = 25

d = √ (25)

d = 5

The radius of the circle = 5/2 = 2.5 m

Area of the circle = πr² = π (2.5)² = 19.63 m²

Area of shaded region = 19.63 m² - (3 m x 4 m) = 7.63 m²

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Answer:

Step-by-step explanation:

length of Legs of the right angle triangle = 22 (unit) and 26 (unit)

To find the length of hypotenuse of the right angle triangle, we have to use Pythagoras property

Lets keep hypotenuse as "h" and one leg as  "a" and another as "b"

\(a^{2}\) + \(b^{2}\) = \(h^{2}\)

\(22^{2}\) + \(26^{2}\) = \(h^{2}\)

484 + 676 = \(h^{2}\)

\(h^{2}\) = 1,160

h = \(\sqrt{1,160}\)

h = 34.05 (unit)

To solve this question, we need to find the formula for the nth term of the geometric sequence. The formula is:

Where:

a_n is the nth term of the sequence

a_1 is the first term of the sequence

r is the common ratio

In this case:

a_1 8

r = 2/3

The answer is:

256/243

The given positive integer gives a remainder of 4 when divided by 5, and gives a remainder of 2 when divided by 5. This means that the integer can be expressed in the form of 5n+4 and 5m+2, where n and m are integers.

To explain further:  Let's call the positive integer in question "x". Here the x gives a remainder of 4 when divided by 5, which means that it can be written in the form:x = 5a + 4 where "a" is some integer.                                                                                       Similarly, we know that x gives a remainder of 2 when divided by 5, which means that it can also be written in the form:x = 5b + 2 where "b" is some integer.                                                                                                                               We want to find the remainder that x gives when divided by 5, which is equivalent to finding x modulo 5.                              To do this, we can set the two expressions for x equal to each other:5a + 4 = 5b + 2. Subtracting 4 from both sides gives: 5a = 5b - 2.                                                                                                                                                                    Adding 2 to both sides and dividing by 5 gives:a = b - 2/5. Since "a" and "b" are integers, we know that "b - 2/5" must also be an integer. The only way this can happen is if "b" is of the form:b = 5c + 2where "c" is some integer. Substituting this into the expression for "a" gives:a = (5c + 2) - 2/5

= 5c + 1Therefore, we can write x in terms of "c":x = 5b + 2

= 5(5c + 2) + 2

= 25c + 12So, x gives a remainder of 2 when divided by 5.

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The option that could be true if the variation relationship stays the same is; B: The product of c and b must be tripled.

The parameter given show us that quantity a varies directly with b and c and inversely with d.

This can be expressed as;

a ∝ bc/d

Now, we are told that the quantity of d is tripled. What this means is that d is multiplied by 3 and we can express the variation as;

a ∝ bc/3d

Now, since a is directly proportional to bc, it also means that if we multiply bc by 3, we must multiply a by 3 and as such the product of bc could also be tripled.

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Answer:

B. The product of c and b could be tripled.

Step-by-step explanation:

The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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In a right triangle where angle BAC is 90°, and given the lengths AB = 4.4 mm and CA = 4.7 mm, the length of BC, is approximately 6.3 mm which is found using the Pythagorean theorem.

In a right triangle, the Pythagorean theorem states that the square of the length of the hypotenuse (BC) is equal to the sum of the squares of the lengths of the other two sides (AB and CA).

Using the given values, AB = 4.4 mm and CA = 4.7 mm, we can apply the Pythagorean theorem to find BC. The equation is:

\(BC^{2}\)= \(AB^{2}\) + \(CA^{2}\)

Substituting the values, we have:

\(BC^{2}\)= \(4.4 mm^{2}\) +\(4.7 mm^{2}\)

\(BC^{2}\) = 19.36 \(mm^{2}\) + 21.81 \(mm^{2}\)

\(BC^{2}\) = 41.17 \(mm^{2}\)

Taking the square root of both sides to solve for BC, we get:

BC ≈ √41.17 mm

BC ≈ 6.411 mm (rounded to three decimal places)

Rounding to one decimal place, the length of BC is approximately 6.3 mm.

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Answer:

442

Step-by-step explanation:

The volumes of the solids formed by revolving the given region about the specified lines are as follows:

a) Volume = π∫[a,b] (16 – x^2)^2 dx, where a = -5 and b = 0.

b) Volume = π∫[a,b] (32 – y)^2 dy, where a = 0 and b = 16.

c) Volume = π∫[a,b] (8^2 – x)^2 dx, where a = 0 and b = 16.

a) To find the volume when revolving about y = -5, we integrate the squared equation of the given region (y = 16 – x^2) with respect to x from -5 to 0.

b) When revolving about y = 32, we integrate the squared equation (y = 16 – x^2) with respect to y from 0 to 16.

c) Finally, when revolving about x = 8, we integrate the squared equation (y = 16 – x^2) with respect to x from 0 to 16.

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