X to the power of 3 is equal to y to the power of 5

Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.

In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.

Answer: slope is 1 or m=1

Step-by-step explanation:

Answer:

3/8 unit

Step-by-step explanation:

\( \sqrt[3]{ \frac{27}{64} } = \frac{3}{8} \)

Answer:

The length of the cube is 3/4 units.

Step-by-step explanation:

Answer:

i believe its d

Step-by-step explanation:

Answer:

 (b+3)+b=51

"b" is a smaller number, that is 24.

So a larger numer is 27

Step-by-step explanation:

L = b +3

L+b = 51

(b+3) + = 51

2b + 3 = 51 >> subtract 3 to both sides

2b = 48 >> divide by 2 to both sides

b = 24

Larger = b + 3= 24 + 3= 27

The expression 3a² + 10a + 7 can be completely factored as (a + 7)(3a + 1).

The expression 3a² + 10a + 7 can be factored as a product of two binomials.

To factor this expression, we can find two numbers that multiply to 7 and add up to 10. The only pair of numbers that have this property is 1 and 7. So, we can write:

3a² + 10a + 7 = 3a² + 7a + a + 7

= a(3a + 1) + 7(1 + 3a)

= (a + 7)(3a + 1)

Factorization is the process of breaking down a mathematical expression into simpler, more manageable parts. There are various methods to factorize an expression, including:

Grouping: This method involves grouping terms in pairs and then factoring out a common factor.

Difference of Squares: This method involves factoring the expression into the difference of two squares.

Sum or Difference of Cubes: This method involves factoring the expression into the sum or difference of two cubes.

Using Factor Trees: This method involves finding the prime factorization of the expression and then grouping the factors to find the final answer.

Using Identities: This method involves using various mathematical identities to simplify the expression.

It's best to determine the method to use based on the specific expression you're trying to factorize.

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Answer:

14 ft

Step-by-step explanation:

50= 2x + 2(x+3)

50= 2x+2x+6

50=4x+6

-6        -6

44=4x

4     4

x=11 (width) +3 =14(length)  

11+11=22   14+14=28     22+28=50

Step-by-step explanation:

Let the breadth (b) of a rectangle be x

Then Length (L) = 2x

Now

Perimeter of the rectangle = 15 inches

Or, 2(L + b) = 15

2 ( 2x + x) = 15

2* 3x = 15

6x = 15

x = 15 / 6

x = 2.5 inch

Also Now

Length (L) = 2*2.5 = 5 inches

Breadth (b) = 2.5 inches

Hope it will help :)

An appropriate answer of a indefinite integral must include the original integral, the solution of that integral including its integration constant.

A definite integral is an infinitesimal sum derived from a integrable function, that is, a function that exist for all value x within the range of integration.

\(\int {f(x)} \, dx = \lim_{n \to \infty} \sum\limits_{i=0}^{n} f(x) \Delta x + C\)     (1)

Where C is the integration constant.

An appropriate answer of a indefinite integral must include the original integral, the solution of that integral including its integration constant. \(\blacksquare\)

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Answer:

17

Step-by-step explanation:

17000/1000=17

Answer:

15th term = 116

Step-by-step explanation:

a= 4

Sum of an A.P = n/2 {2a + (n-1)d}

sum of first five term is equal to one-fourth of the sum of the next five term

5/2{ 2*4 + (5-1)d} = 1/4 × 10/2{2*4 + (10-1)d

5/2 {8 + 4d} = 1/4 × 5{ 8 + 9d}

40/2 + 20/2d = 1/4{ 40 + 45d)

20 + 10d= 40/4 + 45/4d

20 + 10d = 10 + 45/4d

20 - 10 = 45/4d - 10d

10 =45d - 40d /4

10 = 5/4d

Divide both sides by 5/4

10 ÷5/4 = d

10×4/5 = d

40/5 = d

8 = d

d= 8

Find the 15th term

15th term = a + (n-1)d

= 4 + (15-1)8

= 4 + (14)8

= 4 + 112

= 116

The 15th term is 116

A linear clear variation is represented by the equation y = kx, in which k is the area under the curve y = mx + b and b is the zero-valued y-intercept.

The polynomial y = mx (commonly stylized y = kx), which seems referred to as a direct variation, can be obtained from the theory y = mx + b if m is a sufficiently small factor and b = 0. In other words, you may claim that y directly depends on x or that y is proportionate to x.

The standard format for presenting a direct variation is y=kx. The letters "y" and "x" are variables, and the letter "k" is a constant. Making a table will allow you to identify those ordered pairs that statisfy the example of y=2x.

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10

Step-by-step explanation:

x + 5 = 2x - 5

x + 5 - x = 2x - 5 - x

5 = x - 5

5 + 5 = x

10 = x

Answer:

The value of X is 10

Step-by-step explanation:

X+5=2x-5(corresponding sides of an angle)

5+5=2x-x

10=x

So,x=10

Answer:

  see below for the meaning of a, b, c, k, p, q.

Step-by-step explanation:

You want the minimum value of a quadratic function.

The extreme will be a minimum if the sign of the leading term is positive. It will be a maximum if the sign of the leading term is negative.

The standard form equation of a parabola is ...

  f(x) = ax² +bx +c

The x-coordinate of the extreme value (maximum or minimum) is ...

  x = -b/(2a)

The y-coordinate of the extreme value, the maximum or minimum, is ...

  y = -b²/(4a) +c

The extreme point is (-b/(2a), -b²/(4a) +c).

The vertex form equation of a parabola is ...

  f(x) = a(x -h)² +k

The coordinates of the vertex (extreme point) are (h, k).

The factored form of the equation of a parabola is ...

  f(x) = a(x -p)(x -q)

where p and q are the x-intercepts.

The coordinates of the extreme point are ((p+q)/2, -a/4(p-q)²).

__

Additional comment

As you can see, the way you find the minimum (or maximum) value depends on what you're starting with. In general that value is the y-value of the vertex. We have also shown the x-value of the vertex, because you may be asked for the coordinates of the minimum (or maximum) point.

You may see the quadratic function in other forms. Generally, those forms can be rearranged to one of these forms. Obviously, if you're looking for the vertex, the "vertex form" is the easiest place to start.

The value of 'a' is the leading coefficient in every case.

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To find the minimum value of a quadratic equation, you can use either the vertex formula or completing the square method. The minimum value occurs at the vertex of the parabola.

To find the minimum value of a quadratic equation, you can use either the vertex formula or completing the square method.

Vertex Formula:

Completing the Square:

By using either of these methods, you can find the minimum value of a quadratic equation.

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The amplitude of the resulting wave is determined by the amplitudes of the original waves. As a result, it is difficult to predict what will happen when two waves collide.

When two waves with different wavelengths and heights collide, they create an interference pattern. It is impossible to predict what will happen when two waves with different wavelengths and heights collide because it is influenced by a variety of factors. When two waves interact, their amplitudes are combined. When the crests of the waves meet, they add up to create a larger wave. When two troughs meet, they cancel out, resulting in a smaller wave, or no wave at all. The amplitudes of the waves are also combined.

When two waves with equal amplitudes meet, their amplitudes are added together. When two waves with unequal amplitudes meet, the larger wave will dominate. As a result, the resulting wave may have a different wavelength, height, and amplitude than either of the original waves.What happens when two waves collide is determined by their wavelength and height. When two waves with similar wavelengths and heights collide, they form a larger wave. When two waves with unequal wavelengths and heights collide, they may cancel each other out, or they may create an interference pattern. The interference pattern may be constructive or destructive depending on the phase difference of the waves.  

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63degrees

Step-by-step explanation:

there are multiple ways to do this

for one, angle a = angle e (corresponding angles)

angle f + angle e = 180 degrees (angles on a straight line)

angle f = 180 degrees - angle e where angle e = angle a = 117degrees

so angle f = 63 degrees.

Impoverished members of the South African community face numerous challenges in accessing healthcare services, as outlined in the National Health Insurance (NHI) framework. These challenges include financial barriers, limited infrastructure, geographic disparities, and inadequate healthcare resources.

Financial barriers pose a significant obstacle for impoverished individuals seeking healthcare services. Many of them cannot afford the costs associated with consultations, medications, and treatments, leading to delayed or neglected care. The NHI aims to address this by providing financial protection and ensuring equitable access to healthcare services.

Limited infrastructure in impoverished areas further hinders access to healthcare. Inadequate healthcare facilities and a shortage of medical professionals make it difficult for individuals to receive timely and comprehensive care. The NHI framework seeks to improve infrastructure by investing in healthcare facilities, expanding primary healthcare services, and increasing the number of healthcare professionals in underserved areas.

Geographic disparities also affect access to healthcare. Impoverished individuals in remote or rural areas often face challenges in reaching healthcare facilities due to transportation issues and long distances. The NHI aims to address this by promoting the establishment of healthcare facilities in underserved areas and implementing mobile clinics and telemedicine initiatives to bridge the gap.

Furthermore, inadequate healthcare resources, such as equipment, medicines, and diagnostic tools, impact the quality of care accessible to impoverished individuals. The NHI framework aims to ensure the availability and affordability of essential healthcare resources to improve health outcomes for all South Africans.

In conclusion, impoverished members of the South African community encounter multiple barriers when accessing healthcare services, including financial constraints, limited infrastructure, geographic disparities, and inadequate healthcare resources. The NHI framework aims to address these challenges and promote equitable access to quality healthcare for all citizens.

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The addition of the functions f(x) and g(x) will be ln (2x) + 3 sin(x) – 22. Then the correct option is C.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The functions are given below.

f(x) = ln (2x) – 15

g(x) = 3 sin(x) – 7

Then the addition of the function will be

(f + g)(x) = f(x) + g(x)

(f + g)(x) = ln (2x) – 15 + 3 sin(x) – 7

(f + g)(x) = ln (2x) + 3 sin(x) – 22

Then the correct option is C.

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Answer:

See photo

Step-by-step explanation:

Plato/Edmentum

The balloon that was farther from the town at the beginning, and which traveled more quickly is Henry's balloon.

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

Henry's balloon is 48 miles after 2 hours.

Tasha's balloon after 2 hours will be:

= 8x + 20

= 8(2) + 20

= 32 miles

In this case, Henry's balloon is farther.

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Answer:

2/3

Step-by-step explanation:

start at the first point and count up and then over. it is 2 squares UP, and 3 squares OVER. remember rise over run, rise (2) on top and run (3) on bottom!

Answer:

M = \(\frac{2}{3}\)

Step-by-step explanation:

The two coordinate points given are (2,2) and (-1,0).

We can use the slope formula to find the slope.

\(Slope(m)=\frac{y2-y1}{x2-x1}\)

\(m=\frac{0-2}{-1-2}\)

\(m=\frac{-2}{-3} or \frac{2}3}\)

The translation from A to B is described as-

In mathematics, a translation is the movement of a shape to the left or right and/or up or down. The translated shapes appear to be the exact size as that of the original shape, therefore the shapes are congruent.

Now, according to the question.

Consider the equation for the shifting from A to B  as y = k x+b

The coordinates of the location A and B are-(see the diagram)

A(-3,-1) and  B(0,1)

Thus, A, B into y = k x+b

Substitute the value of A in the equation;

-1 = -3k + b

b = 1  

So, k = 2/ 3

Put value of k in 'y'.

Hence, AB ; y = (2/3)x + 1

Thus, the coin moves thought y = (2/3)x + 1 from x = -3 to x = 0.

In words; Shifting from A to B, the coin moves 3 spaces to the right after that moves 2 space up.

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Answer:

w² + 5w = 36

Step-by-step explanation:

Since the pen is a rectangle, its area, A = lw where l = length and w = width.

Since the length of the fence is 5 feet longer than its width, we have l = w + 5

So, A = lw = (w + 5)w = w² + 5w

Since A = 36 ft², we have that

36 = w² + 5w

w² + 5w = 36

Which is the required equation.

Answer:

B

Step-by-step explanation:

abs value of -9 is still 9, so it should be "="

Answer:

Senior ticket = $10

Child's ticket = $8

Step-by-step explanation:

s = senior ticket

c = child's ticket

We need to write 2 equations, and we have 2 unknowns, s and c.

12s + 12c = 216

12() + 12c = 216

(70 - 5c) + 12c = 216

4 (70 - 5c) + 12c = 216

280 - 20c + 12c = 216

280 - 8c = 216  Add 8c to each side

280 - 8c + 8c = 216 + 8c

280 = 216 + 8c   Subtract 216 from each side.

280 - 216 = 216 - 216 + 8c

280 - 216 = 8c

64 = 8c   Divide each side by 8

64/8 = 8c/8

64/8 = c

8 = c

Now plug c into the first equation and solve for s.

3s + 5c = 70

3s + 5(8) = 70

3s + 40 = 70    Subtract 40 from each side.

3s + 40 - 40 = 70 - 40

3s = 70 - 40

3s = 30  Divide each side by 3

3s/3 = 30/3

s = 30/3

s = 10

So a senior ticket costs $10 and a child's ticket costs $8.

Answer:

x = 18.38

Step-by-step explanation:

sin 45 = 13/x

0.7071 = 13/x

x = 18.38

Based on the information, the person traveled 117.8 feet by the Ferris wheel.

Circumference = π×diameter

Keep the values in formula and perform multiplication to find the circumference of the wheel

Circumference = 50π

On 1 complete revolution of 360 degrees, the distance covered = 50π

So, revolution of 270 degrees, the distance covered will be = (50π/360) × 270

Performing multiplication and division on Right Hand Side of the equation

The distance traveled = 117.8 feet

Hence, the person travelled 117.8 feet.

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There are 120 people in a theatre. 72 are female and 48 are male. 12 females purchase an ice cream and 31 males purchase an ice cream.

Frequency trees display the real frequency of certain events. They can display the same data as a two-way table, but frequency trees are more readable since they illustrate the frequency hierarchy. Probability trees depict the likelihood of a series of occurrences.

Solution:

From the question, we can see the there are 120 people in the theatre.

Since, there are 72 females in the theatre we can find the total number of males by 120-72 = 48

Also, the male who purchased Ice Cream were 36 therefore, the males who did not purchased Ice Cream are 48-36 = 12

And, the females who purchased Ice Cream are 41. So, the female who did not purchased Ice Cream are 72 - 41 = 31

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complete question"

there are 120 people in a theatre 72 are female of these 41 purchase an ice cream 36 males purchase and ice cream use this information to compete the frequency tree

A triangle is dilated with the center of dilation at point U. Point E is a vertex of the triangle and point E ’ is the corresponding vertex of the image. If UE = 2 centimeters and UE ’ = 10 centimeters, the scale factor is 5 cm

Scale Factor Definition

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

By definition, a Dilation is a transformation in which the image has the same shape as the pre-image but size changes.

The center of dilation is a fixed point in the plane, and the scale factor is the ratio of the corresponding sides of the image to the pre-image.

Scale Factor In Geometry

Scale is used in geometry to make accurate reproductions of figures; they are different sizes, but same proportions. Figures are similar but to scale.

Based on the information provided in the exercise, you know that:

UE = 2 centimeters

UE ’ = 10 centimeters

Therefore, you can determine that the scale factor is:

The scale factor for scaling up is a ratio greater than 1

The scale factor for scaling down is a ratio of less than 1

.

Scale factor :  10/2 = 5

Scale factor = 5 cm

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The center of dilation for a triangle is located at point U. The image's point E' corresponds to point E, which is the vertex of the triangle. The scale factor is 5 cm if UE = 2 centimeters and UE'= 10 centimeters.

Define Scale Factor

The ratio between comparable measurements of an object and a representation of that object is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller.

A dilation is, by definition, a transformation in which the size of the image changes but the shape remains the same as the pre-image.

The scale factor is the ratio of the corresponding sides of the image to the pre-image, and the center of dilatation is a fixed point in the plane.

Considering Scale in Geometry

In geometry, scale is utilized to create correct figures that have varying sizes but the same proportions. Similar but scaled figures are shown.

You are aware of the following thanks to the material in the exercise:

2 centimeters equals UE.

10 centimeters equals UE'.

Therefore, you can determine that the scale factor is:

The scale factor for scaling up is a ratio greater than 1

The scale factor for scaling down is a ratio of less than 1

Scale factor :  10/2 = 5

Scale factor = 5 cm

Answer:

The answer is 44

Step-by-step explanation: