I need help knowing if this is a function or not

The answer is 1.4

In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.

Given here:

2.6-1.2=1.4

Hence, The answer is 1.4

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The sign that makes the statement true is < (less than): 1/3 < 2/3.

In mathematics, an inequality is a mathematical expression that shows the relationship between two values or quantities, usually indicating which value is greater than, less than, or equal to the other. Inequalities are represented by the symbols < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to). For example, x < y means x is less than y, and x ≥ y means x is greater than or equal to y. Inequalities can also involve variables, and can be solved to find the range of values that make the inequality true.

Here,

The statement 1/3 < 2/3 means that the value of 1/3 is less than the value of 2/3. In other words, when we compare the two fractions, we find that 2/3 is larger than 1/3.

To understand this better, we can think of a whole object (e.g. a pizza) that we want to divide into three equal parts. If we take only one of those parts, that would be represented by the fraction 1/3. On the other hand, if we take two of those equal parts, that would be represented by the fraction 2/3. Therefore, 2/3 is a larger fraction than 1/3, which is why the sign < (less than) makes the statement true.

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Answer:

3x + 3

Step-by-step explanation:

yeah-ya........ right?

Answer:

111

Step-by-step explanation:111

The total area covered by the Dog will be 314 square meters.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that a rectangular building is 4 meters by 6 meters. A dog is tied to a rope that is 10 meters long, and the other end is tied to the midpoint of one of the long sides of the building.

The dog will cover the circular area with a radius of 10 meters around the building.

The area will be calculated as:-

Area covered by the dog = πr²

Area covered by the dog = π x ( 10 )²

Area covered by the dog = 314 square meters

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The equation of line passes through the point (4, 1/3) will be;

⇒ y = 3/4x - 8/3

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (4, 1/3).

And, The slope of the line is,

⇒ m = 3/4

Now,

Since, The equation of line passes through the point (4, 1/3).

And, Slope of the line is,

m = 3/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 1/3 = 3/4 (x - 4)

⇒ y - 1/3 = 3/4 (x - 4)

⇒ y - 1/3 = 3/4x - 3

⇒ y = 3/4x - 3 + 1/3

⇒ y = 3/4x - 8/3

Therefore, The equation of line passes through the point (4, 1/3) will be;

⇒ y = 3/4x - 8/3

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Answer:

There are 9 marbles in the bag. We pick 2 without replacement and get a probability of 1/6.

Each draw of a marble has a probability associated with it. Multiplying these gives 1/6 so let us assume the probabilities are (1/3) and (1/2).

In order for the first draw to have a probability of 1/3 we need to draw a color that has (1/3)(9)=3 marbles. So let's say there are 3 red marbles. The P(a red marble is drawn) = 1/3.

Now that a marble has been drawn there are 8 marbles left. In order for the second draw to have a probability of 1/2 we must draw a color that has (1/2)(8) = 4 marbles. So let's say there are 4 blue marbles out of the 8.

Since there are 9 marbles to start and we have 3 red marbles and 4 blue marbles, the remaining 2 marbles must be a different color. Let us say they are green.

The problem is: There are 3 red marbles, 4 blue marbles and 2 green marbles in a jar. A marble is picked at random, it's color is noted and the marble is not replaced. A second marble is drawn at random and its color noted. What is the probability that the first marble is red and the second blue?

Answer:

B. 32

Step-by-step explanation:

instead of X in the equation put 3, you will get the answer as 32.

hope it helps!

Answer:

B. 32

Step-by-step explanation:

\(f(x) = \frac{1}{2} \bigg( {4} \bigg)^{x} \\ \\ plug \: x = 3 \\ \\ f(3) = \frac{1}{2} \bigg( {4} \bigg)^{3} \\ \\ f(3) = \frac{1}{2} \times 64 \\ \\ f(3) = 32\)

31. A graph of the square after a dilation by a scale factor of 1/2 is shown below.

32. The coordinates for both the preimage and image are shown below.

A (-9, 9)      A' (-4.5, 4.5).

B (-2, 9)       B' (-1, 4.5).

C (-2, 1)        C' (-1, 0.5).

D (-9, 1)        D' (-4.5, 0.5).

In Geometry, a dilation is a type of transformation that is typically used for changing the dimension (size) of a geometric figure, but not its shape.

Question 31 and 32.

In this scenario, we would have to dilate the coordinates of the pre-image (square ABCD) by using a scale factor of 1/2 centered at the origin in order to produce square A'B'C'D' as follows:

Coordinate A (-9, 9)        →      A' (-9 × 1/2, 9 × 1/2) = A' (-4.5, 4.5).

Coordinate B (-2, 9)        →      B' (-2 × 1/2, 9 × 1/2) = B' (-1, 4.5).

Coordinate C (-2, 1)        →      C' (-2 × 1/2, 1 × 1/2) = C' (-1, 0.5).

Coordinate D (-9, 1)        →      D' (-9 × 1/2, 1 × 1/2) = D' (-4.5, 0.5).

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9514 1404 393

Answer:

  x = {-0.5-√1.25, -0.5+√1.25, 2, -0.5+i√0.75, -0.5-i√0.75}

Step-by-step explanation:

I like to use a graphing calculator to find clues as to the roots of higher-degree polynomials. Here, we see that x=2 is the only real rational root. Dividing that out by synthetic division, we see the remaining quartic factor is ...

  2x^5 -6x^3 -4x^2 -2x +4 = 0

  2(x -2)(x^4 +2x^3 +x^2 -1) = 0

We can recognize that the quartic factor is actually the difference of two squares:

  x^4 +2x^3 +x^2 -1 = (x^2 +x)^2 -1 = 0

So it resolves to two quadratic factors.

  (x^2 +x +1)(x^2 +x -1) = 0

One will have real roots, as shown by the graph. The other will have complex roots.

  x^2 +x + 1/4 = 1 +1/4 . . . . complete the square for the factor with real roots

  (x +1/2)^2 = 5/4

  x = -1/2 ± √(5/4) . . . . . . irrational real roots

__

  x^2 +x = -1 . . . . . . . . . . the quadratic factor with complex roots

  (x +1/2)^2 = -1 +1/4 . . . complete the square

  x = -1/2 ± i√(3/4) . . . . irrational complex roots

__

In summary, the values of x that satisfy the equation are ...

 x = 2

  x = -1/2 ± √(5/4)

  x = -1/2 ± i√(3/4)

Answer:

Then the area of the triangle is 240 m²

Step-by-step explanation:

Area of a triangle:

The area of a triangle is given by the multiplication of its height and altitude, divided by 2.

In this question:

Base = 24m, altitude = 20m. So

\(A = \frac{24*20}{2} = 24*10 = 240\)

Then the area of the triangle is 240 m²

The angle of rotation for the described transformation is

The movement or transformation described is form quadrant 4 to quadrant  2.

The transformation will require 180 degrees transformation.

In this type of transformation, both clockwise and the counter clockwise have similar effects

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Step 1

Write the system of equations required to solve the problem

Step 2

Find the value of x using the substitution method

Find the value of y from equation 2

Substitute for y as seen above in equation 1

Step 3

Find the value of y by substituting for x in equation 2

Therefore,

The answer is, therefore, option C

The solution to the inequality is x >= -2 for inequality 3x-5≥-11

The given inequality is 3x-5≥-11

Three times of x greater than or equal to minus eleven

x is the variable

3x - 5≥ -11:

Adding 5 to both sides, we get:

3x ≥ -6

Dividing both sides by 3, we get:

solution is  x≥-2

Therefore, the solution to the inequality is x >= -2.

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The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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a) the Central Limit Theorem conditions are met. b) The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c) . A 90% confidence interval would be wider than the 95% interval

To verify the Central Limit Theorem (CLT) conditions, we need to check the following:

1. Random Sampling: The survey states that 800 adults were randomly selected, which satisfies this condition.

2. Independence: We assume that the responses of one adult do not influence the responses of others. This condition is met if the sample is collected using a proper random sampling method.

3. Sample Size: To apply the CLT, the sample size should be sufficiently large. While there is no exact threshold, a common rule of thumb is that the sample size should be at least 30. In this case, the sample size is 800, which is more than sufficient.

Therefore, the Central Limit Theorem conditions are met.

b. To find a 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views, we can use the formula for calculating a confidence interval for a proportion:

CI = p ± z * √(p(1-p)/n)

where:

- p is the sample proportion (82% or 0.82 in decimal form).

- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.

- n is the sample size (800).

Calculating the confidence interval:

CI = 0.82 ± 1.96 * √(0.82(1-0.82)/800)

CI = 0.82 ± 1.96 * √(0.82*0.18/800)

CI = 0.82 ± 1.96 * √(0.1476/800)

CI = 0.82 ± 1.96 * √0.0001845

CI ≈ 0.82 ± 1.96 * 0.01358

CI ≈ 0.82 ± 0.0266

The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c. A 90% confidence interval would be wider than the 95% interval. The reason is that as we increase the confidence level, we need to account for a larger margin of error to be more certain about the interval capturing the true population proportion. As a result, the interval needs to be wider to provide a higher level of confidence.

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Answer:

c = 7

Step-by-step explanation:

Isolate the variable c. Note the equal sign, what you do to one side, you do to the other.

First, add 5c to both sides of the equation:

-6c (+5c) = -7 - 5c (+5c)

-6c + 5c = -7

-c = -7

Isolate the variable, c. Divide -1 from both sides of the equation:

(-c)/-1 = (-7)/-1

c = -7/-1

c = 7

c = 7 is your answer.

~

Team Tackle's score was 28 points. And team Sack's score was 9 points.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

During the 2005 football season, Team Tackle beat Team Sack by 19 points. If their combined scores totaled 37.

Let 'x' be the Tackle's score and 'y' be the Sack's score. Then the equations are given as,

x + y = 37        ...1

x = y + 19        ...2

From equations 1 and 2, then we have

y + 19 + y = 37

2y = 18

y = 9

Then the value of 'x' is given as,

x = 9 + 19

x = 28

Team Tackle's score was 28 points. And team Sack's score was 9 points.

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The result is 16, which matches the information given in the problem. Thus, our solution is correct. Thao originally had 30 coins.

Let's solve this problem step by step.

Let's assume the number of coins Thao originally had is x.

According to the problem, Thao gives two fifths of her coins to her sister. Two fifths of x can be represented as (2/5)x.

After giving away two fifths of her coins, Thao receives 4 coins for her birthday. So, the number of coins she has now is (2/5)x + 4.

The problem states that she now has 16 coins. Therefore, we can set up the following equation:

(2/5)x + 4 = 16

To solve for x, we need to isolate x on one side of the equation. We can start by subtracting 4 from both sides:

(2/5)x = 16 - 4

(2/5)x = 12

To get rid of the fraction, we can multiply both sides of the equation by 5:

5 * (2/5)x = 5 * 12

2x = 60

Next, divide both sides of the equation by 2 to solve for x:

(2x)/2 = 60/2

x = 30

Therefore, Thao originally had 30 coins.

To verify our answer, we can substitute x = 30 back into the equation (2/5)x + 4 and see if it equals 16:

(2/5) * 30 + 4 = 12 + 4 = 16

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Answer:

0.0062

Step-by-step explanation:

Find the standard error.

σ = 20 / √100

σ = 2

Find the z-score.

z = (x − μ) / σ

z = (70 − 65) / 2

z = 2.5

Find the probability.

P(Z > 2.5) = 1 − 0.9938

P(Z > 2.5) = 0.0062

Answer:

The first part is 5

The maximum it can be is 200

Step-by-step explanation:

Because I said So

Sofie will not make a profit if she sells her scarves for $5 or less.

The maximum profit Sofie can make is $200.

A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

According to the given problem,

y = (x - 5)(50 - 2x)

⇒ y + (-(x - 5)(50 - 2x) = (x - 5)(50 - 2x) + (-(x - 5)(50 - 2x)

⇒ y - (x - 5)(50 - 2x) = (x - 5)(50 - 2x) - (x - 5)(50 - 2x)

⇒ y - (x - 5)(-2x + 50) = 0

⇒ y - (-x *2x + x*50 + 5*2x -5*50) = 0

⇒ y - ( -2x² + 50x + 10x - 250) = 0

⇒ y - ( - 2x² + 60x - 250 ) = 0

⇒ y + 2x² - 60x + 250 = 0

⇒ 2x² -60x + y + 250 = 0

⇒ ( 2x² - 60x ) + y + 250 = 0

⇒ 2 ( x² - \(\frac{60}{2}\)x) + y + 250 = 0

⇒ 2 ( x² - \(\frac{2^{2} *3*5}{2}\)x) + y + 250 = 0

⇒ 2 ( x² - 30x ) + y + 250 = 0

⇒ 2( x² + 2(-15)x + 225 -225 +y + 250 = 0

⇒ 2( x - 15 )² + 2(-225) + y + 250 = 0

⇒ 2( x - 15 )² + y = -2(-225) - 250

⇒ 2( x - 15 )² + y = 450 - 250

⇒ 2( x - 15 )² + y = 200

⇒ y = -2( x - 15 )² + 200

This equation is in the form of y =  a(x - h)² + k where the vertex of the parabola is (h , k).

Therefore the vertex of the parabola is at (15 , 200)

Hence, we can conclude that Sofie will maximum profit of $200 if she sells a scarf at 15$ and will make the least profit if she sells the scarf at $5 or less.

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1. is 3/5 2. is 1/5 I can't figure out the third one, sorry

It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.

The type of diagram that we need to use depends on the number of variables that we have.

That is the main reason, for example:

x > 2

Is graphed on a number line.

y > 3x + 4

is graphed on a coordinate plane.

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The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

Here, we have,

given that,

the expression is:

4x^2 - 4

now, we have to simplify this.

we know that ,

The a^2 - b^2 formula is also known as "the difference of squares formula". The a square minus b square is used to find the difference between the two squares without actually calculating the squares.

It is one of the algebraic identities.

It is used to factorize the binomials of squares.

The a^2 - b^2 formula is given as:

a^2 - b^2 = (a - b) (a + b).

so, we have,

4x^2 - 4

= (2x)^2 - 2^2

= (2x -2 ) (2x+2)

Hence, The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

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Answer: True

Step-by-step explanation:

There are two pairs of congruent angles, meaning the triangles are similar by AA.

It is true that based on the given information triangle RST is similar to triangle UVW by the AA similarity postulate.

Similar triangles are triangles that have the same shape but are different in size. More specifically, two triangles are similar if their corresponding angles are congruent and their corresponding sides are in proportion.

Here,
Since a figure is given with two triangles, RST and UVW.
From the figure, we can see that there are two angles that are equal, are given as;

∠R=∠U    [measure is 67°]

∠T=∠W    [measure is 90°]

Thus, it is true that based on the given information triangle RST is similar to triangle UVW by AA similarity postulate.

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Answer:

4. 1), 2), 4) are true

5. x = 7

Step-by-step explanation:

In question 4.

1), 2), and 4) are true

Triangles ABD and CBD are congruent by AAS. Then by CPCTC, 1) and 4) are true. 2) is true by definition of altitude and all right angles are congruent.

5.

Your drawing is good.

Since IF is a median, then IE = IG = (1/2)GE

IE = (1/2)GE

x + 6 = (1/2)(3x + 5)

2x + 12 = 3x + 5

-x = -7

x = 7

The equation which represents the relationship between X values and Y values can be found by deriving the equation of line using slope intercept form. The equation of line is 3x - 5y = 25.

How to find equation of line using slope intercept form?

Equation of line using slope intercept form is y = mx + b

where m is slope of the line and b is y-intercept

The slope intercept can be used to form equation of line using two points on the line.

According to the given question:

The two points which lie on the line are (x, y) = (5, -2) and (x', y') = (0, -5)

Slope of the line m = y' - y/x' - x

                               = (-5 +2)/(0 - 5)

                               = 3/5

Now y intercept b = y - mx

                              = -2 - (3/5. 5)

                              = -5

Therefore the required equation of line is y = 3/5x - 5

On simplifying further 3x - 5y = 25

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Answer:

how many people are there, does it say?

Step-by-step explanation:

Answer: 78 ounces of dough

Step-by-step explanation:

You bought 78 ounces of dough and 52 ounces of sauce

An earthquake that has an intensity of 1000 cm has a magnitude of 7.

The most typical way to gauge an earthquake's size is by its magnitude. No matter where you are or how violent the shaking is, it is the same number since it represents the size of the earthquake's source.

Given, Japan had an earthquake in May 2003 with a magnitude of 1000 cm.

To find the magnitude, use the formula

M = log(I/S)

Where,

"I" is the intensity of the earthquake,

And S is the standard intensity of the earthquake

Since,

I = 1000 cm

S = 10⁻⁴ cm

Thus,

M = log(1000/10⁻⁴)

M = log(10⁷)
M = 7 log(10)

M = 7

Therefore,

An earthquake that has an intensity of 1000 cm has a magnitude of 7.

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