Which graph shows the correct representation of {x | x ≤ 5}? A number line going from 4 to 6. An open circle appears at 5. The number line is shaded between 4 and 5. A number line going from 4 to 6. An open circle appears at 5. The number line is shaded between 5 and 6. A number line going from 4 to 6. A solid circle appears at 5. The number line is shaded between 4 and 5. A number line going from 4 to 6. A solid circle appears at 5. The number line is shaded between 5 and 6.

Answer:

Jordan needs to fly at least 22 times and less than 50 times to attain Gold Status.

Step-by-step explanation:

Let n be the number of flights Jordan needs to attain Gold status

[tex]\frac{8800}{400}\leq n < \frac{20000}{400} \\22\leq n < 50[/tex]

Answer:

Step-by-step explanation:

To answer this problem, you're just looking to see in how many places the 2 graphs intersect each other. They only intersect at one place, so the answer is 1.

Answer: 1

Step-by-step explanation:

See image for curve.

The only time the functions are equal are when they intersect

YOu can see from your picture that you only cross paths once.

So your answer, there is only 1 value

Answers:

Problem 1 is x = 20

Problem 2 is x = 20

---------------------------------------------------------

Work Shown for problem 1 (on the left)

0.5*((x+50) + (6x-70)) = 3x

0.5*(7x-20) = 3x

3.5x-10 = 3x

3.5x-3x = 10

0.5x = 10

x = 10/0.5

x = 20

-------------------

Work Shown for problem 2 (on the right)

0.5*( (2x+10)+(4x) ) = 65

0.5*(6x+10) = 65

3x+5 = 65

3x = 65-5

3x = 60

x = 60/3

x = 20

It is a coincidence that we got the same result as before.

-------------------

Explanation:

The two chords of a circle intersect at a point that is not necessarily the center of the circle. The chords form two opposite arcs. Adding up the arc measures and dividing by 2 will give the angle between the chords.

The formula is

C = (A+B)/2

where A and B are the arc measures. C is the angle between the arcs. Dividing by 2 is the same as multiplying by 0.5

Answer:

1st : x=20°

2nd x=20°

Step-by-step explanation:

We know that:

Angles between intersecting chords theorem: States that:

The Angles between Intersecting Chords Theorem states that the measure of an angle formed by two chords that intersect inside a circle is equal to the arithmetic mean of the measures of the two intercepted arcs.

By using this

1st one

3x°=((x+50)°+(6x-70)°)/2

6x°=x+50+6x-70

6x=7x-20

20=7x-6x

x=20°

For 2nd

65°=((2x+10)°+4x°)/2

65*2=2x+10+4x

130=6x+10

130-10=6x

6x=120

x=120/6

x=20°

Answer:

y = -6x + 18 is y = 1/6x - 5 in slope-intercept form.

Step-by-step explanation:

o find the equation of a line perpendicular to another line, we need to determine the negative reciprocal of the slope of the given line.

The given line has a slope of -6. The negative reciprocal of -6 is 1/6. Therefore, the slope of the line we are looking for is 1/6.

Now, we have the slope (m) and one point (6, -4) through which the line passes. We can use the point-slope form of the equation to find the equation of the line:

y - y1 = m(x - x1)

where (x1, y1) is the given point, and m is the slope.

Substituting the values, we have:

y - (-4) = 1/6(x - 6)

Simplifying:

y + 4 = 1/6x - 1

y = 1/6x - 1 - 4

y = 1/6x - 5

Therefore, the equation of the line passing through (6, -4) and perpendicular to y = -6x + 18 is y = 1/6x - 5 in slope-intercept form.

Answer: 12 + 4a -3a +6 => a + 18

The two triangles are not similar. Hence, option A (The triangles are not similar) is the correct answer. The similarity statement is not applicable here as the Triangles are not similar. Hence, options B, C, and D are incorrect.

Given two triangles AABC and AFHG, the task is to determine if they are similar or not. If they are similar, then write the similarity statement.

We can determine if the two triangles are similar by checking if their corresponding angles are equal and their corresponding sides are in proportion or not. If all the corresponding angles of the two triangles are equal, then the triangles are similar. If two corresponding angles of the two triangles are equal, then the third angle will automatically be equal by the angle sum property of a triangle.

Therefore, in this case, we only need to check if the corresponding sides of the triangles are in proportion or not. We can use the side-side-side (SSS) similarity theorem for this purpose.

According to the SSS similarity theorem, if the corresponding sides of two triangles are in proportion, then the triangles are similar. That is, if AB/DE = BC/EF = AC/DF, then ΔABC ~ ΔDEF.Now let's look at the two triangles AABC and AFHG. It can be observed that the two triangles do not have any corresponding sides that are in proportion.

Therefore, the two triangles are not similar. Hence, option A (The triangles are not similar) is the correct answer. The similarity statement is not applicable here as the triangles are not similar. Hence, options B, C, and D are incorrect.

For more questions on Triangles .

https://brainly.com/question/29782809

#SPJ8

Answer:

The radius is 4cm.

Step-by-step explanation:

Formula: V = πr²h

Given:

V = 64π cm²

h = 4 cm

Asked: radius 'r'

Solve for the value of radius:

V = πr²h

64π = πr²(4)

64π = 4πr²

Divide both sides by 4π

64π/4π =4πr²/4π

16 = r²

Extract the square root

r = +-4

Take only the positive value as we're dealing with dimensions

r = 4cm

Lines y = -2x + 8 and y = -x + 5 intersect the y-axis. Option C

To determine the solution to the system of equations, we need to find the point of intersection between the two lines.

The given system of equations is:

y = -2x + 8 ... (Equation 1)

y = -x + 5 ... (Equation 2)

To find the point of intersection, we can set the two equations equal to each other:

-2x + 8 = -x + 5

Simplifying the equation, we get:

-x = -3

Dividing both sides by -1, we find:

x = 3

Now, we can substitute this value of x into either Equation 1 or Equation 2 to find the corresponding value of y.

Using Equation 1:

y = -2(3) + 8

y = 2

Therefore, the point of intersection of the two lines is (3, 2).

Now, let's analyze the given options:

a) Line y = -2x + 8 intersects the origin.The origin is (0, 0), and it does not lie on the line y = -2x + 8. Therefore, option a is incorrect.

b) Lines y = -2x + 8 and y = -x + 5 intersect the x-axis.

The x-axis is the line y = 0. Substituting y = 0 into both equations, we find that they do not intersect the x-axis. Therefore, option b is incorrect.

c) Lines y = -2x + 8 and y = -x + 5 intersect the y-axis.

The y-axis is the line x = 0. Substituting x = 0 into both equations, we find that they do intersect the y-axis. Therefore, option c is correct.

For more such questions on intersect visit:

https://brainly.com/question/30915785

#SPJ8

The measure of the angle ∠8 is 137 degrees and the angles relationship is same side exterior angles.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's use the angle relationship to find the angle ∠8 in the parallel lines as follows:

Therefore,

∠2 = 43 degrees

Hence, ∠2 and ∠8 are same side exterior angles which makes them supplementary angles.

Therefore,

∠8 = 180 - 43

∠8 = 137 degrees

learn more on angles here: https://brainly.com/question/12208707

#SPJ1

Answer:

  -0.67

Step-by-step explanation:

You want the z-score such that the area to the left of it under a normal distribution curve is 0.25.

The inverse normal function of a calculator or spreadsheet will give you that Z-score.

  invNorm(0.25) ≈ -0.67

<95141404393>

Answer:

2,100 + 60 + 15

Step-by-step explanation:

line 2 = 700 × 3 + 20 × 3 + 5 × 3 ( perform products and sum )

line 3 = 2,100 + 60 + 15

The measure that describes how much a sample mean varies when different samples are chosen is the standard error of the mean. Therefore, the correct answer is A.

The standard error of the mean (SEM) quantifies the amount of variability or dispersion in the sample means that would be obtained from multiple samples of the same size taken from the same population. It is a measure of the precision or accuracy of the sample mean as an estimate of the population mean.

The standard error of the mean is calculated by dividing the standard deviation of the population by the square root of the sample size. It takes into account both the variability of the population and the sample size. As the sample size increases, the standard error of the mean decreases, indicating that the sample mean becomes a more precise estimate of the population mean.

On the other hand, the confidence interval (B) is a range of values that is likely to contain the population mean with a certain level of confidence. It provides an estimate of the precision or uncertainty associated with the sample mean.

The sample mean (C) represents the average value of a sample, while the population mean (D) represents the average value of the entire population.

Option A is correct.

For more such questions on mean visit:

https://brainly.com/question/1136789

#SPJ8

The point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0.

To graph the equation 2x + 3y = 6, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

Starting with the given equation, we isolate y to one side:

3y = -2x + 6

y = (-2/3)x + 2

Now, we have the equation in slope-intercept form, y = (-2/3)x + 2. The slope is -2/3, and the y-intercept is (0, 2).

To find the point where the graph intersects the x-axis, we need to determine the coordinates where y is equal to zero. This occurs when the line crosses the x-axis.

Setting y = 0 in the equation, we have:

0 = (-2/3)x + 2

(-2/3)x = -2

x = (-2)(-3/2) = 3

Therefore, the point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0, indicating the point of intersection with the x-axis on the graph.

To more on Graph:
https://brainly.com/question/19040584
#SPJ8

Answer:

They sold 84 student tickets.

Step-by-step explanation:

Let x be the number of student tickets sold

Let y be the number of adult tickets sold

Total value of tickets sold = $3612

student tickets = $8 each

adult tickets = $12 each

8x + 12y = 3612  ---equation 1

The number of adult tickets sold was 7 less than 3 times the number of student tickets.

y = 3x - 7   ---equation 2

Substitute equation 2 to equation 1

8x + 12(3x -7) = 3612

8x + 36x - 84 = 3612

44x = 3612 + 84

44x = 3696

x = 84

Substitute x =84 to equation 2

y = 3x - 7

y = 3(84) - 7

y = 252 - 7

y = 245

The total value of tickets sold at a school concert was $3612 which includes 84 tickets sold by students for $8 each.

Let "x" be the number of student tickets sold.

According to the given problem, the number of adult tickets sold were 7 less than 3 times the number of student tickets.

This statement can be represented in equation as:

Number of adult tickets = 3x - 7

The total value of the tickets sold was $3612. We can set up an equation using this information:

8x + 12(3x - 7) = 3612

The first term of the equation represents the total value of the student tickets sold, while the second term represents the total value of the adult tickets sold.

Simplifying the equation:

8x + 36x - 84 = 3612

Combining like terms:

44x - 84 = 3612

Adding 84 to both sides:

44x = 3696

Dividing both sides by 44 we get,

x = 84

Therefore, the number of student tickets sold are 84.

To learn more about equation:

https://brainly.com/question/21835898

#SPJ4

Answer:

x = -9

Step-by-step explanation:

Given the equation:

[tex]\displaystyle{28=-9x-8+5x}[/tex]

First, simplify the like term of x-variable:

[tex]\displaystyle{28=-8-4x}[/tex]

Then add both sides by 8 since we are trying to solve for x, we have to isolate x:

[tex]\displaystyle{28+8=-8+8-4x}\\\\\displaystyle{36=-4x}[/tex]

Finally, divide both sides by -4, without forgetting that dividing positive with negative always result in negative:

[tex]\displaystyle{\dfrac{36}{-4}=\dfrac{-4x}{-4}}\\\\\displaystyle{-9=x}[/tex]

And also, dividing negative with negative is always positive. You can think like this:

And thus, x = -9

The length of the other side (y) is 4√2 and the length of the hypotenuse (z) is 4√6.

Given that sin B = 1/√3 and x = 8 in a right triangle, we can find the length of the other side (y) and the length of the hypotenuse (z).

Using the definition of sine, sin B = opposite/hypotenuse, we have 1/√3 = y/z.

Since x = 8 and x is opposite angle A, we can use the Pythagorean theorem to relate the sides of the triangle: [tex]x^2[/tex] + [tex]y^2[/tex] = [tex]z^2.[/tex]

Substituting the given values, we have [tex]8^2[/tex] + [tex]y^2[/tex] = [tex]z^2.[/tex]

Simplifying, 64 + [tex]y^2[/tex] = [tex]z^2[/tex].

From the equation 1/√3 = y/z, we can rearrange it to obtain y = z/√3.

Substituting this value of y in the Pythagorean equation, we get 64 + [tex](z/\sqrt3)^2[/tex] = [tex]z^2[/tex].

Simplifying further, 64 + [tex]z^{2/3[/tex] = [tex]z^2[/tex].

Multiplying both sides by 3, we have 192 + [tex]z^2[/tex] = 3[tex]z^2[/tex].

Subtracting [tex]z^2[/tex]from both sides, we get 192 = 2[tex]z^2[/tex].

Dividing both sides by 2, we obtain [tex]z^2[/tex] = 96.

Taking the square root of both sides, we find z = √96 = 4√6.

Finally, substituting the value of z into y = z/√3, we get y = 4√6/√3 = 4√2.

Therefore, the length of the other side (y) is 4√2 and the length of the hypotenuse (z) is 4√6.


For more such answers on Hypotenuse

https://brainly.com/question/2217700

#SPJ8

The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.

To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.

A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.

To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.

If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.

The northerly component can be found using the sine of the angle:

Northerly Component = Wind Speed * sin(Angle)

Northerly Component = 15 m/s * sin(45°)

Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:

Northerly Component ≈ 15 m/s * 0.707

Northerly Component ≈ 10.605 m/s

For more such questions on northerly component

https://brainly.com/question/2926396

#SPJ8

Answer:

Step-by-step explanation:

CA = Radius              > A radius is from center to end of circle

<ADB = Inscribed angle       >an inscribed angle is a circle that is inside

                                               a circle but goes from 1 end to other

<ACB = Central angle         >a central angle goes from Center to ends

                                              of circle

EF = tangent                       >tangent is a line that touches the circle at 1

                                              point and goes off

The expression x² + x - 2 remains in its Simplest form without further simplification.

The expression x² + x - 2 is already in its simplest form and cannot be further simplified. Therefore, the correct answer is none of the options provided (A, B, C, or D).

To clarify, let's review the options given:

A. 1/x + 2: This is a fraction with x in the denominator, which is different from the original expression.

B. (x + 2) / (x² + 2): This is a fraction with both x + 2 and x² + 2 in the numerator and denominator, respectively. It is not equivalent to the original expression.

C. (x - 1) / (x² + 2): This is a fraction with both x - 1 and x² + 2 in the numerator and denominator, respectively. It is also not equivalent to the original expression.

D. 1 / (x - 2): This is a fraction with x - 2 in the denominator. It is not equivalent to the original expression.

Therefore, the expression x² + x - 2 remains in its simplest form without further simplification.

For more questions on Simplest .

https://brainly.com/question/30340104

#SPJ8

The simplified form of (-4 + 7i) + (-3 - 8i) is -7 - i.

To simplify the expression (-4 + 7i) + (-3 - 8i), we combine the real parts (the terms without 'i') and the imaginary parts (the terms with 'i') separately.

First, let's simplify the real parts:

-4 + (-3) = -7

Next, let's simplify the imaginary parts:

7i + (-8i) = 7i - 8i = -i

Now, we combine the simplified real and imaginary parts:

-7 + (-i) = -7 - i

Therefore, the simplified form of (-4 + 7i) + (-3 - 8i) is -7 - i.

for such more question on simplified form

https://brainly.com/question/11680269

#SPJ8

To find the least common denominator (LCD) for the fractions 3/4 and 1/6, we need to determine the smallest multiple that both denominators, 4 and 6, divide evenly into.

To find the LCD, we can list the multiples of both denominators and find the smallest common multiple:

Multiples of 4: 4, 8, 12, 16, 20, 24, ...

Multiples of 6: 6, 12, 18, 24, 30, 36, ...

From the lists above, we can see that the smallest common multiple of 4 and 6 is 12.

Therefore, the least common denominator for 3/4 and 1/6 is 12.

[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]

♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]

The answer is:

Work/explanation:

To find the least common denominator for 4 and 6, we find their LCM.

And that is:

[tex]\textsf{Lcm of 4 and 6 = \textbf{12}}[/tex]

Hence, that is the least common denominator for these two fractions.

Now, let's add them:

[tex]\sf{\dfrac{3}{4} +\dfrac{1}{6}}[/tex]

[tex]\sf{\dfrac{3\times3}{4\times3} +\dfrac{1\times2}{6\times2}}[/tex]

[tex]\sf{\dfrac{9}{12} +\dfrac{2}{12}}[/tex]

Now we go about this by just adding the numerators:

[tex]\sf{\dfrac{11}{12}}[/tex]

Hence, the answer is 11/12.

In roster notation, the set can be represented as:

{Loan fraud, Bank fraud, Employment fraud, Utilities/phone fraud, Other}

To write the set of identity theft types that made up more than 50% of all reported claims, we can examine the percentages provided.

The type of identity theft fraud that made up more than 50% of all reported claims is:

Government documents/benefits fraud (49.2%)

In roster notation, the set can be represented as:

{Government documents/benefits fraud}

To list the set of types of identity fraud that made up less than 20% of all reported cases, we can examine the percentages provided for each type of identity theft fraud.

The types of identity theft fraud that made up less than 20% of all reported cases are:

Loan fraud (3.5%)

Bank fraud (5.9%)

Employment fraud (3.3%)

Utilities/phone fraud (9.9%)

Other (19.2%)

In roster notation, the set can be represented as:

{Loan fraud, Bank fraud, Employment fraud, Utilities/phone fraud, Other}

To write the set of identity theft types that made up more than 50% of all reported claims, we can examine the percentages provided.

The type of identity theft fraud that made up more than 50% of all reported claims is:

Government documents/benefits fraud (49.2%)

In roster notation, the set can be represented as:

{Government documents/benefits fraud}

For more questions on roster notation

https://brainly.com/question/31055633

#SPJ8

Answer:

A. 109 degrees

Step-by-step explanation:

supplementary angles add up to 180 degrees

<EOF = 180-71=109

The Eden Project is a popular educational destination located about 400 kilometers west of London, near the city of Plymouth. It features two large greenhouses, which are the largest in the world. The project covers an area of 120 dunams and is home to over 1 million different plants. One greenhouse houses plants from rainforests, while the other showcases plants from the Mediterranean region. Each greenhouse provides a carefully controlled environment that resembles the natural habitat of the plants.

The project was initiated in the 1990s by Tim Smit, who was concerned about the lack of awareness regarding the consequences of damaging nature. Smit aimed to create an educational platform where visitors could witness the wonders of nature and learn how to protect them. The Eden Project has attracted 20 million visitors of all ages, who have explored the greenhouses and participated in educational programs.

Due to its success, Smit plans to establish Eden Projects in other parts of the world. A project focused on environmental issues related to water is set to be built in China, while others are planned for Australia and New Zealand.

Building each Eden Project requires a significant investment of hundreds of millions of dollars due to their size and complexity. However, Smit believes that the costs can be recovered within ten years through visitor revenues. Additionally, he emphasizes the immeasurable value of educating millions of people about their responsibility towards the world around them.

Answer:

k = 18°

Step-by-step explanation:

the upper right interior angle of the triangle and 81° are alternate angles and are congruent

upper right interior angle = 81°

since the 2 legs of the triangle are congruent then the triangle is isosceles with base angles being congruent , so

lower right interior angle = upper right interior angle = 81°

the sum of the 3 angles in the triangle = 180° , that is

k + 81° + 81° = 180°

k + 162° = 180° ( subtract 162° from both sides )

k = 18°

Answer:

Step-by-step explanation:

If the other two angles of the triangles are 81 ( isoceles triangle ) then 180 - 81 - 81 = 18

Answer:5.666666667

Step-by-step explanation:

3.) The amount of ribbon she will have that us left over would be= 6.9ft

4.) The area of a circle with the given radius would be=1385cm²

5.) The square root of the given fraction would be = 1.36

For question 3:

The total amount of ribbon she purchased= 20.7ft

The amount of ribbon used in drawing room = 1/3 of 20.7ft

That is;

= 1/3×20.7/1

= 6.9ft

The remaining= 20.7-6.9 = 13.8ft

The amount used in the dinning room= 1/2 of 13.8 = 6.9ft

The amount that is left= 13.8-6.9 = 6.9ft.

For question 4:

The area of the circle with the given radius would be;

= πr²

where:

radius= 21cm

Area= 3.14×21×21= 1385cm²

For question 5.)

The square root of 13/7= √ 1.857142857

= 1.36

Learn more about area here:

https://brainly.com/question/28470545

#SPJ1

Answer:

23/250

Step-by-step explanation:

9.2%=0.092=92/1000

Then, simplify.

92/1000=46/500=23/250

The angle between u and v is approximately 26.6 degrees.

To find the angle between two vectors, u and v, we can use the dot product formula:

u · v = ||u|| ||v|| cosθ

where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.

Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:

u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50

Next, we find the magnitudes of u and v:

||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246

||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071

Substituting these values into the dot product formula:

50 = 8.246 * 7.071 * cosθ

Simplifying, we have:

cosθ = 50 / (8.246 * 7.071) ≈ 0.899

Taking the inverse cosine (arccos) of 0.899, we find:

θ ≈ 26.6 degrees

Therefore,To find the angle between two vectors, u and v, we can use the dot product formula:

u · v = ||u|| ||v|| cosθ

where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.

Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:

u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50

Next, we find the magnitudes of u and v:

||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246

||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071

Substituting these values into the dot product formula:

50 = 8.246 * 7.071 * cosθ

Simplifying, we have:

cosθ = 50 / (8.246 * 7.071) ≈ 0.899

Taking the inverse cosine (arccos) of 0.899, we find:

θ ≈ 26.6 degrees

Therefore, the angle between u and v is approximately 26.6 degrees.

For more questions on magnitudes, click on:

https://brainly.com/question/30337362

#SPJ8