the total cost of the airline ticket is $432, including an 8% tax. What was the cost of the ticket before the tax was added?

The slope formula, or the ratio of the change in the y values to the change in the x values, is m=(y2-y1)/(x2-x1).

A line's steepness and direction are measured by the line's slope.

Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes.

The y coordinate's net change is y, and the x coordinate's net change is x.

Hence, The slope formula, or the ratio of the change in the y values to the change in the x values, is m=(y2-y1)/(x2-x1).

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a) The greatest number of students who will get the refreshment is 210.

b) Each student will get 0.5 hot dogs.

c) Each student will get 0.6 cans of fruit juice.

a) To find the greatest number of students who will get the refreshment , we need to find the least common multiple of hot dogs and fruit juice.

The least common multiple is 210, which is the multiple of 105, and 126 is the least.

So the greatest number of students who will get the refreshment is 210.

b) To find the number of hot dogs each student will receive, we need to divide the total number of hot dogs (105) by the greatest number of students who will get the refreshment (210)

105/210 = 0.5

So each student will get 0.5 hot dogs.

c) To find the number of fruit juices each student will receive, we need to divide the total number of fruit juice (126) by the greatest number of students who will get the refreshment (210)

126/210 = 0.6

So each student will get 0.6 cans of fruit juice.

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the value of log2 log32 is 0.5899 and  the base of the logarithm is raised to the value that was equated earlier and this expression is equal to the logarithm.

logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logb n. For example, 23 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8.J

The logarithmic equation that has the same solution as x-4=2^3 is log2(x-4)=3.

Logarithm

The logarithm of a number can be calculated from the following relationship:

Thus, the base of the logarithm is raised to the value that was equated earlier and this expression is equal to the logarithm.

So, we have that the third expression

Therefore, this expression is the one corresponding to x-4=2^3.

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Answer:

  4.6 km

Step-by-step explanation:

You want to know how many kilometers east Santos walked to end up 5 km from his starting position after walking 2 km south.

The distance Santos is from his starting position will be the hypotenuse of a right triangle with one leg 2 km. Using the Pythagorean theorem, we can find the length of the other leg.

  c² = a² + b²

  5² = 2² + b²

  21 = b²

  b = √21 ≈ 4.583

Santos walked about 4.6 km east.

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A scatter plot is the best graph for comparing two variables.

A scatter plot is a graph that uses dots to represent individual observations of two variables. It is a powerful tool for comparing two variables because it allows us to see the relationship between the two variables and how they are distributed. It also helps to identify any patterns or trends in the data, such as a positive correlation, a negative correlation, or no correlation at all.

Additionally, scatter plots allow us to see outliers, which are data points that are far away from the majority of the data points. This makes it easy to identify any extreme values that may be skewing the data and affecting the overall pattern of the graph. Overall, scatter plots are useful for identifying patterns, trends, and outliers in data sets, making it the best choice for comparing two variables.

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required transformed function will be y = parent function+5⇒y=logx+5.

Since, given function y= logx

According to the graph, the transformed function is getting after shifting  the function by 5 unit upward.

Thus, transformed function must be equals to parent function+5.

Therefore, required transformed function will be y = parent function+5⇒y=logx+5.

How to do logarithmic transformations?

Image result for How do you graph log functions with transformations?

Recall the general form of a logarithmic function is: f ( x ) = k + a log b ⁡ where a, b, k, and h are real numbers such that b is a positive number ≠ 1, and x - h > 0. A logarithmic function is transformed into the equation: f ( x ) = 4 + 3 log ⁡

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Step-by-step explanation:

Calculate the approximate value: 26 x 0.87462

Calculate: 22.74012

Round  22.74012 to the required place

Answer:22.7

Hope this helps

Answer:

17 + x + 3 + 17

X is 3

Uma is correct, because getting an even number is an event.

The term probability refers to the likelihood of an event occurring.

Given that;

Bridget says that when a standard number cube is rolled getting an even number is an outcome.

And, Uma says that getting an even number is an event.

Now,

We know that;

When a standard number cube is rolled then getting an even number is an event.

Hence, Uma statement is correct.

Thus, Uma is correct, because getting an even number is an event.

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Answer: x=9

Step-by-step explanation:

Here the given angles are,

50,80,6x-4

The sum of the angles of a triangle is 180 degrees and hence

50+80+6x-4=180

130+6x-4=180

126+6x=180

6x=180-126

6x=54

x=54/6

x=9

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Answer:

Step-by-step explanation:

Answer: y ≥ −3/2x − 3

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area.

Hope this helps!

The annual income of a certain household that has a z-score of 1.5, is 80,000.

The relationship between a value and a group of values' mean is described statistically by the Z-score. Standard deviations from the mean serve as the unit of measurement for Z-score. The score for a data point is equal to the mean score if the Z-score is 0. A value that deviates by one standard deviation from the mean is indicated by a Z-score of 1.0.

Z-scores can either be positive or negative, with a positive value indicating that the score is above the mean and a negative value indicating that the score is below the mean. Z-scores are measurements of an instrument's variability used in investing and trading that traders can use to estimate volatility.

Let the annual income be x.

x has μ = 50000, σ = 20000

We know that for given x, z = (x−μ)/σ

Given that z - score = 1.5

Substituting the values we get

⇒ 1.5 = (x−50000)/20000

​⇒ 1.5 × 20000 = x−50000

​⇒ 30000 = x − 50000

⇒ x = 30000 + 50000

⇒ x = 80,000

Thus, The annual income of a certain household that has a z-score of 1.5, is 80,000.

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Answer:

7 months

Step-by-step explanation:

Spotify is better
Have a great day

In "Gilgamesh: A New English Version," several pieces of evidence support the conclusion that Gilgamesh is an epic hero.

Gilgamesh is the king of Uruk: He is the main character of the story, and his actions and deeds are the focus of the epic. As a king, he holds a position of power and authority and is responsible for the well-being of his people.

Gilgamesh undertakes a quest: He embarks on a journey to find immortality after the death of his dear friend Enkidu. His quest takes him to the ends of the earth and shows his determination and courage.

Gilgamesh faces challenges and monsters: During his journey, Gilgamesh faces several challenges and monsters, such as the giant Humbaba and the Bull of Heaven. His bravery in overcoming these obstacles demonstrates his heroic qualities.

Gilgamesh has supernatural strength and abilities: He is two-thirds god and one-third man, which means he is gifted with supernatural strength, speed and endurance. He is able to perform deeds that would be impossible for a mortal.

Gilgamesh demonstrates wisdom and self-awareness: Throughout his journey, Gilgamesh comes to understand the limitations of human life and the importance of living a meaningful existence. He demonstrates wisdom and self-awareness which are the hallmark of a true epic hero.

These examples of Gilgamesh's character and actions support the conclusion that he is an epic hero and his story is an epic.

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Answer: 1000

Step-by-step explanation:

i took this quiz before ! !

Canvas cannot track tabs.

While Canvas cannot track whether students switch to new tabs in their web browsers during a quiz or test, it can track when a student completes a quiz and navigates to a different page on the website rather than the one they were previously on. However, the general public cannot access this data.

In a perfect world, Canvas wouldn't be able to tell if a student opened new tabs in a browser or a new program or online browser while taking a quiz or test. However, Canvas will watch over and restrict student internet activity if the exam is proctored.

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it's infinitely many bc the equations have the same line

Answer:

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

Step-by-step explanation:

How many solutions does the following system have?

y = -2x – 4

y = 3x + 3

Solution:

Given y = -2x – 4

y = 3x + 3

Rewriting to the general form

-2x – y – 4 = 0

3x – y + 3 = 0

Comparing the coefficients,

(a1/a2) = -⅔

(b1/b2) = -1/-1 = 1

(a1/a2) ≠ (b1/b2)

Hence, this system of equations will have only one

The length of the sides of cube will be;

⇒ 2 cm

A cube is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six squared faces with eight vertices and twelve edges is called cuboid.

Given that;

The surface area of a cube = 24 cm².

We know that;

The surface area of a cube with side 'a' is,

⇒ S.A = 6a²

Here, The surface area of a cube = 24 cm²

Hence, We get;

⇒ 24 = 6a²

⇒ 24/6 = a²

⇒ a² = 4

⇒ a = √4

⇒ a = 2 cm

Thus, The side of cube = 2 cm

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Answer:

9.1

Step-by-step explanation:

For the first one, I just multiplied 4.55 and 0.5 by 2 somthey are proportional. Or divide distance by time!

The second row's third box AC = AC ( common side ) ( common side ) box last. Therefore, by applying the ABCD ASA congruence axiom.

Three sides, three angles, and three vertices make up the closed, two-dimensional shape of a triangle. Polygons include triangles. Triangle ABC is depicted in the above figure. Triangular polygons in geometry are those with three sides and three vertices. There are three straight sides to this two-dimensional figure. Three-sided polygons include triangles. A triangle's three angles add up to a full 180 degrees. A single plane contains the triangle. Triangulus, which means "three-cornered" or "having three angles," is a Latin word with roots in tri-, "three," and angulus, "angle or corner."

given

AB||DC , BC||AD

To show that

ΔABC≅ ΔCDA

First box

AB || DC (given )

below box to the first box

∠BAC = ∠DCA ( parallel lies cut by the transverse form congruent alternate interior angles )

Second box

BC||AD ( given )

Below box to the second box

∠DAC = ∠BCA ( parallel lies cut by the transversal form congruent alternate interior angles )

Third box in the second row

AC = AC ( common side )

Last box

So by using ASA congruence axiom

ΔABC ≅ΔCDA

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g(6) must be greater than 21 which is 22 only.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable.

Since g'(x) > 0 for all x and we know that g(x) is an increasing function.

Additionally, since g"(x) > 0 for all x, we know that g(x) is a concave-up function.

Since g(x) is increasing, we know that g(6) > g(5) = 18.

Now, we can use the fact that g(x) is concave-up to find a lower bound on g(6).

By the definition of concave-up, we know that the slope of the tangent line to g(x) is increasing.

This means that the slope of the line connecting (3,g(3)) to (5,g(5)) is less than the slope of the line connecting (5,g(5)) to (6,g(6)).

Using this information, we can find a lower bound on g(6):

g(5)- g(3) / (5-3) < g(6)- g(5)/ (6-5)

18- 12/2 < g(6)- 18

3 < g(6) - 18

g(6) > 21

Therefore, g(6) must be greater than 21.

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The right angle with in 3-4-5 triangle is naturally 90 degrees. Always opposite the fourth side, at 53.13 degrees, are the other two angles: 36.87 degrees (just opposite the 3rd side).

Specialized triangles, such as 3-4-5 triangles, can be solved using the Pythagorean theorem.

Thus, this 3-4-5 right triangle is one of the most well-known Pythagorean triples. The hypotenuse, its longest side opposite its right angle, is measured at 5, while the shorter sides measure at 3 and 4.

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Answer:

60 degrees

Step-by-step explanation:

The total measure of a circle is 360 degrees.

360-140-100 = 120

Angles MON and NOP are equivalent which makes MN and NP equivalent.

120/2 = 60 degrees = MN

The conjugate is -7+6i. The correct option is third.

When two binomials have the same terms but different arithmetic operators in the center of these related words, they are said to be conjugate. For instance, the conjugate of p + q is p - q.

Given:

On a coordinate plane,

the y-axis is labeled imaginary and the x-axis is labeled real.

Point z is at (negative 7, negative 6).

Z(-7, -6)

So, the equation,

-7-6i

So, the conjugate of the equation is,

-7+6i

Therefore, -7+6i is the conjugate of the points.

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The new dimensions of the rectangle will be 4.8 x 4.4.

To find the new dimensions, we need to find the area of the original rectangle (2.4 x 2.2 = 5.28), and then multiply it by 16 to find the desired new area (5.28 x 16 = 84.48).

Since the area of a rectangle is determined by the product of its length and width, we can find the new dimensions by taking the square root of the new area and dividing it by the original length.

These are the new dimensions of the rectangle.

We have to make sure that the new dimensions are in the same proportion as the original one, we can use the same factor of multiplying to get the new length and width.

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The smallest number with the factors 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24 is 232792560.

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Answer:

Step-by-step explanation:

  3 [tex]\frac{1}{6}[/tex]

+  1 [tex]\frac{5}{6}[/tex]

_______

4 [tex]\frac{6}{6}[/tex]   =  5 pounds

[tex]\frac{6 }{6}[/tex]  = 1  add this to the 4 and you have 5 pounds total

Answer:

Step-by-step explanation:

pull up in a monsta automobile gangsta

Answer:

7x = 33+2

7x = 35

x = 5

Step-by-step explanation:

A SIMPLE EQUATION