Graph the function
f(x)=3/4x+2

Answer:

C and E

Step-by-step explanation:

Answer:

the slope should be 5

Step-by-step explanation:

y = 5x - 10

8 halls would be required to accommodate 520 people in the hall.

As we know that a hall can accommodate 65 people.

To determine the number of hall required for 520 people,

first we need to find that how many halls would be required for one person,

So, we will divide the 1 by 6 to find :

The number of one person accommodate = 1/65 Hall

Then, 520 people required to accommodate = 1/65 × 520

                                                                      = 8 Halls.

[Accommodate: to have enough space for somebody/something, especially for a certain number of people]

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The mean should be calculated for data sets A, B, C, and D.

It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.

When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.

The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.

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Answer: Triangle C.

Step-by-Step Explanation:

To solve this problem, we need to understand what it means for a triangle to be a translation of another triangle. A translation for a triangle means that it is the same shape and size as the original triangle, but it has shifted (or moved) a specific number of units either up, down, left, or right.

In this problem, we have Triangle P, which has been shifted 5 units to the right and 7 units up to form Triangle C. To determine which triangle is a translation of Triangle P, we can look at the coordinates of the different triangles.

Triangle A: (1, 4), (3, 7), (5, 6)

Triangle B: (2, 3), (4, 6), (6, 5)

Triangle C: (6, 11), (8, 14), (10, 13)

Triangle D: (3, 5), (5, 8), (7, 7)

If we compare the coordinates of each triangle with those of Triangle P, we can see that Triangle C, with coordinates (6, 11), (8, 14) and (10, 13), is the translation of Triangle P because all of the coordinates of Triangle P have been shifted 5 units to the right, and 7 units up. Therefore, the answer is Triangle C.

The subgroup of S4 that is isomorphic to Z2 is {e, (1 2)(3 4)}.

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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Answer:

7/4

Step-by-step explanation:

The rate of change is the slope or the change in y over the change in x.

The value of x and y in the right triangle is 4 and 2√2 respectively.

The figure is a right triangle:

Angle Y = 45 degrees

Adjacent to angle Y = 2√2

Hypotenuse = x

To solve for side length x, we the trigonometric ratio.

Note: cosine = adjacent / hypotenuse

Hence:

cos( Y ) = adjacent / hypotenuse

Plug in the values:

cos( 45° ) = (2√2)/x

Solve for x

x = (2√2)/cos( 45° )

x = 4

Next, to solve for y, we use Pythagorean Theorem:

c² = a² + b²

Hence:

x² = y² + (2√2)²

Plug in x = 4

4² = y² + (2√2)²

16 = y² + 8

16 - 8 = y²

y² = 16 - 8

y² = 8

y = √8

y = 2√2

Therefore, the value of side length y is 2√2.

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Answer:

11 > (w- 4)

y < 3

5 + 9 < 5.9

So these are the phrases which are inequalities.

The Volume of the Ball Bearings is 1.76 cubic. inches

Given :

The diameter of the ball bearings = 3/2 inches

The radius of the ball bearings = 3/4 inches

Now, The Volume of the Sphere = \(\frac{4}{3} \pi r^{3}\)

Putting the value of radius = 3/4 in the formula of the Volume,

We have :

The volume of the ball bearings =

\(V =\frac{4}{3} \pi (\frac{3}{4} )^{3} = \frac{4}{3} *\frac{22}{7}*\frac{3}{4} *\frac{3}{4} *\frac{3}{4}\\ \\V = 1.76\)

Hence, The Volume of the Ball Bearings =  1.76 cubic. inches

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Answer:

D

Step-by-step explanation:

x is higher than -2 so the colored line is an estimation of where x is

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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There were 8 slices in the whole pizza.

An equation means the formula that expresses the equality of two expressions by connecting them with the equals sign =.  Let us assume the number of slices in the whole pizza is "x".

Since Jim ate two slices which is 25% of the pizza, we will set up the equation:

2 = 0.25x

To solve for "x":

2 / 0.25 = x

x = 8.

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Answer: w=5 .

Step-by-step explanation: divide -9 on both sides which gives you 5 .So w=5 .

Answer:

-5

Step-by-step explanation:

According to the chart, homes in the United States have fluctuated between $90,000 and $130,000 most of the time between 1890 and 2010 and then rise to more than $200,000.

The graph shows the changes in the value of homes in the United States from the year 1890 to the year 2010. An important aspect of this graph is the influence that international events such as the world wars, the great depression, the boom of the 70s and 80s and the great boom.

According to the graph, the price of houses varies as follows:

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what color is the grass

Green. Thanks for the points

1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.

2)The snow days to days ratio is 20:1

3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.

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1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.

2)The snow days to days ratio is 20:1

3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.

Define ratio?

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The measure of angle 3 is 129 degrees.

What is the sum of the angles of a triangle?

The property says that "The sum of all three angles of triangles adds up to 180 degrees". means the sum of all angles of a triangle is equal to 180 degrees.

In a triangle, the sum of the interior angles is always 180 degrees. Therefore, to find the measure of angle 3, we can use the formula:

m∠1 + m∠2 + m∠3 = 180

Substituting the given values, we get:

33° + 18° + m∠3 = 180

Simplifying the left side, we have:

51° + m∠3 = 180

Subtracting 51 degrees from both sides, we get:

m∠3 = 129°

Therefore, the measure of angle 3 is 129 degrees.

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1.

We are told that the coordinates of the image are of the formula:

P'(x-2 , y-3) where x and y are the actual points and x-2 and y-3 are the reflections

Finding the coordinates of point A:

We are given that the coordinates of reflection of A are: A'(-4 , 3)

we also know that reflected point follow the formula: P'(x-2 , y-3)

So, the points of A'(-4 , 3) follow the formula P'(x-2 , y-3)

So, their respective x and y coordinates will be equal

Hence,

x - 2 = -4

x  = -2                 [adding 2 on both sides]

Also,

y - 3 = 3

y  = 6                 [adding 3 on both sides]

Therefore, the coordinates of A are A(-2,6)

Finding the coordinates of B:

We are given the coordinates of B' are B'(-4 , 2)

So,

x - 2 = -4

x = -2             [adding 2 on both sides]

also,

y-3 = 2

y = 5             [adding 5 on both sides]

Therefore, the coordinates of B are: B(-2,5)

Finding the coordinates of C:

We are given that the coordinates of reflection of C are: C'(-2,3)

Using the general formula given in the question:

x - 2 = -2  

x = 0            [adding 2 on both sides]

y - 3 = 3

y = 6            [adding 3 on both sides]

Therefore, the coordinates of C are: C(0,6)

Finally, the coordinates of A, B and C are:

A(-2,6)   ,    B(-2,5)   ,    C(0,6)

__________________________________________________________

2.

Reflecting the pre-image along the x-axis

To reflect along x-axis, we multiply the y-coordinate by -1

Coordinates of the pre-image:

A(-2,6)   ,    B(-2,5)   ,    C(0,6)

Coordinates of points reflected along the x-axis:

A(-2,-6)   ,    B(-2,-5)   ,    C(0,-6)

Answer:

26 i think

Step-by-step explanation:

39=13 x 3 SOOOOOOOOOO....

13 x 2 = 26

i hope this helps

Answer:

Step-by-step explanation:

\(n^{5}= 1254\\n^{5} = 2.3.11.19\)

Therefore it is not possible that n is a perfect power of 5

           it is approximately 4.16

Answer:

n ≈ 4.165

Step-by-step explanation:

To solve this, you need to take the 5th root of both sides:

\(n^5=1,254\)

\(\sf{\sqrt[5]{n^5} =\sqrt[5]{1254}}\)

On the lhs we're only left with n as n^5 and the 5th root cancel each other out.

On the right-hand side we need to calculate:

\(n\approx4.165\)

In each diagram, line f is parallel to line g, and line t intersects both lines f and g. The given information suggests the application of certain geometric properties and relationships.

Firstly, when a transversal line (line t) intersects two parallel lines (lines f and g), it creates several pairs of corresponding angles.

Corresponding angles are congruent, meaning they have equal measures. This property can be used to determine the measures of specific angles in the diagram.

Secondly, when a transversal intersects parallel lines, it also creates alternate interior angles and alternate exterior angles.

Alternate interior angles are congruent, as well as alternate exterior angles.

By utilizing these properties and relationships, one can analyze the diagram and determine the measures of various angles.

It is important to measure angles systematically and compare them to find congruent or equal measures.

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Answer:

Step-by-step explanation:

The probability that a mouse leaves first and then a bat is given as follows:

14/55.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

As the animal is not replaced, the probabilities for this problem are given as follows:

Hence the probability is given as follows:

4/11 x 7/10 = 2/11 x 7/5 = 14/55.

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When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.

The old coordinate where were rotated are:

A(-5,8)

B (-1, 7)

C(-3, 5)

D(-4, 2)

To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x  -coordinate.

The new coordinates are after 90 degrees, counterclockwise  are

A' = (-8, -5)

B' = (-7, -1)

C' = (-5, -3)

D' = (-2, -4)

See attached image.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

The low Q₁ is 13 and the median Q₃ is 16.5, the high is 18 and the interquartile range is 3.5

The interquartile range is a measure of dispersion that tells us how spread out the middle 50% of a dataset is. To calculate the IQR, we first need to find the quartiles of the dataset. Quartiles divide a dataset into four equal parts, with the first quartile (Q₁) representing the 25th percentile, the second quartile (Q₂) representing the 50th percentile (also known as the median), and the third quartile (Q₃) representing the 75th percentile.

To find the quartiles of the dataset {10, 13, 13, 14, 15, 15, 16, 17, 18}, we first need to order the data in ascending order:

10, 13, 13, 14, 15, 15, 16, 17, 18

The low is the smallest value in the dataset, which is 10.

To find Q₁, we need to find the value that is 25% of the way through the dataset. Since we have 9 values in our dataset, 25% of 9 is 2.25. This means that Q₁ lies between the 2nd and 3rd values in the dataset, which are both 13. To find the exact value of Q₁, we can take the average of these two values:

Q₁ = (13 + 13) / 2 = 13

The median is the middle value in the dataset, which is 15.

To find Q₃, we need to find the value that is 75% of the way through the dataset. 75% of 9 is 6.75, which means that Q₃ lies between the 6th and 7th values in the dataset, which are 16 and 17, respectively. To find the exact value of Q₃, we can take the average of these two values:

Q3 = (16 + 17) / 2 = 16.5

The high is the largest value in the dataset, which is 18.

Now that we have found the quartiles, we can calculate the IQR by subtracting Q1 from Q₃:

IQR = Q₃ - Q₁ = 16.5 - 13 = 3.5

Therefore, the interquartile range of the dataset {10, 13, 13, 14, 15, 15, 16, 17, 18} is 3.5. This tells us that the middle 50% of the dataset is relatively tightly clustered around the median, with values ranging from 13 to 16.5.

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