What are the domain and range of the function represented by the set of
ordered pairs?
{(-12,-5),(-10,5), (10,-5), (12,5)}
A. Domain: -12 Range: -5 sys5
B. Domain: {-5,5)
Range:{-12, -10, 10, 12}
C. Domain: {10, 12}
Range: {5}
D. Domain: {-12, -10, 10, 12)
Range: {-5,5)

Answer:

Based on the information provided, Jaya is twenty-eight years old.

We already know there are three siblings and their ages if added are 84. Based on this information, let's find the approximate age of these siblings:

This means their average age is twenty-eight.

However, they are not the same age and their ages are consecutive. Based on this let's create a sequence:

27+28+29 = 84

Based on this, Jaya is 28 years old and her siblings are 27 and 29.

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Answer:

6 x h + 7

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The small triangle is half the size of the entire triangle. 27/2 = 13.5

Answer: True

Step-by-step explanation: When you need to analyze the data presented in PivotTables and PivotCharts, use a trendline to select the data to display and summarize.

True, before adding a trendline to a chart, it is essential to determine the data series that you want to analyze.

A trendline is a graphical representation of a pattern or direction within a given set of data, which can help in predicting future data points or understanding relationships between variables. By selecting the appropriate data series, you can effectively evaluate the trends and correlations within that specific dataset.

When creating a chart, you'll often work with multiple data series representing different variables or measurements. Identifying the relevant data series to analyze is crucial in order to obtain meaningful insights from the trendline. Once you have determined the data series of interest, you can then proceed to add a trendline that best fits the data points and provides a clear understanding of the underlying patterns.

In summary, it is true that determining the data series to analyze is an important step before adding a trendline to a chart, as it allows you to gain valuable insights and make informed decisions based on the observed trends.

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The integral over the given path C evaluates to -3.33i, and taking the absolute value gives the answer of 3.33.

1. The parameterization of the right half of the circle is given by

\(z = 0.6e^{i\theta}\)

Where θ is restricted to 0 ≤ θ ≤ π.

2. Therefore, we have:

\(\int C [1/z^2 - 2i] dz = \int[0,\pi] [1/(0.6e^{i\theta})^2 - 2i] [(0.6i)e^{i\theta}] d\theta\)

\(= -1/0.36 \int[0,\pi] (0.6i) e^{-i\theta} d\theta\)

3. The integral over [0, π] of

\(e^{-i\theta}\) is  \(\int[0,\pi] e^{-i\theta} d\theta\)

\(= - e^{-i\pi} + 1\\=2\)

Therefore we have:

\(=-1/0.36 \int[0,\pi] (0.6i) e^{-i\theta} d\theta\)

\(= -1/0.36 [0.6i] \int[0,\pi] e^{-i\theta} d\theta\)

= -1/0.36 (0.6i) (2)

= -3.33i

4. The upper bound is |-3.33i| = 3.33.

Therefore, the answer is 3.33.

The integral over the given path C evaluates to -3.33i, and taking the absolute value gives the answer of 3.33.

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Answer:

f(g(x)) = 12x + 1

Step-by-step explanation:

Step 1: Define functions

f(x) = 3x - 2

g(x) = 4x + 1

Step 2: Find f(g(x))

f(g(x)) = 3(4x + 1) - 2

f(g(x)) = 12x + 3 - 2

f(g(x)) = 12x + 1

Answer:

60 miles

Step-by-step explanation:

Answer:1.character vs character

2.character vs society

3. character vs self

Step-by-step explanation:

Answer:

1. character v.s character

2. character v.s. society

3. character v.s self

Step-by-step explanation:

These are the correct answers.

Comparing the surface areas of the three containers, we find that the cylinder requires the least amount of material to make, with a surface area of approximately 39.99 cm².

To determine which container requires the least amount of material to make, we need to compare the surface areas of the three containers: the cylinder, the regular pentagon-based prism, and the square-based prism.

1. Cylinder:

The formula for the lateral surface area of a cylinder is given by:

A_cylinder = 2πrh,

where r is the radius of the base and h is the height of the cylinder.

Given that the volume of the cylinder is 20 cm³ and the height is 5 cm, we can calculate the radius:

V_cylinder = πr²h,

20 = πr²(5),

r² = 4/π,

r ≈ 1.27 cm.

Substituting the values into the lateral surface area formula, we get:

A_cylinder = 2π(1.27)(5) ≈ 39.99 cm².

2. Regular Pentagon-Based Prism:

To find the surface area of a regular pentagon-based prism, we need to know the apothem (a line segment from the center of the polygon to the midpoint of one of its sides) and the height of the prism.

Since the container holds 20 cm³ of water and has a height of 5 cm, each layer of water has a volume of 20/5 = 4 cm³. As the prism is regular, we can find the side length of the pentagon by calculating the square root of the prism's volume:

side length = √(4/tan(π/5)) ≈ 2.12 cm.

The apothem of a regular pentagon can be calculated using the formula:

apothem = side length / (2tan(π/5)) ≈ 1.85 cm.

The lateral surface area of the pentagon-based prism is given by:

A_pentagon = 5 × (1/2 × perimeter × apothem) = 5 × (5 × 2.12 × 1.85) ≈ 49.17 cm².

3. Square-Based Prism:

Since the container holds 20 cm³ of water and has a height of 5 cm, each layer of water has a volume of 20/5 = 4 cm³. Thus, the base area of the square is 4 cm².

The lateral surface area of a square-based prism is given by:

A_square = 4 × side × height,

where side is the length of one side of the base and height is the height of the prism.

Given that the base area is 4 cm² and the height is 5 cm, we can calculate the side length of the square base:

4 = side²,

side ≈ 2 cm.

Substituting the values into the lateral surface area formula, we get:

A_square = 4 × 2 × 5 = 40 cm².

Comparing the surface areas of the three containers, we find that the cylinder requires the least amount of material to make, with a surface area of approximately 39.99 cm².

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The required, there are 8998912 possible license plates that can be generated using this format.

Here, we have,

There are 8 digits that can be used for each of the three digits on the license plate, with two digits (4 and 5) that cannot be used.

Therefore, there are 8 choices for each of the three digits,

giving us 8 x 8 x 8 = 512 possible combinations for the digits.

Similarly, there are 26 letters that can be used for each of the three letters on the license plate.

Therefore, there are 26 choices for each of the three letters, giving us 26 x 26 x 26 = 17576 possible combinations for the letters.

Total number of license plates = number of choices for the digits x number of choices for the letters

= 512 x 17576

= 8998912

Therefore, there are 8998912 possible license plates that can be generated using this format.

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Answer:

10/14

Step-by-step explanation:

Step-by-step explanation:

Probability = No. of students living in campus/Students in biology class

= 10/14= 5/7

=>5/7 into % = (5/7)×100=71.428%

Now round the answer to the nearest tenth

=> 71.428%=71%

Hope this helps you.

Answer:

In attachment

Step-by-step explanation:

See the attachment.  They are much easier to solve if you set up a spreadsheet template and then copy that template for each problem.  The inputs would be the two given points for each graph.  Problem 3's slope is undefined, since it is a vertical line and the run is 0, no change in x.  Since slope is "Rise/Run," this is dividing by zero, a No-No for mathematicians, as well as us chemists and other mortals.

Answer:

75 degrees.

Step-by-step explanation:

Central angle = subtending arc.

Answer:

Step-by-step explanation:

__________________________________________________________

Key

\(\left|-12\right|\) = \(12\)

\(\left|0\right|\) = \(0\)

\(\left|5\right|\) = \(5\)

\(\left|14\right|\) = \(14\)

__________________________________________________________

Is 12 more than 14?

NO

So that answer is correct. ✓

__________________________________________________________

Is 0 more than 14?

NO

So that answer is ( also ) correct. ✓

__________________________________________________________

Is 5 more than 14?

NO

So that answer is ( lastly ) correct. ✓

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Answer:

121

Step-by-step explanation:

Since the two lines are parallel, they will have the same angles, so all we need to do is find the angle that is next to 59°. Let's label this y °.

In other words, y °, the angle next to 59°, is equal to x°.

Since we are dealing with angles of a straight line, we know that the two angles of either line will add up to be 180°.

So, 59° + y ° = 180°

Isolate y by subtracting 59 from 180.

180 - 59 = 121

y ° = 121

So, x° = 121°

Answer:

21

Step-by-step explanation:

Given the following expressions

f(x) = x³-2x

g(x) =-x-2

We are to find (fog)(-5)

fog = f(g(x))

f(g(x)) = f(-x-2)

Replace x with -x-2 in f(x)

f(-x-2) = (-x-2)³-2(-x-2)

f(-x-2) = (-x-2)³+2x+4

fog = (-x-2)³+2x+4

Substitute x = -5 into the result

fog(-5) = (-x-2)³+2x+4

fog(-5) = (-(-5)-2)³+2(-5)+4

fog(-5) = (5-2)³-10+4

fog(-5) = 3³-6

fog(-5) = 27-6

fog(-5) = 21

Hence the required result of the composite function is 21

Given:

Cory made 21 of the 60 baskets she attempted.

Krista made 16 out of 40 baskets she attempted.

Paul made 17 of the 50 baskets she attempted.

Sally 11 of the 55 she attempted.

To find:

Who had the greatest percentages of baskets made?

Solution:

We know that,

\(\text{Percentage of baskets made}=\dfrac{\text{Baskets made}}{\text{Total attempts}}\times 100\)

Using this formula, we get

\(\text{Cory's percentage of baskets made}=\dfrac{21}{60}\times 100=35\%\)

\(\text{Krista's percentage of baskets made}=\dfrac{16}{40}\times 100=40\%\)

\(\text{Paul's percentage of baskets made}=\dfrac{17}{50}\times 100=34\%\)

\(\text{Sally's percentage of baskets made}=\dfrac{11}{55}\times 100=20\%\)

From the above percentages 40% is maximum.

Therefore, Krista has greatest percentage of baskets made.

Answer:

B because you’re reflecting it on the x axis.

Hope this helped and brainliest please

Answer:

Step-by-step explanation:

First: pay attention in class

Next: do what the teacher says

I believe it is A and Yes

The bigger the price is on an item, the more tax you would have to pay, so both numbers increase. As for whether or not there is a line through the dots, you use a line when you could go inbetween the points. For example, with this question you can have 0.24, 0.86, or any other number as the price and it would make sense. If the question was sales tax on a certain number of shirts, well, you can't buy half a shirt so you don't need anywhere inbetween the dots.

Proportional in these kinds of problems means whether or not the line curves. If it doesn't and is a straight line, then it is proportional.

The third side must be 26.25 ft long

The perimeter of the flag is 63.25 ft

Material of 20 ft² was used in the flag

The Pythagoras theorem states that, in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the remaining two legs in the right angled triangle.

This is represented mathematically as,

a² = b² + c²

Where,

a is the hypotenuse, while b and c are the remaining legs of the right angled triangle

From the question,

b = 20 ft

c = 17 ft

Substitute these values into the Pythagoras theorem equation,

a² = b² + c²

a² = 20² + 17²

a² = 400 + 289

a² = 689

Take the square root of both sides

a = 26.25ft

The perimeter of a triangle is given with the formula,

P = a + b + c

Where,

a, b and c are the length of the sides

Therefore, substituting the values of a, b and c into the formula for Perimeter,

P = 20 + 17 + 26.25

P = 63.25 ft

How much material refers to the area covered by the flag.

The formula for area of a triangle is,

A = 1/2 × b × h

From the geometry of right angled triangles, the two legs constitutes the base and height.

Therefore, substituting the values of a and b as the base and height.

A = 1/2 × 20 × 17

A = 10 × 17 = 170 ft²

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Answer:negative case : 2.5x - 6.8 = -12.9

positive case : 2.5 - 6.8 = 12.9

step 2 : 6.8

step 3 : dividing by 2.5

step 4 : x = 7.88

Step-by-step explanation:

The absolute value equation as two linear equations:

Negative case: 2.5x - 6.8 = -12.9

Positive case: 2.5x - 6 8 = 12.9

An equation is an expression that shows the relationship between two or more numbers and variables.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are given the equation as

2.5x – 6.8 = 12.9

Now solving for x;

2.5x – 6.8 = 12.9

2.5x = 12.9 + 6.8

2.5x = 19.7

2.5x/2.5 = 19.7/2.5

x = 7.88

Thus, Negative case: 2.5x - 6.8 = -12.9

Positive case: 2.5x - 6 8 = 12.9

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The permutation combination is 120 for 3 different topping pizzas are available.

Permutation Combination:

A variety of ways to select objects from a set, usually forming a subset without replacement. The selection of this subset is called a permutation if the order of selection is a factor, and a combination if the order is not a factor. The French mathematicians Blaise Pascal and Pierre de Fermat, in the 17th century, used many chances in his game of combinatorics and probability by considering the ratio of the number of required subsets to the number of all possible subsets stimulated the development of the theory.

The concepts of permutations and combinations and their differences can be illustrated by examining all the different ways of selecting pairs of objects from five identifiable objects such as the letters A, B, C, D and E.

According to the Question:

Given that :

Number of different toppings = 10

Number of Pizzas = 03

therefore,

The permutation  combination are :

                = 10!/7! 3!

                = 15 × 8

                = 120.

Therefore, there are 120 different combinations of toppings.

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Answer:

see explanation

Step-by-step explanation:

The rule (x, y ) → (x + 2, y + 3 )

Means add 2 to the original x- coordinate and add 3 to the original y- coordinate, that is

A (1, 3 ) → A' (1 + 2, 3 + 3 ) → A' (3, 6 )

B (4, 7 ) → B' (4 + 2, 7 + 3 ) → B' (6, 10 )

C (6, 6 ) → C' (6 + 2, 6 + 3 ) → C' (8, 9 )

I HOPE IT WILL HELP YOU.

Thank you.

TEDDYLOVER....

False. The total shrink for a three- and four-bend saddle is equal to that of an offset.

The statement "total shrink for a three- and four-bend saddle is twice that of an offset" is true.

1. Shrink: Shrink refers to the amount of extra conduit length needed to account for bends in the conduit, so it maintains the required distance between two points after bending.

2. Offset: An offset is a two-bend conduit configuration used to navigate around obstacles while maintaining a straight path. The total shrink for an offset can be calculated using the formula: Shrink = offset height x (multiplier for the specific angle).

3. Saddle: A saddle is a conduit configuration with either three or four bends. It is used to navigate over or under obstructions while maintaining a straight path.

4. Comparison: For both three- and four-bend saddles, the total shrink is twice that of an offset. This is because a saddle consists of two sets of bends (either two offsets or an offset and a U-bend) and requires additional conduit length to accommodate these extra bends.

In conclusion, the statement is true, as the total shrink for a three- and four-bend saddle is indeed twice that of an offset.

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If below assumptions are not met, then the validity of the confidence interval may be compromised, and alternative methods may need to be used to estimate the mean increase in blood pressure.

In statistics, sampling is the process of selecting a subset of individuals or objects from a larger population for the purpose of studying or estimating certain characteristics of the population. The subset of individuals or objects is known as a sample.

Sampling is often used when it is impractical or impossible to collect data on the entire population. By studying a representative sample, statisticians can make inferences about the population as a whole with a certain level of confidence.

In order for a 95% confidence interval for the mean increase in blood pressure to be valid, the following assumptions must be made:

If these assumptions are not met, then the validity of the confidence interval may be compromised, and alternative methods may need to be used to estimate the mean increase in blood pressure.

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