Grace is practicing for an upcoming piano recital.
The graph shows the hours she spent practicing over a 4-week period.

Answer:

844.875

Step-by-step explanation:

375.5 * 2.25= 844.875

No, this rule for a relation is not a function because the input variable (domain) are not uniquely mapped to an output variable (range).

In Mathematics, a function is a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (domain) to an output variable (range).

When x = -2, the range (output) of this function is given by:

y = (x + 1)²

y = (-2 + 1)²

y = (-1)²

y = 1.

When x = -1, the range (output) of this function is given by:

y = (x + 1)²

y = (-1 + 1)²

y = (0)²

y = 0.

When x = 0, the range (output) of this function is given by:

y = (x + 1)²

y = (0 + 1)²

y = (1)²

y = 1.

Based on the integers shown above, we can reasonably infer and logically deduce that this rule for a relation does not represent a function because the value of "1" is mapped to more than one domain element i.e -2 and 0.

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The number of people who bought £4 tickets are 139.

Let £4 tickets be x

Let £5 tickets be y.

Therefore based on the information given, this will be:

x + y = 223 ..... i

4x + 5y = 936 ..... ii

From equation i

x = 213 - y

Put this into equation ii

4x + 5y = 936

4(213 - y) + 5y = 936

852 - 4y + 5y = 936

Collect like terms

y = 84

This implies that the number of £5 tickets is 84.

Recall that x + y = 223

x + 84 = 223

x = 223 - 84

x = 139

The number of £4 tickets is 139

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Answer:

Tengoo

Step-by-step explanation:

Miedo

Answer:

number of action figures = 3 + 6(n-1)

at n = 9: number of action figures = 51

Step-by-step explanation:

first row: 3

second row: 6 more than the row before it (3) = 6 + 3 = 9

third row: 6 + 9 = 15

arithmetic series: \(a_n = a_1 + (n-1)d\), where

\(a_n\) is the nth term in the output

\(a_1\) is the first output

n is the input

d is the difference between terms

here, we are given the row, and we want to figure out the number of action figures. thus, row = input and number of action figures = output.

the first output, in the first row, is 3

the difference between the number of action figures in each row is 6

thus, our formula is

\(a_n = 3 + (n-1)6 = 3 + 6(n-1)\)

when the row is 9, the number of action figures is equal to

3 + 6(9-1) = 3 + 6 * 8 = 51

Answer:

(x+4)(3x-2)(x+1)

Step-by-step explanation:

6 bowls can hold 16 tomatoes.

Given:

Total tomatoes: 16

Each bowl holds: 3 tomatoes

Explanation:

To find the number of bowls needed divide total tomatoes by tomatoes each bowl can hold.

Solve:

16 ÷ 3 = 5.333...

So, we need more than 5 bowls, [6 bowls] to hold the tomatoes.

Answer:

6 bowls

Step-by-step explanation:

So . .

Then . .

Reason. .

Because you must be able to hold all 16! Therefor you round!

Hope this helps!  

Answer:

20/27

Step-by-step explanation:

The calculated value of x from the intersecting secants is (b) 1.6

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

intersecting secants

Using the theorem of intersecting secants, we have the following equation

a * b = c * d

In this case, we have

a = AE = 2

b = AB = 8

c = x

d = 10

Substitute the known values in the above equation, so, we have the following representation

2 * 8 = x * 10

Divide both sides by 10

x = 1.6

Hence, the value of x is 1.6

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Answer:

13 - 20%

14 - 150

:)

Number 1

\(\huge\red{\mid{\underline{\overline{\textbf{QUESTION}}}\mid}}\)

What percent of 80 is 16?

-We can make an equation to solve this

\(\frac{16}{80}=\frac{x}{100}\)

\(\frac{x}{100}\) is our what we would call our percent in math

and \(\frac{16}{80}\) is our whole and part you gave us

\(\frac{16}{80}=\frac{x}{100}\) cross multiply

\(80x=1600\)

\(x=20\)%

____________________

Number 2

\(\huge\red{\mid{\underline{\overline{\textbf{QUESTION}}}\mid}}\)

42 is 28% of what number?

-We can make an equation to solve this

\(\frac{42}{x}=\frac{28}{100}\)

\(\frac{28}{100}\) is our what we would call our percent in math

and \(\frac{42}{x}\) is our whole and part you gave us

\(\frac{42}{x}=\frac{28}{100}\) cross multiply

\(28x=4200\\x=150\)

\(\huge\blue{\mid{\fbox{\tt{ANSWER}}\mid}}\)

Answer:

8

Step-by-step explanation:

If the area is 32 and the formula for area of a triangle is base * height / 2, and you have base = 8 and height = x and area = 32, this would be:

8 * x / 2 = 32

Now, solve:

\(8x/2=32\\4x=32\\x=8\)

Answer:

x=8

Step-by-step explanation:

Area is equal to half of the base times the height. We are told that the area is 32and the base is 8, so we can write this equation:

32=1/2(8)h

Multiply 1/2 by 8:

32=4h

Divide both sides by 4:

h=8

So now we know that x (the height) equals 8.

HTH :)

Answer:

1. y = 1/3x - 1

2. y = 2/5x

3. y = x + 8

Step-by-step explanation:

Generally, we have the equation of a straight line as;

y = mx + c

where m is the slope and c is the y-intercept

So, we have the following based on the supplied values;

1. y = 1/3x - 1

2. y = 2/5x

3. y = x + 8

Answer:yr

Step-by-step explanation:rt5r

The answer is option (C) 120 years.

The life span of the Galápagos Islands giant tortoise is roughly normal, with a mean of 100 years and a standard deviation of 15 years.

To determine the age of a Galápagos Islands giant tortoise at the 90th percentile of the distribution, follow the steps below:

Step 1: Find the z-score The z-score formula is used to calculate the standard score. It is represented by:z = (X - μ)/σ, where X is the data point, μ is the mean, and σ is the standard deviation.

Substituting values in the formula, we get: z = (X - 100)/15

We need to find the value of X at the 90th percentile.

In other words, we need to find the value of X such that P(X ≤ x) = 0.90.

Using the z-table, we find the corresponding z-score that corresponds to a probability of 0.90.

This is given as: z = 1.28

Therefore, we can say that: 1.28 = (X - 100)/15Solving for X,

we get: X = 120 years

Hence, the age of a Galápagos Islands giant tortoise at the 90th percentile of the distribution is approximately 120 years.

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Answer:

Out of the 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30 total students, 4 + 3 = 7 are freshmen so the answer is 7 / 30 * 100 = 23%.

Step-by-step explanation:

Keith, the facilities director, joined the project team in wading through raw sewage, causing the team members to perceive him as less intimidating.

By loosening his tie and immersing himself in the unpleasant and challenging task alongside the project team, Keith demonstrated his willingness to get his hands dirty and work at the same level as his colleagues. This act of solidarity broke down the perceived hierarchy between Keith and the rest of the team members. The uncomfortable and unglamorous environment of the sewage created a level playing field, where Keith's position as a director became less apparent and his humanity and willingness to collaborate became more prominent.

As a result, the team members likely felt a sense of camaraderie and unity with Keith. They could see that he was not just a figure of authority but also a team player willing to go the extra mile to contribute to the project's success. This experience might have fostered a stronger bond within the team, increased their respect for Keith, and improved overall communication and collaboration, as they now perceived him as more approachable and relatable. Keith's actions in the face of adversity created a positive shift in the team dynamics and contributed to a more inclusive and effective working environment.

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it will help you a lot is it correct

Answer:

The answer is -4.

Step-by-step explanation:

Whenever you're adding a positive number to a negative number you are basically subtracting. So 3+-7 will be -4.

scale factor is 4

the blue square is 4 times bigger

Answer:

the scale factor would be 4

Step-by-step explanation:

because the blue square is about 4 times bigger then the other one

Answer:

y=-5x-1

Step-by-step explanation:

You have to first put it in point-slope form. y-y1=m(x-x1)

The y is 4 and the x is -1.

y-4=-5(x+1)

Now you put it in slope intercept form. y=mx+b.

y-4=-5x-5

Add 4 to both sides

y=-5x-1

Answer:

Su respuesta sería B20, pero no estoy seguro, por lo que es posible que desee volver a verificar y hacer su trabajo.

Step-by-step explanation:

The circle has a diameter of 10 and a radius of 5

the radius times itself ( 5 x 5 ) = 25

25 times pi (3.14) = 78.5

so the circle is 78.5, lets say square cm.

and the circumference is 31.41593 or 31.42  

we need to find the center point and the length of the radius. The center point is at 5. 1.  so h = 5  and  k = 1

Now let’s count from the center to a point on the circumference to find the length of the radius. 5

The radius is 5 so  r = 5

Now let’s plug everything into the standard form of a circle.

(x - h)²+ (y - k)² = r²

We can simply multiply the subsequent probabilities of losing each game. = 12.9%.

According to our question-

we can simply multiply the subsequent probabilities of losing each game. So (3/5 * 3/5

* 3/5 * 3/5)

= 81/625

= .129 = 12.9%

Hence, We can simply multiply the subsequent probabilities of losing each game. = 12.9%.

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The more consistent the results given by repeated measurements, the higher the precision of the measurement procedure.

Precision refers to the degree of agreement or reproducibility among multiple measurements of the same quantity. When repeated measurements yield similar results with little variation, it indicates a high precision. This suggests that the measurement procedure has a low level of random error or uncertainty.

Precise measurements are valuable because they provide reliable and consistent information about the quantity being measured, allowing for more accurate comparisons, analyses, and conclusions. Precision is an important characteristic of any measurement procedure to ensure the reliability and validity of the obtained data.

Therefore, the more consistent the results given by repeated measurements, the higher the precision of the measurement procedure.

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Develop similarity measures by applying the Jaccard index formula to the membership degrees of the fuzzy sets and use these measures for clustering objects based on their fuzzy characteristics.

The question is asking about new similarity measures of intuitionistic fuzzy sets based on the Jaccard index and their application to clustering.

To answer the question, first, let's understand what fuzzy sets and clustering are. Fuzzy sets are a generalization of classical sets where an element can have a degree of membership ranging between 0 and 1. Clustering, on the other hand, is a technique used to group similar objects together based on their characteristics.

Now, the question specifically mentions the Jaccard index as a basis for similarity measures. The Jaccard index is a measure of similarity between two sets, which is calculated as the ratio of the intersection of the sets to the union of the sets.

To develop new similarity measures for intuitionistic fuzzy sets based on the Jaccard index, you can apply the Jaccard index formula to compare the membership degrees of the elements in the fuzzy sets. The resulting similarity measure will provide a quantitative value indicating the degree of similarity between the sets.

These new similarity measures can then be applied to clustering. In clustering, the similarity measures between objects are used to determine the groupings. By utilizing the Jaccard index-based similarity measures for intuitionistic fuzzy sets, you can cluster objects based on their fuzzy characteristics and similarities.

In summary, the question asks about new similarity measures of intuitionistic fuzzy sets based on the Jaccard index and their application to clustering. To answer this, you can develop similarity measures by applying the Jaccard index formula to the membership degrees of the fuzzy sets and use these measures for clustering objects based on their fuzzy characteristics.

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The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

a) Here the area of the parallelogram determined by d and e is given as 10. The area of the parallelogram is given as `|d×e|`.

We have,

d=(2,4)

and e=(4k,3k)

Then,

d×e= (2 * 3k) - (4 * 4k) = -10k

Area of parallelogram = |d×e|

= |-10k|

= 10

As we know, area of parallelogram can also be given as,

|d×e| = |d||e| sin θ

where, θ is the angle between the two vectors.

Then,10 = √(2^2 + 4^2) * √((4k)^2 + (3k)^2) sin θ

⇒ 10 = √20 √25k^2 sin θ

⇒ 10 = 10k sin θ

∴ k sin θ = 1

Therefore, sin θ = 1/k

Hence, the value of k is 1.

Part(b) The volume of the parallelepiped determined by vectors a, b and c is given as,

| a . (b × c)|

Here, a=(1,1,2),

b=(5,3,λ), and

c=(4,4,0)

Therefore,

b × c = [(3 × 0) - (λ × 4)]i + [(λ × 4) - (5 × 0)]j + [(5 × 4) - (3 × 4)]k

= -4i + 4λj + 8k

Now,| a . (b × c)|=| (1,1,2) .

(-4,4λ,8) |=| (-4 + 4λ + 16) |

=| 12 + 4λ |

Therefore, the volume of the parallelepiped is 12 + 4λ.

Part(c) The vector component of a + c orthogonal to c is given by [(a+c) - projc(a+c)].

Here, a=(1,1,2) and

c=(4,4,0).

Then, a + c = (1+4, 1+4, 2+0)

= (5, 5, 2)

Now, projecting (a+c) onto c, we get,

projc(a+c) = [(a+c).c / |c|^2] c

= [(5×4 + 5×4) / (4^2 + 4^2)] (4,4,0)

= (4,4,0.5)

Therefore, [(a+c) - projc(a+c)] = (5,5,2) - (4,4,0.5)

= (1,1,1.5)

Therefore, the vector component of a + c orthogonal to c is (1,1,1.5).

Conclusion: The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

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Answer: A point in geometry/math is a location that has no size, meaning it has no width, no length, and no depth.

Answer:

A point in geometry is a location

Step-by-step explanation:

It has no size, no width, no length, and no depth. A point is shown by a dot.

Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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Because they do not support survival and reproduction, undesirable features are chosen against and inherited less frequently over time.

By examining the connection between natural selection and evolution, Darwin's theory of evolution is examined. Controlling natural selection in an interactive population will help you achieve this. Each species displays.

For instance, while some beetles are brown, others are green. Not every member of a population will live long enough to reproduce. Those that do pass on their traits to their progeny.

Evolution and Natural Selection A species' members do not all resemble one another. Each species displays. For instance, while some beetles are brown, others are green. Not every member of a population will live long enough to reproduce. Those that do pass on their traits to their progeny.

Because they do not support survival and reproduction, undesirable features are chosen against and inherited less frequently over time.

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