A = {a,b, {a), c, {a,b)
kümesi veriliyor
Buna gore asagidakilerden hangisi A kümesinin alt
kümelerinden biri değildir?
A) (a)
C) (a, b)
D
E) (b)​

Answer:

Option D

Step-by-step explanation:

x is given to be 4 in this case, so all we would have to is plug it into the following function -

\(f ( x ) = \left \{ {{x - 2, x < 4 } \atop {x + 2, x \geq 4 }} \right\)

Through substitution, you would receive the following function -

\(f ( x ) = \left \{ {{2, 4 < 4 } \atop 6, 4 \geq 4 }} \right\)

Now the graph proves that this function is closer to 4, and thus proves that the y - coordinate is about 2 at the same time. However, the graph is cut off, so the limit doesn't exists.

Answer:

=5x

Step-by-step explanation:

3x+2x

=3x+2x

=x+x+x+x+x

=5x

Step-by-step explanation:

step 1. 3x + 2x = 5x. that is the answer.

one solution: (1, 4)

The equations:

y = -x + 5

y = -5x + 9

To plot the graphs, we can assign values to x. The we get the corresponding values of y for each of the equation.

Rewritting the two equations by making y the subject of formula:

Plotting the graphs:

The point of intersection of the graphs is the solution.

There is one solution: (1, 4)

Step 1

Pick two consecutive points and find the equation of a straight line.

(7,-1) and (5,0)

Equation of a straight line

y = mx + c

for (7,-1)

-1 = 7m + c ....................... equation 1

for (5,0)

0 = 5m + c ...................... equation 2

make c subject of relation from equation 2

c = -5m

Substitute c in equation 1

-1 = 7m - 5m

-1 = 2m

m = -1/2

c = -5(-1/2)

c = 5/2

From the equation above, the table shows a linear function.

Every x input in the equation, give the correct y output.

Answer:

1.  x = -1  y= -2
2. infinitely many solutions

3. x = 6 y= -7

4.no solution

5. x = -3 y = -17

6. x= 3 y = 7

Step-by-step explanation:

1) y=x-1

7x+6y= -19

6y= -19 -7x

y= (-7x-19)/6

since x-1 and (-7x-19)/6 are both equal to y they are equal to each other

this is how to get x

x-1 = (-7x-19)/6

6x-6 = -7x-19

13x = -13

x = -1

now put back -1 in the equation to get y

y=x-1

y = -1 -1

y= -2

2)-10x+2y=-12

y=5x-6

2y= -12 + 10x

y= -6 + 5x

y = 5x - 6

5x-6 = 5x - 6

0 = 0

when something is

equal to itself its

infinitely many solutions

(when something is not equal to something its no solution)

((when something is equal to just one answer its one solution)

3) y= -4x+17

y=x-13

-4x+17 = x-13

30 = 5x

x = 6

y=x-13

y=6-13

y= -7

4) -3x-15y=8

x+5y=5

-3x-15y=8 -> y = -1/15(3x-8)

5y=5-x -> y= 1/5 (5-x)

-1/15(3x-8) = 1/5 (5-x)

-x-8/3 = 5-x

0 = 23/3

(when something is not equal to something its no solution)

5) -3x+6y=-3

3x-y=8

-3x+6y= -3 -> y = 1/6(3x-3)

3x-y=8 -> y = 3x-8

1/6(3x-3) = 3x-8

3x-3 = 18x-48

x-1 = 6x - 16

5x = -15

x = -3

3x-y=8

3(-3)-y=8

-9-8 = y

y = -17

6) -6x+6y=24

-3x-8y=1

-6x+6y=24 -> y = 1/6(6x+24) -> y = x+4

-3x-8y=1 -> -3x-1 = 8y -> y = 1/8 (-3x-1)

1/8 (-3x-1) = x+4

-3x-1 = 8x+32

11x = 33

x= 3

-6x+6y=24

-6(3)+6y=24

-18 + 6y = 24

6y = 24 + 18

6y = 42

y = 7

According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

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Answer:

its 15

Step-by-step explanation:

i took the quiz and google

Answer:

15 lollsss

Step-by-step explanation:

Keegan's error is assuming that the product of the slopes of any two sides of a triangle should be -1 for the triangle to be a right triangle.

To determine if the triangle LMN is a right triangle, Keegan should instead calculate the lengths of the three sides of the triangle and check if they satisfy the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

To correct his approach, Keegan should calculate the lengths of sides LM, MN, and NL using the coordinates of the vertices and then check if the Pythagorean theorem holds true.

If the squared length of one side is equal to the sum of the squares of the other two sides, then the triangle LMN is a right triangle.

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The number of possibilities for 8 of 37 servers to fail is 38608020

From the question, we have

Total number of servers, n = 37

Numbers to servers that fail, r = 8

The number of ways for 8 serves to fail is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 37 and r = 8

Substitute the known values in the above equation

Total = ³⁷C₈

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 37!/29!8!

Evaluate

Total = 38608020

Hence, the number of ways is 38608020

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In the rectangle opposite sides are parallel then we can clasify it as a parallelogram and a trapezoid.

In the given question we have to explain the classification of rectangle.

Additionally, a parallelogram has the following characteristics: congruent opposite angles and sides.

As we know in a rectangle have four sides sides in which opposites sides are congruent.

When in a rectangle all angles are of the measure of 90 degree then it is called as a parallelogram.

As in the rectangle opposite sides are parallel then we can clasify it as a parallelogram and a trapezoid.

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The height is 230 feet after 9.125 seconds.

We have the  equation that describes the height of the object as a function of time as:

h(t) = -16t^2 + 145t + 2

We input the values and simplify:

-16t^2 + 145t + 2 = 230

-16t^2 + 145t - 228 = 0

we can use the quadratic formula, to solve this quadratic equation,

t = (-b ± √(b^2 - 4ac)) / 2a

where a = -16, b = 145, and c = -228.

t = (-145 ± √(145^2 - 4(-16)(-228))) / 2(-16)

t = (-145 ± √ (21025)) / (-32)

t = (-145 ± 145) / (-32)

t = 0.625 seconds or t = 9.125 seconds

In conclusion, the height is 230 feet after 9.125 seconds.

#complete question:

An object is thrown upward at a speed of 145 feet per second by a machine from a height of 2 feet off the ground. The height h of the object after t seconds can be found using the equation

When will the height be 230 feet?

a) The maximum value for this data set is 31, the minimum value is 11 and the median value is 15.5.

b) Q1 13.5

Q2 15.5

Q3 24

c) 10.5

d) lower than 11 or higher than 31

e) Yes.

f) This data set is slightly positively skewed.

The median is the middle value of a set of data when the values are arranged in numerical order. It is used to find the middle value of a set of numbers or observations.

A. The values can be plotted on the boxplot as follows:

Maximum: 31

Minimum: 11

Median: 15.5

B. To find Q1, Q2 and Q3, the data must first be sorted from lowest to highest: 11; 13; 14; 15; 15; 16; 21; 26; 30; 31. Q1 is the median of the lower half of the data set (11, 13, 14, 15 and 15), which is 13.5. Q2 is the median of the entire data set (15.5). Q3 is the median of the upper half of the data set (16, 21, 26, 30 and 31), which is 24. The values can be plotted on the boxplot as follows:

Q1: 13.5

Q2: 15.5

Q3: 24

C. The Interquartile Range (IQR) is calculated by subtracting Q1 from Q3: IQR = Q3 - Q1 = 24 - 13.5 = 10.5.

D. Outliers are values that are significantly greater or lower than the majority of the data set. In this data set, values that are lower than 11 or higher than 31 would be considered outliers.

E. Yes, this data set has outliers. The value 11 is significantly lower than the majority of the data set, and the value 31 is significantly higher than the majority of the data set.

F. This data set is slightly positively skewed, as the majority of the data points are clustered around the lower end of the range, and there is a longer tail of higher values. This is indicated by the fact that the median (15.5) is lower than the mean (19.4).

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a) The maximum value of the given dataset is 31, while the minimum value is 11 and the median is 15.5.

b) Q1 = 14,

Q2 = 15.5,

Q3 = 21

c) (IQR) = 7

d) Any values below 11 or above 31

e) Yes

f) slightly positively skewed.

Median is a measure of central tendency that is calculated by taking the middle value of a set of numbers when the values are arranged in ascending or descending order.

a) Maximum value: 31,

Minimum value: 11,

Median value: 15.5

b) Q1 = 14,

Q2 = 15.5,

Q3 = 21

c) The Interquartile Range (IQR) is calculated by subtracting Q1 from Q3:

Inter Quartile Range (IQR) = Q3-Q1

=21-14

= 7

d) Any values below 11 or above 31 can be considered as outliers.

As 11 is the lowest value given and 31 is the highest value.

e) Yes, this data set has outliers. The values 31 and 11 are both outliers since they are beyond the range of the Inter Quartile Range (IQR).

The value 11 is significantly lower than the majority of the data set, and the value 31 is significantly higher than the majority of the data set.

f) This data set is slightly positively skewed.

As the majority of the data points are clustered around the lower end of the range, and there is a longer tail of higher values.

This is indicated by the fact that the median (15.5) is lower than the mean.

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Answer:

c.

0.1824

Step-by-step explanation:

The computation of the decay factor is as follows;

= (1 - decrease percentage) × (1 - decrease percentage) × (1 - decrease percentage)

= (1 - 0.2) × (1 - 0.4) × (1 - 0.62)

= (0.8) × (0.6) × (0.38)

= 0.1824

hence, the decay factor is 0.1824

Therefore the option c is correct

The value of function which cross the y-axis at point (0, 7) will be;

⇒ y = x + 7

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The point which cross the function = (0, 7)

Now,

Since, The point which cross the function = (0, 7)

Hence, The point must be satisfy the function.

By option (1);

⇒ y = x + 7

Put (x, y) = (0, 7)

⇒ 7 = 0 + 7

⇒ 7 = 7

Thus, The correct function which passes through the point (0, 7) is,

⇒ y = x + 7

Option (i) is true.

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The equation of the line that is parallel and perpendicular to y = -8x + 6 and passes through the point (7, 5) are y = -8x + 61 and  \(y = \frac{1}{8}x + \frac{33}{8}\) respectively.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the original line:

y = -8x + 6

Using the slope intercept:

Slope m = -8

Since the desired line is parallel, it will have the same slope.

Therefore, the slope of the parallel line is also -8.

Plug in the slope m = -8 and the poin (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

( y - 5) = -8( x - 7 )

Simplify

y - 5 = -8x + 56

y = -8x + 56 + 5

y = -8x + 61

The equation of the parallel line is y = -8x + 61.

For the perpendicular line:

The slope of the perpendicular line will be the negative reciprocal of -8, which is 1/8.

Hence, plug slope m = 1/8 and point (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

\(y - 5 = \frac{1}{8} ( x + 7 )\\\\y - 5 = \frac{1}{8}x + \frac{7}{8} \\\\y = \frac{1}{8}x + \frac{7}{8} + 5\\\\y = \frac{1}{8}x + \frac{33}{8}\)

Therefore, the perpendicular line is \(y = \frac{1}{8}x + \frac{33}{8}\).

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Answer:

Step-by-step explanation:

The probability that more than one coin lands heads when three coins are flipped can be calculated as follows:

There are a total of 2^3 = 8 possible outcomes for flipping three coins.

Outcomes where more than one coin lands heads:

HHT (2 heads)

HTH (2 heads)

THH (2 heads)

HTT (1 head)

THT (1 head)

TTH (1 head)

So, there are 6 favorable outcomes.

Therefore, the probability of getting more than one heads when three coins are flipped is 6/8 = 3/4 = 3/4.

Answer:

Part A:

Let x be the amount the artist receives for her products this week. Then, the absolute value equation that represents the scenario is:

|250 - x| ≤ 25

Part B:

To solve the equation, we need to consider two cases:

Case 1: 250 - x ≤ 25

In this case, we have:

250 - x ≤ 25

x ≤ -225

x ≥ 225

Case 2: 250 - x ≥ -25

In this case, we have:

250 - x ≥ -25

x ≥ -275

x ≤ 275

Therefore, the solution to the absolute value equation is:

225 ≤ x ≤ 275

Part C:

The minimum amount the artist received for her products is $225, and the maximum amount is $275.

Step-by-step explanation:

The t-test value for the given collected data of hours of studying and exam grade is equal to 10.45.

As given in the question,

n = 5

Mean of the data ( time ) μ₁ = ( 1+ 3 + 4 + 3+ 6)/ 5

                                           = 3.4

Mean of the exam grade μ₂  = ( 55 + 75 + 80 + 85 + 99) / 5

                                           = 78.8

Standard deviation of time σ₁ = 1.82

Standard deviation of exam grade σ₂ = 16.04

Standard error of time = σ₁/√n

                                   = 1.82 / √5

                                   =0.81

Standard error of time =σ₂/√n

                                   = 16.04/ √5

                                   =7.17

Difference in mean of time and exam grade  = 78.8 - 3.4

                                                                      = 75.4

Standard error of difference 'S.E'= √ (0.81)² + (7.17)²

                                            = 7.215

t - test for the given data

= | μ₁ -  μ₂| / S.E.

= | 3.4 - 78.8| / 7.215

= 75.4 / 7.215

= 10.45

P value and statistical significance:

Two-tailed P value is smaller than 0.0001

Therefore, the t-test value for the given collected data is equal to 10.45.

The above question is incomplete , the complete question is:

Researchers have collected data on the hours of studying in a week and the exam grade of a student. you are given the data below (10 points). hint: this questions is similar to q1 in hw7.

hours of studying                            exam grade

1                                                       55

3                                                      75

4                                                      80

3                                                      85

6                                                      99

Calculate the t -test and interpret the data?

The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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Polynomials are algebraic expressions with several terms, in which each of them is the mutiplication of some constant by some variable raised to some non negative intger. Polynomials have applications in many problems in the real world, let's discuss some of them.

Polynomials to determine how much we need to pay.

Think of this situation: You go shopping and you would like to buy some jeans, some shirts and some shoes. Suppose the price tag is nowhere around but you'd like to take the things you choose with you so you have the correct size on the way out. Since you don't know the prices yet you can asign a variable to the price of each time you choose, let's say x for the jeans, y fot the shirst and z for the shoes. Let's assume you picked 4 jeans, 5 shirst and 2 pairs of shoes, then the cost for all of them will be represented by the polynomial:

Once you know the price of each item you can plug them in the expression to determine the total price of them.

Polynomials in physics.

In physics the polynomials are a common ocurrence, for example, the distance and object falls from a certaing height h is given by the equation:

Notice how the right side of the equation is a polynomial since the height h and the accelaration a are constants; then the expression that determines the distance the object has fallen is a polynomial of second degree in t.

Another example in physics of a polynomial is the total mechanical energy of an object with mass m, this is given by the polynomial:

Since the mass of the object m, and the acceleration of the gravity g are constants this is a polynomial of the variables h (the height of the object) and the velocity v. Once we know this we can determine the total mechanical energy of the object and this will helps us to predict the future motion given some conditions.

Polynomials in economics.

Usually we can express the cost of producing an amount x of certain item with a polynomial on x. Also we can express the revenue also as a polynomial on x.

If we would

Step-by-step explanation:

the 2 Brothers got the remaining 1/4.

and together that is 10000 × 2 = 20000

so,

1/4 = 20000

then 4/4 = 1 = 20000 × 4 = 80000

so, the whole fund had RS 80000.

Answer:

No

Step-by-step explanation:

the reason why i said nonis cause 96+123+106+72=397 which means he still needs 13 more

Answer:

Step-by-step explanation:

Step-by-step explanation:

The definite integral of sin^5(x)dx from 0 to pi/2 can be evaluated using the method of substitution.

Let u = sin(x), then du = cos(x)dx

The integral becomes:

∫sin^5(x)dx = ∫u^5du from 0 to sin(π/2)

= (u^6)/6 evaluated at sin(π/2) and 0

= (sin^6(π/2))/6 - 0

= (1^6)/6

= 1/6

So, the definite integral of sin^5(x)dx from 0 to pi/2 is equal to 1/6.

Answer:

Use the coordinate plane to plot the point (3, 6). Then complete the statements that explain how to plot the point. Start at the origin.  Move 3 units right Move 6 units up Plot a point there.

Step-by-step explanation:

To plot the point, start at the origin. Move 3 units right and Move 6 units upwards to plot a point (3  6).

A coordinate plane is a plane in which a set of two number lines are represented, horizontal line is called x-axis and vertical line is called y-axis.

The given point is  (3, 6).

The coordinate plane to plot the point (3, 6) is shown below.

To plot the graph of point (3, 6) on coordinate plane,

Start at the origin. Move 3 units right and Move 6 units upwards to plot a point (3  6).

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The solution of Quadratic Equation is x= 7/3 or x= -2.

The process of factorisation involves dividing mathematical algebraic formulas into the sum of their factors. When the factors are multiplied once more, the original phrase is obtained.

Given:

3x² + x - 14=0.

Now, using Splitting the mid term we get

3x² + x - 14=0

3x² + 6x - 7x - 14=0

3x(x+ 2) -7 (x+2)= 0

(3x -7)(x+2)= 0

3x-7 = 0 or x+ 2 =0

x= 7/3 or x= -2.

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Answer:

4 1/2

Step-by-step explanation:Because 2x2 =4 and 2x1/4 = 1/2 so it is 4 1/2

Answer:

65,536 kg

Step-by-step explanation:

In mathematic terms, the expression 6p is written as 6 times p.

Mathematic terms

Mathematic terms means a single mathematical expression. The terms may be a single number, a single variable, several variables multiplied but never added or subtracted. Some of the terms contain variables with a number in front of them.  Those number in front of a term is called a coefficient.

Given,

Here we have the expression 6p.

Now, we have to write it as a mathematic term.

While we looking into the expression 6p.

The only operation word in this expression is p which is multiplied with the constant that is the number 6.

So, in the verbal phrase it can be written as 6 times p.

Here p take any valid number in the real numbers.

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