innequality of |2x+7|+9 >18.

Answer:

\(31 {x}^{2} - 2\)

Step-by-step explanation:

\(10 {x}^{2} - 5 + 21{x}^{2} + 3 \\ 31 {x}^{2} -2\)

Answer:

its d

Step-by-step explanation:

Answer:

15x²y + 21xy²

Step-by-step explanation:

Given

3xy(5x + 7y) ← distribute by 3xy

= 15x²y + 21xy²

Answer:

15x^2+21x^21x

is your ans I hope it helps mate

#Captainpower:)

have a great day

Linear models are mathematical expressions that graph as straight lines and can be used to model relationships between two variables. Therefore, the equation of the line in slope-intercept form is: y = 2.58333t + 23.75.So, option (2) y=2.58333t+23.75

Linear models are mathematical expressions that graph as straight lines and can be used to model relationships between two variables. A linear model is useful for analyzing trends in data over time, especially when the rate of change is constant or nearly so.

For 1983 through 1989, the per capita consumption of chicken in the U.S. increased at a rate that was approximately linear. In 1983, the per capita consumption was 31.5 pounds, and in 1989, it was 47 pounds. Let t represent time in years, where t = 3 represents 1983. Let y represent chicken consumption in pounds.

Therefore, we have to find the slope of the line, m and the y-intercept, b, and then write the equation of the line in slope-intercept form, y = mx + b.

The slope of the line, m, is equal to the change in y over the change in x, or the rate of change in consumption of chicken per year. m = (47 - 31.5)/(1989 - 1983) = 15.5/6 = 2.58333.

The y-intercept, b, is equal to the value of y when t = 0, or the chicken consumption in pounds in 1980. Since we do not have this value, we can use the point (3, 31.5) on the line to find b.31.5 = 2.58333(3) + b => b = 31.5 - 7.74999 = 23.75001.Rounding up, we get b = 23.75, which is the y-intercept.

Therefore, the equation of the line in slope-intercept form is:y = 2.58333t + 23.75.So, option (2) y=2.58333t+23.75 .

Learn more about Linear models here:

https://brainly.com/question/17933246

#SPJ11

The ratio of the variation between the group means and the variance within the groups is used to determine the f-statistic in an ANOVA test.

The ratio of variation between group means and variance within groups is used to determine the f-statistic in an ANOVA test. The difference between each group's means is measured, and the average of these differences is used to calculate the variance between the group means. Calculating the variance for each group and then averaging these variances yields the variance within the groups. The f-statistic is determined by dividing the variation between the group means by the variance within the groups. This statistic shows whether or not the variations in group means are noteworthy. The null hypothesis can be rejected if the f-statistic is greater than a predetermined threshold, indicating that the differences between the group means are statistically significant.

Learn more about ratio here

https://brainly.com/question/13419413

#SPJ4

The phasor form of a sinusoid represents the amplitude and phase angle of the sinusoid in complex number notation. In this case, the phasor form of \(8 sin(20t 57)\) would be 8 ∠57°. The amplitude, 8, is the magnitude of the complex number, and the phase angle, 57°, is the angle of the complex number in the complex plane.

In terms of amplitude and phase angle, a sinusoidal waveform is mathematically represented in phasor form. Electrical engineering frequently employs it to depict AC (alternating current) circuits and signals. A complex number that depicts the magnitude and phase of a sinusoidal waveform is called a phasor. The phase angle is represented by the imaginary component of the phasor, whereas the real part of the phasor represents the waveform's amplitude. Complex algebra can be used to analyse AC circuits using the phasor form, which makes computations simpler and makes it simpler to see how the circuit behaves.

Learn more about phasor here:
https://brainly.com/question/22970717

#SPJ11

1.if tip included in fare, total amount paid by Angela =(55$/x) +8$

if tip is not included in fare than total amount paid by angela = (63$/x)+8$

Explanation :-

According to qus

Total friends included Angela = x

Total fare paid by them =63$

If tip included in total fare, than total fare without tip=63-8

= 55$

Sothat,

amont paid by individual =total fare /total friends. 55$/x

If tip not include in total fare than total amount paid by individual =63$/x

a) The equation would be 25 + 16x = 201.

b) Kallik was a member of the club for 11 years.

What is an equation?

An equation is a mathematical statement that shows the equality of two expressions. It consists of two expressions separated by an equal sign (=), and the goal is to find the values of the variables that make the equation true. Equations can be used to model real-world situations, to describe relationships between variables, or to solve problems.

a. Let's call the number of years that Kallik was a member of the club "x". The equation to model the membership fees can be written as follows:

25 + 16x = 201

b. To solve for the number of years, we can subtract 25 from both sides of the equation:

16x = 176

And then divide both sides by 16:

x = 11

So Kallik was a member of the club for 11 years.

Hence,

a) The equation would be 25 + 16x = 201.

b) Kallik was a member of the club for 11 years.

To learn more about the equation, visit:

https://brainly.com/question/16107051

#SPJ1

Answer: a

Step-by-step explanation: simple math

Answer:

A: 7.5

Step-by-step explanation:

If the length is 5 inches longer than the width, we must multiply the width by 4 and add ten to figure out the perimeter. 7.5 x 4 = 30. 30 + 10 = 40.

Answer:

8

Step-by-step explanation:

40/5=8 plz trust me i need it!!!

Answer:

Store 1 Has a better deal as your paying 1.50 less which is 50 percent off

Step-by-step explanation:

Lets say a DVD costs 1.50

so if you bought 2 for the price of one it would be 1.50

3 for the price of 2 would be 3 dollars.

If you were to buy 2 CDS for the Price of 2 that would be 3 Dollars

3 CDS for the price of 3 would be 4.50

The Amount of money depends on the cost of 1 CD.

Store 1 has a 50 percent discount while Store 2 has roughly a 35 percent discount.

sorry if this was confusing^^

Answer:

B

Average speed = total diatance covered

total time taken

= 140 miles

4 hours

= 35mph

SOLUTION

From the question looking at the row for age > 45 gives use individuals over or older than 45 years. under this same first row, the number that are not color blind is 39. So we are considering 39 as the number of individuals that are over 45 years and not color blind

Total number of individuals (total outcome) is

So the required probability becomes

Hence the answer is 13/47

For each iteration of the outer loop, there are (2n + 2) operations performed. Since the outer loop iterates 5 times, the total number of operations is given by 5(2n + 2).

(a) To determine the number of operations performed by the algorithm as a function of n, let's analyze the pseudocode step by step:

The first loop "for i := 1 to 5" iterates 5 times.

Inside the first loop, the second loop "for j := 1 to n" iterates n times for each iteration of the outer loop.

Within the second loop, the line "k: 7.1 + 1" performs one addition operation.

The line "k: k + 3 - 2" performs one addition and one subtraction operation.

The loops increment the variables i and j using the "next i" and "next j" statements.

know more about iteration here;

https://brainly.com/question/31197563

#SPJ11

Answer:

Triangle perimeter = 12 + x + (x - 4) = 26 which is the equation you can use to find out the value of x.

Step-by-step explanation:

Answer:

Step-by-step explanation:

+55+%2B+.5x+=+.7x+

+.2x+=+55+

+x+=+275+

Answer:

Y-intercept: (0, -10)

X-intercepts: (5,0), (1,0)

Axis of symmetry: (3,0)

Step-by-step explanation:

You can tell what the y-intercept is by looking at the function. At the end there is a “-10”, which indicates that it’s the y-intercept.

There are many ways to find x-intercepts. You can factor the function, use the quadratic formula, or complete the square.

By factoring it, you get

-2(x-5)(x-1)=0

If one part of it equals zero, than the whole function equals zero.

So it can be split up like this

(x-5)=0

(x-1)=0

So...

x=5 and x=1 are the the zeros or (5,0) and (1,0)

Finally, you convert the function from standard form to vertex form. By doing -b/2a, you can find the x-coordinate of the vertex, which is the axis of symmetry. The answer is 3 or (3,0) because -12/2(-2)= 3.

Assuming that \( \alpha \) is an angle in standard position whose terminal side passes through the point \( (2,-\sqrt{3}) \),

sin

⁡

�

=

−

3

2

sinα=−

2

3

​

​

cos

⁡

�

=

1

2

cosα=

2

1

​

tan

⁡

�

=

−

3

tanα=−

3

​

To find the trigonometric functions of angle

�

α, we need to determine the values of the sine, cosine, and tangent of the angle.

The point

(

2

,

−

3

)

(2,−

3

​

) lies in the third quadrant of the coordinate plane. To visualize this, imagine a unit circle centered at the origin. The terminal side of the angle will intersect the unit circle at a certain point. Since the y-coordinate is negative and the x-coordinate is positive, the point will be in the third quadrant.

First, let's calculate the length of the hypotenuse using the Pythagorean theorem:

hypotenuse

=

(

2

2

+

(

−

3

)

2

)

=

4

+

3

=

7

hypotenuse=

(2

2

+(−

3

​

)

2

)

​

=

4+3

​

=

7

​

Next, we can determine the values of the trigonometric functions:

sin

⁡

�

=

opposite

hypotenuse

=

−

3

7

=

−

3

2

sinα=

hypotenuse

opposite

​

=

7

​

−

3

​

​

=−

2

3

​

​

cos

⁡

�

=

adjacent

hypotenuse

=

2

7

=

2

7

7

cosα=

hypotenuse

adjacent

​

=

7

​

2

​

=

7

2

7

​

​

tan

⁡

�

=

sin

⁡

�

cos

⁡

�

=

−

3

/

2

2

7

/

7

=

−

3

tanα=

cosα

sinα

​

=

2

7

​

/7

−

3

​

/2

​

=−

3

​

For the angle

�

α whose terminal side passes through the point

(

2

,

−

3

)

(2,−

3

​

), we have determined the values of the trigonometric functions as follows:

sin

⁡

�

=

−

3

2

sinα=−

2

3

​

​

cos

⁡

�

=

1

2

cosα=

2

1

​

tan

⁡

�

=

−

3

tanα=−

3

​

To know more about trigonometric functions, visit;
https://brainly.com/question/25618616
#SPJ11

x, y, and z are pairwise independent because any two of them are independent. x, y, and z are not mutually independent because their joint distribution does not factor into the product of their marginal distributions.

To show that the random variables x, y, and z are pairwise independent but not mutually independent, we need to examine the definitions of these concepts and demonstrate the properties.

Pairwise Independence:

Two random variables are said to be pairwise independent if any two of them are independent, regardless of the dependence on the third variable.

Mutual Independence:

Three random variables are said to be mutually independent if each pair of them is independent and their joint distribution factors into the product of their marginal distributions.

Now let's analyze x, y, and z based on these definitions.

Pairwise Independence:

To show that x, y, and z are pairwise independent, we need to demonstrate that any two of them are independent, regardless of the dependence on the third variable.

a) x and y:

Since x and y are independent Bernoulli(1/2) random variables, their outcomes do not affect each other. Therefore, x and y are independent.

b) x and z:

We need to consider the joint distribution of x and z. Let's examine all possible combinations:

If x = 0, then regardless of the value of y, z will be 0. Hence, P(x = 0, z = 0) = P(x = 0)P(z = 0) = (1/2)(1) = 1/2.

If x = 1, then z will be 1 only when y = 1. Therefore, P(x = 1, z = 1) = P(x = 1, y = 1) = P(x = 1)P(y = 1) = (1/2)(1/2) = 1/4.

If x = 1, then z will be 0 when y = 0. Therefore, P(x = 1, z = 0) = P(x = 1, y = 0) = P(x = 1)P(y = 0) = (1/2)(1/2) = 1/4.

If x = 0, then regardless of the value of y, z will be 0. Hence, P(x = 0, z = 0) = P(x = 0)P(z = 0) = (1/2)(1) = 1/2.

From the above calculations, we can see that P(x, z) = P(x)P(z) for all possible combinations of x and z. Therefore, x and z are independent.

c) y and z:

Similar to the analysis above, we can calculate the joint probabilities:

If y = 0, then regardless of the value of x, z will be 0. Hence, P(y = 0, z = 0) = P(y = 0)P(z = 0) = (1/2)(1) = 1/2.

If y = 1, then z will be 1 only when x = 1. Therefore, P(y = 1, z = 1) = P(y = 1, x = 1) = P(y = 1)P(x = 1) = (1/2)(1/2) = 1/4.

If y = 1, then z will be 0 when x = 0. Therefore, P(y = 1, z = 0) = P(y = 1, x = 0) = P(y = 1)P(x = 0) = (1/2)(1/2) = 1/4.

If y = 0, then regardless of the value of x, z will be 0. Hence, P(y = 0, z = 0) = P(y = 0)P(z = 0) = (1/2)(1) = 1/2.

From the above calculations, we can see that P(y, z) = P(y)P(z) for all possible combinations of y and z. Therefore, y and z are independent.

We have shown that any two random variables among x, y, and z are independent. Hence, x, y, and z are pairwise independent.

Not Mutually Independent:

To demonstrate that x, y, and z are not mutually independent, we need to show that their joint distribution does not factor into the product of their marginal distributions.

To do this, let's consider the joint distribution of x, y, and z. We can analyze all possible combinations:

If x = 0 and y = 0, then z will be 0. Hence, P(x = 0, y = 0, z = 0) = P(x = 0)P(y = 0)P(z = 0) = (1/2)(1/2)(1) = 1/4.

If x = 1 and y = 1, then z will be 1. Hence, P(x = 1, y = 1, z = 1) = P(x = 1)P(y = 1)P(z = 1) = (1/2)(1/2)(1/2) = 1/8.

However, if we examine the joint probability P(x = 0, y = 0, z = 1), we find that it is not equal to P(x = 0)P(y = 0)P(z = 1). In this case, P(x = 0, y = 0, z = 1) is 0 because z can only be 0 when x and y are both 0. Therefore, P(x = 0, y = 0, z = 1) ≠ P(x = 0)P(y = 0)P(z = 1).

Since the joint distribution does not factor into the product of the marginal distributions for all possible combinations, x, y, and z are not mutually independent.

To know more about pairwise independent,

https://brainly.com/question/31037593

#SPJ11

Step-by-step explanation:

म नजन्मिदै विधवा भएकी हिमाल

खै! किन हो मेरा यी हेर्ने नयनले उनलाइ

अझै पनि दिन र रातमा

सेतै लुगा पहिरिएकी देख्छ

अचम्म लाग्छ मलाइ पहिरिएकी सेतो लुगा माथि

मुनालले पाइला टेके पनि विष्ठा गरे पनि कहिल्यै

मैलो हुदैन सेतो लुगाको वास्तविक रङ

उत्तिकै सेतो देख्छु म

निर्जीव वस्तु भएनी हिमाललाइ

सजीव मनुस्यको जस्तै चोटको कल्पना गरेको छु मैले

किनकी चोटै चोटले ग्रसित भएकी उनी आजभोली

अपाङ्गको सिकार बनिसकेकी छिन

उनलाइ अन्धो भन्छु म किनकी उनी आँखा देख्दैनन

आँखा नदेखे पनि अरु कसैलाइ सुम्सुम्याउन समेत सक्दैनन

तर पनि कस्तुरी, डाफे,मुनाल,घोरल,चितुवा आदि जनावरहरुको

सहारा दिने आश्रय स्थल भएर उभिएकी छिन, के कम छिन र?

जमिन भित्र उनको खुट्टा गाडिएर होला

खुट्टाको दृश्य मैले अझै पनि देख्न पाएको छैन

कस्तो होला है! हिमालको खुट्टा ? सोचिरहन्छु म

सायद खुट्टा नै छैन र पो कहिल्यै पनि हिड्डुल गर्न सक्दैनन कि?

जब कुनै समयमा चुचुरोमा हावा बहन थाल्यो

एकदिन सेतो कपाल धरतीमा हाम फालेर

नदिहरु बढ्न थाले तर उहीँ बहेको हावाले

हिमालको श्रवण गर्ने कानको जाली

नै फुटाइदिएछ त्यही भएर म भन्छु

हिमाललाइ बहिरो पनि हुनुहुन्छ तपाईं

सधै टोलाएर बसेकी देख्छु म

रोजगारी भन्ने कुरा त उहीँ हो हिमाललाइ

बिहानीपख देखि सन्ध्या काल सम्म

प्रकृतिले बसिबसी ऐना टल्काउने

पदभार ग्रहण गराइदिएको छ जब घाम

झुल्किन्छ उनी अस्ताउन्जेल सम्म ऐना टल्काइरहन्छिन्

त्यसैले म भन्छु हिमाललाइ बिधवा भएर के भो त

खान लाउनको लागि रोजगारी मिलेकै छ क्यारे !

The value of the num will be 18 after the expression is evaluated.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that int x = 4; int y = 9 / 2; int num = 6; num *= x y; the value of num after the evaluation of the expression will be:-

num = x y

num = [ ( 4 x ( 9 / 2 ) ]

num = 9 x 2

num = 18

Therefore, the value of the num will be 18 after the expression is evaluated.

To know more about an expression follow

https://brainly.com/question/10873737

#SPJ6

Answer:

Two times the quantity of n plus one equals six times n.

Step-by-step explanation:

Answer:

two times the sum of a number and one is the same as six times the number.

Step-by-step explanation:

hope this helps

Answer:

x = 5/3, 1/3

Or

x=1.6 repeating ,0.3 repeating

The value of x using Pythagorean theorem is 14.05 units

An equation shows how two or more numbers and variables are related to each other.

Pythagoras theorem shows the relationship between the sides of a right angled triangle. It is given by:

hypotenuse² = adjacent² + opposite²

In the diagram, using Pythagoras theorem:

22² = (x + 1)² + (x + 2)²

484 = x² + 2x + 1 + (x² + 4x + 4)

2x² + 6x + 5 = 484

2x² + 6x - 479 = 0

x = 14.05

The value of x is 14.05 units

Find out more on equation at:https://brainly.com/question/2972832

#SPJ1

For the quadrilateral ABCD the statement which proves that this quadrilateral is not a rectangle is (a) The slope of CD is "(-5-1)/(-5-5) = 3/5", and the "slope of DA is [3-(-5)]/[-3-(-5)] = 8/2", these "two-segments" are not perpendicular , so the shape is not a rectangle;

The coordinates of the "four-vertices" of the quadrilateral ABCD are :

A(-3,3), B(2,6), C(5, 1), D(-5,-5);

To prove whether the quadrilateral is a rectangle or not, we need to show that its adjacent sides are perpendicular and its diagonals are congruent.

In this question, we are given the coordinates of the four vertices of the quadrilateral.

To determine if it's a rectangle, we use the slope formula to find the slopes of the sides of the quadrilateral. If slopes of adjacent sides are "negative-reciprocals" of each other, then they are perpendicular. If the slopes of the diagonals are equal, then they are congruent.

Using the given coordinates, we find that the slope of CD is = (-5-1)/(-5-5) = 3/5, and

The slope of DA is = [3-(-5)]/[-3-(-5)] = 8/2. These two slopes are not negative reciprocals of each other, so CD and DA are not perpendicular.

So, the quadrilateral is not a rectangle.

Therefore, the correct option is (a).

Learn more about Slope here

https://brainly.com/question/29149364

#SPJ1

The given question is incomplete, the complete question is

The coordinates of the "four-vertices" of the quadrilateral ABCD are :

A(-3,3), B(2,6), C(5, 1), D(-5,-5);

Which statement proves whether or not this quadrilateral is a rectangle?

(a) The slope of CD is (-5-1)/(-5-5) = 3/5, and the slope of DA is 3-(-5)/-3-(-5)=8/2, these two segments are not perpendicular , so the shape is not a rectangle;

(b) The slope of AB is (6-3)/(2-(-3) = 3/5, and slope of BC is (6-1)/(2-5) = -5/3, these two segments are perpendicular , so the shape is a rectangle;

(c) The slope of BC is (6-1)/(2-5) = -5/3, and slope of CD is (-5-1)/(-5-5) = 3/5, these two segments are not perpendicular, so the shape is not a rectangle;

(d) The slope of AB is (6-3)/(2-(-3) = 3/5, and slope of CD is (-5-1)/(-5-5) = 3/5, these two segments are perpendicular , so the shape is a rectangle;

By substituting the values of the total acceleration and the angle θ, we can calculate the x and y components of the acceleration.

Remember to consider the coordinate system selected in part b and any given information to determine if there are forces acting in the x and y directions. If there are, you can use the equations above to calculate the x and y components of the acceleration.

To find the x and y components of the acceleration of the box, we need to consider the coordinate system that was selected in part b.

In a Cartesian coordinate system, the x-axis represents horizontal motion and the y-axis represents vertical motion. The acceleration of an object can be broken down into its x and y components.

To find the x-component of the acceleration (ax), we look at the acceleration in the horizontal direction. This could be due to forces like friction or an applied force. If there are no horizontal forces acting on the box, the x-component of the acceleration would be zero.

To find the y-component of the acceleration (ay), we look at the acceleration in the vertical direction. This could be due to forces like gravity or a normal force. If there are no vertical forces acting on the box, the y-component of the acceleration would also be zero.

However, if there are forces acting on the box in both the x and y directions, we can calculate the x and y components of the acceleration using trigonometry. Let's say the total acceleration of the box is represented by a, and the angle it makes with the x-axis is represented by θ.

The x-component of the acceleration (ax) can be calculated using the equation:

ax = a * cos(θ)

The y-component of the acceleration (ay) can be calculated using the equation:

ay = a * sin(θ)

By substituting the values of the total acceleration and the angle θ, we can calculate the x and y components of the acceleration.

Remember to consider the coordinate system selected in part b and any given information to determine if there are forces acting in the x and y directions. If there are, you can use the equations above to calculate the x and y components of the acceleration.

To know more about the word vertical direction, visit:

https://brainly.com/question/33312142

#SPJ11

s orbital mentioned

Note that for all n shells electrons per shell is fixed like for p it's 6 and for d it's 10

Rule for electron in nth shell=2n²

Answer:

There are 68,640 different ways the runners can finish first, second, and third in the race.

Concept of Permutations

The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.

Brief Overview

Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.

Calculations

To calculate the total number of different ways, we multiply the number of choices for each position:

42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.

Concluding Sentence

Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.

\(28 {x}^{2} {y}^{2} - 21 {x}^{2} {y}^{3} \\ 7 {x}^{2} {y}^{2} (4 - 3y)\)

PLEASE GIVE BRAINLIEST