In the figure shown, line AB is parallel to line CD. Part A: What is the measure of angle x? Show your work. (5 points) Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points) AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 65 degrees, angle QPR is equal to x, angle PRD is equal to 120 degrees.

Answer:

x<9

Step-by-step explanation:

-5(x-1)>-40

x-1>-40/-5

x-1>8

x>8+1

x>9

x<9

The solution of the inequality - 5(x - 1) > -40 will be;

⇒ x < 9

And, The solution of the inequality is shown in number line.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - 5(x - 1) > -40

Now,

Solve the inequality as;

The inequality is,

⇒ - 5(x - 1) > -40

⇒ - (5x - 5) > - 40

⇒ 5x - 5 < 40

Add 5 both side,

⇒ 5x - 5 + 5 < 40 + 5

⇒ 5x < 45

Divide by 5, we get;

⇒ x < 9

Thus, The solution of the inequality - 5(x - 1) > -40 will be;

⇒ x < 9

And, The solution of the inequality is shown in number line.

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Answer:

20% i believe

Step-by-step explanation:

i looked it up actually lol

Answer:

The percentage change is a 20% increase

Answer:

I'm so sorry! I tried to make a graph online. I can try to show my work, but I don't know how long that will take. Everyone in my house is sleeping, so I'm trying not to wake anyone up. Sorry for the inconvenience, but comment if you need anything. I'll try to comment the Domain and Range for both equations, hold on.   >w<

Just to let you know: for the "Inverse.pdf" or "attachment2" the equation should be [tex]f^-^1= \frac{ln (x)}{ln (5)}[/tex]

Answer:

-14

Step-by-step explanation:

Hello,

Let's have a look at this figure and think about how are these two angles related to each other. These two angles are vertically opposite angles, and any two vertically opposite angles should be equal to each other.

Because the two angles should be equal to each other, we can equate the two equations together and solve for x.

9x + 184 = 7x + 156

9x - 7x = 156 - 184

2x = -28

x = -14

Answer:

Alfredo está en lo correcto porque los números negativos se encuentran a la izquierda del cero y mientras más a la izquierda se encuentra un número negativo, más pequeño será y a medida que te desplazas hacia la derecha mayor será el número. Puedes representar los dos números en una recta numérica de la siguiente forma:

___________________________________________________________

-14   -13    -12    -11    -10    -9    -8    -7    -6    -5    -4    -3    -2    -1    0    1    2    3

Como se ve aquí, -14 se encuentra a la izquierda de -10 y esto significa que es menor. Por esto, Alfredo está en lo correcto al decir que -14 es menor.

The contraction of the diaphragm causes an increase in the volume of the chest cavity, leading to the correct answer, option 'D'.

The diaphragm is a dome-shaped muscle located at the bottom of the chest cavity. When it contracts, it flattens and moves downward. This contraction of the diaphragm plays a crucial role in the process of inhalation or inspiration.

During inhalation, the diaphragm contracts, which causes it to move downward. This downward movement creates more space in the chest cavity, leading to an increase in its volume. As a result, the lungs expand, and air rushes in from the external environment to fill this increased space. This process allows oxygen to be drawn into the lungs for respiration.

Therefore, option 'D' is the correct answer because the contraction of the diaphragm causes an increase in the volume of the chest cavity, facilitating inhalation or inspiration.

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Answer:

It can be calculated by finding the difference between the two angles. Half of this difference will be the angle that is required.

Therefore

236 - 124 = 112

Tanget-tanget angle = 112 / 2 = 56 degrees

Answer:

B)All the real numbers

Step-by-step explanation:

the given Graph is Parabola

so the function has to be quadratic

we know that the domain of a quadratic function is always [tex]x\in\mathbb{R}[/tex]

hence, our answer is B

The test that can be used to assess whether variances are equal between multiple groups is the Levene test.

The Levene test is a hypothesis test for the equality of variances in a statistical population. It is named after the American statistician Howard Levene. It is commonly used to check the null hypothesis of homoscedasticity or equal variances across k groups. The test is used to determine if two or more groups have different variances or if the variance is unequal. The null hypothesis of the Levene test is that the variance of the populations from which the groups are drawn is equal. The Levene test is an alternative to the F-test for equal variances. Therefore, it can be concluded that the Levene test can be used to assess whether variances are equal between multiple groups.

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(2x + 3) (x^2 - 6x + 9)

Answer:

I would say C or B

Step-by-step explanation:

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The set has a size of 1, which is the largest possible size for a subset that is common to A and B.

To find a set of largest possible size that is a subset of both A and B, we need to find the common elements of A and B.

The common element of A and B is 10. Therefore, any subset of A and B that is of largest possible size must include 10.

One possible set of largest possible size that is a subset of both A and B is:

{10}

This set has a size of 1, which is the largest possible size for a subset that is common to A and B.

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The instrument uncertainty in e/m for each data point is calculated using error propagation.

e/m = 3.125x10^6 V/r^2I^2

From the given equation above, the formula for error propagation required in experiment step 8 can be derived. The error propagation formula is given as;Δe/m = (e/m)(ΔV/V + 2Δr/r + 2ΔI/I)

The voltage is changed to 400 V for the third dataset. The instrument uncertainties in V, I, and r are to be estimated.

The last digit place read from the power supplies is used as the uncertainties V and I. The uncertainty in r should be estimated from the thickness of the beam path.

Estimation of instrument uncertainties in V, I, and r:For V, the reading is up to 0.1 V.

Hence, the uncertainty in V isΔV = 0.1 VFor I, the reading is up to 0.01 A.

Hence, the uncertainty in I isΔI = 0.01 AFor r, the thickness of the beam path is given as 0.25 cm. Hence, the uncertainty in r isΔr = 0.25 cm

The instrument uncertainty in e/m for each data point is to be calculated using error propagation.

Data for three datasets are given below;

Data Set 1: V = 200 V, r = 0.56 cm, I = 0.2 AData Set 2: V = 300 V, r = 0.56 cm, I = 0.2 AData Set 3: V = 400 V, r = 0.56 cm, I = 0.2 A

For Data Set 1;e/m = 3.125 x 106 × 200/ (0.56)2 (0.2)2= 1.75867 × 1011 C/kgΔe/m = (1.75867 × 1011)(0.1/200 + 2(0.25/0.56) + 2(0.01/0.2))= 1.78853 × 1010 C/kg

For Data Set 2;e/m = 3.125 x 106 × 300/ (0.56)2 (0.2)2= 2.63800 × 1011 C/kgΔe/m = (2.63800 × 1011)(0.1/300 + 2(0.25/0.56) + 2(0.01/0.2))= 1.70314 × 1010 C/kg

For Data Set 3;e/m = 3.125 x 106 × 400/ (0.56)2 (0.2)2= 3.51733 × 1011 C/kgΔe/m = (3.51733 × 1011)(0.1/400 + 2(0.25/0.56) + 2(0.01/0.2))= 1.61057 × 1010 C/kg

Hence, the instrument uncertainty in e/m for each data point is calculated as;

For Data Set 1, Δe/m = 1.78853 × 1010 C/kg

For Data Set 2, Δe/m = 1.70314 × 1010 C/kg

For Data Set 3, Δe/m = 1.61057 × 1010 C/kg

Therefore, the instrument uncertainty in e/m for each data point is calculated using error propagation.

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(a) The norm of the function u = x is ||u|| = √(1/3). (b) The norm of the function v = x + 1 is ||v|| = √(11/3). (c) The inner product of functions f and g is (f, g) = integral from 0 to 1 of f(x)g(x) dx. (d) The angle between u = x and v = x + 1 is arccos(-1/3).

(a) To find the norm of the function u = x, we calculate ||u|| = √((u, u)). Using the given inner product, we have ||u|| = sqrt(integral from 0 to 1 of x² dx) = √(1/3).

(b) To find the norm of the function v = x + 1, we calculate ||v|| = √((v, v)). Using the given inner product, we have ||v|| = sqrt(integral from 0 to 1 of (x + 1)² dx) = √(11/3).

(c) The inner product of functions f and g is given by (f, g) = integral from 0 to 1 of f(x)g(x) dx. The specific functions f and g are not provided in the question, so we cannot determine their inner product without additional information.

(d) The angle between two functions u = x and v = x + 1 can be found using the formula cos(∅) = (u, v) / (||u|| ||v||), where theta is the angle between u and v. Substituting the given values, we have cos(∅) = (integral from 0 to 1 of x(x + 1) dx) / (√(1/3) √(11/3)). Evaluating the integral and simplifying, we find cos(∅) = -1/3. Taking the inverse cosine, we obtain ∅ = arccos(-1/3).

Therefore, the norm of the function u = x is √(1/3), the norm of the function v = x + 1 is √(11/3), the inner product (f, g) cannot be determined without the specific functions f and g, and the angle between u = x and v = x + 1 is arccos(-1/3).

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Answer:

-2x^2 + 2x + 1

Step-by-step explanation: If you try to factorize, there are no solutions, and if you use the quadratic formula, you don't get 2 solution for x

The ratio of students who wish they had x-ray vision to all students: 2:9

The ratio of students who wish for flight to all students: 3:1

The ratio of students who wish for flight to those who wish for invisibility: 6:1

1. The ratio of students who wish they had x-ray vision to all students: 2:9

This means that out of a group of students, there are 2 students who wish they had x-ray vision for every 9 students in total.

2. The ratio of students who wish for flight to all students: 2:3

This ratio indicates that out of a group of students, there are 2 students who wish for the ability to fly for every 3 students in total.

3. The ratio of students who wish for flight to those who wish for invisibility: 1:6

This ratio compares the number of students who wish for flight to the number of students who wish for invisibility. It states that for every student who wishes for flight, there are 6 students who wish for invisibility.

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Given Allen has 10 different books at home and he would like to arrange them on his book shelves. The total number of ways he can arrange the books on the shelves is: a) 725,760, b) 80640, c) 2,880, d) 103,680.

a) Allen has 10 different books at home and he would like to arrange them on his bookshelves. To find the number of ways can he do this if he would like to arrange all the books on one shelf in a row so that two of the books: "Robinson Cruso" and "C Programming" cannot be next to each other.

Using permutation formula, we can get the total number of ways that he can arrange the books where two books, Robinson Cruso and C Programming, can't be next to each other:

Total number of ways = 10! - (9! x 2!)

= 725,760

b) Allen has 10 different books at home and he would like to arrange them on his bookshelves. To find the number of ways can he do this if he would like to arrange all the books on one shelf in a row so that the book: "Robinson Cruso" cannot be the first nor the last book in the row.

Using permutation formula, we can get the total number of ways that he can arrange the books, where the book Robinson Cruso cannot be the first nor the last book in the row:

Total number of ways = 8! x 2!

= 80640

c) Allen has 10 different books at home and he would like to arrange them on his bookshelves. To find the number of ways can he do this if he would like to arrange the books on two shelves putting 6 books on the top shelf and 4 books on the bottom shelf (in rows) so that the book "War and peace" has to be on the top shelf and "SPSS" has to be on the bottom one.

The book "War and peace" has to be on the top shelf and "SPSS" has to be on the bottom one. We can arrange these 2 books on the shelves in 1 way. There are 5 books remaining that he can arrange in 5! ways on the top shelf and 4 books remaining that he can arrange in 4! ways on the bottom shelf.

Therefore, the total number of ways he can arrange the books on the shelves is:

Total number of ways = 1 x 5! x 4!

= 2,880

d) Allen has 10 different books at home and he would like to arrange them on his bookshelves. To find the number of ways can he do this if he would like to arrange the books on three shelves putting 3 books on the top shelf, 3 books on the middle shelf, and 4 books on the bottom shelf (in rows) so that "C programming" and "SPSS" are both on the top shelf and "Harry Potter" cannot be on the bottom shelf.

Two of the books, "C programming" and "SPSS", are on the top shelf. We can arrange these 2 books in 2! ways.

There are 2 other books that can be arranged on the top shelf in 2! ways.

One of the books, "Harry Potter", cannot be on the bottom shelf. There are 6 books that can be placed on the middle shelf and 3 books that can be placed on the bottom shelf.

Therefore, the total number of ways he can arrange the books on the shelves is:

Total number of ways = 2! x 2! x 6! x 3!

= 103,680

Answer: a) 725,760b) 80640c) 2,880d) 103,680

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Answer:

The value of x is 5 that represents the searched number

Step-by-step explanation:

Let us assume x be the number [^ 2] i.e. squared.

Now  

x^2  -10 = 3x

This is a quadratic equation

x^ 2 - 3x - 10 = 0

x^2 - 5x + 2x - 10

x (x - 5) + 2(x - 5)

(x-5) (x + 2) = 0  

x - 5 = 0 where x = 5 positive.

x + 2 = 0 where x = -2 negative.

Here we considered the positive  

The value of x is 5 that represents the searched number

Answer:

900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

Answer: Bella is correct.

Step-by-step explanation:

Let the number of weeks will it take her to save enough to buy her coveted bike be represented by w.

The information given in the question can then be formed into an equation as:

45 + 11(w) = 265

45 + 11w = 265

Collect like terms

11w = 265 - 45

11w = 220

w = 220/11

w = 20

He'll save for 20 weeks

Bella is correct.

One difference between contingency tables and the tables used in factorial designs is

B) The cells in contingency tables hold frequencies, whereas the cells in factorial analysis of variance tables represent means.

Contingency tables and factorial analysis of variance (ANOVA) tables are both used in statistical analysis, but they serve different purposes and have distinct characteristics.

Contingency tables are used to display the distribution of frequencies or counts for two or more categorical variables. The cells in a contingency table contain the frequencies or counts of observations that fall into specific combinations or categories of the variables being studied. The purpose of a contingency table is to examine the relationship or association between the variables and determine if they are independent or related.

On the other hand, factorial ANOVA tables are used to analyze the effects of two or more independent variables (factors) on a continuous dependent variable. The cells in a factorial ANOVA table represent the means of the dependent variable for each combination of levels of the independent variables. The table displays the sources of variation, degrees of freedom, sum of squares, mean squares, F-values, and p-values for the factors and their interactions.

Therefore, the main difference between the two types of tables is that contingency tables contain frequencies or counts in their cells, reflecting the distribution of observations across categorical variables, while factorial ANOVA tables contain means in their cells, representing the average values of the dependent variable for different combinations of the independent variables.

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Answer:

Volume of Cylinder 1 = π×r×r×h

= 22÷7×1×1×8

= 25.13cm

Volume of Cylinder 1 = π×r×r×h

= 22÷7×2×2×8

= 100.53cm

Volume of Cylinder 1 = π×r×r×h

= 22÷7×3×3×8

= 226.19cm

Answer:

Measure of angle A = 100°

Measure of angle B = 80°

Measure of angle C = 65°

Step-by-step explanation:

From the given picture,

Angle A and angle B are the linear pair of angles, and linear pair of angles are supplementary angles,

m(∠A) + m(∠B) = 180°

(3x - 20)° + (2x)° = 180°

5x - 20 = 180

5x = 200

x = 40

By substituting the value of x in the measures of each angle,

m(∠A) = (3x - 20)°

          = 3(40) - 20

          = 120 - 20

          = 100°

m(∠B) = 2x°

          = 2(40)

          = 80°

m(∠C) = (2x - 15)°

          = 2(40) - 15

          = 80 - 15

          = 65°