Need help also stepbystep

Answer:

y= 3x+8

Step-by-step explanation:

distribute the '3' on the right first

y-5 = 3x+3

now add '5' to each side

y=3x+8

Answer:

\(y = 3x + 8\)

Step-by-step explanation:

Distribute 3 through the parentheses:

\(y - 5 = 3x + 3\)

Move the constant to the right-hand side and change it sign:

\(y = 3x + 3 + 5\)

Add the numbers.

\(3 + 5 = 8\)

So, the answer will be:

\(y = 3x + 8\)

Answer:

All students at the university who participate in the intramural football league

Step-by-step explanation:

just did it

Given the information provided, the number of elements for the given events are determined as n(A) = 108, n(B) = 160, n(A∪B) = 194, n(A∩B) = 74, n(A∩B') = 34, and n(A'∩B) = 86.

Let's break down the given information step by step. We are given that n(A') (the complement of A) has 438 elements and n(B') (the complement of B) has 386 elements. We also know that the intersection of A' and B' has 352 elements. Furthermore, the universal set U has a total of 546 elements.

To find n(A), we can use the complement rule: n(A) = n(U) - n(A'). Substituting the given values, we have n(A) = 546 - 438 = 108. Similarly, we can find n(B) using the complement rule: n(B) = n(U) - n(B') = 546 - 386 = 160.

To determine n(A∪B) (the union of A and B), we can use the inclusion-exclusion principle: n(A∪B) = n(A) + n(B) - n(A∩B). Since we are not given the value of n(A∩B) directly, we need to use the information provided for further calculations.

Using the principle of complements, n(A∩B) = n(U) - n(A'∪B'). However, since we know n(A'∩B') (the intersection of A' and B'), we can rewrite this as n(A∩B) = n(U) - n(A'∪B') = n(U) - (n(A') + n(B') - n(A'∩B')). Plugging in the given values, we get n(A∩B) = 546 - (438 + 386 - 352) = 74.

Finally, we can find n(A∩B') (the intersection of A and the complement of B) and n(A'∩B) (the intersection of the complement of A and B) using the inclusion-exclusion principle. n(A∩B') = n(A) - n(A∩B) = 108 - 74 = 34, and n(A'∩B) = n(B) - n(A∩B) = 160 - 74 = 86.

Learn more about events here:

https://brainly.com/question/33124273

#SPJ11

Answer:

The coordinates of \(Y'(x,y)\) and \(Z'(x,y)\) are \(Y'(x,y) = (2.3, 7)\) and \(Z'(x,y) = (1.8, 5)\), respectively.

Step-by-step explanation:

A translation is a geometrical operation consisting in moving a point a given distance. We proceed to describe the operation:

\(X(x,y) +U(x,y) = X'(x,y)\) (Eq. 1)

Where:

\(X(x, y)\) - Initial point on the cartesian plane, dimensionless.

\(X'(x, y)\) - Translated point on the cartesian plane, dimensionless.

\(U(x, y)\) - Translation component, dimensionless.

Vectorially speaking, we find that translation component is:

\(U(x, y) = X'(x,y) -X(x,y)\)

If we know that \(X(x,y) = (8, -2.3)\) and \(X'(x,y) = (3.8, -0.3)\), the translation component is:

\(U(x,y) = (3.8,-0.3)-(8,-2.3)\)

\(U(x,y) = (3.8-8, -0.3+2.3)\)

\(U(x,y) = (-4.2, 2)\)

Now we determine the coordinates of \(Y'(x,y)\) and \(Z'(x,y)\):

(\(Y(x,y) = (6.5, 5)\), \(Z(x,y) = (6,3)\))

\(Y'(x,y) = Y(x,y) + U(x,y)\) (Eq. 2)

\(Y'(x,y)=(6.5, 5) + (-4.2, 2)\)

\(Y'(x,y) = (2.3, 7)\)

\(Z'(x,y) = Z(x,y) + U(x,y)\) (Eq. 3)

\(Z'(x,y) = (6,3)+(-4.2,2)\)

\(Z'(x,y) = (1.8, 5)\)

The coordinates of \(Y'(x,y)\) and \(Z'(x,y)\) are \(Y'(x,y) = (2.3, 7)\) and \(Z'(x,y) = (1.8, 5)\), respectively.

Douglas McGregor believed that the Theory X assumptions were appropriate for traditional and authoritarian organizations.

Theory X is a management theory developed by Douglas McGregor, a management professor, and consultant. It is based on the idea that individuals dislike work and will avoid it if possible. As a result, they must be motivated, directed, and controlled to achieve organizational goals. The assumptions of Theory X are as follows:

Employees dislike work and will try to avoid it whenever possible. People must be compelled, controlled, directed, or threatened with punishment to complete work. Organizations require rigid rules and regulations to operate effectively. In conclusion, Douglas McGregor believed that Theory X assumptions were appropriate for traditional and authoritarian organizations.

More on Theory X assumptions: https://brainly.com/question/27600789

#SPJ11

The Boolean function F(A, B, C, D) = Σ(0,2,8,9,10,11,14,15) can be simplified in sum-of-products form using a four-variable map, resulting in the following expression: F(A, B, C, D) = A'CD + ABC' + AB'C' + AB'D + A'BC'D.

To simplify the given Boolean function, we use a four-variable map, also known as a Karnaugh map. The map consists of cells arranged in a grid, with the four variables (A, B, C, D) representing the row and column headers. The map enables us to visualize and group the minterms based on their corresponding truth table values.

Step 1: Construct the Karnaugh map

We label the rows and columns with binary values representing the variables (A, B, C, D). We then place a '1' in the cells corresponding to the minterms given in Σ(0,2,8,9,10,11,14,15), while leaving the other cells as '0'. This step allows us to identify patterns and group adjacent '1' cells.

Step 2: Group adjacent '1' cells

We look for groups of adjacent '1' cells, which should be rectangular in shape and have sizes that are powers of 2 (1, 2, 4, 8, etc.). In this case, we can group the cells corresponding to minterms 8, 9, 10, 11, 14, and 15, resulting in two groups: one comprising minterms 8, 9, 10, and 11, and another with minterms 14 and 15.

Step 3: Create sum-of-products expression

For each group, we determine the common variables and their complemented forms. For the first group, the common variables are A' and D, while for the second group, the common variables are B and C. We then write the sum-of-products expression by combining the common variables and their complements for each group, resulting in: A'CD + ABC' + AB'C' + AB'D + A'BC'D.

Learn more about: Boolean function

brainly.com/question/27885599

#SPJ11

the temperature range between the two days is 4.6°.

To find the temperature range or distance between the two days, we need to calculate the absolute difference between the low temperatures on February 17th and February 18th.

Given:

Low temperature on February 17th: 3.4°

Low temperature on February 18th: -1.2°

To calculate the temperature range, we take the absolute difference between the two temperatures:

Temperature range = |Low temperature on February 17th - Low temperature on February 18th|

Temperature range = |3.4° - (-1.2°)|

Temperature range = |3.4° + 1.2°|

Temperature range = |4.6°|

Therefore, the temperature range between the two days is 4.6°.

Learn more about Temperature here

https://brainly.com/question/32052864

#SPJ4

Answer:

6. -285°, 435°

7. -360°, 360°

Step-by-step explanation:

6. θ = 75°

75-360 = -285°

75+360 = 435°

7. θ = 720°

720 - 1080 = -360°

720 - 360 = 360°

Answer:

answer is positive

Step-by-step explanation:

Answer:

median= 1/3

Step-by-step explanation:

the approximate value of\(e^{0.1243}\) is 1.124. with three significant digits after the decimal.

The equation of a tangent line serves as the foundation for the linear approximation formula. We are aware that the derivative of a tangent drawn to the curve y = f(x) at the point x = an is given by its slope at that location. In other words, f'(a) is the slope of the tangent line. As a result, the linear approximation formula uses derivatives.

To approximate\(f(x) = e^x\) at x = 0.1243 using linear approximation, we can use the formula:

\(f(x) = f(a) + f'(a)(x - a)\)

For\(f(x) = e^x\), we have \(f'(x) = e^x.\) Since we're approximating at x = 0, a = 0. Thus,\(f(0) = e^0 = 1,\)and f'(0) = e^0 = 1.

Using the linear approximation formula:

f(0.1243) ≈ 1 + 1(0.1243 - 0)

f(0.1243) ≈ 1 + 0.1243

f(0.1243) ≈ 1.124

So, the approximate value of\(e^{0.1243}\) is 1.124.with three significant digits after the decimal.

learn more about linear approximation formula-

https://brainly.com/question/30763907

#SPJ11

Answer:

12.5 cups used

7.5 cups left

Step-by-step explanation:

Number of batches = 5

Cups of flour per batch = 2 1/2 cups

Initial amount of flour = 20 cup bag

After 5 batches ; number of cup used :

5 * 2 1/2 = 12.5 cups of flour

Change in amount of flour in bag :

(20 cups - 12.5 cups) = 7.5 cups

The solution of the system of equations is (x, y) = (1/3, 1/3).

To solve the given system of equations, we can use any of the following three methods; the substitution method, the elimination method (also known as the addition/subtraction method), and the graphical method. Below, we will solve it using each of these methods.

1. Substitution method:

We will use the substitution method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2) From equation (1), we have

Y + 2x = 3y ...(3)Now substitute equation (3) into equation

(2)2y = 3x - 2 ...(2)Y + 2x = 3y ...(3)2(3y - 2x) = 3x - 2

Multiplying both sides by 2:

6y - 4x = 3x - 2 Grouping like terms:

6y - 3x = 2 Adding 3x to both sides:

6y = 3x + 2Dividing both sides by 6:

y = (3/6)x + 2/6y = (1/2)x + 1/3

Therefore, the solution of the system of equations is (x, y) = (1/3, 1/3).

2. Elimination method:

We will use the elimination method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2)Multiplying equation (1) by 2,

we get;2Y = 6y - 4x ...(3)Multiplying equation (2)

by -3, we get;-6y = -9x + 6 ...(4) Adding equations (3) and (4),

we get;-4x = -9x + 8

Simplifying;-4x + 9x = 8x = -8x = -2

Therefore, we found the value of x, which is -2.

Substitute the value of x in either equation (1) or (2);

If we substitute x = -2 in equation (1), we get;

Y = 3y - 2(-2)Y = 3y + 4Y - 3y = 4Y = 4/2Y = 2Substitute the value of y in equation (1)

;Y = 3y - 2xY = 3(2) - 2(-2)Y = 6 + 4Y = 10

Therefore, the solution of the system of equations is (x, y) = (-2, 10/2).3.

For more question equations

https://brainly.com/question/4909706

#SPJ8

Answer:

I have tried but I can't sorry friend

A. The value of each inverse trigonometric ratio

1. sin⁻¹ (1) = 90°

2. tan⁻¹ (√3/3) = 30°

3. cos⁻¹ (1) = 0°

4. cot⁻¹ (√3/3) = 60°

5. sec⁻¹ (√2) = 45°

6. csc⁻¹ (2) = 30°

B. The exact value (radians) of each inverse trigonometric ratio

7. csc⁻¹ (2√3/3) = π/3 rad

8. tan⁻¹ (1) = π/4 rad

9. cos⁻¹ (√2/2) = π/4 rad

10. sec⁻¹ (1) = 0 rad

11. sin⁻¹ (1/2) = π/6 rad

12. cot⁻¹ (0) = π/2 rad

The table in the attachment contains the special angles in trigonometry. The special angles used in trigonometry for the first quadrant are 0°, 30°, 45°, 60°, and 90°.

1. sin⁻¹ (1) = 90° because sin 90° = 1

2. tan⁻¹ (√3/3) = 30°

3. cos⁻¹ (1) = 0° because cos 0° = 1

4. cot⁻¹ (√3/3) = 60° because cot 60° = √3/3

5. sec⁻¹ (√2) = 45° because sec 45° = √2

6. csc⁻¹ (2) = 30° because csc 30° = 2

To convert from degree to radian just time with π/180°

7. csc⁻¹ (2√3/3)

csc⁻¹ (2√3/3) = 60° = 60° × π/180° = π/3 rad

8. tan⁻¹ (1)

tan⁻¹ (1) = 45° = 45° × π/180° = π/4 rad

9. cos⁻¹ (√2/2)

cos⁻¹ (√2/2) = 45° = 45° × π/180° = π/4 rad

10. sec⁻¹ (1)

sec⁻¹ (1) = 0° = 0° × π/180° = 0 rad

11. sin⁻¹ (1/2)

sin⁻¹ (1/2) = 30° = 30° × π/180° = π/6 rad

12. cot⁻¹ (0)

cot⁻¹ (0) = 90° = 90° × π/180° = π/2 rad

Learn more about inverse trigonometric here: https://brainly.com/question/30426013

#SPJ1

The one-sample chi-square test is used to determine whether the distribution of a single categorical variable significantly differs from what would be expected by chance. The statement is True.

The one-sample chi-square test is a statistical test used to determine if there is a significant difference between the observed frequency and the expected frequency in a single categorical variable. It compares the observed frequency distribution of a variable to the expected frequency distribution, assuming that the null hypothesis is true.

This test compares observed frequencies to expected frequencies and calculates a chi-square statistic to assess the significance of the difference.

To know more about one-sample chi-square visit:

https://brainly.com/question/31736731

#SPJ11

The number of students that leave by bus or car is given as follows:

5801 students.

The union and intersection sets of multiple sets are defined as follows:

The or operation is equivalent to the union operation, meaning that we add the number of students that leave by bus to the number of students that leave by car.

Hence the number of students that leave by bus or car is given as follows:

3232 + 2549 = 5801 students.

More can be learned about union and intersection at brainly.com/question/4699996

#SPJ1

Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

The right-hand-side of a differential equation that is a mathematical model of the situation, "In a herd of 55 animals, the time rate of change in the number L of those animals having fleas is proportional to the product of have fleas and the number who do not. dL/dt= " is:  `dL/dt=k(L(55-L))`, where `k` is the constant of proportionality.

Explanation:Given: In a herd of 55 animals, the time rate of change in the number L of those animals having fleas is proportional to the product of have fleas and the number who do not. Let, the total number of animals in the herd be `N`.The total number of animals in the herd is 55.

So, the number of animals without fleas is `(55-L)`.The time rate of change in the number of those animals having fleas is proportional to the product of have fleas and the number who do not. Hence, the right-hand-side of a differential equation that is a mathematical model of the situation is `dL/dt=k(L(55-L))` where `k` is the constant of proportionality.

Learn more about differential equation at https://brainly.com/question/32963947

#SPJ11

Answer:

x> 24/_7

x>_3.43

..............

Answer:

B. because it is in the shaded region.

Step-by-step explanation:

Hope this helps!

Answer:

35 different combinations

Step-by-step explanation:

Pizza company offers 3 different crust types to choose from and there are 7 toppings available which a person can choose to add in its pizza. The number combination made from 7 different types of toppings are 35. This is calculated using combination technique of statistics. It is assumed that the order of topping and crust does not matter.

nCr = 7C3

7C3 = 35.

El valor que satisface D es 188.

El modelo matemático será así:

D/d = 12(resto 8)

si escribimos 8 como resto de D, entonces:

(D-8) /d=12

D-8= 12d o se puede escribir D= 12d+8

luego sustituya D= 12d+8 por D+d= 203

D+d= 203

(12d +8) +d= 203

13d= 203-8

13d= 195

re=15

sustituir d=15 en D+d= 203

D+d= 203

D+15=203

D=203-15

D=188

El modelo matemático es una forma de interpretación humana al traducir o formular problemas existentes en forma matemática, de modo que el problema pueda resolverse utilizando las matemáticas.

El uso principal de los modelos matemáticos es ayudar a las personas a comprender los problemas y simplificarlos para que puedan resolverse.

, los siguientes son algunos de los usos que se obtienen al utilizar un modelo matemático, a saber:

Obtenga más información sobre el modelo matemático en

https://brainly.com/question/30517381

#SPJ1

Answer: -3

Step-by-step explanation:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

The cell that is indicated by the arrow on the right would fall into population c of the circled areas.

We know that the scatterplot that is pictured below represents results from a normal peripheral blood sample that was analyzed using flow cytometry, the cell that is indicated by the arrow on the right would fall into population c of the circled areas.

Red blood cells are equipped with iron, which binds to oxygen molecules and enables them to be transported throughout the body. In terms of immunity, these cells break down in the presence of harmful pathogens, releasing free radicals that can help to destroy them. Leukocytes play a crucial role in fighting off disease and foreign invaders. Granulocytes, including eosinophils, basophils, and neutrophils, are responsible for battling fungi, bacteria, and parasites, as well as responding to allergic reactions. Meanwhile, the agranulocytes, which include monocytes, lymphocytes, and macrophages, differentiate into macrophages and target B cells, T cells, and natural killer cells, while also performing the important function of phagocytosis. Thrombocytes are responsible for maintaining the body's blood volume and preventing bleeding by promoting clot formation. This process is known as hemostasis. Finally, blood plasma serves as the transport medium for all of the components of peripheral blood, with carbon dioxide playing a key role in enabling the removal of waste and other excretory matter from the body.

The circulating blood of the body is known as peripheral blood. It is comprised of red blood cells, white blood cells, and platelets. These cells are suspended in plasma and circulated throughout the body.

To learn more about areas, click here:

brainly.com/question/27683633

#SPJ4

Answer: the answer is approximately 45.6

Step-by-step explanation:

Answer:

x > -3

Step-by-step explanation:

its an open circle, so the sign is >

and the sign, > is pointing left, so that assures it

Answer:

x>-3

Step-by-step explanation: