Homework Task 3: Item C
< Back to task
Bookwork code: K90
Calculator
not allowed
Give your answer as an integer or as a fraction in its simplest form.
o
-6-5
-3-2
~ 34
6
5-
4-
27
-4
W
2345
Watch video
6
120 XP
x
Carley
Answer

Answer:

\(\alpha' = 81^{\circ}\)

Step-by-step explanation:

Angle is periodical function, so that following condition is satisfied:

\(\alpha = n \cdot 360^{\circ}\)

\(n = \frac{801^{\circ}}{360^{\circ}}\)

\(n = 2.225\)

The position of the coterminal angle is:

\(n' = 2.225 - 2\)

\(n' = 0.225\)

\(\alpha' = n' \cdot 360^{\circ}\)

\(\alpha' = (0.225)\cdot (360^{\circ})\)

\(\alpha' = 81^{\circ}\)

By probability, 5  different choices are possible .

Describe probability using an example?

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

                          The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.

According to the situation, The probabilities for each one is given below

As there are 20 families

So the probabilities for each one is

For four families have one child is

     = 1/20  

For eight families have two children is

       = 2/20 = 1/10

For five families have three children is

           = 3/20

For two families have four children is

            = 4/20  = 1/5

For one family have five children is

           = 5/20 = 1/4

Learn more about probability

brainly.com/question/11234923

#SPJ1

Answer:

x=1/4

Step-by-step explanation:

Answer:

4x-1=0

  +1  +1

4x=1

/4   /4

x= 0.25 or 1/4

Step-by-step explanation:

i hope this helps :)

Answer:

\(x = 49.8^\circ\\y = 54.6^\circ\)

Step-by-step explanation:

Kindly refer to the image attached in the answer region for labeling of triangle.

AB = 16

BC = 19

AC = 15

\(\angle ABC = x^\circ\\\angle ACB = y^\circ\)

We have to find the angles x and y i.e. \(\angle B \text{ and }\angle C\).

Formula for cosine rule:

\(cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}\)

Where  

a is the side opposite to \(\angle A\),

b is the side opposite to \(\angle B\)  and

c is the side opposite to \(\angle C\).

\(\Rightarrow cos x = \dfrac{19^{2}+16^{2}-15^{2}}{2 \times 19 \times 16}\\\Rightarrow cos x = \dfrac{392}{608} \\\Rightarrow x = 49.8^\circ\)

Similarly, for finding the value of y:

\(cos C = \dfrac{a^{2}+b^{2}-c^{2}}{2ab}\\\Rightarrow cos y = \dfrac{19^{2}+15^{2}-16^{2}}{2 \times 19 \times 15}\\\Rightarrow cos y = \dfrac{330}{570}\\\Rightarrow y = 54.6^\circ\)

Hence, the values are:

\(x = 49.8^\circ\\y = 54.6^\circ\)

The value of x in the parallel line is as follows:

1. x = 50

2. x = 55

3. 102 - 2v

When parallel lines are cut by a transversal line, angle relationships are formed such as alternate interior angles, alternate exterior angles, corresponding angles, vertically opposite angles, linear angles etc.

Therefore, let's use the angle relationship to find the value of x as follows:

1.

m∠1 = m∠8(alternate interior angles)

2x + 25 = x + 75

2x - x = 75 - 25

x = 50

2.

m∠2 = m∠6(corresponding angles)

3x - 10 = 2x + 45

3x - 2x = 45 + 10

x = 55

3.

m∠3 + m∠8 = 180(same side interior angles)

4v - 31 + 2x + 7 = 180

2x = 180 + 31 - 7 - 4v

2x = 204 - 4v

x = 102 - 2v

learn more on angles here: https://brainly.com/question/22137601

#SPJ1

Answer: When you solve the equations and work them out, you get the answer of $4000.

Answer:

f ≤ 4

Step-by-step explanation:

f/4 + 6 ≤ 7

f/4 ≤ 7 - 6

f/4 ≤ 1

f ≤ 4

Answer:

 F<4

________

________

Answer:

the answer is 10

Step-by-step explanation:

the other shape is half of all the degreed of the first one

Answer: 10

Step-by-step explanation:

AB:  3.0/2 = 1.5 = EF

BC:  5.0/2 = 2.5 = FG

CD:  4.0/2 = 2.0 = GH

DA:  8.0/2 = 4.0 = EH

1.5+2.5+2.0+4.0 = 10

Answer:

Length of AB is 4

because

AB = AC - BC

The volume of the container that the gas is in is approximately 2474.84 liters.

To find the volume of the container, we can use the ideal gas law equation: PV = nRT.
Given:
- Pressure (P) = 0.061 atm
- Number of moles of gas (n) = 5.7 moles
- Temperature (T) = 50.°C (which needs to be converted to Kelvin)

First, we need to convert the temperature from Celsius to Kelvin. To do this, we add 273.15 to the Celsius temperature:
Temperature in Kelvin = 50.°C + 273.15 = 323.15 K

Now we can substitute the values into the ideal gas law equation:
0.061 atm * V = 5.7 moles * 0.0821 L·atm/(mol·K) * 323.15 K

Let's simplify the equation:
0.061 atm * V = 5.7 moles * 26.576 L

To solve for V, we can divide both sides of the equation by 0.061 atm:
V = (5.7 moles * 26.576 L) / 0.061 atm

Calculating the right side of the equation:
V = 151.1652 L / 0.061 atm

Finally, we can calculate the volume of the container:
V ≈ 2474.84 L

Learn more about the ideal gas equation:

https://brainly.com/question/27870704

#SPJ11

Answer:

$5.88

Step-by-step explanation:

3 erasers ⇒ $4,41

4 erasers ⇒ $A

A = 4 erasers * $4.41 / 3 erasers

A = $ 5.88

Answer:

see below

Step-by-step explanation:

Proportion:

4.41 is to 3 erasers as   'x' is to 4 erasers:

4.41 /3     =  x / 4       <======this is your proportion

 or rearrange

      4 *  4.41/3   = x  

(this results in x = $ 5.88  for 4 erasers )

Answer:

Side b = 24

Step-by-step explanation:

Refer to the picture below

The given statement "The this pointer is not automatically passed to static member functions of a class." is false as static member functions can be called without creating an object of the class, and the "this" pointer is used to refer to the current instance of the class. Since no instance is required for static member functions, the "this" pointer is not applicable in this case.

In object-oriented programming, a class is a blueprint for creating objects, and member functions are functions defined within a class that can be called on objects of that class.

Static member functions, also known as class methods, are special member functions that are associated with the class itself rather than any specific object or instance of the class. They are declared using the "static" keyword.

Since static member functions do not operate on specific instances of the class, they do not have access to the "this" pointer. The "this" pointer is a hidden pointer that points to the current object instance, allowing non-static member functions to access the data members and other member functions of the object. However, static member functions do not have this pointer because they are not tied to any specific object.

Static member functions can only access static members of the class, which include static variables and other static member functions. They can be called using the class name itself, without creating an instance of the class. This is because they are not associated with any particular object but rather with the class as a whole.

To learn more about static member function: https://brainly.com/question/31563511

#SPJ11

To find the standard deviation of the data set, you can use the formula:

σ = √[Σ(x - μ)² / N]

Where:

- σ is the standard deviation

- Σ is the sum of

- x is each value in the data set

- μ is the mean of the data set

- N is the number of values in the data set

First, find the mean of the data set:

μ = (2 + 4 + 4 + 5 + 7 + 8 + 8 + 9 + 12 + 15 + 17 + 28) / 12 = 9.5

Next, calculate the sum of the squared differences between each value and the mean:

Σ(x - μ)² = (2 - 9.5)² + (4 - 9.5)² + (4 - 9.5)² + (5 - 9.5)² + (7 - 9.5)² + (8 - 9.5)² + (8 - 9.5)² + (9 - 9.5)² + (12 - 9.5)² + (15 - 9.5)² + (17 - 9.5)² + (28 - 9.5)² = 1018

Then, divide the sum by the number of values in the data set:

1018 / 12 = 84.83

Finally, take the square root of the result to find the standard deviation:

σ = √84.83 = 9.2

Therefore, the standard deviation of the data set is 9.2 (rounded to one decimal place).

The equation fX = 0 implies that x^2 = 4y, while the equation fY = 0 implies that x = 0.

To find the critical points of a function, we look for points where the partial derivatives with respect to each variable are equal to zero.

For the given function f(x, y) = x^3 - 12xy + 8y^3, let's calculate the partial derivatives:

fX = 3x^2 - 12y (partial derivative with respect to x)

fY = -12x + 24y^2 (partial derivative with respect to y)

Now, we set each partial derivative equal to zero and solve for the variables:

fX = 0 implies 3x^2 - 12y = 0 which simplifies to x^2 = 4y.

fY = 0 implies -12x + 24y^2 = 0 which simplifies to x = 0.

Therefore, from fX = 0, we get x^2 = 4y, and from fY = 0, we have x = 0.

These equations give us the critical points of the function.

Learn more about derivatives here

https://brainly.com/question/25324584

#SPJ11

Answer:

(-4,1)(-4,1)

Step-by-step explanation:

Answer:

(-4,1)(-4,1)

Step-by-step explanation:

because its right

Answer:

tbh im no t so good with stuff like this in the morning so but i got this How do you calculate sales growth? To start, subtract the net sales of the prior period from that of the current period. Then, divide the result by the net sales of the prior period. Multiply the result by 100 to get the percent sales growth.

Step-by-step explanation:

if this helps a bit lmk and have a brilliant day with a smile :D

The set of points and lines when named are listed below

Using the figure as a guide, we have the following:

Read more about points and lines at

https://brainly.com/question/17248193

#SPJ1

The portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.

To calculate the portfolio weights for stock A and stock B, we need to determine the total value of the portfolio and the proportion of each stock's value within that total.

The total value of the portfolio can be calculated as follows:

Total value = (Number of shares of stock A × Price per share of stock A) + (Number of shares of stock B × Price per share of stock B)

Total value = (135 × $84) + (110 × $82)

Total value = $11,340 + $9,020

Total value = $20,360

Now, we can calculate the portfolio weights for each stock:

Weight of stock A = (Value of stock A ÷ Total value) × 100%

Weight of stock A = (($84 × 135) ÷ $20,360) × 100%

Weight of stock A = $11,340 ÷ $20,360

Weight of stock A ≈ 0.5569 or 55.69%

Weight of stock B = (Value of stock B ÷ Total value) × 100%

Weight of stock B = (($82 × 110) ÷ $20,360) × 100%

Weight of stock B = $9,020 ÷ $20,360

Weight of stock B ≈ 0.4431 or 44.31%

Therefore, the portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.

To learn more about portfolio weights from the given link

https://brainly.com/question/30944975

#SPJ4

The domain of the function f(x)  =  |x|² is the set of all real numbers (-∞ < x < ∞)

The range of the function f(x)  =  |x|² is the set of all real numbers greater than or equal to zero ( f(x) ≥ 0)

The given function is:

f(x)  =  |x|²

This can also be expressed as:

f(x) = x²

This is because the square operator cancels the effect of the absolute value

The function f(x) = x² is valid for all real values of x. Therefore, the domain of the function f(x) is -∞ < x < ∞

The range of the function f(x) is all positive real numbers. This is because the square of all numbers gives a positive number.

Range = f(x) ≥ 0

Learn more here: https://brainly.com/question/25915612

Answer:

1. all the real numbers

2. all numbers less than or equal to 2.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3*(-7)=(-21)

A constant function is a function that has the same output with different inputs.

The value of f(-7) for the function f(x) = 3 is 3.

A constant function is a function that has the same output with different inputs.

It is a function having the same value of range for different values of the domain.

Example: f(x) = 9

f(1) = 0

f(2) = 6

Domain = inputs = 1, 2

Range = outputs = 9

We have,

f(x) = 3

This is a constant function.

So any value of x will always give the output as 3.

f(-7) = 3.

Thus the value of f(-7) for the function f(x) = 3 is 3.

Learn more about constant functions here:

brainly.com/question/19595873

#SPJ2

We are going to apply the Triangle Inequality Theorem in this problem.

Given sides a, b, and c, a triangle exists if:

If each of these inequalities hold, we can say that the triangle does, in fact, exist.

The quickest way to test any triangle is to add the shortest side and the medium side to determine if their sum is greater than the longest side.

Option 1: 15, 17, 25

15, 17, 25 is a triangle.

Option 2: 8, 15, 6

This is false.

Option 3: 19, 9, 13

19, 9, 13 is a triangle.

Option 4: 24, 15, 33

24, 15, 33 is a triangle.

Option 5: 9, 21, 29

9, 21, 29 is a triangle.

Option 6: 3, 7, 10

This is false.

The following groups of sides form triangles: 15, 17, 25; 19, 9, 13; 24, 15, 33; 9, 21, 29.

Answer:

Step-by-step explanation:

To solve an algebraic expression in simplest form, you can follow these steps:

1. Use the order of operations (PEMDAS) to simplify any arithmetic in the expression (parentheses, exponents, multiplication and division, addition and subtraction).

2. Combine like terms by adding or subtracting any coefficients in front of similar variables.

3. Divide or multiply both sides of the equation by the same non-zero number to solve for the variable.

4. If possible, factor the expression to make it simpler.

5. If the expression is a fraction, check for a common denominator and then simplify by canceling any common factors in the numerator and denominator.

6. If the expression is a radical, check for a perfect square and simplify by taking the square root of the number inside the radical.

7. Use the properties of exponents and logarithms to simplify the expression.

8. Evaluate the expression by plugging in the values of any known variables.

It's important to keep in mind that there may be multiple ways to simplify an algebraic expression and the solution that is in simplest form may not always be obvious.

Answer:

i think its 7 units but im not completely sure

Step-by-step explanation:

The value of x in the angles is 15.

When lines intersect, angle relationships are formed such as vertically opposite angles, linear angles etc.

Vertically opposite angles are congruent. Vertically opposite angles have the same vertex.

Therefore, using vertically opposite angles principle,

3x + 7 + 2x + 8 = 90

5x + 15 = 90

subtract 15 from both sides of the equation

5x + 15 = 90

5x + 15 - 15 = 90 - 15

5x = 75

divide both sides by 5

5x / 5 = 75 / 5

x = 15

learn more on angles here: https://brainly.com/question/26983914

#SPJ1

Answer:pretty sure it’s the last one

Step-by-step explanation:

It’s asking for the negative version...

Answer:

the third one.

Step-by-step explanation:

lolololololololololol

Based on the calculations, the coordinates of the other endpoint are equal to (-20, 10).

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and then divide by two (2).

Midpoint on x-coordinate is given by:

xm = (x₁ + x₂)/2

-7 = (6 + x₂)/2

Cross-multiplying, we have:

-14 = 6 + x₂

x₂ = -14 - 6

x₂ = -20.

Midpoint on y-coordinate is given by:

ym = (y₁ + y₂)/2

4 = (-2 + y₂)/2

Cross-multiplying, we have:

8 = -2 + y₂

y₂ = 8 + 2

y₂ = 10.

Read more on midpoint here: https://brainly.com/question/27663120

#SPJ1