Test the polar equation for symmetry with respect to the polar axis, the pole, and the line r = 5 /(4 - 3 sin(theta)) a. symmetric with respect to the polar axis
b. symmetric with respect to the pole
c. symmetric with respect to the line theta = π / 2
d. not symmetric with respect to any of these
Test the polar equation for symmetry with respect to the polar axis, the pole r = 5 sec(theta) a. symmetric with respect to the polar axis
b. symmetric with respect to the pole
c. symmetric with respect to the line theta = π/2 d. not symmetric with respect to any of these

Answer: b) 12

Step-by-step explanation: you can tell its 12 by the way 12 goes into 24 then by the way 6 goes into 12

The multiple linear regression equation corresponding to macrohard's analysis is y = b0 + b1 * x1 + b2 * x2 + e.

It is given that Macrohard conducted a multiple linear regression analysis to predict the loading time (y) in milliseconds for Macrohard workstation files based on the file size (x1) in kilobytes and the processor speed (x2) in megahertz. The analysis was based on a random sample of 400 Macrohard workstation users, with file sizes ranging from 110 to 5,000 kilobytes and processor speeds ranging from 500 to 4,000 megahertz.

The multiple linear regression equation corresponding to Macrohard's analysis can be written as:

y = b0 + b1 * x1 + b2 * x2 + e

Where:
y is the loading time in milliseconds
x1 is the file size in kilobytes
x2 is the processor speed in megahertz
b0, b1, and b2 are the regression coefficients
e is the error term

These coefficients are estimated based on the sample data and represent the expected change in y for each unit increase in x1 and x2, holding all other variables constant. This equation allows Macrohard to estimate the loading time of a workstation file based on its size and the processor speed. To make predictions using this equation, simply plug in the values for x1 (file size) and x2 (processor speed) and solve for y (loading time).

However, it is important to note that the accuracy of these predictions may be limited by the variability of the data and the assumptions underlying the regression model. Additionally, there may be other factors that influence loading time that were not included in the analysis.

Learn more about Linear regression:

https://brainly.com/question/26755306

#SPJ11

Answer:

*insert answer*

Step-by-step explanation:

I dont know it but hey

:D

Answer: $1,540

Step-by-step explanation:

Given the following amount charged by a worker :

First 45 hours = $14 per hour

time and half for the next 10 hours

Double time for all hours after that:

If he worked for 80 hours :

First 45 hours = (45 × $14) = $630

Next 10 hours:

Time and half for 10 hours is equivalent to (10 × 1.5) = 15 hours

(15 × $14) = $210

Double time for all subsequent hours :

80 - (45 + 10) = 80 - 55 = 25

Double time : (2 × 25) = 50 hours

(50 × 14) = $700

Hence, total amount earned :

($630 + $210 + $700)

= $1,540

In the given figure, shape A is cone and shape B is cylinder. Therefore, option C is the correct answer.

A cone is a three-dimensional shape with a flat base (typically circular) that gradually narrows to a point at the top, called the apex or vertex. It is formed by a set of lines or half-lines extending from the apex to all points lying on a plane that does not contain the apex.

A cylinder is a three-dimensional figure that is made up of two parallel flat surfaces connected by a curved side. The two bases are typically circular, but can also be any other shape, such as an ellipse. The two bases are usually at different heights and the curved surface is made up of straight side walls connecting the two bases. Cylinders can be thought of as a circular tube that has been cut in half and then the cut edges pushed together.

Therefore, option C is the correct answer.

To learn more about the volume of a cone visit:

https://brainly.com/question/1984638.

#SPJ1

Answer: 2 1/4

Step-by-step explanation: Exact Form:

9/4

Decimal Form:

2.25

Mixed Number Form: 2 1/4

Answer:

equations in order

y = -2x/5 - 8/5

y = 6x/4 + 5

y = -x/5 - 3

y = -3x/2 - 7

-----------------------------------------------

2x + 5y = -8 ---> 5y = -8 - 2x ---> y = -8 - 2x/5 ---> y = -2x/5 - 8/5

-6x + 4y = 20 ---> 4y = 20 + 6x ---> y = 20+6x/4 ---> y = 6x/4 + 5

x + 5y = -15 ---> 5y = -15 - x --> y = -15 - x/5 ---> y = -x/5 - 3

3x - 2y = -14 --> -2y = -14 - 3x ---> y = -14 - 3x/-2 --> y = -3x/2 - 7

im pretty sure the fractions need to be simplified but i dont know how

Since 50 is an even number, we know that x will be even if y is even (50 times an even number is still even) and odd if y is odd (50 times an odd number is odd). Therefore, the only answer choice that must be odd is x+y.

Given that x and y are integers and x = 50y + 69, let's determine which of the following expressions must be odd.

1. xy: Since x is odd (50y + 69), when it is multiplied by any integer y, the result will always be odd. Therefore, xy must be odd.

2. x + y: If x is odd, adding it to an even integer (y) would result in an odd number. However, adding it to an odd integer (y) would result in an even number. Therefore, x + y does not necessarily have to be odd. xy: We can't determine if this is odd or even without knowing the values of x and y.
- x+y: This expression is always odd. To see why, consider two cases:

If x and y are both odd, then x+y is even+odd=odd.
If x and y are both even, then x+y is even+even=even.
If one of x and y is odd and the other is even, then x + y is odd + even =odd.

3. x+2y: We can't determine if this is odd or even without knowing the values of x and y.
3x-1: This expression will be odd if x is odd (3 times an odd number is odd) and even if x is even (3 times an even number is even).
3x+1: This expression will be odd if x is even (3 times an even number plus 1 is odd) and even if x is odd (3 times an odd number plus 1 is even).
x + 2y: Since x is odd and 2y is always even, their sum must be odd. Therefore, x + 2 y must be odd.

4. 3x - 1: This expression is odd, since 3x will always be odd (as x is odd) and subtracting 1 from an odd number results in an even number. Therefore, 3x - 1 does not necessarily have to be odd.

5. 3x + 1: This expression is odd, since 3x will always be odd (as x is odd) and adding 1 to an odd number results in an even number. Therefore, 3x + 1 must be odd.

In conclusion, the expressions that must be odd are xy, x + 2y, and 3x + 1.

Learn more about Even number:

brainly.com/question/2289438

#SPJ11

0.5887

The probability that there are 3 or more hurricanes in an 18-year period with a probability of a hurricane in any calendar year being 0.06 can be calculated as follows:We use the binomial distribution as the occurrence of the hurricanes in any year is a binomial distribution with a probability of success p = 0.06 and failure q = 0.94, which is given by the formula:P(X = k) = nCk × p^k × q^(n-k)Here, n = 18, p = 0.06, q = 1 - p = 0.94We need to calculate the probability of P(X ≥ 3) which is equal to:P(X ≥ 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2) = 1 - [18C0 × 0.06^0 × (1 - 0.06)^18] - [18C1 × 0.06^1 × (1 - 0.06)^17] - [18C2 × 0.06^2 × (1 - 0.06)^16]= 1 - [1 × 1 × 0.2834] - [18 × 0.06 × 0.7176] - [153 × 0.0036 × 0.8333]= 1 - 0.2834 - 0.0919 - 0.0360= 0.5887The probability that there are 3 or more hurricanes in an 18-year period is approximately 0.5887.

  Learn more about probability

  brainly.com/question/30034780

  #SPJ11

Answer:

Step-by-step explanation:

A simple main effect analysis looks at the mean difference at each level of the independent variable.

Given With a simple main effect, the analysis examines.

Simple effects are also called the main effects of design of experiments. The main effect can be defined as the effect of the explanatory variables measured on a particular criterion or response variable of the study. It's easy to say that what happens within the level of the explanatory variables is the difference. In a factorial experiment, the simple main effect is that one independent variable is at a specified level of another. The main effect of one independent variable is averaged across the levels of the other independent variable. For a simple main effect, the results are analyzed as if a separate experiment was performed at each level of the other independent variables.

Therefore, a simple main effect analysis looks at the mean difference at each level of the independent variable.

Learn more about analysis from here brainly.com/question/15179003

#SPJ4

Answer:

377 possible meals

Step-by-step explanation:

Let's split this up into 3 cases: one course, two courses, and three courses.

Case 1:

The customer only eats one course. If so, that means they only eat an appetizer, a main meal, or a dessert. There are 6 choices of an appetizer, 8 for a main meal, and 5 for a dessert. Add these together:

6 + 8 + 5 = 19

Case 2:

The customer will eat two courses. If so, that means they eat:

- appetizer + main meal

There are 6 choices for appetizer and 8 for main meal, so in total, there are 6 * 8 = 48 choices.

- appetizer + dessert

There are 6 choices for appetizer and 5 for dessert, so in total, there are 6 * 5 = 30 choices.

- main meal + dessert

There are 8 choices for the main meal and 5 for dessert, so in total, there are 8 * 5 = 40 choices.

So, if the customer eats 2 courses, they have 48 + 30 + 40  = 118 choices.

Case 3:

The customer will eat three courses.

Since there are 6 choices for an appetizer, 8 for a main meal, and 5 for dessert, we multiply them together to get:

6 * 8 * 5 = 240 total choices

Finally add all the total choices from each of the 3 cases:

19 + 118 + 240 = 377 possible meals

~ an aesthetics lover

Answer:

The difference between the area of the original triangle and the area of the new triangle is 5(3x + 7)(5x - 1)/2

Step-by-step explanation:

We know that the area of a triangle A = 1/2bh where b = base and h = height.

Let A be the area of triangle 1 with base (3x + 7) and height (5x - 1).

So its area A = (3x + 7)(5x - 1)/2.

Now for the second triangle, the base is tripled, so its base is 3(3x + 7) and its height is doubled, so its height is 2(5x - 1)

So its area is A' = 3(3x + 7) × 2(5x - 1)/2 = 3(3x + 7)(5x - 1)

So the difference between the area of the original triangle and the new triangle is

A' - A = 3(3x + 7)(5x - 1) - (3x + 7)(5x - 1)/2

= (3x + 7)(5x - 1)(3 - 1/2)

= 5(3x + 7)(5x - 1)/2

So the difference between the area of the original triangle and the area of the new triangle is 5(3x + 7)(5x - 1)/2

Answer:6x-2

Step-by-step explanation:

u have -2 so you have to distribute it to the numbers in the parenthesis. so -2 multiplied by -3x is 6x because a negative x negative is positive. and -2 times 1 is -2 because negative times positive is negative.

-2(-3x+1)

6x-2

If the length, width, and height of a right rectangular prism are halved, the surface area will be reduced by a factor of four.

The surface area of a right rectangular prism can be calculated by adding up the areas of all six of its faces.

To see why, consider that each of the original face's area was given by the product of two of the original dimensions. If each of those dimensions is halved, the area of each face is reduced to one-fourth of its original size. Because there are six faces, the total surface area is reduced by a factor of four.

In other words, if the original surface area was 2 * (44 cm * 22 cm + 44 cm * 77 cm + 22 cm * 77 cm) = 6176 square cm, the surface area of the halved rectangular prism would be 6176 square cm / 4 = 1544 square cm.

To know more on right rectangular prism

https://brainly.com/question/3248292

#SPJ4

Step-by-step explanation:

To calculate the minimum number of days required to finish this project, we need to use the critical path method (CPM), which involves identifying the longest sequence of dependent tasks and their durations.

First, we need to draw the network diagram for the project:

```

|---(T1-8)---(T3-10)---|

(T2-6) (T5-12)

| / |

|---(T4-7)---(T6-15)---|

```

Next, we need to calculate the earliest start time (EST), earliest finish time (EFT), latest start time (LST), and latest finish time (LFT) for each task. For the starting task, EST = 0 and EFT = 0.

```

EST EFT LST LFT

T1 (8 days) 0 8 22 30

T2 (6 days) 0 6 6 12

T3 (10 days) 8 18 22 32

T4 (7 days) 18 25 25 32

T5 (12 days) 18 30 32 44

T6 (15 days) 32 47 32 47

```

The critical path is the longest sequence of dependent tasks that have no slack (i.e., the difference between LST and EST, or LFT and EFT, is zero). In this case, the critical path is T1-T3-T5-T6.

Therefore, the minimum number of days to finish this project is the sum of the durations of tasks on the critical path:

8 + 10 + 12 + 15 = 45 days

Therefore, the minimum number of days required to finish this project is 45 days.

The correct expressions that give the new acreage are A and C.

A. 0.89y represents the remaining 89% of the original acreage after the sale.

C. y-0.11y represents the original acreage minus the 11% that was sold.

It should be noted that to find the new acreage using the first expression (A), we can simply multiply the original acreage by 0.89:

New acreage = 0.89y

To find the new acreage using the second expression (C), we can subtract 0.11 times the original acreage from the original acreage:

New acreage = y - 0.11y

New acreage = 0.89y

Both expressions give the same result, which is the new acreage after the sale.

Learn more about expressions on

https://brainly.com/question/1859113

#SPJ1

A farmer recently sold a large plot of land. The sale decreased his total acreage by 11%. Let y be the original acreage. Find two equivalent expressions that will give the new acreage. Use pencil and paper. Use the expressions to describe two ways to find the new acreage.

Which two expressions will give the new acreage?

A. 0.89y

OB. 0.11y

C. y-0.11y

D. 11y

OE. y-11y

OF. 0.89y-0.11y

Step-by-step explanation:

Given : A rectangle 4 x 8 , a semicircle

Diagonal intersecting semicircle  

To Find :Area of red part

Angle AC make AB   α = ∠BAC

tan α = BC/AB = 4/8 = 1/2

=> α = 26.565°

∠ECA = ∠BAC = α

EC = EF = 4

=> ∠CEF = 180° - 2α

∠AED = 45°  as   AE is  diagonal of Square of side  4

=> ∠AEF  + 180° - 2α + 45° = 180°

=>  ∠AEF =  2α - 45°  = 8.13°

in Left side area  between square  and circle is split in 2 Equal parts

(1/2) area - area AFG = area of Red part

in Left side area  between square  and circle  = 4² - (1/4)π4²

= 3.4336 sq unit

half  =  1.7168 sq unit  

Now find area AFG = area ΔAEF - sector EGF

area ΔAEF  

AE = 4√2  , EF = 4    angle = 8.13°

area ΔAEF   = (1/2) 4√2 * 4 sin 8.13° = 1.6 sq unit

area  sector EGF  = (8.13/360)π4² = 1.135  sq unit

area AFG  = 1.6 - 1.135  = 0.465 sq unit

Area of Red part = 1.7168 - 0.465 sq unit

= 1.2518 sq unit

= 1.252  sq unit

= 1.25 sq unit.

Hope this helps!!

Answer:

7920/7

Step-by-step explanation:

( 7 x 40) x 4 = 1120 hours/ 28 days

2 days = 2 x 40/7, because 1 day = 40 hours / 7 days

total: 1120 + 80/7  = 7920/ 7 ≈1131,43 hours

1) The function f(x) is defined as follows: B. F(x) = -(x + 2)²(x - 2).

2) The standard definition of function f(x) is given as follows: A. F(x) = ax³ + bx² + cx + d.

4. The solution to the system of equations is approximated by the following option:

A. (-3.43, 6.30).

The function for item 1 is defined considering it's roots, as follows:

Hence the function is defined as follows:

F(x) = a(x + 2)²(x - 2).

The y-intercept is positive, meaning that:

-8a > 0.

Thus the leading coefficient a is negative, and the correct option is given by option B.

The cube function, with all positive coefficients, is given by option A in item 2.

The graphic solution of a system of equations is given by the point of intersection of all the equations that compose the system.

The equations that compose the system in this problem are given as follows:

For this problem, the systems are composed by a third degree function v(x) and a linear function b(x), hence we graph them and obtain the point of intersection.

From the graph given by the image presented at the end of the answer, the coordinates of the point of intersection are presented as follows:

(-3.432, 6.296).

This means that, using rounding, the correct option is given by option A for the solution of the system of equations.

Item 1 asks to define the graphed function, while item 2 asks for the standard cube function.

A similar problem, also featuring a system of equations, is presented at https://brainly.com/question/24342899

#SPJ1

By usinf Divison method and Prime Factorization, the factors of the polynomial are x=1,2,2

A polynomial is an expression made up of variables, constants, and exponents that is combined using mathematical operations such as addition, subtraction, multiplication, and division.

cubic polynomial = x³ - 5x² + 8x - 4

suppose  x = 1 ,

x - 1 = 0

So, one of the factor = (x - 1)

Now,

By Division method

x³ - 5x² + 8x - 4 = Dividend

 x - 1 = Divisor

x² - 4x + 4 = Quotient

Now for x² - 4x + 4

x² - 2x- 2x + 4

(x-2)(x-2)

x=2,2

so, factors are x=1,2,2

To know more about polynomial visit:

https://brainly.com/question/11536910

#SPJ4

Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

If there are 450 grams of element and half life is 8 minutes, then it will take 28.83 minutes the element to decay to 37 grams

Half life of radio active element = 8 minutes

Initial quantity of radio active element = 450 gram

Final quantity of radio active element = 37 grams

y = a(0.5)^(t/h)

Substitute the values in the equation

37 = 450 (0.5)^(t/8)

Move 37 to left hand side of the equation

37 / 450 = 0.5^(t/8)

Convert the terms to logarithm

t/8 = \(log_{0.5}\frac{37}{450}\)

t/8 = 3.60

t = 8 × 3.60

Multiply the numbers

t = 28.83 minutes
Therefore, the it will take 28.83 minutes to decay to 37 grams

Learn more about half life here

brainly.com/question/4318844

#SPJ4

Answer:

33

Step-by-step explanation:

2(6) + 3(8) - 3

12 + 24 + - 3 = 33

Answer:

33

Step-by-step explanation:

2(6) +3(8) -3

Each of the five lines of symmetry can be used to map the pentagon to itself in reflection.

A polygon can change without changing its shape when it undergoes a transformation. Examples include rotation, reflection, and translation. A figure's translation is a change in position that necessitates knowledge of both the direction and the distance. The picture is the final shape that emerges from a transformation.

Five lines of symmetry make up a regular pentagon. Each of the five lines of symmetry can be used to map the pentagon to itself in reflection. Rotate the point 144 degrees in order to convert (0, -2). As a result, the 144° transformation translates the standard pentagon with the coordinates (0, -2) onto itself.

Putting a point, line, or other shape on top of a line. A regular polygon needs to be reflected over a symmetry line in order to map onto itself.

Therefore, the correct answer is option c) Reflection across L.

To learn more about transformation refer to:

https://brainly.com/question/29788009

#SPJ1

Answer:

(x + 2)² + 1

Step-by-step explanation:

Given

x² + 4x + 5

To express in vertex form use the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² + 4x

= x² + 2(2)x + 4 - 4 + 5

= (x + 2)² + 1 ← in vertex form

Answer:

it is a parallelogram. because both sides are parallel

Answer:

(17,0) and (-2,19)

Step-by-step explanation:

First, find the gradient of AB, which is 1. As CD is perpendicular, its gradient will be -1. The equation of CD will be y=17-x. The x intercept is where y=0. So, that will give you x=17. When x=-2, y=19. It proves the equation right.

Leslie used a total of 128 stones for the order.

Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics.

It basically comprises operations such as Addition, Subtraction, Multiplication and Division.

The correct equation that represents how many stones were used for the order is:

total number of stones = number of bracelets x stones per bracelet

Let's use "s" to represent the total number of stones Leslie used for the order:

s = 8 x 16

s = 128

Hence, Leslie used a total of 128 stones for the order.

To learn more about the arithmetic operation, visit

brainly.com/question/13181427

#SPJ1

The equation of the line with a slope of 1 passing through the point (0, 2) is y = x + 2.

To verify this, we can substitute the coordinates of the given point (0, 2) into the equation y = x + 2:

2 = 0 + 2

This equation holds true, confirming that the line y = x + 2 passes through the point (0, 2) and has a slope of 1.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ11