The graph of g(x) is the result of translating the graph of f(x) = 3* six units to the right. What is the equation of g(x)?
O g(x) = 3x-6
g(x) = 3x+6
g(x)=3*-6
O g(x)=3*+ 6

Answer:

\(b = 10\sqrt{5-4\cos 26^{\circ}}\)

Step-by-step explanation:

Using the Law of Cosines,

\(b^2 = a^2 + c^2 - 2ac \cos B \\ \\ b^2 = 20^2 + 10^2 - 2(20)(10)\cos 26^{\circ} \\ \\ b=\sqrt{500-400\cos 26^{\circ}} \\ \\ =10\sqrt{5-4\cos 26^{\circ}}\)

Area of fabric needed to cover the lampshade is 768 \(cm^2\)

What is Fabric?

Fabric can be either a cloth made by weaving or knitting, or it can be the framework of a construction. Some individuals use twisting, felting, or braiding to create fabrics. When I remark that termites are "gradually eating away at the fabric of the building," I'm referring to either the floor or the walls.

The phrase may also be used to refer to the fundamental framework or organization of society. For instance, "the fabric of society" refers to its fundamental structure, which includes all of its practices and beliefs.

I'm referring to the body of the car when I remark, "I heard clanking noises in the fabric of the car." This phrase can also be used to describe the body of an aircraft.

Length= 16 cm

Breath= 12 cm

Area= 4(16*12)  \(cm^2\)

Area=768 \(cm^2\)

Hence, Fabric needed is 768 \(cm^2\)

Learn more about Fabric from the link below

https://brainly.com/question/22026300

#SPJ1

The average speed for the whole journey from Southhampton to Basingstoke is approximately 46.67 mph.

To calculate the average speed for the whole journey, we need to consider the total distance traveled and the total time taken. In this case, Anna drove 35 miles from Southhampton to Basingstoke.

Let's calculate the time taken for each segment of the journey:

For the first 5 miles, Anna drove at an average speed of 20 mph. The time taken for this segment can be calculated as follows:

Time = Distance / Speed

Time = 5 miles / 20 mph

Time = 0.25 hours

For the remaining 30 miles, Anna drove at an average speed of 60 mph. The time taken for this segment can be calculated as follows:

Time = Distance / Speed

Time = 30 miles / 60 mph

Time = 0.5 hours

Now, we can calculate the total time taken for the whole journey by summing up the times for each segment:

Total Time = Time for first segment + Time for second segment

Total Time = 0.25 hours + 0.5 hours

Total Time = 0.75 hours

Next, we calculate the average speed for the whole journey by dividing the total distance by the total time:

Average Speed = Total Distance / Total Time

Average Speed = 35 miles / 0.75 hours

Average Speed ≈ 46.67 mph

For more such questions on average speed visit:

https://brainly.com/question/29798040

#SPJ8

The correct statement about the population of the three countries is a. Aruba has the least population.

The population of Bolivia = 10

The population of Aruba = 53

The population of the Philippines = 10 times greater than Aruba's population

A population is the entire set of people in a group, whether that group is a country or a collection of people who share a certain trait. A population is the group of people from which a statistical sample is taken in statistics.

Bolivia has a population of 10, Aruba has a population of 53, and there are a hundred times more people in the Philippines than there are in Aruba. The Philippines has a larger population than both Bolivia and Aruba since 10 times 53 equals 530. Therefore, as per the values, Aruba has the least population.

Read more about population on:

https://brainly.com/question/30396931

#SPJ4

Complete Question:

Bolivia has a population of 10 people, while the population of Aruba 53 is 10 people. The Philippines has a population that is 10 times greater than Aruba's population. Which statement is true about the population of the three countries?

a. Aruba has the least population.

b. Boliva has the greatest population.

c. The Phillipines has the least population.

d. Bolivia and the Phillipines have the same population.

The median of a trapezoid is parallel to the bases and equal in length to the average of their lengths. This is due to the midpoint theorem and the definition of the average.

Learn more about median here

https://brainly.com/question/28060453

#SPJ4

The effective interest on £2000 at a 3% interest rate compounded quarterly over a period of 4 years is approximately £245.15.

To calculate the effective interest, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment (including interest)

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of compounding periods per year

t = the number of years

In this case, the principal amount (P) is £2000, the annual interest rate (r) is 3% (or 0.03 as a decimal), the compounding is done quarterly (n = 4), and the investment period (t) is 4 years.

Plugging the values into the formula:

A = £2000(1 + 0.03/4)^(4*4)

= £2000(1 + 0.0075)^16

= £2000(1.0075)^16

≈ £2000(1.126825)

Calculating the future value:

A ≈ £2253.65

To find the effective interest, we subtract the principal amount from the future value:

Effective Interest = £2253.65 - £2000

≈ £253.65

Therefore, the effective interest on £2000 at a 3% interest rate compounded quarterly after 4 years is approximately £253.65.

Learn more about compound interest here:

https://brainly.com/question/22621039

#SPJ11

The answer choice which represents the solutions of the given absolute value equation as given is; Choice A. x =4 and x = -7.

Since it follows from the task content that the given absolute value equation is;

| 2x + 3 | = 11.

Hence, the equation can be solved as follows;

2x + 3 = 11. OR 2x + 3 = -11

2x = 11 - 3. OR. 2x = -11 - 3

2x = 8. OR 2x = -14

x = 4. OR. x = -7.

It therefore follows that the values of x which hold true for the given equation are: x = 4 and x = -7.

Ultimately, the correct answer choice is; Choice A. x =4 and x = -7.

Read more on absolute value equation;

https://brainly.com/question/29976517

#SPJ1

Answer:

147.18 Kgs

Step-by-step explanation:

1 Kg= 2.2 lbs

325/2.2=kg

147.18 Kgs

Hope his helped! Have a good day!

All rewards appreciated!

Answer:

We had this question last week let me check my book real quick.

Answer:

y = 6x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form ( linear function ) is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 3 ) and (x₂, y₂ ) = (2, 9 )

m = \(\frac{9-3}{2-1}\) = \(\frac{6}{1}\) = 6 , then

y = 6x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (1, 3 ) , then

3 = 6 + c ⇒ c = 3 - 6 = - 3

y = 6x - 3 ← equation of linear function

The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), or not equal to symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics. A linear inequality looks precisely like a linear equation, but the symbol connecting two expressions is different.

Let x represent the number of roast beef dinners and y represent the number of teriyaki chicken dinners.

The total cost of the roast beef dinners is 5x dollars and the total cost of the teriyaki chicken dinners is 3y dollars.

Therefore, the total cost of all the dinners is 5x + 3y dollars.

We know that the total cost of all the dinners must be less than or equal to $1200, so we can write the inequality:

5x + 3y <= 1200

We also know that we must serve at least 240 customers, which means that we must serve at least 240 dinners. Since we are serving two different meals, this means that we must serve at least 120 of each meal. Therefore, we can write the following system of inequalities:

x >= 120

y >= 120

5x + 3y <= 1200

To know more about Linear Inequality visit :

https://brainly.com/question/11897796?referrer=searchResults

#SPJ4

The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), or not equal to symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics. A linear inequality looks precisely like a linear equation, but the symbol connecting two expressions is different.

Let x represent the number of roast beef dinners and y represent the number of teriyaki chicken dinners.

The total cost of the roast beef dinners is 5x dollars and the total cost of the teriyaki chicken dinners is 3y dollars.

Therefore, the total cost of all the dinners is 5x + 3y dollars.

We know that the total cost of all the dinners must be less than or equal to $1200, so we can write the inequality:

5x + 3y <= 1200

We also know that we must serve at least 240 customers, which means that we must serve at least 240 dinners. Since we are serving two different meals, this means that we must serve at least 120 of each meal. Therefore, we can write the following system of inequalities:

x >= 120

y >= 120

5x + 3y <= 1200

To know more about Linear Inequality visit :

https://brainly.com/question/11897796?referrer=searchResults

#SPJ4

Based on the International Classification of Diseases, 10th Revision (ICD-10), the correct code block to report that a newborn is affected by maternal factors and complications of pregnancy, labor, and delivery is:

b. P00-P04

The code block P00-P04 specifically pertains to Newborn affected by maternal factors and by complications of pregnancy, labor, and delivery. This code block includes various conditions and complications that can arise during the perinatal period related to the maternal factors and the process of pregnancy, labor, and delivery. These codes are used to document and classify specific conditions or complications affecting the newborn that are attributable to maternal factors and the events surrounding childbirth.

 To learn more about surrounding click here:brainly.com/question/13153048

#SPJ11

The number of tickets sold on Friday were 66 children tickets and 97 adult tickets.

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation of the parabola passing through (0, 0), (-3, 9) and (3, 9) is y = x²

The equation of the parabola with vertex at (4, 22) passing through (0, 6), (8, 6) and (3, 9) is y < -x² + 8x + 6

The solution to the system of equation is the darker region and it contains the point (-1, 6)

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

#SPJ1

Answer:

(2,9)

Step-by-step explanation:

Got it on FlVS

The calculated volume of the prism is 897 cubic ft

From the question, we have the following parameters that can be used in our computation:

The trapezoidal prism

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (13 + 10) * 6

Evaluate

Base area = 69

Also, we have

Height = 13

So, the volume is

volume = 13 * 69

Evaluate

volume = 897

Hence, the volume of the prism is 897 cubic ft

Read more about volume at

https://brainly.com/question/463363

#SPJ1

Answer: 18-22

Step-by-step explanation:

Answer:

Step-by-step explanation:

it would be 67108864

Answer:

\(4^{13}\)

Step-by-step explanation:

In exponents multiplication, if base are same , add the powers

\(a^{m}*a^{n} = a^{m+n}\\\)

\(4^{6}*4^{7}= 4^{6+7} = 4^{13}\)

Answer: 4

Step-by-step explanation:

Well 15/4 is 3.75 so to get the whole number you need to round up

.75 rounds up to .8 now round 3.8 well 3.8 rounded up is 4 there's your answer! :)

Answer:

13.5*43=580.5

580.5/1=580.5

Bsically the answer would be 581 titles

Step-by-step explanation:

Answer:

3√2

Step-by-step explanation:

First, combine all the numbers in the square root, and then square root the number provided:

√(3 + 3 + 3 + 3 + 3 + 3) = √18

When square rooting, first, find prime factors of the number, 18. If there are pairs, they will be combined into a whole number:

√18 = √(3 * 3 * 2) = 3√2

3√2 is your answer.

~

To determine which events are mutually exclusive, we need to identify the events that cannot occur at the same time.

The options for the events are: Landing on a shaded section Landing on an even number Landing on an odd number Landing on a section that is not shaded Now let's analyze the options Landing on a shaded section (1 or 4) and landing on an even number (2 or 4) are mutually exclusive, as they cannot occur at the same time.

Landing on a shaded section (1 or 4) and landing on an odd number (1 or 3) are not mutually exclusive, as they can occur at the same time if the spinner lands on section 1. The mutually exclusive events in this scenario are:  Landing on a shaded section Landing on an even number

To know more about exclusive visit:

https://brainly.com/question/32256304

#SPJ11

From the given information, the two mutually exclusive events are:
1. Landing on a shaded section (sections 1 or 4)
2. Landing on an even number (sections 2 or 4)

Therefore, these are the two options that are mutually exclusive based on the spinner's configuration.

The term "mutually exclusive" refers to events that cannot occur at the same time. In this case, we need to determine which events on the spinner are mutually exclusive given the information provided.

To start, let's list the numbers on the spinner: 1, 2, 4, and 3. We are told that sections 1 and 4 are shaded, and the spinner is pointed at number 2.

Event 1: Landing on a shaded section.
This event includes landing on either section 1 or section 4. Since these sections are shaded, they cannot occur simultaneously with any other section on the spinner.

Event 2: Landing on an odd number.
This event includes landing on either section 1 or section 3. These sections are mutually exclusive with the even numbers, which are 2 and 4.

Event 3: Landing on a multiple of 4.
This event includes landing on section 4. Since section 4 is shaded, it cannot occur simultaneously with any other section on the spinner.

Event 4: Landing on an even number.
This event includes landing on either section 2 or section 4. These sections are mutually exclusive with the odd numbers, which are 1 and 3.

Learn more about mutually exclusive from the link:

https://brainly.com/question/12961938

#SPJ11

The sum of the arithmetic sequence 7, 9, 11, ..., 69 is 1216. To find the sum of the arithmetic sequence 7, 9, 11, ..., 69,

We can use the formula for the sum of an arithmetic sequence:

S = (n/2)(a + L)

where S is the sum, n is the number of terms, a is the first term, and L is the last term.

First, we need to find the number of terms in the sequence. To do this, we can use the formula for the nth term of an arithmetic sequence:

an = a1 + (n - 1)d

where an is the nth term, a1 is the first term, and d is the common difference. In this case, a1 = 7 and d = 2, so the formula becomes:

an = 7 + 2(n - 1)

an = 2n + 5

To find the value of n that corresponds to the last term, we solve for an = 69:

69 = 2n + 5

64 = 2n

n = 32

So there are 32 terms in the sequence.

Now we can use the formula for the sum of an arithmetic sequence to find the sum:

S = (n/2)(a + L)

S = (32/2)(7 + 69)

S = 16(76)

S = 1216

Therefore, the sum of the arithmetic sequence 7, 9, 11, ..., 69 is 1216.

Learn more about arithmetic sequence here:

https://brainly.com/question/28882428

#SPJ11

If Taylor is selected as one of the first two players out of ten players on the team, the probability of Jamie being selected as the third player is 4/9.

Using the multiplication rule of probability, the overall probability of both events happening is 8.9%

Assuming that there are only seniors and juniors on the team, the probability of Taylor being selected as one of the first two players is 2/10, since there are two juniors out of ten total players.

If Taylor is selected as one of the first two players, then there are nine players left, of which four are juniors, including Jamie.

Therefore, the probability of Jamie being selected as the third player, given that Taylor is already selected, is 4/9.

Using the multiplication rule of probability, the overall probability of both events happening is:

P(Taylor and Jamie) = P(Taylor) x P (Jamie | Taylor)

P(Taylor and Jamie) = 2/10 x 4/9

P(Taylor and Jamie) = 8/90

P(Taylor and Jamie) = 0.089 or 8.9% (rounded to the nearest tenth)

Therefore, the probability of Jamie being selected as the third player, given that Taylor is already selected as one of the first two players, is 8.9%.

Learn more about probability

brainly.com/question/11234923

#SPJ11

Answer:

  3.56 kg

Step-by-step explanation:

You want the mass of a model that is 45 cm tall and has a density of 1200 kg/m³ when the statue it is modeling is 270 cm tall, has a density of 2500 kg/m³, and a mass of 1600 kg.

The ratio of volumes of the model to the statue is the cube of the ratio of their heights:

  Vm/Vs = (Hm/Hs)³

  Vm = Vs(Hm/Hs)³ = (1600 kg)/(2500 kg/m³)·((45 cm)/(270 cm))³

  Vm ≈ 0.002963 m³

The mass of the model is the product of its volume and its density:

  Mm = Vm·ρ = (0.002963 m³)(1200 kg/m³) ≈ 3.56 kg

The mass of Justin's model is about 3.56 kg.

__

Additional comment

The relationship between density, volume, and mass is ...

  ρ = mass/volume

This can be rearranged to ...

  volume = mass/ρ

Which is the expression we used for Vs in the first section above.

(We used V and H for volume and height with 'm' and 's' signifying the model and the statue, respectively.)

<95141404393>

The mass of Justin's model is approximately 3.57 kg., rounded to 3 significant figures.

To find the mass of Justin's model, we can use the concept of mathematical similarity.

Mathematical similarity means that corresponding dimensions of two objects are proportional. In this case, Since the densities are also given, we can use the volume ratio to find the mass ratio.

Let's calculate the volume ratio first:

Volume ratio = (Height of model / Height of statue)^3

            = (45 cm / 270 cm)^3

            = (0.1667)^3

            = 0.00463

Now, using the density ratio:

Density ratio = Density of model / Density of statue

            = 1200 kg/m³ / 2500 kg/m³

            = 0.48

Finally, we can find the mass of Justin's model by multiplying the mass of the statue by the volume ratio and density ratio:

Mass of Justin's model = Mass of statue * Volume ratio * Density ratio

                     = 1600 kg * 0.00463 * 0.48

                     = 3.5712 kg

Rounding to 3 significant figures, the mass of Justin's model is approximately 3.57 kg.

Learn more about mass at https://brainly.com/question/86444

#SPJ1

1/3 of 18 = 6

the song dropped $6 each day

Answer: -6

Step-by-step explanation:

The value of a stock dropped a total of $18 over a 3-day period meaning -6 dollars each day.

-18/3

We can write the measurements as -

a = 7.8

b = 9.24

(B) = 50°

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that two triangles in the map below are similar.

We can write -

{ 1 } -

sin (A) = a/c

a = c sin(A)

a = 12 sin(40°)

a = 12 x 0.65

a = 7.8

{ 2 } -

cos (A) = b/c

b = c cos(A)

b = c cos(40°)

b = 12 x 0.77

b = 9.24

{ 3 } -

tan (B) = b/a

tan (B) = 9.24/7.8

tan (B) = 1.19

(B) = 50°

Therefore, we can write the measurements as -

a = 7.8

b = 9.24

(B) = 50°

To solve more questions on Triangles, visit the link below-

brainly.com/question/1041084

#SPJ1

Answer:

4

Step-by-step explanation:

1. AB:BC is 1:2

2. Add the 1 and the 2

(3)

3. Find the distance between -7 and 26

26-(-7) = 33

4. Divide the distance by 3

33/3 = 11

5. Find the distance from A---->B

-7 + 11 = 4