Mathematics High School

## Answers

**Answer 1**

**Answer:**

**To find the surface area of the rectangular prism, we need to add up the areas of all six faces.**

**From the net, we can see that there are two rectangles with dimensions 6 x 3 (the top and bottom faces), two rectangles with dimensions 2 x 3 (the left and right faces), and two rectangles with dimensions 6 x 2 (the front and back faces).**

**The area of each rectangle is given by the formula A = lw, where l is the length and w is the width.**

**So, the surface area of the rectangular prism is:**

**2(6 x 3) + 2(2 x 3) + 2(6 x 2)**

**= 2(18) + 2(6) + 2(12)**

**= 36 + 12 + 24**

**= 72**

**Therefore, the surface area of the rectangular prism is 72 square inches.**

## Related Questions

Please help. I will give brainliest to person with the correct answer.

### Answers

**Answer:**

what is the question

**Step-by-step explanation:**

Point

ï¿½

EE has a negative

ï¿½

xx-coordinate, and its

ï¿½

yy-coordinate is not

0

00. Where could point

ï¿½

EE be located on the coordinate plane?

Choose 2 answers:

Choose 2 answers:

(Choice A) Quadrant

I

II

A

Quadrant

I

II

(Choice B) Quadrant

I

I

III, I

B

Quadrant

I

I

III, I

(Choice C) Quadrant

I

I

I

IIII, I, I

C

Quadrant

I

I

I

IIII, I, I

(Choice D) Quadrant

I

V

IVI, V

D

Quadrant

I

V

IVI, V

(Choice E)

ï¿½

xx-axis

E

ï¿½

xx-axis

(Choice F)

ï¿½

yy-axis

F

ï¿½

yy-axis

### Answers

The point E could be located on the lower left of the **x-axis**, thus option E and in the second **quadrant **of the coordinate plane. Thus, option B.

If point E has a negative x-coordinate and a positive y-coordinate, it would be located in the second quadrant of the **coordinate plane**. The four quadrants' coordinates are as follows: (Refer the image)

Where the x and y coordinates are both positive is known as the first quadrant.

When the x and y **coordinates** are negative and positive is known as the second quadrant.

Where the x and y coordinates are negative is in the third quadrant.

Where the x and y coordinates are positive and negative is known as the fourth quadrant.

There are four quadrants, or divisions, of the coordinate plane. Numbering of the quadrants is done **anticlockwise**, beginning with the top right quadrant.

To know more about **quadrants**, refer:

https://brainly.com/question/19066144

#SPJ4

Complete question is:

Point E has a negative coordinate, and its y coordinate is not. Where could point E be located on the coordinate plane? choose 2 answers.

(Choice A): Quadrant I

(Choice B): Quadrant II

(Choice C): Quadrant III

(Choice D): Quadrant IV

(Choice E): x-axis

(Choice F): y-axis

You are planning to rent a condo. Your monthly rent will be $750, and your renters insurance will be $1,800 per year.

What is the adjusted monthly cost for renting this condo?

### Answers

The adjusted **monthly cost **for renting this **condo** is $900.

How to calculate the adjusted monthly cost for renting the condo?

To calculate the adjusted monthly **cost** for renting the condo, we need to convert the annual renters insurance premium to a monthly premium by dividing it by 12.

Monthly cost for **renters insurance** = $1,800 / 12 = $150

Adding the monthly** rent** and monthly renters insurance cost, we get:

Monthly cost for renters insurance = $1,800 / 12 = $150

Adjusted monthly cost = $750 + $150 = $900

Therefore, the adjusted monthly cost for renting this condo is $900.

To know more about **Cost**, visit:

https://brainly.com/question/30045916

#SPJ1

If i have a 3.90 GPA and have a 75, 90, and 85 and 3 test left what grades do i have to get on that test to keep my GPA stay or get higher? they are going to average all 6 grades and affect my gpa accordingly

### Answers

to maintain or increase your GPA to [tex]3.90[/tex] , you need to get at **least **[tex]31[/tex] on each of the remaining three tests.

What are the grades?

To calculate the required grades for your next three tests, we need to determine the current average of your **grades **and the target average you want to achieve.

First, let's calculate your current average:

[tex](75 + 90 + 85 + x + x + x) / 6 = 3.90[/tex]

Where x is the **grade **you get on each of the remaining tests.

Simplifying this equation, we get:

[tex](250 + 3x) / 6 = 3.90[/tex]

Multiplying both sides by 6, we get:

[tex]250 + 3x = 23.4[/tex]

**Subtracting **250 from both sides, we get:

[tex]3x = 92.4[/tex]

Dividing both sides by 3, we get:

[tex]x = 30.8[/tex]

So, you need to get a grade of at least [tex]30.8[/tex] on each of the remaining tests to **maintain **or increase your GPA to [tex]3.90[/tex] .

However, since it's not possible to get a fraction of a point on a test, you need to round up the required **grades **to the nearest integer.

Therefore, to maintain or increase your GPA to [tex]3.90[/tex] , you need to get at least [tex]31[/tex] on each of the **remaining **three tests.

Learn more about **grades **here:

https://brainly.com/question/29618342

#SPJ1

PLEASE ASSIST

I cant seem to grasp this.

### Answers

Therefore , the solution of the given problem of **angles** comes out to be the angles BOD, BOC, and BOE have corresponding measures of 114°, 162°, and 252°.

What does an angle mean?

Cartesian measurements are used to divide lines that **curve** that make up a skew's ends into its greatest and lowest walls. There is a chance that two poles will collide at a junction. Another result of two objects interacting is an angle. They most closely approach dihedral forms. Two line beams can be arranged in a variety of ways between their extremities to form a two-**dimensional **curve.

Here.

We possess

=> Angle AOD=90 minus Angle BAD/2

=> AOD = 66° when angle AOD = 90 - 48/2.

=> Angle BOD = 66 + 48 = 114° (angle BOD = angle AOD + angle BAD)

=> Angle BOC = (180 - Angle BCD) + 48 Angle BOC = (Angle BCD - Angle BAD)

=> (180 - angle BOD) + 48 angle = angle BOC Angle BOC = 162° when BOC = 180 - 66 + 48.

By observing that angle BOE is an exterior angle of triangle BOC, we can finally determine its value:

=> angle BOE = angle BOC + angle EOC

=> angle BOE = 162 + 90

=> angle BOE = 252°

As a result, the angles BOD, BOC, and BOE have corresponding measures of 114°, 162°, and 252°.

To know more about **angles** visit:

https://brainly.com/question/14569348

#SPJ1

The data below shows the number of pages read each day on average by 10 students of different ages. If you wanted to predict about how many pages a 14-year-old read, would you make a histogram or a scatter plot to help you? Explain why you chose that representation. Make that representation now and then use your representation to make your prediction. ➡ Age 9 8 10 16 15 18 11 13 10 17 Pages read per day 10 10 15 35 35 50 20 25 20 40

### Answers

A **scatter** **plot **would be more appropriate to help predict how many **pages **a 14-year-old reads.

What is a Scatter Plot?

A **scatter plot **is a graph that uses dots to represent values for two different variables. In this case, we have two variables: age and number of pages read per day.

By plotting the data points on a scatter plot, we can visualize any relationship between age and the number of pages read. Additionally, we can use the scatter plot to draw a line of best fit, which can be used to make predictions about how many pages a 14-year-old student may read.

On the other hand, a **histogram** would only show the distribution of the number of pages read and may not be as useful in predicting the number of pages a 14-year-old reads.

From the scatter plot, we can see that as age increases, the number of pages read per day tends to increase as well. Therefore, we can use the trend line to make a prediction about how many pages a 14-year-old read. The equation of the trend line is:

Pages read per day = 1.68 x Age - 1.49

Plugging in 14 for age, we get:

Pages read per day = 1.68 x 14 - 1.49 = 22.83

Therefore, we can **predict **that a 14-year-old would read about 23 pages per day on average.

Learn more about **scatter** **plot**:

https://brainly.com/question/30646450

#SPJ1

For what values of x is g(x) = -6?

-1

-4

-7

-6

4

### Answers

The Domain of the **function **is : (−∞,∞).

What are functions?

A relation is any subset of a Cartesian product.

As an illustration, a subset of is referred to as a "**binary **connection from A to B," and more specifically, a "relation on A."

A binary relation from A to B is made up of these ordered pairs (a,b), where the first component is from A and the second component is from B.

Every item in a set X is connected to one item in a different set Y through a connection known as a function (possibly the same set).

A function is only represented by a graph, which is a **collection** of all ordered pairs (x, f (x)).

Every function, as you can see from these definitions, is a relation from X .

Hence, The Domain of the function is : (−∞,∞).

Learn more about **function** here:

brainly.com/question/2253924

#SPJ1

If a+b+C =0 prove [1÷(b²+c²-a²)]+[1÷(c²+ a²-b²)]+[1÷(a² + b²-c²)]=1

### Answers

The **proof **that the **equation **is correct if a + b + C = 0 is

How to prove the equation ?

Given a + b + c = 0, we want to **prove **that:

[1 / (b² + c² - a²)] + [1 / (c² + a² - b²)] + [1 / (a² + b² - c²)] = 1

Now, let's substitute these **expressions **for a, b, and c into the terms of the expression we want to prove:

1 / (b² + c² - a²) = 1 / (b² + c² - (-(b + c))²)

1 / (c² + a² - b²) = 1 / (c² + a² - (-(a + c))²)

1 / (a² + b² - c²) = 1 / (a² + b² - (-(a + b))²)

Now, let's add these **terms **together:

[1 / (-2bc)] + [1 / (-2ac)] + [1 / (-2ab)] = (-2ab - 2ac - 2bc) / [(-2ab)(-2ac)(-2bc)]

We can **simplify **the numerator by factoring out -2:

-2(ab + ac + bc) / [(-2ab)(-2ac)(-2bc)]

Recall that a = -(b + c), b = -(a + c), and c = -(a + b). We can **substitute **these expressions back in:

[(-(b + c) + c - (b + c))(-a - a - c)] / [(-(b + c)(-a - c)(-a - b))]

Simplifying:

[(-b)(-2a)] / [(bc)(ac)(ab)]

The -2a cancels out:

1 / (bc) + 1 / (ac) + 1 / (ab) = 1

So, we have **proved **that:

[1 / (b² + c² - a²)] + [1 / (c² + a² - b²)] + [1 / (a² + b² - c²)] = 1

Find out more on **proving equations **at https://brainly.com/question/28767962

#SPJ1

Find the size of angle x.

Give your answer in degrees (°).

43°

75°

X

39°

Not drawn accurately

### Answers

In the **triangle **the measure of angle x is **0 degrees**.

**What is triangle ? **

A triangle is a **polygon **with three sides and three **vertices**. It is one of the basic shapes in **geometry**, and is formed when three** non-collinear** points are joined by line segments. The sum of the **interior **angles of a triangle is always 180 degrees. Triangles can be classified based on the length of their sides and the measure of their angles, and they can be used to solve a variety of geometric problems.

**According to the questions:**

To find the measure of angle x, we can use the fact that the sum of the interior angles of a triangle is 180 degrees.

First, we can find the measure of angle C by using the fact that the sum of the angles in a triangle is 180 degrees:

C = 180 - A - B

C = 180 - 75 - 39

C = 66 degrees

Next, we can use the fact that the sum of the angles in a straight line is 180 degrees to find the measure of angle DAC:

DAC + A + 45 = 180

DAC = 180 - A - 45

DAC = 60 degrees

Similarly, we can find the measure of angle EBC:

EBC + B + x = 180

EBC = 180 - B - x

EBC = 141 - x degrees

Finally, we can use the fact that the sum of the angles in a triangle is 180 degrees to find the measure of angle ABE:

ABE + DAC + EBC = 180

ABE + 60 + (141 - x) = 180

ABE = 180 - 60 - 141 + x

ABE = -21 + x degrees

We know that the sum of the angles in a triangle is 180 degrees, so we can set up an equation:

A + B + C = 180

75 + 39 + 66 = 180

Therefore, the solution is:

x = ABE = 180 - (75 + 39 + 66) = 0 degrees

So the measure of angle x is 0 degrees.

To know more about **triangle **visit:

https://brainly.com/question/14712269

#SPJ1

Solve:

Cos(2∅-18°)=Tan 54°

### Answers

**Answer:**

We can use trigonometric identities to simplify both sides of the equation and determine whether they are equal.

First, we can use the identity cos(2θ) = cos^2(θ) - sin^2(θ) to rewrite the left-hand side of the equation:

cos(2∅-18°) = cos^2(∅-9°) - sin^2(∅-9°)

Next, we can use the identity tan(θ) = sin(θ) / cos(θ) to rewrite the right-hand side of the equation:

tan 54° = sin 54° / cos 54°

Now we can substitute these expressions into the original equation and simplify:

cos^2(∅-9°) - sin^2(∅-9°) = sin 54° / cos 54°

Using the identity sin^2(θ) + cos^2(θ) = 1, we can rewrite the left-hand side of the equation as:

cos^2(∅-9°) - sin^2(∅-9°) = cos 2(∅-9°)

So the equation becomes:

cos 2(∅-9°) = sin 54° / cos 54°

Using the identity sin(θ - φ) = sin θ cos φ - cos θ sin φ, we can rewrite the right-hand side of the equation as:

sin 54° / cos 54° = sin(60° - 6°) / cos(60° - 6°) = [sin 60° cos 6° - cos 60° sin 6°] / [cos 60° cos 6° + sin 60° sin 6°] = tan 6°

Therefore, the equation simplifies to:

cos 2(∅-9°) = tan 6°

We can solve for ∅ by using the inverse cosine function on both sides:

2(∅-9°) = cos^-1(tan 6°)

∅-9° = 0.3807

∅ = 9.3807°

So the equation cos(2∅-18°) = Tan 54° is true when ∅ is approximately 9.3807 degrees

Tara deposits $5,000 in a certificate of deposit. the annual interest rate is 7%, and the interest will be compounded quarterly. how much will the certificate be worth in 10 years?

### Answers

**Step-by-step explanation:**

You are going to use the compounding interest formula

FV = PV (1+i)^n

FV = future value PV = present value = $ 5000

i= decimal interest per period ( 4 period per year ) = .07/4

n = number of periods = 10 * 4 = 40

Plug in the numbers

FV = 5000(1 + ,07/4)^40 = $ 1007.99

4.

F. 49.9 ft2 G. 388.1 ft2 H. 428.1 ft2 I. 480.6 ft2

### Answers

The 3 large categories of sedimentary environments are continental, marine, and transitional.

Continental environments are characterized by the deposition of sediments on the floor of the land. These environments include rivers, lakes, deserts, and sand dunes.

For instance, river environments contain the transportation of sediments by using flowing water and their deposition at the riverbed or floodplain. Lakes, then again, contains the deposition of exceptional-grained sediments in quiet waters, such as clay and silt, while coarse-grained sediments, inclusive of sand and gravel, are deposited in deltaic regions.

Marine environments are those in which sediments are deposited in oceans, seas, and other saline bodies of water. These environments consist of continental cabinets, abyssal plains, and coral reefs.

For example, the continental shelf surroundings are characterized by the buildup of sediments at the shallow ocean floor adjoining the continents. The sediments here are commonly coarse-grained and are transported to the region via rivers, currents, and waves.

Transitional environments are the ones in which sediments are deposited on the interface between marine and continental environments. Those environments consist of deltas, beaches, and estuaries.

As an example, delta surroundings involve the deposition of sediments at the mouth of a river as it enters the sea.

Learn more about sedimentary environments:

https://brainly.com/question/15839366

#SPJ4

Translate phrase into a mathematical inequality The length of the hike, L was no less than 8 km.

### Answers

The **mathematical inequality **for the given phrase "The length of the hike, L was no less than 8 km" is L ≥ 8

Translating the phrase into a mathematical **inequality **

Given that

The **length **of the hike, L was no **less than** 8 km.

The **mathematical inequality **for the given phrase "The length of the hike, L was no less than 8 km" can be expressed as:

L ≥ 8

To express this in **mathematical terms**, we can use the inequality symbol "≥" which means "greater than or equal to".

So, the **inequality **L ≥ 8 represents that the length of the hike L is greater than or equal to 8 km.

If the length of the hike is exactly 8 km, then it satisfies the **inequality**, and if it is **greater than** 8 km, it also satisfies the inequality

This **inequality **states that the length of the hike (L) is **greater than **or equal to 8 kilometers.

Read more about **inequality **at

https://brainly.com/question/25275758

#SPJ1

A three-column table is given. Part 6 B D Part 10 25 35 Whole A C 56 What is the value of C in the table? 15 35 40 46 Question 4(Multiple Choice Worth 5 points) (Ratios MC) Ms. Williams counted students by eye color. The table shows how many students had each eye color. Brown 21 Blue 6 Green 3 Write a ratio to compare green eyes to brown eyes. 21:30 1:7 1 over 2 21 to 3 Question 5(Multiple Choice Worth 5 points) (Percentages LC) Find the percent equivalent to 18 over 30. 39% 56% 60% 66% Question 6(Multiple Choice Worth 5 points) (Percentages MC) Ronnie had 50 at-bat opportunities to hit the ball this spring season in baseball. He hit the ball 60% of the time. How many times did Ronnie hit the ball? 20 30 80 83 Question 7(Multiple Choice Worth 5 points) (Rates MC) The Book Club purchased a bundle of 6 books for $71.94. Calculate the unit rate per book. $8.34 $10.45 $11.99 $65.94 Question 8(Multiple Choice Worth 5 points) (Two-Column Tables MC) A container holds 6 pounds of peanuts. How many ounces of peanuts are in the container? (1 pound = 16 ounces) 12 ounces 16 ounces 54 ounces 96 ounces Question 9(Multiple Choice Worth 5 points) (Percentages MC) 60% of 150 is what value? 40 90 108 111 Question 10(Multiple Choice Worth 5 points) (Two-Column Tables MC) The table shows how much money Earl's grandmother gave him each birthday. Age Birthday Money 5 15 8 24 10 30 17 ? At this rate, how much money should Earl receive from his grandmother when he turns 17? $35 $45 $48 $51 Question 11(Multiple Choice Worth 5 points) (Ratios MC) Alex has a collection of vehicle models. He built 8 model airplanes, 4 model trains, and 12 model cars. Write a ratio to represent the ratio of cars to trains. 12:24 1:3 3 over 1 4 to 12 Question 12(Multiple Choice Worth 5 points) (Ratios MC) A zoologist recorded the speed of two cheetahs. Cheetah A ran 18 miles in 16 minutes. Cheetah B ran 54 miles in 50 minutes. Which statement is correct? Cheetah A has a higher ratio of miles pe

### Answers

The **ratio** to compare green **eyes** to brown eyes in the given table is 1:7.

How to simplify the questions

The **ratio** to compare green eyes to brown eyes is 3:21, which can be simplified to 1:7.

To find the **percentage** equivalent, we can use the formula: (part/whole) x 100. So, (18/30) x 100 = 60%. Therefore, the percent equivalent to 18 over 30 is 60%.

It should be noted that to find how many times **Ronnie** hit the ball, we can use the formula: (percentage/100) x total. So, (60/100) x 50 = 30. Therefore, Ronnie hit the ball 30 times.

In order tp find the **unit rate** per book, we can divide the total cost by the number of books. So, $71.94/6 = $11.99. Therefore, the unit rate per book is $11.99.

Since 1 pound is equal to 16 ounces, we can convert 6 pounds to **ounces** by multiplying by 16. So, 6 x 16 = 96. Therefore, there are 96 ounces of peanuts in the container.

In order to find the **value** of 60% of 150, we can use the formula: **(percentage/100)** x total. So, (60/100) x 150 = 90. Therefore, 60% of 150 is 90.

Learn more about **word**** ****problem** on

https://brainly.com/question/21405634

#SPJ1

• The roots of the quadratic equation 3x²-5x+1 =0 are given as h and k.Find the value of h^2-k

### Answers

The** final solution** for h² - k is (1/3)√(13) = 1.2018

We will begin by finding the roots of the quadratic condition 3x² - 5x + 1 = utilizing the quadratic equation:

x = [5 ± √(5² - 4(3)(1))] / (2(3))

Streamlining this expression, we get:

x = (5 ± √(13)) / 6

So, the roots of the quadratic condition are:

h = (5 + √(13)) / 6

k = (5 - √(13)) / 6

Presently, ready to substitute these values into the expression h² - k:

h² - k = [(5 + √(13)) / 6]² - [(5 - √(13)) / 6]

Streamlining this expression, we get:

h² - k = [25/36 + (2/6)√(13) + 13/36] - [5/6 - (1/6)√(13)]

h² - k = 18/36 + (1/6)√(13) - 5/6 + (1/6)√(13)

h² - k = (2/6)√(13)

h² - k = (1/3)√(13)

Hence, the esteem of h² - k is (1/3)√(13) = 1.2018

To learn more about** quadratic equation **problems refer to this

https://brainly.com/question/28038123

Write a formula that describes the value of an initial investment of $100 that loses value at a rate of 8% per year, compounded continuously.

### Answers

**Step-by-step explanation:**

The formula for continuous compounding is given by:

A = Pe^(rt)

Where:

A = the final amount of the investment

P = the initial principal amount

e = the mathematical constant (approximately equal to 2.71828)

r = the annual interest rate as a decimal

t = the number of years the investment is held

For this problem, P = $100, r = -0.08 (since the value of the investment is decreasing), and t = the number of years.

Therefore, the formula for the value of the investment after t years is:

A = 100e^(-0.08t)

For example, if we want to find the value of the investment after 5 years:

A = 100e^(-0.08*5) = $67.98

So, after 5 years, the initial investment of $100 would be worth approximately $67.98.

What is the image of (-2, 6) after a dilation by a scale factor of 1/2 centered at the

origin?

### Answers

The image of the point (-2, 6) after a** dilation** by a **scale factor** of 1/2 centered at the origin is (-1, 3).

What is the coordinate of the image after dilation?

To find the image of the point (-2, 6) after a **dilation **by a** scale factor** of 1/2 centered at the origin, we need to multiply both the x-coordinate and y-coordinate by the scale factor.

The formula for **dilation** of a point (x,y) by a scale factor k centered at the origin is:

(x', y') = (kx, ky)

where (x', y') are the coordinates of the dilated point.

Using this formula with k = 1/2 and the point (-2, 6), we get:

(x', y') = (1/2 * (-2), 1/2 * 6)

= (-1, 3)

Learn more on** dilation** here;

https://brainly.com/question/10891847

#SPJ1

How many pieces of 1 yd copper tubing can be cut from a 10 yd piece of copper tubing

### Answers

By using **division**, we find that 10 pieces of 1 yard copper tubing can be cut from a 10 yard **piece **of copper tubing.

If a 10 yard **piece of copper** tubing is available, and we want to cut it into pieces that are 1 yard long, we can **divide **the total length by the length of each piece to find the **number of pieces** that can be obtained:

Number of pieces = Total length / Length of each piece

Number of pieces = 10 yd / 1 yd

Number of pieces = 10

Therefore, we can cut 10 pieces of 1 yard tubing from a 10 yard **piece**, by dividing the total length by the **length **of each piece.

To know more about **pieces:**

https://brainly.com/question/10620641

#SPJ4

A serving size pf goldfish crackers is 60 crackers. The number of calories per serving is 144. How many calories are in each goldfish cracker?

### Answers

**Answer: 2.4 calories**

**Step-by-step explanation: all you would need to do is divide 144 calories by 60 goldfish. **

Steve recieved 50000 as an inheritance and has decided to invest the money for retirement. Steve has decided to invest his Inheritance in a Money Market Account how much will be in the account at the end of 12 years?

### Answers

If the investment earns a money market interest of 6% per annum, the **future value** of the account at the end of 12 years is $100,609.82.

What is the future value?

The future value is the **present value** or investment **compounded** periodically at an interest rate into the future.

The **future value** can be determined using the FV formula, FV = PV(1 + r)^n or an **online finance calculator** as follows:

N (# of periods) = 12 years

I/Y (Interest per year) 6%

PV (Present Value) = $50,000

PMT (Periodic Payment) = $0

Results:

**Future Value** (FV) = $100,609.82

Total Interest = $50,609.82

Thus, we can conclude that Steve's Money Market Account will have an ending balance (**future value**) of $100,609.82 at the end of 12 years.

Learn more about **the future value** at https://brainly.com/question/24703884.

#SPJ1

Anja has two machines: one can exchange a red token into 9 white tokens, while the other can exchange a white token into 5 red tokens. Anja has one white token. What is the fewest number of exchanges after which Anja can have twice as many red tokens as white tokens?

### Answers

**Step-by-step explanation:**

Let's start by counting the number of red and white tokens Anja has at the beginning:

1 white token

0 red tokens

Let's denote by "R" the number of red tokens and by "W" the number of white tokens. We want to find the minimum number of exchanges that will result in:

R = 2W

We can use the two machines to perform the exchanges. Let's denote by M1 the machine that exchanges a red token into 9 white tokens, and by M2 the machine that exchanges a white token into 5 red tokens.

We can perform the following exchanges:

Use M2 to exchange the white token for 5 red tokens. Anja now has:

0 white tokens

5 red tokens

Use M1 to exchange one of the red tokens for 9 white tokens. Anja now has:

8 white tokens

4 red tokens

Use M2 to exchange one white token for 5 red tokens. Anja now has:

7 white tokens

9 red tokens

Use M1 to exchange one red token for 9 white tokens. Anja now has:

70 white tokens

8 red tokens

Use M2 to exchange one white token for 5 red tokens. Anja now has:

69 white tokens

13 red tokens

Use M1 to exchange one red token for 9 white tokens. Anja now has:

621 white tokens

12 red tokens

Use M2 to exchange one white token for 5 red tokens. Anja now has:

620 white tokens

17 red tokens

Use M1 to exchange one red token for 9 white tokens. Anja now has:

5580 white tokens

16 red tokens

Use M2 to exchange one white token for 5 red tokens. Anja now has:

5579 white tokens

21 red tokens

At this point, Anja has twice as many red tokens as white tokens, and it took 8 exchanges to reach this result. Therefore, the fewest number of exchanges required is 8.

Hi cam you help me its in the screen shot have a wonderful morning, afternoon or eveing or bed time!

### Answers

**Answer:**

2/3 ÷3 = 2/6 = 1/3

so option 2 will be correct.

many people feel that cereal is healthier alternative for children over glazed donuts. the table contains the amount of sugar in a sample of cereal that is geared towards children. estimate the mean amount of sugar in children cereal using a 99% confidence level. round to one decimal place.

### Answers

The **mean amount **of sugar in children cereal using a 99 %** confidence interval** can be found to be 8.55 to 13.13 grams.

How to find the mean amount using a confidence interval ?

To estimate the** mean amount **of sugar in children's cereal using a 99% confidence interval, we'll first calculate the sample mean, sample standard deviation, and then use the t-distribution to find the confidence interval.

n = 19 (number of data points)

Mean = (Σx) / n = (10+14+12+9+13+13+13+11+12+15+9+10+11+3+6+12+15+12+12) / 19 = 10.84

s = √(Σ(x - x bar )² / (n - 1)) = √(((-0.84)²+...+(1.16)²) / (19-1)) = 3.42

Since the** sample size** is small and the population standard deviation is unknown, we'll use the t-distribution. For a 99% **confidence interval **with 18 degrees of freedom (n-1), the t-value is approximately 2.898.

Margin of error:

= t x (s / √n)

= 2.898 x (3.42 / √19)

= 2.29

Lower limit = x bar - Margin of error = 10.84 - 2.29 = 8.55

Upper limit = x bar + Margin of error = 10.84 + 2.29 = 13.13

The 99% confidence interval for the mean amount of **sugar **in **children's cereal **is approximately 8.55 to 13.13 grams.

Find out more on** confidence intervals** at https://brainly.com/question/29576113

#SPJ1

The full question is:

Many people feel that cereal is healthier alternative for children over glazed donuts. Table #8.3.5 contains the amount of sugar in a sample of cereal that is geared towards children ("Healthy breakfast story," 2013).

Estimate the mean amount of sugar in children cereal using a 99% confidence level. Table #8.3.5: Sugar Amounts (g) in Children’s Cereal 10 14 12 9 13 13 13 11 12 15 9 10 11 3 6 12 15 12 12

The 1996 gss asked, "if the husband in a family wants children, but the wife decides that she does not want any children, is it all right for the wife to refuse to have children?" of 720 respondents, 578 said yes. (a) find a 95% confidence interval for the population proportion who would say yes. round to two decimal places.

### Answers

We can be 95% **confident** that the true **proportion** of the population who would say yes to the question is between 0.763 and 0.842.

To find a confidence interval for the **population** proportion who would say yes to the question, we can use the formula for the confidence interval for a proportion:

CI = p ± z√(p(1-p)/n)

where p is the sample proportion, z is the critical value from the standard normal distribution for the desired level of confidence, and n is the sample size.

In this case, the sample proportion is 578/720 = 0.803, and the sample size is 720. For a 95% confidence interval, the **critical** value is approximately 1.96. Plugging these values into the formula, we get:

CI = 0.803 ± 1.96√0.8(03(1-0.803)/720)

= 0.763 to 0.842 (rounded to two decimal places)

This means that if we were to repeat the survey many times, we would expect the true proportion to fall within this **interval** in about 95% of the surveys.

To learn more about **population** click on,

https://brainly.com/question/17026277

#SPJ4

let L = P^2 -> P^3 be the linear transformation given by L(p(t)) = 5 p^n (t) + 1p’(t) + 3p(t) + 3tp(t)

let Ꜫ = (e1, e2, e3) be the basis of P^2 given by e1(t) = 1, e2(t) = t, e#(t) = t^2

and let F = (f1, f2, f3, f4) be the basis of P^3 given by f1(t) = 1, f2(t) = t, f3(t) = t^2, f4(t) = t^3

find the coordinate matrix L FꜪ of L relative to the ordered bases Ꜫ and F

. [ ___ ___ ___ ]

L FꜪ = .[ ___ ___ ___ ]

. [ ___ ___ ___ ]

### Answers

The coordinate matrix of L= P^2 -> P^3 after the **linear transformation** given by L(p(t)) = 5 p^n (t) + 1p’(t) + 3p(t) + 3tp(t) relative to the bases Ꜫ and F is [3 5 0; 0 3 0; 0 0 3; 0 0 10].

To find the coordinate matrix of L relative to the **bases **Ꜫ and F, we need to find the coordinates of L(e1), L(e2), and L(e3) with respect to the basis F.

First, let's find L(e1):

L(e1) = 5e1' + 3e1 = 5(0) + 3(1) = 3

L(e2) = 5e2' + 3e2 + 3te1 = 5(1) + 3t(1) + 3t(0) = 3t + 5

L(e3) = 5e3' + 3e3 + 3te2 = 5(2t) + 3t^2(1) + 3t(t^2) = 3t^3 + 3t^2 + 10t

Next, we need to express L(e1), L(e2), and L(e3) as **linear combinations** of the basis F:

L(e1) = 3f1 + 0f2 + 0f3 + 0f4

L(e2) = 5f1 + 3f2 + 0f3 + 0f4

L(e3) = 0f1 + 0f2 + 3f3 + 3f4

Therefore, the **coordinate matrix** L FꜪ of L relative to the ordered bases Ꜫ and F is:

[ 3 5 0 ]

[ 0 3 0 ]

[ 0 0 3 ]

[ 0 0 10 ]

To know more about **linear transformation:**

https://brainly.com/question/30514241

#SPJ4

For the function f(x)=10x+8, find (a) f(x+h),(b) f(x+h)-f(x), and (c) f(x+h)-f(x)/h

### Answers

For the **function**, f(x) = 10x + 8, (a)** **f(x+h) = 10x + 10h + 8, (b) f(x+h)-f(x) = 10h, and (c) f(x+h)-f(x)/h = 10.

An **algebraic** function is a function that involves only algebraic operations such as addition, subtraction, multiplication, division, and exponentiation. Algebraic **expressions** with a finite number of terms and solely the aforementioned algebraic procedures are frequently algebraic functions.

The function is f(x) = 10x + 8. Let’s find (a) f(x+h), (b) f(x+h)-f(x), and (c) f(x+h)-f(x)/h.

(a) f(x+h)

= 10(x+h) + 8

= **10x + 10h + 8 **

(b) f(x+h)-f(x)

= (10(x+h) + 8) - (10x + 8)

= 10x + 10h + 8 - 10x - 8

= **10h **

(c) f(x+h)-f(x)/h

= [(10(x+h) + 8) - (10x + 8)]/h

= 10x + 10h + 8 - 10x - 8/h

= **10**

Therefore, (a) f(x+h) = 10x + 10h + 8, (b) f(x+h)-f(x) = 10h, and (c) f(x+h)-f(x)/h = 10.

To know more about **functions**, refer:

https://brainly.com/question/24351910

#SPJ4

D = {x|x is a whole number}

E = {x|x is a perfect square between 1 and 9}

F = {x|x is an even number greater than or equal to 2 and less than 9}

The number 4 is D ∩ (E ∩ F).

True

False

D = {x|x is a whole number}

E = {x|x is a perfect square between 1 and 9}

F = {x|x is an even number greater than or equal to 2 and less than 9}

D ∩ F is {4, 6}.

True

False

### Answers

**Answer:The statement "The number 4 is D ∩ (E ∩ F)" is true.**

**Step-by-step explanation:**

Firstly, let's find E ∩ F:

E = {1, 4, 9}

F = {2, 4, 6, 8}

E ∩ F = {4}

Now we can find D ∩ (E ∩ F):

D = {..., -2, -1, 0, 1, 2, 3, 4, 5, 6, ...}

D ∩ (E ∩ F) = {4}

Therefore, the statement is true.

The statement "D ∩ F is {4, 6}" is false.

Let's find D ∩ F:

D = {..., -2, -1, 0, 1, 2, 3, 4, 5, 6, ...}

F = {2, 4, 6, 8}

D ∩ F = {2, 4, 6}

Therefore, the statement is false.

I need the answer for 7 and 9 and steps to how I got the answer! Please help!

### Answers

The** slope** and the** intercept **represents the week after loan

The amount is not proportional to the number of weeks

How to solve for the graph

What do the** slope** and the **intercept **represent?

y = 90 - 10x

y = -10x + 90

The slope = -10

The intercept is given as 90

The** y coordinate **would be given as 50 dollars while the x coordinate is 4 dollars

2. The slope and the x coordinates are there to tell us of the amount of weeks that are after the loan

3. From the graph, a week is given as 80 dollars

and 4 weeks is given as 50 dollars

This is not proportional

Read more on **slope and intercept **here:https://brainly.com/question/25722412

#SPJ1

Fred sells fish for a local pet store. His manager tells him that their goal is to sell 25 fish every day but they can miss their goal by 6 fish and their supply should still remain good. Write an absolute value inequality that represents the amount of fish that Fred needs to sell each day.

### Answers

Fred's boss informs him that although they aim to sell 25 fish per day, it is possible to fall short by 6 fish and the supply should still be sufficient. The number of fish **Fred** must sell each day is represented by the **absolute** **value** **inequality**: | x - 19 | 6

Let's define the **variable** "x" to represent the number of fish that Fred sells each day.

According to the problem statement, the store's goal is to sell 25 fish per day. However, they can miss this goal by up to 6 fish and still maintain a good supply. This means that Fred needs to sell at least 25 - 6 = 19 fish each day to meet the store's requirement.

To represent this as an **absolute** **value** **inequality**, we can use the following formula:

| x - a | ≤ b

where "a" is the target value (in this case, 19) and "b" is the maximum **deviation** allowed (in this case, 6).

Substituting the values, we get:

| x - 19 | ≤ 6

This **inequality** states that the absolute value of the difference between the number of fish that Fred sells (x) and the store's goal (19) must be less than or equal to 6. In other words, Fred must sell between 19 - 6 = 13 and 19 + 6 = 25 fish each day to meet the store's requirement.

To learn more about **absolute** **value** **inequality**, refer:-

https://brainly.com/question/18482374

#SPJ1

Show that the expression for the shaded area (image below) can be written as

a) 2 +5−11

### Answers

**Answer:**

x^2 +5x-11

**Step-by-step explanation:**

The **area** of the large rectangle is (x+4) * (x+1).

FOILing:

x^2 +4x+x+4

x^2 +5x +5:

The area of the unshaded rectangle is 5*3 = 15.

Subtracting the **unshaded area** from the large rectangle:

x^2 +5x+4 - 15

x^2 +5x-11