Plz help:
Which mapping diagram represents a function from x → y?
(THE SECOND PICTURE IS NOT AN OPTION)

Plz Help:Which Mapping Diagram Represents A Function From X Y?(THE SECOND PICTURE IS NOT AN OPTION)
Plz Help:Which Mapping Diagram Represents A Function From X Y?(THE SECOND PICTURE IS NOT AN OPTION)

Answers

Answer 1

Option A is correct, A shows a mapping diagram which represents a function from x → y

What is a function?

A relation is a function if it has only One y-value for each x-value.

A mapping diagram that represents a function from x to y is a diagram that shows a set of ordered pairs (x, y), such that each x-value has exactly one corresponding y-value

For option A, the ordered pairs are (4, 5)(5,5),(6,1),(8,2).

For each value of x there is only one value of y or else the values of x are not repeated so the diagram represents a function.

In other option the x has 2 values of y.

Hence, option A is correct, A shows a mapping diagram which represents a function from x → y

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ6

Answer 2

A mapping diagram that represents a function from x → y include the following: A. mapping diagram A.

What is a function?

In Mathematics, a function is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (Set A) to an output variable (Set B).

Based on the mapping diagram shown above, we can reasonably infer and logically deduce that the inputs (4, 5), (5, 5), (6, 1), and (8, 2) are ordered pairs that represents a function because they indicate unique mappings of each input value to an output value.

Read more on function here: brainly.com/question/3632175

#SPJ3


Related Questions

What is the solution to the inequality 10.5x > 147

Answers

Answer:

x > 14

Step-by-step explanation:

10.5x > 147   (divide both sides by 10.5)

x > 147 / 10.5

x > 14

Inequalities help us to compare two unequal expressions. The solution to the inequality 10.5x > 147 is 14.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The solution of the inequality can be solved as shown below,

[tex]10.5x > 147\\\\x>\dfrac{147}{10.5}\\\\x>14[/tex]

Thus, the solution to the inequality 10.5x > 147 is 14, which means the value of the x must be greater than 14.

Hence, the solution to the inequality 10.5x > 147 is 14.

Learn more about Inequality:

https://brainly.com/question/19491153

at Sam's sandwich shop, toni ate 3/4 of a medium sandwich, Becky ate 3/4 of a small sandwich, and Mary jo ate 6/8 of a medium sandwich. explain why toni and Mary jo ate the same amount of sandwich, but toni and Becky ate different amounts ​

Answers

Answer:

Here's what I get  

Step-by-step explanation:

Let's assume that the sandwiches are circular (because I couldn't find a good rectangular fraction maker.

Toni ate ¾ of a medium sandwich (Figure below).

Mary Jo ate ⁶/₈ of a medium sandwich.

Mary Jo ate the same amount as Toni, because ¾ = ⁶/₈

Becky ate ¾ of a small sandwich and Toni ate ¾ of a medium sandwich.

Becky ate less than Toni, because ¾ of a small amount is less than ¾ of a large amount.

tim and his brother are building towers out of blocks. Tim is using blue blocks that are 6 cm tall and his brother is using green blocks that are 8 cm tall. They both made towers the same height. What is the shortest possible height of the tower? how many of each color block did they use

Answers

The shortest possible height of the tower is 24 cm

They used 4 blue blocks and 3 green blocks

Step-by-step explanation:

Tim and his brother are building towers out of blocks

Tim is using blue blocks that are 6 cm tallHis brother is using green blocks that are 8 cm tallThey both made towers the same height

We need to find the shortest possible height of the tower and how many of each color block they used

∵ Tim is using blue blocks that are 6 cm tall

∴ The height of his tower is a number divisible by 6

∵ His brother is using green blocks that are 8 cm tall

∴ The height of his tower is a number divisible by 8

∵ The heights of their towers are equal

∴ The height of the towers must be a number divisible by 6 and 8

Let us write some multiples of 6 and 8 to find the first common multiple of them

∵ The multiples of 6 are 6 , 12 , 18 , 24 , 30 , 36 , .........

∵ The multiples of 8 are 8 , 16 , 24 , 32 , 40 , .............

∵ The first common multiple of them is 24

∴ The shortest possible height of the tower is 24 cm

∵ The height of each blue block is 6 cm

- Divide the height of the tower by the height of the block to

   find the number of blue blocks

∵ 24 ÷ 6 = 4

∴ Time is using 4 blue blocks

∵ The height of each green block is 8 cm

- Divide the height of the tower by the height of the block to

   find the number of green blocks

∵ 24 ÷ 8 = 3

∴ His brother is using 3 green blocks

The shortest possible height of the tower is 24 cm

They used 4 blue blocks and 3 green blocks

Learn more:

You can learn more about the word problems in brainly.com/question/6569012

#LearnwithBrainly

Can someone help me with process 1, please?

Answers

X = 4 if it’s algebra

Answer:

Step-by-step explanation:

If x = 1;        x  + 3 = 1 + 3 = 4  (≠ 7)

If x = 2;       x  + 3 = 2 + 3 = 5  (≠ 7)

If x = 3;       x  + 3 = 3 + 3 = 6  (≠ 7)

If x = 4;       x  + 3 = 4 + 3 = 7  ( =7)

x + 3 = 7 is true when x = 4

ASAP, NEED HELP ASAP

Answers

Answer:

OPTION C

Step-by-step explanation:

If SOLUTION A has 4 cups then SOLUTION B has 2. If SOLUTION A has 8 then SOLUTION B has 4.

Note that for every 2 cups of Solution A, we have 1 cup of Solution B.

So, OPTION A is incorrect.

If there are 4 cups of Solution A, then there are 4 + 2 cups in total.

That means the ratio of cups of SOLUTION  A to the total number of cups is:

4 : 6 = 2 : 3

Similarly, 8 : 12 = 2 : 3

And, 12 : 18 = 2 : 3

And, 16 : 24 = 2 : 3

So, we see that the ratio is 2 : 3.

Therefore, OPTION C is the correct answer.

Answer:

kmjinhuygtfdrs

Step-by-step explanation:

Which describes the correlation shown in the scatterplot?

A. There is a positive linear correlation.
B. There is a negative linear correlation.
C. There is no positive or negative correlation.
D. There is a nonlinear correlation.

Answers

Answer:

C

Step-by-step explanation: As you can see, the correlation goes up and down, this does not represent positive nor negative.  Therefore, C would be your final answer.

Answer: C) There is no positive or negative correlation

A positive correlation is one where the values are increasing, and the line of dots are clearly going down to up.

A negative correlation is the opposite. The values are decreasing, and the line goes from up to down.

This correlation is one that is neither positive or negative. It is a straight line where the values neither increase nor decrease.

Hope this helps comment below for more questions :)

Jack puts 2 photos on each of 7 pages of his photo album. How many photos does he use? Complete the jumps on the number lineby adding arrows.​

Answers

Answer:

14

Step-by-step explanation:

If Jack puts 2 photos per page and there are 7 pages 2x7=14 or 2+2+2+2+2+2+2=14 on a number line it would jump two lines each time.

The number of photos that he uses to fill the photo album will be 14.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Jack puts 2 photos on each of the 7 pages of his photo album.

Then the number of photos that he uses will be given by the multiplication of the numbers 2 and 7.

⇒ 2 x 7

⇒ 14

Thus, the number of photos that he uses will be 14.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

A jumbo size 90 ounces drink at a certain gas station has 890-calories. How many calories are there in a 14 ounce drink

Answers

Final answer:

To find the calories in a 14 ounce drink, we first determine the calorie content per ounce from a 90 ounce drink. We find it to be about 9.89 calories per ounce. Multiplying this by 14 gives us approximately 138.46 calories in a 14 ounce drink.

Explanation:

To find the calories in a 14 ounce drink, we need to first determine the calorie content per ounce in the 90-ounce drink. This is found by dividing the total calories (890) by the total ounces (90). The number we get from this division (calories per ounce) can then be multiplied by the ounces in the smaller drink (14) to get the number of calories in that drink.

First, divide 890 calories by 90 ounces to find the number of calories per ounce. 890 ÷ 90 = 9.89 calories/ounceNext, multiply this number by the number of ounces in the smaller drink. 9.89 * 14 = 138.46 calories.

Therefore, a 14 ounce drink from this gas station would have approximately 138.46 calories.

Learn more about Calorie Calculation here:

https://brainly.com/question/15503452

#SPJ11

Slove for x: -2.863.98 - 0.8y = -2.86

Answers

Answer:The answer is Zero:(0)

Step-by-step explanation:

Answer:

y=0.067825

Step-by-step explanation:

in the number 549.062 which number is in the 100th place

Answers

Answer:

5

Step-by-step explanation:

Answer: the answer is 6

Step-by-step explanation: the hundredth place is 2 spaces behind the decimal.

One teacher wants to give each students 5/9of a slice of pizza. If the teacher has 15 slices of pizza,then how many students will she be able to hand out pizza to?

Answers

Answer:

Step-by-step explanation:

10

Answer:

27

Step-by-step explanation:

To find the answer to this, you need to divide the 15 slices of pizza by 5/9. 15/(5/9) is 15*9/5 (multiply both the top and the bottom by 9 and you cancel out the 9 in the 5/9 fraction) and you get 135/5 = 27

What is the slope of a line that is perpendicular to y = 1/8x - 9?

Answers

Answer:

-8

Step-by-step explanation:

Perpendicular means negative reciprocal of the slope.

Negative reciprocal of 1/8 is -8.

Final answer:

The slope of a line that is perpendicular to y = 1/8x - 9 is -8. This is because perpendicular lines have slopes that are negative reciprocals of each other.

Explanation:

In Mathematics, particularly in algebra, the slope of a line is a measure of the steepness of the line. It's also a central part of the line's equation. In the equation you provided, y = 1/8x - 9, the slope of this line is 1/8.

The property of perpendicular lines is that their slopes are negative reciprocals of each other. The negative reciprocal of 1/8 is found by flipping the fraction to get 8/1 and changing the sign to get -8. Therefore, the slope of a line that is perpendicular to y = 1/8x - 9 is -8.

Learn more about Slope of Perpendicular Lines here:

https://brainly.com/question/35632758

#SPJ11

The city of Toronto’s population rose from 2,000,000 to 4,500,000 in the last twenty years of the twentieth

century. What was the annual average percentage increase in population for that period?

(a) 2.5% (b) 22.5% (c) 11.25% (d) 225% (e) none of these​

Answers

Answer:

E

Step-by-step explanation:

We will first find the percentage increase of 20 years. Then we will divide that by 20 to get the annual average percentage increase.

To get the percentage increase, we will find the increased amount and divide that by original population (2,000,000). Multiply that by 100 to get the percentage.

So,

Increased amount = 4,500,000 - 2,000,000 = 2,500,000

Now the percentage increase:

[tex]\frac{2,500,000}{2,000,000}*100=125[/tex]

So, in 20 years, the percentage increase is 125%

Per Year = 125/20 = 6.25% average per year

No correct answer in the answer choices from A through D, so E is the correct answer, None of These.

4x/2+11x-20=0

Solve for quadratic formula

Answers

Answer:

I think -4 and 1.25

Step-by-step explanation:

Joan has 3/4 yards of fabric. She needs 2/3 if that amount to make a small flag. How much fabric will she need in all?

Answers

Answer:

1/2 of a yard

Step-by-step explanation:

Here you have to find 2/3 of 3/4.

In this case "of" means multiplication.

2/3 × 3/4 = 2×3 / 3×4 = 6/12 = 1/2

Which equation is equivalent to 8x + 3 ( x +5) -5 (x-4) = 2

Answers

Final answer:

The detailed answer explains how to simplify and solve the expression 8x + 3(x + 5) - 5(x - 4) = 2 step by step.

Explanation:

To find the equation equivalent to 8x + 3(x + 5) - 5(x - 4) = 2, we need to expand and simplify the expression step by step:

Distribute the terms: 8x + 3x + 15 - 5x + 20 = 2Combine like terms: 6x + 35 = 2Isolate x: 6x = -33Solve for x: x = -33/6 or x = -11/2

A stack of cards contains 17 red cards and 9 black cards. What are the odds against drawing a red card?
A. 9:17
B. 17:9
C. 9:26
D. 17:26

Answers

To find the probability of choosing a red card we need to add both the cards so we have a total amount of cards.

17 + 9 = 26

Since, the question is asking the probability of choosing a RED card then the probability is a 17/26 chance. The answer choices are written as ratios. The ratio that is the same to 17/26 is [ D. 17:26 ]

Best of Luck!

help me solve this
4 — (x-2) (x+2)​

Answers

Using [tex](x-a)(x+a)=x^2-a^2[/tex] to obtain

[tex]4-(x^2-4)=4-x^2+4=8-x^2[/tex]

Hope this helps.

teddy brings snacks and ice cream while they wait for santa to arrive on christmas eve if the ice cream has 1250 calories for 5 servings what is the unit rate

Answers

Answer:

The unit rate is 250 calories per servings.

Step-by-step explanation:

Given:

The ice cream has 1250 calories for 5 servings.

Now, to find the unit rate.

So, by using unitary method:

If the 5 servings of ice cream has 1250 calories.

Then, to get the calories in 1 servings we divide number of calories by the number of servings:

= [tex]Number\ of\ calories \div number\ of\ servings[/tex]

[tex]=1250\ calories\div 5\ servings[/tex]

[tex]=250\ calories.[/tex]

Thus, in 1 servings there are 250 calories.

Therefore, the unit rate is 250 calories per servings.


Logan's e-reader sent a notification saying that he has completed 75% of the e-book.
Logan has read 180 pages and he wants to know the total number of pages in the e-book.

Answers

Answer:

The total number of pages in the e-book is 240.

Step-by-step explanation:

Given:

Logan has completed 75%

Logan has read 180 pages

To Find:

The total number of pages in the e-book= ?

Solution:

Let X be the total number of pages on the e-book

then

=> 75% of X = 180

Now lets find the value of X

X = [tex]\frac{180}{75\%}[/tex]

X = [tex]\frac{180}{\frac{75}{100}}[/tex]

X = [tex]\frac{180}{0.75}[/tex]

X = 240

The total number of pages in the e-book is 240.

To find the total number of pages in the e-book, we can set up a proportion based on the information given. Logan has read 75% of the e-book, which corresponds to 180 pages. We can represent this as:

 75% of total pages = 180 pages

To find the total number of pages, we can express the percentage as a fraction and solve for the total number of pages (let's denote this as P):

[tex]\(\frac{75}{100} \times P = 180\)[/tex]

Now, we can solve for P:

[tex]\(P = \frac{180 \times 100}{75}\)[/tex]

[tex]\(P = \frac{180}{0.75}\)[/tex]

[tex]\(P = 240\)[/tex]

Therefore, the total number of pages in the e-book is 240.

Correctly complete this sequence: 88511, 16351, ?, 10251

Answers

Answer:

73155 is the required 3rd number that will complete the sequence as: 88511, 16351, 73155 , 10251.

Step-by-step explanation:

So, let us consider 88511 and determine the pattern to find the next number and so on to complete the sequence.

Adding the first 2 digits in the number 88511 i.e.  8 + 8 = 16

Subtracting the 3rd digit from the 2nd digit i.e. 8 - 5 = 3

Multiplying the 3rd digit and 4th digit i.e. 5 × 1 = 5

Dividing the 4th digit by the 5th digit i.e. 1 ÷ 1 = 1

Hence, using these steps would get us the number 16351.

So, the next number would be obtained using same steps:

Adding the first 2 digits in the number 16351 i.e.  1 + 6 = 7

Subtracting the 3rd digit from the 2nd digit i.e. 6 - 3 = 3

Multiplying the 3rd digit and 4th digit i.e. 3 × 5 = 15

Dividing the 4th digit by the 5th digit i.e. 5 ÷ 1 = 5

Hence, using these steps would get us the number 73155.

So, the next number would be obtained using same steps:

Adding the first 2 digits in the number 73155 i.e.  7 + 3 = 10

Subtracting the 3rd digit from the 2nd digit i.e. 3 - 1 = 2

Multiplying the 3rd digit and 4th digit i.e. 1 × 5 = 5

Dividing the 4th digit by the 5th digit i.e. 5 ÷ 5 = 1

Hence, using these steps would get us the final number 10251.

So, from this pattern method, we determine that 73155 will be the 3rd number in the sequence: 88511,16351,?,10251.

So, the complete sequence would be: 88511, 16351, 73155, 10251.

Keywords: sequence, number

Learn more about sequence from brainly.com/question/12373616

#learnwithBrainly

Becky’s square living room needs new carpet. She needs about 200 square feet of carpet to cover the floor. What are the approximate dimensions of the room? Estimate using perfect squares to narrow your range. Show your work.

Answers

Area is length * width
Take the square root of 200 which is approximately 14.14
The answer is approximately 14.14

If g(f) the inverse of
) and fx) = 4x + 12 what is g(x)?
g(x) - 12x + 4
og(x) - x-12
g(x) = x-3
g(x) -
x-3
Save and Exit
Next
Su
Mark this and return

Answers

Answer:

[tex]g(x)=\frac{x}{4}-3[/tex]

Step-by-step explanation:

we have

[tex]f(x)=4x+12[/tex]

Find the inverse

Let

y=f(x)

[tex]y=4x+12[/tex]

Exchange the variables (x for y and y for x)

[tex]x=4y+12[/tex]

Isolate he variable y

subtract 12 both sides

[tex]4y=x-12[/tex]

divide by 4 both sides

[tex]y=\frac{x}{4}-3[/tex]

Let

g(x)=y

[tex]g(x)=\frac{x}{4}-3[/tex] ---> inverse of the function f(x)

The sum of the digits of a three-digit number is 16 .the tens digit is two more than the units digit and the unit digit is triple the hundreds digit .what is the number?

Answers

Answer:

286

Step-by-step explanation:

If the three-digit number is xyz, then:

x + y + z = 16

y = z + 2

z = 3x

Substitute the third equation into the second:

y = 3x + 2

Substitute this and the third equation into the first:

x + (3x + 2) + (3x) = 16

7x + 2 = 16

7x = 14

x = 2

y = 3x + 2 = 8

z = 3x = 6

The number is 286.

Final answer:

The three-digit number where the sum of its digits equal 16, the tens digit is two more than the unit's digit, and the unit's digit is triple the hundreds digit is 286.

Explanation:

The question involves finding a three-digit number where the sum of the digits is 16, the tens digit is two more than the unit's digit, and the unit's digit is triple the hundreds digit. Let's represent the hundreds digit as 'h,' the tens digit as 't', and the units digit as 'u'. According to the problem, we have three equations:

h + t + u = 16 (sum of the digits)t = u + 2 (tens is two more than units)u = 3h (units is triple hundreds)

Substituting the third equation into the first, we get h + (3h + 2) + 3h = 16, which simplifies to 7h + 2 = 16, leading to h = 2. Thus, u = 3h = 6, and t = u + 2 = 8. Therefore, the three-digit number is 286.

The difference between 2 times x and y is less than or equal to 1

Answers

Answer:

???

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 times x   -------> 2x

The difference between 2 times x and y is 2x - y

The difference between 2 times x and y is less than or equal to 1:

2x - y<= 1

PLEASE....I need help on this!

Answers

15,567 because yeah i know math

Charlie and his friend Jay went to the fair. They were having a sale and the admission was 25% off. The regular ticket price was $9.00 and the tax is 6%. What would Charlie’s total be?

Answers

Answer:

The total of Charlie's be $7.

Step-by-step explanation:

Given:

Charlie and his friend Jay went to the fair. They were having a sale and the admission was 25% off.

The regular ticket price was $9.00.

And the tax is 6%.

Now, to find Charlie’s total.

So ,we deduct the 25% off first:

[tex]\$9.00-25\%\ of\ \$9.00[/tex]

[tex]=9-\frac{25}{100} \times 9[/tex]

[tex]=9-\frac{225}{100}[/tex]

[tex]=9-2.25[/tex]

[tex]=\$6.75.[/tex]

Now, including tax :

[tex]\$6.75+6\%\ of\ \$6.75[/tex]

[tex]=6.75+\frac{6}{100} \times 6.75[/tex]

[tex]=6.75+0.06\times 6.75[/tex]

[tex]=6.75+0.405[/tex]

[tex]=\$7.155.[/tex]

Approximately = $7.

Therefore, the total of Charlie's be $7.

FIND THE DISTANCE....Brainlest and extra points.​

Answers

Answer:BC=11.77 mi

Step-by-step explanation:

cosα=5.71mi/AC

cos61°=5.71mi/AC

0.485=5.71mi/AC

AC=11.77mi

Answer:

BC=10.28

Step-by-step explanation:

Determine if the graphed function is linear or nonlinear.



Select from the drop-down menu to correctly complete the sentence.

The graphed function is _____________.

Answers

Answer:

non linear

Step-by-step explanation:

linear means a straight line graph. This type is quadratic since it has a parabola.

Answer:

The graphed function is nonlinear.

Step-by-step explanation:

When we talk about linear and nolinear funciton, we can distinguish them by using their graphs.

A linear function has a linear behaviour, that means it's representes by a straight line.

A nonlinear function doesn't have a straight line behaviour.

That's the easiest way to distinguish wether is a linear function or nonlinear.

Therefore, in this case, you can observe that the graph is not a straight line, that means the function is nonlinear.

A square on a coordinate plane has one vertex at ​(2.5​,33​) and a perimeter of 14 units. If all of the vertices are located in Quadrant​ I, what are the coordinates of the other 3​ vertices? Please show how you solved this in a step-by-step order.

Answers

Answer:

A(2.5,36.5)

D(6,36.5)

and

C(6,33)

Other Questions
what is the solution of the systrem 2x - y = -7 4x - y = -4 After beating Iowa, thousands of Gopher fans swarmed the field, climbing on the goalposts, yelling, screaming, and taking their clothes off. To social psychologists, this behavior of normally mild-mannered UM students is an example of __________, a loosening of self-restraints when anonymous in a large crowd. A vegetable garden and it's around a pasta shaped like a square that together are 12 ft wide. A path is 1 feet wide. If one bag of gravel covers 9 square feet, how many bags are needed to cover the path? Round your answers to the nearest tenth. Which of the following is NOT an example of a conflict of interest? Group of answer choices a. Advising two clients at the same time who are competing to acquire the same company when the advice might be relevant to the parties' competitive positions b. Accepting commissions in a financial planning engagement for a nonaudit client c. Advising a client to invest in a business in which, for example, the immediate family member of the CPA has a financial interest in the business d. Providing tax or personal financial planning services for several members of a family whom the CPA knows to have opposing interests Why does the Tropical Rain Forest contain an abundance of antibiotic compounds? A. The area is crowded, leading to random production of useful compounds B. The area is wet. plants had to develop resistance to fungi and bacterial infections C. There is a great diversity of plants, leading to random production of useful compounds Evaluate the extent to which religious ideas of the second great awakening shaped reform movements in the first half of the nineteenth century. A professor wants to randomly select 4 students to go to the board. She decides to randomly select the fourth student who enters the classroom and every ninth student after that. Determine the students who will be going to the board. Write down the student numbers. Long, thin, whip-like projections from the cell body of a prokaryote that aid in cell movement through the medium in which the organism lives; in animals, the only cell with this is the sperm cell.True / False. Dr. Robinson conducts research on the relationship between brain chemistry and intellectual functioning. Which psychological specialty does Dr. Robinson's research best represent? A) social psychology B) clinical psychology C) biological psychology D) industrial-organizational psychology At a fabrication plant, a hot metal forging has a mass of 67.2 kg and a specific heat capacity of 438 J/(kg C). To harden it, the forging is quenched by immersion in 786 kg of oil that has a temperature of 37.1 C and a specific heat capacity of 2950 J/(kg C). The final temperature of the oil and forging at thermal equilibrium is 58.3 C. Assuming that heat flows only between the forging and the oil, determine the initial temperature in degrees Celsius of the forging. Which of the following is a definition of the gold standard In 2019, Pine Corporation had losses of $20,000 from operations. It received $180,000 in dividends from a 25%-owned domestic corporation. Pines taxable income is $160,000 before the dividends-received deduction. What is the amount of Pines dividends-received deduction? When lines the bottom of her first pan with aluminum foil. The area of the rectangle piece of foil is 11 1/4 in.. Its length is 4 1/2 inches. What is the width of the foil which event was a direct result of the establishment of the progressive party in 1912 Audrey, an astronomer is searching for extra-solar planets using the technique of relativistic lensing. Though there are believed to be a very large number of planets that can be found this way, actually finding one takes time and luck; and finding one planet does not help at all with finding planets of other stars in the same part of the sky. Audrey is good at it, and finds one planet at a time, on average once every three months.a.) Find the expected value and standard deviation of the number of planets she will find in the next two years.b.) When she finds her sixth new planet, she will be eligible for a prize. Find the expected value and standard deviation of the amount of time until she is eligible for that prize.c.) Find the probability that she will become eligible for that prize within one year. Olivia found herself in over $10,000 worth of credit card debt after she graduated from college. Most of her purchases on her credit cards came from purchases at the mall which included clothing, shoes, and purses. She also used her credit cards to finance her vacation to Mexico during spring break. Overwhelmed by her high credit card balances, Olivia has decided she wants to start digging herself out of credit card debt. What is the first step she should take? Frank and Lillian Gilbreth developed the principle of ___________, which said that every job could be broken down into a series of elementary motions. A. motion economyB. marginal productivityC. division of laborD. micro-motion analysis Seth goes to the farmers' market every month to buy some of Ms. Wells's homemade jam. The jam costs $5 per jar. Last weekend, Ms. Wells gave a 20% discount for buying at least two flavors. So, Seth bought b jars of blackberry jam and s jars of strawberry jam.Pick all the expressions that represent how much Seth spent on jam last weekend. Increasing the federal tax on gasoline would cause shipping costs in the United States to increase:________ Describe how your leadership and service has made a positive difference in your school, inyour community, in your family and/or on the job, and how it will continue to make adifference in college and beyond. Steam Workshop Downloader