**Step-by-step explanation:**

if you put the whole number in calculator you will get

806350.307

so in word form is = eight hundred six thousand three hundred fifty and three hundred seven thousandths

17.

Last week, the price of apples at a grocery store was $1.60 per pound. This week, apple:

at the same grocery store are on sale at a 10% discount. What is the total price

1

of 4.

2

pounds of apples this

week at the grocery store?

A

$4.77

B

$6.48

$6.75

D

$6.93

**Answer:**

Totally It Would Be 6.48

write y=5/12x-1/2 in standard form

**Answer:**

1 - (5/6)x = 2y

**Step-by-step explanation:**

To write the equation y = 5/12x - 1/2 in standard form, we need to first get rid of the fractions by multiplying both sides of the equation by the least common denominator of the fractions, which in this case is 12. This gives us the equation 12y = 5x - 6. Next, we can rearrange the terms on the right-hand side of the equation to get 6 - 5x = 12y. Finally, we can divide both sides of the equation by 6 to get the equation in standard form, which is 1 - (5/6)x = 2y. The standard form of the equation is thus **1 - (5/6)x = 2y**.

**Answer:**

5/12x = y - 6

**Step-by-step explanation:**

To write the equation y = 5/12x - 1/2 in standard form, we need to first move all the terms that contain x to one side of the equation and all the constants to the other side. This will give us the equation 5/12x - y = -1/2. Next, we need to multiply both sides of the equation by the denominator of the fraction on the right-hand side to eliminate the fraction. This gives us 5/12x - y = -6. Finally, we need to add y to both sides of the equation to obtain the standard form of the equation, which is 5/12x = -6 + y. This can be written more concisely as 5/12x = y - 6. Therefore, the equation y = 5/12x - 1/2 can be written in standard form as 5/12x = y - 6.

What is the product of (-4)(16) (-7)

A-108

B -71

C 57

D 448

**Answer:**

D 448

multiply -4×16×-7

= 448

find the measure of m

**Answer:**

47*

**Step-by-step explanation:**

Each corner of the square is 90*

angle CBE + angle ABE = 90*

fill in the blanks

43 + x = 90

subtract 43 from both sides

x = 47*

Solve the equation I will leave a five star in a heart

**Answer: b is -17, the y -intercept**

**Step-by-step explanation:**

Do you mean question 7?

We can use the equation y = mx + b to model this, where b is the y intercept.

y = 9/15x - 17

y = mx + b ===> this means that -17 is b.

Consider the differential equation dy/dx = 1/3x(y-2)^2.

(a) A slope field for the given differential equation is shown below. Sketch the solution curve that passes through the point (0, 2), and sketch the solution curve that passes through the point (1, 0).

(b) Let y = f(x) be the particular solution to the given differential equation with initial condition f(1) = 0. Write an equation for the line tangent to the graph of y = f(x) at x = 1. Use your equation to approximate f(0.7).

(c) Find the particular solution y = f(x) to the given differential equation with initial condition f(1) = 0.

The **graph** is given below and the **value **of the **function **is -0.4 at x = 0.7.

Any **equation **with a variable difference in it is a **difference equation**. The following variables affect how different **equations **are categorized. • The **equation's **order. The highest order of difference in the **equation **is represented by the order.

y = Mt (x - 1) + 0

Where Mt = 1/3* 1(0-2)²

Mt = 1/3*4

Mt = 4/3

From equation 1

y = (4/3)(x - 1)

Function at x = 0.7

f(0.7) = 4/3(0.7 -1 )

= 4/3(-0.3)

F(0.7) = -2/5

Let, u = y - 2

du = dy

[tex]\int\limits {1/(y-2)^2} \, dy = \int\limits {x/3} \, dx \\\int\limits{du/ u^2} \, du = 1/3 \int\limits{x} \, dx[/tex]

-1/u = 1/3( x²/2) + c

-1/(y+2) = x²/6 + c

At point(1 , 0 )

c = 2/6

Thus

-1/(y-2) = x²/ 6 - 1/3

y = -6/(x² + 2) + 2

Therefore, **value **of the **function **is -0.4 at x = 0.7.and **function **at x = 1 is

y = -6/(x² + 2) + 2

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Jim has to choose between two gym membership plans. Plan A: $50 monthly membership fee and $10 per visit. Plan B: $25 one time membership fee and $15 per visit. How many visits must Jim make to make Plan A the cheaper option?

How many visits for them to cost the same?

**Answer:**

**Plan B is better than Plan A as B is cheaper than A.**

Since we have given that

Plan A consist of :

Amount for monthly membership fee = $50

Cost per visit = $10

Equation of total fees would be

Plan B consist of :

Amount for monthly one time membership fee = $25

Cost per visit = 15

Equation of total fees would be

Here , x denotes the number of visits.

Let us suppose x = 1

Then , fees for plan A would be

Fees for plan B would be

Hence, Plan B is better than Plan A as B is cheaper than A.

Mary, Keith, and David sent a total of 149 text messages over their cell phones during the weekend. Keith sent 4 times as many messages as David. David sent 5 fewer messages than Mary. How many messages did they each send?

The **messages** sent by each person will be:

David sent 24 message

**Keith** sent 96 messages

Mary sent 29 messages.

How many messages did they each send?Let **David** be represented as x.

Keith sent 4 times as many **messages** as David. This will be 4x.

David sent 5 fewer messages than Mary. Mary has x + 5.

The **equation** will be:

David + Keith + Mary = 149

x + 4x + x + 5 = 149

6x + 5 = 149

Collect like terms

6x = 149 - 5

6x = 144

**Divide**

x = 144 / 6

x = 24

David sent 24 message

**Keith** = 4x

= 4 × 24

= 96 messages

**Mary** = x + 5

= 24 + 5

= 29 messages.

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The members of the Rough Bikers Club pay per summer season, plus each time they rent a bike. Nonmembers must pay each time they rent a bike.

a) How many times would a member and a non-member have to rent a bike in order to pay the same amount?

b) How much is that same amount?

Members and non-members will pay the same when renting a bike

times.

They will pay $

. Do not write the dollar sign.

calculations are also used in statistical predictions of the likely election results, these calculations yield ranges of possibilities rather than precise results.

Given,

Member of the club paying for rental bike =

10

non-member of the club paying for rental bike = 15

Also for summer season member had given $100.

Bike taken by members = x

Bike taken by non-members = y

to pay same amount,

100+10x = 15y

1. let's take x=1

110=15y

y!= integer

x can't be 1

2. let's take x=2

120 = 15y

y = 8 i.e. an integer value

So, members will take bike on rent for 2

times and non-members for 8 times.

And the amount is 120.

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NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers. (Enter the value of probability in decimals. Round the answer to two decimal places.)

The **probability **of not selecting any of the correct six integers in a lottery is 0.18. This is calculated by subtracting the probability of selecting all the correct integers from 1, and the probability of selecting all the correct integers is the **product **of the probabilities of selecting each of the integers.

The **probability **of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers is 0.18. To calculate this probability, we must first find the probability of selecting all the correct integers. This is done by calculating the probability of selecting each of the integers **individually **and multiplying them together. For example, the probability of selecting 6 is 1/5, since there are five positive integers not exceeding 6. The probability of selecting 8 is 2/5, since there are five positive **integers **not exceeding 8 and two of them are 8. The probability of selecting 9 is 3/5, since there are five positive integers not **exceeding **9 and three of them are 9. The probability of selecting 10 is 4/5, since there are five not exceeding 10 and four of them are 10. The probability of selecting 11 is 5/5, since there are five positive integers not exceeding 11 and five of them are 11

Probability of selecting all the correct integer

= (1/5)*(2/5)*(3/5)*(4/5)*(5/5)

= 0.18

Probability of selecting none of the correct integers

= 1 - 0.18 = 0.18

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The complete question is

Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers. (Enter the value of probability in decimals. Round the answer to two decimal places.)Given: 6, 8, 9, 10, 11

A company is painting the exterior walls of a warehouse. find the lateral surface are of the walls in square feet if the walls are 100 ft., 200 ft, and 30 ft

The lateral surface **area** of the walls of the warehouse is **18,000 sq ft.**

**Area** is a measure of the **size** of a **surface** or the amount of **space** that a two-dimensional shape occupies. It is typically measured in square units, such as square feet or square meters. The area of a shape is calculated by multiplying the length and width of the shape together.

To find the lateral surface area of the walls of the warehouse, you need to find the combined area of all the exterior walls. To do this, you can use the formula for lateral surface area, which is:

Lateral Surface Area = 2 * (l * h + w * h)

where l is the length of the wall, w is the width of the wall, and h is the height of the wall.

Using this formula, we can find the lateral surface area of each wall and add them together to get the total lateral surface area:

Wall 1: Lateral Surface Area = 2 * (100 ft * 30 ft) = 6,000 sq ft

Wall 2: Lateral Surface Area = 2 * (200 ft * 30 ft) = 12,000 sq ft

Total Lateral Surface Area = 6,000 sq ft + 12,000 sq ft = 18,000 sq ft

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Calculate the standard deviation of the following set of numbers. Use the formula for the standard deviation (s) shown, where x represents the values, n is the number of values, and is the summation symbol, which indicates that you should add the values. S = mon-1) (* {x? - (Ex)}) values: Xı = 13,X2 = 16, x3 = 10 Do not round your answers. Step 1. Calculate the square of each data value. Step 2. Determine n times the sum of squares of the three values. 1 Step 3. Calculate the sum of the three values. Step 4. Calculate the square of the sum of the three values. ηΣ x2 = Step 3. Calculate the sum of the three values. Σx= Step 4. Calculate the square of the sum of the three values. Step 5. Calculate the variance. (n-1) (»« - (Ex)")= Step 6. Calculate the standard deviation. 1 nin – 1) (»Ex2 - (2 x)") =

The standard deviation is 3.

What is standard deviation?**Standard Deviation** is a measure which shows how much variation (such as spread, dispersion, spread,) from the **mean** exists. The standard deviation indicates a “typical” **deviation** from the mean. It is a popular measure of **variability** because it returns to the original units of measure of the **data** set.

Given, formula for the standard deviation

s = √[1/n(n-1)](n∑x²-(∑x)²)

values: x₁ = 13, x₂ = 16, x₃ = 10

step1: Calculate the square of each data value.

x₁² = 13² = 169

x₂² = 16² = 256

x₃²= 10² = 100

step2: Determine n times the sum of squares of the three values.

n∑x² = n(x₁²+x₂²+x₃²)

=3(169+256+100) = 1575

step3: Calculate the sum of the three values.

∑x = x₁+x₂+x₃

= 13+16+10 =39

step4: Calculate the square of the sum of the three values.

(∑x)² = 1521

step5: Calculate the **variance**.

[1/n(n-1)](n∑x²-(∑x)²)

=[1/3(3-1)](1575-1521)

=54/6

=9

step6: Calculate the standard deviation.

√[1/n(n-1)](n∑x²-(∑x)²)

= √9

=3

Hence, The standard deviation using the given formula for x₁=13, x₂=16 and x₃=10 is 3.

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Can anyone help please?

The **side** w of the **rectangle** is 2.5 cm.

The** triangle** and the **rectangle** have the same area.

Therefore,

**area** of a triangle = 1 / 2 bh

where

b = base of the triangleh = height of the triangleb = 5 cm

h = 6 cm

area of a triangle = 1 / 2 × 5 × 6

area of a triangle = 30 / 2

area of a triangle = 15 cm²

Therefore,

area of a rectangle = lw

where

l = lengthw = widthHence,

15 = 6w

w = 15 / 6

w = 5 / 2

w = 2.5 cm

Therefore, the side w is 2.5 cm.

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Elroy bought a $4210 custom video gam e/ virtual sound system on a special no-interest plan. He made

The amount of the **last payment** that Elroy will make is $710, which includes the $200 **monthly payment** and a balance of $510.

The **last payment** amount is the result of the **mathematical operations** of subtraction and multiplication.

The first **mathematical operation** was the subtraction of the **down payment** from the total cost of the video game system.

Using **multiplication**, the monthly payments are determined to be $3,400 for 17 months. This is **subtracted** from the remaining balance to obtain the **last payment** amount.

The cost of a custom video game/virtual sound system = $4,210

**Down payment** = $100

The remaining balance for monthly payment = $4,110 ($4,210 - $100)

Payment period = 18 months (1¹/₂ years)

Monthly payments = $200

Payment for the first 17 months = $3,400 (17 x 200)

**Last payment** = $710 ($4,110 - $3,400)

Thus, if Elroy makes the minimum **monthly payment** of $200 till the **last payment**, then he will pay $710 to settle the account.

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Question Completion:He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?

Original: 2.4

New: 0.8

**Answer:**

Divide by 3

**Step-by-step explanation:**

If you know your multiplication tables, you will know that 8·3 = 24. In reverse, that is 24 / 8 = 3. If you move the decimal point—the dot used for decimals always behind the last digit of a whole number—to the left or right, the answer will stay the same. This is why:

8 · 3 = 24, 80 · 3 = 240, 800 · 3 = 2,400, and so on.

Applying this but the decimal moving to the left results in:

0.8 · 3 = 2.4

I hope you understand!

(If you haven't already, learn your multiplication tables. Just some advice)

Suppose you took a large number of random samples of size n from a large population and calculated the mean of each sample. Then suppose you plotted the distribution of your sample means in a histogram. Now consider the following possible attributes of your collected data and the population from which they were sampled. For which of the following sets of attributes would you not expect your histogram of your sample means to follow a nearly normal distribution?

A) n = 10. The population distribution is unknown, but the distribution of data in each sample is heavily skewed.

B) n = 120. The population distribution is slightly skewed.

C) n = 20. The population distribution is nearly normal.

D) n = 120. The population distribution is unknown, but the distribution of data in each sample is slightly skewed.

No, because with a **sample size **of 10, the heavily skewed population distribution will not allow for a nearly **normal distribution** of sample means.

With a **sample size** of 10, the heavily skewed population distribution will not allow for a nearly normal distribution of sample means. This is because the sample size is too small and the skewed population distribution will not have enough data to accurately represent the overall population. With a sample size of 10, the sample means will be heavily influenced by outliers and **extreme values**, which will lead to a histogram that is skewed and not nearly normal. Therefore, no matter how slightly skewed the** population distribution** is, a sample size of 10 is not large enough to create a **normal distribution **of sample means.

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When the measure being made consists of judgments or ratings of multiple observers, the degree of agreement among observers can be established by using a statistical measure of _____.

A. concurrent validity

B. margin of error

C. interrater reliability

D. split-half reliability

The degree of agreement among observers can be established by using a **statistical measure** of Inter rater reliability (Option c is correct)**Interrater reliability** describes how closely two or more people agree.

Because everyone has used it, interrater reliability is the easiest type of reliability to **comprehend**. For instance, watching a judged event like dog shows or Olympic ice skating depends on human observers upholding a high level of **consistency** across observers.

Higher values of Kendall's **coefficient,** which ranges from 0 to 1, suggest more inter-rater reliability. Excellent values are greater than 0.9, and a value of 1 denotes perfect agreement. For the purpose of testing **hypotheses**, statistical software can compute **confidence ranges** and p-values.

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Naill was trying to find the value of

1+2+3+4+5......+2020

but forgot one number. His result was a multiple of 2015. Which number did he forgot?

**Answer:**

please set me in star

Everv goat has eaten a wolf: There is a wolf who has eaten every goat; Every goat is eaten by a wolf Some goat was eaten by wolf: Question 6 (1 point) Let A - { 1,2,3 and B = { 5,4,2,3 }. Select all that are true from below: A U B = {5,3,2,4] A 0 B = { 2 , 3 } A - B = { 1,3 } B - A = {4,5 }'

All of the statements are **true**.

Here is a breakdown of the** set operations:**

**A U B **(the union of A and B) is the set of all elements that belong to either A or B or both. In this case, the elements that belong to

**A ∩ B** (the intersection of A and B) is the set of all elements that belong to both A and B. In this case, the elements that belong to

**A - B** (the difference between A and B) is the set of all elements that belong to A but not to B. In this case, the elements that belong to

**B - A** (the difference between B and A) is the set of all elements that belong to B but not to A. In this case, the elements that belong to

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What is the common ratio of the geometric sequence?

Number graph ranging from zero to ten on the x axis and zero to twenty-eight on the y axis. Points are plotted on the graph at (one, eight), (two, twelve), (three, eighteen) and (four, twenty-six point five). The points form a general positive trend.

A **geometric** series is one in which there is a **constant **between two successive **numbers **in the series.

When there is a **constant **between the two **successive **numbers in the series then it is called a **geometric **series. In other words, every next term is **multiplied **by that constant term to form a geometric progression.

The **sequence **in which every next **number **is the addition of the constant quantity in the **series **is termed the **arithmetic **progression

Suppose the **series **is given as

2,4,8,16,32,64.........

The **common **difference is defined as the **ratio **of the next term to the previous term.

From the above **series**, the common ratio is **calculated **as,

Common ratio = 4 / 2

Common ratio = 2

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A rental car agency charges $15 per day plus 11 cents per mile to rent a certain car. Another agency charges $18 per day plus 8 cents per mile to rent the same car. How many miles will have to be driven for the cost of the car from the first agency to equal the cost of a car from the second agency?

If a **rental **car agency charges $15 per day plus 11 cents per mile to rent a certain car. The number of miles you have to be driven for the cost of the car from the first agency to equal the **cost **of a car from the second agency is 100 miles.

First step is to set the **equation **that will be used to find the number of miles

Equation

15+.11x=18+.08x

So,

Number of **miles**

15+.11x=18+.08x

Collect like terms

.03x=3

Divide both side by 0.03

x=3/.03

x =100 miles

Therefore we can conclude that the number of **miles **is 100 miles.

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At 2 p.m., two cars leave Eagle River, WI, one headed north and one headed south. If the car headed north averages 45 mph and the car headed south averages 40 mph, when will the cars be 170 miles apart?

The **time** at which the two cars will be 170 miles apart is; 1.619 hours

Let us write an **equation** for each car as;

d₁ = r₁*t₁ (**northbound**)

d₂ = r₂*t₂ (**southbound**)

They both start at the** same time**, and will stop them both when they are 170 miles apart. Thus;

t = d₁/r₁

t = d₂/r₂

Thus, the **equation** to find their times is;

d₁/r₁ = d₂/r₂

d₁ = d₂r₁ /r₂

Thus;

d₁ + d₂ = 170

d₁ = 170 - d₂

Similarly, r₁ = 45 mph and r₂ = 40 mph

170 - d₂ = d₂(45/60)

4(170 - d₂) =3d₂

7d₂ = 680

d₂ = 680/7

d₂ = 97.143 miles

d₁ = 170 - 97.143

d₁ = 72.857 miles

t₁ = d₁/r₁ = 72.857/45 = 1.619 hours

This represents the **time** that they will be 170 miles apart

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i literally don’t know

**Answer:**

Reason 5.

All right angles are congruent.

Reason 6.

ASA

(You have 2 angles and the included side of the two triangles, so by ASA (angle-side-angle) the triangles are congruent.)

Suppose that a random sample of 41 state college students is asked to measure the length of their right foot in centimeters. A 95% confidence interval constructed using the data is (21.709, 25.091). Which is a correct interpretation for the confidence interval?

a. 95% of the time the sample mean foot length is between (21.709, 25.091).

b. 95% of the foot lengths are between (21.709, 25.091).

c. 95% of the time the population mean foot length is between (21.709, 25.091)

d. All of the above.

e. None of the above.

The **correct** interpretation for the **confidence interval** for the given random sample of 41 state college students is **option e** (i.e. none of the above).

**What is Confidence Interval ?**

Confidence interval gives a **range** of estimated value of population parameter. The **value** that does not lie within the confidence interval tend to not represent the population parameter whereas , if the value lie inside the confidence interval it represent the **population** parameter with a certain confidence level.

**What are random samples ?**

A simple random sample is a randomly selected **subset** of a population. In this **sampling method**, each member of the population has an exactly equal chance of being selected, minimising the risk of selection bias.

According to the question , A 95% confidence interval constructed using the data is (21.709, 25.091)

95 % confidence interval is (21.709, 25.091).

Sample size is 41 state college students

Hence , The correct **option **is** E** as the confidence interval tend to reflect the population parameter. And also it show that there is certain confidence level that population parameter will lie within the **confidence interval**. Suppose we take out 100 sample at random that 95% of this will have population foot length mean between 21.709 and 25.091.

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It is a popular misconception that nuclear fusion power is free of radioactivity; in fact, the deuterium-tritium reaction that nuclear scientists are currently exploring with such zeal produces both alpha particles and neutrons. (The neutrons are used to produce tritium from a lithium blanket surrounding the reactor.) Another common misconception is that nuclear fusion power is a virtually unlimited source of energy because of the enormous quantity of deuterium in the sea. Actually, its limits are set by the amount of available lithium, which is about as plentiful as uranium in the Earth's crust. Research should certainly continue on controlled nuclear fusion, but no energy program should be premised on its existence until it has proven practical. For the immediate future, we must continue to use hydroelectric power, nuclear fission, and fossil fuels to meet our energy needs. The energy sources already in major use arc in major use for good reason.

The primary purpose of the passage is to caution against uncritical embrace of nuclear fusion **power **as a major energy source.

Nuclear fission generates a significant amount of radioactive waste, which can be hazardous and needs to be stored securely for a long period of time. Nuclear fusion waste has a lower radioactivity and decays significantly more quickly. **Fossil fuels** like gas and oil are not required for nuclear fusion.

Radiation that is released voluntarily is referred to as radioactivity. An atomic nucleus that is unstable for some reason accomplishes this by "wanting" to give up some energy in order to change its configuration to one that is more stable.

The passage begins by classifying as misconceptions favorable views about nuclear fusion power and finishes by recommending the use of current energy sources going forward rather than nuclear fusion power. All of this adds up to the text trying to warn against uncritically embracing nuclear fusion power as a major source of energy.

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Find the gradient of the curve

y = 5x − 10/x^2

at the point where the curve crosses the x-axis

The** gradient of a line** is computed by dividing the difference between the -coordinates by the difference between the -coordinates.

The Complete Question gradient of a line.

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Suppose line g is the line with the equation y = x. Given A(7, -3), B(7, 3), and C(-1, -7), what are the coordinates of the vertices of ΔA’B’C’ for the reflection?

**Answer:**

Below in** bold.**

**Step-by-step explanation:**

A reflection in the line y = x is described as;

(x, y) ---> (y, x)

So,** A' = (-3, 7)**

**B' = (3, 7)**

**C' = (-7, -1).**

In the article "Foods, Fortificants, and Supplements: Where Do Americans Get Their Nutrients?" researchers analyze the nutrient and vitamin intake from a random sample of 16,110 U.S. residents. Researchers compare the level of daily vitamin intake for vitamin A, vitamin B-6, vitamin B-12, vitamin C, vitamin D, vitamin E and calcium. Unless otherwise stated, all hypothesis tests in the study are conducted at the 5% significance level.

Researchers conduct a hypothesis test to determine if the proportion of U.S. residents consuming recommended levels of calcium is different among women and men. The p-value is 0.035, and researchers conduct this test at a 5% level of significance. What does a p-value of 0.035 mean?

There is a 3.5% chance that there is no difference in calcium consumption for women and men.

If the calcium consumption rates are different for the women and men, there is a 3.5% chance that future experiments will show the same difference in calcium consumption as observed in this experiment.

If calcium consumption is the same for women and men, there is a 3.5% chance that future studies will show differences in calcium consumption greater than observed in this study.

If calcium consumption is the same for women and men, there is a 3.5% chance that calcium consumption will be different in future experiments.

There is sufficient evidence from the hypothesis test, with a** p-value **of 0.035 < 0.05, to say that men and women in the United States consume different amounts of calcium.

The evidence for the null and alternative hypotheses, which are two competing statements, are compared using a** statistical test**. Null hypothesis or population impact does not exist (H0). An alternate hypothesis, or** population** effect, exists (Ha or H1).

Here,

The proportion between men and women is examined at the null hypothesis as follows:

[tex]H_{0}[/tex] : u1 - u2= 0

If the proportions are different under the alternative hypothesis, then:

[tex]H_{A}[/tex] : u1 - u2 ≠ 0

There is adequate data to determine that men and women in the United States consume different percentages of the necessary calcium levels because the p-value is 0.035 0.05.

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What’s 9.1k in numbers?

**Answer:**

9,100

**Step-by-step explanation:**

"9.1k" is a shortened notation for 9,100, where "k" stands for "**kilo**," which means **thousand**.

A number system is defined as a way to represent **numbers** on the **number** **line** using a set of symbols and approaches. These symbols, which are known as **digits**, are numbered 0 through 9.

The "k" stands for "**kilo**," which means **thousand**. Therefore, when you see a number followed by "k," you can assume that the actual number is 1,000 times **greater** **than** what is shown.

In this case, "9.1k" means 9.1 times 1,000, which equals 9,100.

This notation is often used in **contexts** where brevity is important, such as in social media posts or online comments, where **character** limits may apply.

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What is the slope of the line that contains these points?

x 12 13 14 15

y -4, 2 8 14

The slope of the **line** is 6.

**What is a point on a line?**

In geometry, a point is a place. It is completely empty, meaning it has no **width**, **length**, or **depth**. A dot indicates a point. A line is described as a collection of points that stretches in both directions indefinitely.

Given table is

x 12 13 14 15

y -4 2 8 14

The **points** on the lines are (12,-4), (13,2), (14,8), (15,14).

The **formula** of slope of a line that passes through the points (x₁, y₁) and (x₂, y₂) is (y₂ - y₁)/(x₂ - x₁).

Now consider two points (12,-4), (13,2) to find the slope:

m = (2 - (-4))/(13 - 12)

m = (2 + 4)/1

m = 6/1

m = 6

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