WHY is -2 3 8l9 1,476 -6.01 all rational numbers . have a separate explanation for each number

Answers

Answer 1

There really doesn't need to be a separate explanation for each number because 1 explanation would explain everyone of them.

All of these numbers are rational because a rational number is, or can be, turned into a fraction.

-2 = -2/1
3 = 3/1
819 = 819/1
1,476 = 1,476/1
-6.01 = -6 1/100 = -601/100

Related Questions

The water level at Lake Penny changed −1 1/10 in. this year. Next year, it is predicted to change another −1 2/5 in. What is the total change that will likely occur in 2 years? Enter your answer as a simplified mixed number in the box. 20 POINTS

Answers

add 1 1/10 + 1 2/5

first get both fractions with the same bottom number: 2/5 = 4/10 ( multiply both numbers by 2)

so now you have 1 1/10 + 1 4/10 = 2 5/10

5/10 reduces to 1/2

so answer is 2 1/2 inches, and since the level is going down it would be negative 2 1/2 inches

Answer:

-2 1/2 inches is your answer

what is 4x-9=k solve for the x

Answers

solve for x by simplifying both sides of the equation than isolating the variable

x=9/4 + k/4

hope this helps and please rate below :)

Hey Johna!

4x - 9 = k
Add 9 to both sides
4x - 9 + 9 = k + 9
4x = k + 9
Divide both sides by 4
4x/4 = (k + 9)/4
x = (k + 9)/4

Good luck!

List the descriptors used to interpret a scatterplot and provide a brief explanation for each

Answers

The descriptors used to interpret a scatterplot are strength, association and trends. The strength determines how closely the dots fall to the line, the association is the general direction in which the dots fall, and the trend or shape lets one know if the graph is linear or non-linear.

Stan, a local delivery driver is paid $3.50 per mile driven plus a daily amount of $75. On Monday he is assigned a route that is 30 miles longer. How much is he being paid for that day? Independent and dependent variables?

Answers

3.50m+75 for the 30 miles, he is being paid 105 plus the daily amount of 75 which equals to 180$.

ASAP PLEASE ANSWER

Given △ABC≅△JKL, m∠B=55°, and m∠L=25°, what is the measure of ∠J? Enter your answer in the box. °

Answers

It shall be <J = 100!

Answer: [tex]\angle{J}=100^{\circ}[/tex]

Step-by-step explanation:

Given: △ABC≅△JKL,

m∠B=55°, and m∠L=25°

We know that if two triangles are congruent then their corresponding angles are equal.

∴ m∠A=m∠J

m∠B=m∠K=55°

m∠C=m∠L=25°

Now, by angle sum property in triangle JKL we have

[tex]\angle{J}+\angle{K}+\angle{L}=180^{\circ}\\\\\Rightarrow\angle{J}+55^{\circ}+25^{\circ}=180^{\circ}\\\\\Rightarrow\angle{J}=180^{\circ}-55^{\circ}-25^{\circ}\\\\\Rightarrow\angle{J}=100^{\circ}[/tex]

angle of elevation and depression worksheet

Answers

The angle of depression is the angle in which is looking down , so in this case it’s the angle from the top of the flag pole to the gold ball. Then you write in you opposite and hypotenuse and adjacent then write out your equation plug in. Then type your final answer in the calculator and you should get your answer .

Joe decides to take his six year old son to the planetarium the price for the child’s ticket it’s $5.75 less than the price for the adult ticket if you represent the price for the child’s ticket using the variable X how would you write the algebraic expression for the adult ticket price

Answers

Child's ticket x=y-5.75
Adult would be found by solving for y.
x=y-5.75
5.75+x=y-5.75+5.75
5.75+x=y

Y=x+5.75

answer: Y=x+5.75hope this helps:D

plz give bainiest

How would you convert 9 km/hour to feet/minute? Oh, and please show the steps you took to get there. Thank you. (This is worth extra points btw)

Answers

keeping in mind that

there are 1.609 kms in 1 mile

5280 feet in 1 mile

and 60 minutes in 1 hr.

[tex]\bf \cfrac{9~\underline{km}}{\underline{hr}}\cdot \cfrac{\underline{mile}}{1.609~\underline{km}}\cdot \cfrac{5280~ft}{\underline{mile}}\cdot \cfrac{\underline{hr}}{60~mins}\implies \cfrac{9\cdot 5280~ft}{1.609\cdot 60~mins} \\\\\\ \cfrac{47520~ft}{96.54~mins}\approx 492.2311995\frac{ft}{min}[/tex]

A line passes through the point (3,2) and (6,2) a write an equation for the line in point-slope form rewrite the equation in standard form usung integers

Answers

(3, –2) and (6, 2)First, we must establish slope...m=(y-y1)/(x-x1)m=(-2-2)/(3-6)m=-4/-3m=4/3Point slope formula is...y-y1=m(x-x1)Let's select either coordinate. I randomly select the first (3, –2)...y--2=4/3(x-3)Subtracting a negative number is the same as adding a positive number...y+2=4/3(x-3)This corresponds to the first answer.Standard form...Ax+By=Cy+2=(4/3)x-4y=(4/3)x-6-(4/3)x+y=-6Multiply both sides by 3...-4x+3y=-18This also corresponds to the first answer. How about the second coordinate, (6, 2)...y-y1=m(x-x1)y-2=(4/3)(x-6)Let's convert it into standard form..y-2=(4/3)x-8y=(4/3)x-6-(4/3)x+y=-6Multiply both sides by 3...-4x+3y=-18

PLEASE HELP!!!!! How does “rationalizing the denominator” use the form of 1?

Answers

"Rationalizing the denominator" of a number is exactly what its title implies: turning its denominator into a rational number.

For an example, let's take the fraction 1/√2. We call √2 irrational because it cannot be expressed as a ratio of two integers. Oftentimes when we have irrational numbers like √2 in the denominator, it helps to perform a little bit of algebraic manipulation on them to make the denominator rational. Here's where that "form of 1" comes in. Remember that, as a rational number, 1 can be expressed as n/n, where n is any number. We can use this fact to rationalize the denominator of 1/√2 by multiplying it by √2/√2, which is equivalent to 1.

When we multiply the two together, we get:

[tex] \frac{1}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}= \frac{\sqrt{2}}{(\sqrt{2})^2}= \frac{\sqrt{2}}{2} [/tex]

Crucially, multiplying by 1 in the form of √2/√2 keeps the fraction's value the same, since 1 times any number just equals that same number. If we weren't multiplying but some form of 1, we'd change the number entirely, making the whole attempt at rationalizing the denominator pointless.

butch, harry, and nicky are playing a game. Harry has half as many points is butch. Nicky has 5 fewer points than Harry. Together, the three players have 31 points. How many points does Harry have?

Answers

Harry has 9 points. First, make some expressions to show what you know. I'll use the variables b, h, and n to represent the number of points each player has h = b/2 n = h - 5 b + h + n = 31 Substitute h - 5 for n in the 3rd expression b + h + h - 5 = 31 Now substitute b/2 for the h's in that expression b + b/2 + b/2 - 5 = 31 Now solve for b, first add the b terms together 2b - 5 = 31 Add 5 to both sides 2b = 36 Divide both sides by 2 b = 18 We now know that Butch has 18 points, so plug that value into the formula for Harry's points h = b/2 h = 18 / 2 h = 9 And we now know that Harry has 9 points.

What is m∠SVT?

Enter your answer in the box.

Answers

8y - 33 = 5y + 9
8y - 5y = 33 + 9
3y = 42
y= 14

m∠SVT = 5y + 9
m∠SVT = 5(14) + 9
m∠SVT = 70 + 9
m∠SVT = 79

answer
79

Normally I am not one to make long answers

but if you want an explanation in case you have the same question with different numers, here is an explanation

Plug in the eequation and solve for x

Doing quick math the equation would be 8y-33 = 5y+9

I plugged this into m a t h w a y and got y=14

Then I subsituted y with 14

5 x 14 = 70 70 + 9 =79

Then I did a double check by making sure they were both equal

8 x 14 = 112 112 - 33 = 79

79 = 79

Therefore your answer is 79

Hope this helped, have a great day :)

A sample value that lies very far away from the majority of the other sample values is _____.

Answers

The answer to the missing word on the statement in this problem is an outlier.An outlier is a value that lies outside most of the other values in a set of data. It also means it is much smaller or larger than most of the values in a set.For example, in this given score set {24,29,2,32,88,33,26,28}. The scores 2 and 88 are outliers.

Answer:

It would be an outlier

Step-by-step explanation:

How do I write this as a single rational expression?

[tex] \frac{1}{p-2} - \frac{1}{p+2} [/tex]

Answers

[tex]\bf \textit{difference of squares} \\ \quad \\ (a-b)(a+b) = a^2-b^2\qquad \qquad a^2-b^2 = (a-b)(a+b)\\\\ -------------------------------\\\\ \cfrac{1}{p-2}-\cfrac{1}{p+2}\impliedby \textit{so let's use the }\stackrel{LCD}{(p-2)(p+2)} \\\\\\ \cfrac{(p+2)~~-~~(p-2)}{(p-2)(p+2)}\implies \cfrac{\underline{p}+2~~\underline{-p}+2}{(p-2)(p+2)}\implies \cfrac{4}{p^2-2^2}\implies \cfrac{4}{p^2-4}[/tex]

Mike bought 4 new baseball trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 42 cards left. how many cards did mike start with

Answers

(4 + x) / 2 = 42
(2) (2)

4 + x = 84
-4 -4

x = 80

Mike started with 80 cards

Hope I helped :)

A private plane leaves the airport and flies 1.3 hours at 110 mph on a bearing if 40 degrees. Then it turns and continues another 1.5 hours at the same speed, but in a bearing if 130 degrees. Through what angle did the plane have to turn to head back to the airport?

Answers

Refer to the diagram shown below.

The first distance traveled is
a = (110 mi/h)*(1.3 h) = 143 mi
The second distance traveled is
b = (110 mi/h)*(1.5 h) = 165 mi

From geometry,
x = 40°
y = 180° - 130° = 50°
x + y = 40° + 50° = 90°
Therefore we have a right triangle.

By definition
tan θ = 165/143 = 1.1538
θ = tan⁻¹ 1.1538 ≈ 49°
Because the sum of angles in a triangle is 180°, therefore
z = 180° - (49° +90°) = 41°

The angle through which the plane has to turn to head back to the airport is
φ = 360° - (y + z)
= 360° - (50° + 41)°
= 269°

Answer: 269°

Heading = 269.09 degrees. Plane will turn through an arc of 139.09 degrees. First, lets calculate the length of the 2 legs we know of. Leg1 = 1.3 * 110 = 143 miles. Leg2 = 1.5 * 110 = 165 miles. These distances are short enough that we can ignore the curvature of the earth and stick with euclidean geometry. Let's convert the polar coordinate of (40, 143) to Cartesian. (143sin(40), 143cos(40)) = (91.92, 109.54) So we know the plane flew 109.54 miles to the north, and 91.92 miles east. Lets see about the second leg. (165sin(130), 165cos(130)) = (126.40, -106.06) So the plane then traveled 126.40 miles to the east, and 106.06 miles to the south. Adding those distances together gives (91.92 + 126.40, 109.54 - 106.06) = (218.32, 3.48) So the plane is now 218.32 miles to the east and 3.48 miles to the north of where it originally started. Let's calculate the angle needed to return by first calculating the tangent. 3.48 / 218.32 = 0.01594 atan(0.01594) = 0.91 degrees. Since the plane will have to be going almost due west, that means that the heading will be close to 270 degrees. And since it also needs to go slightly south, we'll subtract the 0.91 degrees from the 270 to get a heading of 269.09 degrees. In order to get to that new heading from it's current heading of 130 degrees, we simply subtract. So 269.09 - 130 = 139.09 degrees

Fernando is starting at new sales job and needs to decide which of two salary plans to choose from for Plan A he will earn $100 a week plus 15% Commission on all sales for Plan B he will earn 150 week plus 10% Commission on all sales

Answers

The expression for each salary plan if s is Fernando's total weekly sales, would be:

Expression A: S= 100+ 100(0.15y) y=Commission
Expression B: S= 150+ 150(0.10y)

What amount of weekly sales us plan B better than plan A, the answer would be:Plug in the numbers for Y and use the outcomes as the sales stay to increase. For example, start with 5 sales, then go to 10 then 15, and so on and so forth.

Let's say we have a circle with a radius of 17 inches. What is the circumference of this circle in inches? Round your answer to the hundredths place.
54.78
86.23
91.1
106.81

Answers

The answer is 108.81 using the formula 2(pi)(r)

The perimeter of a rectuangler pool is 130 ft. the width is 4 times the length. find the length and width of the pool

Answers

The width is 52ft and the Length is 13ft.

Triangle STU has been reflected over line m to form triangle S'T'U'. what is the value of y

Answers

Where is y? Is there a figure?

Find the total amount in the compound interest account.
$1740 is compounded daily at a rate of 12% for 5 years. Let 1 yearequals=365 days.

=$

Answers

[tex]\bf \qquad \textit{Compounding Continuously Earned Amount}\\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$1740\\ r=rate\to 12\%\to \frac{12}{100}\to &0.12\\ t=years\to &5 \end{cases} \\\\\\ A=1740\cdot e^{0.12\cdot 5}[/tex]

bear in mind that the continuously compounding interest is just that, a daily compounding cycle, taking a year as 365days.

mnmn if m=8m=8 and n=3n=3.

Answers

Answer: 8x8x8=512

Step-by-step explanation:

If two angles share a vertex then they are adjacent true or false

Answers

true i think hope this helps

The given statement is true"If two angles share a vertex then they are adjacent".

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

If two angles in geometry share a side and a vertex, they are said to be adjacent. In other words, consecutive angles do not overlap and are placed side by side.

When an angle's vertex and side are shared by another angle, the two angles are said to be adjacent angles. The vertex of an angle is the point where the rays come to a stop and form the sides of the angle. When two adjacent angles share a vertex and a side, they can be either complementary or supplementary angles.

Thus, the given statement is true"If two angles share a vertex then they are adjacent".

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

The office manager ordered145 packs of printer paper. Based on average daily use, she knows that the paper will last 65 days. What graph represents this situation? How many packs of printer paper should the manager expect to have after 25 days?

Answers

The first or third graph represents the situation
After 25 days he would expect to have , i would say 88 packs left
I cant make out the bottom figure below third graph

Evaluate the expression (ab)2 for a = 4 and b = 3.

a.81
b.36
c.24
d.144

Answers

The answer is 24.
(ab)2 = (4x3)x2 = 12x2 = 24

is the line through points P(1,9) and Q(9,6) perpendicular to the line through points R(-6,0) and S(-9,8)? Explain?

Answers

Final answer:

To determine if two lines are perpendicular, we can calculate their slopes. The line through P(1,9) and Q(9,6) has a slope of -3/8, and the line through R(-6,0) and S(-9,8) has a slope of -8/3. The product of these slopes is -1, indicating that the lines are perpendicular.

Explanation:

To determine whether the line through points P(1,9) and Q(9,6) is perpendicular to the line through points R(-6,0) and S(-9,8), we can calculate the slope of each line. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula: slope = (y2 - y1) / (x2 - x1).

For the line through P(1,9) and Q(9,6), the slope is (6 - 9) / (9 - 1) = -3/8.

For the line through R(-6,0) and S(-9,8), the slope is (8 - 0) / (-9 - (-6)) = 8/-3 = -8/3.

If the two lines are perpendicular, the product of their slopes should be -1. Let's check: (-3/8) * (-8/3) = 1. Therefore, the line through points P(1,9) and Q(9,6) is perpendicular to the line through points R(-6,0) and S(-9,8).

A movie theater sells student tickets for $5 and adult tickets for $10. On Saturday night, 2,500 people go to the theater and ticket sales total $18,000. How many adults and children went to the theater on Saturday night? Which solution is reasonable? A) 2000 students and 1000 adults B) 1100 adults and 1400 students C) 3000 students and 0 adults D) 500 students and 1500 adults

Answers

The problem says that 2500 people went, out of all the answers choices which choice gives you the total of 2500 when you add the adults and children.

Answer is B because 1100 + 1400 = 2500

The reasonable solution is B) 1100 adults and 1400 students, as it satisfies both attendance and revenue criteria.

Consider a movie theater that sells student tickets for $5 and adult tickets for $10. On a Saturday night, 2,500 people attended the theater, and the total ticket sales amounted to $18,000. The goal is to determine the number of adults and students who attended, with multiple choices provided:

We can set up two equations to represent the information:

The total number of people who attended: S + A = 2500

The total ticket sales amount: 5S + 10A = 18000

Solving this system of equations gives the correct solution:

B) 1100 adults and 1400 students.

This solution satisfies both equations (S + A = 2500 and 5S + 10A = 18000). It is reasonable as it accounts for both students and adults attending, and the total revenue aligns with the given information. The number of students (1400) and adults (1100) adds up to the total attendance of 2500.

All the Factor of 40

Answers

The factors of 40 are:
1,2,4,5,7,10,20,40

The factors of 40 are whole numbers that divide 40 without a remainder, including 1, 2, 4, 5, 8, 10, 20, and 40.

To find all the factors of 40, you need to identify all the whole numbers that can divide 40 without leaving a remainder. The factors of 40 are numbers that multiply together to give the product of 40. Here's how we can find them:

List the number 1 and the number itself (which is 40) because 1 and 40 are always factors of 40.Try dividing 40 by whole numbers starting from 2 onwards.If the division does not leave a remainder, then the divisor is a factor of 40.Repeat this process with increasing numbers until you reach the square root of 40

Therefore, the factors of 40 are: 1, 2, 4, 5, 8, 10, 20, and 40.

The declaration opens with a rational statement of its purpose. in a document with such radical intent, its is not surprising that supporting details often use emotionally laden language.Find at least 5 details in the document that use loaded words to cite factual support . What emotions are revealed in the use of charged language ?

Answers

The Declaration of independence is full of loaded language. It invokes the will of god to support its cause and talks of the power of man and nature. It uses words that conjure visual thoughts, such as dissolving the political bands that held the two nations together. With this language you can visualize these tethers being dissolved. It speaks of equality and drums up feelings of self and National pride.

Final answer:

The document uses emotionally loaded language to support its claims. This creates a strong emotional impact on readers and helps persuade them.

Explanation:

When analyzing a document, it is important to pay attention to emotionally loaded language used as factual support. Here are five details in the document that use loaded words:

Quoting from interviews with government workers and bystanders who were hiding behind locked doors and had no police protection, appealing to the emotion of fear.Recreating images with vivid descriptions and concrete language of lone officers overwhelmed by crowds of people and beaten, appealing to the emotions of fear and empathy.Using nonaggressive language to address opposing views, showing empathy and attempting to convince others to support the author's position.Adhering to descriptive diction and employing sensory detail, creating a rhetorical effect.Refuting counterclaims and appealing to readers' logic and emotions, demonstrating fairness and advanced skill at persuasion.

The use of emotionally charged language reveals the emotions of fear, empathy, conviction, and persuasion in the document.

Jared needs 2.4 micrograms of vitamin B-12 each day. Today, Jared drank a serving of milk containing 0.44 micrograms of B-12 and ate a lamb chop containing 1.224 micrograms of B-12. Which method can Jared use to find the number of micrograms of vitamin B-12 he still needs?

Answers

Subtract 2.4 – 0.44 = 1.96, then subtract 1.96 – 1.224.

Answer:

the answer is d

Step-by-step explanation:

Other Questions

PLEASE HELP!!! EMERGENCY!Which characteristic of four different dinosaur fossils makes a dinosaur most similar to the present-day birds?A- Flexible WristB- Flapping abilityC- Flight FeathersD- Primitive Feathers the table shows the low temperature in five cities on a winter day. which statement is true A. it is warmer in Tacoma than in Roseville B. it is colder in Roseville Than in Helena C. It is warmer in Helena than in Fargo D. it is colder in Tacoma than in Great Falls Q 6.6: niles industries is a merchandising company. it currently holds $6,000 in consignment goods for martin corporation. in addition, it has $4,000 in fob shipping point goods in transit to delta enterprises and $5,000 in fob destination goods in transit to troy manufacturing. finally, niles has $7,000 in fob destination goods in transit from gregg supply. for which group of goods does niles hold the title? What is the length of a segment in the complex plane with endpoints at 4 + 2i and 7 2i? If a theory is an idea then something theoretical is A) true B) likelyC)unprovenD)unbelievable The domain for f(x) and g(x) is the set of all real numbers. let f(x) = 3x + 5 and g(x) = x2. find g(x) f(x). x2 3x 5 3x3 5x2 3x2 5 x3 5 completing a large job requires teamwork and BLANK and blank. what fits? production 2. solution 3. operation 4. division 5. protection 6. organization (1) Originally from Japan, kudzu is a vining plant first planted in the United States in the nineteenth century by southern farmers looking for a fast-growing plant that cattle and other livestock could graze. Kudzu hay has a high nutritional content compared to other types of forage. Unfortunately, thenutritional quality decreases as vine content increases relative to the leaf content. Unlike alfalfa hay, which grows like a grass, kudzu is hard to bale due to its vining growth and tendency to absorb rain.(2) The climate of the Southeastern U.S. is perfect for growing kudzu. The vines grow as much as a foot a day during summer months, climbing trees, power poles, and anything else they contact. Under ideal conditions kudzu vines can grow 60 feet each year. Southerners joke that if you dont close your windows at night, itll climb inside the house. In Japan, kudzu is kept in check by insects, but it has no natural enemies in the U.S.(3) While they help prevent erosion, the vines can also destroy valuable forests by climbing trees and preventing them from getting sunlight. This problem has led researchers to find methods for killing kudzu. After years of research, they found that one herbicide actually makes kudzu grow better while many have little effect. Even with the most effective herbicides, it takes many years to kill the plants.(4) Today, kudzu covers more than seven million acres of Georgia, Alabama, and South Carolina.QUESTION 1. Which of the following can the reader infer from the passage above?Question 3 options:A) Closing your windows keeps kudzo from growing.B) Farmers like kudzu because it grows so fast.C) The fact that kudzu grows so fast is a problem.D) Kudzu vines and leaves are ideal livestock feed.QUESTION 2:What can the reader infer from paragraph 3?Question 4 options:A) Finding a solution to kudzu took a long time.B) Kudzu is a hardy plant that is difficult to kill.C) Erosion is a big problem in southern forests.D) American researchers are not very efficient.QUESTION 3.Which evidence phrase below best supports the inference from paragraph 3?Question 5 options:A) led researchers to find methods for killing kudzuB) one herbicide actually makes kudzu grow betterC) it takes many years to kill the plantsD) they help prevent erosion Before the federal government settled into its permanent home in washington,d.c., the nation's capital had most recently been moved from create a list of best practices to help patients avoid unexpected cost die to balance billing. Explain why it is necessary to understand the time value of money. give some examples of how you would use the concept in your business or personal life The importance of Greek philosophy was not that its conclusions were always correct, but that for the first time it was based onforceastronomyhard workreason Abuelito Who Abuelito who throws coins like rain and asks who loves him who is dough and feathers who is a watch and glass of water whose hair is made of fur is too sad to come downstairs today who tells me in Spanish you are my diamond who tells me in English you are my sky whose little eyes are string can't come out to play sleeps in his little room all night and day who used to laugh and like the letter k is sick is a doorknob tied to a sour stick is tired shut the door doesn't live here anymore is hiding underneath the bed who talks to me inside my head is blankets and spoons and big brown shoes who snores up and down up and down up and down again is the rain on the room that falls like coins asking who loves him who loves him who? Sandra Cisneros 1. Which of the following statements best identifies a theme Read the sentence below. Mr. Roosevelt's speech had an unexpected ___ on the audience. Which word should go in the blank space? effectation affectation affect effect jackson made 15 calls in 20 minutes. how many calls per minute did he make You decide to start operating a business selling friendship bracelets online; if one of the bracelets you sold falls apart, you are liable. What are the disadvantages of holding physicians criminally responsible for the outcomes of their medical actions? What metric unit is used for measuring an eyelash? What is the absolute value of 8.2 A ____ can interpret physical addressing information. Steam Workshop Downloader