Use polynomial long division to find the quote and the remainder when 2x^3-4x^2-x+2 is divided by X+2
Answers
The quotient of the polynomial is 4x - 9 and the remainder is 20
What are Quotient and remainder?The resultant of the division is called the quotient while the Remainder is the number that is left after division.
In long division, the terms on top of the division symbol are called the quotient while that at the bottom is called the remainder.
When a division has no remainder it means that the polynomial is divisible by the divisor.
The body of the calculation is found in the attached file below.
In conclusion, the Quotient and remainder are 4x - 9 and 20 respectively.
Learn more about quotient and remainder: https;//brainly.com/question/18191517
#SPJ1
Related Questions
Penny needs 12 ounces of a snack mix that is made up of chocolate and almonds.
the chocolate costs $3.50 per ounce and almonds cost $4.50 per ounce.
penny has $50 to spend and plans to spend it all.
let x = the amount of chocolate
let y = the amount of almonds
determine which equations you would use to form a system of equations for this scenario.
Answers
The equations you would use to form a system of equations for this scenario are x + y = 12 and 3.5x + 4.5y = 50 .
Given : Penny needs 12 ounces of a snack mix that is made up of chocolate and almonds.
chocolate costs $3.50 per ounce
almonds cost $4.50 per ounce
Since ,penny has $50 to spend and plans to spend it all.
let x = the amount of chocolate
let y = the amount of almonds
Total ounces should be 12
and hence
x + y = 12
and total money to spend is 50, hence
3.5x + 4.5y = 50
Therefore, these are the two equations you should use
x + y = 12
3.5x + 4.5y = 50
Hence , equations you would use to form a system of equations for this scenario are x + y = 12 and 3.5x + 4.5y = 50 .
Learn more about equations at:
https://brainly.com/question/22688504
#SPJ4
The length of the longer leg of a 30-60-90 triangle is 18. What is the length of the short leg? Round to the nearest tenth. What is the length of the hypotenuse?
Round to the nearest tenth.
Answers
The length of the triangle is given by
a) Shorter side = 10.4 units
b) Hypotenuse = 36 units
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of the longer length of the triangle is = 18 units
And , In a 30-60-90 triangle, the ratio of the side lengths is:
short leg : long leg : hypotenuse = 1 : √3 : 2
On simplifying , we get
a : b : c = 1 : √3 : 2
So , the length of shorter side a = 18 / √3
a = 10.4 units
And , the hypotenuse of the triangle c = 2 x ( 18 )
c = 36 units
Hence , the lengths of the triangle are solved
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ1
I need some help please
Answers
Answer:
109
Step-by-step explanation:
Formula
<ZHG + <IHZ = <IHG
Givens
<ZHF = 11x - 1
<IHZ = 24
<IHG = 12x + 13
Solution
11x - 1 + 24 = 12x + 13 Combine terms on the left
11x + 23 = 12x + 13 Subtract 13 from both sides
- 13 - 13
11x + 10 = 12x Subtract 11x from both sides
-11x -11x
10 = x
Answer
11x - 1 = 11*10 - 1 = 110 - 1 = 109
EMERGENCY! Please give me the correct answer!
Answers
Answer:
no it is 4^8
Step-by-step explanation:
We know a^b * a^c = a^ (b+c)
4^5 * 4^3 = 4^(5+3) = 4^8
Answer:
No
Step-by-step explanation:
The correct answer is 4^8
You can add the exponents together since the bases are the same (4 = 4)
So we add 5 and 3 together
5 + 3 = 8
4^8
Hope I helped :)
Please consider Brainliest :)
Find the indicated angle or side. Give an exact answer.
Find the exact length of side a.
Answers
Answer:
If you follow c²=a²+b² you can find your solution or you can do it with the cosinus rule/ sinus rule. But i don't see the side a remarked in your picture so i don't know which one you want to calculate.
Step-by-step explanation:
the life length of light bulbs manufactured by a company is normally distributed with a mean of 1000 hours and a standard deviation of 200 hours. what life length in hours is exceeded by 95/5% of the light bulbs
Answers
The life length in hours is exceeded by 95/5% of the light bulbs is 1329 hours.
To find the life length in hours that is exceeded by 95% of the light bulbs, we need to determine the corresponding z-score for the 95th percentile and use it to calculate the value.
Since the distribution is assumed to be normal, we can use the standard normal distribution (z-distribution) to find the z-score. The z-score represents the number of standard deviations an observation is above or below the mean.
To find the z-score corresponding to the 95th percentile, we look for the z-value that corresponds to a cumulative probability of 0.95. This value can be obtained from standard normal distribution tables or using a statistical software/tool.
For a cumulative probability of 0.95, the corresponding z-score is approximately 1.645.
Once we have the z-score, we can calculate the exceeded life length as follows:
Exceeded life length = Mean + (Z-score * Standard deviation)
Exceeded life length = 1000 + (1.645 * 200)
Exceeded life length ≈ 1000 + 329
Exceeded life length ≈ 1329 hours
Therefore, approximately 95% of the light bulbs will have a life length that exceeds 1329 hours.
Learn more about Test statistics here:
brainly.com/question/14128303
#SPJ11
900 people attended a football game. If 25% of the people who attended were teenagers, how many teenagers attended the game?
Answers
explanation: 25% of 900 is 225
The football game was attended by 225 teenagers out of 900 people who attended the game.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
The number of teenagers who attended the game can be calculated by finding the percentage of people who were teenagers. The word formula for the calculation as;
Number of teenagers in the game = 900 × 25%
Writing the percentage as fraction;
Number of teenagers in the game = 900 × 25/100
Cancelling zero as common in numerator and denominator
Number of teenagers in the game = 9 × 25
Performing multiplication on Right Hand Side of the equation
Number of teenagers in the game = 225
Hence, there are 225 teenagers.
Learn more about percentage -
brainly.com/question/24877689
#SPJ2
if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents. how much would you expect to gain after 20 tosses?
Answers
We could expect $30.00 to gain after 20 tosses.
What is the probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
The probability of all the events occurring need to be 1.
if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents.
We need to find out How much would you expect to gain after 20 tosses (in $ dollars).
Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.
Therefore, We could expect $30.00 to gain after 20 tosses.
Learn more about probability here;
brainly.com/question/11234923
#SPJ1
angle c and d are complementary. the measure of angle d is 25 degrees greater than the measure of angle c. what is the measure of each angle?
Answers
90-25=65
65/2=32.5
32.5+25=57.5
32.5+57.5=90
Point B is located at (4, 12). It is dilated
by a scale factor of 1/2 what is the new order pair for the dilated image .
Answers
Answer:
(2,6)
Step-by-step explanation:
All you do is halve the point (4,12) so it is half of 4 (2) and half of 12 (6), making the new point (2,6)
if tom has 6 apple and he gave his mom 3 apple and and she made a apple pie how many apple are left.
Answers
Answer:
depends, if he has 6 then he still has 6
if he gave her 3 of his six, then ate the pies, he has 3
Step-by-step explanation:
Markus decides to return 4 shirts costing $19 each to a clothing store. While there, he decides to purchase 2 pairs of shoes at $45 each and a raincoat for $62.75. The clerk charges him 5% tax on the amount due after returns. What amount does he owe the clerk?
Answers
Answer:
$80.59
Step-by-step explanation:
You add the price of the raincoat and shoes to get 152.75, you then subtract the price of the 4 shirts you returned to get 76.75. The 5% tax for this is 3.84 so you add the two together and you get $80.59.
Joy designs a container to
hold an egg for the egg
drop lab. The container
with the egg inside has a
mass of 120g and hits the
ground with a velocity of
16 m/s. It takes 0. 2
seconds for the container
to come to a complete
stop after first touching the
ground. What is the force
exerted on the egg
container by the ground to
change it's momentum?
Answers
The force exerted on the egg container by the ground to change its momentum is 800N.
The force exerted on the egg container by the ground to change its momentum can be calculated using Newton's Second Law of Motion, which states that the rate of change of momentum is equal to the sum of all the forces applied to a body. Thus, the force can be calculated as follows:
Force = (Mass x Change in Velocity) / Time
Given that the mass of the container with the egg inside is 120g and the change in velocity is 16m/s, we can calculate the force as:
Force = (120g x 16m/s) / 0.2s = 800N
Therefore, the force exerted on the egg container by the ground to change its momentum is 800N.
Learn more about Force here:
https://brainly.com/question/2193360
#SPJ4
Daniel can run 1 2/3 mile in 12 1/2 minute. How many mile did he run in 1 minute?
Answers
Daniel ran an average of 0.14 miles per minute, which means he ran 1 2/3 miles in 12 1/2 minutes.
Daniel completed 1 2/3 miles in 12 1/2 minutes, which means that he ran an average of 0.14 miles per minute. This rate of speed can be quickly calculated by taking the total distance he ran divided by the amount of time it took him to run it. In this case, 1 2/3 miles divided by 12 1/2 minutes equals 0.14 miles per minute. This means that in one minute, Daniel ran approximately 0.14 miles. This rate of speed is an average rate and may vary depending on the terrain, how much rest he took in between running, and how hard he pushed himself.
1 2/3 miles / 12 1/2 minutes = 0.14 miles per minute
Learn more about average here
https://brainly.com/question/24057012
#SPJ4
Audrey needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4. 25 hours and charged her $156 for parts. The total was $347. 25. What was the cost of labor, per hour?
Answers
The cost of labour per hour is $45.
To find the cost of labour per hour, we need to first subtract the cost of the parts from the total cost to get the cost of the labour.
Total cost - cost of parts = cost of labour
$347.25 - $156 = $191.25
Now we can divide the cost of labour by the number of hours the technician worked on the computer to find the cost of labour per hour.
Cost of labour / Hours worked = Cost of labour per hour
$191.25 / 4.25 hours = $45 per hour
Therefore, the cost of labour per hour was $45.
To know more about cost of labour
https://brainly.com/question/17270338
#SPJ4
a large basket of fruit contains apples, oranges, and peaches. what is the least number of pieces of fruit ann must take from the basket to be certain that she chooses at least 10 apples, or at least 12 oranges, or at least 14 peaches? ann will choose the fruit blindly.
Answers
Ann must take out at least 36 fruits from the basket.
Here, we are given that a large basket of fruit contains apples, oranges, and peaches.
Ann has to take out fruits from the basket such that she chooses at least 10 apples, or at least 12 oranges, or at least 14 peaches.
We need to find the least number of fruits that she must take out.
Now, let us assume that she take out 10 fruits. In order to satisfy the condition given, all the 10 fruits must be apples but this may not be always the case.
Thus, the number of fruits is definitely greater than 10.
Similarly, we can notice that the number of fruits is also greater than 12 and 14.
Now, let us say Ann takes out 12 + 14 + 10 = 36 fruits.
In this case, if either all are oranges, apples or peaches, the condition is satisfied. And similarly, you will notice that any combination of fruits will always satisfy the given condition.
Hence, Ann must take out at least 36 fruits from the basket.
Learn more about probability here-
https://brainly.com/question/25870256
#SPJ4
Answer:
34
Step-by-step explanation:
So you have to think of the worst case scenario, let's say Ann gets really unlucky and picks out 9 apple, 11 oranges, and 13 peaches, which equals 33 fruit in total, the next fruit she picks out will satisfy the condition, so therefore the answer is 34
Find the slope of the line represented by the data below x| 0 2 4 6 8
y|15 9 3 -3 -9
Slope=[?]
![Find the slope of the line represented by the data below x| 0 2 4 6 8 y|15 9 3 -3 -9Slope=[?]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/m64yASe5JtVPvVttTFdpoUym6CwlcuL2.png)
Answers
Answer:
it's answer is 10/-15.........
HJ
is extended through point J to point K, \text{m}\angle JHI = (x+12)^{\circ}m∠JHI=(x+12)
∘
, \text{m}\angle HIJ = (x-3)^{\circ}m∠HIJ=(x−3)
∘
, and \text{m}\angle IJK = (5x-6)^{\circ}m∠IJK=(5x−6)
∘
. Find \text{m}\angle IJK.m∠IJK.
Answers
Answer:
19 degrees
Step-by-step explanation:
From the question given
The interior angles are x+12 and x - 3
Exterior angle is <IJK = 5x-6
Using the rule that states that the sum of interior angle of a triangle is equal to the exterior
<JHI + <HIJ = <IJK
x+12 + x-3 = 5x - 6
2x+9 = 5x -6
2x - 5x = -6-9
-3x = -15
x = -15/-3
x = 5
Get <IJK
Recall that <IJK = 5x - 6
<IJK = 5(5) - 6
<IJK = 25-6
<IJK = 19 degrees
Hence the measure of <IJK is 19 degrees
A bank loans a customer $75,000 for a period of 12 years. The simple interest rate of the loan is 8.2%. What is the total (loan plus interest) amount that the customer will need to pay the bank over the 12 years?
Answers
If $1000 is invested now with simple interest of 8% per year. ... Find the total amount on deposit at the end of 4 years if the interest is: ... e) compounded monthly, n =12: A = 5000(1 + 0.06/12)(12)(4) = 5000(1.005)(48) = $6352.44 ... When a bank offers you an annual interest rate of 6% compounded continuously,
HELP PLEASE (see attachment) I WILL GIVE BRAINLIEST
Answers
Your second last answer is right mark me Brainlist as you say : )
Use the drop down menus to represent the solution to the system of the two linear equations shown on the graph. The solution of equation is... (?,?)
Answers
Answer:
Step-by-step explanation:
(4, -3)
5. What is "Data Triangulation" in general? Give 2 real-world examples.
Answers
Data triangulation is a research method that involves using multiple data sources or methods to gather and analyze information, enhancing the validity and comprehensiveness of findings.
Data triangulation is a research method that involves using multiple sources or methods to gather and analyze data on a particular topic or research question. By combining different data sources, researchers aim to enhance the validity, reliability, and comprehensiveness of their findings.
Two real-world examples of data triangulation are:
Qualitative-Quantitative Triangulation in Market Research: In market research, qualitative methods like focus groups or interviews can be combined with quantitative methods like surveys or sales data analysis. By triangulating these data sources, researchers can gain a deeper understanding of consumer preferences, behaviors, and market trends, combining the richness of qualitative insights with the statistical power of quantitative data.Methodological Triangulation in Educational Research: In educational research, methodological triangulation can be employed by using multiple research methods to investigate a learning phenomenon. For example, a researcher may use classroom observations, interviews with teachers, and student performance data to gain a comprehensive understanding of a teaching strategy's effectiveness. By triangulating these data sources, the researcher can capture a more complete picture of the learning environment and draw robust conclusions.Learn more about Data Triangulation at
https://brainly.com/question/30027711
#SPJ4
Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
45°
60°
120°
135°
Answers
Answer:
135 degrees
Step-by-step explanation:
135 is 3 times the measure of 45, and 45 + 135 equals 180. Supplementary angles add up to 180 degrees.
Answer:
Step-by-step explanation:
135
Mathew, your classmate, who is also an SK Chairman in your Barangay Matayog,
organized a KITE FLYING FESTIVAL. He informed your school principal to motivate
students to join the said KITE FLYING FESTIVAL.
1. Suppose you are one of the students in your barangay, how will you prepare the design of
the kite?
2 Make a design of the kite assigned to you.
3. Illustrate every part or portion of the kite including their measures.
4. Using the design of the kite made, determine all the mathematics concepts or principles
involved.
patulong poh.
Answers
By following the steps mentioned we can create unique kite design and enjoy flying it with your friends and family using mathematics concepts.
Steps:
Designing the kite:
Designing a kite can be a fun and creative process. First, you need to determine the shape and size of your kite. You can choose from different shapes such as diamond, triangle, hexagon, or even a custom design. Once you have determined the shape, you can start working on the materials. For instance, you may choose to use plastic, paper, or cloth. After that, you need to consider the frame of the kite. You may use bamboo sticks or other lightweight materials. Lastly, you can decorate your kite with colors, patterns, and designs.
Sample kite design:
For this sample design, we will use a diamond shape kite, measuring 50cm by 50cm. The materials used are plastic for the kite body and bamboo sticks for the frame. Here's how you can make the kite:Cut the plastic into a diamond shape, measuring 50cm by 50cm.Attach the bamboo sticks on the edges of the kite, using adhesive tape or glue.Add a tail to the kite, measuring 100cm long.Cut a small hole in the center of the kite, where you will attach the string.Parts of the kite:
Here are the different parts of the kite and their measures:Kite body: Diamond shape, measuring 50cm by 50cm.Frame: Bamboo sticks, measuring 55cm for the vertical sticks, and 60cm for the horizontal sticks.Tail: Made of lightweight materials, measuring 100cm long.String: Attached to the center of the kite, measuring 50 meters long.Mathematics concepts involved:
Designing a kite involves several mathematical concepts, such as:
Geometry: Determining the shape, size, and measurements of the kite requires an understanding of geometry concepts such as angles, triangles, and polygons.Measurement: Measuring the different parts of the kite, including the body, frame, tail, and string, requires an understanding of measurement units such as centimeters, meters, and feet.Proportions: Ensuring that the frame and tail are proportionate to the kite body requires an understanding of ratios and proportions.Physics: Flying a kite involves concepts such as lift, drag, and gravity, which are all related to the principles of physics.Learn more about mathematics here:
https://brainly.com/question/27235369
#SPJ4
In one elementary school curriculum, mathematical variables first appear in the sixth grade. why are they not introduced in the fourth or fifth grade?
Answers
What is half of 2²⁰⁰2
Answers
Answer:
1¹⁰⁰1
Step-by-step explanation:
half all the numbers
sorry if im wrong
If you were required to survey Fresno City College students regarding their employment status, which sampling technique would you use? Explain.
Answers
If I were required to survey Fresno City College students regarding their employment status, I would use a stratified random sampling technique.
Stratified random sampling involves dividing the population into subgroups, or strata, based on certain characteristics that are relevant to the survey. In this case, the relevant characteristic is employment status. The population consists of all Fresno City College students, and the two strata are employed and unemployed students.
Once the population has been divided into strata, a random sample is taken from each stratum. The sample size for each stratum is proportional to the size of the stratum in the population. For example, if 60% of Fresno City College students are employed, then 60% of the sample should consist of employed students.
Using a stratified random sampling technique ensures that the sample is representative of the population and that each subgroup is represented in the sample. It also reduces sampling error and increases the precision of the estimates.
if the sum of three real numbers is $0$ and their product is $17$, then what is the sum of their cubes?
Answers
Answer:
51
Step-by-step explanation:
x + y + z = 0 →- -(x + y) = z → z^3 = - (x^3 + 3x^2y + 3xy^2 + y^3)
xyz = 17
xy [ -(x + y) ] = 17
xy (x + y) = -17 → x^2y + xy^2 = -17 → 3x^2y + 3xy^2 = -51
So......
x^3 + y^3 + [ z^3 ]
x^3 + y^3 + [ - ( x^3 + 3x^2y + 3xy^2 + y^3) ] =
-3x^2y - 3xy^2 =
-[ 3x^2y + 3xy^2] =
- [-51] =
51
please rate 5 stars
Using money to systematically target those who may be vulnerable due to their low financial status can be considered coercion and it breaches which one of the following four ethical principles?
a. Beneficence b. Justice c. Respect for Autonomy d. Non-maleficence
Answers
Option B, Justice is one of four ethical concepts. The definition states that there must be fairness in all medical judgments.
Four ethical principles: autonomy, benevolence, harmlessness, and justice. Each of these principles serves a specific purpose, but all four work together to empower you as healthcare professionals and ensure that your patients receive high-quality, ethical care.
The literal concept of autonomy and the medical concept of autonomy diverge and intersect. Charity is an act of compassion or mercy. The activities of all healthcare workers should always be positive. Of the four principles of medical ethics, harmlessness is the most important.
Learn more about the Healthcare provider's ethical principles at
https://brainly.com/question/24526464?referrer=searchResults
#SPJ4
\(cos(21) = \frac{4}{x} \)
Please help! brainliest to first correct answer!
![[tex]cos(21) = \frac{4}{x} [/tex]Please help! brainliest to first correct answer!](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/5ztULaDORhE1Fl0er2ezLfV7pEAtpX8g.jpeg)