Given the value of the area, the width of the rectangle whose length is 2 units more than twice its width is 4 units
Option A) 4 units is the correct answer.
What is Rectangle?A rectangle is simply a 2-dimensional shape which has opposite sides equal to each other and all four angles are right angles.
Area of a rectangle is expressed as;
A = l × w
Where l is length and w is width
Given the data in the question;
Width of the rectangle = w unitsLength of the rectangle L = 2w + 2 unitsArea of the rectangle A = 40 units²Value of w = ?
We substitute our given values into the expression above.
A = l × w
40 = (2w + 2) × w
w( 2w + 2 ) = 40
2w² + 2w = 40
2w² + 2w - 40 = 0
divide through by 2
w² + w - 20 = 0
Using the quadratic formula;
x = (-b±√(b² - 4ac)) / (2a)
a = 1
b = 1
c = -20
w = (-1±√(1² - ( 4× 1 × -20 ))) / (2×1)
w = (-1±√(1 + 80)) / (2)
w = (-1±√(81)) / 2
w = (-1 ± 9) / 2
Hence
w = (-1 + 9) / 2 or (-1 - 9) / 2
w = 8/2 or -10/2
w = 4 or -5
But the width the rectangle cannot be a negative number.
Given the value of the area, the width of the rectangle whose length is 2 units more than twice its width is 4 units
Option A) 4 units is the correct answer.
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Answer:
A or 4 units
Explanation:
Which of the following best describes an active volcano?
A. An active volcano has a record of eruption within the last 600 years or has erupted 10,000 years ago based on analyses of its materials
B. An active volcano has erupted 20,000 years ago and has evidences of volcanic activities.
C. An active volcano has no record of eruption but has the potential to erupt.
D. An active volcano has no record of eruption for the last 600 years.
An active volcano has a record of eruption within the last 600 years or has erupted 10,000 years ago based on analyses of its materials
The International Association of Volcanology or (IAVCEI) defines a potentially active volcano as one that has erupted during the past 10,000 years
A young teenager is arrested in connection with a serious assault on a police officer. He has a history of listening to rap music that glorifies violence against the police. Which criminologist from history would most likely connect the teen’s actions with the music he listens to?
The criminologist from history that would most likely connect the teen’s actions with the music he listens to is Franz Joseph Gall.
Who is a criminologist?A Criminologists is known to be any people that is said to be working and looking into the study of crime and the the way that society respond to them.
Franz Joseph Gall is known to have a study of the brain anatomy and as such he can help connect the teen’s actions with the music he listens to.
See options below
a.) Franz Joseph Gall
b.) Hans Eysenck
c.) Gabriel Tarde
d.) Travis HirschiLearn more about criminologist from
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Answer:
C. Gabriel Tarde
Explanation:
Plato Correct!
Why is the normal range for the mass of dna in a male cat cell lower than for a female cat?
Answer:
Explanation:
This is because Y chromosomes are smaller than X chromosomes so the mass of DNA is smaller in male cells than in female cells.
Hope this was helpful :)
The organism that is in longest reign and is relative to the percent of time dominating the surface of earth.
Answer:
the barosphere is made up of the parts of Earth where life exist over a long period of time the outer sphere develops a mix of oxygen
Work out the current through an electric kettle with a power of 2. 2kw if it uses the 180v mains supply. Round your answer to 2 significant figures.
Answer:
I=p/v
2.2x10power1000/180
2200/180
12.22Amps
Using the standard normal table, the probability that seth’s light bulb will last no more than 14,500 (p(z ≤ 1. 25)) hours is about.
A company gives each new salesperson a commission of $300 for the sale of a new car. The salesperson will receive a $100 increase for each additional car the person sells that week, so the person gets $400 for the next sale that week. Which equation represents the number of cars a salesperson must sell to earn $4,200 in commissions in a week? recall that for an arithmetic sequence, mc025-1. Jpg is equivalent to mc025-2. Jpg. Mc025-3. Jpg mc025-4. Jpg mc025-5. Jpg mc025-6. Jpg.
An equation which represents the number of cars a salesperson must sell to earn $4,200 in commissions is [tex]4200 = \frac{n}{2}(2(300) +(n-1)100)[/tex].
Given the following data:
First commission = $300.Second commission = $400.Common difference = $100.Total commission = $4,200.How to calculate an arithmetic sequence.Mathematically, the sum of an arithmetic sequence is calculated by using this expression:
[tex]S_n = \frac{n}{2}(2a +(n-1)d)[/tex]
Where:
d is the common difference.[tex]a_1[/tex] is the first term of an arithmetic sequence.n is the total number of terms.Substituting the given parameters into the formula, we have;
[tex]4200 = \frac{n}{2}(2(300) +(n-1)100)[/tex]
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Answer:
A 4200=n(2(300)+(n-1)100/2)
Explanation:
I got 100% on my unit test. This is the one that makes sense, and if you add up 300+400+500+600 etc. until you get a sum of 4200, this is the formula that matches the number of terms (cars sold), which is 7. He has to sell 7 cars.
Selective breeding has led to the production of modern domesticated crops and animals. Question 1 options: true false.
What are the functions of „hubble space telescope‟.
A 60 g ball is tied to the end of a 70 -cm-long string and swung in a vertical circle. The center of the circle, as shown in the figure,(figure 1) is 150 cm above the floor. The ball is swung at the minimum speed necessary to make it over the top without the string going slack.
The tension in the string an instant before it broke is; T = 0.86 N
What is the Tension in the string?
We are given;
mass of ball; m = 60 g = 0.06 kg
Length of string; L = 70 cm = 0.7 m
Height the ball reaches; h = 150 cm = 1.5 m
From Newton's equation of motion;
v² - u² = 2as
where v = 0 m/s Thus;
-u² = 2(-9.81 * (1.5 - 0.7)
u² = 15.696
u = √15.696
u = 3.17 m/s
Thus, tension is;
T = mu²/L
T = (0.06 * 3.17²)/0.7
T = 0.86 N
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A silo (base not included) is to be constructed in the form of a cylinder surmounted by a hemisphere. The cost of construction per square unit of surface area is times as great for the hemisphere as it is for the cylindrical sidewall. Determine the dimensions to be used if the volume is fixed at cubic units and the cost of construction is to be kept to a minimum. Neglect the thickness of the silo and waste in construction
The dimensions to be used if the volume is fixed at cubic units include:
Surface area of a cylinder is 2πrh +2πr² Volume of cylinder = πr²h Volume of a hemisphere = 2/3 π r³ Surface area of a sphere = 4πr²What is Volume?This is defined as the amount of three-dimensional space enclosed by a closed surface.
The dimensions which can be used are shown above where r is radius and h is height.
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Pam started watching a movie at 2:53 p. M. The movie was 1 hour and 52 minutes long. After the movie, pam rode her bike for 46 minutes. When did pam finish riding her bike?
Pam finished her bike ride at 5:31 p.m.
How to calculate the time Pam finished her activities?To calculate the time that Pam finished her activities (watching a movie and riding her bike) we must add the number of minutes that she used for these two activities and then add this number of minutes to the time that she started her activities. (2:53 p.m.)
She started at 2:53 p.m.She watched a movie that was 1 hour and 52 minutes long - she finished watching the movie at 4:45 p.m.She rode her bike for 46 minutes - she finished riding her bike at 5:31 p.m.Learn more about time in: https://brainly.com/question/26941752
How long will it take to go 150,000 meters traveling at 50 km/hour?
Answer:
3 hours
Explanation:
1. Convert 150,000 meters into kilometers - 150,000 ÷ 1000 = 150 kilometres
2. Use the equation: time = distance ÷ speed
3. Substitute in the known values: time = 150 km ÷ 50 km/h = 3 hours
Hope this helps!
Answer:
3 hours
Explanation:
First, you have to convert meters to kilometers.
150,000 meters ⇒ 150 kilometers
Then you divide 150 by 50 and see what you get:
150 ÷ 50=3
It will take 3 hours to go 150,000 meters at 50 km/hour
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Which information can be found in both the biography and autobiography.
Answer:
The story of someone's life
Explanation:
Biography is writing about another persons life.
An Auto-biography is when you write about your own life.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
The Information that can be found in both Biography and Autobiography is mostly same the only difference we see is experiences of the person in different point of view.
Biography: A collection of someone's life experiences and struggles is written by someone.
Autobiography: A collection of experiences that he went through in his life written by himself.
Information found both in biography and autobiography is same which deals with the nonfictional stories or events like overview of the personality, experiences and events that changed or shaped the person or effected the person.
Compared to biography autobiography is more authentic and make you feel connected to the person as the person who had experienced the events in life can explain us more than an person who is inspired from other person.
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What caused the difference in the amount of x-ray to be released according to henry moseley?
The factor that triggered the difference in the amount of x-ray to be released according to Henry Moseley is the difference in atomic mass.
Who is Henry Moseley?
Henry Gwyn Jeffreys Moseley was an English Physicist. His contribution to physics was that he was able to measure the various X-Ray spectra of various elements by the use of diffraction in crystals.
He was able to establish a relationship between atomic number and wavelength. The relationships discovered between these elements became known as Moseley's Law.
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If you subtract 0. 3 from a certain number, add 0. 4 times the original number to the result, and then add another 2. 78, you'll get 25. What was the original number?
Is he cool?
A: Yes
B: Maybe
C: No
D: He is cool and smart
E: None of the above
F: He is rich
Answer:
Yes because he can be a learly good friend to hang out with
Answer:
D.
Explanation:
HE IS COOL AND SMART or F he is rich?
Erica and amy started biking in opposite directions.
Which of the following correctly describes how heat behaves.
Explanation:
heat travels from a region lower concentration to a region of higher concentration
The questions on a test consist of 10 multiple choices, 3 essays, and 9 free responses. If the questions are ordered randomly, what is the probability that the first question is a free response?
Answer:
9/22 or 40.9%
Explanation:
Probability describes the likelihood of an event. To find simple probability, like in this question, use division.
To find the probability of the first question being a free response, you first need to find the total number of questions. This can be done by adding together all of the given information. There are 10 multiple choice, 3 essays, and 9 free responses.
10 + 3 + 9 = 22This means that there are 22 total questions. Next, find how many of these questions are free-response. We know that there are 9 free responses and 22 questions in total. So, 9 out of 22 are free responses. This can be rewritten as 9/22.
If you want to find the percentage, simplify the fraction and convert it to a percentage.
9/22 = 0.409Then, move the decimal 2 places to the right. This gives you 40.9%, which is the probability of the first question being a free-response.
Based on the distribution map below, which country receives the most imports from vietnam?
Based on the distribution map below, which country receives the most imports from Vietnam?
The United States
Answer: The United States
Hope this helps <3
A cone-shaped container has a height of 9 inches and diameter of 2. 5 inches. It is filled with a liquid that is worth $2 per cubic inch. What is the total value of the liquid in the container? use 3. 14 for π. Enter your answer in the box
Answer:
Jesus
Explanation:
he is always the answer
Buzz appliances manufactures two products: food processors and espresso machines. The following data are available: food processors espresso makers sales price $125 $225 variable costs $80 $190 the company can manufacture either two food processors per machine hour or three espresso machines per machine hour. The company's production capacity is 1,600 machine hours per month. To maximize profits, what product and how many units should the company produce in a month (assuming unlimited demand for both products)?
In order to maximize profit, 4800 Expresso machines and 0 food processors should be produced.
How to maximize profitFrom the information given, the contribution margin per hour for Expresso makers will be:
Sales price = $225
Less: Variable cost = $190
Contribution margin = $35
Units per hour = $3
Contribution margin per machine hour = $35 × 3 = $105
Also, the Contribution margin per machine hour for food processor is $90.
Number of units available = 1600
Units per machine hour = 3.
Units to manufacture = 1600 × 3 = 4800
Therefore, to maximize profit, 4800 Expresso machines and 0 food processors should be produced.
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What is a major division between gravity and the electromagnetic force on one hand and the nuclear forces on the other?(1 point).
Gravity is force present between masses while electromagnetic forces are found between charges.
Nuclear forces are short range while electromagnetic forces are long range.
Electromagnetic force Vs Nuclear forceNuclear force are short ranged while electromagnetic forces cover a wider range, it is dependent on the charges present. Unlike charges attract each other while like charges repel each other in electromagnetic forces.
Nuclear forces occur in the nucleus of an atom and it an attractive force. unlike electromagnetic forces nuclear force do not repel.
Hence we can conclude that ; Gravity is force present between masses while electromagnetic forces are found between charge and Nuclear forces are short range while electromagnetic forces are long range.
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Answer: C: Gravity and Electromagnetic force have infinite ranges and nuclear have small ranges
Explanation: I took the test today and promise it's right
Use the graph or table to find the equation that represents the relationship.
Explanation:
please place the image so that way we can know
Answer:
Explanation:
x y
2 1
1 −2
3 4
x y
14 −1
18 12
0 2
On a coordinate plane, a line goes through (0, negative 5) and (4, 0).
On a coordinate plane, a line goes through (0, 3) and (0.5, 0).
Which of the following agricultural practices is detrimental to the earth? swidden agriculture terraced farming wet rice agriculture dry rice agriculture.
Answer:
terrace farming
Explanation:
terrace farming
On food labels, the term wheat flour actually refers to refined white flour
false
refined flour starts as wheat flower but it has a bunch of different added things
What are mathematical terms which cannot be precisely defined.
Answer:
The mathematical term that cannot be precisely defined is referred to as: a point.
Explanation:
The genetic code can specify the order of amino acids in the polypeptide because.
>calculate the average rate of change for the graphed sequence from n = 2 to n = 4.