Sketch the solid whose volume is given by the iterated integral.
Answers
A sketch of the solid whose volume is given by the iterated integral is shown in the image attached below.
How to calculate an integral?In this exercise, you're required to sketch the solid whose volume is given by the iterated integral below. Thus, we would first of all evaluate the integral so as to get a unit value.
Given the following integral:
∫¹₀∫₀¹(4 - x - 2y)dxdy
Integrating x with respect to y, we have:
∫¹₀∫₀¹(4 - x - 2y)dxdy = ∫¹₀[(4 - (1/2)- 2y)]dy
∫¹₀∫₀¹(4 - x - 2y)dxdy = 4y - (y/2) - (2y²/2)|¹₀
Evaluating the integral, we have:
∫¹₀∫₀¹(4 - x - 2y)dxdy = 4(1) - (1/2) - (2(1)²/2)
∫¹₀∫₀¹(4 - x - 2y)dxdy = 4 - 1/2 - 1
∫¹₀∫₀¹(4 - x - 2y)dxdy = 5/2
In conclusion, a sketch of the solid whose volume is given by the iterated integral is shown in the image attached below.
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Related Questions
The united states postal service charges $0.55 to mail a first-class letter that weighs up to 1 ounce. each additional ounce costs $0.15. which equation represents the situation?
Answers
The equation that best represents the situation is =
y=0.15[x]+0.55
The equation for the postal service chargesThe amount that is charged for 1 ounce first-class letter=$0.55
The cost for any additional ounce = $0.15
Let X represent the additional ounce.
The total price which is represented by y should be=0.15[x]+0.55
Therefore, the equation that best represents the situation is y=0.15[x]+0.55
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Answer:
d
Explanation:
what is 94,104 divided by 12
Answers
Answer:
7841.75
Explanation:
Answer:
7841.75
Explanation:
Used a calculator
Jkl will be rotated 90 degrees clockwise around the origin to form jkl
Answers
JKL will be rotated 90 degrees clockwise around the origin to form J'K'L' using the rule (x, y) ⇒ (y, -x).
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
JKL will be rotated 90 degrees clockwise around the origin to form J'K'L' using the rule (x, y) ⇒ (y, -x).
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Choose the best translation of the following sentence. for a girl, she's really tall. por ser chuica, es muy alta. para ser una chica, es muy alta.
Answers
The best translation of the sentence "for a girl, she's really tall" in Spanish is "Para ser chica, es muy alta".
What is Spanish language?Spanish language is a language spoken by the Spanish people (citizens of Spain). It has its origin from Latin words and it is spoken by over 500 million people all over the world.
The sentence, "for a girl, she's really tall" is speaking about a girl who has a tall height compared to other girls. The girl is having a gigantic height that can't be likened to other girls.
Therefore, the best translation of the sentence "for a girl, she's really tall" in Spanish is "Para ser chica, es muy alta".
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Answer:
Para ser una chica, es muy alta.
Explanation:
B
Which phrase best paraphrases the underlined text in the passage? stars so far away stars so small stars so close stars so large
Answers
Answer:
Stars so small
Explanation:
What is the ratio of the kinetic energy of an object of mass 3m moving at speed 2v to an object of mass m/2 moving at a speed v?
Answers
The ratio of kinetic engery between two objects having mass as 3m and m/2 along with the speed of 2v is 6.
What is kinetic energy?A kinetic energy is the engery generated by the movement or the motion of the moving objects. It is required for the acceleration of the moving body or the object.
Computation:
[tex]\begin{aligned}\dfrac{(\text{KE})_1}{(\text{KE})_2}&=\dfrac{\frac{1}{2}{m_1}\;{v_1^2}}{\frac{1}{2}{m_2}\;{v_2^2}}\\\\&=\dfrac{\frac{1}{2}{2m}\;{3v^2}}{\frac{1}{2}{3m}\;{v^2}}\\\\&=\dfrac{2\times9}{3}\\\\&=6\end{aligned}[/tex]
Therefore the ratio is 6.
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The shape of mercury can be approximated by a sphere with a diameter of 4880 kilometers. find the surface area and the volume of mercury. for surface area, round your answer to the nearest tenth of a million. for volume, round your answer to the nearest tenth of a billion.
Answers
The surface area and the volume of mercury whose shape can be approximated by a sphere is 7.5ˣ10⁷ squared km and 6.1ˣ10¹⁰ cubed km respectively.
What is of volume of sphere?Volume of sphere is the amount of quantity, which is obtained by the it in the 3 dimensional space.
The volume of the sphere can be given as,
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
The surface area of a sphere can be calculated with the following formula,
[tex]A_s=4\pi r^2[/tex]
Here, (r) is the radius of the sphere.
The shape of mercury can be approximated by a sphere with a diameter of 4880 kilometers. The radius of it is the half of the diameter. Thus,
[tex]r=\dfrac{4880}{2}\\r=2440[/tex]
Thus, the surface area of it is,
[tex]A_s=4\pi (2440)^2\\A_s\approx7.5\times10^7\rm \; km^2[/tex]
The volume of the mercury is,
[tex]V=\dfrac{4}{3}\pi r^3\\V=\dfrac{4}{3}\pi (2440)^3\\V\approx6.1\times10^{10}\rm\; km^3[/tex]
Thus, the surface area and the volume of mercury whose shape can be approximated by a sphere is 7.5ˣ10⁷ squared km and 6.1ˣ10¹⁰ cubed km respectively.
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Which undefined term is used to define a ray? plane circle angle line
Answers
The undefined term that is used to define and describe a ray is called line.
What is a ray in Geometry?In Geometry, a ray is that part of a line that has a determinate initial starting point but no terminal endpoint. The ray is usually used in vector forms to identify points, in which one of the points is fixed and the other is infinite.
An example of a ray can be seen from the light that emanates from the sun. The symbol used for the identification of ray is: →
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Which atom is bonded to the carbon atom in the functional group of a ketone?
Answers
Jiminy’s cricket farm issued a 30-year, 6 percent semiannual bond three years ago. the bond currently sells for 93 percent of its face value. the book value of the debt issue is $95 million. in addition, the company has a second debt issue on the market, a zero coupon bond with eight years left to maturity; the book value of this issue is $40 million, and the bonds sell for 67 percent of par. the company’s tax rate is 22 percent. a. what is the company’s total book value of debt? (enter your answer in dollars, not millions of dollars, e.g. 1,234,567.) b. what is the company’s total market value of debt? (enter your answer in dollars, not millions of dollars, e.g. 1,234,567.) c. what is your best estimate of the aftertax cost of debt? (do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Answers
The company’s total book value of debt is $135,000,000 and the company’s total market value of debt is :$115,150,000.
Total book value of debt and Total market value of debt
a. Book value of debts
Book value of debts=Book value of debt issue+Book value of this issue
Book value of debts= $95,000,000 + $40,000,000
Book value of debtsB =$135,000,000
b. Total market value of debt
Total market value of debt=[(.93)($95,000,000) + (.67)($40,000,000)]
Total market value of debt= $88,350,000+$26,800,000
Total market value of debt= $115,150,000
Therefore the company’s total book value of debt is $135,000,000 and the company’s total market value of debt is :$115,150,000.
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What is the exact value of tan 30°? enter your answer, as a simplified fraction, by filling in the boxes.
Answers
Answer:
√3 / 3
Explanation:
Here,
tanx = sinx / cosx
By substituting the values , we get ,
tan ( 30 ) = 1/2
————
√3/2
Now,
By multiplying both numbers,
tan ( 30 ) = 1/√3
At Last,
Multiplying both numbers by square root 3,
tan ( 30 ) = √3/√3 * √3 = √3 / 3 . answer
Answer:
please see photo above for detailed analysis.
Why should i wrap my door knobs in aluminum foil when i'm home alone
Answers
The reason why one should wrap a door knobs in aluminum foil when one is home alone is to hinder (prevent) the door from latching.
What is the use of aluminum foil?An Aluminum foil is known to be a type of foil that helps to give a surface or object a form of full barrier against light, oxygen, etc.
Note that the foil is often used in food and also in pharmaceutical and the reason why one should wrap a door knobs in aluminum foil when one is home alone is to hinder (prevent) the door from latching.
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Fill in the table of values for the equation y=2-x
Answers
Answer:
if x=0
then y=2
if x=1
then y=1
if x=2
then y=0
Introduction to linear algebra 5th edition solutions pdf
Answers
Answer:
What is your questions? What do you need help on? Ive taken algebra but what pdf do u mention?
What x values are not included in the domain of the quotient of two functions
Answers
Any x value that makes the denominator equal to 0
Explanation:Rational Functions
The quotient of two functions can be rewritten as a rational function. All rational functions have discontinuities in the domain where the denominator equals 0. For this to make sense, remember that anything divided by 0 is undefined.
Examples
To show this idea, I will use the example [tex]\frac{x^3-2}{x+3}[/tex]. For this rational function or quotient of two functions, the x value -3 is not included in the domain. This is due to the fact that when x=-3, the denominator is equal to 0. Thus, the function is undefined at this value.
Earl's savings account has an apr of 7.3%, calculates interest daily, and pays interest at the end of the month. if during the month of june, his balance was $400 for the first 10 days of the month, $1500 for the next 10 days of the month, and $600 for the last 10 days of the month, how much total interest did earl earn in june?
Answers
Answer:
it’s D. $5.00
Explanation:
Answer:
$5.00
Explanation:
Got it right on the quiz.
Luther operates an upscale restaurant in a wealthy golf club community. he actively discourages individuals who do not live in the neighborhood from making reservations even though the restaurant itself is public. luther's behavior is best described as an example of
Answers
Luther's behavior of actively discouraging certain individuals from making reservations is best described as an example of discrimination.
What is discrimination?Discrimination refers to a terminology that is primarily used to connote or describe a behavior that is characterized by an unfair and prejudicial treatment of certain individuals or group of people based on any of the following factors:
WealthSocial statusSe×ual orientationGenderAgeRace (color)In conclusion, we can deduce that Luther's behavior of actively discouraging certain individuals from making reservations is best described as an example of discrimination.
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You have planned purchases of $4,000. You have received orders that total $2,300, and you have ordered merchandise that totals $700. Calculate the open-to-buy amount
Answers
The open-to-buy amount given the total planned purchases, received orders and ordered merchandise is $1,000
How to calculate the open to buy amount?Total planned purchase = $4,000Received orders = $2,300Ordered merchandise= $700open-to-buy amount = Total planned purchase - (Received orders + Ordered merchandise)
= 4000 - (2,300 + 700)
= 4000 - 3,000
= 1,000
Therefore,
open-to-buy amount = $1,000
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Which three statements accurately describe the populist party?
Answers
Many farm protest organizations joined the Populist Party in 1892.The Populist Party supported a Free Silver currency policy.Republican voters were drawn to the Populist Party’s platform.The Populist Party wanted more government regulation.
Explanation:
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Calculate the average change of dissolved oxygen per year in the lake over the course of the study
Answers
The average change of dissolved oxygen per year in the lake over the course of the study is; 0.11 mg/L
What is dissolved oxygen?Dissolved oxygen is defined as the amount of oxygen gas that is present dissolved in a given volume of water as a solution.
Dissolved oxygen is very important for aquatic animals as it provides the main source of oxygen required for respiration by these animals.
Due to human activities arising from water pollution and heating of water bodies, the amount of dissolved oxygen in water bodies is on the decrease.
To calculate the average change of dissolved oxygen per year in a particular lake, the formula is;
Average change of dissolved oxygen per year = total change over the years/total number of year
Average change of dissolved oxygen per year = (8.6 mg/L - 3.3 mg/L)/(2014 - 1965) = 0.11 mg/L
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Which best explains why companies use celebrities to endorse their products? to develop a brand to copy other companies to influence consumers to justify a quality claim
Answers
Answer:
its C
Explanation:
or is it
Answer:
CCCc
Explanation:
Determine the ratio of offspring with the described trait to the total number of offspring:unattached earlobes and cleft chin :unattached earlobes and no cleft :attached earlobes and cleft chin :attached earlobes and no cleft :
Answers
Unattached earlobes and no cleft : 3
Attached earlobes and cleft chin : 3
Attached earlobes and no cleft :1
Which type of program is the spanish equivalent of a soap opera
Answers
Answer:
Telenovela
Explanation:
A telenovela is a type of a television serial drama or soap opera produced primarily in Latin America.
[The word combines tele (for "television") and novela (meaning "novel") ]
Use the sentence to complete the activity. talk to them, and you should tell them the truth. in 1–2 sentences, identify the shift in mood and rewrite the sentence correctly.
Answers
The rewritten form of the sentence is "Tell them the truth when you talk to them".
What is a shift in mood?A shift in mood is known to be found a sentence that uses a two or more mood.
An example: Wash your teeth if you want to eat dinner. Note that this sentence began an imperative phrase and then later by a conditional mood as in the case above.
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A person buying a personal computer system is offered a choice of three models of the basic unit, two models of keyboard, and two models of printer. how many distinct systems can be purchased?
Answers
The number of distinct computer systems that this person can purchase is equal to twelve (12).
Given the following data:
Number of basic units = 3 models.Number of keyboard = 2 models.Number of printers = 2 models.How to calculate the number of distinct systems.In order to determine the number of distinct computer systems that this person can purchase, we would use a mathematical model referred to as combination.
Mathematically, combination is given by this mathematical equation:
[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]
Where:
n is the number of items.r is the number of times of choosing items.Substituting the given parameters into the formula, we have;
³C₁ × ²C₁ × ²C₁ = 3 × 2 × 2
Distinct systems = 12.
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What does lady bracknell say that makes light of marriage in this excerpt
Answers
Answer:
um is there supposed to be text?
Explanation:
Is the chemical process plants go through in order to make their own food.
Answers
Answer:
Your answer is photosynthesis.
Explanation:
Photosynthesis is the process when plants use the sun's sunlight to convert it to chemical energy. They store the chemical energy somewhere and use it later. Then, plants use that same chemical energy to make their food in order to grow.
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Based on the audio, what made the natural disaster worse after the disaster? the showers the smoke the storm the wind
Answers
Based on the audio recording, the smoke made the natural disaster worse after it ended.
What is a natural disaster?A natural disaster refers to a natural occurrence that is beyond human control. Also, it's typically characterized by injuries, death or severe damage to both the living and non-living organisms staying within the impacted environment.
Based on the audio recording, we can deduce that a wildfire occured and as such the smoke produced thereafter, made the natural disaster worse even after it ended.
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Answer:
The Smoke
Explanation:
i got it right on flvs
Consider the numerous pseudoscientific products and ideologies currently being marketed to the public, such as reiki, magnetic therapy, therapeutic touch, and homeopathy. what are the ethical concerns with the sale of these ideas to the public? should proponents of these various products and therapies be held accountable for any health concerns arising from the use of these products? what if the services or products do not cause health concerns or physical harm?
Answers
A) The ethical concerns with the sale of these ideas to the public is ;
Denial of informed choice
B) Proponents of these various products and therapies should be held accountable for any health concerns ( i.e Yes )
Pseudoscientific products and ideologiesPseudoscientific products such as reiki, magnetic therapy and therapeutic touch when used generates harmful radiations in the body which gradually damages vital internal organs in the body although homeopathy is not as harmful as other forms of treatment. Details of these treatments are not clearly given to the targeted consumer to avoid taking responsibilities of the damages.
Hence we can conclude that the answers to the question is as listed above.
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A 5 n force is acting on the charge 6μc at any point. what is magnitude of the electric field at that point?
Answers
The magnitude of the electric field at the given point is 8.33 * 10⁵N/C.
Given the data in the question;
Electrostatic force exterted; [tex]F = 5N[/tex]Charge; [tex]q = 6uC = 6*10^{-6}C[/tex]Magnitude of electric field; [tex]E =\ ?[/tex]Electric FieldThe magnitude of electric field is simply referred to as the force per charge on a test charge.
It is expressed as;
[tex]E = \frac{F}{q}[/tex]
Here, F is electrostatic force exerted and q is the charge.
To determine the magnitude of the electric field at the given point, we substitute our given values into the expression above.
[tex]E = \frac{F}{q} \\\\E = \frac{5N}{6*10^{-6}C} \\\\E = 8.33 * 10^5N/C[/tex]
Therefore, the magnitude of the electric field at the given point is 8.33 * 10⁵N/C.
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