Which expression represents the volume of the prism? 10x3 cubic units 15x2 cubic units 20x3 cubic units 30x2 cubic units

Answers

Answer 1

The expression that represents the volume of the prism is 30x² cubic units.

Option D) is the correct answer.

What is a prism?

A prism is simply a solid geometric with two polygonal faces laying in parallel planes and with the other faces parallelograms.

Volume of a prism is expressed as;

Volume = base area × height

Also, the base area is expressed using the area of a trapezoid.

Hence,

Base area = (1/2) × h( a + b )

Now, let;

h = xa = xb = 2x

Base area will be;

Base area = (1/2) × h( a + b )

Base area = (1/2) × x( x + 2x )

Base area = (1/2) × 3x²

Base area = 3x²/2

Now volume will be;

Volume = base area × height

Volume = 3x²/2 × h

So, let h be 20 units

Volume = 3x²/2 × 20uniit

Volume = 60x²/2

Volume = 30x² cubic units

Therefore, the expression that represents the volume of the prism is 30x² cubic units.

Option D) is the correct answer.

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Related Questions

The water from hot springs near the ebeko volcano in the pacific ocean has a very low ph. what does a low ph indicate about the water?

Answers

The water of the hot spring near ebeko volcano in the Pacific Ocean has low pH, which means that the water is acidic. Acids have low pH.

What is pH?

pH is the measurement of acidic and alkaline of any liquid. The acids have low pH than 7 and bases have high pH than 7.

Low pH water will corrode or dissolve metals and other substance in it.

Thus, the water of the hot spring near ebeko volcano in the Pacific Ocean has low pH, which means that the water is acidic. Acids have low pH.

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Describe in detail the most memorable visual aid you've ever seen used in a presentation. why does it stick out in your memory? how was it used to illustrate a point? what did you learn from this experience?

Answers

Answer:

Explanation:

The most memorable visual aid I have seen used was when a psychology professor used graphic descriptions (through historically important paintings) to illustrate abstract concepts, such as love, madness, and despair.

The representations used in the presentation stuck in my mind because of the visual impact that correlated with my personal experiences, making them vivid and memorable in my mind.

The points illustrated aimed at demonstrating the universality of human passions, and as such, it was an extremely successful presentation.

Finally, what I learned from this experience is that human emotions are not only universal, and as such, they can be represented, but, also, and most importantly, they are emotions that are not abstract concepts, rather, singular and personal experiences to which, paradoxically, everyone is subjected.

Having better access to shelter and has contributed to global population growth.

Answers

Answer:

A better shelter and A. clean water lead to growth of global population.

Explanation:

Availability of a good shelter and clean water both help an individual lead a healthy life. The shelter protects him from external environmental factors that may be harmful to his existence. These factors include sunlight, rains, lightning, etc.

Clean water keeps the water-borne diseases away and helps the individual maintain hygiene which is ultimately necessary for his physical well-being. Thus, the availability of shelters and clean water increase the life expectancy and ultimately result in global population growth.

Answer:

A

Explanation:

edge 22

Find the solution of the square root of the quantity of x plus 3 plus 6 equals 9, and determine if it is an extraneous solution.

Answers

Answer:

[tex] \sqrt{x} + 3 + 6 = 6 \\ ( \sqrt{x}) { }^{2} + 9 + 32 = 81 \\ x = 81 - 9 - 32 \\ x = 40[/tex]

Explanation:

solve for x

April plans on starting a perfume business and decides she needs to first conduct some marketing research. she wants to find out what kinds of perfumes and scents women like to wear from as many women as possible. which data collection method should she use?

Answers

Answer:

Explanation:

Answer C, Survey.

Which system of equations models the paths of the two skaters? y = 0.08x2-1.6x+13 and y = 0.08(x-10)2+5 y = 0.08x2-1.6x+13 and y = 1.6(x-10)2+5 y = 0.08x2-1.6x+13 and y = 0.8(x-10)2+5 y = 0.08x2-1.6x+13 and y = 5(x-10)2+5

Answers

The system of equations models the paths of the two skate is y = 0.08x²-1.6x+13 and y = 5(x-10)²+5. The correct option is b.

What is quadratic equation?

The equation with second degree of an unknown variable x, y, m, n, or p is called the quadratic equation.

David starts at (20, 13) and skates along a path that can be modeled by a quadratic equation with a vertex at (10, 5).

Vertex form of quadratic equation is

y =a (x -h)² +k  where (h,k) is the vertex.

We plug in (10,5) for h and k

y= a (x -10)² +5

Now plug in (20,13) in the above equation and find out 'a'

13 = a (x -10)² +5

13 = a(10)² +5

13 = 100a + 5

Solving for a, we get

a = 0.08

Substitute 0.08 for 'a' then the equation becomes

y= 0.08 (x -10)² +5

Thus, the correct option is b.

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Answer:

A. y = 0.08x2-1.6x+13 and y = 0.08(x-10)2+5

Explanation:

Where you able to give words or phrases associated to grammatical signals

Answers

Answer:

1.cause and effect.

2.the Emphasis is the word and phrases is the in grammatical signals

Grammatical Signals are are lieterary devices that helps the author retain coherence in their work. It creates references between different part of the text using reptition, parallelisms, synonyms etc.

What are examples of Grammatical Signals?

in lieterature, the following phrase verbs act as common grammatical signals:

•Argue

•Assert

•Content

•Observe

•Suggest

•Deny etc.

Of 1000 students surveyed, 490 were boys and 320 had bicycles. of those who had bicycles, 130 were girls. what is the probability that a student surveyed was either a boy or had a bicycle?

Answers

By definition of probability, the probability that a student surveyed was either a boy or had a bicycle is 62%.

Definition of Probabitity

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

Union of events

The union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

The intersection of events, A ∩ B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A ∩ B is verified when A and B occur simultaneously.

Events and probability in this case

In first place, let's define the following events:

A: The event that a student surveyed was a boy.B: The event that  a student surveyed had a bicycle.

Then you know:

P(A)= [tex]\frac{490}{1000}[/tex]=0.49= 49%P(B)= [tex]\frac{320}{1000}[/tex]= 0.32= 32%P(A and B)= P(A∩B)= [tex]\frac{190}{1000}[/tex]= 0.19= 19% [320 students had bicycles. Of those who had bicycles, 130 were girls. Then, 190 were boys.]

In this case, considering the definition of union of eventes, the probability that a student surveyed was either a boy or had a bicycle is calculated as:

P(A∪B)= P(A) + P(B) -P(A∩B)

P(A∪B)= 0.49 + 0.32 -0.19

P(A∪B)= 0.62= 62%

Then, the probability that a student surveyed was either a boy or had a bicycle is 62%.

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The security classification guide (scg) states: (u) mission (c) personnel (u) location (s) mission and location the new document states: bravo company will be departing on 1 september for exercise peace keeper. the exercise will be a joint effort with the army and the marine corps. both forces will meet in qatar to complete the exercise. which concept was used to determine the derivative classification of the new document?

Answers

The security classification guide (SCG) is a comprehensive guideline. The new document will be classified as 'S' and use the secret concept to define the derivative classification.

What is Security Classification Guide?

Security Classification Guide (SCG) is the complete collection of the system, specific program, and weapon system. It is used to make classified documents.

The document will be classified 'S' as it states the mission will be jointly done by corps and army and the location will be delivered on the day of the departure.

Therefore, the new document will be classified as 'S.'

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What is the second largest factor of thirty-eight?

Answers

All the factors of 38 are 1, 2, 19, and 38.

The primes are 2 and 19.

The second largest prime factor is 2 .

Make suggestions on how cyber savvy campaign could overcome public apathy to deal with human rights violation

Answers

Answer:

make human right campaigns

Explanation:

A human rights violation is the disallowance of the freedom of thought and movement to which all humans legally have a right. While individuals can violate these rights, the leadership or government of civilization most often belittles marginalized persons. Abductions, arbitrary arrests, detentions without trial, political executions, assassinations, and torture often follow. In cases where extreme violations of human rights have occurred, reconciliation and peacebuilding become much more difficult.

Speak up for what you care about. ...

Volunteer or donate to a global organization. ...

Choose fair trade & ethically made gifts. ...

Listen to others' stories. ...

Stay connected with social movements. ...

Stand up against discrimination.

After gaining independence from portugal, brazil became more modernized. please select the best answer from the choices provided t f

Answers

Answer:

yes the answer is true because after their independence brazil started to modernized everyday stuff etc.

Explanation:

A random drawing will determine which 3 people in a group of 9 will win concert tickets. what is the probability that you and your 2 friends will win the tickets? express your answer as a fraction in simplified form.

Answers

The probability that you and your 2 friends win the tickets is P = 1/84.

How to determine the probability?

There are 9 possible outcomes, 3 of which are you and your friends.

All of these outcomes have the same probability of being randomly selected, then the probability of winning is given by the quotient between the number of "outcomes" that you have and the total number of outcomes.

Let's say that the outcomes are pieces of paper with the names of the participants.

First draw:

In this one, there are 3 possible options that work, one is your paper, and the other two are for your friends.

So the probability is 3/9 = 1/3.

Second draw.

One of your group already won, so now there are 2 of you, and a total of 8 pieces of paper, so this time the probability is 2/8 = 1/4

Final draw:

Only one of you remains, and there is a total of 7 pieces of paper, this time the probability is 1/7.

The joint probability (of these 3 events happening in succession) is given by the product of the individual probabilities:

P = (1/3)*(1/4)*(1/7) = 1/84

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Convert the following complex number into its polar representation -4i

Answers

The expression which represent the polar form of complex number -4i when converted into the polar form is 4(cos π+ isin π)

What is complex number?

A complex number is the combination of real and imaginary number. In a complex number, real part and imaginary part of number is written together. For example,

a+bi

Here, (a) is the real part while (b) is the imaginary part.

The complex number which need to convert into its polar representation is,

n=-4i

It can be rewritten as,

n=0-4i

The radius r of the polar form is,

r²=0²+(-4)²

r²=0+16

r=4

The value of cos theta is,

tan θ=0/-4

θ=tan⁻¹(0)

θ=π

Thus, the polar form is,

z=rcos θ+(r sin θ)i

z=-4(cos π+ isin π)

Thus, the expression which represent the polar form of complex number -4i when converted into the polar form is 4(cos π+ isin π)

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In which type of echinoderm are tube feet not used for movement? sea star brittle star sea urchin sea cucumber

Answers

Answer:

brittle star

Explanation:

hi <3

can you give me a brainliest please

I hope I hellpted you

Answer:

b

Explanation:

brittle star

Amaya is writing an argumentative essay on how the columbian exchange expanded the european economy. which source would most likely provide relevant evidence?

Answers

Answer:

Explanation:

Answer: the second one, aan article from www.europeanhistory.net that was updated in 2008.

i’d say an article in the Journal of European History

This source isn't very recent (but it doesnt need to be because Amaya is writing about the history of Europe), but we do know that it was updated, which implies that more relevent information was posted. The information is coming from a trustworthy source (we know this because of the url the article is from), so is likely very relevent and relaible. The last source is irrelevent becasue it's abput a carmaker who had/has nothing to do with the Columbian Exchange, and the first source is from a journal (we don't know who the journal belongs to, or what kind of information is in it).

Which piece of evidence best supports the idea that monkey man has influenced

Answers

Answer:

yes

Explanation:

yes...

Which quotation from the passage provides evidence of the implied claim

Answers

Answer:

a, we mutually pledge to each other our lives, our fortunes, and out sacred honor

The shortest sides of two similar polygons have lengths in the ratio 2:5. the perimeter of the smaller polygon is 20. the perimeter of the larger polygon is 125 100 50

Answers

Answer:

A similar triangle has the same ratio on every side, so that means the perimeter has the same ratio as well. Set up the proportion: 2/5 = 20/xmultiply the means and extremes to get2x = 100divide both sides by 2x = 50The perimeter of the larger polygon is 50

Explanation:

Not sure if this is right but hope this helped!

This data gives the average number of hours different students spend on the computer each day. average time (h): 1.6, 2.0, 2.0, 2.0, 1.8, 1.8, 1.5, 2.0, 1.9, 1.6, 1.9, 1.7, 1.6, 1.6, 2.0, 1.8, 1.5, 2.0 create a line plot to display this data. to create a line plot, hover over each number on the number line. then click and drag up to plot the data. students weekly computer time 1.5 1.6 1.7 1.8 1.9 2.0 average time (h) 0 1 2 3 4 5 6 7 8 y label

Answers

what is the question? is there a picture

This is a map that shows hot spots around the world. which phrase describes the formation of the hawaiian islands? formed due to subduction formed in the middle of a plate formed at a divergent boundary formed at a convergent boundary

Answers

The phrase describes the formation of the Hawaiian islands is formed due formed at a convergent boundary.

What type of plate boundary is forming the Hawaiian Islands?

The Convergent plate boundaries is known to be subduction zones" and it is said to be the place where the Pacific Plate is said to be subducted by the North America Plate.

The phrase describes the formation of the Hawaiian islands is formed due formed at a convergent boundary.

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Answer:
it's d
Explanation:
I took the test

Linda just got approved on an arm mortgage. what is true?

Answers

Answer:

Her interest will be fixed.

Explanation:

How does stanza 5 contribute to the speaker's depiction of their experiences (lines 17-20)? it portrays them as overcoming their emotional turmoil. it depicts them as not being able to make sense of anything. it emphasizes the advanced outlook on the world they now have. it shows how pessimistic their experiences have made them.

Answers

Stanza 5 contributes to the speaker's depiction of their experiences by portraying them as overcoming their emotional turmoil.

What is a Stanza?

This is defined as series of lines in a group which divides a poem as in the case of stanza 5 which contains the following below:

"And then a Plank in Reason, broke,

And I dropped down, and down....."

This helps to portray speaker's experience as overcoming their emotional turmoil which is why option A was chosen.

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How many grams of calcium oxide will be produced in a closed vessel containing 20.0 kg of calcium and 20.0 kg of oxygen gas if the reaction goes to completion? (atomic mass of calcium = 40.1 amu)

Answers

Answer:

Explanation:

The mass of Calcium oxide that will be produced in a closed vessel is 27984.1311 g. The Number of moles is defined as given mass over molar mass.

Calculation of Number of moles:

Number of moles = Given mass / Molar mass

For Calcium :-

Mass of calcium = 20.0 kg = 20000 g ( 1 kg = 1000 g )

Molar mass of calcium = 40.078 g/mol

Thus,

Number of moles = 20000 g / 40.078 g/mol

Number of moles = 499.02 moles

For oxygen gas :-

Mass of oxygen gas = 20.0 kg = 20000 g ( 1 kg = 1000 g )

Molar mass of oxygen gas = 31.999 g/mol

Thus,

Number of moles = 20000 g / 31.999

Number of moles = 625.19 moles

According to the given reaction:

2 moles of calcium reacts with 1 mole of oxygen gas

Also,

1 mole of calcium reacts with 1/2 mole of oxygen gas

So,

499.0269 mole of calcium react with  mole of oxygen gas

Moles of oxygen gas = 249.5135 moles

Available moles of oxygen gas = 625.0195 moles

Limiting reagent is the one which is present in small amounts. Thus, calcium is limiting reagent.

The formation of the product is governed by the limiting reagent. So,

2 moles of calcium produces 2 moles of calcium oxide

So,

1 mole of calcium produces 1 mole of calcium oxide

Also,

499.0269 moles of calcium produces 499.0269 moles of calcium oxide

Moles of calcium oxide = 499.0269 moles

Molar mass of calcium oxide = 56.0774 g/mol

Mass of calcium oxide = Moles × Molar mass = 499.0269 * 56.0774 g = 27984.1311 g  

27984.1311 g of calcium oxide will be produced.

What is the overall purpose of queen elizabeth's address

Answers

Answer:

the passage from her address to the troops at Tilbury, Queen Elizabeth I makes appeals to ethos and pathos. To encourage her troops, she explains that she supports and relies on them, and she tries to stir their feelings of loyalty toward her.

Review the excerpt from tennyson's "lady of shalott, then answer the question. willows whiten, aspens quiver, little breezes dusk and shiver thro' the wave that runs forever by the island in the river flowing down to camelot. four gray walls and four gray towers, overlook a space of flowers, and the silent isle embowers, the lady of shalott. how many feet are used in each of the first 4 lines? feet

Answers

Based on the excerpt from Tennyson's "Lady of Shalott," the number of feet that are used in each of the first 4 lines is 4 feet.

What is a poem?

A poem can be defined as a literary work that's made up of either written words which are carefully chosen and arranged in separate lines, especially based on their sound (diction), rhythm, and meaning.

Based on the excerpt from Tennyson's "Lady of Shalott," we can logically deduce that the number of feet that are used by the poet in each of the first 4 lines is 4 feet.

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Why was william carlos williams considered an imagist in his early career?

Answers

William Carlos Williams considered an imagist in his early career as He is known for his visual image that was intricate and complex.

What was William Carlos Williams known for?

He was known to be a popular figure and he was also a medical doctor, poet, novelist, and others.

Based on the above, William Carlos Williams considered an imagist in his early career as He is known for his visual image that was intricate and complex and thus made him to be very unique.

See full question below

Why was William Carlos Williams considered an Imagist in his early career?

His visual imagery was intricate and complex.

He created short, simple poems focused on a single image.

He applied traditional forms to photographic descriptions.

His technique was too sophisticated to be Modernist.

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Write a formal persuasive e-mail to a community leader to address a social concern. read more >>

Answers

A persuasive essay is an argumentative writing that can be used to prove that an idea is correct using a reliable source.

What can be a social concern of a community?

A social concern in a community can be those activities or materials that are lacking in a society that would have helped in the basic needs of its occupants.

Example of some basic needs that can cause social concern include:

Clean Water supply,

Electricity,

Health facilities and equipment.

Also note that you should address your complaints stating the reason why the lacking needs should be met.

The email should be written as follows,

Sir,

I, a member of your community, would love to use this opportunity to appreciate your wonderful works in our community. Your goodness has been a source of inspiration to us all.

In as much as we have received alot of basic needs from your leadership, however, lack of constant clean water supply has constantly posed a threat to our health.

It would mostly be appreciated if this need is urgently addressed by your administration.

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Shira wants to do well on her next test so her grade in the class does not fall. this is an example of which type of motivation? intrinsic intuitive extrinsic internal

Answers

Answer: I THINK it is b

Explanation:

Answer:

its A

Explanation:

theyre motivated by their own internal reasons

Make a slogan expressing the importance of synthesis in writing

Answers

The slogan is " understanding literature through synthesis". Check more about the importance of writing below.

What is the importance of synthesis in writing?

Synthesis is known to be the one that uses both information that has been paraphrased and also the one where the writer uses other information obtained from a lot of  sources.

Note that Synthesis depicts more about scholarship as well as it also tell more about an  understanding literature  and other kind of information.

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On the daily run of an express bus, the average number of passengers is 48. The standard deviation is 3. Assume the variable is normally distributed. Find the probability that the bus will have; a. Between 36 and 40 passengers. b. Fewer than 42 passengers. c. More than 48 passengers. d. Between 43 and 47 passengers. The midpoint of overline AB is M(-4, 0)M If the coordinates of A are (-6, 6) what are the coordinates of B? What are some of the options available when previewing a worksheet before printing? Check all that apply.applying stylesadjusting marginsinserting imageszooming in and outnavigating through pagesadding functions Which is the best revision of the underlined portion of the sentence? to give homeless people a vacation from their suffering. to give homeless people relief from their everyday hardships. to give homeless people a break from what they have to deal with every day. to give homeless people relief from the stuff they have to deal with every day. The stems of a(an)_____do not form wood. Please answer my questions. I really need them soon. I will post the links for other questions in the comments. Question 2: write a program for smart garage system using:2 IR obstacle sensor, relay & LCD.The garage have 25 space to 25 car & have also two doors entrance & exist; first IR sensor onentrance and second IR sensor on exist. This system counts how many empty spaces for parking.When the car enters the sensor on entrance activate & the counter decreases, when the car exists thesensor on exist activate & the counter increase. Use LCD to print how many empty spaces in thegarage, and finally when the garage full the LCD must print this message "Garage Full "and therelay close to shut down the entrance door. A bat flew directly toward its cave at a constant velocity for 0.4seconds. It flew 80 centimeters in that time. What was its velocity? Which of the following accurately describes medieval villeins? They enjoyed very little freedom compared to others, being practically slaves. They were lords who were considered unchivalrous in their treatment of their vassals. They were an extremely small portion of the western European population. They universally received fewer protections than landless peasants. After providing initial treatment to a patient with syncope, the medical assistant may need to assess and treat the patient for which of the following possible causes of syncope? please answer this question ladder reaches a window 18 ft high,and makes a 64 angle with theground. How long is the ladder?Round your ancun What is 6 3/4 % of $7,600.00A. 513B. 520C. 456D. 479.25E. 550 The expression above can also be written in the form a=, b=,c=. 3 6/5The expression above can also be written in the form .For this expression, a = , b = , and c = . help asap please!! What is the acceleration of a 100 kg object pushed by Beau with a force of 500 N? Write out your equation. how do i do this?? thanks in advance! Dalia has a jar with 6 red pencils and 4 green pencils. She will randomly pick two pencils without replacement. What is the probability that Dalia will pick two red pencils?6/251/39/252/5 Which number is a factor of the prime factorization of 60?39156 The diagram below shows two substances. What name is given to bond X?