A searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb is located at the focus of the parabola in order to give the best illumination. The mirror is modeled by y2 = 20(x – 10), where the measurements are in cm. What is the location of the light bulb?

(10, 0)
(20, 0)
(12, 0)
(15, 0)

Answers

Answer 1

The location of the light bulb is (15, 0)

A concave mirror that has been specifically designed to capture and concentrate energy on a particular area is known as a parabolic mirror.

What is parabolic mirror ?A reflective surface used to collect or project energy such as light, sound, or radio waves is known as a parabolic (or paraboloid or paraboloidal) reflector, dish, or mirror. Its form is a component of a circular paraboloids, or the surface produced by a parabola rotating around its axis.Parabolic mirror whose equation is z=a(x2+y2), where a=1, and whose symmetry axis coincides with the z-axis. The reflection property of a rotating paraboloid, which is used in satellite dishes and car headlights, is a remarkable property.A concave mirror that has been specifically designed to capture and concentrate energy on a particular area is known as a parabolic mirror.

y² = 2px

The focus is (p/2, 0)

x- 10 = u

y2 = 20u

So, the focus for U  =  ( ; 0)

The focus for x =  ( ; 10, 0)

= 5 , 10, 0

= (15, 0).

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Related Questions

A man is carrying a Turkey Sandwich from Subway all while he is dodging the dog toys on the floor and being careful not to step on the two 75 pound dogs sleeping on the carpet. As he is making his way to his Lazy Boy, he accidently stubs his toe on the coffee table. Immediately, he begins to jump up and down on one foot to avoid stepping on the injured toe, throwing his sandwhich in the air, subseqiently scaring the dogs.
Explain the neural transmission of the pain signal using the following terms:

Sensory Neuron
Peripheral Nervous System
Interneuron
Motor Neuron
Action Potential
Neurotransmitter
Synapse

Answers

When a person stubs their toe, sensory neurons in the brain convey information to the processing region via the Peripheral Nervous System - PNS. Sensory neurons carry data from the senses to the brain.

The Peripheral Nervous System (PNS) connects sensory and motor neurons to the brain (brain and spinal cord). These sensory neurons travel this path to the brain's processing center after perceiving an action potential.

When the neuron receives enough excitatory inputs to reach the threshold, the cell produces a chemical/electrical signal. This signal communicates with adjacent neurons via the synapses that link them. This action potential will continue to spread until it reaches the brain.

The region of the brain responsible for information processing creates a signal using interneurons, which are neurons that govern the communication between sensory and motor neurons and sends it to motor neurons.

In the motor neurons, an action potential is formed, which transmits information telling us to jump up and down in pain. Endorphins, our bodies' natural pain relievers, are produced in the brain as a response of receiving a signal from sensory neurons, allowing the sense of pain to lessen.

Endorphins are our body's natural pain relievers, which, upon receiving signals from sensory neurons, release neurotransmitters in the brain, thereby reducing the sensation of pain.

What is Peripheral Nervous System?

The peripheral nervous system is one of two elements of bilateral animals' nervous systems, the other being the central nervous system. The PNS is made up of nerves and ganglia that are located outside of the brain and spinal cord.

Peripheral nerve problems cause information delivered between the brain and the rest of the organs to be distorted or interrupted. This can lead to:

Cramps that hurtNumbnessMuscle fatigue (most common symptom)Tingling or scorching sensations

Peripheral nerves, unlike the brain and spinal cord, may regenerate after damage. However, surgery is frequently necessary to reconnect the peripheral nerves and restore mobility and feeling.

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i know the answer it is 13.5

Answers

Answer:

If the answer is 13.5 then the answer is 13.5

Explanation:

Well, first we have to start off with 13.5 = x in order to find it later on.

Then we can do operations to both sides

13.5 = x

27 = 2x

27²=4x²

729 = 4x²

then if we subtract 4x² from both sides we can use the quadratic formula to derive x

-4x² + 729 = 0

Where a = -4, b = 0 and c = 729

plug it in to the quadratic formula

x = (-b±[tex]\sqrt{b^{2} -4ac}[/tex]) / 2a

x = (-0±[tex]\sqrt{(0)^{2} -4(-4)(729)}[/tex]) / 2(-4)

x = (-108)/-8  = 13.5

There we go! there's our answer

what is a key difference between the popular spaceship framework and garett hardin's lifeboat framework

Answers

Based on computer technological analysis, the key difference between the popular Spaceship Framework and Garrett Hardin's Lifeboat Framework include differences in the quantity of resources.

Spaceship and Lifeboat

Spaceship is a spacecraft device especially one controlled by a crew to travel through the space.

Lifeboat on the other hand is a small, rigid or inflatable boat carried for emergency evacuation in the situation where there is a disaster aboard a ship.

Differences between the popular Spaceship Framework and Garrett Hardin's Lifeboat FrameworkThe spaceship framework usually do not have enough resources for everyone on Earth while the lifeboat framework usual have sufficient amount of resources but it is meant for everyone.The spaceship model compares the Earth to a spaceship and indicates to hoard resources when sharing the lifeboat model sees the Earth as a lifeboat and preaches to share the resources.The spaceship framework reveals that the resources will run out eventually. The lifeboat framework believes the opposite and indicates that they will never run out.The spaceship framework shows that the resources are limited and are of high quality while the lifeboat framework says that the resources are in abundance but are of low quality.

Hence, in this case, it is concluded that there are differences between the popular Spaceship Framework and Garrett Hardin's Lifeboat Framework

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Henry is suffering from loose, watery stools, abdominal cramps, fever, bloating, and nausea that has lasted several weeks. What disorder is he experiencing?
Chronic constipation
Peptic ulcer
Chronic diarrhea
Inflammatory bowel disease (IBD)
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Answers

Answer: Chronic Diarrhea

Explanation:

The disorder that Henry is suffering is Inflammatory bowel disease (IBD). The correct option is D.

What is Inflammatory bowel disease (IBD)?

Irritable bowel syndrome is a common, long-term digestive condition. Stomach cramps, bloating, diarrhea, and/or constipation are common symptoms. Although the symptoms may change over time, the condition is often lifelong.

Irritable bowel syndrome, also known as the gastrointestinal tract, is a common disorder that affects the stomach and intestines.

Cramping, abdominal pain, bloating, gas, and diarrhea or constipation, or both, are common symptoms. IBS is basically a chronic condition that requires long-term management.

There is no test for IBS, but you may require some to rule out other potential causes of your symptoms.

A blood test to rule out problems like coeliac disease may be arranged by the doctor. tests on a stool sample to look for infections and inflammatory bowel disease (IBD)

Thus, the correct option is D.

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A student is studying the effect of testosterone in a specific signal transduction pathway. The student is using a special cell line that only contains testosterone receptors. Unfortunately, the student made an error when culturing the cells and all of the cells died! Thankfully a fellow classmate offered for the student to use their cell line. It is not the same cell line and does not contain the receptors that the student was studying. The student, however, points out that this is fine because there are other receptors that testosterone can bind to. Do you agree with this statement? Why or why not?

Answers

I disagree with this assertion because I think they should have used their testosterone or transduction instead.

What is testosterone?

Testosterone is defined as a hormone that is in charge of many of the physical traits that are unique to mature men.  Bone density is maintained by testosterone. dispersion of fat. muscle mass and strength. Your "bad" cholesterol levels will rise as a result of increased testosterone, which could cause cardiac problems that could end in a heart attack, cardiovascular disease, or stroke.

Most frequently, testosterone is connected to men's sex drive. It also has an impact on red blood cell synthesis, bone and muscle mass, mental wellness, and fat storage. A man's mental and physical health might be impacted by abnormally low or high levels. A quick blood test can be used by your doctor to determine your testosterone levels.

Thus, I disagree with this assertion because I think they should have used their testosterone or transduction instead.

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In this activity, you'll be writing an essay that presents an argument that uses and cites multiple sources (synthesis).

In Tinker v. Des Moines, the issue under debate was whether the armband is an expression protected by the Constitution. If it is, then the school authorities acted unconstitutionally in suspending the students who wore them. If it is not, then the school authorities acted constitutionally.

Answers

A well-known case that outlined the drawbacks of the rights guaranteed by the First Amendment of the US Constitution is Tinker v. Des Moines Community School District."In this instance, despite a specific regulation from the school administration prohibiting it, many students were adamant about wearing black armbands to remember the Vietnam War martyrs.

What is about First Amendment  for school management?"In this instance, despite a specific regulation from the school administration prohibiting it, many students were adamant about wearing black armbands to remember the Vietnam War martyrs.The Supreme Court ruled that colleges may only prohibit the expression of ideas or beliefs on campus if they can demonstrate that doing so will disrupt the learning environment. The overwhelming majority of judges came to the conclusion that there was no convincing evidence that wearing armbands interfered with students' ability to learn.Therefore, the rights of pupils guaranteed by the US Constitution could not be restricted by school management."

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Tinker v. Des Moines Community School District is a well-known case that demonstrated the limitations of the liberties protected by the First Amendment of the US Constitution. In this case, several students were enthusiastic about wearing black armbands to honor the Vietnam War martyrs despite an explicit rule from the school administration barring it.

What is about First Amendment  for school management?"In this case, many students were adamant about wearing black armbands to honor the Vietnam War martyrs despite an explicit rule from the school administration barring it.The Supreme Court concluded that universities may only restrict free speech if they can show that doing so will interfere with the atmosphere in which students learn. The vast majority of the judges came to the opinion that there was insufficient proof to support the claim that armbands hindered students' capacity to learn.Therefore, school administration was not allowed to limit the rights of students that were protected by the US Constitution."

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Explain the causes of British colonization in North America, and how it benefited England.

Answers

Answer:England benefited financially from the relationship with its North American colonies.

Explanation:This

happened because Britain encouraged these settlements, benefiting from the vast array of raw materials the colonies found and cultivated

Using the following schedules, graph a supply and demand curve for hybrid vehicles. Label all the important parts of the graph, including the axes, the supply and demand curves, and the market equilibrium point. Now, suppose that the government puts a price ceiling on hybrid vehicles, declaring that standard-sized models can cost no more than $15,000. Using your graph, add in and label the price ceiling. What problem will eventually result from this governmental action? What is the market solution to the problem? Please explain.

Answers

The supply and demand curves and their respective schedules for the Hybrid Car are labeled and attached accordingly.

The price ceiling is also indicated Due to the governmental action, it is clearly shown on the graph that there is a drop in the equilibrium quantity Supplied (leftwards) and an upward spiral in the equilibrium quantity demanded.

The market solution is simply to lift the ceiling. Another alternative solution would be for the government to subsidize production so that suppliers can find it profitable and more attractive to supply at the price ceiling.

What is a price ceiling?

A price ceiling is a price limitation, or limit, established by the government or a group on how much a product, commodity, or service costs. Price limitations are reportedly used by governments to safeguard consumers against situations that may make items too expensive.

In general, price caps are intended to make it less expensive for consumers to partake in the market. Rent limits, for example, are set to guarantee that each person has a reasonable place to live and rent.

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Martin is a sixth-grade teacher who feels he is not able to connect with some of his students. Several of them have had academic problems in the past and although Martin feels that they can do the work, he believes that these students have given up. Explain how Martin could use each of these concepts to learn how best to help his students succeed.
External locus of control
Self-control
Learned helplessness
Intrinsic motivation

Answers

In the case of Martins, External locus of control -Those with an external locus of control are more likely to think they have the ability to shape their own future. Martin could talk to his students about their own strength and encourage them to have more self-confidence.

What about self control?

Self-control is the capacity to restrain impulses and postpone immediate gratification in favor of longer-term benefits. It calls for focus and effort. Martin could instruct the students on how to improve and fortify their willpower.

Learned helplessness- There's a chance that Martin's students have learned helplessness. The students might think that no matter how hard they work, they will never succeed. Martin might let the students pick the courses they want to take in order to give them a sense of control.

Therefore, in  Intrinsic motivation- Martin could assist his students in developing intrinsic motivation by emphasizing personal pride and inner fulfillment over academic performance. He might assign the kids interesting projects.

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What are two of the reasons certain parts of the earth have cold and warm seasons? (

Answers

On Earth, we have four seasons in a year. The four seasons are Summer, Fall, Winter and Spring. We have a warm climate in Spring and Summer and a cold climate in Winter and Fall. Generally, Spring comes in March, April and May, Summer in June, July and August, Autumn or Fall in September, October and November and Winter in December, January February.

The two main reasons that the earth has cold and warm seasons are listed below:

Earth spins on an axis giving us day and night. The Earth's axis is tilted at the beginning of each season. This tilt in the axis causes different seasons in different parts of the Earth.The Earth's orbit around the sun is also one of the reasons that Earth has seasons.

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Country X wants to increase GDP by $100 via consumer spending. To achieve this how much should they cut taxes by if MPC= .8

Answers

If the income in the country X rises by $100 million and the MPC is 0.8, consumption in the country rises by $80 million.

What is MPC?The marginal propensity to consume (MPC) is a measure of how much extra income is spent on consumption. In economics, the marginal propensity to consume (MPC) is defined as the proportion of a pay increase that a consumer spends on goods and services rather than saving.

Here the company increases GDP  = $100 .

Also given MCP = 0.8

To find tax cut off = GDP X MPC.

                              = 100 X .8

                              = $80

If the income in the country X increases by $100 million and the MPC is 0.8, consumption in the country increases by $80 million.

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The evidence used in your debate
*
Claim
Warrant
Data
Impact

Answers

The evidence used in your debate is Claim.

What is Evidence?

A piece of information that backs up a claim is called evidence. The traditional illustration comes from the legal system: means, motive, and opportunity.

In debate, arguers can( and should) debate the quality of particular pieces of substantiation. There are a number of ways they can debate that substantiation.

Character of the source. Some sources have a stronger character than other sources. For illustration, the Washington Post has a stronger character than National Enquirer.

Source bias: All sources have a degree of bias, but some are more prejudiced than others. For illustration, the Global Times is a review published by China’s government and reflects its point of view. The South China Morning Post is published in Hong Kong and has a slightlyanti-China bent, though it was lately acquired by China’s Jack Ma, and some say the accession was done to reduce theanti-China spin. In the US, the Washington Post is possessed by Jack Bezos( Amazon author) and some say it reflects his points of view on matters.

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