A child looks at his reflection in a spherical Christmas tree ornament 8.0 cm in diameter
and sees the image of his face is reduced by one-half. How far is his face from the
ornament?

Answers

Answer 1

Answer:

The face of the child is 3.0 cm from the ornament.

Explanation:

Diameter of the ornament = 8.0 cm

radius = [tex]\frac{diameter}{2}[/tex]

          = [tex]\frac{8.0}{2}[/tex]

radius = 4.0 cm

But,

focal length of the ornament (f) = [tex]\frac{r}{2}[/tex]

                        = [tex]\frac{4.0}{2}[/tex]  = 2.0

So that,

f = 2.0 cm ............... 1

Also,

Magnification = [tex]\frac{Image distance}{Object distance}[/tex]

[tex]\frac{1}{2}[/tex] = [tex]\frac{v}{u}[/tex]

v = 2u ............. 2

Substitute equations 1 and 2 in the mirror formula,

[tex]\frac{1}{f}[/tex] = [tex]\frac{1}{u}[/tex] + [tex]\frac{1}{v}[/tex]

[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{u}[/tex] + [tex]\frac{1}{2u}[/tex]

  = [tex]\frac{2 + 1}{2u}[/tex]

[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{2u}[/tex]

6 = 2u

u = [tex]\frac{6}{2}[/tex]

u = 3.0 cm

Thus, the face of the child is 3.0 cm from the ornament.


Related Questions

Realice una línea de tiempo en orden cronológico de los siguientes Científicos que
estudiaron y aportaron sobre el origen de la vida:

● Aristóteles
● Jan Baptiste Van Helmont
● Francisco Redi
● Lazzaro Spallanzani
● John Needham
● Louis Pasteur
Utilice cualquier herramienta digital que le sea útil para completar su proyecto.
Cada científico debe tener detallado:
● Principal investigación referente al origen de la vida.
● Pensamiento sobre el origen de la vida.
● Descripción de la época en la que vivía.
● Opinión individual sobre el pensamiento que tiene el científico.

Answers

Answer:

Explanation:https://www.pinterest.com.mx/pin/835065955894197434/

why would life outside of the earth be so important to us? ​

Answers

Because if something happened to earth we would need another resource to survive outside of earth

why do you think that squirrel is better suited for the environment? Explain your reasoning

Answers

Squirrels often get a bad rap. They raid bird feeders. They can chew through just about anything. They dart out in front of cars.But, while sometimes inconvenient for humans, this oft-labeled “nuisance” animal has a lot to offer, according to a University of Florida researcher who studies squirrel ecology.Squirrels are some of the most visible wildlife in our modern urban and suburban settings, and they are a vital part of the ecosystems they inhabit,” said Robert McCleery, an associate professor in the department of wildlife ecology and conservation in the UF Institute of Food and Agricultural Sciences.Also,They chew for a reason The reason they are chewing on things is because they have incisors front teeth that are always growing,” McCleery explained. “If they don’t chew on something, their teeth are going to grow into their lower jaw and skull.” To avoid that, squirrels will chew on anything that helps wear down their teeth.They are nature's gardeners.Squirrels have an important ecological role, especially in forest ecosystems, McCleery said.Their biggest contribution to the forest is in shaping plant composition. They have a peculiar habit of taking seeds, which are their main source of nutrients, and burying them. They bury them throughout the environment, and often, when they go back and look for them, they forget where they are. When that happens, they are effectively planting seeds,” McCleery said.Over time, this behavior, called caching, changes the composition of a forest.They will expand forests and change the types of trees that are there,” he said. In Florida, for example, they have an important role of maintaining the native long-leaf pine ecosystem, McCleery said.They have some zany behaviors that are entertaining to watch.Squirrels have some behaviors that may be puzzling to humans, McCleery said.For example, if you see a squirrel rubbing its face on an acorn, that’s the squirrel marking the seed with its scent, increasing the chances it will find it later.

what are the disadvantages of using models such as diagrams study the rock cycle?

Answers

Answer:

It doesn't exactly cover everything

Explanation:

brainliest?

For a typical human aorta, the diameter of the lumen is 30 mm and the thickness of the wall is 4 mm. Assuming a blood density of 1.06 gm/cc and a viscosity of 0.035 Poise, calculate the Womersley number if the heart rate is 70 bpm. Diameters for the carotid and femoral arteries of a typical human are about 0.8 cm and 0.5 cm, respectively. Compute the Womersley numbers for each of the arterial segments for the same heart rate and explain if the flows can be assumed steady or not.

Answers

Answer:

Womersley numbers :  22.25 , 5.96 , 3.72

Explanation:

Calculate the Womersley number if the heart rate = 70 bpm

For the Human Aorta

∝ = r [tex]\sqrt{\frac{wp}{u} }[/tex]  ------ ( 1 )

r = radius  = 15 mm = 0.015 m

w = 2πf = 2 * π * 70 = 439.82

p = density of blood = 1060 kg/m^3

u = 0.035 P = 3.5 cp = 3.5 * 10^-3 Ns/m^2

Back to equation ( 1 )

∝ = 0.015 * [tex]\sqrt{\frac{439.82*1060}{60*3.5*10^{-3} } }[/tex] = ( 0.015 * √466209.2 / 0.21 )  = 22.35

 For Carotid artery

r = 0.8 cm / 2 = 0.4 cm = 0.004 m

w = 2πf  = 439.82

Womersley number =  ( 0.004 * √466209.2 / 0.21  )

                                = 0.004 * 1489.981 = 5.96

For Femoral artery

r = 0.5 cm / 2 = 0.25 cm = 0.0025 m

Womersley number = 0.0025 * √466209.2 / 0.21  )

                                = 0.0025 * 1489.981 = 3.72

The flow is unsteady because of the varying Womersley numbers

why might patients who go into remission get a different type of cancer?​

Answers

Answer:

Remission can be partial or complete. In a complete remission, all signs and symptoms of cancer have disappeared. If you remain in complete remission for 5 years or more, some doctors may say that you are cured. Still, some cancer cells can remain in your body for many years after treatment.

Match the medical professionals to the disorders they are likely to treat. pancreatitis diabetes colon cancer peptic ulcer disease proctologist arrowRight hepatologist arrowRight gastroenterologist arrowRight endocrinologist arrowRight

Answers

Answer:

Proctologist > Diabetes

Hepatologist > Pancreatitis

Gastroenterologist.> Colon Cancer

Endocrinologist. > Peptic Ulcer Disease

what is angiosperm in plant

Answers

Answer: a plant that has flowers and produces seeds enclosed within a carpel. The angiosperms are a large group and include herbaceous plants, shrubs, grasses, and most trees.

Explanation:

I need help plz help me

Answers

Answer:

T and A are together

G and C are together

Explanation:

these pairs will always connect to each other

What does this model most likely represent?

Answers

Answer:

a model is a representation of an idea, an object or even a process or a system that is used to describe and explain phenomena that cannot be experienced directly

compare and contrast how the proportion "better" and "inferior" trait changes over time in a environment.



please explain

Answers

Rockstar life bikers and chains
One carat drip down the fang
Is runnin deep thru my veins
Taking em healing the pain!

Answer:

i think better and inferior  trait changes of the years we live on this earth  

Explanation:

because lots of people try to study  about eveything so they can write things about it

BEST ANSWER GETS BRAINLIEST!!!!!!!!!!!!!!!

An organism, by definition, consists of multiple cells.

True
False

Answers

Answer:

true

Explanation:

yw can u help me with my question plsss

The answer is true, organisms do consist of multiple cells

HELP!! Examine the model depicting the relationship between photosynthesis and cellular respiration. Select ALL of the choices that correctly pairs products and reactants with their place in the model. A) A: ATP B) B: water and oxygen C) B: water and carbon dioxide D D: carbon dioxide and ATP E) D: oxygen and glucose​

Answers

There are ways to Examine a model. The options that correctly pairs products and reactants with their place in the model are;

A) A: ATP

B) B: water and oxygen

D D: carbon dioxide and ATP

What are products and reactants?

A combination reaction is known to be a type of reaction where two reactants combine to form one product.

Oxygen and the halogens are known to be highly reactive elements and may undergo combination reactions with other known elements.

Learn more about products and reactants from

https://brainly.com/question/13677872

Answer:

ACE

Explanation:

Prisms produce the colors of the rainbow through?

A. Reflection.

B. Refraction.

C. Scattering.

D. Absorption.

Answers

Answer:

It should be B

Explanation:

I hope this helps

Can you guys help me

Answers

survival of the fittest

Analise as alternativas abaixo e assinale a INCORRETA sobre o sistema nervoso. *

Um neurônio motor atua nos músculos, recebendo estímulos.
Os receptores sensoriais percebem estímulos.
Na resposta involuntária, o estímulo recebido não é processado no cérebro.
Neurônios associativos conectam neurônios sensitivos aos neurônios motores.
Os nervos conectam o cérebro ao corpo.

Answers

Answer:

Na resposta involuntária, o estímulo recebido não é processado no cérebro. It's correct ✔


What is duplication event ?

Answers

Duplications arise from an event termed unequal crossing-over that occurs during meiosis between misaligned homologous chromosomes.

Answer:

Duplications arise from an event termed unequal crossing-over that occurs during meiosis between misaligned homologous chromosomes. The chance of it happening is a function of the degree of sharing of repetitive elements between two chromosomes.

Explanation:

This is what I found I'm not sure

One of a group of external regulatory proteins that stimulates the growth and division of cells is

Answers

Answer:

Cyclin-regulates the timing of the cell cycle. Normally, when cells touch, they stop growing. Growth factors-one of a group of external regulatory proteins that stimulate the growth and division of cells.

Explanation:

I hope it's help u

crabtree effect on glycolysis

Answers

Answer: 'At high fructose concentrations, respiration is inhibited while glycolytic end products accumulate, a phenomenon known as the Crabtree effect. It is commonly believed that this effect is restricted to microbial and tumour cells with uniquely high glycolytic capacities (Sussman et al, 1980).

Explanation: Sorry I dont really know a lot

Only producers/autotrophs
Products are carbon dioxide and water.
Products are glucose
and oxygen.
Reactants are carbon dioxide and water.
Reactants are glucose and oxygen.
Photosynthesis
Both
Cellular Respiration

Answers

Answer:

photosynthesis - Only producers/autotrophs, products are glucose and oxygen, reactants are carbon dioxide and water

cellular respiration - products are carbon dioxide and water, reactants are glucose and oxygen

reasons for eating animals. ​

Answers

Answer:

Eating animals are a good source of protein and fatty acids that can be difficult to find with vegetarian options

Answer:

Taste good.

Explanation:

mmmmm chicken

) Name the 3 polymers of carbohydrates and describe the structure and function of each of them.

Answers

Answer:

The correct answer is - starch, glycogen, and cellulose.

Explanation:

Polysaccharides are the name of the polymers of carbohydrates that have long chains of monosaccharides connected together. Carbohydrates like starch, glycogen, cellulose, are long polymers of monosaccharides.

Starch produced by plants and is a long-term storage form of sugar. Starch is also the major source of food and is made of two major polysaccharides amylose, linear polysaccharide of α-1,4-linked d-glucopyranose with a few branches of α-1,6 linkages, amylopectin, amylopectin possesses a branched structure with α1–4 as well as α1–6 glycosidic linkages.

Glycogen is a polymer of glucose residue with α-1,4 glycosidic bonds and after every 10 residues, there is branches off via α-1,6 glycosidic linkages. It is the second storage form of energy.

Cellulose is the structural polymer that is made up of unbranched chains of glucose molecules linked via beta 1-4 glycosidic bonds every second glucose is inverted in this polysaccharide.

Which of the following is a model that
shows the amount of energy available as it
flows through an ecosystem?
A) niche
B) energy pyramid
C) carrying capacity
D) food chain

Answers

Answer:

b

Explanation:

energy pyramids show how the energy passes through the ecosystem

Scientists have determined that Earth's interior has layers with different properties. One property is that the inner core is solid. Which of the following statements can be used as evidence to support this property?

Answers

Answer:

Earth's inner core is the innermost geologic layer of the planet Earth. It is primarily a solid ball with a radius of about 1,220 km (760 mi), which is about 20% of Earth's radius or 70% of the Moon's radius.[1][2]

The internal structure of Earth

There are no samples of Earth's core accessible for direct measurement, as there are for Earth's mantle. Information about Earth's core mostly comes from analysis of seismic waves and Earth's magnetic field.[3] The inner core is believed to be composed of an iron–nickel alloy with some other elements. The temperature at the inner core's surface is estimated to be approximately 5,700 K (5,430 °C; 9,800 °F), which is about the temperature at the surface of the Sun.[4]

What happened to make the K-T boundary?

Answers

Answer:

A meteorite big enough to be called a small asteroid hit Earth precisely at the time of the K-T extinction. The evidence for the impact was first discovered by Walter Alvarez and colleagues. They found that rocks laid down precisely at the K-T boundary contain extraordinary amounts of the metal iridium

Explanation:

How did the development of the sexual reproduction affect evolutionary change?

Answers

Well it helped the animals and humans grow the population.

The number of electrons in atoms determine an elements ? properties

Answers

Answer: The number of protons in one atom of an element determines the atom's identity, and the number of electrons determines its electrical charge.

Explanation:

Look at the food web shown above.
In this ecosystem, phytoplankton are considered to be
OA. producers
OB. decomposers
OC. consumers
OD. all of these

Answers

they are producers :)

9. If the Earth and the Moon were on the same orbital plane, how often would a lunar eclipse
occur?
A. Once a month at the First Quarter phase.
B. Once a month at the full Moon phase.
C. Once a month at the New Moon phase.
D. Once a month at the Third Quarter phase.

Answers

Answer:

.B

Explanation:

once at the full moon phase

Help me match the words at the bottom with they definition

Answers

Answer:

The definitions in the attachment is numbered accordingly as follows:

1. Electrophoresis

2. Polymerase Chain reaction

3. DNA probe

4. Chromosome

5. Restriction enzyme

Explanation:

1. Gel electrophoresis is a biological technique used to separate DNA fragments according to their size and charge using electric current passed through a gel matrix containing the samples.

2. Polymerase chain reaction, commonly known as PCR, is a molecular technique developed by Kary Mullis. It is used to make million copies i.e. amplify of a specific segment of DNA from a very small amount of DNA.

3. DNA probe

Other Questions
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Oxaloacetate is an important intermediate in several of these pathways, especially the citric acid cycle. Depleted oxaloacetate, just like other citric acid cycle intermediates, has to be replenished to maintain flux through the cycle. Separate metabolic pathways serve this purpose by balancing the flow of carbon in and out of the cycle. Define the major metabolic pathways by completing the sentences. Match the words in the left column to the appropriate blanks in the sentences on the right. a. catabolic b. anabolic c. anapleroticd. amphibolic 1. A(n)____process is the process in which complex biomolecules are built up from simpler.2. The____pathway involves both catabolic and anabolic processes. 3. A(n)____process is the process that replenishes the stores of citric acid cycle intermediates. 4. A(n)____process is the process by which complex molecules are broken down to simpler ones. 2. Identify the reactants and products of the citrate synthase reaction in Step 1 of the citric acid cycle. Drag the appropriate participants to their respective bins. a. acetyl-CoAb. citratec. heatd. CoA-SHe. oxaloacetate1. Reactants 2. Products 3. Neither 3. Mechanism for elevated ketone formationAfter analyzing the role of oxaloacetate in the first step of the citric acid cycle and formation reactions of ketone bodies above, your research group proposed several possible mechanisms for increased ketone bodies levels when oxaloacetate is depleted. Based on the information about ketone body synthesis, predict which possibility is the most reasonable. A. Another molecule (unknown at this point) reacts with available acetyl-CoA to form acetone, one of the ketone bodies. B. Lack of oxaloacetate frees the enzyme, citrate synthase, to be diverted to catalyze the formation of the ketone bodies. C. 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