Find the equivalent resistance if a 45 a 36 and a 15 resistor are connected in parallel

Answers

Answer 1

The equivalent resistance of the resistors connected in parallel is 8.57 ohms.

What is a resistance?

Resistance is the opposition to current flow in a circuit.

To calculate the equivalent of the resistances connected in parallel, we use the formula below.

Formula:

R' = (1/R₁)+(1/R₂)+(1/R₃)................. Equation 1

Where:

R' = Equivalent resistanceR₁,R₂,R₃ = Values of the Resistors connected in parallel

From the question,

Given:

R₁ = 45 ohmsR₂ = 36 ohmsR₃ = 15 ohms

Substitute these values into equation 1

1/R' = 1/45+1/36+1/151/R' = (4+5+12)/1801/R' = 21/180R' = 180/21R' = 8.57 ohms

Hence, the equivalent resistance is 8.57 ohms.

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Related Questions

If you leave home at 1:00 and get to your friend's house at 5:00, what is your average speed?

Answers

Answer:

4 miles per hour

Explanation:

you go 1 mile every hour

Who was the creator of the first chronometer accurate at sea?

Answers

The first creator of the chronometer at sea which is also called marine chronometer is John Harrison.

Who is John Harrison?

John Harrison is a self-educated english man who work as carpenter and clockmaker. He was born at 24 march 1963 and died at 24 march 1776. During his time, there were no any device that can determine the longitude  at the seas until marine chronometer invented. Marine chronometer was invented in 1761 and has a great impact to the sailor. After the invention, Navigator have the ships accurate position on the sea that cause the safety of the long journey in the sea are highly increase.

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A cannonball with a mass of 1. 0 kilogram is fired horizontally from a 500-kilogram cannon, initially at rest, on a horizontal, frictionless surface. The cannonball is acted on by an average force of 8. 0 x 103 newtons for 1. 0 x 10-1 second.

Answers

The change in momentum will be  800kg.m/s

We are given that,

Average force = ΔF = 8. 0 x 10²newtons

Average time = Δt 1. 0 x 10-1 second

Change in momentum = Δp =?

The cannonball's impulse J is equal to the cannonball's force multiplied by its duration.

J = FΔt

However, the cannonball's change in momentum is also equal to the impulse can be written as,

J = Δp

If we combine the two equations, we get

FΔt =Δp

Additionally, we can determine the change in momentum because we are aware of the strength of the average force and the time.

FΔt =Δp

Δp = ( 8. 0 x 10³ n)( 1. 0 x 10⁻¹s)

Δp = 800kg.m/s

Therefore, the change in momentum because we are aware of the strength of the average force and the time would be 800kg.m/s .

The complete question is,

A cannonball with a mass of 1.0 kilogram is fired horizontally from a 500.-kilogram cannon, initially at rest, on a horizontal, frictionless surface. The cannonball is acted on by an average force of 8.0 × 10 3 newtons for 1.0 × 10 −1 second. What is the magnitude of the change in momentum of the cannonball during firing?

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There will be an 800 kg/m/s shift in momentum.

It is provided to us,

F = 8.0 x [tex]10^{2}[/tex]newtons is the average force.

Time on average = t1.0 x [tex]10^{-1}[/tex] second

Momentum change is equal to p,

The force of the cannonball times its duration gives rise to the cannonball's impulse J.

J = FΔt

However, the momentum change of the bullet is equally equal to the impulse and may be expressed as,

J = Δp

The result of combining the two equations is

FΔt =Δp

Because we know the average force's magnitude and the passage of time, we can also calculate the change in momentum.

FΔt =Δp

Δp = [tex]\frac{( 8. 0 ( 10^{3}))}{ ( 1. 0 ( 10^{-1}))}[/tex]

Δp = 800kg.m/s

Since we are aware of the strength of the average, the change in momentum will be 800kg.m/s

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A paper airplane is dropped from a balcony. what will friction from the air do to the paper airplane? speed up the airplane it will not change the airplane's speed. slow down the airplane

Answers

A paper airplane is dropped from a balcony, then the friction from the air  slow down the airplane. As paper plane moves through the air, the air pushes against the airplane, hence slowing it down. This is called drag.

What is meant by drag?

The force that slows the plane down as it pushes against the air it is moving through is called drag. It is a kind of friction and is also called as air resistance.

In fluid dynamics, drag is a force acting opposite to the relative motion of an object moving with respect to the surrounding fluid. Drag is non-existent, without motion.

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What type of image is formed by a concave mirror?

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Concave mirrors form both real and virtual images.

What is a Concave mirror ?

A concave mirror has an inward-curving reflective surface that faces away from the light source. Light is reflected inward by concave mirrors to a single focus point. Unlike convex mirrors, a concave mirror's created image exhibits a variety of picture types based on the object's distance from the mirror.

A virtual, magnified image of the object is produced when the concave mirror is placed very close to it. As the distance between the object and the mirror increases, the size of the image decreases and real images are produced.

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For one type of insulating material, the temperature of the water decreased from
85.0 °C to 65.0 °C.
The energy transferred from the water was 10.5 kJ.
specific heat capacity of water = 4200 J/kg °C
Calculate the mass of water in the can.

HELP PLS!!!!! PHYSICS

Answers

The mass of the water in the can, temperature of the water decreased from 85.0 °C to 65.0 °C is 0.125 Kg

How do I determine the mass of the water in the can?

From calorimetry, we understood that heat and mass are related according to the given formula:

Q = MCΔT

Where

Q is the heat energyM is the massC is the specific heat capacityΔT is the change in temperature

Using the above formula, the mass of the water can be obtained as follow:

Initial temperature of water (T₁) = 85.0 °CFinal temperature of water(T₂) = 65.0 °CChange in temperature (ΔT) = 65 - 85 = -20 °C Specific heat capacity of water (C) = 4200 J/KgºC Heat transferred (Q) = -10.5 KJ = -10.5 × 1000 = -10500 JMass of water (M) =?

Q = MCΔT

-10500 = M × 4200 × -20

-10500 = M × -84000

Divide both sides by -84000

M = -10500 / -84000

M = 0.125 Kg

Thus, we can conclude from the above calculation that the mass of the water in the can is 0.125 Kg

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a body weighs 63 n on the surface of the earth. what is the gravitational force on it due to the earth at a height equal to half the radius of the earth

Answers

'mg=63 N, h=2R' <br> As 'g (h)=(1)/(9)g' and '(g h)/(g)=((R)/(R+h))2= ((R)/(R+R2))= (1/3)2= (1)/(9)' respectively. if it is subject to the earth's gravitational force pull at a height equal to half the planet's radius.

What is gravity, and what does it look like?

The term gravitational force refers to the force that the earth exerts on a body. Examples of motion caused by gravitational force include the downward motion of water in a river, the downward motion of water in a stream, and the upward motion of a ball when it is thrown.

Why does gravity have energy?

The energy that an item retains due to its height above the Earth (i.e., whether it is farther away from or nearer to the ground) is known as gravitational energy. It represents potential energy. An object has gravitational energy because of its height above the ground.

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At what angle is a force directed it its horizontal component is 10 N and the vertical component is 15 N?

Answers

Answer:

56.3⁰

Explanation:

∅ = tan⁻¹ (y/x) = tan⁻¹(15/10) = 56.3⁰

a 20kg girl swings back and forth on a swing whose ropes are. 4m long. the maximum height she reaches is 2m above the ground. at the lowest point she is .5m above the ground. what is the girls maximum speed

Answers

Answer:4m

Explanation:

Thats the girls maximum speed

How did the marine chronometer change the world?

Answers

The marine chronometer changed the world by revolutionizing the way people navigated. It allowed ships to accurately measure their longitude, enabling them to determine their exact positions at sea.

This greatly improved the accuracy of navigation and allowed ships to travel farther and more safely. Additionally, the introduction of the marine chronometer allowed for the development of global trade and the exploration of new lands.

The Impact of the Marine Chronometer on Global Exploration and Trade

The marine chronometer was a revolutionary invention that changed the world by revolutionizing the way people navigated. Prior to its introduction, navigation was an imprecise art that relied on guesswork and educated guesses. However, with the invention of the marine chronometer, ships were now able to accurately measure their longitude and determine their exact positions at sea. This greatly improved the accuracy of navigation and allowed ships to travel farther and more safely.

The impact of the marine chronometer can be seen in the development of global trade and the exploration of new lands. By allowing ships to navigate more precisely, the marine chronometer enabled more efficient trade routes and allowed for new areas to be explored. For example, the marine chronometer played a key role in the exploration of the Pacific Ocean and the discovery of Australia and New Zealand. Additionally, the marine chronometer allowed merchants to expand the scope of their trading activities and the reach of their goods.

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a typical magnitude of the external magnetic field in a cardiac catheter ablation procedure using remote magnetic navigation is

Answers

The magnitude of the torque on the tip of the catheter containing this permanent magnet is 4.20 x 10-3 Nm and  the potential energy of the system is -0.0104 J.

Given that the magnetic field (B)  = 0.080 T.

The permanent magnet has a magnetic moment of (μ) = 0.14 Am^2.

The angle of orientation of the permanent magnet is (θ) = 22°

(a) Let the magnitude of the torque = τ

We know that τ = μBsinθ  such that

τ = 0.14 x 0.080 x sin22°  = 4.20 x 10-3 Nm

The require torque on the tip of the catheter containing this permanent magnet is 4.20 x 10-3Nm

(b) Let the potential energy of the system be U

We know that U =  -μBcosθ

U = -(0.14 x 0.080 x cos22°) = -0.0104 J

Hence the potential energy of the system consisting of the permanent magnet in the catheter and the magnetic field provided by the external magnets is -0.0104J.

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complete question: A typical magnitude of the external magnetic field in a cardiac catheter ablation procedure using remote magnetic navigation is B = 0.080 T. Suppose that the permanent magnet in the catheter used in the procedure is inside the left atrium of the heart and subject to this external magnetic field. The permanent magnet has a magnetic moment of 0.14 Am^2. The orientation of the permanent magnet is 22° from the direction of the external magnetic field lines.

(a) What is the magnitude of the torque on the tip of the catheter containing this permanent magnet?

(b) What is the potential energy of the system consisting of the permanent magnet in the catheter and the magnetic field provided by the external magnets?

The permanent magnet-containing catheter's tip experienced a torque of 4.20 x 10-3 Nm, and the system's potential energy was -0.0104 J.

What causes more torque?

Installing a turbocharger or supercharger is a practical alteration that will greatly boost torque. Your engine's power is increased via forced induction, which forces air into the engine. The amount of time a turbocharger has to spool before it benefits torque will depend on the torque curve you choose.

In light of the magnetic field's (B) value of 0.080 T.

The magnetic moment of the permanent magnet is () = 0.14 Am2.

The permanent magnet's orientation angle is () = 22°.

(a) Set the torque's magnitude to.

We are aware that = Bsin, thus

4.20 x 10-3 Nm is equal to = 0.14 x 0.080 x sin22°.

4.20 x 10-3Nm of required torque must be applied to the catheter tip housing this permanent magnet.

(b) Set the system's potential energy to U.

We are aware that U = -Bcos.

U is equal to -(0.14 x 0.080 x cos22°) = -0.0104 J.

In light of this, the potential energy of the system comprised of the catheter's permanent magnet and the magnetic field created by the external magnets is equal to -0.0104J.

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If two cars meet on a narrow grade and they cannot pass, the right-of-way should be yielded to:A. Neither car.B. The car going uphill.C. The car going downhill.

Answers

If two cars meet on a narrow grade and they cannot pass, the right-of-way should be yielded to (B) The car going uphill.

In the situation that two vehicles met on a winding mountain road that is only wide enough for one vehicle to go at a time, the driver of the vehicle that is driving downhill is required to give way to the driver of the vehicle that is traveling upwards. If it is more convenient for the car going uphill to locate a larger space or turnout, then the vehicle going downhill should pull over far enough to make room for the other vehicle to pass through.

So option B is the correct option.

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A small rock bounces off the windshield of a moving car and experiences a large change in velocity. how does the car’s momentum change?(1 point) responses it has a much smaller change in momentum than that of the rock, in the opposite direction. it has a much smaller change in momentum than that of the rock, in the opposite direction. it has a change in momentum equal to that of the rock, in the opposite direction. it has a change in momentum equal to that of the rock, in the opposite direction. it has a change in momentum greater than that of the rock, in the opposite direction. it has a change in momentum greater than that of the rock, in the opposite direction. it does not change.

Answers

Assuming a small rock bounces off the windshield of a moving car and experiences a large change in velocity, the way in which the car’s momentum change is that: C. it has a change in momentum equal to that of the rock, in the opposite direction.

What is the law of conservation of momentum?

The law of conservation of momentum states that the total linear momentum of an isolated (closed) system would always remain constant (the same) with respect to time, unless an external force is applied.

Additionally, the law of conservation of momentum states that the total momentum of two (2) interacting objects in an isolated (closed) system would be the same or remain constant, provided no external force is applied.

In this scenario, we can reasonably infer and logically deduce that in accordance with the law of conservation of momentum, the car’s momentum would be equal to the rock's momentum, in the opposite direction.

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A motor scooter undergoes acceleration when it O decreases speed. O changes direction. O gains speed.O all of the above

Answers

Gains speed because Acceleration is defined as the rate of change of velocity, which can be positive (speed increase) or negative (speed decrease). In the case of a motor scooter, when it gains speed.

What is acceleration explain?

Measuring the rate at which a moving entity's speed and direction change over time. When a point or thing accelerates / decelerates, it is moving straight forward. Motion on a circle increases even if the speed is constant because the vector is always changing.

What is the acceleration equation?

A = v/t stands for acceleration, which is the product of the alteration in speed (v) and the shift in time (t) (t). You may use this to figure out the variation in velocity in m/s² (metres per second squared).

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a system does 164 j of work on its environment and gains 77 j of heat in the process. find the change in the internal energy of (a) the system and (b) the environment.

Answers

In the case of the system, the internal energy change can be computed as q – W 77 – 164. We will receive the result minus 87. Here is portion a. The last response, which represents a shift in internal energy, is -87 jewel.

How would you define internal energy?

In thermodynamics, internal energy is a property or state function that characterises a substance's energy in the absence of capillary effects and the impacts of external magnetic, electric, and other fields.

What is inner energy, and what does it look like?

The internal energy change formula is U = Q + W. In this case, U equals the overall change in the system's internal energy. Q is the amount of heat that is transferred from one system to another (outside the system).

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True or false: fungi are different from animals because they have cell walls and are autotrophs.

Answers

Answer:

false fungi is from deacaying plants or mushooms...

A load draws a complex power S = 40+j30 VA. Find the apparent power delivered to this load
50 VA
30j VAR
30 VAR
40-j30 VA
40 VA
1/(40+j30) VAR

Answers

The apparent power delivered to this load is 50VA. For a load, S = 40 + j 30 VA is the complex power. The appropriate response is option a. Power in physics is the quantity of energy transported per unit time.

The watt, which is equal to one joule per second in the International System of Units, serves as the unit of power. Power is occasionally referred to as activity in earlier writings. Energy is a scalar quantity. The precise definition of a load is as follows: Any device that allows energy to pass through it is a load. It disperses or transfers the energy to another location. The elsewhere could be the environment in the form of heat, light, flux, or another device as mechanical power or shaft energy.

S = ((40^2+30^2))^1/2

= (1600+900)^1/2= 50VA

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What is atmospheric perspective the effect?

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Atmospheric perspective, is an optical effect used in art, where distant objects appear hazy, less detailed, and a lighter shade of color than closer objects. This effect is created by the scattering of light in a medium such as air.

Atmospheric perspective gives a painting or drawing depth and a sense of distance, allowing the viewer to imagine a world beyond what is shown.

Atmospheric perspective is an important effect used in art to create a sense of depth and distance in a painting or drawing. It is achieved by the scattering of light in a medium, such as air, which causes distant objects to appear hazy, less detailed, and a lighter shade of color than closer objects.

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Which of the following is most often used to change the direction of a force, but not the strength of the force?
a. a ball bearing b. a rope
c. a spring d. a parachute

Answers

I think Ball
Just check if it’s correct
Result

b. a rope

Explanation:

With the use of the rope, you can pull the object in any direction with the same magnitude which would change the direction but not the magnitude.

the earth revolves blank around the sun each year when viewed from above the north pole.

Answers

When viewed above the North Pole, the Earth rotates counterclockwise, from west to east. This is also called a prograde rotation.

When viewed from above Earth's North Pole Which way does Earth orbit the sun?

The Earth rotates around the Sun-also counterclockwise viewed from above the North Pole, clockwise observe from the South Pole-to give us our years. The plane of the Earth's orbit is called the sphere where aureole happens. Because of this direction of rotation, we see the sun rising every day in the east and position in the west.

As we viewed above the earth revolves empty around the sun each year when viewed from above the north pole. We know that the Earth is viewed once in twenty-four hours.

So we can conclude that Earth when seen from the top of the north pole, will be seen revolve in anti-clockwise.

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what is the magnitude of δ for [ti(h2o)6]3+ in kj/mol?

Answers

The magnitude of the splitting for the ion is 97 kJ/mol.

What is the magnitude of the crystal field splitting?

We know that the ligands as we know than can be able to act as point charges and as such they are able to lead to the splitting of the octahedral crystal field and then this would result in the formation of the complex

We know that there is one unpaired electron that is present in the Ti III ion and thus we would have;

Δo = hcv

Δo = crystal feild splitting energy

h = Plank's constant

c = speed of light

v = wave number

Then;

Δo = 6.6 * 10^-34 * 3 * 10^10 * 20300

Δo = 4 * 10^-19 J * 6.02 * 10^23/mol

= 242 kJ/mol

CFSE = -0.4 *  242 kJ/mol

= 97 kJ/mol

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Air flows through this tube at a rate of 1100 cm3/s . Assume that air is an ideal fluid. What is the height h of mercury in the right side of the U-tube?

Answers

The height of mercury on the right side of the U-tube is 0 cm.

The height of mercury in the U-tube is determined by the pressure difference between the two sides of the tube. Since air is an ideal fluid, it has no viscosity and the flow rate is determined by the pressure difference.

In this case, the flow rate is the same on both sides of the tube, so the pressure difference is zero and the height of mercury on both sides of the tube is the same. Therefore, the height of mercury in the right side of the U-tube is 0 cm.

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After the capacitor is fully charged, the battery is removed and the capacitor is discharged through the resistor. How much charge is on the capacitor after 1 time constant

Answers

The charge on the  capacitor C that  discharge through a resistor R is 0.36 times the initial charge of the capacitor.

A capacitor C discharge through a resistor R. Let Vi = voltage when the capacitor charges to Initial charge, Qi = CVi.

When time becomes 1 time constant, t=T, for voltage on discharging capacitor, we know, V =  Vie−t/τ, where τ = time constant. Now,

Vf = Vi*e−t/τ, Vf =Vi* e−T/τ, Vf=Vi *e^-1 , Vf=Vi/e.

Now let Qi be the initial full charge on the capacitor.

Then Qi=1/2C*Vi , Qf=½ C*Vf ,Qf=1/2C*Vi/e , Qf=Qi/e , Qf = 0.36 Qi.

So the charge on the capacitor after 1 time constant is 0.36 times the initial fully charge of the capacitor.

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explain how the characteristics are used to classify organisms into the six kingdoms

Answers

The organisms can be classified into the six kingdoms based on similarities or common characteristics.

Why are the characteristics are used to classify organisms ?

Organisms are placed into different types of categories on the basis of similarities or common characteristics among different organisms. Some of the characteristics or qualities that are used to determine classification are cell type, nutrient intake, and mode of reproduction. The two main cell types are prokaryotic cells and eukaryotic cells.

Today, the system that is used is the Six Kingdom Classifications i.e. Plants, Animals, Protists, Fungi, Archaebacteria, and Eubacteria. These organisms are classified into different kingdoms on the basis of cell type, their ability to make food and the number of cells present in their body.

So we can conclude that on the basis of common characteristics, organisms can be classified into the many kingdoms

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In chemical reactions , how does the valence configuration of bromine tend to change ?

Answers

In chemical reactions , by gaining one electron the valence configuration of bromine tend to change.

What is an electron ?

The elementary electric charge of the electron is a negative one, making it a subatomic particle. Due to their lack of components or substructure, electrons, which are part of the lepton particle family's first generation, are typically regarded to be elementary particles.

There are 7 valence electrons in it. To achieve noble gas configuration, only one additional electron is needed. It will then be known as a bromide ion after receiving one additional electron. In order to create an ion, bromine gains one electron.

Thus, In chemical reactions , by gaining one electron the valence configuration of bromine tend to change.

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What is the characteristics of distress?

Answers

Distress is a state of mental or emotional suffering caused by adverse circumstances:

It can manifest itself in various forms, such as anxiety, fear, frustration, depression, and confusion. Common signs of distress include difficulty concentrating, feeling overwhelmed, and difficulty sleeping. It can also manifest itself in physical symptoms such as headaches, stomachaches, and muscle tension. Distress can be caused by a variety of factors, such as relationship problems, financial difficulties, work-related stress, and health issues.It is important to recognize the signs of distress and seek appropriate help if needed.

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A cell has a mutation that disrupts the insulin binding site of the insulin receptor.

Answers

The insulin receptor (IR) initiates downstream signalling cascades in response to insulin binding. After then, clathrin-mediated endocytosis takes place to ingest the active IR. The mechanism and control of clathrin-mediated endocytosis of IR remain poorly understood after decades of research.

When insulin binds to its receptor on a cell, what happens?

When insulin binds to the insulin receptor (IR) on the cell surface, IR kinase is activated and insulin-IR complexes are first transported to clathrin-coated pits and early endosomes that contain internalised but functional insulin receptors.

One of the main causes of neonatal diabetes is insulin gene abnormalities. They may result in proinsulin misfolding and endoplasmic reticulum retention (ER). This causes an increase in ER stress, which is thought to cause beta-cell death.

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NaHCO3 + CaCl2 = CaCO3 + 2NaCl + H2O how can I balance this equation

Answers

Answer:

NaHCO3 + CaCl2 = CaCO3 + 2NaCl + H2O

Explanation:

It is physically impossible to balance this equation you may be missing another compound

a car started accelerating from 10m/s to attain a velocity of 30m/s in 10secs,continued with a uniform velocity for another secs and stops in the next 15secs.calculate d distance covered

Answers

Answer: tjntgjuur jjrfngurug r

Explanation:r rhh reh hejjej

What are convex mirrors used for?

Answers

Since convex mirrors can divergence light beams and create virtual pictures, they are frequently employed as rear-view reflectors in cars and other vehicles.

Why can't concave mirrors be used in automobiles?

Concave mirrors provide a genuine and inverted image, giving the impression that the items are upside down. Additionally, because concave mirrors have a much smaller field of view than convex mirrors, they cannot be used as rearview mirrors in vehicles.

What kind of mirror does a camera use?

In photographic cameras, convex lenses are utilized because concave mirrors don't produce true images that can be captured on film or displayed on screens.

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3. Moral duty: The colonized country has a poor, un- educated population that needs roads, schools, and hospitals. always justified Determine the equations of the elastic curve for the shaft using the X1 and X2 coordinates. Take El as constant and Mo - 600 N.m. M A B C X1 X2 3 m 2 m Select one: 1 X=(V/EU), (33.33x,3 - 300 x) (m) and V2(X) = (1/E) (300x37 + 1800 x3 - 2400) (m) V4 X) WEB), (33.33x3-300x) (m) and V2.0%) = (VE) (300 x 2 + 1800 xy + 2400) {m} VIVE. (33,33 x - 300 x cm) and V2 (x) = (1/6/1: (300 X - 1800 x3 + 24002 (m) VED): 153.33 X - 300x{mand V2 ()= /ED. (300 X22 - 1800 x3 +2400) 133.33 30 m) and 200 (300X1800 X:- 24001 m. Between ages 10 and 20, levels of extraversion tend to ________ and then ________.A) decrease; increaseB) level off; stay the sameC) decrease; stay the sameD) increase; level off ____tag enables you to apply the style on a single character, word or group of words.a) b) c) Read and choose the option with the correct answer. how would you tell tasha that her hair is extremely long? es largusima. es largusimo. es malsima. es malsimo. Condensation is when a gas to become a liquid 7 boys took 48 days to dig a garden. how long will it take 21 boys to dig a garden 19. which of the following statements are true? a. qualified dividends are part of the total ordinary dividends. b. qualified dividends qualify for lower, long-term capital gains tax rates. c. qualified dividends are reported on form 1099-div. d. all of the above. Who did the Open Door Policy involved? ________ shrinks the width and height of the printed worksheet to fit a maximum number of pages. What is the figure of speech for ' with a flash of triumph ' In what way did T. H. Morgan's fruit fly data not conform to Mendel's law of independent assortment? What is the slope of a line perpendicular to the line whose equation is 4 x + 10 y = -140 Joseph has a loyalty card good for a 20% discount at his local pharmacy. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $42.05? Round to the nearest cent. What two questions remained about Wegener's ideas that kept scientists from accepting his theory The speed at the first quarter checkpoint is m/s. The speed at the second quarter checkpoint is m/s. The speed at the third quarter checkpoint is m/s. The speed at the finish line is m/s. How do ato ashun and trevor getz describe society around cape coast prior to the atlantic slave trade? if it were not for air resistance, why would it be dangerous to go outdoors on rainy days? URGENT!! ILL GIVEBRAINLIEST!!!! AND 100POINTS!!!!!!!! .Carl Rogers would have suggested that many of the defense mechanisms described byFreud are used to minimize the perceived discrepancy betweenA)emotional stability and instability.B)introversion and extraversion.C)the actual self and the ideal self.D)self-esteem and self-actualization.