Imagine that you lived in a dot on the surface of an expanding balloon, and as you looked to more distant dots, you observed the following:
A dot at a distance of 5 centimeters from you is moving away from you at a speed of 1 centimeter per hour (1 cm/hr).
A dot at a distance of 10 centimeters from you is moving away from you at a speed of 2 centimeters per hour (2 cm/hr).
A dot at a distance of 15 centimeters from you is moving away from you at a speed of 3 centimeters per hour (3 cm/hr).
Which equation below correctly states the relationship between the dot distances and speeds as observed by you?

Answers

Answer 1

Answer:

\(v = \frac{1}{5}\cdot s\)

Explanation:

If the distance (\(s\)) and speed (\(v\)), measured in centimeters and centimeters per hour, respectively, are directly proportional to each other, then each set of values must observe the following relationship:

\(k = \frac{v}{s}\) (Eq. 1)

Where \(k\) is the proportionality constant, measured in \(\frac{1}{h}\).

If we know that \(s_{1} = 10\,cm\), \(v_{1} = 1\,\frac{cm}{h}\), \(s_{2} = 15\,cm\), \(v_{2} = 2\,\frac{cm}{h}\), \(s_{3} = 15\,cm\) and \(v_{3} = 3\,\frac{cm}{h}\), then the constant of proportionality for each pair is:

\(k_{1} = \frac{v_{1}}{s_{1}}\)

\(k_{1} = \frac{1\,\frac{cm}{h} }{5\,cm}\)

\(k_{1} = \frac{1}{5}\,\frac{1}{h}\)

\(k_{2} = \frac{v_{2}}{s_{2}}\)

\(k_{2} = \frac{2\,\frac{cm}{h} }{10\,cm}\)

\(k_{2} = \frac{1}{5}\,\frac{1}{h}\)

\(k_{3} = \frac{v_{3}}{s_{3}}\)

\(k_{3} = \frac{3\,\frac{cm}{h} }{15\,cm}\)

\(k_{3} = \frac{1}{5}\,\frac{1}{h}\)

As \(k_{1} = k_{2} = k_{3}\), we conclude that correct equation is \(v = \frac{1}{5}\cdot s\).

Answer 2

The correct equation that correctly state the relationship between the dot distances and speeds is ;  S = 5 * V   or   \(V = 1 / 5 * s\)

Although some data related to your question is missing a general answer within the scope of your question is provided

From the given data

The distance of the dot  is directly proportional to the speed ( v ) of the dot

i.e. S ∝ V

∴ S = kV

K = S / V . -------- ( 1 )

where ;

S = distance of dot , V = speed of dot  and K = proportionality constant.

Applying equation ( 1 ) to all three dot distances

At dot distance ; 5 cm

       K = 5 cm / 1 cm/hr  = 5

At dot distance ; 10 cm

       K = 10 cm / 2 cm/hr = 5

At dot distance ; 15 cm

      K = 15 cm / 3 cm/hr = 5  

Therefore we can conclude that the equation that will currently state the relationship between the dot distances and their speeds is \(V = 1 / 5 * s\)

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Related Questions

When that same man hammers harder on the ladder, the waves created will transfer more energy. True or False

Answers

Answer:

True

Explanation:


In outer space, a piece of rock continues moving at the same velocity for
thousands of years. What makes this possible?

Answers

The absence of external force in the outer space, allows the piece of rock to continue moving at the same velocity for thousands of years.

Absence of external force on the outer space

The outer space is almost an absolute vacuum, because it's nearly empty. There is no matter such as air in the outer space that will provide an external force needed to change the velocity of the piece of rock.

From Newton's first law of motion, an object in a state of rest or uniform motion in a straight line, will continue in that state unless it is acted upon by an external force.

Thus, the absence of external force in the outer space, allows the piece of rock to continue moving at the same velocity for thousands of years.

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Answer:

inertia

Explanation:

Describe the disadvantages of using uranium-238 for dating.

Answers

Explanation:

Mostly in metamorphic or lava materials is uranium-238 contained. Then no fossil could be estimated utilizing U 238 specifically. They should never be used combined due to the huge variations in the half-life of Carbon 14 with Uranium-238. It is only possible to be using carbon 14 to classify fossil from a very current generation.

Metal paper clips do not attract or repel each other. When an electromagnet is placed nearby, the paper clips can be observed to move toward it. Which statement describes this phenomenon?Paper clips turn into permanent magnets after exposure to a magnetic field.The electromagnet reacts to the strong force of attraction from paper clips.Electrons flow freely into the magnetic field, causing the paper clips to move.Magnetic domains within the paper clips align with the magnetic field.

Answers

When an electromagnet is placed nearby, the paper clips move towards it due to magnetic domains within the paper clips aligning with the magnetic field.

Magnetic domains are tiny regions within a material's atoms where the magnetic poles are aligned in the same direction, creating a magnetic field. As the electromagnet produces its own magnetic field, the magnetic domains within the paper clips become attracted to the electromagnet’s field, causing them to move towards it. The paper clips do not become magnetized themselves, as the magnetic field created by the electromagnet is too weak to cause permanent alignment of the magnetic domains within the paper clips.

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Heat energy is produced when molecules move. True False

Answers

Answer:

true

Explanation:

how does the fujita scale measure tornado intensity?

Answers

The Fujita or Fujita-Pearson scale is majorly used to measure the intensity of the tornadoes. It takes into account the degree of destruction which is caused by the tornado in structures built by men.

On the other hand, the intensity of hurricanes is measured using the Saffir-Simpson scale, which classifies them from level 1 (the lowest) to level 5 (the highest) depending on the strength of the winds.

The Fujita Scale (F Scale) also known as the Fujita-Pearson Scale (FPP Scale) measures and classifies the intensity of tornados. The scale bases and its rating on the destruction caused by the tornado. The scale recently was modified in the United States in 2007. It was renamed it as the Enhanced Fujita Scale (EF Scale).

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Can someone please help me with this calculation? It's a bit confusing for me.

You are calculating the average speed, velocity, and acceleration of a toy car.

I'm not sure what the speed of the toy car was or the acceleration. I only have the times of the meters.
first meter: 2.00, second meter: 4.00, third meter: 6.20, fourth meter: 8.01, fifth meter: 10:13, sixth meter: 12:13, seventh meter: 14:13, eighth meter: 16:14, ninth meter 18:18 and tenth meter: 20:00.

Answer the following questions.
Did the car travel at a constant speed? (Hint: you must calculate the speed at every meter)
What was the average speed of the car?
Describe the overall motion of the car.
What are some practical applications for determining the motion of an object?

Answers

Answer: See Explanation

Explanation:

Did the car travel at a constant speed?

This means "Is the speed at each interval the same?"

There are 10 intervals for which to calculate from.

For each one, the speed is the distance traveled divided by the time.

Each interval is 1 meter long (distance).

1st: 1 meter / 2.00 s = 0.5 m/s

2nd: 1 meter / (4.00 - 2.00) s = 0.5 m/s

3rd: 1 meter / (6.2 - 4.0) s = 0.454 m/s

Right here you can see that the speed is different, NO is the answer.

Average Speed = total distance divided by total time

v = d / t     v = (10 m) / (20:00 s) = 0.5 (m/s)

Describe the overall motion: (continue on with step one to see the total motion over the 10 meters)

4th: 0.552

5th: 0.472

6th: 0.5

7th: 0.5

8th: 0.4975

9th: 5.39

10th: 0.55

Overall motion stayed steady from 0-2 meters, slowed for the 3rd meter, sped up for the 4th, slowed down the 5th, stayed steady until slowing down in the 8th meter, then increased speed til the 10th meter.

Races would be practical applications to see where people/cars pace themselves, push themselves, etc.

If the speed of light in some unknown material is 2. 00 × 108 m/s, what is the index of refraction of the medium?

Answers

The index of refraction of the unknown material is 1.5.

The index of refraction (n) of a medium is defined as the ratio of the speed of light in a vacuum (c) to the speed of light in the medium (v):

n = c / v

In this case, the speed of light in the unknown material is given as 2.00 × \(10^8\) m/s. The speed of light in a vacuum is approximately 3.00 × \(10^8\) m/s. Substituting these values into the formula:

n = (3.00 × \(10^8\) m/s) / (2.00 × \(10^8\) m/s)

Simplifying the expression:

n = 1.5

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A teacher demonstrates air pressure to the class. She takes a soft drink can and puts a little bit of water in it. Then she heats it up until the water is boiling. The students watch as the steam pushes air out of the can. The teacher then quickly takes the can, turns it over and dips the open end in bowl of water. A short time later there is a loud bang and the can collapses.. (a) When the teacher cools the can some of the steam turns back to water. What happens to the air pressure inside the can? (b) Why?( Use ideas about collisions in your answer). (c)Explain why the can collapses.

Answers

The can collapses because of the difference in air pressure between the inside and outside of the can and the decrease in air pressure inside the can caused by the condensation of the steam.

What is the significance of the collision of particles?

Here when the teacher cools the can, some of the steam turns back into water, and as a result, the air pressure inside the can decreases. The reason for this is due to the collisions as when the steam condenses back into water, due to a decrease in the air pressure,

Hence, the can collapses because of the difference in air pressure between the inside and outside of the can and the decrease in air pressure inside the can caused by the condensation of the steam.

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An object with a mass of 5.0 kg accelerates 3.0 m/s2 after a force is applied to it. What is the amount
of force acting on the object?

Answers

Answer:

Dont

Explanation:

Know

a cd has a diameter of 12.0 cm. if the cd is rotating at a constant angular speed of 20 radians per second, then the linear speed of a point on the circumference is

Answers

the circumference of the CD is moving at a constant speed of 120 cm/s when the CD is rotating at a constant angular speed of 20 radians per second.

The circumference of the CD can be calculated using the formula C = πd, where d is the diameter. So, for a CD with a diameter of 12.0 cm, the circumference is C = π(12.0 cm) = 37.7 cm (rounded to one decimal place).
The linear speed of a point on the circumference can be found using the formula v = ωr, where ω is the angular speed and r is the radius of the circle. Since the radius of the CD is half the diameter, it is 6.0 cm.
So, the linear speed of a point on the circumference is v = (20 rad/s) x (6.0 cm) = 120 cm/s.


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When is a circuit considered a
"closed circuit"?
A. When the circuit is "on".
B. When the circuit is "off".
C. When the circuit is incomplete.
D. When a circuit's switch is open.

Answers

Answer:

It would be considered a close circuit when the circuit is off

A. When the circuit is “on”

A force F~ = Fxˆı + Fyˆ acts on an object with Fx = 4 N and Fy = 6 N. The angle between F~ and the displacement vector ~s is 18◦ , and 106 J of work is done by F~. Find the magnitude of ~s. Answer in units of m

Answers

The magnitude of the vector displacement is 15.65 m.

Resultant force

The resultant force acting on the object is calculated as follows;

\(F = \sqrt{F_x^2 + F_y^2} \\\\F = \sqrt{4^2 + 6^2} \\\\F = 7.21 \ N\)

Displacement of the vector

The displacement of the vector is calculated as follows;

W = Fs cosθ

\(s = \frac{W}{Fcos(\theta)} \\\\s = \frac{106}{7.12 \times cos(18)} \\\\s = 15.65 \ m\)

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The acceleration of an object would increase if there was an increase in:
A.mass of the object
B.force on the object
C.inertia of the object
D.friction in the object

Answers

Answer:

Its either B or A

Explanation:

A EELS (ELECTRIC ERLS) HOW DO THEY PRODUCE SUCH A
BIg shOCK? WHAT Voltage AND CURRENT?

Answers

Answer:

these organs make up four fifth's of it's body, and gives the electric eel ablity to generate two types of electric organ discharges:low voltage and high voltage

A force of 25 newtons moves a box a distance of 4 meters in 5 seconds.
The work done on the box is __Nm, and the power is
__Nm/s. will give brainliest to whoever answers quickest

Answers

Answer:

The work done on the box is 100 Nm, and the power is 20 Nm/s.

when considering electromagnetic waves, as frequency increases: question 29 options: wavelength and energy increases. wavelength decreases and energy increases. wavelength and energy decreases. none of these answers. wavelength increases and energy decreases.

Answers

Electromagnetic waves are a type of energy that travels through space in the form of oscillating electric and magnetic fields.

What are Electromagnetic Waves ?The frequency of an electromagnetic wave—which is the total number of complete oscillations of the electric and magnetic fields per second—determines the wave's characteristics.The wavelength of the wave shrinks as frequency rises, shortening the space between two successive peaks or troughs of the wave. This is so because the wave's frequency and wavelength, which are multiplied together, determine the speed of light, which is a constant in a vacuum. In order for the speed of light to remain constant, the wavelength must therefore decrease as the frequency rises.

An increase in frequency also causes an increase in the electromagnetic wave's energy in addition to a shorter wavelength.\

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physics ia how does the concentration of salt in water affect the specific heat capacity?

Answers

The concentration of salt in water affects the specific heat capacity by changing the thermal properties of the solution, causing it to require less heat to be raised in temperature.

The specific heat capacity of water is the amount of heat required to raise the temperature of a certain mass of water by 1 degree Celsius. The concentration of salt in water affects its specific heat capacity because the presence of ions in the solution changes the thermal properties of the water.

As the concentration of salt in water increases, the specific heat capacity of the solution decreases. This is because the ions in the salt solution require less heat to be raised in temperature than pure water molecules. Additionally, the ions in the salt solution also increase the mobility of water molecules, causing them to transfer heat more efficiently and therefore, the heat energy required to raise the temperature of the solution is reduced.

It should be noted that the effect of salt concentration on specific heat capacity is small, and significant changes in specific heat capacity usually require very high salt concentrations. Nevertheless, the change in specific heat capacity can have a significant impact on the thermal dynamics of systems such as oceans, which contain high salt concentrations.

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For this object, what color will you observe?

For this object, what color will you observe?

Answers

Answer:

blue

Explanation:

blue is the only color being reflected, meaning it's the only one that will be visible

a car delivers its power to a winch, which is used to raise a load of 1000 kg at a vertical speed of 2 m/s. determine (a) the work delivered by the engine to the winch in kw, and (b) the rate (g/s) at which fuel is consumed by the engine. assume the engine to be 35% efficient with the heating value of fuel to be 40 mj/kg.[solution] [discuss

Answers

The work delivered by the engine to the winch in kW is 19.6 kW and the rate at which fuel is consumed by the engine is 13.2 g/s.

Let the power output of the engine be P kW.

Work done per second = power = P kW

The heat produced by fuel per second = P/η1,

where η1 is the efficiency of the engine = 0.35

Amount of fuel consumed per second = Heat produced per second / Heating value of fuel = P / (η1 * Heating value of fuel) kW/kg/s = P / (0.35 * 40 * 106) kg/s = P / 14 * 106 kg/s

Given,

load lifted = 1000 kg, vertical speed = 2 m/s

The work done by the engine is given by work = Force * distance

The force required to lift the load = Weight of the load = mass * acceleration due to gravity (g) = 1000 * 9.8 N = 9800 NA vertical speed of 2 m/s means that the load has traveled a distance of 2 m in one second.

Work done per second = power = force * distance / time = force * speed = 9800 * 2 = 19600 NWatts = 19600 J/s = 19.6 kW

(a) The work delivered by the engine to the winch in kW = 19.6 kW

(b) The rate (g/s) at which fuel is consumed by the engine = 19.6 / 14 * 106 = 0.0132 kg/s = 13.2 g/s

Therefore, the work delivered by the engine to the winch in kW is 19.6 kW and the rate at which fuel is consumed by the engine is 13.2 g/s.

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The formula vw=f⋅λ
describes the relationship between the speed of a wave (vw) , and its frequency (f) and wavelength (λ)

For example, if a wave has a frequency of 120 Hz and a wavelength of 5m, it would have a speed of 600 m/s.

In one or two sentences, describe what would happen to the frequency of this wave if the wavelength is increased to 10m but the speed stays the same at 600 m/s.

Answers

If the wavelength of the wave is increased to 10m and the speed stays the same, the frequency of the wave will be halved i.e. 60Hz.

What is the relationship between frequency and wavelength?

Wavelength is the length of a single cycle of a wave, as measured by the distance between one peak or trough of a wave and the next.

The wavelength is often designated in physics as λ, and corresponds to the velocity of the wave divided by its frequency.

λ = v/f

This equation reveals that the wavelength is inversely proportional to the frequency of a wave. Hence, if the wavelength of the wave in this question is increased to 10m, the frequency will decrease by half i.e. 60Hz.

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A ball thrown straight upward returns to its original level in 2.5 seconds. A second ball is thrown at an angle of 40 degrees above the horizontal. What is the initial speed ball if it also returns to its original level in 2.5 seconds?

Answers

Answer:

The velocity is \(u = 19.1 \ m/s\)  

Explanation:

From the question we are told that

  The time taken by the ball is  t =  2.5 seconds

  The angle made with the horizontal is \(\theta = 40^o\)

Generally the vertical component of the initial velocity is mathematically represented as

         \(u_y = u sin (\theta )\)

Generally at maximum height of the ball the velocity is  v  =  0 m/s and  the time take to reach this maximum height is

    =>         \(t_m = \frac{t}{2} = \frac{2.5}{2} = 1.245 \ s\)  [This because t is duration for the to a fro travel of the ball]

Generally from kinematic equation

        \(v = u_y + gt\)

Here  \(g = -9.8 m/s^2\) given that the direction is against gravity

=>     \(0 = u sin (40) - 9.8 * [1.25]\)

=>     \(0 = 0.6428u - 12.25\)  

=>     \(u = 19.1 \ m/s\)  

A seashell is suspended in the air at rest by two strands of spider silk. Each strand of silk makes an angle of 75 degrees above the horizontal, and experiences a tension of 1.42 N.

What is the mass of the seashell?

Answers

The mass of the seashell suspended by the two strands of spider silk is 0.28 kg.

The given parameters:

Tension on each strand of silk, T = 1.42 NAngle of inclination of each strand, θ = 75⁰

The mass of the seashell at equilibrium is calculated by applying Newton's second law of motion;

\(\Sigma F = 0\\\\T_1 sin(\theta) + T_2 sin(\theta) - W = 0\)

where;

W is the weight of the seashell

The weight of the seashell is calculated as;

\(1.42 \times sin(75) \ + \ 1.42 \times sin(75) \ - W = 0\\\\2.743 - W = 0\\\\W = 2.743 \ N\)

The mass of the seashell is calculated as follows;

\(W = mg\\\\m = \frac{W}{g} \\\\m = \frac{2.743}{9.8} \\\\m = 0.28 \ kg\)

Thus, the mass of the seashell suspended by the two strands of spider silk is 0.28 kg.

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PLEASE HELP!!Chemical reactions can be recognized by the presence of heat, light, or gas formation. The ultimate outcome for any chemical reaction is the

A. change from a solid to a liquid.
B. presence of sound.
C. formation of a new chemical substance.

Answers

Answer:

C

Explanation:

because it's new chemical substances


An individual with a mass of 105 kg moves forward with a momentum of 575 kg-m/s. How fast are they traveling?

Answers

Answer:

5.47 m/s

Explanation:

p=ma

575=105v

v=575/105

v=5.47 m/s

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(11%)+problem+5:+suppose+a+conducting+rod+is+45.5+cm+long+and+slides+on+a+pair+of+rails+at+3.25+m/s.

Answers

Given a conducting rod that is 45.5 cm long and sliding on a pair of rails at a velocity of 3.25 m/s, we need to determine the magnitude and direction of the induced voltage when it passes through a magnetic field of 0.85 T.

To calculate the induced voltage, we can use Faraday's law of electromagnetic induction, which states that the induced voltage is equal to the rate of change of magnetic flux through the circuit. The formula for induced voltage is given by:

V = B * L * v

Where:

V is the induced voltage,

B is the magnetic field strength,

L is the length of the conducting rod perpendicular to the magnetic field, and

v is the velocity of the conducting rod.

In this case, the length of the rod perpendicular to the magnetic field is the same as the length of the rod itself, so L = 45.5 cm = 0.455 m. The magnetic field strength is given as 0.85 T, and the velocity is 3.25 m/s. Substituting these values into the formula, we have:

V = 0.85 T * 0.455 m * 3.25 m/s

V = 1.1368 V

Therefore, the magnitude of the induced voltage is approximately 1.1368 volts. The direction of the induced voltage can be determined using the right-hand rule, which states that if you point your right thumb in the direction of the velocity vector (from the rod's starting point to its endpoint), and your fingers in the direction of the magnetic field, then the direction in which your palm faces represents the direction of the induced voltage.

In conclusion, the magnitude of the induced voltage is 1.1368 volts, and the direction can be determined using the right-hand rule.

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A ball (A) of mass 1.4kg is moving with a speed of 3.7m/s collides with a 0.55kg ball (B) which is at rest. If Ball A is going 2.3m/s after the collision, what will the velocity of Ball B be after the collision?

Answers

Answer:

5.94m/s

Explanation:

Using the law of conservation of momentum;

mAuA+ mBuB = mAvA+mBvB

Substitute the given values

1.4(3.7) + 0.55(0) = 1.4(2.3) + 0.55vB

5.18 + 0 = 3.22 + 0.55vB

5.18 - 3.22 = 0.55vB

1.96 = 0.33vB

vB = 1.96/0.33

vB = 5.94m/s

Hence the velocity of Ball B be after the collision is 5.94m/s

How do you test hydrogen gas

Answers

Explanation:

A splint is lit and held near the opening of the tube, then the stopper is removed to expose the splint to the gas. If the gas is flammable, the mixture ignites. This test is most commonly used to identify hydrogen, which extinguishes with a distinctive 'squeaky pop' sound.

Answer:

You can test for hydrogen gas by putting a burning splinter near the gas. The splinter will gives out a 'pop' sound (mini explosion) if it is hydrogen gas

The height of a helicopter above the ground is given by h = 3.0 t^2, where h is in meters and t is in seconds. After 5.0 s, the helicopter releases a small mailbag. How long after its release does the mailbag Preach the ground

Answers

Answer:

3.91 s

Explanation:

From the question,

The height of the helicopter is given as

h = 3t²......................... Equation 1

After 5 seconds, The height of the helicopter is given as

h = 3(5²)

h = 3×25

h = 75 m.

Note: The small mailbag falls under gravity.

Hence,

h = ut + 1/2(gt²)....................... Equation 2

Where u = initial velocity of the mailbag, t = time, h = height, g = acceleration due to gravity of the mail bag.

Given: h = 75 m, u = 0 m/s ( at the maximum height).

Constant: g = 9.8 m/s²

Substitute these values into equation 2

75 = 0(t) +1/2(9.8t²)

solve for t

1/2(9.8t²) = 75

4.9t² = 75

t² = 75/4.9

t² = 15.31

t = \(\sqrt{15.31}\)

t = 3.91 s

Question 5 of 10
Which change to a circuit is most likely to decrease its electrical power?
A. Increase its voltage and increase its current.
B. Decrease its voltage and decrease its current.
C. Increase its voltage and decrease its current.
D. Decrease its voltage and increase its current.

Answers

"Increase its voltage and decrease its current" results change to a circuit that is most likely to decrease its electrical power.The correct option is C

Electrical power is calculated as the product of voltage and current (P = V * I). By increasing the voltage and decreasing the current, the overall power of the circuit will decrease.

The explanation for why the other options are not true:

A. Increase its voltage and increase its current: Increasing both voltage and current would result in an increase in electrical power. This contradicts the requirement of decreasing the power mentioned in the question.

B. Decrease its voltage and decrease its current: Decreasing both voltage and current would also result in a decrease in electrical power. This contradicts the requirement of decreasing the power mentioned in the question.

D. Decrease its voltage and increase its current: Decreasing the voltage and increasing the current would not necessarily lead to a decrease in power. Depending on the specific values of voltage and current, the power could increase or decrease. Therefore, this option does not guarantee a decrease in electrical power.

Hence, the correct answer is option C.

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The following sentence contains three kinds of numbers: cardinal, ordinal and nominal. The student with identification number 87 earned a 93 on test 4. a. 93 is__ b. 87 is__ c. 4 is__ Si al doble de 3,4 se le resta el triple de 4,3 resulta K(t)=10t-19K(-7)=?Someone please help me What are the three main goals of American foreign policy? The wipeout ski company manufactures skis for beginners. Fixed costs are $30 Why is it important to stay objective when talking about health? A rental car company is running two specials. Customers can pay $50 to rent a compact car for the first day plus $6 for each additional day, or they can rent the same car for $40 the first day and $8 for every additional day beyond that. Camilla notices that, given the number of additional days she wants to rent the car for, the two specials are equivalent. How much would Camilla pay in total? What's the reproductive of adolescent _______ is the number of participants who discontinue use of a product or service. sebuah Mobil memerlukan Benson sebanyak 45 liter until menempuh jarak 480 km, jika Mobil tersebut menempuh jarak 320 km, maka banyak bensin Yang diperlukan adalah...jelaskan ya.. each loaf of pumpkin bread calls for 3/4 cups of raisins. About how many loaves can be made from 10 cups of raisins? I have to find out which quadratic equations are in standard form? The us house of representatives was designed to? Compute the following limit using L'Hospital's rule if appropriate. Use INF to denote oo and MINF to denote -oo. lim x -> [infinity] (1 - 4/x)^x = Assume China participates in free trade and is a price taker in the world market. Analyse the effect of an increase in the world price of plastic toys on the domestic market in China. Who gains and who loses from the increase of the world price? Illustrate your analysis with a diagram. (China exports plastic toys) The area of this circle is 36 cm2. What is its radius? How much money is collected in tolls if 55 two axle cars cross the bridge? Type your answer in acomplete sentence. ACD is a triangle.BCDE is a straight line.E-142DFind the values of x, y and z.yX =y =Z=271AN53 XCB 1000 gram piece of metal has a volume of 25 ml what is its density 1. Samuel does his job good/well. 2. Be carefully/careful with my bag3. Does Liam always arrive lately/late to school?4. Jim thinks that the task is easy/easily.