If the resistance of a circuit is doubled and the voltage remains unchanged, the current flowing in the circuit will be

Answers

Answer 1

Answer: The current flowing will be halved.

Explanation: According to Ohm's Law,

V=IR                  

that is, I=\(\frac{V}{R}\)

As R is doubled that is R=2R and V is the same that is V=V.

So, I= \(\frac{V}{2R}\)

Comparing the equations we get,

that the current flowing has reduced to half.


Related Questions

A conducting sphere has charge q and radius r. if the electric field of the sphere at a distance r=2r from the center of the sphere is 1100 n/c, what is the electric field of the sphere at r=4r?

Answers

The electric field of the sphere at r=4r is 34.38 N / C

We know that,

E = kQ / \(r^{2}\)

p = Q / V

where,

E = Magnitude of Electric field

k = Coulomb's constant

r = Radius

p = Charge density

Q = Electric Charge

V = Volume

Given that,

\(E_{2r}\) = 1100 N/C

k = 8.99 x 109 N \(m^{2}\)/\(C^{2}\).

V = 4 / 3 π \(r^{3}\)

Let us consider a charge of Q uniformly distributed throughout the sphere.

p = Q / [ ( 4 / 3 ) π \(r^{3}\) ]

Let the charge at 2r be considered as q

At 2r,

q = p * ( 4 / 3 ) π \((2r)^{3}\)

q = Q / [ ( 4 / 3 ) π \(r^{3}\) ] * ( 4 / 3 ) π 8 \(r^{3}\)

q = 8Q

\(E_{2r}\) = ( k * 8Q ) / \((2r)^{2}\)

1100 = 2 ( kQ / \(r^{2}\) )

kQ / \(r^{2}\) = 550

\(E_{4r}\) = kQ / \((4r)^{2}\) = 550 / 16

\(E_{4r}\) = 34.38 N / C

The magnitude of electric field is the strength of electric field. If the charge is higher the electric field is stronger. It is denoted using E.

Therefore, the electric field of the sphere at r=4r is 34.38 N / C

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1. What is the weight of a 12 kg dog on the moon? (acceleration of gravity is 1.63 m/s2)

Answers

3 is the answe bc it is awesome and cool

according to energy advisors, what produces the "greenest" kilowatt of electricity?

Answers

The "greenest" kilowatt of electricity is produced by renewable energy sources, such as solar, wind, hydroelectric, geothermal, and biomass.

Renewable energy sources are considered "green" because they are abundant, clean, and emit little to no greenhouse gases that contribute to climate change. These sources of energy are also sustainable and do not deplete natural resources. In contrast, traditional sources of electricity generation, such as coal, oil, and natural gas, produce significant amounts of pollution and contribute to climate change.

Energy advisors often recommend that individuals and businesses switch to renewable energy sources to reduce their carbon footprint and support sustainable energy practices. By investing in renewable energy, individuals and businesses can help to create a cleaner, healthier environment for future generations.

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a spring has a relaxed length of 5 cm and a stiffness of 150 n/m. how much work must you do to change its length from 7 cm to 12 cm? n·m

Answers

The amount of work you must do to change the length of the spring from 7 cm to 12 cm is 0.3375 N·m.

To find the work required to change the spring's length from 7 cm to 12 cm, we'll use the formula for work done on a spring, which is W = (1/2)k(x₂² - x₁²), where W is the work, k is the stiffness or spring constant, x₂ is the final length, and x₁ is the initial length.

In this case, the stiffness (k) is 150 N/m, the initial length (x₁) is 7 cm - 5 cm = 2 cm (0.02 m), and the final length (x₂) is 12 cm - 5 cm = 7 cm (0.07 m).

Plug these values into the formula: W = (1/2)(150)(0.07² - 0.02²) = (1/2)(150)(0.0049 - 0.0004) = 75(0.0045) = 0.3375 N·m

So, you must do 0.3375 N·m of work to change the spring's length from 7 cm to 12 cm.

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a small circular loop of wire of area 0.593 m2 and carrying current 2.13 amps is placed inside a solenoid having 181 coils of wire and length 0.695 meters. if the maximum torque on the small loop is measured to be 0.00363 newton-meters, what must be the absolute value of the current in amps flowing through the solenoid?

Answers

The following terms should be included in answering the student question below.A small circular loop of wire of area 0.593 m² and carrying current 2.13 amps is placed inside a solenoid having 181 coils of wire and length 0.695 meters. If the maximum torque on the small loop is measured to be 0.00363 newton-meters

Torque is defined as the force required to cause an object to rotate around a fixed axis. Torque is equal to the product of the force and the lever arm (the perpendicular distance from the axis to the line of action of the force). For the small circular loop inside the solenoid, the magnetic torque is given by:T = NIAB sinθ where T is the magnetic torque, N is the number of turns, I is the current flowing through the loop, A is the area of the loop, B is the magnetic field, and θ is the angle between the normal to the plane of the loop and the magnetic field. We can rearrange the formula to solve for the current I:I = T/(NABsinθ)Given that the torque is 0.00363 Nm, the number of turns is 181, the area is 0.593 m², the magnetic field is produced by the solenoid, and the angle θ is 90°, we can calculate the current as follows:I = (0.00363 Nm)/(181 x 0.593 m² x B x sin90°)I = 0.000034 AI = 34 µAThe absolute value of the current in amps flowing through the solenoid is therefore 34 µA or 0.000034 A.

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a(n) ""_______"" is a noninvasive roentgeno/graph/y diagnostic technique.

Answers

Computerized axial tomography is a noninvasive roentgenography diagnostic technique.

What is tomography?

Tomography can be described as imaging by sections or sectioning that uses any type of penetrating wave. The method is used in biology, radiology, archaeology, geophysics, atmospheric science, oceanography, plasma physics, astrophysics, materials science, quantum information, and other areas of science.

In some cases, the production of images will be based on the mathematical procedure of tomographic reconstruction, such as X-ray computed tomography being produced from projectional radiographs.

Most algorithms come into these two categories: filtered back projection (FBP) and iterative reconstruction (IR). Optical coherence tomography is transmission methods, they do not require movement of the transmitter to need data from different directions.

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Which object would sink in honey, which has a density of 1.4 g/cm³?

Object 1 (0.9 g/cm³)
Object 2 (1.2g /cm³)
Object 3 (0.2 g/cm³)
Object 4 (2.3 g/cm³)

Answers

Answer:

objective 4

Explanation:

i took the unit test review and the regular unit test

Object 4 with a density of 2.3 g/cm³  would sink in honey, which has a density of 1.4 g/cm³, therefore the correct option is option D.

What is density?

It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.

The mathematical formula for density is given below

ρ =m /v

where ρ is the density of the substance

m is the mass of the substance

v is the volume of the substance

As per the law of floatation, the objects those have less density than the honey do not sink in the honey which has a density of 1.4 g/cm³.

As per the given options, object 1 has a density of 0.9 g/cm³ which is less than the density of honey 1.4 g/cm³, therefore it would not sink in the honey. similarly, objects 2 and object, 3 have a density that is less than the density of the honey, therefore they would float instead of sinking in the honey.

The only object 4  has a density of 2.3 g/cm³ which is more than the density of honey, therefore it would sink on the honey.

Hence, the correct answer is object 4.

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please help!!
A 1.50 V battery has a 32.0 Ohm
resistor attached. How much
current flows through the circuit?
(Unit = A)

Answers

Answer:

0.0469

Explanation:

v=1.50

r=32.0

i=?

equation

i=v/r

i=1.50/32.0

i=0.046875

round to 3 sig figs

i=0.0469

Answer:

.0469

Explanation:

acellus

Assume a 4.094 mhz clock is used as the system clock and the systick selects it as the clock. What should the systick_load register be in order to generate a systick interrupt every mili second?

Answers

The load value for interrupts every one milliseconds is

\(\begin{aligned}&\mathrm{val}=1 \times 10^{-3} \times 4.094 \times 10^6 \\&\Rightarrow \mathrm{val}=4094\end{aligned}\)

The load value for interrupts every millisecond is

\(\begin{aligned}&\mathrm{val}=1 \times 10^{-6} \times 4.094 \times 10^6 \\&\Rightarrow \mathrm{val}=4.094\end{aligned}\)

However, we can only load integer values, therefore we apply

\(\Rightarrow v a l \approx 4\)

When the delay is 1 ms, it is accurate, but when the delay is 1 us, it is a little bit less. We are unable to provide an accurate 1 us delay interrupt because this requires a fractional value was calculated.

What does a SysTick timer do?The systick timer has an auto reload and a 24-bit countdown timer. An RTOS scheduler typically uses it to provide a periodic interrupt. The Cortex-M CPU clock is used as the default clock source for the systick timer.

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4 meters south + 3 meters North =

Answers

Answer:

Your position would be -1

Explanation:

I think that's the answer you would need to collaborate more so i can give you a clear answer.

calculate the x component and the y component of the vector with magnitude 24.0 m and direction 56.0degree

Answers

The X component was 13.4m and the Y component was 19.9m.

define magnitude ?

A crucial question in science is undoubtedly what is magnitude in physics. Magnitude is a term used to describe size or distance. We can connect the amount of the movement to the size and movement speed of the item.

The magnitude of a thing or a quantity is its size. A automobile moves at a quicker pace than a motorcycle, just like in terms of speed. In this situation, the car's speed is greater than the motorbike's. Let's now talk about what magnitude means in physics.

y=m sin(∅)

x=m cos(∅)

y=2+sin(56)=19.89

=19.89 ≈ 19.9m

x=2+cos(56)=13.42

=13.42≈13.4m

The X component was 13.4m and the Y component was 19.9m.

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A student of 4 feet tall went for swimming in a pool. He saw the depth of water in the pole less than 4 feet .Will he sink , write with reason

Answers

Answer:

he will not be drowned

Explanation:

Question says , the height of the student = 4 feet,

Depth of the pool( in feet ) be x ( say ) which is less than  4 feet,

Clearly, the depth of the pool < height of the student,

This means, if the student goes for swimming in the pool, however he does not know swimming, he will not be drowned until he is suffering from an injury or external force.

Any change in an object's velocity is caused by
A. the object's mass
B. a balanced force
C. an unbalanced force
D. the object's direction

Answers

C. An unbalanced force

Answer:

C. an unbalanced force

Explanation:

I hope it helps ❤❤

  do batteries produce or make energy

Answers

Batteries Produce energy

Answer:

Batteries are intended to store chemical energy and then it converts into electricidal energy. So overall, batteries produce energy.

Explanation:

Can you think of a case where a roller skate and a truck would have the same momentum?

Answers

Yes, it is possible for a roller skate and a truck to have the same momentum if the roller skate is moving at a high velocity and the truck is moving at a much lower velocity.

Momentum is calculated by multiplying an object's mass by its velocity, so if the roller skate has a very small mass but is moving very quickly, its momentum could be equal to a truck with a much larger mass but a slower velocity. However, it is important to note that this scenario is unlikely in real-life situations and would require specific conditions to occur. A roller skate and a truck can have the same momentum in a situation where the product of the mass and velocity for each is equal. Momentum (p) is calculated using the formula p = mv, where m is mass and v is velocity.

For example, if a roller skate with a mass of 1 kg moves at a velocity of 10,000 m/s, its momentum would be 10,000 kg·m/s. If a truck with a mass of 5,000 kg moves at a velocity of 2 m/s, its momentum would also be 10,000 kg·m/s. In this scenario, both the roller skate and the truck have the same momentum.

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Carbon dioxide undergoes a phase change called sublimation, how does a single molecule of carbon dioxide change as a result of this process in terms of its energy and physical characteristics? a. There is a physical change from a gas to a liquid; energy is released into the environment reducing the molecular movement. b. There is a physical change from the solid state to a gas state where energy between the molecules increases. c. There is a chemical change between the carbona nd oxygen resulting int he formation of oxygen gas which has more energy d. There is a chemical change as the carbon dioxide is transferred from a liquid to a solid reducing the amount of energy

Answers

The correct answer is(b). There is a physical change from the solid state to a gas state where energy between the molecules increases.

What is the process of sublimation in carbon dioxide?

During sublimation, carbon dioxide transitions directly from the solid state (dry ice) to the gas state without passing through the liquid phase. In this process, individual molecules of carbon dioxide gain energy from the surroundings, leading to an increase in their kinetic energy and molecular movement.

As a result, the carbon dioxide molecules separate from each other and form a gas. This phase change is considered a physical change rather than a chemical change since the chemical composition of carbon dioxide remains the same throughout the process.

Therefore, the sublimation of carbon dioxide results in a physical change where the molecules transition from the solid state to the gas state, gaining energy and increasing their molecular movement.

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if your face is 25.0 cm away from the ball's front surface, where is your image? follow the sign conventions

Answers

Your image is located 25.0 cm behind the ball's front surface, following the sign conventions.

When dealing with sign conventions in optics, positive distances are measured in the direction of the light propagation, and negative distances are measured opposite to it. In this case, your face is 25.0 cm away from the ball's front surface, which is considered a positive distance.

Since the ball acts like a mirror, your image will appear at the same distance but in the opposite direction, making it a negative distance. Therefore, your image is located 25.0 cm behind the ball's front surface, following the sign conventions. This ensures that your image and face are equidistant from the ball's front surface, maintaining a symmetrical relationship in the optical setup.

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Oxygen is the most abundant gas in Earth’s atmosphere true or false

Answers

Answer: false

Explanation:

Nitrogen is actually the most abundant gas in the atmosphere.

The answer to the question is false. Hope this helps you!

Answer:

false.

Explanation:

The most abundant gas in the Earth's atmosphere is nitrogen.

What are the two action-reaction force pairs when a ball is hung by a string?
Describe the direction of each of the four forces and the objects that exert those forces. Include whether they are contact or noncontact forces.

Answers

When a ball is hung by a string, there are two action-reaction force pairs:

1. The force of the ball pulling down on the string is equal in magnitude and opposite in direction to the force of the string pulling up on the ball. The direction of the force of the ball pulling down on the string is downwards, while the direction of the force of the string pulling up on the ball is upwards. Both of these forces are contact forces.

2. The force of the string pulling down on the attachment point (such as a hook or a nail) is equal in magnitude and opposite in direction to the force of the attachment point pulling up on the string. The direction of the force of the string pulling down on the attachment point is downwards, while the direction of the force of the attachment point pulling up on the string is upwards. Both of these forces are contact forces.

In summary, when a ball is hung by a string, there are two action-reaction force pairs: the force of the ball pulling down on the string and the force of the string pulling up on the ball, and the force of the string pulling down on the attachment point and the force of the attachment point pulling up on the string.

A stone that is dropped freely from the rest traveled half the total height in the second. with what velocity will it strike the ground

Answers

The stone will strike the ground with velocity of 33.5 m/s.

What is velocity:

Velocity is the directional speed as an indication of its rate of change in position observed from a particular frame of reference.velocity formula is basically displacement divided by time.

What is displacement:

It is an vector quantity with magnitude and direction.It defines as the change in position of an object.

Here,

Stone is dropped freely from rest, so it's Initial velocity will be zero.

u = 0 m/s

displacement is equal to half of total height.

y = h/2

since Stone is dropped freely, a=g ( acceleration of gravity)

According to Newton's equation of motion:

y = u* t + 1/2 (at^2)

h/2 = 0 + 1/2 (gt^2)

h = g* t^2 -----1

now at t= t+1 , displacement y = h

h = u* t + ½ g (t + 1)²

h = ½ g (t + 1)² -----2

comparing both equations,

g* t^2 = ½ g (t + 1)²

2t² = (t + 1)²

2t² = t² + 2t + 1

t² − 2t = 1

t² − 2t + 1 = 2

(t − 1)² = 2

t − 1 = ±√2

t = 1 ± √2

Since t > 0, t = 1 + √2.  

So t+1 = 2 + √2.

At that time, the speed is:

v = at + u

v = g (2 + √2) + 0

v = g (2 + √2)

If g = 9.8 m/s²,

v = 33.5 m/s.

The stone will strike the ground with velocity of 33.5 m/s.

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Which of the following would you expect to find at an oceanic-oceanic convergent boundary like the one below at the Aleutian Islands of Alaska? volcanic island arc ocean trench earthquakes all the above

Answers

At an oceanic-oceanic convergent boundary like the one found at the Aleutian Islands of Alaska, you would expect to find a volcanic island arc, an ocean trench, and earthquakes.

What is the oceanic-oceanic convergent boundary

At the Aleutian Islands of Alaska, an oceanic-oceanic convergent boundary creates a Volcanic Island Arc through subduction. Subducting plate melts in mantle from heat and pressure. Magma forms a volcanic island arc. Alaska's Aleutian Islands are a volcanic island arc.

Ocean Trench: A deep depression in the ocean floor formed by a sinking oceanic plate. Ocean trenches, deepest parts with Mariana Trench as the deepest known. Aleutian Trench formed by subduction of Pacific Plate under North American Plate.

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Briefly explain the circumstances in which velocity and acceleration of a car are
a) parallel
b) anti parallel

Answers

Explanation:

a) Velocity and acceleration of a car are parallel when the car is moving along a straight line in the same direction. For example, when a car is gaining speed as it moves forward in a straight line, both velocity and acceleration are directed in the same direction.

b) Velocity and acceleration of a car are anti-parallel when the car is moving along a straight line in the opposite direction. For example, when a car slows down while moving in a straight line, its acceleration is directed opposite to the direction of its velocity, or the other way around.

Answer:

a)

There is only one case where velocity and acceleration are parallel only when they are moving in the same direction.

b)

There are 3 cases where velocity and acceleration are antiparallel.

(i) When both are moving in different direction

   It means :

Either velocity towards +ve direction and acceleration towards -ve direction.Or, velocity towards -ve direction and acceleration towards +ve direction.It is applicable for both 2D (x-y plane) and 3D (x-y-z plane)

(ii) When the object is slowing down, where velocity and acceleration are in the opposite direction.

(iii) In case of motion reversal.

Explanation:

What is occupant kinematics?​

Answers

Occupant kinematics is referred to as the study of the motion of occupants inside of a vehicle during a crash or accident.

What is an Accident?

This refers to an incident which occurs unintentionally and suddenly thereby causing different types of harm and damage.

Occupant kinematics involves studying the motion of occupants in a crash and it is used in different types of investigations in other to know the main cause of death. It is also used in vehicle designs so as to produce safer ways and materials used in them so as to reduce the risk of serious harm to the body.

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What is meant when we say that a quantity is a vector?
I need a quick answer please ;)​

Answers

A quantity that has both magnitude and direction. It is typically represented by an arrow whose direction is the same as that of the quantity and whose length is proportional to the quantity's magnitude. Although a vector has magnitude and direction, it does not have position

What patterns are caused by the Earth, Sun, and Moon systems?

Answers

Earth's rotation and orbit and the Moon's orbit cause observable patterns (Day and night, seasons, phases of the Moon, tides).

The Earth, Sun, and Moon systems create several patterns, including the day and night cycle, seasons, lunar phases, tides, and solar and lunar eclipses. These patterns have been studied and understood by scientists for centuries and have played an important role in shaping our understanding of the universe and our place in it. Understanding these patterns is essential in comprehending the workings of the universe and the impact they have on our planet.

What patterns are caused by the Earth, Sun, and Moon systems?

The Earth, Sun, and Moon systems create several patterns, including:

Day and Night cycle: The rotation of the Earth on its axis causes the alternating cycle of day and night as different parts of the planet face towards or away from the Sun.

Seasons: The tilt of the Earth's axis (23.5 degrees) causes the seasons to change as different parts of the planet receive varying amounts of sunlight throughout the year.

Lunar Phases: The Moon orbits the Earth, causing it to appear to change shape in the sky as different amounts of sunlight reflect off its surface.

Tides: The gravitational pull of the Moon and the Sun on the Earth's oceans creates a regular cycle of high and low tides.

Solar and Lunar Eclipses: The alignment of the Earth, Sun, and Moon can cause a shadow to be cast on one celestial body by another, resulting in either a solar or lunar eclipse.

These patterns have been studied and understood by scientists for centuries and have played an important role in shaping our understanding of the universe and our place in it.

Therefore, The day and night cycle, seasons, lunar phases, tides, and solar and lunar eclipses are just a few of the patterns that the Earth, Sun, and Moon systems produce. Scientists have been analyzing and studying these patterns for centuries, and they have had a significant impact on how we view the cosmos and our place in it. Knowing these patterns is crucial to understanding how the cosmos functions and how they affect our world.

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The globe is divided into time zones, so that any given hour of the day in one time zone occurs at a different time in other time zones. For example, New York City is in one time zone and Los Angeles is in another time zone. When it is 8:00 a.m. in New York City, it is only 5:00 a.m. in Los Angeles. Explain how Earth’s motions cause this difference in times.

Answers

Answer:

The rotation of the earth on its tilted axis is the reason behind the difference in the length of the day and night time in different parts of the earth throughout the year. The annual motion of the Earth is called revolution. Since the path of the Earth is elliptical, the interval between the Earth and the Sun keeps shifting.

Explanation:

As a wave travels from one spring to another spring with a different mass, its wavelength decreases by 25%. Which statement describes the change in the speed of the wave?
a. The speed decreases by 25% because speed and wavelength are inversely proportional.

b. The speed increases by 25% because speed and wavelength are inversely proportional.

c. The speed increases by 25% because speed and wavelength are directly proportional.

d. The speed decreases by 25% because speed and wavelength are directly proportional.

Answers

The statement describes the change in the speed of the wave is d. The speed decreases by 25% because speed and wavelength are directly proportional.

Since the speed of the wave v = fλ where f = frequency of wave and λ = wavelength

Since f is constant for the wave, v ∝ λ.

So, if the wavelength decreases by 25%, the speed also decreases by 25% since the speed is directly proportional to the wavelength.

So, The statement describes the change in the speed of the wave is d. The speed decreases by 25% because speed and wavelength are directly proportional.

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2. Calculate the magnitude of the electric force between two charged balloons if one of the
balloons has a charge of 15 x 10-8 C and the other balloon has a charge of 7 x 10-7 C. Their
centers are located exactly .5 meters apart.

Answers

Answer:

F = 2.52 x 10^-3 N

Step by step explanation:

The magnitude of the electric force between two point charges can be calculated using Coulomb's law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. The formula for Coulomb's law is:

F = k * (q1 * q2) / r^2

where F is the magnitude of the electric force, k is Coulomb's constant (8.99 x 10^9 N·m^2/C^2), q1 and q2 are the charges of the two objects in Coulombs, and r is the distance between their centers in meters.

Substituting the given values, we get:

F = (8.99 x 10^9 N·m^2/C^2) * [(15 x 10^-8 C) * (7 x 10^-7 C)] / (0.5 m)^2

Simplifying the expression, we get:

F = 2.52 x 10^-3 N

Therefore, the magnitude of the electric force between the two charged balloons is 2.52 x 10^-3 N

An organism that is only one cell big and has a nucleus is most likely a member of which kingdom?

Answers

Answer:

Protista

Explanation:

Taxonomy can be defined as the process of naming, classification and description of living organisms such as plants and animals. Thus, the biological classification of living organisms based on similarities or characteristics such as eyes, number of legs, etc., is generally referred to as taxonomy.

Basically, taxonomy helps scientist to have a good understanding and knowledge when studying various organisms.

Furthermore, the eight (8) biological classification (taxonomy) used for grouping and organizing organisms are; kingdom, domain, phylum, family, order, class, species and genus.

An organism that has only one cell, big and has a nucleus is most likely a member of Protista. Thus, a Protista such as euglena, paramecium, amoeba, etc., have a nucleus and are unicellular.

A unicellular organism refers to a living organism that possess a single-cell while a multicellular organism has many (multiple) cells.

Which is NOT true of balanced forces?
A. Balanced forces will cause the motion of an object to
increase
B. Balanced forces are two equal forces pushing against
each other on an object,
C. Balanced forces do not cause a change in the motion of
an object

Answers

A is not true of balanced forces because balanced forces have a net force of zero, meaning the do not effect the object’s motion.
Other Questions
Derek will deposit $4,521.00 peryear for 17.00 years into an account that earns 9.00%. The firstdeposit is made next year. How much will be in the account 17.0years from today?SubmitAnswer forma BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!! How did Islam influence government and law? the nurse is providing nutritional teaching to a client. which food should the nurse recommend as a good source of calcium? Which equation is true of an atom with no electrical charge?O A. Number of neutrons = number of protons + number of electronsB. Number of electrons = number of neutronsC. Number of electrons = number of protonsD. Number of neutrons = number of protons Solve the differential equation. t ln (t) dr/dt + r = 3te^t He earns $25 per hour for training and $15 per hour for data entry support. Steven can work no morethan 40 hours a week. He wants to use linear programming techniques to optimize his income.Part AConstruct a model to represent the amount of time Steven can spend on data entry and training. Be sureto define your variables. Sketch a graph of your model.Part BWhile Steven would like to spend most of his time training, the number of hours spent training cannotexceed twice the number of hours doing data entry support. Steven must spend at least 10 hours eachweek on data support. Construct a model to show the constraints. Sketch a graph of your model.Part CFind the vertices of the feasible region. Show your work or explain how you found the coordinates.Part DWhat is the maximum possible amount of money Steven can earn in a week given the constraints? Roundto the nearest dollar. Validate your solution to assess the reasonableness of youPart EThe number of hours Steven worked one week resulted in a gross income of $800. From this, a portion waswithheld for benefits, retirement, and taxes. The total amount withheld from Stevens check was $264.The amount withheld for taxes was twice the amount withheld for retirement, and the amount withheldfor benefits was $24 less than the sum of retirement and taxes. Construct a system of equations that canbe used to find the amount of benefits, retirement, and taxes. Be sure to define your variables.Part FSolve the system from Part E. Validate your solution to assess the reasonableness of your model. Question 15 of 40For which sample size (n) and sample proportion () can a normal curve beused to approximate the sampling distribution?O A. n = 28; = 0.3O B. n = 28; p = 0.9O c. n = 32; p = 0.4O D. n = 32; p = 0.2 Una mujer que habla italiano es O A. francesa O B. italiana O C. espaola O D. italiano Fill in the blank: If the exchange rate is $2 = 1 pound, then a British firm will have to convert ________ pounds in order to obtain the $300,000 necessary to purchase a US made computer. The percent grade of a test varies directly with the number of correct answers. A grade of 81 percent would result from getting 27 correct answers. What would the score be if you had 32 correct answers? can someone help me with this math hw What are similarities and deference's between coastal tribes and plateau tribe Which of the following is most likely to happen to a liquid substance when the temperature is increased?molecular motion of the atoms will increase, causing it to change to a solid statemolecular motion of the atoms will decrease, causing it to change from a liquid to a solidmolecular motion of the atoms will increase, causing it to change to a gaseous statemolecular motion of the atoms will decrease, causing it to change to a gaseous state Who want or wants these for free? Which grammar is correct? Wants or want? Public assessments of elected officials, attitudes toward political organizations and social groups, and preferences about whether and how government ought to address important problems can all be classified under the heading of After they declared war on spain in 1898, the us congress passed the teller amendment. This stated that the us would help cuba gain freedom from spain but. A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.) How many ounces of almonds would be in a one-pound bag (16 ounces) of this trail mix? Let x and b be positive real numbers so that log_b(x^2) = 10. Find log_3sqrtb (1/x) Which system of equations does this graph represent?