A closed system consists of a pendulum that is swinging back and forth. If
the pendulum's kinetic energy decreases, what else must happen to the
energy of the system?
a
A. Its gravitational potential energy must decrease.
B. Its total mechanical energy must increase.
O C. Its total mechanical energy must decrease.
O D. Its gravitational potential energy must increase.

Answers

Answer 1

Answer:

The correct choice is D. Its gravitational potential energy must increase

Explanation:

Conservation of Mechanical Energy

The total amount of mechanical energy, in a closed system in the absence of dissipative forces like friction or air resistance, remains constant.

This means that energy cannot disappear or appear and that potential energy can become kinetic energy or vice versa.

In a closed system like a pendulum, two types of energies are considered: Gravitational potential (U) and kinetic (K). Thus, the sum of both energies must remain constant in time.

Suppose the pendulum is at a state where U=150 J, and K=350 J. The total mechanical energy is:

M = 150 J + 350 J = 500 J

If the kinetic energy decreases to a new value, say K = 200 J, then the gravitational potential must increase to compensate for this new condition, that is: U = 300 J

The correct choice is D. Its gravitational potential energy must increase

Answer 2

Taking into account the definition of kinetic, potencial and mechanical energy, the correct answer is option D:  If  the pendulum's kinetic energy decreases Its gravitational potential energy must increase.

Kinetic energy

Kinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.

Kinetic energy is defined as the amount of work necessary to accelerate a body of a given mass and at rest, until it reaches a given speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its state of rest by applying a force.

Potential energy

On the other hand, potential energy is the energy that measures the ability of a system to perform work based on its position. In other words, this is the energy that a body has at a certain height above the ground.

Gravitational potential energy is the energy associated with the gravitational force. This will depend on the relative height of an object to some reference point, the mass, and the force of gravity.

Mechanical energy

Finally, mechanical energy is that which a body or a system obtains as a result of the speed of its movement or its specific position, and which is capable of producing mechanical work. Then:

Potential energy + kinetic energy = total mechanical energy

The principle of conservation of mechanical energy indicates that the mechanical energy of a body remains constant when all the forces acting on it are conservative (a force is conservative when the work it does on a body depends only on the initial and final points and not the path taken to get from one to the other.)

Therefore, if the potential energy decreases, the kinetic energy will increase. In the same way, if the kinetics decreases, the potential energy will increase.

This case

This principle can be applied in this case. The mechanical energy of the pendulum remains constant when all the forces acting on it are conservative.

So, the correct answer is option D:  If  the pendulum's kinetic energy decreases Its gravitational potential energy must increase.

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Related Questions

A hot, just-minted copper coin is placed in 101 g of water to cool. The
water temperature changes by 8.39°C and the temperature of the coin
changes by 68.0°C. What is the mass of the coin? Disregard any energy
transfer to the water's surroundings.

Answers

Answer:the specific heat is the measure of how much heat per unfit mass required to raise the temperature by 1 degrees Celsius.the formula is given as Q= cm T where

Q= the amount of heat added

C= specific heat of a substance

T= change in temperature in degrees Celsius

Q=(4186 j/kg degrees Celsius (.109 kg) (8.93- degrees Celsius)=4974.53J

Explanation:

The mass of the copper coin placed in 101g of water is 135.3g.

COLORIMETER:

The mass of the copper coin can be calculated using the following expression:

Since; Q = mc∆T

Where;

Q = heat absorbed or releasedm = mass of substancec = specific heat capacity of substance∆T = change in temperature

mc∆T (water) = mc∆T (copper)

According to this question;

COPPER METAL:

m = ?c = 0.385 J/g°C∆T = 68°C

WATER:

m = 101gc = 4.18 J/g°C∆T = 8.39°C

101 × 4.18 × 8.39 = (0.385 × m × 68)

3542.09 = 26.18m

m = 3542.09 ÷ 26.18

m = 135.3g

Therefore, the mass of the copper coin placed in 101g of water is 135.3g.

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x = yz
How do you solve for z?

Answers

Answer. z=x/y. Isolate “z” by dividing “y” from both sides.
Explanation. Treat the variables like any other number(s). We can plug in numbers but you don’t have to. We must isolate z to get the answer. To do this, divide both sides by y and you get your answer of z=x/y. Hope this helps, let me know if it’s correct so others can use it :)
Good luck.

if 128 v is required to push 4.00 A of current though a resistor, what is the resistance

Answers

Answer:

32.0 Ω

Explanation:

Ohm's law:

V = IR

128 V = (4.00 A) R

R = 32.0 Ω

If 128 volts are required to push 4.00 A of current through a resistor, then the resistance of the resistor is 32 ohms, and Ohm's Law is used to solve for the resistance of the resistor.

What is the calculation of resistance?

Ohm's Law is a fundamental law of electricity that relates the three basic electrical quantities of voltage, current, and resistance, and states that the current flowing through a conductor is directly proportional to the voltage applied across it and is calculated below,

Ohm's Law is used to solve for the resistance of the resistor

Ohm's Law: V = IR

(Here, V =the voltage (in volts), I =the current (in amperes), and R =the resistance (in ohms) )

Given , 128 V is required to push 4.00 A of current through the resistor, one can substitute these values into Ohm's Law and R is solved,

R = V/I

R = 128 V / 4.00 A

R = 32 Ω

Hence, if 128 volts are required to push 4.00 A of current through a resistor, then the resistance of the resistor is 32 ohms.

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Q.) Miscellaneous conversations. a) mass=120*10^8 g (Convert this value in mg and kg Write in standard form after converting) b) length=200000*10^3 Convert this value in micrometres cm and km Write in standard form after converting

Answers

Answer:

a. Convert  120 × 10⁸ g to i mg = 1.2 × 10¹³ mg ii. to g = 1.2 × 10⁷ kg

b. Convert 200000 × 10³ m to i. micrometers = 0.2 × 10³ μm  ii. to cm = 2 × 10⁶ cm iii. to km = 2 × 10⁵ km

Explanation:

a. i. To convert the mass = 120 × 10⁸ g to mg, We know that 1000 mg = 10³ mg = 1 g, Since we are converting to mg, 120 × 10⁸ g = 120 × 10⁸ × 1g = 120 × 10⁸ × 10³ mg = 120 × 10¹¹ mg = 1.2 × 10² × 10¹¹ mg = 1.2 × 10¹³ mg

ii. To convert the mass = 120 × 10⁸ g to kg, We know that 1000 g = 10³ g = 1 kg, 1 g = 10⁻³ kg. Since we are converting to kg, 120 × 10⁸ g = 120 × 10⁸ × 1g = 120 × 10⁸ × 10⁻³ kg = 120 × 10⁵ kg = 1.2 × 10² × 10⁵ kg = 1.2 × 10⁷ kg

b. i.To convert the length = 200000 × 10³ m to micrometers, We know that 1/1000000 μm = 10⁻⁶ mg = 1 m, Since we are converting to micrometers, μm, 200000 × 10³ m = 200000 × 10³ × 1 m = 200000 × 10³ ×  1/1000000 μm = 200000/1000000 × 10³ μm = 0.2 × 10³ μm

ii. To convert the length = 200000 × 10³ m to cm, We know that 100 cm = 10² cm = 1 m, 1 m = 10⁻² cm = 1/100 cm. Since we are converting to cm, 200000 × 10³ m = 200000 × 10³ × 1 m = 200000 × 10³ × 1/100 cm = 200000/100 × 10³ cm = 2000 × 10³ cm  = 2 × 10³ × 10³ cm = 2 × 10⁶ cm

iii. To convert the length = 200000 × 10³ m to km, We know that 1000 m = 10³ m = 1 km, 1 m = 10⁻³ km = 1/1000 km Since we are converting to km, 200000 × 10³ m = 200000 × 10³ × 1 m = 200000 × 10³ ×  1/1000 km = 200000/1000 × 10³ km = 200 × 10³ km = 2 × 10² × 10³ km = 2 × 10⁵ km

much like a battery these generate electricity from chemical events

Answers

The term you are looking for is "chemical battery". Chemical batteries work by converting chemical energy into electrical energy through a series of chemical reactions. These reactions take place within the battery's cells, which are composed of two electrodes and an electrolyte.

When the battery is connected to a circuit, the chemical reactions produce an electrical current that can be used to power devices. Chemical batteries are widely used in many applications, including consumer electronics, electric vehicles, and renewable energy systems. They are a crucial component of our modern technological society, and ongoing research is focused on developing more efficient and sustainable battery technologies to meet growing energy demands.

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All interactions between the atmosphere and the geosphere involve

gases or particles in air and water

water and living things.

soil and gases or particles in the air

soil and living things

Answers

Answer:

The geosphere consists of the solid Earth and the atmosphere consists of the gaseous components in the air. Thus, the answer is C.

Explanation:

Answer:

C

Explanation:

A tsunami hits northern California at a frequency of 0.25 Hz and a wavelength of 8000 m. What is the speed of the wave?​

Answers

Answer:

2000 m/s

Explanation:

The speed of a wave is it's frequency * wavelength. In this case, the frequency is 0.25 Hz (waves per second) and the wavelength is 8000m. So the speed of the wave will be 0.25Hz * 8000m which is 2000 meters per second.

A tsunami hits northern California at a frequency of 0.25 Hz and a wavelength of 8000 m. What is the

A tsunami when hits north California, its speed will be 2000m/s.

What is tsunami?

The tsunami caused by the movement of tectonic plates at the sea or ocean floor or due to large volcanic activities . These are high energy waves that can destroy everything.

What is speed?

Speed was the pace as well as the direction of an object's movement, whereas speed would be the time rate whereby an object is traveling along a path. In other words, velocity is just a vector, whereas speed would be a scalar value.

In the question, given data is ,

frequency (n) = 0.25 Hz.

Wavelength (λ) = 8000msince

speed of wave  (v) = n.λ

on putting values.    

v = 0.25×8000 =2000m/s

Hence, the speed of the wave is 2000m/s.

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the coasting car stops 15m higher than where it started coasting. find the velocity when it began coasting, assuming no energy is dissipated.

Answers

The velocity of the car when it began coasting was approximately 17.2 m/s.

If a car is coasting without any external force acting on it (such as friction), then its initial kinetic energy is converted entirely into potential energy as it moves uphill. Therefore, we can use the principle of conservation of energy to solve this problem.

The principle of conservation of energy states that the total energy of a closed system (in this case, the car and the Earth) remains constant over time. Therefore, the initial kinetic energy of the car is equal to the potential energy gained as it moves uphill. Mathematically, we can express this as:

1/2 mv^2 = mgh

where:

m = mass of the car

v = initial velocity of the car when it began coasting

g = acceleration due to gravity (9.8 m/s^2)

h = height gained by the car (15 m)

We can simplify this equation by canceling out the mass (m) on both sides:

1/2 v^2 = gh

Substituting the given values, we get:

1/2 v^2 = 9.8 m/s^2 * 15 m

v^2 = 2 * 9.8 m/s^2 * 15 m

v = √(2 * 9.8 m/s^2 * 15 m)

v ≈ 17.2 m/s

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A 40kg box of junk food is being pushed along a wooden floor with a force of 100N. If the coefficient of friction is 0.2, what will be the acceleration of the box? Remember to show the equation you are using, then substitutions, then final answer.

Answers

Is there a picture to go with this?

write an expression for the magnitude of the average net force, fb, that the boxer must apply to his fist to achieve the given velocity. (write the expression in terms of m, v and t.)

Answers

F b = (m * v) / t is the formula for the amount of average net force needed to reach a specific velocity.

What is the average velocity's magnitude formula?

Average speed is determined by dividing the total distance you travelled by the total time, whereas average velocity is determined by dividing your displacement (a vector pointing from your initial position to your end position) by the whole time.

The following formula can be used to determine the average net force, F b, necessary to reach a specific velocity, v:

F_b = (m * v) / t

Its net force, which is inversely related to its mass, is:

a = F_net / m

The final velocity can be related to the acceleration and time using the following kinematic equation because the fist's velocity is attained from rest:

v = a * t

When we enter the acceleration expression from Newton's second law into this equation, we obtain:

v = (F_net / m) * t

To solve for the net force by rearranging this equation, we obtain:

F_net = (m * v) / t

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How many boxes of potatoes does the Mayflower need if each person gets 3 potatoes a day?

How many burlap bags of cabbage need to be stored if each person will receive 4 cups of cooked shredded cabbage per day?

Answers

Using the appropriate arithmetic operation, the amount of potatoes and cabbage require for the voyage are 19998 and 26664 respectively.

Number of men = 47Number of women = 32Number of children = 22 Number of voyage days

Total number of passengers = (47 + 32 + 22) = 101

1.)

If each person gets 3 potatoes per day :

Number of potatoes needed per day = (3×101) = 303

Number of potatoes needed for entire voyage = (303 × 66) = 19998 potatoes.

2.)

If each person gets 4 cabbage per day :

Number of cabbage needed per day = (4×101) = 404

Number of cabbage needed for entire voyage = (404 × 66) = 26664 cabbages.

Hence, the number of cabbage needed for the voyage would be 26664 cabbages.

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Complete the following sentence: How much you pay in taxes depends on _________________________.

Answers

Answer:

How much you pay in taxes depends on the amount of your taxable income

Explanation:

The total amount expected to be payed as taxes is a factor of the amount of taxable income earned within the given tax period.

The taxable income is found by subtracting the amount of deductions and exemption allowed in the tax year from the gross income. It is also specified as the adjusted gross income

The set marginal  tax rate indicates the percentage of the taxable income that is to be paid as taxes, such that there are three different ranges or tax brackets and taxes are paid according to the bracket to which a taxable income belongs.

2 p
A neutral sodium atom has 11 protons, and a mass number of 23, how
many electrons does it have? *
11
12
23
34

Answers

Answer:

It has 11 electrons 23_11=11

sound is detected when a sound wave causes the eardrum to vibrate. typically, the eardrum has a diameter of 8.4mm in humans. how much energy is delivered to the eardrum each second when someone whispers(20db) in your ear?

Answers

Sound is detected when a sound wave causes the eardrum to vibrate. typically, the eardrum has a diameter of 8.4mm in humans. 5.54 watts of energy is delivered to the eardrum each second when someone whispers (20 dB) in your ear.

To calculate the energy delivered to the eardrum each second when someone whispers in your ear, we need to consider the sound intensity and the effective area of the eardrum.

Given:

Diameter of the eardrum (d) = 8.4 mm = 0.0084 m

Sound intensity (I) = 20 dB

First, we need to convert the diameter of the eardrum to radius (r):

r = d / 2

r = 0.0084 m / 2

r = 0.0042 m

The effective area of the eardrum (A) can be calculated using the formula for the area of a circle:

A = π * r²

A = π * (0.0042 m)²

A = 0.0554 m²

Next, we need to convert the sound intensity from decibels (dB) to watts per square meter (W/m²). The formula for this conversion is:

I (W/m²) = \(10^{(I (dB) / 10)}\)

I (W/m²) = \(10^{(20 dB / 10)}\)

I (W/m²) = \(10^{2}\)

I (W/m²) = 100 W/m²

Now, we can calculate the energy delivered to the eardrum each second (E) using the formula:

E = I * A

E = 100 W/m² * 0.0554 m²

E ≈ 5.54 W

Therefore, approximately 5.54 watts of energy is delivered to the eardrum each second when someone whispers (20 dB) in your ear.

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30 12
w
Find the total
equivalent
resistance for the
circuit.
40 12
w
9.0V
50 Ω
2012 10 12
Reg = [?] 12

Answers

Answer:

6

.40 recharge

1.0v

45.0v

if the ball is traveling at 140 km/h just before it reaches the bat, what is the magnitude of the average force exerted by the bat on it if the collision lasts 7.0 ms ?

Answers

To find the collision rate, known the magnitude.

What is magnitude?

Magnitude typically refers to size or distance. By comparing the size and motion speed of the thing, we can relate magnitude to movement. The object's or quantity's size determines its magnitude.

What is mean by collision rate?

The frequency of collisions between a single particle of radius m and particles with masses ranging from (m1, m1 + m1) to (m, m1) is proportional to their concentration, n(m1) m1, where (m, m1) is the rate constant for collisions between the two particles of masses m and m1 and depends on the process. 

u=140kmph

t=7.oms

v=0

E=M(V-U)/t

⇒m(0-140)/0.007×5/18m/s

⇒5555.55 (m) N

E=(5555.55) (mass) N

Therefore, the collision lasts is 5555.55(m) N.

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Spacecraft measurements near Venus indicate that the planet has
-a very powerful magnetic field, much stronger than that of Earth.
-a magnetic field that varies in concert with the 11-year solar activity cycle and is linked to it via the solar wind.
-no planetwide magnetic field.
-a variable planetwide magnetic field like Eart

Answers

A. Spacecraft measurements near Venus indicate that the planet has a very powerful magnetic field, much stronger than that of Earth.

Venus is one of the four terrestrial planets in the solar system with a magnetic field, along with Earth, Mercury, and Mars. The Venusian magnetic field is believed to be generated by the planet's iron-rich core, similar to the magnetic fields of the other terrestrial planets.

However, the Venusian magnetic field is much weaker than that of Earth, and it is not strong enough to provide significant protection from the solar wind or radiation.

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Can an object have zero velocity and nonzero acceleration at the same time give examples.

Answers

Yes, an object can have zero velocity and non-zero acceleration at the same time.

Let's take an example of a tennis ball. If we throw the tennis ball vertically upward, the ball will have zero velocity at the highest point. At that point, the gravity is still acting downwards on the tennis ball. At this point, the ball has zero velocity and accelerates downward with gravitational acceleration = 9.8m/s.

Another example is oscillatory motion. In oscillatory motion, the acceleration is always opposite to the velocity. When the velocity becomes zero at the extreme position the body has non-zero acceleration.

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the magnetic field of a wave propagating through a certain nonmagnetic material is given by _____

Answers

The magnetic field of a wave propagating through a certain nonmagnetic material can be described by the Maxwell's equations, which govern the behavior of electromagnetic waves.

In particular, the magnetic field is related to the electric field and the rate of change of the electric field by the equation known as Faraday's law. This law states that a changing magnetic field induces an electric field, and vice versa.

However, since the material in question is nonmagnetic, there are no free magnetic charges that can interact with the electromagnetic wave. Therefore, the magnetic field is solely due to the changing electric field, which in turn is caused by the oscillation of charged particles in the material. The exact form of the magnetic field depends on the geometry of the wave and the properties of the material, such as its permittivity and conductivity.

In summary, the magnetic field of a wave propagating through a nonmagnetic material is determined by Faraday's law and the interaction of the electric field with charged particles in the material.

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a stone is thrown vertically upward with a speed of 24.2m/s. how fast is it moving when it is at a height of 14m?

Answers

To find the speed of the stone when it is at a height of 14m, we can use the principles of projectile motion and conservation of energy.

At the highest point of its trajectory, the stone momentarily comes to rest before falling back down. At this point, all of its initial kinetic energy is converted into gravitational potential energy.

Using the conservation of energy, we can equate the initial kinetic energy to the potential energy at a height of 14m:

(1/2)mv^2 = m g h

Where:

m = mass of the stone (which cancels out)

v = velocity of the stone

g = acceleration due to gravity

h = height

Rearranging the equation, we can solve for v:

v = sqrt(2gh)

Substituting the values, we get:

v = sqrt(2 * 9.8 m/s^2 * 14 m) = 18.92 m/s

Therefore, the stone is moving at a speed of approximately 18.92 m/s when it is at a height of 14m.

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in the international space station which orbits earth, astronauts experience apparent weightlessness because

Answers

Answer:

because there isn't any gravity there

If the input force on the
chopsticks from the hand is 3 N, what is the output
force on the piece of food the chopsticks pick up?

Answers

The output force on the piece of food the chopsticks pick up is mechanical advantage times 3 N.

What is mechanical advantage?

The force amplified by utilising a tool, mechanical device, or machine system is known as mechanical advantage. To achieve the desired output force amplification, the gadget trades off input forces against movement.

Mathematically:

mechanical advantage = output force/input force

Given that input force = 3 N.

Hence, output force = mechanical advantage × 3 N.

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A uniform magnetic field B has a strength of 5.5 T and a direction of 25.0° with respect to the +x-axis. A proton (1.602e-19)is traveling through the field at an angle of -15° with respect to the +x-axis at a velocity of 1.00 ×107 m/s. What is the magnitude of the magnetic force on the proton?

Answers

The magnitude of the magnetic force on the proton is 4.31 × 10⁻¹¹ N.

Given values: B = 5.5 Tθ = 25°q = 1.602 × 10⁻¹⁹ VC = 1.00 × 10⁷ m/s Formula: The formula to calculate the magnetic force is given as;

F = qvBsinθ

Where ;F is the magnetic force on the particle q is the charge on the particle v is the velocity of the particle B is the magnetic field strengthθ is the angle between the velocity of the particle and the magnetic field strength Firstly, we need to determine the angle between the velocity vector and the magnetic field vector.

From the given data, The angle between velocity vector and x-axis;α = -15°The angle between magnetic field vector and x-axis;β = 25°The angle between the velocity vector and magnetic field vectorθ = 180° - β + αθ = 180° - 25° - 15°θ = 140° = 2.44346 rad Now, we can substitute all given values in the formula;

F = qvBsinθF

= (1.602 × 10⁻¹⁹ C) (1.00 × 10⁷ m/s) (5.5 T) sin (2.44346 rad)F

= 4.31 × 10⁻¹¹ N

Therefore, the magnitude of the magnetic force on the proton is 4.31 × 10⁻¹¹ N.

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A body weighs 0.30N in air. 0.25N when fully immersed in water and 0.27N in a liquid. Calculate the relative density of the liquid.​

Answers

Answer:

0.6

Explanation:

A body weighs 0.30N in air. 0.25N when fully immersed in water and 0.27N in a liquid. Calculate the relative

View the image below and answer the question.





The illustration above is an example of which of Newton's Laws?

a
Universal Law of Gravitation
b
Newton's Second Law
c
Newton's First Law
d
Newton's Third Law

View the image below and answer the question.The illustration above is an example of which of Newton's

Answers

Answer:

C. Newton's First Law of Motion

Explanation:

As the car comes to an abrupt stop, the body is still moving forward, and is moved back by the seatbelt, an outside force. If not for the seatbelt, the body would continue forward until acted on by the car itself, or thrown out of the car.

Answer:

1st law

Explanation:

plain why does the water volume in the graduated cylinder match the sphere’s volume?

Answers

The water value in the graduated cylinder equals to the spheres volume because both water and spirit occupy similar space.

A light bulb consumes 150 J of electrical energy per second but only emits 15 J of light energy per second. Calculate the efficiency of the bulb.​

Answers

Answer:

10% efficiency

Explanation:

Formula for efficiency :

⇒ Efficiency (η) = Output energy (E₂) / Input energy (E₁)

===============================================================

Given :

⇒ Input Energy (E₁) = 150 J

⇒ Output Energy (E₂) = 15 J

=============================================================

Solving :

⇒ η = 15/150

⇒ η = 1/10

⇒ η = 10% efficiency

Look at figure D . Explain what will happen if a larger mass it put on the force meter

Answers

it will experience great force

Which system is used for transporting molecules to the cells?

Answers

Answer:

Water, carbon dioxide, and oxygen are among the few simple molecules that can cross the cell membrane by diffusion

Explanation:

Which animals are cold-blooded, obtain dissolved oxygen in water through gills, have scales, have fins, and live in water

Answers

Answer:

Sea fish

Explanation:

Sea fish doesn't breath through their gills but dissolved oxygen in water through gills

Other Questions
how many protons and how many neutrons are in (a) 3he, (b) 20ne, (c) 60co? Double-clicking any failed logon attempt in the Even Viewer will open the:______. Husband and Wife have two children and decide to divorce. Husband later remarries. He is concerned about his new wife inheriting his estate without sufficient assets being distributed to his two children. Which of the following trusts would be most appropriate to ensure the children receive sufficient assets from Husband's estate? A) A power of appointment trust that names the new wife as the sole income beneficiary and qualifies for the marital deduction, and the children as the remainder beneficiaries B) A revocable living trust that names the new wife as the income beneficiary with a general power of appointment, and the children as the remainder beneficiaries C) A testamentary trust that names the new wife as the sole beneficiary and states that it is Husband's wish for the new wife to distribute 10% of the assets to each child upon their 25th birthdays D) A qualified terminable interest property trust (QTIP) that names the new wife as the income beneficiary and the children as the remainder beneficiaries, for which the Graph y=47x2.Use the line tool and select two points on the line. over time, hester comes to believe that wearing the scarlet letter "endowed her with a new sense." what is this new sense, and what effect does it have on her? cite the text to defend your response. What technique is being used in this image? aPlain-Folks Appeal bBandwagon cglittering generalities dName-Calling How do you think this percentage would compare to that of manufacturing corporations? How would you explain this difference? Complete with the correct form of ser or estar.16. Ella _______________ inteligente. This country was once home to the Maya and Aztec civilizations,came under spanish control in 1500s, and since 1917 has been a representative demcratic republic with a presidential system Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to confirm your results. (If an answer does not exist, enter DNE.) x=-1+9, y--3tHorizontal tangents(x, y) =smaller x-value(x, y) =larger x-valueVertical tangent(x, y) = 1 The ___________is thesmallest functional and structural unit of allliving things. Name two triangles that are congruent by ASA.Choose the correct answer below.AMNP = ATUVAMNP = AQRSAQRS = ATUV The ___________________ are a very important of the cardiovascular system because they connect the heart to every cell in the body.a. blood vesselsb. nerve stemsc. lymph nodesd. none of the above Rank the same transitions as in part(i) according to the wavelength of the photon absorbed or emitted by an otherwise isolated atom from greatest wavelength to smallest. which model of the atom first introduced the idea of a nucleus? Why can the grasses now grow when they couldnt earlier? what is eight times the square a number z minus three in mathematical translate? What are the plotting points? A farmer operates a tractor on a farm to fertilize crops.Suppose that shifting into third gear decreased the engine speed (rpm) while increasing the tractor speed (mph). What would be the effect of this change?A. Both area rate and flow rate would increase.B. Area rate would increase and flow rate would decrease.C. Area rate would decrease and flow rate would increase.D. Both area rate and flow rate would decrease. Valerie would like to invest a certain amount of money for three years and considers investing in a one-year bond that pays 3 percent. Valerie would then like to buy a second one-year bond that is expected to pay the one-year forward rate one year from now, and finally a third one-year bond that is expected to pay the one-year forward rate two years from now. (Hint: Assume that 2-year bonds and 3-year bonds both yield 8.000%.) If the annualized interest rate on a three-year bond is 8 percent, the forward rate of a one-year security beginning two years from now is ........... percent.