Which of the following has kinetic energy? (1 point)

Which Of The Following Has Kinetic Energy? (1 Point)

Answers

Answer 1

Ans:

C

Explanation:

because it is moving down the stairs

Answer 2

A spring travelling down a flight of stairs has kinetic energy.

What is Kinetic energy?

Since it is moving, it would be a spring moving down a set of steps. A stretched spring, a compressed spring, and a spring at the top of a set of steps are all in motion.

Kinetic energy is a type of power that a moving object or particle possesses.

An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. A moving object or particle has kinetic energy, which depends on both its mass and its rate of motion.

Therefore, A spring travelling down a flight of stairs has kinetic energy.

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Related Questions

A car traveled to the right 4.2 km and made a 90 degree turn and traveled straight for
another 2.6 km. What is the total displacement of the car? Be sure to show your work.

Answers

Answer:

4.9 km

Explanation:

\(\sqrt{4.2^2+2.6^2}=4.9 km\)

What is the wavelength of light that shines on two slits that are 6 X 10^-5 meters apart and that angle between m=0 and m=1 interference lines is 10 degrees

Answers

Answer:

Explanation:

We can use the equation for the wavelength of light that passes through a double-slit interference pattern

λ = (d * sinθ) / m

where λ is the wavelength of light

d is the distance between the two slits

θ is the angle between the m=0 and m=1 interference lines

m is the order of the interference line.

Given that

d = 6 X 10^-5 meters

θ = 10 degrees

Interference between the m=0 and m=1 interference lines, so m = 1

Converting θ to radians:

θ = 10 degrees = 0.174533 radians

Put the values in given equation

λ = (6 X 10^-5 meters * sin(0.174533 radians)) / 1

λ ≈ 6.89 X 10^-7 meters

Therefore, the wavelength of light that shines on two slits that are 6 X 10^-5 meters apart and that angle between m=0 and m=1 interference lines is 10 degrees is approximately 6.89 X 10^-7 meters.

A 4-stroke heat engine in an automobile is
used to
A convert mechanical energy into heat
energy.
B convert heat energy into mechanical
energy.
с convert steam into solar energy.
D convert chemical energy into electrical
energy.

Answers

Answer:

b

Explanation:

convert heat energy into mechanical

anyone solve this for mw urgently please.

anyone solve this for mw urgently please.

Answers

Decrease.

What is the weight on the equator than at the Poles?

Yes, You weigh less on the equator than at the North or South Pole, but the difference is small.

Note that your body itself does not change.

Rather it is the force of gravity and other forces that change as you approach the poles. These forces change right back when you return to your original latitude.

In short, a trip to the equator is not a viable long-term weight-loss program.

Your weight is the combination of all the large-scale, long-term forces on your body. While the earth's gravity is by far the strongest large-scale force, it is not the only one.

We experience as "something pulling you down" is actually the total of all the forces and not just gravity.

The four dominant large-scale, long-term forces are:

The earth's gravity

The sun's gravity

The moon's gravity

The earth's centrifugal force

Hence, the weight of a body at the equator will be less than at the Poles.

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What is the spring constant if 85.0J of energy is stored when a spring is compressed 0.400m?
A.1060N/m
B.212N/m
C.531N/m
D.425N/m

Answers

Answer:

212N/m

Explanation:

First of all, what is spring constant
As per Hooke's law, The restoring force applied by the spring is proportional to the change in length, and restoring force is directed towards the equilibrium position. The proportionality constant is called the spring constant and it is a measure of the stiffness of the spring. So as Hooke's law

F = -Kx

Where

F -> Restoring force

K-> Spring constant

x -> change in length

the negative sign indicates it is acting toward the center

Rearranging this for the Spring constant, Spring constant formula is given by

k = Fx

Unit of Spring Constant is Newton/meter

which statements describe the Gironde ecosystem

Answers

Answer:

Gironde Ecosystem is an important biological and cultural area.

Explanation:

Find the angle between two equal forces (p) when their resultant is equal to (p)

Answers

Answer:

60°

Explanation:

It will be equilateral triangle, you can prove with the cosine theorem.

1)P^2=P^2+P^2 - 2×P×P× cos A

2) cos A= P^2 / 2× P^2 = 1/2

cos A = 1/2

A = 60°

If you wrote this question right,it will be solved like this :)

Toe toe toe toe toe toe

Three 20-o resistors are connected in series across a 120-V generator. Find the equivalent resistance of the circuit.
a. 300
C. 200
b. 600
d. 800

Answers

Answer:

600

Explanation:

Resistors that are connected in series are simply added. So three 200 ohm resistors connected in series make 200 + 200 + 200 = 600

The scientific method can easily be misinterpreted as ___________. Question 1 options: a great magical trick, or slide of hands, rather than factual an "auto mechanics" guide to Science Investigation a "cookbook" recipe for performing scientific investigations the perfect method for finding the answers to all questions

Answers

Answer:

I think the answer is  

a "cookbook" recipe for performing scientific investigations

Explanation:

Projectile Motion Practice Problems (horizontal and at an angle)
1. Josh kicks a soccer ball with a velocity of 15 m/s at an angle of 38° above the
horizontal.
a. What are the X and Y components of his velocity?
b. How long is the ball in the air?
c. How far will the ball go?

Answers

Answer:

Explanation:

a. The X and Y components of the velocity can be found using trigonometry:

X = V * cos(θ) = 15 m/s * cos(38°) ≈ 11.63 m/s

Y = V * sin(θ) = 15 m/s * sin(38°) ≈ 9.14 m/s

b. The time the ball is in the air can be found using the Y component of the velocity and the acceleration due to gravity:

Y = V * sin(θ) * t - (1/2) * g * t^2

where g = 9.8 m/s^2 is the acceleration due to gravity

Solving for t, we get:

t = 2 * Y / g ≈ 1.87 s

c. The distance the ball travels can be found using the X component of the velocity and the time in the air:

distance = X * time = 11.63 m/s * 1.87 s ≈ 21.78 m

If the mass of the cart was halved, the magnitude of the centripetal acceleration would...a. decreaseb. increasec. remain the same

Answers

If the mass of the cart was halved, the magnitude of the centripetal acceleration would decrease.

What is Centripetal force?

Centripetal force is a force that causes a change in velocity that undergoes motion in a circular path.

Centripetal force can be expressed by using the formula:

\(F = \frac{mv^2}{r}\)

Where;

m = mass of the cart

r = radius of the circular path

v = speed of the cart

Now, since F ∝ m, if the mass (m) is halved, then the magnitude of the centripetal force acting on the cart will also be halfved.

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Equal masses of two different liquids are put into identical beakers.
Liquid 1 is heated for 100s and liquid 2 is heated for 200s by heaters of the same power.
The temperature of both liquids increases by the same amount.
Which statement is correct?
A Both liquids receive the same amount of energy.
B. Liquid 1 receives more energy than liquid 2.
C. Both liquids have equal thermal capacity.
D. The thermal capacity of liquid 1 is less than the thermal capacity of liquid 2.

Answers

Answer:

C

Explanation:

Because they both received the same temperature

HELP ME OUT PLEASE!!!!!

4) This model shows a ball being shot from the cannon. Which of these statements accurately describes the energy of the cannonball? Select ALL that apply.

A) The kinetic energy is lowest at point E.

B) The potential energy is lowest at point E.

C) The kinetic energy is greatest at point C

D) The potential energy is greatest at point C.

E) The ball changes from kinetic to potential energy at point A.​

HELP ME OUT PLEASE!!!!! 4) This model shows a ball being shot from the cannon. Which of these statements

Answers

Answer:

B and D is the answer

Explanation:

I took the assignment <3

Answer:

B and D is the correct answer.

Explanation:

What is the magnetic force on a 2.0-m length of (straight) wire carrying a current of 30 A in a region where a uniform magnetic field has a magnitude of 55 mT and is directed at an angle of 20° away from the wire?

Answers

To determine the magnetic force on a straight wire carrying a current in a uniform magnetic field, we can use the formula for the magnetic force:

F = I * L * B * sin(θ)

where:

F is the magnetic force,

I is the current in the wire,

L is the length of the wire,

B is the magnitude of the magnetic field, and

θ is the angle between the wire and the magnetic field.

In this case, the values are:

I = 30 A (current in the wire)

L = 2.0 m (length of the wire)

B = 55 mT = 0.055 T (magnitude of the magnetic field)

θ = 20° (angle between the wire and the magnetic field)

Substituting the values into the formula:

F = 30 A * 2.0 m * 0.055 T * sin(20°)

Calculating sin(20°):

F = 30 A * 2.0 m * 0.055 T * 0.3420

F ≈ 1.5714 N

Therefore, the magnetic force on the 2.0-meter length of wire carrying a current of 30 A in a region with a uniform magnetic field of magnitude 55 mT and at an angle of 20° away from the wire is approximately 1.5714 N.

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The resistance RT of a platinum varies with temperature T(°C), as measured on the constant-volume gas thermometer according to the equation RT = Ro(1+AT+BT^2). Where A = 3.8×10^-3°C^-1 and B = -5.6×10^-7°C^-2. Calculate the temperature that would be on indicated on a platinum thermometer, when the gas scale reads 200°C.​

Answers

The resistance indicated by the platinum thermometer at 200°C is 1.648 times the reference resistance Ro at 0°C.

The given equation is RT = Ro(1+AT+BT²), where A = 3.8×10⁻³°C⁻¹ and B = -5.6×10⁻⁷°C⁻². To determine the temperature that would be indicated on a platinum thermometer when the gas scale reads 200°C, we will have to use the given formula. RT = Ro(1+AT+BT²) .....(i)We know that the gas scale reads 200°C. Therefore, we can substitute T = 200°C in equation (i).RT = Ro (1 + A × 200 + B × 200²) = Ro (1 + 0.76 - 0.112) = Ro (1.648)Thus, the resistance that the platinum thermometer would indicate is 1.648 times the reference resistance Ro at 0°C. This is the solution to the problem.In summary, The given equation is RT = Ro(1+AT+BT²), where A = 3.8×10⁻³°C⁻¹ and B = -5.6×10⁻⁷°C⁻². To determine the temperature that would be indicated on a platinum thermometer when the gas scale reads 200°C, we substituted T = 200°C in equation (i) to get RT = Ro (1 + A × 200 + B × 200²) = Ro (1 + 0.76 - 0.112) = Ro (1.648).

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Describe the relationship between the temperature of an object and the frequency of electromagnetic waves generated by the object.

Answers

The relationship between the temperature of an object and the frequency of electromagnetic waves generated by the object is described by the concept of blackbody radiation.

What is a blackbody radiation?

A blackbody is an idealized object that perfectly absorbs all electromagnetic radiation that falls on it and emits radiation in a continuous spectrum over a range of frequencies.

According to Planck's law, the spectral distribution of blackbody radiation depends on the temperature of the object. As the temperature of the object increases, the peak of the spectral distribution shifts towards higher frequencies.

This relationship is known as Wien's displacement law, which states that the wavelength at which the spectral radiance of a blackbody is maximum is inversely proportional to the temperature of the object.

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Complete this concept map about types of waves.

Complete this concept map about types of waves.

Answers

Answer:

The answer is within the picture.

Explanation:

Complete this concept map about types of waves.

Question 10 of 10
Which expression correctly describes force using Sl units?
A. 1 N = 1 kg m/s2
B. 1 N = 1 kg.m/s
O C. 1 J = 1 kg.m/s2
O D. 1 J = 1 kg-m/s

Answers

Answer:

1 N = 1 kg·m/s2

Explanation:

A car traveled a distance of 30 km in 20 minutes (1/3 hours). What was the
speed of the car?
A. 90 km/hr
OB. 60 km/hr
O C. 30 km/hr
D. 10 km/hr

Answers

The answer is, (A). 90 I’m/hr
The answer will be A.


How could being mindful in conversation be helpful?

Answers

You can see if the person your talking to and being mindfull they  will see respect towards you or they see you as a mindful person.It shows a person that you care.

Explanation:

The maximum acceleration attained on the interval 0 ≤ t ≤ 3 by the particle whose velocity is v(t)=t^3-3 t^2+12 t+4 is

Answers

The maximum acceleration attained on the interval 0 ≤ t ≤ 3 by the particle is equal to 21 m/s².

What is acceleration?

Acceleration of an object can be described as the change in velocity of the object with respect to time. Acceleration can be described as the first derivative of the velocity of an object with respect to time.

The expression for the acceleration in terms of velocity can be represented as:

\({\displaystyle a =\frac{dv}{dt}\)

Given the expression of the velocity is v (t) = t³ - 3t² + 12t +4

dv/dt = v'(t) = d/dt(t³ - 3t² + 12t +4)

a(t) = 3t² - 6t +12

At time t = 0 , a(0) = 3(0)² - 6(0) +12 = 12

At time t = 3s, a(3) = 3(3)² - 6(3) +12 = 21

Therefore, the maximum acceleration attained on the interval 0 ≤ t ≤ 3 is equal to 21.

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plzzz help will give brainlist

Below are views related to education.

---------------------------

Civics should be taught in public schools.
Good citizenship is learned in communities.
---------------------------

Which conclusion can be drawn from these views?

A. Civic involvement is important to building strong societies.

B. Civic participation should be learned at home.

C. Political conflict is a threat to strong societies.

D. Political conflict should be reduced through legislation.

Answers

Answer:

A.

Explanation:

this would make sense but it seems to be more like they both sound different

Question 15 of 25
What is the period of a wave that has a frequency of 30 Hz?

Answers

Answer:

0.033 seconds

Explanation:

Period = 1/30 = 0.033 seconds

Answer:

The answer is 0.03 s

Explanation:

A.P.E.X.

4. Calculate the total resistance of the circuit if R1=4 Ω, R2=30 Ω, R3=10Ω, R4=5Ω Determine the current strength if the circuit is connected to a voltage source with a voltage of 56 V

4. Calculate the total resistance of the circuit if R1=4 , R2=30 , R3=10, R4=5 Determine the current

Answers

The total resistance of the circuit is 49 Ω. The current strength in the circuit, when connected to a voltage source of 56 V, is approximately 1.14 A.

To calculate the total resistance of the circuit, we need to determine the equivalent resistance of the resistors connected in a series.

Given:

R1 = 4 Ω

R2 = 30 Ω

R3 = 10 Ω

R4 = 5 Ω

Calculate the equivalent resistance (RT) of R1 and R2, as they are connected in series:

RT1-2 = R1 + R2

RT1-2 = 4 Ω + 30 Ω

RT1-2 = 34 Ω

Calculate the equivalent resistance (RTotal) of RT1-2 and R3, as they are connected in parallel:

1/RTotal = 1/RT1-2 + 1/R3

1/RTotal = 1/34 Ω + 1/10 Ω

1/RTotal = (10 + 34) / (34 * 10) Ω

1/RTotal = 44 / 340 Ω

1/RTotal ≈ 0.1294 Ω

RTotal ≈ 1 / 0.1294 Ω

RTotal ≈ 7.74 Ω

Calculate the equivalent resistance (RTotalCircuit) of RTotal and R4, as they are connected in series:

RTotalCircuit = RTotal + R4

RTotalCircuit = 7.74 Ω + 5 Ω

RTotalCircuit ≈ 12.74 Ω

Therefore, the total resistance of the circuit is approximately 12.74 Ω.

To determine the current strength (I) when connected to a voltage source of 56 V, we can use Ohm's Law:

I = V / RTotalCircuit

I = 56 V / 12.74 Ω

I ≈ 4.39 A

Therefore, the current strength in the circuit, when connected to a voltage source of 56 V, is approximately 4.39 A (or 1.14 A, considering significant figures).

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easy>>>>>>Define or explain the ways heat can transfer from one object to another (conduction, convection, radiation). In each explanation, list an example.

Answers

heat can be transferred in many ways. heat can mostly transfer through anything but metals are the big ones. for example, let’s say you have a spoon and your about to scoop so hot soup; the soup will transfer heat to the spoon which will make it hot to eat.

hope this helps :)

1.Explain why "red hot" is not as hot as "blue hot"

Answers

Red hot is not as hot as blue hot because as the temperature increases the frequencies of light emitted becomes higher leading to emission of smaller wavelength lights.

All objects emits light, even at room temperature. But it cannot be seen with human eyes as the wavelength is too high. When heated the wavelength starts to decrease ( reaching the visible spectrum ) as high heat produce high frequency lights.

The wavelength of colour visible to human eyes starting from highest wavelength to lowest wavelength is as follows: Red, Orange, Yellow, Green, Cyan, Blue and violet.

Therefore, "Red hot" is not as hot as "blue hot"

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A boat is headed north at a velocity of 8 km h-1. A strong wind is blowing whose pressure on the boat’s superstructure causes it to move sideways to the west at a velocity of 2 km h-1. There is also wave present that flows in a direction 30° south of east at a velocity of 5 km h-1. What is the velocity of the boat?​

Answers

The velocity of the boat moving at the given conditions is 5.97 km/h at 67⁰.

The given parameters;

velocity of boat northwards, = 8 km/hvelocity of the boat westwards, = 2 km/hvelocity of the wind, = 5 km/h 30° south of east

The resultant vertical velocity of the boat is calculated as;

\(v_y = 8 \ - \ 5 sin(30)\\\\v_y = 8 - 2.5\\\\v_y = 5.5 \ km/h\)

The resultant horizontal velocity of the boat is calculated as;

\(v_x = -2 \ + 5cos(30)\\\\v_x = 2.33 \ km/h\)

The resultant boat velocity is calculated as follows;

\(v = \sqrt{v_x^2 + v_y^2} \\\\v = \sqrt{2.33^2 + 5.5^2} \\\\v = 5.97 \ km/h\)

The direction of the velocity;

\(\theta = tan^{-1} (\frac{v_y}{v_x} )\\\\\theta = tan^{-1}(\frac{5.5}{2.33} )\\\\\theta = 67 \ ^0\)

Thus, the velocity of the boat moving at the given conditions is 5.97 km/h at 67⁰.

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2. You are traveling along a highway at night at a speed of 100 km/h when you spot an object directly in front of you in the road at the limit of your headlights. (10 Marks)

a) If the maximum braking deceleration that your car can provide is 7 m/s2, and if your headlights extend out to a range of 30 m, will you hit the object before coming to a stop?

b) How long will it take to stop?

Answers

a) To determine if the car will hit the object before coming to a stop, we need to calculate the distance required to stop the car, assuming maximum braking deceleration. We can use the following formula:

d = (v^2) / (2a)

where:

d = distance required to stop

v = initial velocity

a = acceleration/deceleration

In this case, v = 100 km/h = 27.78 m/s (converted from km/h to m/s)

a = -7 m/s^2 (negative sign indicates deceleration)

We know that the car's headlights extend out to a range of 30 m, so if the distance required to stop the car is greater than 30 m, the car will hit the object before coming to a stop.

Plugging in the values to the formula, we get:

d = (27.78^2) / (2 x -7) = 108.61 m

Since 108.61 m is greater than 30 m, the car will hit the object before coming to a stop.

b) To calculate the time required to stop, we can use the following formula:

t = v / a

where:

t = time required to stop

v = initial velocity

a = acceleration/deceleration

Plugging in the values, we get:

t = 27.78 / 7 = 3.97 s

Therefore, it will take 3.97 seconds to stop the car.

Three tiny charged metal balls are arranged on a straight line. The middle ball is positively charged and the two outside balls are negatively charged. The two outside balls are separated by 20 cm and the middle ball is exactly halfway in between. (HINT: Draw a picture; in your picture, the distance between the two outermost balls should be 20 cm.) The absolute value of the charge on each ball is the same, 1.45 μCoulombs (the meaning of μ, which is read as "micro", is 10-6). Give your answers in newtons.

a) What is the magnitude of the attractive force on either outside ball due ONLY to the positively-charged middle ball?

(b) What is the magnitude of the repulsive force on either outside ball due ONLY to the other outside ball?

(c) What is the magnitude of the net force on the outside of the ball

Answers

Answer:

\((a) 189.23 N\), \((b) 47.31 N\) and \((c) 141.92 N\).

Explanation:

Three balls are shown in figure having charge \(q=1.45 \mu C\). The middle ball, \(B\), is positively charged having charge \(+q\), and the remaining two outside balls, \(A\) and \(C\), are negatively charged having charged \(-q\) as shown.

\(AC=20 cm\) and \(AB=BC=10\) cm as B is the mid-point of AC.

Let \(d_1=AC=20\times 10^{-3}m\) and \(d_2=AB=BC=10\times 10^{-3}m\)

From Coulomb's law, the magnitude of the force, \(F\), between two point charges having magnitudes \(q_1 \& q_2\), separated by distance, \(d\), is

\(F=\frac {1}{4\pi\epsilon_0}\frac {q_1q_2}{d^2}\;\cdots (i)\)

where, \(\epsilon_0\) is the permittivity of free space and

\(\frac {1}{4\pi\epsilon_0}=9\times 10^9\) in SI units.

This force is repulsive for the same nature of charges and attractive for the different nature of charges.

Now, Using equations(i),

(a) The magnitude of attraction force between balls A and B is

\(F_{AB}=F_{BC}= \frac {1}{4\pi\epsilon_0}\frac {qq}{(d_2)^2}\)

\(\Rightarrow F_{AB}= 9\times 10^9}\frac {1.45\times 10^{-6}\times1.45\times 10^{-6}}{\left(10\times 10^{-3}\right)^2}\)

\(\Rightarrow F_{AB}=189.23 N\)

(a) The magnitude of the repulsive force between balls A and C is

\(F_{AC}= \frac {1}{4\pi\epsilon_0}\frac {qq}{(d_1)^2}\)

\(\Rightarrow F_{AC}= 9\times 10^9}\frac {1.45\times 10^{-6}\times1.45\times 10^{-6}}{\left(20\times 10^{-3}\right)^2}\)

\(\Rightarrow F_{AC}=47.31 N\)

(c) The magnitude of the net force, \(F_{net}\), on the outside of the ball is,

\(F_{net}=189.23-47.31 N\)

\(\Rightarrow F_{net}=141.92 N\)

Three tiny charged metal balls are arranged on a straight line. The middle ball is positively charged

Trevor is charting the motion of his pet tortoise across the floor. The diagram below shows its position every 60 seconds.

A.The tortoise is moving at a constant speed
B. The tortoise’s speed is decreasing through time
C. The tortoise’s speed is increasing through time
D. The tortoise’s position is not changing through time

Answers

Answer:

A.The tortoise is moving at a constant speed

Explanation:

The chart shows the tortoise covering a distance of 0.5 meters every 60.0 seconds. Since this rate of motion is not changing, the tortoise is moving at a constant speed.

The diagram shows the tortoise moving at a constant speed. Thus the correct option is option A.

What is speed?

Speed is defined as how far the object travels. It is also defined as the rate of change of distance per unit of time. Speed is the scalar quantity and the unit of speed is m/s.

Speed is denoted by the letter v. v = s/t, where s is the distance traveled along the path and t is the time taken by the object to move along the path.   The SI unit of distance is meter and the unit of time is seconds.

When the object covers an equal distance at equal intervals of time is called uniform speed. When the object covers unequal distance with equal intervals of time or equal distance with unequal intervals of time is called Non-uniform speed.

The graph shows the Tortoise covers 0.5 m in 60 seconds is called uniform speed. Thus, option A is correct.

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-5,5 posta uamka zwykego -4,8 posta uamka zwykego pomocy Marc Chagall's self-portrait I and the Village can best be described as a depiction of ________________. 7x - 15 < 48. Elrich planted seeds from each of x different seed packets in his garden. To plant these seeds, he had to remove plants that were already in the garden. Taking into account the plants he removed and the seeds he planted, he expected to have (select) plants in the garden. From how many different seed packets did Elrich recently plant seeds? if we were to conduct a x^2 test to see if there is a relationship between smoking habits and cause of death, how many degrees of freedom would the distribution have?65122 De las 250 manzanas que tena Juan vendi el 80%. Cuntas manzanas le quedan? From the attachment, what is the missing side What is the m(See image) QUESTION 8 of 10: Juanita, the stadium manager, spends $10,000 on a broadcast TV ad, $15,000 on a cable TV ad, and $4,000 on a radio adWhat percentage of radio advertising did she do? (Round to the nearest percent.) A woman bought some large frames for $18 each and some small frames for $4 each at a closeout sale. If she bought 16 frames for $148, find how many of each type she bought. She brought ___ large frames. She brought ___ small frames Many children learn to fear lightning because it is often paired with loud thunder (which, like most sudden, loud sounds is naturally frightening). In this case lightning is the ____, thunder is the ____, and fear is the ____ make a dict out of a flipped tuple python Read the passage and answer the following question.We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable rights, that among these are life, liberty and the pursuit of happiness. That to secure these rights, governments are instituted among men, deriving their just powers from the consent of the governed. That whenever any form of government becomes destructive to these ends, it is the right of the people to alter or to abolish it, and to institute new government. -Thomas Jefferson, Declaration of IndependenceWhich of the following ideas does the author of the passage advocate?Choose 1 answer:(Choice A) Checks and balances(Choice B) Pluralism(Choice C) Popular sovereignty(Choice D) Constitutional monarchy what refers to physically or verbally harming another person directly? Find the length of the missing leg in the following triangle In a local election, 48,100 people voted. This was an increase of 7% over the last election. How many people voted in the last election? Round to the nearest whole number of people. Question 29 of 36Hugh transferred a balance of $3050 to a new credit card at the beginning ofthe year. The card offered an introductory APR of 6.7% for the first 4 monthsand a standard APR of 32.8% thereafter. If the card compounds interestmonthly, which of these expressions represents Hugh's balance at the end ofthe year? (Assume that Hugh will make no payments or new purchasesduring the year, and ignore any possible late payment fees.)12O A. (5050)(120087) (1.990O B. (92050/1 , 0082" (120320 )152050)1, 902)*(-0020007)" (C. ($3050) 1+O D. ($3050) 1 +0.6281 +12 When oxygen fills the lungs it flows through the bronchi into the alveoli and diffusing across the membrane of the alveoli into a blood vessel. What is the name of the blood vessels? Find ALL positive numbers n such that the triangle with 3 sides n, n+1, n+2 form a triangle with an angle 120 degrees. You must derive the solutions and justify that there are no other solutions. A stone is dropped from the top of a cliff. The splash it makes when striking the water below is heard 5.0 later. Antonio works at the circus making balloon animals, charging $3 for a balloon animal. Before he took a lunch break at noon, he sold 14 balloon animals. After lunch, he goes back to selling balloon animals for the rest of the day. Write an equation for the amount of money Antonio makes. How many balloon animals would Antonio need to sell after lunch to make $117 for the day?