two skateboarders of mass 50 kg and 60 kg push each other with force 70N.what is the acceleration of each skaters

Answers

Answer 1

Answer:

0 m/s²

Explanation:

Since each skater pushes the other with a force of 70 N, according to Newton's third law, there is an equal reaction and thus the other pushes back with a force of 70 N in the other direction, so we have forces of +70N and -70 N respectively. So, the net force on each skateboarder is F = + 70 N + (-70 N) = + 70 N - 70 N = 0 N.

Since force, F = ma where a = acceleration and m = mass,

a = F/m.

So, since for each skater, F = 0N,

a = 0 N/m

= 0 m/s²

So, the acceleration of each skater is 0 m/s²


Related Questions

calculate the velocity (in m/s) of an ocean wave that has a wavelength of 50 meters and a frequency of 0.1 hz.

Answers

The ocean wave velocity is 5m/s.

What is wave velocity?

Wave speed commonly refers to velocity, but velocity actually means both speed and direction. A wave's velocity is equal to its wavelength times its frequency (the number of oscillations per second) and is independent of its intensity.

When a point in a rigid body oscillates, both transverse waves (waves in which the point oscillates transversely to the direction of travel) and longitudinal waves (waves in which the point oscillates in the same direction as the direction of travel) are emitted at the same frequency. Longitudinal waves are random, with longer wavelengths traveling faster. Seismic waves, therefore, consist of both longitudinal (P, primary) and transverse (S, secondary) waves and travel through the Earth at two velocities.

Wave velocity is related to wavelength and frequency by the following equations:

Velocity = wavelength x frequency

Using the above formula, we can easily calculate the ocean wave velocity as follows:

Velocity ​​= 50 x 0.1

Velocity = 5m/s

From the calculation above, we know that the ocean wave velocity is 5m/s.

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HELPPPPP
Find an article about recent findings in physics from a reputable source. A quick Internet search can help you find good sources for physics-related articles. If you're unsure about the validity of your source, consult your teacher.

After you've read your article, complete the following in a post on this page:

Summarize it in 1-2 paragraphs.
In an additional paragraph, discuss any evidence presented in the article. Use the following questions to help guide you:
What, if anything, does this evidence support? Is it relevant to the author's main idea(s)?
Is a claim made or a position taken on a scientific issue? If so, to what degree does the evidence and reasoning in the text support that claim?
Cite your source.

Answers

Answer: hope this helps

wrote this last year

Explanation:

Why it is important to study the universe

There are many reasons why it is important to study the universe, such as we would know nothing about zodiac signs, planets, why and how the dinosaurs died.   The universe is an interesting place, and so much of it hasn't been explored. NASA (National aeronautics and space administration) is an agency that is responsible for development and  research of vehicles and activities in space.

The eight planets in your solar system are:

Jupiter~ named after Zeus the king of the gods.

Mars~ Named after the Roman god of war.

Uranus~ named after the Greek god of the sky ( Zeus. )

Mercury~ named after the Roman messenger god.

Venus~ named after the Roman goddess of love and beauty.

Saturn~ named after the Roman god of agriculture and wealth.

Earth~ is the only planet not named after anybody but its nickname is “the blue planet”

Now if we did not study the universe then how would we know all of that?  The universe is a BIG place and we are like Preons ( particles that are the building block to Quarks, Quarks are the particles in protons and neutrons ) compared to the universe.

Did you know that they have discovered an ocean on Jupiter? The ocean on Jupiter is 11 kilometer deep. It has also been discovered that it rains diamonds on Jupiter and Saturn.  One thing about the universe that is interesting to me is our moon, the moon comes in many colors such as:

Blue moon

Pink moon

Red moon

Yellow moon

Orange moon

There is also different types of solar eclipse:

Total eclipse~

Partial eclipse~

Annular eclipse~

The moon also has different phases as well:

Waning crescent

Third quarter

Waning gibbous

FULL MOON

Waxing gibbous

First quarter

Waxing crescent

Here is a fun fact about the moon, the moon is neither a star nor a planet, it is a satellite object. The first man on the moon was Neil Armstrong, and he was a part of Apollo 11, and Gemini 8. One of my favorite quotes from him is “ Mystery creates wonder and wonder is the basis of man’s desire to understand.”  Did you know that if you go to Death Valley, CA you can see the milky way from earth. One of the things I love about the universe is that it is full of mysteries. Lots of things we don't know about the earth and there are a lot of things we would not know if we didn't study the universe. Zodiac signs are the groups we put everyone in. These groups we are put in are deciphered by what month we are born in. The zodiac signs are what groups we are in according to the universe.

A toy doll and a toy robot are standing on a frictionless surface facing each other. The doll has a mass of 0. 20 kg, and the robot has a mass of 0. 30 kg. The robot pushes on the doll with a force of 0. 30 n. The magnitude of the acceleration of the robot is.

Answers

By the force, the acceleration of robot is 1.5 m / s².

We need to know about force to solve this problem. Force will proportional to mass and acceleration. It can be written as

F = m . a

where F is force, m is mass and a is acceleration

From the question above, we know that

m = 0.2 kg

F = 0.3 N

By substituting the parameters, we know that

F = m . a

0.3 = 0.2 . a

a = 0.3 / 0.2

a = 3/2

a = 1.5 m / s²

Hence, the acceleration of robot is 1.5 m / s².

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estimate the value of resistances needed to make a variable timer for intermittent windshield wipers: one wipe every 15 s, 8 s, 4 s, 2 s, 1 s. assume the capacitor used is on the order of 3 μf .

Answers

The minimum value resistance is 330 kΩ and maximum value resistance is 5000 kΩ.

What is resistance?

Resistance is encountered by an electron as it passes through the external circuit's wires and loads. The obstacle to the flow of charge is called resistance. An electron cannot travel in a straight line from one terminal to the next. Instead, a zigzag path is created by several collisions with stationary atoms in the conducting substance. The movement of the electrons is hampered by resistance. Resistance prevents the passage of charge, whereas the electric potential difference between the two terminals promotes it. The combined influence of these two factors determines the rate at which charge flows from terminal to terminal.

Calculations:

θ = R * C

15s --- R = θ / C = 15 / 3x 10^-6 = 5x 10^6Ω----- 5000 kΩ

8s------R = 8 / 3x 10^-6 = 2.7x 10^6 Ω ----------------2700 kΩ

4s------R = 4 / 3x 10^-6 =  1.3x10^6 Ω -------------------1300kΩ

2s------R = 2 /3x 10^-6 = 0.67x 10^6 Ω ------------------670 kΩ

1s -----R = 1 / 3x10^-6 = 0.33x 10^6 Ω---------------------------330 kΩ

Part A

Answer : 330 kΩ ( min)

Part B

Answer: 5000 kΩ (max)

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a diver initially moving horizontally with speed v dives off the edge of a vertical cliff and lands in the water a distance d from the base of the cliff. how far from the base of the cliff would the diver have landed if the diver initially had been moving horizontally with speed 2v?

Answers

The time(t) in the air for a horizontal projectile is dependent on  the distance travelled(d) and its initial velocity(v).

i.e. t = d/v

Since the time for the projectile in the air is same at both v and 2v, the distance at speed 2v will be double than that of the distance at speed v.

An object that is in motion in the air with no force other than gravity, then the path travelled by the object is called as projectile.

The driver must have landed to the distance 2d from the base of the cliff, when he dives with the speed 2v.

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Which of the following is the standard (SI) unit of temperature?
Kelvin (K)
Celsius (C)
Farrenheit (F)
None of these

Answers

The answer is (C) Calsius i hope this helped

Kelvin (K)

The kelvin (K) is the base unit for temperature of the SI. Kelvin is called the absolute temperature scale because it does not use degrees.

The gravitational force between the Sun and the Earth is about 3.5 x 10²² N.

What would be the value of the gravitational force if the distance between them were quadrupled?

Answers

Answer: 2.2 x 10^21

Explanation:

ASAP WILL GIVE BRAINLIEST!!!

During a safety test, a car hits a wall and stops in 0.55 s. The net force on the car is 6500 N during the collision.
What is the magnitude of the change in momentum of the car?

Answers

Answer:

The change in momentum of the car is 3575 Kg.m/s

Explanation:

Impulse and Momentum

The impulse (J) experienced by the object equals the change in momentum of the object (Δp).

The formula that represents the above statement is:

J = Δp

The impulse is calculated as

J = F.t

Where F is the applied force and t is the time.

The car hits a wall with a force of F=6500 N and stops in 0.55 s. Thus, the impulse is:

J = 6500 * 0.55

J = 3575 Kg.m/s

The change in momentum of the car is:

[tex]\Delta p= J = 3575\ Kg.m/s[/tex]

The change in momentum of the car is 3575 Kg.m/s

A 12kg object experiences a net force of 120 N. What is the acceleration will this object experience?

Answers

Answer:

a = 10m/s^2

Explanation:

Recall that F=ma, therefore, to find acceleration, we need to rearange the equation in such a manner that it would equal acceleration:

[tex]F=ma\\\frac{F}{m} =a\\\\\frac{120N}{12kg}=a\\10m/s^2=a[/tex]

How has the Michelson-Morley experiment helped present-day scientists?

Answers

Michelson-Morley experiment helped present-day scientists by explaining how light travels through space and time.

What is an Experiment?

This is referred to as a procedure which is carried out by scientists in other support or refute a hypothesis and an example of such is the Michelson-Morley experiment which helped explain some properties of light.

This experiment was able to explain how light travels in different media and the velocity in which such occurs. It was also discovered that light has a constant speed of light which helped to establish different mathematical relationships between various parameters and helped  present-day scientists discover more.

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Derive a relation for the length of a rod at a given tempreture t 0c when l0 is its length at 0 0c

Answers

The relation for the length of road at a given temperature, L at t°c = L0(1 + αΔT)

When a rod is heated from 0°c to a temperature t°c, its length increases which is given by the following formula

ΔL/L0 = αΔT

Where ΔL = change in length = L- L0

Thus,

L-L0/L0 = αΔT

⇒ L-L-L0 = L0(αΔT)

⇒ L = L0 + L0(αΔT)

Or L = L0(1 + αΔT)

Here L is the length at temperature  t°c

L0 is the length at 0°c

α = coefficient of thermal expansion

ΔT = change in temperature

Thus, the relation for the length of road at a given temperature, L at t°c = L0(1 + αΔT).

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a running person has a what you need. Mass of 60kg and a speed of 3.16m/s what is her kinetic energy?

Answers

Answer:

[tex]\boxed {\boxed {\sf 299.568 \ Joules }}[/tex]

Explanation:

Kinetic energy can be found using the following formula:

[tex]E_k=\frac{1}{2}mv^2[/tex]

where m is the mass and v is the velocity.

The mass of the person is 60 kilograms and the velocity is 3.16 meters per second

[tex]m= 60 \ kg \\v= 3.16 \ m/s[/tex]

Substitute the values into the formula.

[tex]E_k=\frac{1}{2} (60 \ kg) *(3.16 \ m/s)^2[/tex]

First, evaluate the exponent.

(3.16 m/s)²= (3.16 m/s) * (3.16 m/s) = 9.9856 m²/s²

[tex]E_k=\frac{1}{2}(60 \ kg ) (9.9856 \ m^2/s^2)[/tex]

Multiply 60 kg by 9.9856 m²/s²

[tex]E_k=\frac{1}{2} (599.136 \ kg*m^2/s^2)[/tex]

Multiply 599.136 kg*m²/s² by 1/2, or divide by 2.

[tex]E_k=299.568 \ kg*m^2/s^2[/tex]

1 kg*m²/s² is equal to 1 Joule Therefore, our answer of 299.568 kg*m²/s² is equal to 299.568 Joules.

[tex]E_k= 299.568 \ J[/tex]

The running person has a kinetic energy of 299.568 Joules.

Solution:

We know that, Kinetic energy(kE)= 1/2×m×v^2

By applying formula,we get

Or,KE=1/2×60×3.16^2

Or,kE=299.57j

So,her kinetic energy is 2999.5j

A car weighing 12,000 N is parked on a 36° slope. The car starts to roll down the hill. What is the acceleration of the car?​

Answers

Given that,

Weight of a car, W = 12,000 N

It is parked on a 36° slope.

To find,

The acceleration of the car.

Solution,

Let m be the mass of the car. Using formula for weight of an object.

W = mg

[tex]m=\dfrac{12000}{9.8}\\\\=1224.48\ kg[/tex]

Let a be the acceleration of the car. Using second law of motion as follows :

[tex]a=\dfrac{F_{\text{parallel}}}{m}\\\\=\dfrac{F\sin\theta}{m}\\\\=\dfrac{12000\times \sin(36)}{1224.48}\\\\=5.76\ m/s^2[/tex]

So, the acceleration of the car is [tex]5.76\ m/s^2[/tex].

What is a Biome?

Define biome:

Each biome consists of many ___________________ whose _______________ have adapted to the

small differences in climate and the environment inside the biome.

To understand a world biome you need to know: (list the 4 things below)

1.

2.

3.

4.

Answers

Answer: Each biome consists of many habitats whose ecosystems have adapted to the small differences in climate and the environment inside the biome.

1. Most Plant and Animal Species Are Found in the Rainforest Biome.

2. Rainforest Plants Help in the Fight Against Cancer

3. Not All Deserts Are Hot.

4. One-Third of the Earth's Stored Carbon Is Found in Arctic Tundra Soil.

Biome  is a regional or global land area that is characterized by the plants, animals and climate in that area.

Each biome consists of many __habits__ whose  _ecosystem_ have adapted to the small differences in climate and the environment inside the biome.

To know a biome following things are important:-climatehabitatanimal and plant adaptation human activity.How many biomes are there?

Based on temperature and rainfall there are six major biomes:

DesertTundraGrasslandConiferous forestDeciduous forestTropical forest

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1.)A tank travels at a rate of 10.0 km/hr for 12.00 minutes, then at 15.0 km/hr for 8.00
minutes, then turns 180 degrees at 20.0 km/hr for 12.00 minutes. What is the total
distance covered in km by the tank? What is the average speed for the complete trip in
m/s? What is the change of position of the tank? What is its average velocity?
Given
Equation
Find
Diagram

Answers

12.00 min = 0.2 hr

8.00 min = 0.15 hr

Total distance:

(10.0 km/hr) (0.2 hr) + (15.0 km/hr) (0.15 hr) + (20.0 km/hr) (0.2 hr)

= 8.25 km

Average speed:

(10.0 km/hr + 15.0 km/hr + 20.0 km/hr) / 3

= 15 km/hr

Change in position:

(10.0 km/hr) (0.2 hr) + (15.0 km/hr) (0.15 hr) - (20.0 km/hr) (0.2 hr)

= 0.25 km

Average velocity:

(10.0 km/hr + 15.0 km/hr - 20.0 km/hr) / 3

≈ 1.67 m/s

When running a long distance during the Texas summer which of the following would happen?

A. an increase in the rate of digestion
B. a decrease in the rate of breathing
C. a decrease in the speed of the plus
D. an increase in the Production of sweat ​

Answers

Answer:

Answer choice D!

Explanation:

When it comes to running during a hot day, the human body responds to extensive periods of heat by producing sweat. Sweat is necessary in order of cooling down the body, so that is why I figured it would be that answer. I hope this helped!

Abe uses a wheelbarrow to move soil from his garden to a new flowerbed. He exerts an average force of 185 N while pushing the wheelbarrow, and he does 6.1 kJ of work while moving each load of soil. How far is he moving the soil?

Answers

Answer:

The distance he moved the soil is 32.97 m.

Explanation:

Given;

force exerted on the wheelbarrow, F = 185 N

work done in moving the soil, w = 6.1 kJ = 6100

The work done in moving the soil is given as;

Work done = force x distance he moved the soil

W = F x d

d = W / F

d = (6100) / (185)

d = 32.97 m

Therefore, the distance he moved the soil is 32.97 m.

Which other element is most likely to be a nonreactive gas?

A. Argon (AI)

B. Nitrogen (N)

C. Hydrogen (H)

D. Boron (B)

Answers

Answer:

A. Argon

Explanation:

It is a noble gas, a group which is not reactive.

Suppose you fill two rubber balloons with air, suspend both of them from the same point, and let them hang down on strings of equal length. You then rub each with wool or on your hair so that the balloons hang apart with a noticeable separation between them. Make order-of-magnitude estimates of (b) the charge on each

Answers

The charge on each balloon is 100nC or 1.2 × 10^-7 C

Consider two balloons of diameter 0.200m each with a mass of 1.00g hanging apart with 0.0500m separation on the ends of string making angles of 10.0° with the vertical.

The charge on each balloon can be found from

[tex]F_{e} = \frac{k_{e}q^{2} }{r^{2}} \\q = \sqrt{\frac{k_{e}q^{2} }{r^{2}}} \\\\q = \sqrt{\frac{(2\times10^{-3N}(0.25m)^{2}}{8.99\times10^{9}N\cdotm^{2}/C^{2}}\\[/tex]

[tex]q = 1.2\times10^{-7}C[/tex] or 100nC

An electric charge is the property of matter where it has more or fewer electrons than protons in its atoms. Electrons carry a negative charge and protons carry a positive charge. The matter is positively charged if it contains more protons than electrons and negatively charged if it contains more electrons than protons.

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Soccer player kicks a soccer ball with a force of 1300N. the soccer ball hits the player with a force of what

Answers

Answer:

The traffic light pulling upward on earth with a 1500 N force.

Explanation:

A boat travels 12. 0 m while it reduces its velocity from 9. 5 m/s to 5. 5 m/s. What is the magnitude of the boat’s acceleration while it travels the 12. 0 m?.

Answers

The calculated acceleration is -2.5 m/s²

In accordance with the data in the question, we have:

Initial speed (u) is 9.5 m/s.

Final speed (v): 5.5 m/s

(s) = distance traveled (12 m).

Calculate the boat's acceleration, please. The third equation of motion yields v²=u²+ 2as, where v stands for final velocity.

u stands for beginning speed.

A stands for acceleration.

s stands for distance.

(5.5)²-(9.5)²= 2*a*12

30.25-90.25=24*a

-60=24*a

a=-2.5 m/s⁻²

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A girl throws a 2 kg rock with a net force of 6 N. What is the acceleration of the rock?

8 m/s2
0.33 m/s
2 3 m/s2
12 m/s2

Answers

it’s 12 m/s2 i believe but i’m nit sure

Answer:

3 m/s2

Explanation:

Took the test

Ivy and Violet have measured their Buggy Car to have an average speed of 68.0 cm/s. Ms. Sterling has challenged them to release their car from a specific location such that it reaches a finish line in 4.10 seconds. How far from the finish line (in cm) should Ivy and Violet release the car?

Answers

The distance required is 278.8 cm.

What is the speed?

The speed is defined as the ratio of the distance covered to the time taken. Speed is a scalar quantity and the direction of the speed is not considered in the calculation.

We have the following information;

Speed of the car = 68.0 cm/s

Time taken = 4.10 seconds.

Speed = distance / time

distance = speed * time

distance = 68.0 cm/s *  4.10 seconds

Distance = 278.8 cm

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The second create the bottom of the table is called the

Answers

Answer:i don't understand

Explanation:

Two children are bouncing small rubber Ball. One child simply drops ball. At the same time, the second child throws a ball downward so that it has an initial speed of 10m/s what is the acceleration of each ball while in motion

Answers

The acceleration of each ball while in motion is the acceleration due to gravity, that is 9.81 m/s²

How to illustrate the information?

Here one child simply drops a ball. The second child simultaneously launches a ball downward at a 10-meter-per-second initial speed.

In first case acceleration on the ball is the acceleration due to gravity, it should be noted that in the second case also acceleration on the ball is the acceleration due to gravity,

Therefore, only gravitational force is acting on both cases so their acceleration is the acceleration due to gravity. Therefore, the acceleration of each ball while in motion is the acceleration due to gravity, that is 9.81 m/s².

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what make molecules​

Answers

Answer:

Molecules are made up of atoms that are held together by chemical bonds. These bonds form as a result of the sharing or exchange of electrons among atoms. The atoms of certain elements readily bond with other atoms to form molecules. ... The element helium is a one-atom molecule.

Answer:

Molecules are formed when two or more atoms of an element chemically join together.

Explanation:

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Justify the shape of energy pyramids

Answers

The shape of the energy pyramid shows that there is enough biomass energy contained in the primary producers at the bottom to support the predators at the top, even though energy is lost at each level. ... Each level is the same height and the available energy is represented by the width of each level.

WHAT IS THE interelationship between environment and mineral​

Answers

The interrelationship between the environment and minerals can be that when we do mineral extraction we may harm the environment.

Mineral extraction is generally known as mining. mining can be hazardous as well as beneficial to us. Mining can do damage to the natural environment. Mineral extraction can also reduce the underground water table. Mining techniques often need a larger and more expansive piece of land. Deforestation is a byproduct of mining, and the construction of mining regions necessitates the construction of roads and housing for mine personnel, and vegetation farms are frequently eliminated. The rising human population is wreaking havoc on the environment by spewing gas and dust into the atmosphere.Minerals can harm the land and water and permanently damage the natural landscape. But mining can have some positive impact on society, regions, etc. So, the interrelationship between the environment and minerals is deteriorating as one’s extraction will harm another.

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A sound wave from a police siren has an intensity of 100.0 W/m² at a certain point; a second sound wave from a nearby ambulance has an intensity level that is 10 db greater than the police siren's sound wave at the same point. What is the sound level of the sound wave due to the ambulance?

Answers

The sound level of the sound wave due to the ambulance is 140.

What do you mean by sound?

In terms of physics, the sound is a vibration that travels through a transmission medium like a gas, liquid, or solid as an acoustic wave. Sound is the reception of these waves and the brain's perception of them in terms of human physiology and psychology. Only acoustic waves with frequencies between roughly 20 Hz and 20 kHz, or the audio frequency range, can cause a human to have an auditory sensation. These are sound waves with wavelengths ranging from 17 meters (56 ft) to 1.7 millimeters in the air at atmospheric pressure (0.67 in). Ultrasounds are sound waves with a frequency higher than 20 kHz that are inaudible to humans. Infrasound refers to sound frequencies below 20 Hz. Animals of different species have different hearing ranges.

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Calculate the force of gravity between two objects with a mass 1,000,000kg that are 10m apart

Answers

Answer:

F = 0.667 N

Explanation:

Given that,

Masses of two objects, m₁ = m₂ = 1,000,000 kg

The distance between masses, d = 10 m

We need to find the force of gravity between two objects. The formula for the gravitational force is given by :

[tex]F=G\dfrac{m_1m_2}{d^2}\\\\F=6.67\times 10^{-11}\times \dfrac{(1,000,000)^2}{10^2}\\\\=0.667 N[/tex]

So, the force of gravity between two masses is 0.667 N.

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through: (3,-4), perp. to y=-7x According to communication experts, what is the greatest failing of business writers?. How does the Bill of Rights helpensure that the central governmentdoes not become too strong? mB. Una conversacin inventadaImagine that you have just met Diego, a new person on campus. You asked him some questions and he gave you the followinganswers. Complete the dialogue with the questions that you asked Diego.MODELOUSTED: Estudios antropologa?DIEGO: S, estudio antropologa.USTED:DIEGO: S, soy estadounidense.USTED: estudias con frecuencia?DIEGO: S, estudio con frecuencia.USTED: Tocas el plano?DIEGO: No, no toco el piano. Toco la guitarra clsica.USTED:DIEGO: No, no deseo trabajar ms horas.USTED Why is the Declaration of Independence significant regarding equality? Robert is preheating his oven before using it to bake. The initial temperature of the oven is 65 and the temperature will increase at a rate of 25 per minute after being turned on. What is the temperature of the oven 10 minutes after being turned on? What is the temperature of the oven t minutes after being turned on? Convert 23.4kJ to caloriesPLEASE SHOW WORK SO I CAN LEARN long-term effects of prevention and treatment on youth antisocial behavior: a meta-analysis site:nih.gov I need help with this question please someone helpWhat have you learned in school that has really stuck with you? Explain how the solubility of water is useful in maintaining various life processes What was James Madison's opinion regarding the influence of the Ten Commandmentson the development of U.S. Government? Find the value of j. Show all steps to the solution and give reason to your calculations Subtracting 5 from a number and then squaring the result gives the result 16. how to solve . please help secretory proteins that enter the exocytosis pathway do not require a signal to be secreted outside the cell. Amazon is offering a $17.95 discount on a pair of wireless headphones. You pay $71.80 for the headphones after the discount. Write and solve an equation to find the original price of the headphones.Use "x" for your variable HELP PLEASEEEEEEEEEEEEEE this should be EASY! just got a load of easy homework big its A LOT someone help A planet in another solar system has a solar constant S = 2,000 W/m2, and the distance between theplanet and the star is 100 million km.What is the total power output of the star? (Give your answer in Watts.) Convert the height of Mt. Kilimanjaro, at 19,565 ft, to kilometersgiven the following equivalence:1 m = 3.28084 ft bernardo randomly picks 3 distinct numbers from the set $\{1, 2, 3, 4, 5, 6, 7, 8, 9\}$ and arranges them in descending order to form a 3-digit number. silvia randomly picks 3 distinct numbers from the set $\{1, 2, 3, 4, 5, 6, 7, 8\}$ and also arranges them in descending order to form a 3-digit number. what is the probability that bernardo's number is larger than silvia's number? (a) $\frac{47}{72}$ (b) $\frac{37}{56}$ (c) $\frac{2}{3}$ (d) $\frac{49}{72}$ (e) $\frac{39}{56}$