You are 15.0m from the source of a sound. At that distance, you hear it at a sound level of 20.0dB. How close must you move to the sound to increase the sound level to 60dB?
I think its 45.0cm?

15.0cm
45.0cm
55.0cm
60.0cm
85.0cm

If a boat is going East at 15mph and there is a water current going southeast at 45° then the boat is being drifted southward.  So since the current is going at an angle then it has a x and y component.  So Rx refers to the x-component force of the current and Ry refers to the y-component of the current, and |R| refers to the magnitude of these forces.

Answer:

The boat velocity is 20.6 mph and  14 south of east

Explanation:

For this exercise it is best to write the speeds based on its components x and y

Boat    V1x = 15 mph

Water  V2 = 7.1 mph

           θ = - 45º

 Where the angle is measured from the x axis, the negative indicates that it is measured on an hourly basis

           V2x = V2 cos (-45) = 7.1 (0.707)

           V2y = V2 sin (-45) = 7.1 (-0.707)

           V2x = 5.0 mph

           V2y = -5.0 mph

The total system speed is the sum of each component

          Vx = V1x + V2x

          Vy = V1y + V2y

          Vx = 15 + 5.0

          Vy = 0 -5

          Vx = 20 mph

          Vy = -5.0 mph

We can give result in the form of magnitude and angle

          V² = Vx² + Vy²

          θ = tan-1 (Vy / Vx)

          V = √ [20² ++ (-5)²]

          θ = tan-1 (-5/20)

         V = 20.6 mph

         θ = -14º

 The boat velocity is 20.6 mph and  14 south of east

Distance of a fall from rest = (1/2) (g) (Time²)

75 m = (1/2) (9.8 m/s²) (Time²)

75 m = (4.9 m/s²) (Time²)

Divide each side by (4.9 m/s²):

Time² = (75 m) / (4.9 m/s²)

Time² = (15.3) (s²)

Square-root both sides:

Time = 3.91 seconds

Final answer:

Using the equation for free fall under gravity, it takes approximately 3.91 seconds for a gargoyle statue to reach the ground when dropped from a height of 75 meters.

Explanation:

To calculate how long it takes for a gargoyle statue to reach the ground from a height of 75 meters, we can use the kinematic equation for freely falling objects under gravity (ignoring air resistance). The equation used to determine the time taken (t) is:

\( h = \frac{1}{2}gt^2 \)

Where:
h is the height from which the object falls (75 meters),
g is the acceleration due to gravity \(9.8\, m/s^2\) on Earth,
t is the time in seconds.

By rearranging the formula and solving for t we get:

\( t = \sqrt{\frac{2h}{g}} \)

Plugging in the values:

\( t = \sqrt{\frac{2 \times 75}{9.8}} = \sqrt{\frac{150}{9.8}} = \sqrt{15.30612} \approx 3.91 \text{ seconds} \)

Therefore, it takes approximately 3.91 seconds for the gargoyle to reach the ground.

The correct answer is A

The distance between Star 2 and Star 3 is 75 light years.

The distance between stars in space can vary significantly. In our Milky Way galaxy, stars are typically separated by many light-years, with the closest star system, Alpha Centauri, about 4.37 light-years away from our solar system. However, interstellar distances can range from fractions of a light-year to many thousands of light-years, depending on the specific stars and their locations within the galaxy or the universe.

The distance between Star 2 and Star 3 can be calculated by subtracting the time it takes for light to travel from Star 1 to Star 2 (63 years) from the time it takes for light to travel from Star 1 to Star 3 (138 years). So, the distance between Star 2 and Star 3 is 75 light years (option A).

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The Sentences Nyah should use in her Explanation are :

B. An Ecosystem cannot Function without Decomposers.

D. Decomposers help to recycle nutrients in an Ecosystem.

Because :

✿ Producers provide food for Consumers.

✿ Ecosystems have many types of Decomposers like Bacteria & Fungi.

✿ Plants are not Examples of Decomposers.

Final answer:

Decomposers like fungi and bacteria are crucial for ecosystem functionality as they recycle nutrients, enabling the survival and stability of ecosystems. They prevent waste buildup and support the cycle of life by converting dead matter into essential nutrients for producers.

Explanation:

Nyah explains to Arman the importance of decomposers in an ecosystem. The sentences that should be used in her explanation are:

B.) An ecosystem cannot function without decomposers.

D.) Decomposers help to recycle nutrients in an ecosystem.

Decomposers, such as fungi and bacteria, play a critical role in sustaining ecosystems by breaking down dead organisms and organic waste. This process recycles essential nutrients like carbon and nitrogen back into the soil, which are then available for producers, such as plants, to use. By converting dead matter into nutrients, decomposers ensure the stability and survival of ecosystems, preventing waste accumulation and enabling the continuous cycle of life.

Answer: the number protons stayed the same.

Explanation: an isotope has equal number of protons but different number of neutrons resulting in different atomic mass but the same chemical properties.

Answer:

Object will float.

Explanation:

Total force on the body = Weight of body + Buoyancy force on body.

 Weight of body = 15 N downwards = 15 N

 Buoyancy force on body = 17 N upwards = -17 N

 Total force on body = 15 - 17 = -2 N = 2 N upwards

 So, the body will float.

Object will float.

In this question we have given

velocity of missile=1350m/s

angle at which missile is moving=25degree

distance between missile and targets=23500m

angle between target and missile=55degree

time=10.2s

To find the final velocity of missile we will first find the acceleration required

Let x be the horizontal component of distance

x - vertical component of distance

t-time

ax- horizontal component of acceleration

ay-Vertical component of acceleration

Vx-horizontal component of velocity

Vy-Vertical component of velocity

horizontally: x = Vx*t + ½*ax*t²  

23500m * cos55.0º = 1350m/s * cos25.0º * 10.20s + ½ * ax * (10.20s)²  

ax = 19.2 m/s²  

V'x = Vx + ax*t = 1350m/s * cos25.0º + 19.2m/s² * 10.20s = 1419 m/s  

similarly vertically:

y = Vy*t + ½*ay*t² 

23500m * sin55.0º = 1350m/s * sin25.0º * 10.20s + ½ * ay * (10.20s)²  

ay = 258 m/s²  

V'y = Vy + ay*t = 1350m/s * sin25.0º + 258m/s² * 10.20s = 3204 m/s  

Therefore

V = √(V'x² + V'y²) = 3504 m/s  

therefore magnitude of final velocity of missile=3504m/s

They are in the inverse relationship between potential energy, and kinetic energy.

The energy of the body by the virtue of its motion is known as the kinetic energy of the body. It is defined as the product of half of mass and square of the velocity.

According to the law of conservation of energy, total energy is defined as the sum of kinetic energy and potential energy.

Total energy = kinetic energy+potential energy

At the top of the U ramp, potential energy is greatest, while kinetic energy is least. The potential energy is the lowest and the kinetic energy is the largest at the bottom of the U ramp.

Hence, PE and KE have an inverse relationship.

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If we are depending on nonrenewable resources only then we will run out first at that resource which we are using at large level

that resource which is used at all levels at very fast level but we can't get it at that rate from natural sources

So out of all given choices we know that at most fastest rate we are using the OIL which we extract from the earth crust.

The rate with which we are extracting oil is very fast and if we use it at same rate then we will definitely run out of it

so correct answer would be

B. oil

Answer:

B: Oil

Explanation:

If consumption of natural resources continues at the 1994 rate, then without importing resources from other countries, the U.S. has approximately enough oil to last for 23 years, enough natural gas to last for 68 years, enough uranium to last for 364 years, and enough coal to last for 7,007 years.

Reference: Energy Information Administration's State Energy Data Report 1994

( study island )

Your answer is C) Summer

I think that the waters of a lake will be most layered in spring

Answer:

Inez thinks it is important to be honest with her friends.

Byron tries to treat all people with respect.

Lydia cares about expressing her creativity.

Explanation:

Just did on Edge

According to Ohm's law for a portion of the circuit we have:

U=RI=>I=U/R=9/4=2.25 A

Answer:

Current in the circuit, I = 2.25 A

Explanation:

Given that,

Voltage of the battery, V = 9 V

Resistance of the bulb, R = 4 ohms

We need to find the current in the circuit. It can be calculated using Ohm's law. Ohm's law gives the relationship between the current, resistance and the voltage as :

[tex]V=IR[/tex]

[tex]I=\dfrac{V}{R}[/tex]

[tex]I=\dfrac{9\ V}{4\ \Omega}[/tex]

I = 2.25 A

So, the current flowing in the circuit is 2.25 amperes. Hence, this is the required solution.

Explanation:

Storage offered by iPad pro = 128 gb

1 gigabyte = 1000,000,000 bytes

[tex]1 gb = 1\times 10^{9} bytes[/tex]

[tex]128 gb=128\times 10^9 bytes=128\times 10^9 bytes[/tex]

Standard form = 128,000,000,000 bytes of storage

Scientific notation = [tex]1.28\times 10^{11} \text{bytes of storage}[/tex]

The Apple iPad Pro with 128 GB of storage holds 137438953472 bytes of storage which in scientific notation would be written as 1.3744 x 10^11 bytes.

To find the number of bytes in 128 gigabytes (GB), we use the conversion factor that 1 GB is equal to 1024 megabytes (MB), and 1 MB is equal to 1024 kilobytes (KB), and 1 KB is equal to 1024 bytes. So, to convert 128 GB to bytes, we would do the following: 128 GB * 1024 (to get MB) * 1024 (to get KB) * 1024 (to get bytes).

Doing this calculation gives us a total of 137438953472 bytes. In scientific notation, this would be written as 1.3744 x 10^11 bytes.

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Sound level at distance of 15 m is given as 20 dB

so intensity at this distance is given as

[tex]L = 10 Log\frac{I}{I_0}[/tex]

[tex]20 = 10 Log{I}{10^{-12}}[/tex]

[tex]I_1 = 10^{-10}W/m^2[/tex]

now if we move closer to some some distance the sound level is now 50 dB

now the intensity is given as

[tex]L = 10 Log\frac{I}{I_0}[/tex]

[tex]50 = 10Log\frac{I}{10^{-12}}[/tex]

[tex]I_2 = 10^{-7}W/m^2[/tex]

now we know that

[tex]\frac{I_1}{I_2} = \frac{r_2^2}{r_1^2}[/tex]

[tex]\frac{10^{-10}}{10^{-7}} = \frac{r_2^2}{15^2}[/tex]

[tex]r_2 = 47 cm[/tex]

so now the distance from friend must be 47 cm

The well adaptability of dodo's in living on the island of Mauritius is the factor that would not have led to dodo's extinction.

Given is to find the factor would not have led to the extinction of dodo birds.

Therefore, the well adaptability of dodo's in living on the island of Mauritius is the factor that would not have led to dodo's extinction.

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Given data:

From Figure:  

        Each box in the graph (small rectangle box) is assumed to be one download. So, in the graph the time between 8 p.m to 9 p.m, the number of downloads are 8.75 approximately (because the last box is incomplete, therefore 8 complete boxes and 9th is more than half).

So, We conclude that the total number of downloads are approximately 9 in the time span of 8 p.m. to 9 p.m.

Answer:

This is due to the apparent movement of the celestial bodies, seen from an observer centered on the Earth. If we did not have knowledge of the advances of science and the latest discoveries, we would think that the Earth is the center of the universe.

For example, for an observer on Earth as a reference system, the Sun moves every day from east to west, as do the planets and all the stars that we observe at night, which leads the observer to believe that those in motion are these bodies outside in the sky while the earth is still and fixed in the universe.

Keep in mind that this theory of geocentrism was widely accepted for a long time in antiquity, until the astronomer Nicolaus Copernicus proposed a completely different and opposite idea, heliocentrism (universe centered on the Sun).

However, at present it is known and accepted that the universe has no center, that the Earth revolves around the Sun and that in reality all the bodies of the universe are in movement.

Our senses, based on our observational perspective, may lead us to believe that Earth is the center of the universe, a belief supported by the ancient geocentric model. The shift to the Copernican principle that positions the Sun at the center of the solar system challenged this perception. In reality, we are part of a vast universe and not at its center.

Our senses can lead us to believe that Earth is the center of the universe because our daily observations suggest so. From our vantage point, it appears as if the Sun, Moon, and stars revolve around us, making Earth feel central. This observation is attributed to the geocentric model heavily rooted in ancient astronomical models where Earth was considered the universal center and all celestial bodies moved in circular orbits around it.

However, this perception changed with the introduction of the Copernican principle, which redefined our understanding of celestial mechanics, positioning the Sun as the center of our solar system and not the Earth.

From everyday observation, it does seem like everything in the sky orbits the Earth. This perception is due to our positional perspective, not a reflection of the true cosmic order. The reality is that Earth orbits the Sun, and we are just one of many objects in the universe, not at its center.

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According to Doppler's law when a listener move towards a source of sound at rest, the frequency observed by the listener is greater than the actual frequency of sound coming from the source. This observed frequency by the listener is given as

f' = (V + v) f/V

where  f = actual frequency of the sound from source

V = speed of sound ,  v = speed of listener towards the source.

Since (V+v)/v > 1

hence f'> f

but when the boy stops , he starts hearing the actual frequency of sound from the source which is smaller to what he was hearing before stopping. hence

The pitch becomes lower

A force is calculated in neutons

Answer: newton

Explanation:

d = distance the bowling ball has fallen = ?

g = acceleration due to gravity acting on the ball by earth = 9.8 m/s²

t = time of fall for the ball = 3.0 s

distance the ball has fallen is given as

d = (0.5) g t²

inserting the above values in the equation above

d = (0.5) (9.8 m/s²) (3.0 s)²

d = (0.5) (9.8 m/s²) (9.0 s²)

d = (4.9 m/s²) (9.0 s²)

d = 44.1 m

hence the distance fallen by the ball comes out to be 44.1 m

Answer:

+12 m/s

Explanation:

The velocity of an object moving of accelerated motion is given by:

[tex]v(t) = v_0 +at[/tex]

where

v0 is the initial velocity of the object

a is the acceleration

t is the time

In this problem, the rocket starts from rest, so [tex]v_0 =0[/tex]. The acceleration is [tex]a=4 m/s^2[/tex], so the velocity after [tex]t=3 s[/tex] will be

[tex]v(3 s)=0 +(4 m/s^2)(3 s)=+12 m/s[/tex]

A. The one that is closet to us

D. Femur, sacrum, pelvis and skull

Answer: Satellite technology allows us to monitor and track the changes in the polar ice sheets. This can help us plan and direct conservation efforts for the animals that depend on polar ice in order to survive.

Explanation:

A satellite orbits around Earth. We have different satellites for different purposes. A satellite has transmitter and receiver for sending and receiving information.  For the use of environment, only one statement seems correct that is: Satellite technology allows us to monitor and track the changes in the polar ice sheets. This can help us plan and direct conservation efforts for the animals that depend on polar ice in order to survive.

Rest options are true but not from the environment point of view.

We know that animals are dependent on the environment for their survival. polar ice caps are difficult to reach and monitor. For making conservation plan for the animals residing in these remote areas, satellite technology is very crucial.

Answer:

Satellite technology allows us to monitor and track the changes in the polar ice sheets. This can help us plan and direct conservation efforts for the animals that depend on polar ice in order to survive.

Explanation:

Fission and fusion process

the first part is physical

It is to some sea creatures. Like the ones with air filled areas like lungs and swim bladders

The correct answer is false. Just took the test

You have two answers that are pretty close. He mentioned D, but what he really found and stuck with it and concentrated on it when submitting his findings was that the nucleus of an atom was small and concentrated at the center of the atom.

So the answer is C but you cannot easily eliminate D. I think the question is somewhat faulty, but C should give you the mark.

Answer:

C. He placed positive material in the atom's center.

Explanation:

Ernest Rutherford was a physicist from New Zealand who spent most of his career in England and Canada. Rutherford was an important figure in the history of the discovery of the atom. Rutherford is famous for his gold foil experiment. Based on the results of his experiment, Rutherford concluded that there must be a tiny volume of the atom, containing most of the atom's mass, at the center of the atom. This would have a positive charge, and the rest of the atom must be made of mostly empty space. This positive material in the atom's center is the nucleus.

potential, kinetic, elastc energies

The mechanical energy of the system at any point in time can be in the form of kinetic energy, potential energy, and elastic energy. These all are interconvertible, hence mechanical energy is conserved.

The term mechanical energy accounts for the total energy by the virtue of position as well as the motion of an object.

When an object is dropped from a certain height, then the mechanical energy of the object at any instant is given as the sum of kinetic energy and potential energy. The expression is given as,

ME = KE + PE

But at some point in time, the potential energy can be in the form of elastic energy as well. This energy is known as spring potential energy. Hence, the mechanical energy is conserved in a system at any point considering the forms like kinetic energy, potential energy, and elastic energy.

Thus, we can conclude that the mechanical energy of the system at any point in time can be in the form of kinetic energy, potential energy, and elastic energy. These all are interconvertible, hence mechanical energy is conserved.

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To get a sample material from the mantle, drilling will be done through the oceanic crust rather than through the continental crust because oceanic crust is thinner than continental crust. Continental crust is  thicker than oceanic crust and  it is composed of granite. Oceanic crust is easily drilled.

oceanic crust is younger than continental crust but it does not provide any advantage in drilling so it is not a reason.

oceanic crust is more dense than continetal crust but it also not provide any advantage in drilling so it is not a reason

Answer:

Option (3)

Explanation:

The oceanic crust has a thickness of about 7 to 10 km on average, which is much thinner than the continental crust. In order to obtain the rock sample from the mantle, drilling must be done through the rocks of oceanic crust. It is because the depth from the seafloor up to mantle will be much lesser than the depth from the surface of the continental crust to the mantle.

It will require a comparatively lesser amount of money for excavation, in comparison to the drilling done from the continental surface.

Thus, drilling is more favorable to obtain mantle rocks from the oceanic crust.

Hence, the correct answer is option (3).

Answer:

 Work done by the little rocket engine = 19.6 Joules.

Explanation:

 We know that work = force x displacement.

 Force = weight of rocket = 4.9 N

 Displacement = 5 meter.

 So work done by the little rocket engine = Weight of rocket x displacement.

  Work done by the little rocket engine = 4.9 x 4 = 19.6 J

    Work done by the little rocket engine = 19.6 Joules.