which conversion factors can be used to multiply to 4 km/min to get meters per hour?select each correct answer. 1 km1000 m1 km over 1000 m1 h60min1 h over 60 min1000 m1 km1000 m over 1 km60min1 h

Answers

Answer 1

Conversion should be done as follows:

4 km/min → m/hr

⇒ 4 km/min = (4x1000)/ (1/60) = 240000 m/hr

How are kilometers per minute calculated?

You can measure your current speed in mph or kph. To convert it to kilometers per minute or miles per minute, divide it by 60.

To get miles per second or kilometers per second, divide by 60 once more.

Alternative: To convert it directly, divide it by 3600.

How are kilometers and miles per hour converted?

Divide the number of kilometers per hour (kmph) by 1.609344 to get the equivalent number of miles per hour (mph).

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Related Questions

As a source of sound moves away from a person what increases? What decreases? And what stays the same

Answers

Moving away from the source causes the observer to measure a lower frequency and higher wavelength.

The frequency of the detected sound from a stationary source will change as a result of the observer's movement. Moving away from the source causes the observer to measure a lower frequency and higher wavelength.

The Doppler effect is a shift in sound wave frequency that happens when the source of the sound waves is moving in relation to a listener who is stationary.

The wave propagates the sound energy throughout the medium, typically in all directions and with decreasing intensity as it gets further away from the source.

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A car tart from ret and travel for 3. 4 with a uniform acceleration for 17. 0 m/. What i the final velocity of the car?

Answers

Final velocity = 57.8m/s

What is acceleration?

In mechanics, acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities. The orientation of an object's acceleration is given by the orientation of the net force acting on that object

Acceleration = (Initial velocity - Final velocity) /time

Given,

time = 3.4s

Acceleration = 17 m/s^2

17 = (0-v)/3.4

final velocity = 17 X 3.4 = 57.8 m/s

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Most often, a blackbody curve will have its maximum in what region of the electromagnetic spectrum?.

Answers

A blackbody curve will have its maximum in the visible region of the electromagnetic spectrum.

The blackbody graph illustrates how the intensity of light that is radiated changes as a blackbody is heated to a specific temperature.

According to the blackbody graph, a blackbody radiates energy over the whole electromagnetic spectrum once it reaches a temperature of 3,000 K. However, at a wavelength of about 1000 nm, the energy is released most strongly. This is a part of the electromagnetic spectrum's infrared range.

A few other essential points about the blackbody graph:

The total amount of energy radiated increases with temperature. No matter the temperature, the graph's red lines all follow the same pattern. The intensity of electromagnetic radiation peaks at a specific wavelength even if it is emitted across the entire spectrum.The wavelength with the highest radiation intensity varies with temperature. The radiation is most intense in the yellow-green region of the spectrum at 4,000 K. Due to the blackbody's tremendous radiation in the visible region of the electromagnetic spectrum, at 6,000 K, it would emit white hot. Keep in mind that white light is the simultaneous emission of all visible colors.

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Most often, a blackbody curve will have its maximum in what region of the electromagnetic spectrum?.

Mr. Chowder ties an eraser to a string and swings it in a circle with a radius of 0.974 meters. The eraser makes 127 revolutions in a minute. Determine its acceleration (in m/s/s).

Answers

The acceleration of the eraser is 169.19 m/s².

What is centripetal acceleration?

A body travelling in a circle has centripetal acceleration. Due to the fact that velocity is a vector quantity (i.e., it has both a magnitude and a direction), when a body travels in a circle, its direction is continually changing, which causes a change in velocity, which results in an acceleration.

Given that angular velocity of the eraser: ω = 127 rpm

= 126×2π/60 radian/second

= 13.2 radian/second.

radius of the circle: r = 0.974 meter.

Hence, its centripetal acceleration is = ω²r

= 13.2×13.2×0.974 m/s²

=169.19 m/s².

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Muscles covert chemicals energy int

Answers

Answer:

Mechanical energy

Explanation:

Mechanical energy is needed for movement of objects. Muscles convert chemical energy provided by the rest of the body to allow movement.

determine the components fa and fb of the 7.4 kn force along the oblique axes a and b. determine the projection of pa and pb of f onto the a and b axes

Answers

(a)The component of the force Fa and Fb is Faₓ = 7.15 kN, \(F_a_y\) = 1.92 kN and Fbₓ = 6.9 kN, \(F_b_y\) = 2.65 kN.

(b) The projection of Pa and Pb of F onto the a and b axes is Pa = 5.63 kN and  2.52 kN.

What is the component of the forces?

(a)The component of the force Fa and Fb is calculated as follows;

Faₓ = 7.4 kN x cos(15) = 7.15 kN

\(F_a_y\) = 7.4 kN x sin (15) = 1.92 kN

Fbₓ = 7.4 kN x cos (21) = 6.9 kN

\(F_b_y\) = 7.4 kN x sin (21) = 2.65 kN

(b) The projection of Pa and Pb of F onto the a and b axes is calculated as follows;

angle opposite Pa = 90 - (31 + 21) = 38⁰

angle opposite Pb = 31 - 15 = 16⁰

angle opposite F = 180 - (38 + 16) = 126⁰

F/sin126 = Pa / sin38

7.4 / sin126 = Pa / sin 38

Pa = 7.4(sin 38 / sin 126)

Pa = 5.63 kN

F/sin126 = Pb / sin16

7.4 / sin126 = Pb / sin 16

Pb = 7.4(sin 16 / sin126)

Pb = 2.52 kN

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The missing part of the question is in the image attached

determine the components fa and fb of the 7.4 kn force along the oblique axes a and b. determine the



Two point charges of values +3.4 ?C and +6.6 ?C, respectively, are separated by 0.20 m. What is the potential energy of this 2?charge system? (ke = 8.99 109 N?m2/C2)
Electric Potential Energy

Electric potential energy of a system of charges is the work done in bringing the charges from infinite distances to their respective positions in the system. Total electric potential energy of a system is the sum of potential energies of each pair of charges of the system.

Answers

Potential energy of the 2-charge system: According to the question, we have two point charges of values +3.4 µC and +6.6 µC separated by 0.20 m. The potential energy of the two-point charge system is 820.41 J.

The formula for calculating the potential energy of the two-point charge system is given by;

U = (kq1q2)/d,

Where; U = potential energy of the system q1 = value of the first point charge

q2 = value of the second point charge,

k = Coulomb's constant = 8.99 × 10^9 Nm^2/C^2

d = separation distance between the two charges

Plugging in the values, we get;

U = [(8.99 × 10^9 Nm^2/C^2)(3.4 µC)(6.6 µC)]/(0.20 m)

U = 820.41 J (Joules)

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What is the term for the mixing of outside air into a cloud or a rising parcel of air?
A. subsidence.
B. entrainment.
C. adiabatic mixing.
D. a sounding.

Answers

The term for the mixing of outside air into a cloud or a rising parcel of air is entrainment.

option B.

What is entrainment?

Entrainment can be defined as the process by which surrounding air is drawn into a cloud or a rising parcel of air, leading to the mixing of air masses and affecting the cloud's characteristics and properties.

So let's define other terms given in the options;

Subsidence refers to the downward motion of air in the atmosphere.

Adiabatic mixing refers to the process in which air parcels with different temperatures and moisture content mix without exchanging heat with their surroundings.

A sounding, on the other hand, refers to a vertical profile of temperature, humidity, and other atmospheric properties obtained from instruments such as weather balloons.

Thus, the correct answer is Entrainment.

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Using the data in the image Construct a velocity-time graph using your data. You may use various methods to draw this graph: tangents, use of the kinematics equations to find the velocity at any time since the acceleration is constant, or close analysis of the data tables. Draw the line of best fit. Calculate the slope of the line. What does the slope represent?

Using the data in the image Construct a velocity-time graph using your data. You may use various methods

Answers

\(\begin{gathered} \text{From the graph} \\ \text{Slope}=34.302 \\ \text{The slope represents the change of position with time} \end{gathered}\)

Using the data in the image Construct a velocity-time graph using your data. You may use various methods

1. Shelly pushes a .0035 kg marble with
a force of .07.N.

Answers

Answer:

pressure= force/area

Explanation:

pressure= 0.07/0.0035

             = 20 pascal

four reasons for launching a satellite into orbit around earth

Answers

To prove the earth is not flat to people

A moving car has 2000 J of kinetic energy. If the speed doubles, how much kinetic energy would it have?

Answers

given,
Kinetic energy of the car = 2000 J
speed of the car is doubled
we know,

now, speed of the car is doubled
v' = 2 v


Using

=1/22


Hence, the Kinetic energy would be equal to 8000 J.

If a mass is 1.5 m from the axis of rotation and makes one revolution in 10 seconds, what is its speed in m/s? If m = 0.1 kg and the values above still hold, what is the numerical value of the centripetal acceleration?

Answers

The speed of the mass is approximately 0.942 m/s.

The numerical value of the centripetal acceleration is approximately 0.591 m/s².

To find the speed of the mass, we need to know the circumference of the circular path it follows.

The circumference of a circle can be calculated using the formula:

Circumference = 2 * π * radius

Given that the mass is located 1.5 meters from the axis of rotation, the radius (r) is 1.5 meters.

Circumference = 2 * π * 1.5

Circumference ≈ 9.42 meters

Since the mass makes one revolution in 10 seconds, we can calculate its speed by dividing the circumference by the time taken:

Speed = Circumference / Time

Speed = 9.42 meters / 10 seconds

Speed ≈ 0.942 meters per second (m/s)

Therefore, the speed of the mass is approximately 0.942 m/s.

Now, let's calculate the centripetal acceleration.

The centripetal acceleration (ac) can be calculated using the formula:

ac = (v²) / r

Given:

m (mass) = 0.1 kg

r (radius) = 1.5 meters

v (velocity) = 0.942 m/s

Substituting the values into the formula, we can calculate the centripetal acceleration:

ac = (v²) / r

ac = (0.942 m/s)² / 1.5 meters

ac ≈ 0.591 m/s²

Therefore, the numerical value of the centripetal acceleration is approximately 0.591 m/s².

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pls help 15 pointssss

pls help 15 pointssss

Answers

Answer:

4.d 5.c

Explanation:

Suppose that a collection of quantum harmonic oscillators occupies the lowest four energy levels, and the spacing between levels is 0.4 eV. What is the complete emission spectrum for this system? That is, what photon energies will appear in the emissions? Include all energies, whether or not they fall in the visible region of the electromagnetic spectrum.

Answers

The emission spectrum for the collection of quantum harmonic oscillators can be determined by considering the energy differences between the levels. Given that the spacing between levels is 0.4 eV, the energy differences between adjacent levels are also 0.4 eV.

To find the complete emission spectrum, we need to consider all possible energy transitions between the levels. Starting from the ground state, the transitions to higher energy levels will have energies of 0.4 eV, 0.8 eV, and 1.2 eV, respectively.

Thus, the emission spectrum will consist of photons with energies of 0.4 eV, 0.8 eV, and 1.2 eV. These energies correspond to wavelengths of approximately 3.10 μm, 1.55 μm, and 1.03 μm, respectively.

The emission spectrum for the system of quantum harmonic oscillators includes photon energies of 0.4 eV, 0.8 eV, and 1.2 eV, which correspond to infrared wavelengths.

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describe the relationship between the force and length and how the curves differ between a weak spring and a strong spring

Answers

The relationship between the force and length is given by  F = -kx.

What is hooke's law?

The force a spring applies to items fastened to its ends is proportional to the distance the spring travels from its equilibrium length and is always pointed in the direction of equilibrium.

The equilibrium point of the spring's free end is at x = 0, and if the x-axis of a coordinate system is selected to be parallel to the spring, then

F = -kx.

The term "spring constant" refers to the proportional constant k.

So,

K will be large if the spring is stiff or powerful, and it will be little if the spring is weak.

According to hooke's law

ΔF / Δx = k

Slope of the graph gives "spring constant"

So,

If we consider strong spring, then curve will have high slope.

and if we consider weak spring, then the curve will have low slope.

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22. Enthalpy [3P] Consider a process where nitrogen gas with a mass of 2 g and an initial temperature of 27°C undergoes a decrease in pressure by one quarter while the volume stays constant. Determine the enthalpy change of the gas during this process.

Answers

The enthalpy change of the gas is 0 J.

According to the first law of thermodynamics, the change in internal energy (ΔU) of a closed system is equal to the heat added to the system (Q) minus the work done by the system (W).

This can be expressed as:

ΔU = Q - W

Since the process in question is isochoric (volume stays constant), the work done by the system is zero. Therefore, the change in internal energy is equal to the heat added to the system. This can be expressed as:

ΔU = Q

Since the nitrogen gas is undergoing a decrease in pressure, it is doing work on the surroundings. This means that the heat added to the system is equal to the work done by the system, but with a negative sign. This can be expressed as:

Q = -W

Plugging in the values, we get:

ΔU = -W = -Q = 0 J

Therefore, the enthalpy change of the gas is 0 J.

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write an expression for ∑fy. take upward to be the positive y direction.

Answers

The expression for ∑fy, representing the sum of the y-components of forces, with upward as the positive y direction, can be written as: ∑fy = F1y + F2y + F3y + ...

In this expression, F1y, F2y, F3y, and so on represent the y-components of individual forces acting on an object. The summation symbol (∑) indicates that we are adding up all the y-components of forces acting on the object. By considering the direction of each force and assigning a positive or negative sign based on whether it acts in the positive y direction (upward) or negative y direction (downward), we can determine the net y-component of the forces (∑fy). The resulting value will indicate the overall effect of the forces on the object in the y-direction.

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kinetic energy, what is its velocity, as a fraction of the speed of light? you will have to assume the electron is moving relativistically.

Answers

A calculation gives the result that the electron is moving at about 2,200 kilometers per second. That's less than 1% of the speed of light,

So, it is 99%of speed of light = 300000×99÷100

= 297000 km/s

The speed of light which we know is 300,000 kilometers per second is the last speed limit to get. By adding energy to the electron, it becomes faster, but we see that as we get closer to the speed of light, we need to add even more energy just to bump it a bit faster.

To reach to 99.9% (just another 9.9 percentage points), we spend a total of over 11 million eV! So it's harder to push it faster.

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When an object is moving to the left and slowing down, what direction is the acceleration?

Answers

Answer:

According to our principle, when an object is slowing down, the acceleration is in the opposite direction as the velocity. Thus, this object has a negative acceleration. In Example D, the object is moving in the negative direction (i.e., has a negative velocity) and is speeding up.

Explanation:

a spacecraft traveling out of the solar system at a speed of 0.95c sends back information at a rate of 1400 khz. at what rate do we receive the information

Answers

Due to the relative speed of the spacecraft with regard to the observer, information sent back from the spacecraft at a rate of 1400 kHz is received at a lower rate. The rate at which information is received is reduced due to time dilation, which is the slowing of time perceived by a moving object as seen by a stationary observer. The greater the temporal dilation, the faster the item moves.

Time dilation occurs in this example because the spacecraft is travelling at 0.95 times the speed of light. This means that time appears to move slower on the spacecraft than it does to a stationary observer. As a result, the frequency of information received from the spacecraft is likewise reduced. Because of this consequence, the rate at which we get information will be lower than 1400 kHz.

Finally, the rate at which information is received is affected by the speed of a spacecraft relative to an observer. When a spacecraft travels at a substantial fraction of the speed of light, time dilation causes the spacecraft to receive information at a decreased rate.

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Introduction:

The speed of light is a fundamental constant in physics and is considered to be the highest speed at which information can travel. It is the speed at which electromagnetic radiation (including light) propagates through a vacuum. In this scenario, a spacecraft is traveling at a speed close to the speed of light, sending back information at a certain frequency.

Explanation:

According to the theory of special relativity, objects moving at high speeds experience time dilation, which means that time appears to pass more slowly for the object relative to an observer at rest. The same goes for the frequency of electromagnetic radiation. When the spacecraft is traveling at a high speed, the frequency of the electromagnetic radiation it emits will appear to be lower to an observer at rest.

This effect is known as the Doppler shift, and it affects both the frequency and wavelength of the emitted radiation. The rate at which we receive the information from the spacecraft is given by the formula:

f' = f * (√(1 - v^2/c^2))

Where f is the frequency of the radiation as emitted by the spacecraft, v is the speed of the spacecraft relative to the observer, and c is the speed of light.

In this scenario, the spacecraft is traveling at a speed of 0.95c, so v = 0.95c. Plugging these values into the formula gives us:

f' = 1400 kHz * (√(1 - (0.95c)^2/c^2)) = 1400 kHz * (√(1 - 0.9025)) = 1400 kHz * (√(0.0975)) = 1400 kHz * 0.3117 = 436.8 kHz

So, we receive the information from the spacecraft at a rate of 436.8 kHz.

Conclusion:

This example illustrates the effect of time dilation and the Doppler shift on the frequency of electromagnetic radiation as seen by an observer at rest. It shows that when a spacecraft travels at high speeds, the frequency of the radiation it emits appears to be lower to an observer at rest, due to the effect of time dilation on the frequency.

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Part 1: Fill in the SI unit for each of the following measurements. 1. Time: 2. Length: 3. Mass: 4. Temperature:

Answers

Answer:

1. Time: Second

2. Length: Meter

3. Mass: Kilogram

4. Temperatur: Kelvin

Explanation:

...

Pls help answer this

Pls help answer this

Answers

Answer: The rods both have the same charge therefore they repel each other.  The force of repulsion creates a downward force on the balance pan and therefore the balance registers a higher reading.

7th GRADE SCIENCE QUESTION PLEASE ANSWER AS FAST AS YOU CAN I NEED IT (it can be 1 day late is fine... Ok I'll give you today like this minute and you can answer it when it is posted about 1-2 days but if you can answer it now that will be great)!!!

Question #1: State the role of a nucleus in a cell.

Answers

The primary functions of the nucleus are to store the cell's DNA, maintain its
integrity, and facilitate its transcription and replication.

earth radiates energy to space at a temperature of about 253k, which gives off heat (in the form of electromagnetic radiation) at a lower intensity (w/m2) than that of incoming sunlight : sunlight comes in to the top of the atmosphere with an intensity of about 1350 w/m2, but earth radiates energy back out to space at approximately 236 w/m2. which choice describes how earth obtains an energy balance (between the incoming and outgoing energy fluxes in watts) even though the incoming and outgoing electromagnetic radiation is of different intensity?

Answers

Earth obtains an energy balance by having a net radiation budget, which means that the amount of energy it absorbs from the sun is equal to the amount it radiates back to space. This balance is maintained by a combination of factors including the reflection and absorption of incoming solar radiation by the atmosphere, clouds, and the Earth's surface.

The Earth's surface also absorbs some of the incoming solar radiation and radiates it back out as heat, which is balanced by the radiation of heat energy from the Earth's atmosphere and surface back to space. This balance ensures that the Earth's temperature remains relatively stable over time, and is crucial for maintaining the habitability of the planet.

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A cube measures 3cm on each side has a mass of 25 grams. what it its density and relative density.​

Answers

Answer:

Density= 2.78 g/cm³

Relative density=2.8

Explanation:

To calculate the density of the cube we have to use the formula ρ=mass/volume

ρ stands for density.

So now we don't have the volume of the cube and to find the volume of the cube we have to use the formula a³

3³= 9 cm³

Now plug in the values. ρ= 25 g/9 cm³

ρ= 2.78 g/cm³

To find the relative density, we have to use the formula ρsample/ρH20

The sample means the density of the substance earlier. We do not know the density of water but it is constant at 997 kg/m³.

Now we have to make the units same so you change the unit of the density of cube to kg/m³

So, 25/1000= 0.025 kg

9/100×100×100 (because cm³ which means that there should be 3 meters to change the unit and to conver cm to meter we need to divide by 100 so 9cm/100, 9cm²/100×100, 9cm³/100×100×100)

=0.000009 m³

The new density= 0.025 kg/ 0.000009 m³

= 2777.78 kg/m³

Now plug the values into the formula:

relative density= 2.777.78 kg/m³ / 997 kg/m³

=2.8

There is no unit since kg/m³ and kg/m³ cancels

a planet has two small satellites in circular orbits around the planet. the first satellite has a period t1 and an orbital radius of r1. the second satellite has a period of 1.5t1. what is the orbital radius of the second satellite?

Answers

The orbital radius of the second satellite is 1.31r1.

What is the orbital radius ?

The average separation of a planet from the sun is known as orbital radius. Given that it has a significant impact on planetary temperature, this is one of the most crucial factors in evaluating a planet's ability to support life. The distance between a planet's center and surface is known as the planetary radius.

Time period of a satellite in circular orbit of radius 'r' is

\(T^2\alpha r^3\)

T= time period

\(T1^2/T2^2=r1^3/r2^3\\T2=1.5T1=3/2T1\)

\((T1/3/2T1)^2=(r1/r2)^3\\(2/3)^2=(r1/r2)^3\\- > 4/9=(r1/r2)^3\\r1=(4/9)^1/3r2\\r2=(9/4)^1/3r1\\r2=1.31r1\)

A planet has two satellites in circular orbits of the second satellites is 1.31r1.

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Reflecting telescopes use mirrors to bring light to a focus. All large telescopes are reflectors because_____

Answers

All large telescopes are reflectors since they offer these benefits and are better suited for large telescopes.

Specifically: It is feasible to manufacture telescopes with wider apertures (larger diameter mirrors), which can collect more light and provide higher resolution images, because mirrors can be produced larger than lenses without sagging under their own weight.

Thin metal sheets can be applied to mirrors to improve reflectivity and decrease light loss.

Mirrors can be supported from the back, which increases their rigidity and solves the lens flexure issues that plague refracting telescopes.

Although producing huge lenses to exact specs is more expensive and complex than producing large mirrors, reflectors are typically less expensive to produce than refractors.

Hence, all large telescopes are reflectors since they offer these benefits and are better suited for large telescopes.

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Please help u guys acellus sucks

Please help u guys acellus sucks

Answers

Answer:

6.0cm

Explanation:

Given

focal length = 15.0cm

object distance = 10.0cm

Required

Image distance v

Using the formula

1/f = 1/u + 1/v

1/15 = 1/10+1/v

1/v = 1/15 + 1/10

1/v = 2+3/30

1/v = 5/30

v = 30/5

v = 6.0cm

Hence the image distance is 6.0cm

Answer:

6.0 (2 sig figs)

Explanation:

Is it General Physics? I had it and passed the Final Exam with an A in the beginning of July!

central venous pressure

Answers

Central venous pressure is blood pressure in the venae cavae, close to the right atrium of the heart.

What is central venous pressure?

The blood pressure in the venae cavae, close to the right atrium of the heart, is known as central venous pressure (CVP). The CVP measures both the volume of blood returning to the heart and the heart's capacity to pump blood back into the arteries.

Since there might occasionally be a pressure difference between the venae cavae and the right atrium, CVP is frequently a good approximation of right atrial pressure (RAP), despite the fact that the two terms are not interchangeable. When artery tone is altered, CVP and RAP can be different.

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Evaluate the equation 3/8h = 3/4A) h= 1/2B) h=1/4C) h=1/8D) h=2 A lab technician had 26 grams of a radioactive substance. Ten days later, only 22 grams remained. Find the half-life of the radioactive substance. (Round your answer to one decimal place.)I dont understand the steps. 120 caleriess in 2 servings 360 caleries in 6 servings I need help in math,PLEASE Help!!!. -50=10s The segment shown is half of AB, where B(-5,1) is one endpoint of the segment and M(-3, 3) is the midpoint of the segment.2016 StrongMind. Created using GeoGebra.What are the coordinates of point A?Enter your answer as an ordered pair, formatted like this: (42, 53) Which type of interest groups typically seeks collective benefits that are often non-material, such as preserving endangered species or promoting civil rights? public interest groups economic interest groups professional interest groups labor interest groups Targets all in motion clothing line provides higher-quality apparel at target-level pricing, enhancing the products. Which connotation of the word smell is most NEGATIVE?Group of answer choicesaromascentfragrancestench For each question in this group, choose either A, B, or C as shown on this Surface Weather Map. Only choose one ietfer per question, but, each letter can be used as mary times as needed. For which FRONTAL TYPE is this the situation? Out-ahead of this front, we commonly find: "Light precipitation" over an extensive-area for a relatively long-duration The Front labeled "A" The Front labeled "B" The Front labeled "C" For each question in this group, choose either A,B, or C as showr on this Surface Weather Map. Only choose one letter per question, but, each letter can be used as many times as needed. When passing through the Midwest in springtime, will commonly produce thunderstorms labeled " A " labeled "B" labeled "C MIDDLE SCHOOL MATH 20 POINTSAn agent sells a property for 220,000 the broker takes a commission of 3%, out of which the agent receives 60%. How much does the agent receive?Giving brainliest to the most well explained answer and giving a thanks to all answers. How do you prove AAS congruence rule? On August 31, 1854, an epidemic of cholera was discovered in London, England, resulting from a contaminated community water pump. By the end of September, more than 600 citizens who drank water from the pump had died. The cumulative number of deaths D(t) at a time t days after August 31 is given by D(t) = 91 + 160 In(t + 1). a. Determine the cumulative number of deaths by September 15. Round to the nearest whole unit. b. Approximately how many days after August 31 did the cumulative number of deaths reach 600? heather hudson makes stuffed teddy bears. recent information for her business follows:selling price per bear$ 30.55total fixed costs per month2,027.00variable cost per bear19.55required:if heather wants to earn $1,130.00 in profit next month, how many bears will she have to sell? make an equation and solve for x, 25 points. an obese client who has been diagnosed with peripheral artery disease (pad) should be advised to do which of the following? Solve the equation d/2 = 6 d = ? Write only the number In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6956 subjects randomly selected from an online group involved with ears. There were 1340 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than 20%. Use the P-value method and use the normal distribution as an approximation to the binomial distribution. Identify the null hypothesis and alternative hypothesis.A. H0: p0.2H1: p=0.2B. H0: p>0.2H1: p=0.2C. H0: p=0.2H1: p0.2D. H0: p=0.2H1: p>0.2E. H0: p=0.2H1: p What are the 3 basic elements of an automated system? NUMBER 3. (p^1/5)(p^7/12)^-2 Simplify this equation: