How fast would an inline skater have been traveling if he had covered 400 m in 10
seconds?

When resistors are connected in series, their equivalent resistance is equal to the sum of the individual resistances.

In a series circuit, resistors are connected one after the other, so the same current flows through each resistor. The total resistance experienced by the current is the sum of the resistances of all the resistors in the series. This can be calculated using the formula: Rt = R1 + R2 + R3 + ... + Rn, where Rt is the total resistance and R1, R2, R3, etc., are the individual resistances.

In conclusion, when resistors are connected in series, the equivalent resistance is determined by adding up the values of each resistor. This concept is important in understanding the behavior of series circuits and calculating the overall resistance encountered by the current flowing through the circuit.

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If you're standing in front of the ambulance, you'll hear sound waves with a frequency of 500 Hz to 3500 Hz, with the highest frequency of 3500 Hz generating the shortest wavelength of 0.097 meters

An ambulance is fitted with a siren that can generate sound waves with frequencies between 500 Hz and 3500 Hz. The frequency of a sound wave is proportional to the pitch that humans hear. According to the equation, wavelength is inversely proportional to frequency; thus, as frequency increases, wavelength frequency . Therefore, the highest frequency, 3500 Hz, would generate the shortest wavelength. As a result, the wavelength of the sound wave emitted by the ambulance's siren is 0.097 meters, or 9.7 centimeters.

:If you're standing in front of the ambulance, you'll hear sound waves with a frequency of 500 Hz to 3500 Hz, with the highest frequency of 3500 Hz generating the shortest wavelength of 0.097 meters. Therefore, if you're standing in front of an ambulance, you'll hear a high-pitched, short-wavelength sound.

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Answer:

a

Explanation:

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The three most normal units of estimation for temperature are Celsius, Fahrenheit, and Kelvin.

A thermometer is an instrument that measures temperature. It can gauge the temperature of a strong, for example, food, fluid like water, or gas like air.

The Celsius scale is important for the decimal measuring standard. The decimal standard of estimation additionally incorporates units of mass, like kilograms, and units of length, like kilometers. Most logical fields measure temperature utilizing the Celsius scale. Zero degrees Celsius is the edge of freezing over water, and 100 degrees Celsius is the limit of water. Three countries don't utilize the Celsius scale. The United States, Burma, and Liberia utilize the Fahrenheit scale to quantify temperature. In any case, even in these nations, researchers utilize the Celsius or kelvin scale to gauge temperature. Water freezes at 32 degrees Fahrenheit and bubbles at 212 degrees Fahrenheit. The Kelvin scale is utilized by physicists and different researchers who need to record exceptionally exact temperatures. The Kelvin scale is the main unit of estimation to incorporate the temperature for "outright zero," the complete shortfall of any intensity energy.

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Answer: 6.5 A

Explanation:

Given that

L = 40 m H

C= 1.2 m F

Maximum charge on capacitor ,Q= 45 m C

The maximum current I given as

I = Q.ω

ω =angular frequency

By putting the values

ω  = 144.33 rad⁻¹

Maximum current

I = 45 x 10⁻³ x 144.33  A

I= 6.49 A

I = 6.5 A

E) 6.5 A

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The cart fires a ball straight out of the cannon as it moves. after it is fired, the ball falls behind the cart.

A theoretical or conceptual model known as projectile motion is the combination of a uniform horizontal motion (with constant velocity) and a vertical launch (governed by the acceleration of gravity).

When the ball is thrown vertically upward, it falls behind the cart. Assume that the cart is moving at a velocity of v\(_{x}\) at the time. While the cart accelerates horizontally, the ball follows the typical parabolic trajectory of a projectile.

The projectile's constant horizontal component, v\(_{x}\), is the ball's velocity. The ball completes its parabolic motion after t, and because the cart is subject to acceleration, its final velocity is greater than the projectile's horizontal velocity. As a result, the projectile is pushed behind the cart.

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The hydrogen spectral line from the star is redshifted compared to the laboratory measurement.

1. In the laboratory, the hydrogen spectral line appears at 121.6 nm.
2. The star's spectrum shows the same hydrogen line at 121.8 nm, which is slightly longer in wavelength.
3. A longer wavelength indicates that the light is redshifted.
4. Redshift occurs when an object is moving away from the observer, causing the light waves to stretch.
5. Therefore, we can conclude that the star is moving away from us.

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Two cars X and Y start from two points separated by 75 m. Y which is ahead of X. starts from rest with acceleration of 10 m/s2 and X starts with uniform velocity of 40 m/s . The time gap between the two meetings would be approximately 1.44 seconds.

Let's assume that the two cars meet for the first time after time t₁, and then they meet for the second time after time t₂.

We can start by finding the time it takes for car Y to catch up to car X for the first time. We can use the following kinematic equation:

d = ut + (1/2)at²

where d is the distance between the two cars, u is the initial velocity of car X, a is the acceleration of car Y, and t is the time it takes for car Y to catch up to car X.

Plugging in the values, we get:

75 = 40t₁ + (1/2)(10)t₁²

Simplifying the equation, we get:

5t₁² + 8t₁ - 15 = 0

Solving for t1 using the quadratic formula, we get:

-t₁ = 1.5 seconds or -1 seconds

Since time cannot be negative, we discard the negative solution and conclude that the two cars meet for the first time after 1.5 seconds.

Now, let's find the time it takes for the two cars to meet for the second time. We can use the fact that the two cars have covered the same distance between their first and second meetings.

The distance covered by car Y during the time t₁ is:

d₁ = (1/2)(10)(1.5)² = 11.25 m

The distance remaining between the two cars is:

75 - 2d₂ = 52.5 m

To find the time it takes for car Y to cover this distance, we can use the same kinematic equation as before:

52.5 = 0t₂ + (1/2)(10)t₂²

Simplifying the equation, we get:

t₂ = (21)

Therefore, the time gap between the two meetings is:

t₂ - t₁ = √(21) - 1.5 seconds

So, the time gap between the two meetings is approximately 1.44 seconds.

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Answer:

On the other hand, Florida's Gulf Coast experiences the greatest number of thunderstorms out of any U.S. location. These types of storms occur on average 130 days per year in Florida.

a)

The initial speed, u = 0 m/s (The boat starts from rest)

Th final speed, v = 7 m/s

The time, t = 15 s

To find the average acceleration, use the equation below

The acceleration of the boat is in the direction of the motion

b) If the boat continues with the same acceleration for another 6 seconds:

Total time, t = 6 + 15 = 21 s

Speed = Acceration x time

Speed = 0.47 x 21

Speed = 9.87 m/s

Option (B) is the best choice in light of the stated statement. The Moon's orbital plane is inclined toward the ecliptic plane by around 5°.

The Moon will finish moving away from the planet at present rate of separation in around 15 billion years, according to calculations of the development of the Earth/Moon system. In around 6 to 7 billion years, our Sun is predicted to enter the Red Giant phase.

According to Newton's first law of motion, an item in motion will continue to move in a straight path if no force is applied to it. But since the Moon is subject to gravity, it deviates from the route that it would normally take.

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The option that is a reason that the interior of the Earth is  hot is  option C:  Leftover heat from formation.

The heat from when the planet formed and the heat from radioactive element decay are the two main causes of the extremely heated interior of Earth.

Note that the Earth's interior is warm because the accretion process, which created Earth, produced a lot of heat. Through the course of geologic time, radioactive decay of unstable isotopes has supplied more heat (heat is a byproduct of the decay process). Only the outer core is heated enough to be above the melting point for material of that composition under that level of pressure, making molten rock or magma extremely uncommon in the interior of the earth.

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The pH of the blood plasma sample would be approximately 6.076.

To calculate the pH of a blood plasma sample with a total \(CO_2\) concentration ([\(CO_2\)]) of 27.7 mm and bicarbonate concentration ([\(HCO_3^-\)]) of 26.1 mm, we can use the Henderson-Hasselbalch equation:

pH = pKa + log ([\(HCO_3^-\)] / [CO2])

Given that pKa is approximately 6.1 at 37 degrees Celsius, we can substitute the values:

pH = 6.1 + log (26.1 / 27.7)

Calculating the ratio:

pH = 6.1 + log (0.943)

Using logarithm properties:

pH ≈ 6.1 - 0.024

Therefore, the pH of the blood plasma sample would be approximately 6.076.

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Answer:

30.5mm

Explanation:

There are 300 pages, so to find the number of pages we do 0.1mm*300 to get 30mm. There are two covers in the book (the front and the back). 0.25mm*2 = 0.5mm. To determine the total thickness of the book we do 30mm+0.5mm to get a total of 30.5mm

Your answer is 30.5mm.

Answer:

15.5mm

Explanation:

there are 150 pages(one page has 2 sides so 300/2 = 150) and 2 covers

page's thickness is 0.1mm, cover's thickness is 0.25

so books thickness = 150*0.1+0.25*2 = 15.5mm

Answer:

Hi, Im Jenna! Here is ur ansswer Pls mark as braijnliest

Explanation:

solution.

The formula for linear expansivity is

α = (If – If) / If (0f – 0i ) is used to determine the linear expansivity

If – final length,

I – initial length

0f – final tempt.

0i – initial tempt.

(b) (ii)

I = 3 m

0 = 29oC

02 = 41oC

α = 1.0 x 10 k-1

using safety gap = change in length

Δ l = α I Δ Θ

1 x I0-5 x 3.0 x (41 – 29) = 3.6 x 10-3 m = 0.0036

The estimated demand for Week 4 is 36.3

MAD(Mean Absolute Deviation) is used to calculate the average difference between forecast values and actual values. It calculates the deviation by taking the absolute value of the difference between actual and forecasted demand. The formula to calculate Mean Absolute Deviation is:

MAD= Sum of| Actual demand - Forecast demand | / number of periods

In the given table, the Actual demand is shown as B and the forecast demand is shown as F.

B Actual Forecast 11 40 41 35 38 3 38 35 33 30

Calculation of MAD:

Actual (B) Forecast (F) |B-F|11 40 29.041 35 5.043 38 0.053 3 35.054 38 3.055 35 0.056 33 3.057 30 3.058 0.0 30.0Total 103.0

The number of periods is 9 as shown in the table.

MAD= 103/9MAD= 11.44

Mean Squared Error (MSE) measures the average squared difference between the actual and forecasted values. The formula for MSE is:

MSE= Sum of (Actual demand - Forecast demand)^2 / number of periods.

Calculation of MSE:

Actual (B) Forecast (F) (B-F)^2 11 40 841 35 25 625 38 0 0 3 35 484 38 0 0 35 33 4 30 0 900Total 2854

The number of periods is 9 as shown in the table.

MSE= 2854/9MSE= 317.1

Therefore, the calculated MAD is 11.44 and MSE is 317.1.

Trend Projection formula is given by:

Y = a + bx

where Y is the estimated demand for a particular period.

a is the Y-intercept

b is the slope of the regression line x is the period number

In the given table, the Week number is shown as X and the Actual demand is shown as Y.

Week number Actual Demand 11 24 22 29

Using trend projection for Week 3, we can calculate the demand as follows:

Slope (b) = (nΣ(xy) - Σx Σy) / (nΣ(x^2) - (Σx)^2) =(2*22 - 1*24)/(2*3 - 1*1) = 20/5 = 4

Intercept (a) = Σy/n - b(Σx/n) =(24+22)/2 - 4(2/2) = 23Y = a + bx = 23 + 4(3) = 35

Therefore, the estimated demand for Week 3 is 35.

Using trend projection for Week 4, we can calculate the demand as follows:

Slope (b) = (nΣ(xy) - Σx Σy) / (nΣ(x^2) - (Σx)^2) =(2*29 - 1*24)/(2*5 - 1*1) = 34/9 = 3.78

Intercept (a) = Σy/n - b(Σx/n) =(24+22+29)/3 - 3.78(2.0) = 21.5Y = a + bx = 21.5 + 3.78(4) = 36.3

Therefore, the estimated demand for Week 4 is 36.3.

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Answer:

a) The baseball spends 0.674 seconds in the air

b) The horizontal distance from the roof edge to the point where the baseball lands on the ground = 2.02 m

Explanation:

The ball's initial speed, u = 3.8 m/s

θ = 38°

The edge of the roof has a height, H = 3.30 m

The vertical motion of the baseball can be given by the equation:

\(H = U_{y} t + 0.5a_{y} t^{2}\).........(1)

Vertical acceleration of the baseball, \(a_y = 9.8 m/s^2\)

The vertical component of the initial speed can be calculated by:

\(U_y = Usin \theta\\U_y = 3.8 sin 38\\U_y = 2.34 m/s\)

Substituting the appropriate values into equation (1):

\(3.8 = 2.34 t + 0.5(9.8)} t^{2}\\4.9t^2 + 2.34t - 3.8 = 0\)

Solving for t in the quadratic equation above:

t = 0.674 s

To calculate the horizontal distance, S, use the formula below:

\(S = U_xt + 0.5a_xt^2\)

Horizontal acceleration of the baseball, \(a_x = 0 m/s^2\)

The horizontal component of the initial speed can be calculated as:

\(U_x = Ucos \theta\\U_x = 3.8 cos 38\\ U_x = 2.99 m/s\)

S = 2.99(0.674) + 0.5(0)

S = 2.02 m

Answer:

Please find the answer in the explanation.

Explanation:

The variable/s you can manipulate in the simulation to make all the items get the same proximate values for their acceleration will be the variable final velocity. Since all of them have zero initial velocity, the acceleration will tend to zero if they have a constant velocity.

If the final velocity is also zero or approximately equal to zero, that means the velocity is constant. And whenever there is constant velocity, the acceleration will be equal to zero.

Also, if the final velocity of all the parameters are very closed, they will surely have approximately same acceleration.

The variable which can be manipulated in the simulation will be the final

velocity.

The table shows all of them having the same initial velocity which is zero,

then the final velocity will have to be varied in order to get the same

proximate values for their acceleration.

Acceleration is the rate of change of velocity with time and when the velocity

is constant or equal to zero, the acceleration will be equal to zero.If the final

velocity of all the parameters are very close in value , then they will have

proximate values for acceleration.

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Answer:

The angle of incidence is equal to the angle of reflection.

Explanation:

angle of incidence (i) = angle of reflection (r)

So if the angle of incidence was 45°, the angle of reflection would also be 45°.

Electric field  can be represented as a collection of vectors at all points in space is the true fact about electric field of a charge .

Option B is correct.

A field that surrounds an electric charge and exerts a force on other charged objects in its vicinity is known as an electric field. It can be represented as a collection of vectors at any point in space and is a mathematical representation of the electric force that occurs between charges. The effect that a charged object has on other charged objects in its environment is described by the electric field, which is a measurement of the electric potential.

Coulomb's law provides the formula for the electric field (E) caused by a single point charge (q) at a point in space:

The electric field caused by a single point charge can be calculated using the formula E = k  q / r², but for multiple charges, the electric field is calculated by adding the fields caused by each charge.

Incomplete question :

18. Which fact is true about an electric field?

a. It is always created by a single point charge.

b. It can be represented as a collection of vectors at all points in space.

c. It exerts a force on any object with mass.

d. All of these.

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The smallest radius of the sphere before it is sent beyond our solar system is: 0.023 AU.

The smallest radius of a perfectly absorbing sphere with a density of 1000 kg/m³, which is gravitationally attracted to the Sun and is feeling a repulsive force due to radiation can be determined by following the given steps:

The gravitational force on the sphere at a distance of 1 AU from the sun is given by
F = GmM/r²F = 6.67 × 10⁻¹¹ × mM / (1.5 × 10¹¹)²F = 3.52 × 10⁻⁷mM

The repulsive force and the gravitational force on the sphere are equal when:r³ = L / 4πGcMm

Using the given values:r³ = (3.9 × 10²⁶) / (4π × 6.67 × 10⁻¹¹ × 2.998 × 10⁸ × (2 × 10³) × m sun × m)r³ = (1.46 × 10¹⁹) / m

The smallest radius of the sphere, beyond which it will be sent beyond the solar system is: r = (1.46 × 10¹⁹m³ / 1000kgm⁻³)¹∕³r = 3.44 × 10⁶ m, which is equivalent to 0.023 AU.

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Answer:

c: long and thin resistor.

Explanation:

The resistance of a resistor is given by:

R = ρ*L/A

where:

R = resistance

ρ = resistivity (depends on the material)

L =  length of the material

A = cross-sectional area of the material

We can see that the length is on the numerator, which means that if we increase the length, then the resistance is increased.

We also can see that the cross-sectional area is on the denominator, then if we increase the area (for example, with a ticker resistor) the resistance decreases.

Then if we want to maximize the resistance, we need to have a long and thin resistor, so the correct answer is c.

The original volume of the hydrogen sample was 0.2997 L if a sample of hydrogen at 1. 65 atm had its pressure decreased to 0. 454 atm producing a new volume of 755 ml.

We can use the Ideal Gas Law to find the original volume of the hydrogen sample. The Ideal Gas Law states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature. Assuming that the temperature remains constant, we can write:

P1V1 = P2V2

where P1 is the initial pressure of 1.65 atm, V1 is the initial volume, P2 is the final pressure of 0.454 atm, and V2 is the final volume of 755 mL. Converting the volumes to liters and the pressures to atmospheres, we have:

V1 = (P2V2) / P1

V1 = (0.454 * 0.755) / 1.65

V1 = 0.2997 L

So, the original volume of the hydrogen sample was 0.2997 L.

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Answer:

this should help u

In physics, circular motion is a movement of an object along the circumference of a circle or rotation along a circular path. It can be uniform, with constant angular rate of rotation and constant spe…

It is constantly accelerating. But while it moves on a curved trajectory, the surface of the earth curves away from the object so that the distance between the earth and the object stays constant.

The lowest point on the circular route has the most kinetic energy,

whereas the highest point has the least. The total amount of energy is preserved.

Circular motion is literally the motion of an object on a circle, subject to the centripetal force. For example when you swing around a ball at the end of a rope

Explanation:

Answer:

Electrons are retained by the electromagnetic force in the orbit around the nucleus since the nucleus is positively charged in the middle of the atom and absorbs the electrons charged negatively.

Hope this helps!

We have that for the Question "Why do you think the electron of the hydrogen atom stays close to the proton in the atom’s nucleus" it can be said that

From the question we are told

Why do you think the electron of the hydrogen atom stays close to the proton in the atom’s nucleus?

Generally

This is because of the law of attraction where unlike charges reply

Therefore

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Answer:

3m/s^2

Explanation:

newton's 2nd law F=MA

f is given as 30 and m is 10

plug into the equation and find a is 3 (30/10)

The given statement "The seasonal polar caps on Mars, which grow and shrink over the year, are primarily carbon dioxide." is True. The seasonal polar caps on Mars primarily consist of carbon dioxide.

The seasonal polar caps on Mars are primarily made up of carbon dioxide, also known as dry ice. During the Martian winter, the carbon dioxide freezes out of the atmosphere and forms a layer of ice on the polar caps. As the planet moves closer to the sun in the spring and summer, the ice begins to sublimate, or turn directly from a solid to a gas, and the polar caps shrink in size.

The process is reversed during the fall and winter as the planet moves farther from the sun and the carbon dioxide freezes out of the atmosphere once again. These seasonal changes in the polar caps have been studied extensively by spacecraft orbiting Mars and provide important information about the planet's climate and geology.

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Answer:

50000g

Explanation:

kg x 1000 = g

so: 50 kg x 1000 = 50000 g

add the units so they can be clear what are you doing