30 unit If the value of an angle with the x-axis of a vector is 70 °, the value of the angle with the y axis is 60, what is the value of the angle with the z-axis?

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

The net force on q2 is 351.85N

Coulomb's law states the force of attraction or repulsion between two charged bodies is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

Therefore F= kq1q2/r², where k = 9×10⁹

q1= -66.3×10^-6C

q2= +108×10^-6C

q3= -43.2×10^-6C

r12= r23= 0.550m

the force between q1 and q2 =F12

F12=( 9×10⁹×66.3×10^-6×108×10^-6)/0.550²

F12= -213.04N

the force between q2 and q3 =F23

F23= (9×10⁹×108×10^-6×43.2×10^-6)/0.550²

F23= -138.81N

using addition of vectors, the net force = -213.04N+(-138.81N) = 351.85N

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Answer:

ok so first ur not a failure and its okay don't be so hard on ur self

The properties of group 18 elements, also referred to as noble gases or group 8 elements.

Eight valence electrons make them up.

They have enough electrons in their octet, therefore they don't need any more (stable).

are steady

Noble gases are those that are not reactive.

In order to gain or lose valence electrons to the element they interact with, elements create ions. They acquire a whole octet as a result. You might be wondering what a whole octet is. When an element contains all 8 valence electrons and is stable, it is said to have an octet, rendering it nonreactive.

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Speed of the bricks at the top of hill is calculated as 6.26 m/s. e) speed of the bricks at top of hill with 2 m of initial compression and 15% energy dissipation is calculated as 13.04 m/s.

The capacity or power to do work, like the capacity to move any object by the application of force is called energy.

Initial potential energy of compressed spring:

Ep = 1/2 kx^2 = 1/2 * 500 N/m * (2 m)^2 = 1000 J

Here, k is spring constant, x is compression of the spring, and J is unit of energy in joules.

Final potential energy of the bricks:

Ep = m g h = 100 N * 9.81 m/s^2 * 2 m

= 1962 J

As, Ep = Ep

1/2 kx^2 = m g h

v = sqrt(2gh) = sqrt(2 * 9.81 m/s^2 * 2 m) = 6.26 m/s

Therefore, speed of the bricks at the top of the hill is 6.26 m/s.

e. If 15% of  energy is dissipated through friction, final kinetic energy of the bricks at the top of hill will be 85% of initial potential energy of compressed spring.

0.85 * 1000 J = 1/2 mv^2

v = sqrt(170 / 1)

= 13.04 m/s

Therefore, speed of bricks at the top of the hill with 2 m of initial compression and 15% energy dissipation is 13.04 m/s.

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Earth’s rotation is the spinning of the planet on its axis, which takes approximately 24 hours to complete one full rotation. This rotation is the reason why we experience daytime and nighttime.

As Earth rotates, different parts of the planet are exposed to the sun’s rays at different times. When the side of the Earth that faces the sun is in daylight, it is daytime. Conversely, when the side of the Earth that faces away from the sun is in darkness, it is nighttime.The rotation of Earth also creates a phenomenon called the “solar day”. This is the time it takes for the Earth to rotate exactly once on its axis relative to the position of the sun. The solar day is slightly longer than the 24-hour day that we use for our clocks, as Earth also moves in its orbit around the sun. Therefore, the sun appears to move slightly eastward each day, causing the solar day to be about 4 minutes longer than the 24-hour day.
The rotation of Earth also creates different time zones around the world. As the planet rotates, different parts of the world are exposed to the sun’s rays at different times. For example, when it is noon in New York, it is 9 am in Los Angeles and 5 pm in London. This is because the Earth is divided into 24 time zones, each approximately 15 degrees of longitude wide, and each time zone is one hour ahead or behind the next.

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The direction of the tension force is to the right, while the friction force is downwards.

A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

In conclusion, a force is not something that an object possesses or possesses. Another object applies a force to another. The concept of a force is not limited to living or non-living things.

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To find the resultant force we will first find the component force of the forces given, to do this, we need to remember that any vector can be express in component form by:

For force u we notice that its magnitude is 280 N and its angle is zero, then we have:

For force v we know that its magnitude is 135 N and its angle is 45°, then we have:

Now that we have both vectors in component form we add them to get the resultant in component form:

Once we have the resultant force in component form we can find its magnitude and direction if we remember that they are given by:

Plugging the values we found for the components we have:

and

Therefore, the magnitude of the resultant force is 387.41 N and the direction is 14.27°

True. Immediately after the switch is closed, current only flows through the capacitor and not through the resistor. This is because the resistor offers resistance to the current flow while the capacitor acts as a short in the circuit.

What is a RC circuit?

Consider the circuit diagram shown below. This circuit is known as an RC circuit. In an RC circuit:

Supposing that the capacitor has been kept uncharged for a long period of time, at this instant when the switch is closed, only the current flows through the capacitor and not through the resistor.

This is because the resistor offers resistance to current flow while the capacitor acts as a short in the circuit.

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Answer:

The speed of the riders on the Singapore Flyer is approximately 0.262 m/s

Explanation:

The dimensions of the tallest Ferris wheel in the world are;

The diameter of the Ferris wheel, D = 150 m

The tine it takes the Ferris wheel to make a full circle, T = 30 minutes = 30 min × 60 s/min = 1,800 seconds

The angular velocity of the Ferris wheel, ω = 2·π/T

The linear velocity of the Ferris wheel, v = r·ω = The speed of the riders

Where;

r = The radius of the Ferris wheel = D/2

D = 150 m

∴ r = 150 m/2 = 75 m

∴ v = r·2·π/T

∴ v = 75 m × 2 × π/(1,800 s) ≈ 0.262 m/s

The speed of the riders on the Singapore Flyer, v ≈ 0.262 m/s

Answer:

X-Ray

Explanation:

ON EDGE 2021

The electromagnetic wave that the CT scans are based on is called an X-ray.

When an electric field combines with a magnetic field, electromagnetic waves are created. An electromagnetic wave's magnetic and electric fields are oriented in a way that both are at right angles to each other and to the wave's direction.

Here,

A CT scan can be used to visualize almost every region of the body, and it is used to plan medical, surgical, or radiation treatments as well as detect diseases and injuries.

A narrowly focused, extremely sensitive x-ray beam that is employed in CT scanners scans the body in one particular plane. A rotating x-ray tube is used to operate the scanner as it revolves around the patient. Through the area of the body being examined, an x-ray beam is sent out in the shape of a fan.

Electromagnetic radiation includes X-rays. The highly intense X-ray photons can destroy live cells by fracturing molecules when emitted with tremendous energy.

Hence,

The electromagnetic wave that the CT scans are based on is called an X-ray.

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The linear homogeneous recurrence relation with constant coefficients that the sequence is: An = -(-1)n + (3)n or An = (1)n + (3)n

The sequence An = (n-3)(2n) + n(2n) satisfies the linear homogeneous recurrence relation with constant coefficients. In order to prove this, we need to first find the general formula of the sequence.

The formula can be found by replacing n with n+1 as follows:

An+1 = (n+1-3)(2n+2) + (n+1)(2n+2)

An+1 = n(2n+4) + (n+1)(2n+2)

An+1 = 2n² + 4n + 2n² + 4n + n + 2n + 2

An+1 = 4n² + 7n + 2

The characteristic equation of the linear homogeneous recurrence relation is given by:

r² - 2r - 3 = 0

Solving this quadratic equation, we get:r = -1 or r = 3

Hence, the general formula of the sequence is given by:An = A(-1)n + B(3)n

Now, we need to find the values of A and B using the initial values of the sequence. The first two terms of the sequence are given by:

A0 = -6 and A1 = 2

Substituting these values in the general formula, we get:

-6 = A + B2 = -A + 3B

From the above two equations, we can solve for A and B to get:

A = -1 and B = 1

Hence, the linear homogeneous recurrence relation with constant coefficients that the sequence An = (n-3)(2n) + n(2n) satisfies is given by:

An = -(-1)n + (3)n or An = (1)n + (3)n

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Answer:

Both

Explanation:

The S.I. unit of pressure is newton/meter square or pascal as both represent the same dimensional value.

Answer:

The magnetic field is doubled.

Explanation:

What happens to the strength of the magnetic field if one more 1.5 v dry cell is added?

The magnetic field due to a current carrying conductor is directly proportional to the current flowing in the wire.

If we connect one more battery of 1.5 V so the voltage is doubled and according to the Ohm's law, as the resistance of wire is constant, so the current in the wire is also doubled.

When the current doubles, the magnetic field produced by the wire is also  doubled.

Answer:

A) speed up

is the correct option

Answer:

slows down

Explanation:

As the temperature difference decreases the rate of transfer slows (hope this helps)

The ratio of acceleration for a solid sphere rolling down an incline without slipping and slipping down the incline without rolling is 5:7.

What is the straightforward meaning of acceleration?

Everything that causes a change in velocity is referred to as an acceleration. You can only accelerate in one of two ways—either by increasing your speed, altering your direction, or doing both. This is because velocity is a function of both your speed and direction.

What are velocity and acceleration?

The change in displacement is measured in terms of velocity. The rate at which velocity changes is known as acceleration. Given that it has both a magnitude and a direction, velocity is a vector quantity. As acceleration is merely the rate at which velocity changes, acceleration is likewise a vector quantity.

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Answer:

fitness is very important to me

Temperature is a measure of the average kinetic energy  energy of particles in a substance.

Temperature and kinetic energy have a directly proportional relationship.

Kelvin, Celsius, and Fahrenheit are three types of Temperature scales.

The average kinetic energy of the particles in a substance is measured by temperature. The overall kinetic energy of the particles in a substance is measured by its thermal energy. The temperature and thermal energy of a substance increase with particle mobility.

The average kinetic energy of a substance's particles is directly proportional to the substance's temperature.

The three temperature scales that are now in use are Kelvin, Celsius, and Fahrenheit.

Typically, calories or joules per gramme per degree Celsius are used as the units of specific heat. For instance, water has a specific heat of 1 calorie (or 4.186 joules) per gramme per degree Celsius.

Temperature is a measurement of that energy in substances, whereas kinetic energy is the energy of motion.

Temperature is a measurement of that energy in substances, whereas kinetic energy is the energy of motion. According to Zoe, a material has a temperature of 12 degrees Celsius. What does this indicate to Zoe regarding the substance? It has an average kinetic energy of 12 Celsius.

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Temperature is a measure of the average kinetic energy  energy of particles in a substance.

Temperature and kinetic energy have a directly proportional relationship.

Kelvin, Celsius, and Fahrenheit are three types of Temperature scales.

The average kinetic energy of the particles in a substance is measured by temperature. The overall kinetic energy of the particles in a substance is measured by its thermal energy. The temperature and thermal energy of a substance increase with particle mobility.

The average kinetic energy of a substance's particles is directly proportional to the substance's temperature.

The three temperature scales that are now in use are Kelvin, Celsius, and Fahrenheit.

Typically, calories or joules per gramme per degree Celsius are used as the units of specific heat. For instance, water has a specific heat of 1 calorie (or 4.186 joules) per gramme per degree Celsius.

Temperature is a measurement of that energy in substances, whereas kinetic energy is the energy of motion.

Temperature is a measurement of that energy in substances, whereas kinetic energy is the energy of motion. According to Zoe, a material has a temperature of 12 degrees Celsius. What does this indicate to Zoe regarding the substance? It has an average kinetic energy of 12 Celsius.

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The value of resistor R that gives the circuit in the figure a time constant of 22 μs is 220 Ω.

The circuit that is in the figure is shown below:Given that time constant (RC) = 22 μs. To find the value of resistor R, we need to use the formula for the time constant:

RC = τ, where R is the resistance and C is the capacitance of the circuit.

Rearranging the above formula, we get:R = τ / C

Where τ is the time constant and C is the capacitance of the circuit.

From the figure, the capacitance is given as 0.1 μF

.Substituting the values of τ and C in the above formula, we get:

R = (22 × 10⁻⁶ s) / (0.1 × 10⁻⁶ F)

R = 220 Ω

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The order of band in which the light becomes the brightest is n = 0.

Diffraction is the phenomena of the spreading of waves around obstacles. Diffraction occurs in electromagnetic radiation, such as light, X-rays, and gamma rays, etc.

When light waves pass near a barrier they tend to bend around that barrier and become spread out.

The order bands n=2 becomes dimmest due to the spreading out of the light wave.

Thus, the order of band in which the light becomes the brightest is n = 0.

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n = 0 is correct for edge. :)

The financial advantage of discontinuing the Beta product line would be a disadvantage of $9,840,000. The financial advantage of buying 100,000 units from the supplier instead of making them would be an advantage of $4,700,000.The financial advantage of buying 75,000 units from the supplier instead of making them would be an advantage of $3,525,000.

To calculate the financial advantage or disadvantage of discontinuing the Beta product line, we need to compare the costs and revenues associated with the current situation and the proposed scenario.

Currently, the company produces and sells 80,000 Betas and 100,000 Alphas. If the Beta product line is discontinued, the sales representatives can increase Alpha sales by 13,000 units.

In the current situation:

Revenue from Beta sales = 80,000 units × $162 = $12,960,000

Revenue from Alpha sales = 100,000 units × $240 = $24,000,000

Total revenue = $12,960,000 + $24,000,000 = $36,960,000

In the proposed scenario:

Increased Alpha sales = 113,000 units × $240 = $27,120,000

Therefore, the financial advantage or disadvantage can be calculated as:

Financial Advantage = Revenue in proposed scenario - Revenue in current situation

Financial Advantage = $27,120,000 - $36,960,000 = -$9,840,000

The financial advantage of discontinuing the Beta product line would be a disadvantage of $9,840,000.

To determine the financial advantage or disadvantage of buying 100,000 units from the supplier instead of making them, we need to compare the costs of production with the purchase cost from the supplier.

Cost of producing 100,000 Alphas:

Direct materials cost = 100,000 units × $35 = $3,500,000

Direct labor cost = 100,000 units × $48 = $4,800,000

Variable manufacturing overhead = 100,000 units × $27 = $2,700,000

Traceable fixed manufacturing overhead = 100,000 units × $35 = $3,500,000

Variable selling expenses = 100,000 units × $32 = $3,200,000

Common fixed expenses = 100,000 units × $30 = $3,000,000

Total cost of producing 100,000 units = $3,500,000 + $4,800,000 + $2,700,000 + $3,500,000 + $3,200,000 + $3,000,000 = $20,700,000

Cost of buying 100,000 units from the supplier = 100,000 units × $160 = $16,000,000

Therefore, the financial advantage or disadvantage can be calculated as:

Financial Advantage = Cost of producing - Cost of buying

Financial Advantage = $20,700,000 - $16,000,000 = $4,700,000

The financial advantage of buying 100,000 units from the supplier instead of making them would be an advantage of $4,700,000.

Similarly, to determine the financial advantage or disadvantage of buying 75,000 units from the supplier instead of making them, we follow the same calculations as in question 9, but with the quantities adjusted accordingly.

Cost of producing 75,000 Alphas:

Direct materials cost = 75,000 units × $35 = $2,625,000

Direct labor cost = 75,000 units × $48 = $3,600,000

Variable manufacturing overhead = 75,000 units × $27 = $2,025,000

Traceable fixed manufacturing overhead = 75,000 units × $35 = $2,625,000

Variable selling expenses = 75,000 units × $32 = $2,400,000

Common fixed expenses = 75,000 units × $30 = $2,250,000

Total cost of producing 75,000 units = $2,625,000 + $3,600,000 + $2,025,000 + $2,625,000 + $2,400,000 + $2,250,000 = $15,525,000

Cost of buying 75,000 units from the supplier = 75,000 units × $160 = $12,000,000

Therefore, the financial advantage or disadvantage can be calculated as:

Financial Advantage = Cost of producing - Cost of buying

Financial Advantage = $15,525,000 - $12,000,000 = $3,525,000

The financial advantage of buying 75,000 units from the supplier instead of making them would be an advantage of $3,525,000.

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Answer:

Capillary Action.

Explanation:

Capillary action is the ability of a liquid to flow in narrow spaces without the assistance of, or even in opposition to, external forces like gravity.

Answer:

The function that describes the acceleration of the particle at time t is:

a(t) = -6 m/s^2.

Explanation:

To find the function that describes the acceleration of the particle at time t, we need to take the second derivative of the position function s(t).

Given:

s(t) = -3t^2 - 4t + 1

Taking the derivative of s(t) with respect to t will give us the velocity function v(t):

v(t) = d/dt [-3t^2 - 4t + 1]

= -6t - 4

Now, we can take the derivative of v(t) with respect to t to find the acceleration function a(t):

a(t) = d/dt [-6t - 4]

= -6

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The plane travels a distance of 325 miles if the airplane travels for 2.5 hours at an average speed of 130 miles per hour. Using the distance formula (d = rt), we can calculate the distance.

To find the distance traveled by the airplane, we can use the distance formula, which is represented as d = rt. In this formula, "d" represents the distance, "r" represents the rate or speed at which the object is traveling, and "t" represents the time taken for the travel.

Given that the airplane travels for 2.5 hours at an average rate of 130 miles per hour, we can substitute these values into the formula. The rate of the airplane is 130 miles per hour, and the time taken is 2.5 hours.

Using the formula, we can calculate the distance traveled as follows:

d = rt

d = 130 mph × 2.5 hours

Multiplying the rate (130 mph) by the time (2.5 hours) gives us:

d = 325 miles

Therefore, the airplane travels a distance of 325 miles during the 2.5 hours of travel at an average rate of 130 miles per hour.

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The engine's efficiency is 16.21%. During one cycle a car's engine undergoes combustion and absorbs 475 J and expels 398 J as heat.

WQH=1 TCTH for efficiency. Naturally, these temperatures are in degrees Kelvin, thus for instance, the efficiency of a Carnot engine with a hot reservoir of boiling water and a cold reservoir of ice cold water will be 1(273/373)=0.27, or little more than 25% of the heat energy is converted into productive work.

Even the most effective heat engines have limited efficiency; it is often far below 50%. It follows that the energy that heat engines waste by dissipating into the environment is a significant loss of energy.

engine's efficiency = \(\frac{475-398}{475} *100%\)

engine's efficiency = \(\frac{77}{475} *100%\)

engine's efficiency = 0.1621*100

engine's efficiency = 16.21%

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The magnitude of the magnetic field inside the solenoid is 3.4×10^(-4) T.

To find the answer, we need to know about the magnetic field inside the solenoid.

I= 0.3 A

Thus, we can conclude that the magnitude of the magnetic field inside the solenoid is 3.4×10^(-4) T.

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Weather forecasts are made using barometers. An air pressure gauge, or barometer When the barometer reads "rising," the air pressure is rising; when it reads "falling," the air pressure is lowering.

Barometric pressure, to put it simply, is the measurement of air pressure in the atmosphere, more particularly, the measurement of the weight exerted by air molecules at a certain location on Earth.

barometer, a tool for calculating atmospheric pressure. A barometer may also be used to determine height since air pressure varies with elevation above or below sea level. Mercury and aneroid barometers are the two primary varieties.

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