Sometimes a person cannot clearly see objects close up or far away. To correct this type of vision, bifocals are often used. The top half of the lens is used to view distant objects and the bottom half of the lens is used to view objects close to the eye. Bifocal lenses are used to correct his vision. A diverging lens is used in the top part of the lens to allow the person to clearly see distant objects.
1. What power lens (in diopters) should be used in the top half of the lens to allow her to clearly see distant objects?
2. What power lens (in diopters) should be used in the bottom half of the lens to allow him to clearly see objects 25 cm away?

Precipitation amount, storm frequency, and severity, storm duration, kind of precipitation, wind during storm, and wind during evaporation are the main precipitation and storm elements that influence interruption loss (Kenneth, 1996).

All procedures that stop rainfall from instantly reaching the soil are referred to as interceptions. The two main ways that vegetation intercepts water are by catching it on leaf surfaces throughout the canopy and by depositing litter on the ground.

Precipitation that is intercepted by leaves, plant branches, and the forest floor prevents it from reaching the soil and instead stays on the surface.

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The density of the second liquid is 0.812 g/cm³

To calculate the density of the second liquid, we need to use the principle of displacement. The mass of the liquid can be found by subtracting the mass of the empty density bottle from the mass of the bottle filled with the liquid. Therefore, the mass of the liquid is:

mass of liquid = mass of bottle + liquid - mass of empty bottle

mass of liquid = 39.84g + x - 18.00g

where x is the mass of the liquid.

We can now use the density formula, which is:

density = mass/volume

The volume of the liquid is equal to the volume of the density bottle that is filled with the liquid, which can be calculated by subtracting the volume of the empty bottle from the volume of the bottle filled with the liquid. Therefore, the volume of the liquid is:

volume of liquid = volume of bottle filled with liquid - volume of empty bottle

We can now substitute this expression into the density formula to get:

density of liquid = mass of liquid / (volume of bottle filled with liquid - volume of empty bottle)

We know that the density of water is 1000 kg/m³, which is equal to 1 g/cm³. We can use this to find the volume of the liquid by dividing the mass of water by its density:

volume of water = mass of water / density of water

volume of water = 44.00g / 1 g/cm³

volume of water = 44.00 cm³

Now, we can calculate the volume of the density bottle filled with the second liquid by using the principle of displacement:

volume of bottle filled with liquid = volume of water - volume of liquid

volume of bottle filled with liquid = 44.00 cm³ - (39.84g - 18.00g) / 1 g/cm³

volume of bottle filled with liquid = 44.00 cm³ - 21.84 cm³

volume of bottle filled with liquid = 22.16 cm³

Finally, we can substitute these values into the density formula to get:

density of liquid = x / 22.16 cm³

Solving for x, we get:

x = density of liquid x 22.16 cm³

Substituting x back into the mass equation, we get:

mass of liquid = 39.84g + (density of liquid x 22.16 cm³) - 18.00g

Solving for the density of the liquid, we get:

density of liquid = (mass of liquid - 21.84g) / 22.16 cm³

Substituting the given values, we get:

density of liquid = (39.84g - 21.84g) / 22.16 cm³ = 0.812 g/cm³

In conclusion, the density of the second liquid is 0.812 g/cm³. This value is less than the density of water, which means that the second liquid is less dense than water and will float on top of water.

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The time elapsed between the first splash and the second splash is approximately 0.69 seconds.

To calculate this, we consider the motion of two rocks thrown simultaneously from a bridge. Heather throws a rock straight down with a speed of 14 m/s, while Jerry throws a rock straight up with the same speed.

We use the equation for displacement in uniformly accelerated motion: s = ut + (1/2)at^2.

For Heather's rock, which is thrown downwards, the initial velocity (u) is positive and the acceleration (a) due to gravity is negative (-9.8 m/s^2). The displacement (s) is the height of the bridge (46 m).

Solving the equation, we find two possible values for the time (t): t ≈ -4.91 s and t ≈ 1.91 s.

Since time cannot be negative in this context, we discard the negative value and consider t ≈ 1.91 s as the time it takes for Heather's rock to hit the water.

For Jerry's rock, thrown upwards, we use the same equation with the same initial velocity and acceleration. The displacement is also the height of the bridge, but negative.

Solving the equation, we find t ≈ -5.68 s and t ≈ 1.22 s. Again, we discard the negative value and consider t ≈ 1.22 s as the time it takes for Jerry's rock to reach its maximum height before falling back down.

To find the time difference between the first and second splash, we subtract t ≈ 1.91 s (Heather's rock) from t ≈ 1.22 s (Jerry's rock). This gives us a time difference of approximately 0.69 seconds.

Therefore, the time elapsed between the first splash and the second splash is approximately 0.69 seconds.

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The accurate statements are:Her average velocity was 100 kilometers per hour south.At one point, her instantaneous velocity was 125 kilometers per hour south.

The accurate statements about Maryanne's drive are:

Her average velocity was 100 kilometers per hour south. Average velocity is calculated by dividing the total displacement by the total time taken. In this case, since she drove directly south for a distance of 100 km in 1 hour, her average velocity is indeed 100 km/h south.

At one point, her instantaneous velocity was 125 kilometers per hour south. Instantaneous velocity refers to the velocity at a specific moment in time. Although her average velocity was 100 km/h south, there could have been moments during her drive where her speed reached 125 km/h south, indicating her instantaneous velocity.

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A

Explanation: sorry sir but its required step up transformer for high voltage not step

(a)

Potential Energy  = 4.95 J

Kinetic Energy =0.132 J

b.) the total mechanical energy of the ball before Hanif spikes it is 5.08 J.

Potential energy (PE) = mgh

Kinetic energy (KE) = (1/2)mv^2

m = 0.226 kg

h = 2.29 m

v = 1.06 m/s

g = 9.81 m/s^2 (acceleration due to gravity)

PE = mgh = (0.226 kg)(9.81 m/s^2)(2.29 m) = 4.95 J

KE = (1/2)mv^2 = (1/2)(0.226 kg)(1.06 m/s)^2 = 0.132 J

(b) The total mechanical energy of the ball before Hanif spikes it is the sum of its potential and kinetic energy:

Total mechanical energy = PE + KE = 4.95 J + 0.132 J = 5.08 J

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Answer:

Explanation:

Earth's atmosphere contains greenhouse gases that trap heat. While they allow sunlight to pass through the atmosphere, they also prevent the heat it brings from leaving it.

Answer:

Explanation:

Frequency is oscillations per second.

So we have to find the Number of seconds she paced.

2 minutes = 2 X 60

               = 120 seconds

Therefore,

Her frequency = 10 / 120

                       = 1/12 Hertz

An athlete swings a 7.9 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.9 m at an angular speed of 0.27 rev/s. The tangential speed of the ball will be  0.459  m/s

Tangential velocity / speed  is the linear speed of any object moving along a circular path.

Angular speed is defined as the rate of change of angular displacement

tangential speed = angular speed * radius of the circle

given

radius = 0.9 m

angular speed = 0.27 rev/sec = 1.70 rad/sec

tangential speed =  0.27 * 1.70  = 0.459  m/s

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Increasing the current in the filament.

Decreasing the potential difference between the cathode and anode.

Decreasing the current in the filament.

Increasing the potential difference between the cathode and the anode.

Energy = (power) x (time)

-- For the toaster:

Power = 1.4 kW  =  1,400 watts

Time = 5.4 minutes = 324 seconds

Energy = (1,400 W) x (324 s)  =  453,600 Joules

-- For the CFL bulb:

Power = 11 watts

Time = 10.5 hours = 37,800 seconds

Energy = (11 W) x (37,800 s)  =  415,800 Joules

-- The toaster uses energy at 127 times the rate of the CFL bulb.

-- The CFL bulb uses energy at 0.0079 times the rate of the toaster.

-- The toaster is used for 0.0086 times as long as the CFL bulb.

-- The CFL bulb is used for 116.7 times as long as the toaster.    

-- The toaster uses 9.1% more energy than the CFL bulb.

-- The CFL bulb uses 8.3% less energy than the toaster.  

Answer:

mercury ,venus, earth

Answer

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

it’s 2.5 m/s

Explanation:

i’m too lazy but trust

This question can be solved by using the law of conservation of momentum.

The final speed of the lighter 2 kg train is " 2.5 ".

When two moving objects collide with each other, the law of conservation of momentum can be applied to them as follows:

\(m_1u_1+m_2u_2=m_1v_1+m_2v_2\)

where,

m₁ = mass of heavier train = 3 kg

m₂ = mass of lighter train = 2 kg

u₁ = initial speed of heavier train = 2.8

u₂ = initial speed of lighter train = 1.6

v₁ = final speed of heavier train = 2.2

v₂ = final speed of lighter train = ?

Therefore,

(3 kg)(2.8) + (2 kg)(1.6) = (3 kg)(2.2) + (2 kg)(v₂)

\(v_2 = \frac{5 kg}{2 kg}\)

v₂ = 2.5

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The attached picture illustrates the law of conservation of momentum.

Supersonic flights are moving with speed greater than that of sound. This speed through air will combine the pressure waves and creates shock waves. Continuation of shock waves leads to sonic boom in air.

Sonic booms are sound created on the ground by overpressure in the air generated by fastly moving objects. Similar to someone dumping goods from a moving car, an aircraft travelling at supersonic speeds continuously produces shock waves that cause sonic booms to travel throughout its flight path.

The boom seems to be swept rearward as it moves away from the aeroplane from its point of view. The boom will strike the ground in front of the aircraft if the aircraft makes a rapid turn or pulls up.

The abrupt start and release of pressure following the building by the shock wave or "peak overpressure" is what is heard as a "sonic boom" on the ground. Only a few pounds per square foot change in pressure results from a sonic boom, which is about equivalent to the pressure shift we experience in an elevator.

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A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm, the electromotive force (emf) of the cell is approximately 14.5 volts.

To find the emf of the cell, we can apply Ohm's Law and Kirchhoff's laws to analyze the circuit.

Given:

Resistance of the coil, R1 = 4 ohm

Resistance of the other resistor, R2 = 8 ohm

Current passing through the 8-ohm resistor, I = 2A

First, let's analyze the parallel combination of the 4-ohm and 8-ohm resistors.

The total resistance of two resistors in parallel can be calculated using the formula:

1/Rp = 1/R1 + 1/R2

Substituting the given values, we have:

1/Rp = 1/4 + 1/8

1/Rp = 2/8 + 1/8

1/Rp = 3/8

Rp = 8/3 ohm

Now, let's consider the total resistance in the circuit, which includes the internal resistance of the cell (0.5 ohm) and the parallel combination of the resistors (8/3 ohm).

R_total = R_internal + Rp

R_total = 0.5 + 8/3

R_total = 1.833 ohm

Now, we can find the emf of the cell using Ohm's Law:

emf = I * R_total

emf = 2 * 1.833

emf ≈ 3.667 volts

Therefore, the emf of the cell is approximately 3.667 volts.

However, it is worth noting that the given current of 2A passing through the 8-ohm resistor does not affect the emf calculation since the emf of the cell is independent of the current in the circuit.

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Answer:

\( {3}^{n} \)

Explanation:

https://www.doubtnut.com/question-answers/a-cellphone-weighs-about-28x10n-pounds-which-value-of-n-is-most-reasonable-a-3-b-2-c-0-d-1-433477

The vector that is perpendicular to the original vector is vector B = (√3 i  - 2√3 k )

The vector that is perpendicular to the original vector is calculated as follows;

Let the vector = B = (xi + 0j + zk)

The dot product of A and B must be equal to zero.

A . B = (2i + 3j + k) . (xi + 0j + zk)

A.B = 2x  + z = 0

2x = - z

The product of the vector must be √15 and it is calculated as;

√ (x² + z²) = √15

x² + z² = 15

Substitute the value of x for z;

x²  +  (-2x)² = 15

x² + 4x² = 15

5x² = 15

x² = 15/5

x² = 3

x = √3

z = - 2x

z = -2√3

The vector B = (√3 i  - 2√3 k )

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Answer:

2.74

Explanation:

The given problem can be exemplified in the following diagram:

We are given that a ladder is against a wall. According to the diagram, the ladder, the wall, and the floor form a right triangle, therefore, if "T" is the distance from the top to the floor and "B" is the distance from the bottom to the wall we can apply the Pythagorean theorem and we get:

Now, since we want to know the speed, we will derivate implicitly with respect to time on both sides of the equation:

Now we solve for the value of the speed of the top of the ladder, this is dT/dt:

The 2 cancels out:

Now we divide both sides by "T":

Now, since we determine the value of "T" from the Pythagorean theorem, we get:

Subtracting B squared from both sides:

Taking the square root:

Now we replace these values in the formula for the velocity:

Now we have an expression for the velocity of the top of the ladder. Replacing the given values:

Solving the operations we get:

Therefore, the speed of the top of the ladder is -0.47 feet per second.

Repeated rhythmic pattern best describes the introduction to Imperial March, heard in this excerpt.

It first appeared in the second movie, The Empire Strikes Back, also is known as the leitmotiv, a recurring motif connected to certain people or incidents in a play. The Imperial Motif, a motif for the Empire that appeared in the previous movie, is replaced by the Imperial March in the sequel.

The influx of minor chords, especially those that nearly sound normal, conveys the idea of a deeply deviant, malevolent worldview. For fun, I transposed these warped chords in the song down a semitone so you could hear how the march will sound with the more traditional chords.

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120V is the line-to-neutral voltage .

It is defined as the voltage of a power transmission circuit or distribution circuit up to the point of transformation or utilization.

The secondary line voltage is \(V_{L} = 280 V\)

The notation AC indicates that the current is an alternating current.

The given formula is \(V_{ph} = \frac{V_{L} }{\sqrt{3} }\)

Substitute  208 V into the formula

\(V_{ph} = \frac{V_{L} }{\sqrt{3} } \\\\V_{ph} = \frac{208V}{\sqrt{3} } \\\\= 120 (Approx)\)

So, the line-to-neutral voltage is 120 V.

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Given that the force between two charged particles, we'll call charge 1 and 2 is, \(\vec F_{0}=200 \ N\). The question asks us to find the new force between charges 1 and 2 if the charge on 1 increases by 3 times and the charge on 2 decreases by 4 times.

Equation to calculate the electric force between two charged particles:

\(\vec F_e=k_e\frac{q_1q_2}{r^2} \\\\ k_e=Coulomb's \ Constant= 8.99 \times 10^9 \ \frac{Nm^2}{C^2}\\\)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

\(\vec F_0=k_e\frac{q_1q_2}{r^2} =200 \ N \ and \ \boxed{\vec F_f=k_e\frac{(3 q_1)(\frac{1}{4} q_2)}{r^2} }\)

\(\Longrightarrow \vec F_f=k_e\frac{(3 q_1)(\frac{1}{4} q_2)}{r^2} \Longrightarrow \vec F_f=\frac{3}{4} k_e\frac{q_1 q_2}{r^2} \Longrightarrow \vec F_f=\frac{3}{4}(200) \Longrightarrow \boxed{\boxed{\vec F_f=150 \ N}}\)

Thus, the new force would be 150 N.

The new force will be 150N

The force between two charged objects is given by Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them. Mathematically, Coulomb's law can be expressed as:

F = k * (q1 * q2) / r^2

where F is the force, k is Coulomb's constant, q1 and q2 are the charges of the two objects, and r is the distance between them.

In this problem, we are given that the force between the two objects is 200N. Let us assume that the charges of the two objects are q1 and q2, respectively. Using Coulomb's law, we can write:

200 = k * (q1 * q2) / r^2

Now, we are told that the charge of one object increases by a factor of 3, and the charge of the other object decreases by a factor of 4. Let us call the new charges q1' and q2', respectively. We can write:

q1' = 3 * q1

q2' = (1/4) * q2

Substituting these expressions into Coulomb's law, we get:

F' = k * (q1' * q2') / r^2

= k * [(3 * q1) * ((1/4) * q2)] / r^2

= k * (3/4) * (q1 * q2) / r^2

= (3/4) * F

Therefore, the new force between the two charged objects is 3/4 times the original force, or 150N.

In summary, the force between two charged objects is proportional to the product of the charges and inversely proportional to the square of the distance between them. If one charge increases by a factor of 3 and the other charge decreases by a factor of 4, the new force between them will be 3/4 times the original force. This is because the product of the charges is multiplied by (3/4) in Coulomb's law.

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Answer:

0.67m/s due east

Explanation:

Given parameters:

Displacement of the man  = 8m east

Time taken  = 12s

Unknown:

Velocity of the man  = ?

Solution:

The velocity of a body is the rate of displacement per time;

         Velocity  = \(\frac{Displacement}{time}\)  

       Velocity  = \(\frac{8}{12}\)   = 0.67m/s due east

Answer:

could u give a more longer understanding

The magnitude of magnetic force is 1.55 mN

We know that,

F = I B L Sin θ

where,

F = Magnetic force

I = Current

B = Magnetic field

L = Length

θ = Angle

Given that,

L = 240 mm = 0.24 m

I = 150 A

B = 5 * \(10^{-5}\) T

θ = 60°

F = 150 * 5 * \(10^{-5}\) * 0.24 * sin 60°

F = 1.55 mN

Magnetic force is the attractive or repulsive force created when electrically charged particles are moved. So, it is the consequence of an electromagnetic force which is one of the four fundamental forces of nature.

Therefore, the magnitude of magnetic force is 1.55 mN

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Answer:

The two answers that are likely to be true are:

She will think of the results as an opportunity to find joy.

She will identify areas for self-development in her results.

By setting her mind on growth, Jackie is likely to approach the personality test with a positive and open mindset. This can lead to the following outcomes:

She will think of the results as an opportunity to find joy: Jackie may view the test results as a chance to discover aspects of her personality that bring her joy and satisfaction. She might focus on finding strengths and positive qualities that can contribute to her personal and professional growth.

She will identify areas for self-development in her results: Rather than viewing the test results as fixed labels or limitations, Jackie is likely to see them as valuable feedback for self-improvement. She may actively seek out areas where she can further develop her skills, knowledge, and personality traits to enhance her personal and career growth.

It's important to note that the other options listed in the question (1. She will score high in the areas she chooses to and 2. She will respond based on what's best in her desired career path) are not directly related to having a growth mindset. They suggest a more biased or strategic approach to the test, which may not align with the concept of growth and self-improvement.

The value of  the missing resistance, R₃ = 10.35 ohms.

The value of the missing voltages, V₁ = 6 V, V ₃ = 24 V.

The value of the missing currents, I₁ = 3 A, I₃ = 2.32 A.

The values of the missing component of the circuit is calculated by applying the following formula.

The total resistance of the circuit;

For R₂, R₃, 1/R = 1/R₂ + 1/R₃

1/R = 1/12 +  1/R₃

1/R = (R₃ + 1)/(12R₃)

R = 12R₃ / (R₃ + 1)

For, R₁, R₂ and R₃, total resistance;

R = 12R₃ / (R₃ + 1) + R₁

R = [12R₃ / (R₃ + 1)] + 2

R = (12R₃ + 2(R₃ + 1) ) / (R₃ + 1)

R = (12R₃ + 2R₃ + 2 ) / (R₃ + 1)

R = (14R₃ + 2 ) / (R₃ + 1)

The total current in circuit is calculated as;

I = V/R

I = 30 / R

I = ( 30 ) / (14R₃ + 2 ) / (R₃ + 1)

I = (30R₃ + 30) / (14R₃ + 2) ------- (1)

The voltage in parallel circuit is the same

V₂ = V₃ = 24 V

V₃ = IR₃

24 = IR₃

I = 24/R₃  --------- (2)

Solve (1) and (2) together as follows;

24/R₃ = (30R₃ + 30) / (14R₃ + 2)

30R₃² - 306R - 48 = 0

Solve the quadratic equation, using formula method.

R₃ = 10.35 ohms

I₃ = V₃/R₃

I₃ = 24 V / 10.35

I₃ = 2.32 A

If the voltage drop at R₂ and R₃ = 24 V, the voltage drop at R₁ = 30V - 24 V = 6 V

The current in R₁ = V₁/R₁ = 6 V / 2 V = 3 A

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