A candy distributor needs to mix a 20% fat-content chocolate with a 60% fat-content chocolate to create 100 kilograms of a 52% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

We need 0.1 ml of a 100 mg/l nitrogen stock solution and 8 µl of a 50 mg/l phosphorus stock solution.

For nitrogen: The final concentration of nitrogen should be 2.5 mg/l and we have a 100 mg/l stock solution. We need to dilute the stock solution 100/2.5 = 40 times. So, the volume of the nitrogen stock solution required will be (4 ml / 40) = 0.1 ml.

For phosphorus: The final concentration of phosphorus should be 0.1 mg/l and we have a 50 mg/l stock solution. Dilute the stock solution 50/0.1 = 500 times. So, the volume of the phosphorus stock solution required will be (4 ml / 500) = 0.008 ml or 8 µl.

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Based on the data provided, the force that must be applied at the small piston is f = 1500 × 9.81 × 250/A.

Pascal's principle states that the pressure applied to an enclosedfluid is transmitted undiminished tp every portion of the fluid.

Mathematically:

f/a= F/A

where

Therefore:

f = Fa/A

Since the area of the large piston is not given

f = 1500 × 9.81 × 250/A

Therefore, the force that must be applied at the small piston is f = 1500 × 9.81 × 250/A.

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Answer:

Wow, thank you so much! I hope you have a great day!

For reflection, the angle of reflection is measured with respect to the normal.

The angle of reflection is the angle between the reflected ray and the normal to the reflecting surface. The normal is an imaginary line perpendicular to the surface at the point of incidence. To measure the angle of reflection, one compares the direction of the reflected ray with the direction of the normal line.

The law of reflection states that the angle of incidence (the angle between the incident ray and the normal) is equal to the angle of reflection. This principle applies to various types of reflections, such as light waves reflecting off a mirror or sound waves reflecting off a wall.

By measuring the angle of reflection with respect to the normal, we can quantify and analyze the behavior of reflected waves or rays as they interact with different surfaces.

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Answer:

Δx = 2m

Explanation:

From the given information:

De la información dada:

El desplazamiento ocurrió en un vector que se mueve desde una posición inicial particular hasta el final.

Entonces, supongamos que el desplazamiento es D;

Luego:

D = (7,5 ) - (5,7)

D = (2, -2)

Por lo tanto, el valor del desplazamiento de la coordenada x; Δx = 2m

Answer:

Height

Explanation:

the more height the more gravitational energy

The moment of inertia of the modified record will decrease by a factor of 1/4 compared to the original record.

The moment of inertia of an object depends on its mass distribution and its geometry. In the case of a vinyl record, the moment of inertia is influenced by the mass distribution around its rotational axis.

Assuming the vinyl record has a uniform thickness and the same material composition, its moment of inertia can be calculated using the formula for a solid disk:

I = (1/4) × m × R²

For the original record:

I_original = (1/4) × m × (R_original)²

For the modified record:

I_modified = (1/4) × m × (R_modified)²

Since the modified record has half the diameter, the modified radius is half of the original radius:

R_modified = (1/2) × R_original

Substituting this value into the equation for the moment of inertia of the modified record:

I_modified = (1/4) × m × [(1/2) × R_original]²

= (1/4) × m × (1/4) × (R_original)²

= (1/16) × m × (R_original)²

Comparing the moment of inertia of the modified record to the moment of inertia of the original record:

I_modified / I_original = [(1/16) × m × (R_original)²] / [(1/4) × m × (R_original)²]

= (1/16) / (1/4)

= 1/4

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Answer:

Explanation:

The speed of a wave is a product of its wavelength and frequency

Wavelength is inversely proportional to frequency

Longer wavelength electromagnetic waves have lower frequencies, and shorter wavelength waves have higher frequencies.

The answer is shorter

Answer:

75.8

Explanation:

because just divide 1.27 into 0.75 and there's your answer

At that location in space, the electric potential is 8 v and 32 μJ.

In a field of objects, an object's position and proximity to other things determine its potential energy.

A point charge's electric potential is V=kQ/rV=kQ/r, or V = k Q / rV=kQ/r. The electric field is a vector, whereas the electric potential is a scalar. The voltage produced by a group of point charges can be calculated by adding voltages as integers, as opposed to the total electric field, which can be calculated by adding individual fields as vectors.

The potential will be set to zero at infinity.

However, V for a point charge decreases with distance while increasing with square of the distance. The electric potential V is a scalar with no direction, but the electric field E is a vector.

(84)=32 μJ is the electric energy.

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The complete range of light waves, organized by wavelength and frequency, is known as the electromagnetic spectrum. The electromagnetic spectrum encompasses all forms of electromagnetic radiation, ranging from the longest wavelengths to the shortest.

Starting from the longest wavelengths and lowest frequencies, we have radio waves, which are used for communication and broadcasting. As the wavelengths decrease and frequencies increase, we encounter microwaves, commonly used in cooking and telecommunications.

Continuing, we have visible light, which is the narrow range of wavelengths that can be detected by the human eye. It includes the colors of the rainbow from red (longest wavelength) to violet (shortest wavelength).

Beyond visible light, we encounter ultraviolet waves, X-rays, and gamma rays. Ultraviolet waves are responsible for sunburn and have applications in sterilization and fluorescent lighting.

X-rays are used in medical imaging, and gamma rays have the shortest wavelengths and highest frequencies, being emitted during nuclear reactions.

In summary, the electromagnetic spectrum consists of radio waves, microwaves, infrared waves, visible light, ultraviolet waves, X-rays, and gamma rays, organized in order of increasing frequency and decreasing wavelength.

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Answer: the coefficient of friction

Explanation:

The magnitude of frictional force is \(\mu\)N and the magnitude of the force is N. So if we take the ratio of it we will get  \(\mu\) In result.

The friction coefficient is the ratio of the normal force pressing two surfaces together to the frictional force preventing motion between them. Typically, the Greek letter is used to symbolize it, i.e., \(\mu\). In mathematical terms, is equal to F/N, where F represents frictional force and N represents normal force. Since both F and N are measured in units of force, the coefficient of friction is a dimensional less quantity (such as newtons or pounds).

For both static and kinetic friction, the coefficient of friction has a range of values. When an object experiences static friction, the frictional force resists any applied force, causing the object to stay at rest until the static frictional force is removed. In kinetic friction, the frictional force resists the motion of the object.

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Answer:

the strength of the electric field

The main sequence lifestyle of the these stars from the shortest to longest are:

Stars with higher masses burn through their fuel more quickly, resulting in shorter main-sequence lifetimes.

Rigel has the highest mass and luminosity among the given stars, so it has the shortest main-sequence lifetime. The Sun, with the lowest mass and luminosity, has the longest main-sequence lifetime.

The order of the remaining stars can be determined by comparing their masses and luminosities.

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(a) When the angular momentum is the same, the ratio of the rotational inertias (I_a/I_b) is 1:1.

(b) When the rotational kinetic energy is the same, the ratio of the rotational inertias (I_a/I_b) is equal to the ratio of the kinetic energies (K_a/K_b).

Let's denote the radius of wheel A as r_a and the radius of wheel B as r_b. According to the problem, r_b = 3r_a.

(a) When the two wheels have the same angular momentum about their central axes:

Angular momentum is given by the equation L = Iω, where L is the angular momentum, I is the rotational inertia, and ω is the angular velocity.

For wheel A: L_a = I_a * ω_a

For wheel B: L_b = I_b * ω_b

Since the belt connecting the wheels doesn't slip, the angular velocity of both wheels is the same: ω_a = ω_b = ω.

We are given that the angular momentum is the same for both wheels, so L_a = L_b.

I_a * ω = I_b * ω

Canceling ω from both sides of the equation, we get:

I_a = I_b

Therefore, the ratio of the rotational inertias (I_a/I_b) is 1:1 or simply 1.

(b) When the two wheels have the same rotational kinetic energy:

Rotational kinetic energy is given by the equation K = (1/2) * I * ω^2.

For wheel A: K_a = (1/2) * I_a * ω_a^2

For wheel B: K_b = (1/2) * I_b * ω_b^2

We want to find the ratio of the rotational inertias, so let's rewrite the equation for kinetic energy:

K_a/K_b = (1/2) * I_a * ω_a^2 / (1/2) * I_b * ω_b^2

Canceling out the common factors, we have:

K_a/K_b = (I_a * ω_a^2) / (I_b * ω_b^2)

Since ω_a = ω_b = ω (as the angular velocity is the same for both wheels), we can simplify further:

K_a/K_b = (I_a * ω^2) / (I_b * ω^2)

Again, canceling out ω^2, we get:

K_a/K_b = I_a / I_b

Therefore, the ratio of the rotational inertias (I_a/I_b) is equal to the ratio of the kinetic energies (K_a/K_b).

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The bullet takes 0.0025 seconds to pass through the wooden plank of 5 cm thickness when it is traveling horizontally with an initial speed of 30 m/s and a final speed of 10 m/s.

The time taken by the bullet to pass through the wooden plank can be determined using the equation of motion for constant acceleration.

Given:
Initial speed (u) = 30 m/s

Final speed (v) = 10 m/s

Distance (s) = 5 cm = 0.05 m

To find the time taken (t), we need to calculate the acceleration (a) first. We can use the equation:

v² = u² + 2as

Rearranging the equation, we have:

a = (v² - u²) / (2s)

Substituting the given values:

a = (10² - 30²) / (2 * 0.05)

Simplifying the expression:

a = (-800) / (0.1)

a = -8000 m/s²

The negative sign indicates that the acceleration is in the opposite direction of the initial velocity.

Next, we can use the equation of motion:

v = u + at

Substituting the values:

10 = 30 + (-8000) * t

Simplifying the equation:

-8000t = -20

Dividing by -8000:

t = 20 / 8000
t = 0.0025 s

Therefore, the time taken by the bullet to pass through the wooden plank of 5 cm thickness is 0.0025 seconds.


To find the time taken by the bullet to pass through the wooden plank, we need to calculate the acceleration first using the equation of motion.

By rearranging the equation and substituting the given values, we can find the acceleration.

Then, using the equation of motion again, we can solve for time.

The negative sign in the acceleration indicates that it is in the opposite direction of the initial velocity.

The resulting time is 0.0025 seconds.

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Answer:

Fnet = 16.98204316 N will point right

Explanation:

q₁ and q₂ both positive ⇒ F₁₂ will point right, repel

q₂ pos and q₃ neg        ⇒ F₂₃ will point right, attract

Fnet = F₁₂ + F₂₃

Fnet = k.q₁.q₂/r₁₂² + k.q₂.q₃/r₂₃²

Fnet = 9x10⁹x 9.33x10⁻⁶x4.22x10⁻⁶/(0.18)² +  9x10⁹x 4.22x10⁻⁶x8.42x10⁻⁶/(0.23)²

Fnet = 0.3543534/(0.18)² +  0.3197916/(0.23)²

Fnet = 10.93683333 + 6.04520983

Fnet = 16.98204316 N

Green is the option with the visible light wavelengths that have the highest frequency and energy.

Visible light, which the human eye can see, has wavelengths that range from about 780 nanometers down to 380 nanometers.

The visible light's wavelengths are:

380–450 nanometers for violet.

450–495 nanometers for blue

Green: 495 to 570 nm

570–590 nanometers for yellow

590–620 nanometers in orange

620–750 nanometers for red

Pure spectral colors, also known as rainbow colors or the R.O.Y.G.B.I.V., are those colors of light that correspond to narrow wavelength bands or monochromatic lights. Hence, the peak emission of sun perceived by human eye can be green since this color is part of visible light and spectral colors.

By the way, "ROYGBIV" stands for red, orange, yellow, green, blue, indigo, and violet, in case you didn't learn that in elementary school.

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Answer:

The force acting in x direction is 34.44 N

Explanation:

We have,

Force acting on the box is 65 N at an angle of 58 degrees to the horizontal the surface of frictional.

It is required to find the net force in x- direction.

The net force acting in the x- direction is given by :

\(F_x=F\cos\theta\\\\F_x=65\times \cos(58)\\\\F_x=34.44\ N\)

So, the force acting in x direction is 34.44 N.

B, C, E

Hope this helps

Answer: 7.51

Explanation: Acellus

The charges on each plate are acquired is 4.403×10⁻¹⁹ C if the two plates are separated by 2.42×10⁻⁵ m with an area of 8.22×10⁻⁴ m².

It is defined as the energy required in moving the unit's positive charge from one point to another. It is obtained from the ratio of the charge and distance. The unit of electric potential is Volt(V)

The electric potential between the parallel plates is obtained from the product of the Electric field and the distance of separation between the plates.

From the given,

Area of the plates, A = 8.22×10⁻⁴ m²

Distance of separation (d) = 2.42×10⁻⁵m

Voltage (V) = 25 V

Charge on the plates (Q) =?

The electric potential V = E/d, where E is the electric field and the unit of an electric field is N/C. d is the distance of separation of the plates. The electric field is the ratio of charge and area.

Electric field E = Q/ (A×ε), where A is the area of the parallel plates, and Q is the charge in the conductor. ε is permittivity in free space and is equal to 8.845×10⁻¹²C²/N.m².

The electric potential V = E/d

V = (Q/ (A×ε)) / d

  = Q / (A ×ε× d)

Q =  V×A×ε× d

   = 25×8.22×10⁻⁴×2.42×10⁻⁵×8.845×10⁻¹²

   = 4,403 × 10⁻²¹

   = 4.4 ×10⁻¹⁹C

The charge accumulated on the plates is 4.4 ×10⁻¹⁹C.

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Explanation:

Density=mass/volume

mass=x

10.49=X/12.99

X=10.49 X12.99

X=136.29657

mass=136.3g/cm^3

I hope it helped.

Answer:

Steel is almost 2.9 times heavier the aluminium.

The angular resolution for a telescope with a 9-meter primary mirror at 420 nm is approximately 0.0116 arcseconds.

The angular resolution at 420 nm for a telescope with a 9 meter primary mirror can be calculated using the formula:

angular resolution = 1.22 x wavelength / diameter

where wavelength is in meters and diameter is in meters.

Converting 420 nm to meters gives us 4.2 x 10^-7 meters.

Plugging in the values, we get:

angular resolution = 1.22 x (4.2 x 10^-7) / 9

Simplifying this expression gives us an angular resolution of:

0.00002682 radians (to 4 decimal places)

Angular resolution (in radians) = 1.22 * (wavelength / diameter)

Here, the wavelength (λ) is 420 nm (4.2 x 10^(-7) m) and the diameter (D) of the primary mirror is 9 meters. Plugging these values into the formula, we get:

Angular resolution (in radians) = 1.22 * (4.2 x 10^(-7) m / 9 m)

Angular resolution (in radians) = 5.644 x 10^(-8)

To convert the angular resolution to arcseconds, we can multiply by the conversion factor (206,265 arcseconds per radian):

Angular resolution (in arcseconds) = 5.644 x 10^(-8) radians * 206,265 arcseconds/radian

Angular resolution (in arcseconds) ≈ 0.0116

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Answer:

Ocean waves carry huge amounts of energy. The amount of energy can be measured in joules (J) of work, calories (c) of heat, or kilowatt-hours (kWh) of electricity (Table 4.8). The standard measurement of energy in science is the joule.

Explanation:

i think that's the ans but if u dn't want it,it's okay

Answer:

increases

Explanation:

edgu2020

Increasing the amount of current that flows through a wire increases the strength of an electromagnet.

An electromagnet is a type of magnet that is created by running an electrical current through a coil of wire. Unlike permanent magnets, which have a fixed magnetic field that cannot be adjusted, the magnetic field of an electromagnet can be turned on and off or adjusted by controlling the amount of current flowing through the coil.

The strength of an electromagnet depends on several factors, including the number of coils in the wire, the amount of current flowing through the wire, and the type of core material used in the coil. Electromagnets are widely used in various applications, such as in electric motors, generators, relays, MRI machines, and particle accelerators.

One of the advantages of electromagnets is that their magnetic field can be easily controlled by adjusting the amount of current flowing through the wire. This makes them useful in applications where the magnetic field needs to be turned on and off, or where a variable magnetic field is required.

Another advantage of electromagnets is that they can be designed to be much stronger than permanent magnets. This is because the strength of an electromagnet is directly proportional to the amount of current flowing through the coil, which can be increased or decreased as needed.

Here in this question,

This happens because an electromagnet is created when an electric current flows through a wire, generating a magnetic field around the wire. The strength of the magnetic field depends on the amount of current flowing through the wire.

When more current flows through the wire, the magnetic field around the wire becomes stronger. This is because the magnetic field is directly proportional to the current flowing through the wire, as well as the number of loops of wire in the coil.

Therefore, increasing the current flowing through a wire in an electromagnet will increase the strength of the magnetic field, resulting in a stronger electromagnet.

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Answer:

323.4N

Explanation:

Given parameters:

Mass of the box = 33kg

Unknown:

Normal force on the body  = ?

Solution:

The normal force of a body is the vertical force the body exerts on another body.

It is expressed as;

        Normal force  = mass x acceleration due to gravity

Acceleration due to gravity  = 9.8m/s²

Normal force  = 33 x 9.8  = 323.4N

Answer:

Sorry for being late. Hope this helps

Explanation: