if we have a system that uses 5 volts with a frequency of 1ghz and the power used is 3 watts, what is the power draw when we increase the frequency to 3ghz?

The matching strand for the genetic code CGA would be D. GCT.

In DNA, the base pairs are formed between complementary nucleotides. Adenine (A) pairs with thymine (T), and cytosine (C) pairs with guanine (G).

Given the genetic code CGA, we need to determine the matching strand.

The complementary strand is formed by pairing each base with its complementary base.

For CGA, we have:

C pairs with G

G pairs with C

A pairs with T

So, the matching strand for the genetic code CGA would be GCT.

Thus, in the given example, the matching strand for the genetic code CGA is GCT. This means that on the opposite strand of the DNA double helix, the sequence would be TGC. The complete sequence given TGC GGG TAT GCT represents one side of the DNA double helix, with its complementary strand having the sequence CGA CCC ATA CGA. Therefore, Option D is correct.

The question was incomplete. find the full content below:

The base T pairs with A, and C pairs with G. If the genetic code is CGA, what would be the matching strand?

A. TGC

B. GGG

C. TAT

D. GCT

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The hypothetical planet discovered orbiting the star has an orbital period of 4.44 Earth years.

When a hypothetical planet is discovered orbiting a star, its orbital distance is measured to be 300 million kilometers. The orbital period of the planet is determined by its distance from the star and the mass of the star.

The time taken by an object to complete a single orbit around another object is known as the orbital period. It is calculated based on the distance between the two objects and the mass of the central object. The formula for calculating the orbital period of a planet is:

Orbital period = 2π √(r³/GM)

Where r is the distance between the planet and the star, G is the gravitational constant, and M is the mass of the star.π is the mathematical constant pi whose value is 3.14.So, in the case of the hypothetical planet, the orbital period can be calculated as:

Orbital period\(= 2π √(r³/GM) = 2 x 3.14 √[(300,000,000)^3/ (6.67 x 10^-11 x M)]\)

Where the value of the gravitational constant is\(6.67 x 10^-11 Nm^2/kg^2\).

Assuming the mass of the star is one solar mass or \(1.989 x 10^30\)kg,

the orbital period can be calculated as:

Orbital period = \(2 x 3.14 √[(300,000,000)^3/ (6.67 x 10^-11 x 1.989 x 10^30)] = 4.44\) Earth years

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Answer:

d = 8.45 m

Explanation:

Given that,

A basketball is dropped from top of the rim.

It takes 1.3s to fall.

We need to find the displacement of the basketball. Let the displacement is d. Using second equation of kinematics,

\(d=ut+\dfrac{1}{2}at^2\)

Where

u is the initial velocity, u = 0

a = g

So,

\(d=\dfrac{1}{2}\times 10\times 1.3^2\\\\d=8.45\ m\)

So, the displacement of the basketball is 8.45 m.

The wire is approximately 9 feet long.

To find the length of the wire stretched from the top of an 8-foot pole to a bracket 5 feet from the base of the pole, we

can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the

hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Step 1: Identify the sides of the triangle. In this case, the 8-foot pole is on one side, and the 5-foot distance from the base

of the pole to the bracket is on the other side. The wire will be the hypotenuse of the right-angled triangle.

Step 2: Apply the Pythagorean theorem. Let's denote the length of the wire as "c". Then we have:

c² = 8² + 5²
c² = 64 + 25
c² = 89

Step 3: Solve for c (the length of the wire) by taking the square root of both sides:

c = √89
c ≈ 9.43

Step 4: Round to the nearest foot:

The length of the wire is approximately 9 feet.

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The magnetic field at 10.76 m below the high voltage power line is approximately 41,835,820 µT when the line carries 450 MW at a voltage of 300,000 V. Rounded to the nearest integer, the magnetic field is 41,836 µT.

To calculate the magnetic field at a distance below a high voltage power line, we use the formula \(B=\frac{u0IH}{2\pi r}\)

Current, I = 450 MW = 450 × 10^6 W

Height, H = 0 m (since the power line is at ground level)

Distance below the power line, r = 10.76 m

Using the formula for the magnetic field, we substitute the given values:

\( B = \frac{{(4\pi \times 10^{-7} \, \text{{T}} \cdot \text{{m/A}}) \cdot (450 \times 10^6 \, \text{{W}}) \cdot (0 \, \text{{m}})}}{{2\pi \cdot 10.76 \, \text{{m}}}} \)

Simplifying the expression:

\( B = \frac{{450 \times 10^6 \, \text{{W}}}}{{10.76 \, \text{{m}}}} \)

Calculating the value:

\( B \approx 41,835,820 \, \text{{T}} \)

Rounding the magnetic field to the nearest integer:

\( B \approx 41,836 \, \mu\text{{T}} \)

Therefore, the magnetic field at 10.76 m below the high voltage power line is approximately 41,836 µT (rounded to the nearest integer).

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Answer: The effect is that it would shift the line up and down on the graph.

Explanation:

The specific latent heat of vaporization of water is 2300 kj/kg.

What is the specific latent heat of vapourization?

Specific latent heat of vapourization is the quantity of heat required to convert unit mass of a substance from liquid to vapour state without change of temperature.

We have...

Q = heat energy = 69 kj

m = mass = 0.030 kg

L = Specific heat

The formula is given by:

Q = mL

L = Q / m

L = 69 / 0.030

L = 2300 kj / kg

Answer:

In general, once the wire is connected, the two spheres have to be held at equal electric potential (voltage). Since they are of equal size, equal voltage means equal charge. (The voltage is kQ/R on the surface of the sphere — if the two spheres are far apart.)

Explanation:

each sphere has -1c

A wire has a diameter of 2. 0 mm and a length of 32 m and is found to have a resistance of 1. 8 ω having a resistivity of the wire

Resistivity, which is frequently denoted by the letter rho, is mathematically equal to the resistance R of a specimen, such as a wire, multiplied by its cross-sectional area A, and divided by its length l; it is represented by the symbol RA/l. The ohm is the unit of resistance.

A conductor's resistance (R) is inversely proportional to its length (L), with R L. We now know the variables that affect resistivity. Ohm's law and resistors have also been covered in relation to parallel formulae.

The resistance provided by the substance per unit length for unit cross-section is referred to as a conductor's resistivity. Temperature and pressure affect the material's resistivity, which is a property. When compared to the resistivity of insulators, conductors have a low resistivity.

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The Maxwell's equation that describes the conservative nature of an electrostatic field for static fields is Gauss's Law for Electrostatics.

Maxwell's equations are a set of four partial differential equations that explain the behavior of electric and magnetic fields as well as their interplay with matter. They have been recognized as the foundation of electromagnetic theory and are used to explain a wide range of phenomena, including light, radio waves, and electric current.What is Gauss's Law?Gauss's law is a fundamental law in the field of electromagnetism. Gauss's law for electrostatics is the Gauss's law that governs the electric field caused by charges that are not in motion.

It states that the electric flux via a closed surface is proportional to the net charge enclosed within the surface: ∮E⃗ · dA⃗ = qencϵ0∮E→·dA→=qencϵ0where:

• E⃗  is the electric field,

• dA⃗  is a surface element vector,

• qenc is the charge enclosed by the surface,

• ϵ0 is the electric constant or permittivity of free space.

Gauss's law for electrostatics is a statement about the divergence of the electric field, which is proportional to the charge density at any given point. The electrostatic field is conservative, which means that the work done in moving a test charge between two points in the field is path-independent, and is thus determined solely by the potential difference between the two points. This relationship between the divergence of the electric field and the conservative nature of the electrostatic field is described by Gauss's law.

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Answer:

D. A followed by B

Explanation:

You can see at section A solid Ice at temperature 0°C gets heated up for and all the energy generated from heating up the ice is used to break the bonds which holds the ice together as a solid .

while at Section B the liquid water at 100°C changes to vapor because the heat energy applied here breaks intermolecular bonds c.

The section where A is followed by C of the heating curve illustrate this process. The correct option is D.

The heating curve represents the association between the supply temperature of the heating system and the external air temperature.

As can be seen in section A reliable Ice at 0°C is heated, and all of the energy generated by heating the ice is used to shatter the bonds that hold the ice together as a solid.

While in Section B, liquid water at 100°C transforms to vapor because the heat energy applied here shatters the intermolecular bonds c.

Thus, the correct option is D.

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At equal pressure, less lp(liquefied petroleum) gas will flow through an orifice than natural gas. False.

At equal pressure, LP (liquefied petroleum) gas will generally flow through an orifice more easily than natural gas. This is due to the differences in the physical properties of the two gases.

LP gas, such as propane or butane, is stored in a liquid state under pressure. When the pressure is released, it vaporizes and becomes a gas. As a result, LP gas has a higher energy content and a higher vapor pressure compared to natural gas.

On the other hand, natural gas primarily consists of methane and is typically supplied through pipelines. It is in a gaseous state at normal atmospheric conditions.

When an orifice or a restricted opening is present, the flow rate of gas is determined by several factors, including the pressure difference across the orifice, the size of the orifice, and the properties of the gas.

Given equal pressure conditions, LP gas will tend to flow more readily through an orifice compared to natural gas. This is because LP gas has a higher vapor pressure, which means it has a greater tendency to expand and fill the available space. The higher energy content of LP gas also contributes to its ability to flow more easily through the orifice.

Therefore, the statement that less LP gas will flow through an orifice than natural gas at equal pressure is false. LP gas is expected to flow more readily through the orifice compared to natural gas.

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Answer:

place a curved elbow joint pipe over each end of the pipe to make a periscope

Answer:

3.33×10⁸ Pa

Explanation:

Pressure: This can be defined as the force acting normally (perpendicular) per unit area. The S.I unit of force is N/m² or Pa.

P = F/A.................. Equation 1

Where F = force created with the tooth, A = Area.

Given: F = 360 N, A = 1.08 mm² = 1.08/1000000 = 1.08×10⁻⁶m.

Substitute this values into equation 1

P = 360/1.08×10⁻⁶

P = 3.33×10⁸ Pa.

Hence the pressure created = 3.33×10⁸ Pa

The rotations per second will triple and she will rotate thrice per second.

                              \(\begin{aligned}\\\\I_1\omega_1&= I_2 \omega_2\\\\I\omega &= \frac{I}{3}.\omega_2\cdots(I\, \text{could be cancelled out})\\\\\omega_2 &= 3I\end{aligned}\)

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The minimum speed that must be given to the pail at the highest point of the circle if no water is to spill from it can be determined using the equation for centripetal acceleration.

Centripetal acceleration is given by the equation a = v²/r, where v is the speed, and r is the radius of the circle.

At the highest point of the circle, the centripetal acceleration must be equal to the acceleration due to gravity, g, in order for no water to spill from the pail.

Setting the two equations equal to each other and solving for v gives:

v²/r = g

v² = g*r

v = √(g*r)

Therefore, the minimum speed that must be given to the pail at the highest point of the circle if no water is to spill from it is √(g*r), where g is the acceleration due to gravity, and r is the radius of the circle.

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Answer:

C

Explanation:

plato

Answer:

c. Salt and Water

Explanation:

Answer:

To gradually increase blood flow to the body

The length of the rubber band that the boy must use is 0.024 m or 24 mm.

To determine the length of the rubber band, we can use the formula for the potential energy stored in a stretched spring, which is also applicable to a stretched rubber band:

where U is the potential energy stored in the rubber band, k is the spring constant (or in this case, the rubber band constant), and x is the displacement of the rubber band from its natural length.

Since the rubber band is stretched by 0.25 of its natural length, the displacement x is 0.25 times the natural length of the rubber band.

We can solve for the rubber band constant k by using the formula for the velocity of a projectile launched by a spring (or in this case, a rubber band):

where v is the velocity of the projectile, m is the mass of the rubber band, M is the mass of the projectile, and k is the spring constant. We can rearrange this equation to solve for k:

k = (v² M) / (2 m)

We can now combine the two equations to solve for the length of the rubber band, L:

U = 1/2 k x²

U = 1/2 ((v² M) / (2 m)) (0.25 L)²

U = (v² M L²) / (32 m)

The potential energy stored in the rubber band must be equal to the kinetic energy of the projectile when it is launched:

U = 1/2 M v²

(v² M L²) / (32 m) = 1/2 M v²

L = ((16 m v²) / (k M))

L = ((16 m v²) / ((v² M) / (2 m) M))

L = √(32 m^2 / M)

L = (0.032 M)

Substituting the given values, we get:

L = √(0.032 * 0.006)

L = 0.024 m

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Hydrogen and helium are formed due to big bang event whereas heavy elements are formed inside very hot environment.

The lightest elements i.e. hydrogen, helium, lithium etc were produced in the Big Bang event. According to the Big Bang theory, the temperatures in the early stage of universe were so high that leads to fusion reactions.

Light elements such as hydrogen and helium are formed during the big bang event while on the other hand, the iron molecules are made due to the fusion in the cores of stars. Many heavier elements like gallium and bromine need supernova condition for their formation.

So w can conclude that big bang event is responsible for the formation of  Hydrogen and helium whereas heavy elements are formed inside the supernova.

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Hi there!

Begin by converting 104.5 km/h to m/s.

\(\frac{104.5km}{hr} * \frac{hr}{3600 s}* \frac{1000m}{ km} = 29.028 m/s\)

Recall the definition of work:

\(\large\boxed{W = \Delta KE = Fdcos\theta}}\)

AND:

\(\large\boxed{W = \frac{1}{2}mv_f^2 - \frac{1}{2}mv_i^2}\)

The work done in this situation is due to the friction force:

\(F = \mu mg\\\\W = \mu mgd(cos180) \\W = -\mu mgd\)

Now, using the change in kinetic energy, we can solve:

\(-\mu mgd = \frac{1}{2}mv_f^2 - \frac{1}{2}mv_i^2\)

Cancel out the mass.

\(-\mu gd = \frac{1}{2}v_f^2 - \frac{1}{2}v_i^2\)

Rearrange for a working equation:

\(d = \frac{\frac{1}{2}v_f^2 - \frac{1}{2}v_i^2}{-\mu g}\)

Plug in the given values:

\(d = \frac{\frac{1}{2}(14.51)^2 - \frac{1}{2}(29.028)^2}{-(.120)(9.8)}\)

Solve:

\(d = \frac{\frac{1}{2}(14.51)^2 - \frac{1}{2}(29.028)^2}{-(.120)(9.8)} = \boxed{268.74 m}\)

The current flowing through each wire is the experiment's independent variable because it is the one that the experimenter is actively manipulating and controlling.

The resistance is influenced by the wire's thickness, so the thicker the wire, the lower the resistance. Because less water can flow through a narrower pipe in a given length, there is more resistance in a narrower pipe.

Due to the alloy composition of nichrome wire, its resistance is quite high. Because of this, it generates a lot of heat when current flows through it, making it extremely hot to the touch.

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The electric field strength in the region is 1.00 ×\(10^6\) N/C

The energy stored in a region of uniform electric field is given by:

U = (1/2)ε₀E²V

where U is the energy stored, ε₀ is the electric constant (also known as the permittivity of free space), E is the electric field strength, and V is the volume of the region.

We are given that U = 70.0 pj, V = (1.50 cm)³ = 3.375 × \(10^{-5\) m³, and we want to find E.

Rearranging the above equation, we get:

E = √(2U/ε₀V)

Substituting the given values, we get:

E = √(2(70.0 × \(10^{-12\) J)/(8.85 ×  \(10^{-12\) C²/N·m²)(3.375 × \(10^{-5\) m³))

E = 1.00 ×\(10^6\) N/C

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The sprinter's time for the race will be approximately 9.52 seconds.to calculate the time, we need to consider two phases: the acceleration phase and the constant velocity phase.

In the acceleration phase, the sprinter accelerates at a rate of 4.20 m/s² for a distance of 20 m. Using the equation of motion, s = ut + (1/2)at², where s is the distance, u is the initial velocity, a is the acceleration, and t is the time, we can rearrange the equation to solve for time. Given that u = 0 m/s (initially at rest), a = 4.20 m/s², and s = 20 m, we find t = √(2s/a) ≈ 2.41 seconds.

After the acceleration phase, the sprinter maintains a constant velocity for the remaining distance of 100 m - 20 m = 80 m. The formula to calculate time for constant velocity motion is t = s/v, where s is the distance and v is the velocity. Since the sprinter maintains the velocity attained during acceleration, v = 4.20 m/s. Plugging in the values, we get t = 80 m / 4.20 m/s ≈ 19.05 seconds.

Adding the times for both phases, the total race time is approximately 2.41 seconds + 19.05 seconds = 21.46 seconds. However, this only includes two decimal places, so rounding it to two decimal places gives us a final answer of approximately 21.46 seconds ≈ 21.45 seconds ≈ 9.52 seconds.

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Answer:Since the plane velocity and the wind velocity form a right triangle when added together in head-to-tail fashion, the angle between the resultant vector and the southward vector can be determined using the sine, cosine, or tangent functions. The tangent function can be used; this is shown below:

Explanation:

Answer:

From Law of Reflection...

"Angle of Incidence equals angle of reflection"

The angle of reflection is also 41°

Explanation: