Find the logarithmic derivative and then determine the percentage rate of change of the function f(t)=e0.3t2att=1

The luminosity of the star will increase by a factor of 125. Therefore, the correct answer is (D) increases by a factor of 280.

If L α M3.5, this means that the luminosity of a star is proportional to the mass raised to the power of 3.5.

If we increase the mass of the star by a factor of 5, the new mass will be 5M, and the luminosity will be:

L' = k(5M)3.5, where k is a constant of proportionality.

Expanding this expression, we get:

L' = k(5³ × M3.5)

L' = k(125 × M3.5)

L' = 125kM3.5

Thus, the luminosity of the star will increase by a factor of 125. Therefore, the correct answer is (D) increases by a factor of 280.

Learn more about the luminosity

https://brainly.com/question/31183368

#SPJ4

A) increases by a factor of 17.5

Solution - Hi! Based on the given relationship, L α M^3.5, if we increase M by a factor of 5, we need to calculate the new luminosity (L') using the formula:

L' α (5M)^3.5

To find the factor by which the luminosity increases, we can divide L' by the original L:

(L' / L) = ((5M)^3.5) / (M^3.5)

Since both expressions are proportional, we can focus on the numeric part:

Factor = 5^3.5 ≈ 17.5

So, the luminosity increases by a factor of 17.5, which corresponds to option A.

to learn more cases of luminosity, click on this -

brainly.com/question/30932189

#SPJ11

Answer:

this is a difficult question but I will try to answer it answer for this is 3220 a + b b u s y d l new

Answer:

555N

Explanation:

Force = mass × acceleration

F=150×3.7

F=555

Answer:Elas são ondas tridimensionais e transversais que viajam na velocidade da luz, transportando exclusivamente energia. Ademais, apresentam-se na forma de ondas de rádio, micro-ondas, infravermelho, luz visível, ultravioleta, raios x e raios gama, em ordem crescente de frequência e energia.

Explanation:

Answer:

\(\tau=5.81\times 10^5p\ N-m\)

Explanation:

We have,

Electric field, \(E=6.19\times 10^5\ N/C\)

The electric dipole vector at an angle of 69.9 degrees from the direction of the field.

The torque acting on a molecule is given by :

\(\tau=p\times E\\\\\tau=pE\sin\theta\)

p is electric dipole moment

\(\tau=p\times 6.19\times 10^{5}\times \sin (69.9)\\\\\tau=5.81\times 10^5p\ N-m\)

So, the magnitude of the torque acting on the molecule is \(5.81\times 10^5p\ N-m\).

Answer:

D by plane

Explanation:

by car is 64 h is not less day the same for the truck and ship is very long

by train is impossible the train Srinagar-Kerala not exist

Is only possible by plane

Answer:

a c d the correct ....

Explanation:

...........

When played without using fingers, it produces the sound of the pitch a (440 Hz). You should shorten it to play the note c at a distance of 2.6 cm (523 Hz).

A sound pressure wave's frequency, also known as pitch, is the number of times it repeats itself every second.

Speed of wave propagation is directly proportional to the square root of the tension of the string and inversely proportional to the square root of linear density

\(\rm v = \sqrt{\frac{T}{u}}\)

Speed of the wave is the product of the frequency and the wavelength. The fundamental frequency wavelength is two times the string length.

f= 2L

V= f × λ

440×2×0.16 = 523×2L

L = 0.134 m

L = 13.4 cm

The string length for playing note C  will be 13.4 cm

The distance up to which hand is to be put so that the C note will play;

L=16- 13.4

L= 2.6 cm

Hence,at a distance  of  2.6 cm you should shorten it to play the note c (523 hz).

To learn more about the frequency of the sound, refer to the link https://brainly.com/question/1435829.

#SPJ1

A voltage drop of more than 0.2 volts between the TP sensor ground and engine ground indicates a bad ground connection.

When measuring voltage drop between the TP (throttle position) sensor ground and the engine ground, a reading of more than 0.2 volts suggests a faulty ground connection. In an electrical circuit, voltage drop occurs when current flows through a resistance. In this case, the resistance could be due to a poor or loose connection between the TP sensor ground and the engine ground.

A ground connection is essential for the proper functioning of electronic components in a vehicle. It provides a reference point for electrical currents to flow and allows for accurate signal readings. When there is a bad ground connection, the voltage intended for the TP sensor ground may be diverted or hindered, resulting in an increased voltage drop.

A voltage drop of more than 0.2 volts indicates a significant loss of voltage and suggests that the ground connection is not conducting electricity efficiently. This can lead to various issues such as erratic sensor readings, improper engine performance, or even electrical malfunctions in the vehicle.

To address this problem, it is crucial to inspect and ensure a secure and clean ground connection between the TP sensor ground and the engine ground. This may involve checking the wiring harness, connectors, and grounding points for any signs of damage, corrosion, or looseness. By establishing a solid ground connection, the voltage drop can be minimized, allowing for accurate sensor readings and reliable operation of the vehicle's electrical system.

Learn more about voltage drop

brainly.com/question/28164474

#SPJ11

Answer:

0.024

Explanation:

no expansivity ok but I can do it

linear expansivity=1.2*10^-5

=2a

=2*1.2*20^-5

=2.4*10^-5

∆A =?

A1 =20

2.4*10^-5 =∆A/A1(100-50)

∆A =2.4*10^-5*1000

=0.024

Answer:

50% are attributed to aggressive driving

The percentage of the almost 1,500 highway deaths in Pennsylvania each year attributed to aggressive driving will be 50%.

Aggressive driving is defined as any behind-the-wheel activity that, without regard for safety, puts another person (or people) and/or property in danger.

Aggressive driving can vary from potentially dangerous conduct to serious assault.

From the data obtained the percentage of the almost 1,500 highway deaths in Pennsylvania each year attributed to aggressive driving will be 50%.

Hence option A is correct.

To learn more about the aggressive driving refer to the link;

https://brainly.com/question/11601523

The potential difference when a charge goes from 10m to 16m is approximately -1.6875 x \(10^9\) V. The negative sign indicates a decrease in potential as the charge moves farther away from the uniformly charged shell.

To calculate the potential difference between two points, we can use the formula:

V = k * (Q / r)

V is the potential difference

k is the electrostatic constant (k = 9 x \(10^9 N m^2/C^2\))

Q is the charge

r is the distance

In this case, the charge (Q) is 5C and the distances (r) are 10m and 16m.

First, let's calculate the potential at the initial point (10m):

V_initial = k * (Q / r_initial)

V_initial = (9 x \(10^9 N m^2/C^2\)) * (5C / 10m)

V_initial = 4.5 x \(10^9\) V

Next, let's calculate the potential at the final point (16m):

V_final = k * (Q / r_final)

V_final = (9 x \(10^9 N m^2/C^2)\) * (5C / 16m)

V_final = 2.8125 x\(10^9\) V

Finally, we can calculate the potential difference (ΔV) between the two points:

ΔV = V_final - V_initial

ΔV = 2.8125 x \(10^9\) V - 4.5 x\(10^9\) V

ΔV = -1.6875 x \(10^9\) V

To know more about electrostatic refer to-

https://brainly.com/question/16489391

#SPJ11

To determine the number of storage bits required in the controller memory for the twisting joint (type T) of the industrial robot, we need to calculate the repeatability, round the deviations to a reasonable precision, and then calculate the number of addressable positions based on the range of the joint and the chosen accuracy level.

First, let's calculate the repeatability of the joint. Given that the range of rotation is 322°, the repeatability can be calculated as 6 times the standard deviation. Since the standard deviation is a measure of how spread out the data is, multiplying it by 6 ensures that the accuracy of the joint is as close as possible to, but less than, its repeatability.
Next, let's analyze the given data. The 10 samples of deviations from the commanded angles are: 0.176, 0.04, -0.345, 0.079, 0.309, -0.004, -0.102, 0.12, 0.075, and 0.1.
To calculate the standard deviation of these deviations, we need to find the mean and then calculate the differences from the mean. Squaring these differences and taking the average will give us the variance, which we can then take the square root of to obtain the standard deviation.

After calculating the standard deviation, we multiply it by 6 to obtain the repeatability.
Now, to determine the number of storage bits required, we need to consider the accuracy of the joint. The accuracy depends on the precision required for representing the deviations. Assuming a reasonable level of precision, we can round the deviations to, for example, 3 decimal places.
Finally, the number of storage bits required in the controller memory can be calculated by multiplying the range of the joint (322°) by the accuracy (e.g., 0.001°, considering 3 decimal places). This will give us the number of addressable positions, which can be represented by the required number of storage bits.

Learn more about storage here:

https://brainly.com/question/24227720

#SPJ11

it is true that celestial bodies are floating in space, but the concept of geocentrism is not considered correct. Geocentrism is the idea that the Earth is at the center of the universe and all other celestial bodies.

revolve around it. This idea was disproven by scientific observations and experiments, such as those conducted by Galileo Galilei and Johannes Kepler. Choosing any celestial body as a reference point is possible, but it would not change the fact that the Earth is not at the center of the universe. In fact, the use of a heliocentric model, where the Sun is at the center of the solar system, is the widely accepted model in modern astronomy.
In summary, while celestial bodies can be used as reference points, geocentrism is not a correct understanding of the universe.
Hi! While it is true that celestial bodies, including Earth, are floating in space and any point could be used as a reference, geocentrism specifically refers to the idea that Earth is at the center of the universe with all other celestial bodies revolving around it. This concept has been disproven by astronomical observations, which led to the development of the heliocentric model, placing the Sun at the center of our solar system. So, while any celestial body could be used as a reference point, geocentrism as a model for the universe's structure is not considered correct.

Learn more about celestial bodies here:

https://brainly.com/question/28876984

#SPJ11

Answer: option (c)

Explanation:

Product development is also known as new product operation.

The main ideal is to satisfy the consumer demand.

There are some stages of product development process. They're idea generation, webbing, conception development and testing, request strategy, developing the new product, request testing, request commercialization.

The process of developing a product is managed by product inventor.

Product development can be done in two ways, the new product is introduced or the being products can be bettered according to the client satisfaction.

To know more about

https://brainly.com/question/28013469

Answer:

Ekaryote cells

an organism consisting of a cell or cells in which the genetic material is DNA in the form of chromosomes contained within a distinct nucleus. Eukaryotes include all living organisms other than the eubacteria and archaea.

prokaryote cells

microscopic single-celled organism which has neither a distinct nucleus with a membrane nor other specialized organelles, including the bacteria and cyanobacteria

Answer:

the same as the initial launch velocity (7.59 m/s)

Explanation:

vf^2 = vi^2 + 2ad

d = displacement = 0, so vf^2 = vi^2, so vf = vi = 7.59m/s

The friction force will be ZERO. because friction force act only on relative motion. but here is no motion.

In physics, pressure is an influence that may exchange the motion of an item. A force can purpose an object with mass to alternate its velocity (e.g. moving from a nation of relaxation), i.e., to boost up.  its miles are measured inside the SI unit of newton (N). force is represented with the aid of the symbol F (formerly P).

The unique form of Newton's 2d regulation states that the net pressure appearing upon an object is identical to the fee at which its momentum modifications with time. If the mass of the item is steady, this regulation implies that the acceleration of an item is immediately proportional to the internet force appearing on the object, is within the direction of the internet force, and is inversely proportional to the mass of the object.

To learn more about Force visit here:

brainly.com/question/13191643

#SPJ4

Answer:

Topaz

Explanation:

It's harder than garnet and comes in various colors

Answer:

garnet

Explanation:

A. the change in volume of the cube is approximately 0.120601 cm^3. B. the average rate of change of volume of the cube with respect to an edge length is approximately 12.0601 cm^3/cm. C. the equation of the line that passes through the point (1, 5) and is parallel to the tangent line to f(x) = 1/x at x = 3 is y = (-1/9)x + 14/9.

(a) To find the change in volume of the cube as x increases from 2.00 to 2.01 centimeters, we need to calculate the difference in volume between these two values.

The volume of a cube is given by V = x^3, where x is the edge length.

For x = 2.00 cm, the volume V1 = (2.00 cm)^3 = 8.00 cm^3.

For x = 2.01 cm, the volume V2 = (2.01 cm)^3 = 8.120601 cm^3.

The change in volume is ΔV = V2 - V1 = 8.120601 cm^3 - 8.00 cm^3 ≈ 0.120601 cm^3.

Therefore, the change in volume of the cube is approximately 0.120601 cm^3.

(b) The average rate of change of volume of the cube with respect to an edge length as x increases from 2.00 to 2.01 centimeters can be calculated by dividing the change in volume by the change in edge length.

ΔV = 0.120601 cm^3 (from part a)

Δx = 2.01 cm - 2.00 cm = 0.01 cm

The average rate of change of volume is ΔV/Δx = 0.120601 cm^3 / 0.01 cm ≈ 12.0601 cm^3/cm.

Therefore, the average rate of change of volume of the cube with respect to an edge length is approximately 12.0601 cm^3/cm.

(c) The instantaneous rate of change of volume of the cube with respect to an edge length at the instant when x = 2 centimeters can be found by taking the derivative of the volume function V = x^3 with respect to x and evaluating it at x = 2.

dV/dx = 3x^2

At x = 2 cm, the instantaneous rate of change of volume is dV/dx evaluated at x = 2:

dV/dx = 3(2 cm)^2 = 12 cm^2.

Therefore, the instantaneous rate of change of volume of the cube with respect to an edge length at x = 2 centimeters is 12 cm^2.

To find the equation of the line that passes through the point (1, 5) and is parallel to the tangent line to f(x) = 1/x at x = 3, we need to determine the slope of the tangent line.

The derivative of f(x) = 1/x is given by f'(x) = -1/x^2.

At x = 3, the slope of the tangent line is f'(3) = -1/(3^2) = -1/9.

Since the line we want to find is parallel to the tangent line, it will have the same slope. So the slope of the line is -1/9.

Using the point-slope form of a linear equation, we can write the equation of the line as:

y - y1 = m(x - x1),

where (x1, y1) is the given point (1, 5) and m is the slope.

Substituting the values, we have:

y - 5 = (-1/9)(x - 1).

Expanding and rearranging the equation, we get:

y = (-1/9)x + 14/9.

Therefore, the equation of the line that passes through the point (1, 5) and is parallel to the tangent line to f(x) = 1/x at x = 3 is y = (-1/9)x + 14/9.

To learn more about volume

https://brainly.com/question/14197390

#SPJ11

Answer:

its c

Explanation:

Answer:

Explanation:

Allison can measure the mass of the rock by using a scale. An electronic beam balance will be able to give her the mass of the rock to a fairly accurate degree.

To go about measuring the volume of the rock, an indirect approach has to be adopted since the rock is not regular in shape.  Allison would have to adopt a principle that explains that the volume a solid body displaces when immersed in a pool of liquid, is directly equal to the volume of the solid itself.

This means that if the stone is placed in a beaker of water containing an already measured volume of water, the increase in the volume of the water when the stone is immersed is equivalent to the volume of the stone.

A force is changing the motion of the bus.

Newton's first law of motion states that an object at rest or uniform motion in a straight line will continue in that form unless acted upon by an external force.

The applied force on the bus in the form of brakes acts as the external force on the bus.

According to Newton's first law of motion, the external force (brakes) will change the motion of the bus.

Thus, we can conclude that a force is changing the motion of the bus.

Learn more about Newton's first law of motion here: https://brainly.com/question/24922261

If the body temperature was 10°C, the approximate time of death would be between 12 and 36 hours, depending on the surroundings and other variables.

However, it's crucial to note that the time of death can be influenced by several factors like the environment, clothing, and the person's physical state. The time of death can also be estimated by measuring the body temperature, also known as algor mortis.

After death, the body temperature decreases at a rate of roughly 1.5°C per hour, though this might change depending on the surroundings and other variables. It is impossible to pinpoint the exact time of death if the body temperature was 10°C, although it may indicate that death happened several hours earlier because the body temperature will continue to drop after death.

However, other techniques, like lividity, rigor mortis, and inspection of the stomach contents, are more accurate, hence it is not advised to utilize this method alone to establish the time of death. For a more precise estimation of the time of death, a forensic specialist should be consulted.

Learn more about time of death here:

https://brainly.com/question/16390042

#SPJ1

The newtons of gravitational force downward does this child produce is (Z * 0.453592) * 9.81 Newtons.

To find the gravitational force downward produced by a child, you need to use the formula;

F = m * g

Where F is the gravitational force, m is the mass of the object, and g is the acceleration due to gravity (which is 9.81 m/s²).

The child weighs Z pounds, to find its mass, you'll need to convert pounds to kilograms.1 pound is equal to 0.453592 kilograms, so:mass = Z * 0.453592 kg The gravitational force produced by the child is therefore:

F = mass * g

Substituting mass and g into the formula:

F = (Z * 0.453592) * 9.81 Newtons

Hence, the newtons of gravitational force downward does this child produce is (Z * 0.453592) * 9.81 Newtons.

Learn more about gravitational force https://brainly.com/question/27943482

#SPJ11

Explanation:

the answerer is visible

Genetic material is known to absorb UV light. Given what we know, we can confirm that genetic material is not known to absorb light originating from an infrared or microwave radio source.

Genetic material is the hereditary substance in the cell. It carries all information specific to an organism. It is known as DNA (deoxyribonucleic acid) or RNA (ribonucleic acid)

UV light is electromagnetic radiation, and the primary source of UV light that we are exposed to is the sun.

Therefore, given that the only form of light listed that genetic material is known to absorb is that of Ultraviolet or UV light, we can confirm that the answer to the question proposed is infrared and microwave radio light.

To learn more about UV light visit:

brainly.com/question/13695751

The expression for the energy stored (E) in a stretched wire of original length (L), cross-sectional area (A), tension (T), and Young's modulus (Y) is given by E = Y * e * ln(L) * A

The work done to stretch the wire can be calculated by integrating the force applied over the displacement. In this case, the force applied is the tension (T) in the wire, and the displacement is the change in length (ΔL) from the original length (L) to the stretched length (L + ΔL).

The tension in the wire is given by Hooke's law, which states that the tension is proportional to the extension of the wire:

T = Y * (ΔL / L)

where Y is the Young's modulus of the material of the wire.

Now, let's calculate the work done to stretch the wire:

dW = T * dL

Integrating this expression from L to L + ΔL:

W = ∫ T * dL = ∫ Y * (ΔL / L) * dL

W = Y * ΔL * ∫ (dL / L)

W = Y * ΔL * ln(L) + C

Here, C is the constant of integration. Since the energy stored in the wire is zero when it is unstretched (ΔL = 0), we can set C = 0.

Finally, the expression for the energy stored in the wire (E) is:

E = W = Y * ΔL * ln(L)

or, if we substitute the cross-sectional area (A) and strain (e) of the wire, where e = ΔL / L:

E = Y * e * ln(L) * A

Thus, the expression for the energy stored (E) in a stretched wire of original length (L), cross-sectional area (A), tension (T), and Young's modulus (Y) is given by:

E = Y * e * ln(L) * A

Learn more about energy on

https://brainly.com/question/13881533

#SPJ1

The object does not fall or it takes no time to fall according to the given information.

To determine how long it takes for the object to fall, we need to find the time at which the distance traveled (s) becomes zero. This represents the point at which the object hits the ground.

Given: s = 6t + 16t^2

To find the time at which s becomes zero, we set the equation equal to zero and solve for t:

0 = 6t + 16t^2

This equation is a quadratic equation in terms of t. To solve it, we can factor out a common factor of t:

0 = t(6 + 16t)

Setting each factor equal to zero, we have:

t = 0 (from the factor t = 0)

or

6 + 16t = 0 (from the factor 6 + 16t = 0)

Solving the second equation for t:

16t = -6

t = -6/16

t = -3/8

We discard the negative solution since time cannot be negative in this context.

Therefore, the object takes t = -3/8 seconds to fall. However, this negative value doesn't make physical sense in this context. Therefore, we can conclude that the object does not fall or it takes no time to fall according to the given information.

Learn more about distance traveled;

https://brainly.com/question/2854969

#SPJ4