A cheetah can run at a maximum speed 95.2 km/h and a gazelle can run at a maximum speed of 79.9 km/h. If both animals are running at full speed, with the gazelle 53.1 m ahead, how long before the cheetah catches its prey? Answer in units of s. (Part 1)

The cheetah can maintain its maximum speed for only 7.5 s.
What is the minimum distance the gazelle must be ahead of the cheetah to have a chance of escape? (After 7.5 s the speed of cheetah is less than that of the gazelle.)
Answer in units of m. (Part 2)

Answer:

d

Explanation:

Answer:

Earth absorbs heat from the sun.

Explanation:

This radiation is absorbed by greenhouse gases which then radiate energy into all directions including downwards and thereby trapping heat in the atmosphere.

Hope you have a good day :)

the frequency of each wavelength of electromagnetic radiation is

A)frequency of wavelength 632.8nm(red light from helium–neon laser)

is 4.738×10¹⁴ s⁻¹

B)frequency of wavelength 503 nm (maximum solar radiation)

is5.960×10¹⁴ s⁻¹

C)frequency of wavelength 0.052nm (medical x-rays)

is5.765×10¹⁸s⁻¹

A)

632.8 nm (wavelength of red light from helium–neon laser)

1 nm = 10⁻⁹ m

632.8 nm = 632.8×10⁻⁹ m = 6.328×10⁻⁷ m

The speed of light is c = 2.998×10⁸ m/s

λ = 6.328×10⁻⁷ m

the frequency can be calculated as

ƒ = c / λ

ƒ = (2.998×10⁸m/s) / (6.328×10⁻⁷ m)

ƒ = 4.738×10¹⁴ s⁻¹

frequency of wavelength 632.8nm is 4.738×10¹⁴ s⁻¹

B)

503 nm (wavelength of maximum solar radiation)

1 nm = 10⁻⁹ m

503 nm = 503×10⁻⁹m = 5.03×10⁻⁷ m

c = 2.998×10⁸ m/s

λ = 5.03×10⁻⁷ m

the frequency can be calculated as;

ƒ = c / λ

ƒ = (2.998×10⁸ m/s) / (5.03×10⁻⁷m)

ƒ = 5.960×10¹⁴ s⁻¹

frequency of wavelength 503 nm is5.960×10¹⁴ s⁻¹

C)

0.052 nm (wavelength contained in medical x-rays)

1 nm = 10⁻⁹ m

0.0520 nm = 0.0520×10⁻⁹ m = 5.20×10⁻¹¹m

Where the speed of light is

c = 2.998×10⁸ m/s

λ = 5.20×10⁻¹¹ m

the frequency can be calculated as

ƒ = c / λ

ƒ = (2.998×10⁸ m/s) / (5.20×10⁻¹¹ m)

ƒ = 5.765×10¹⁸s⁻¹

frequency of wavelength 0.052nm is5.765×10¹⁸s⁻¹

A)frequency of wavelength 632.8nm(red light from helium–neon laser)

is 4.738×10¹⁴ s⁻¹

B)frequency of wavelength 503 nm (maximum solar radiation)

is5.960×10¹⁴ s⁻¹

C)frequency of wavelength 0.052nm (medical x-rays)

is5.765×10¹⁸s⁻¹

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The work that must be done to compress the spring by 6 cm is 0.3528 J.

To determine the work that must be done to compress the spring by 6 cm:

\(U = (1/2)kx^{2}\)

where U is the potential energy, k is the spring constant, and x is the displacement from the equilibrium position :

\(F = kx\)

where F is the force exerted by the spring and x is the displacement from the equilibrium position:

\(F = mg = 2 kg * 9.8 m/s^{2} = 19.6 N\)

\(k = F/x = 19.6 N / 0.1 m = 196 N/m\)

Now, to find the work required to compress the spring by 6 cm (or 0.06 m), we can use the potential energy formula :

\(U = (1/2)kx^2 = (1/2)(196 N/m)(-0.06 m)^{2} = 0.3528 J\)

Therefore, the work that must be done to compress the spring by 6 cm is 0.3528 J.

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Answer:

Natural gas was the largest source—about 40%—of U.S. electricity generation in 2020

Explanation:

ANSWER

EXPLANATION

The speed of a wave is given by the formula:

where λ = wavelength

f = frequency

Hence, the wavelength of the wave is:

Therefore, the wavelength of the sound wave is:

The answer is option B.

Calculate crustal thickness around the South Pole-Aitken (SPA) basin by applying the principle of isostasy, assuming the basin excavated all the way to the mantle, with given densities of 2800 kg/m3 for the crust and 3400 kg/m3 for the mantle, and discuss the reliability of this estimate.

The principle of isostasy states that the Earth's crust will reach a state of equilibrium when it floats on the denser mantle below. In the case of the SPA impact basin, the thickness of the crust surrounding the basin can be computed by determining the amount of crust that would be required to balance the load of the impact basin.

Assuming that the impact excavated all the way to the mantle, the crustal thickness can be calculated as the depth of the basin plus the amount of crust required to balance the load. Using the given densities of 2800 kg/m3 for the crust and 3400 kg/m3 for the mantle, the crustal thickness is estimated to be around 35 km.

However, this estimate may not be entirely reliable as it assumes that the impact basin is in perfect isostatic equilibrium, which may not be the case. Additionally, there may be variations in crustal density and thickness in the region surrounding the basin that could affect the estimate. Therefore, further analysis and data would be needed to obtain a more accurate measurement of the crustal thickness.

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Answer:

inference

Explanation:

inference is when u observe something and make ur own conclusion off of it so it may not be entirely accurate

Answer:

64q

Explanation:

Note that

Here

Capacitance C and potential V is given

We know

So charge is also same

Now

there are 64 drops so 64q charge

Remaining at rest is not an example of acceleration.  Acceleration is  

defined as the rate in which the velocity of a body changes with time.

Acceleration could either be

While remaining at rest there is no change in velocity of the body. This is

why it is the most appropriate choice.

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The answer you are looking for is approximately 9.4 m/s.

Solution/Explanation:

First, writing out the formula for the speed of an object, encompassing distance and time, in meters per second, or m/s,

S=D/T.

"S" stands for "Speed."

"D" stands for "Distance."

"T" stands for "Time."

Speed (S)=????

Distance (D)=100m.

Time (T)=10.6s.

Substituting the given values of the variables,

S=100m/10.6s.

100÷10.6=9.43396226415≈9.4.

So, therefore, the final answer is approximately 9.4 m/s.

I hope that this has helped answer your question. Good day to you.

The level of sound in the quiet room is 20db and the intensity of sound in the busy street is \(l_{2} = 10^-^5 W\cdot m^-^2\)

Note, β = 10log(I/I₀)

Lets find level of sound in the quiet room given:

I =        10⁻¹⁰ W·m⁻²

I₀ = 1 × 10⁻¹² W·m⁻²

\(\beta = 10log[(10^-^1^0/(1 * 10^-^1^2)] = 10log(10^2) = 10 * 2 = 20 dB\)

Sound level in the quiet room is 20db

Lets find the intensity of sound in the busy street given:

β(street) - β(room) = 50 dB

Let us denote the intensity level equation

\(\beta = 10logI - 10 logl_{0}\)

Let A = the room and B = the road. Then,

(A) β₂ = 10logI₂ - 10logI₀

(B) β₁ = 10logI₁ - 10log I₀

Lets subtract (B) from (A)

\(\beta_{2} - \beta_{1} = 10logl_{2} - 10logl_{1}\)

\(50 = 10logl_{2} - 10log(10^-^1^0)\)

Lets divide each side by 10

\(5 = logl_{2} - log(10^-^1^0)\)

\(5 = logl_{2} - (-10)\)

\(5 = logl_{2} + 10\)

Lets subtract 10 from each side:

\(-5 = logl_{2}\)

Collect antilog of each side:

\(l_{2} = 10^-^5 W\cdot m^-^2\)

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Answer: Probably 0.33km/hr south is the net velocity

Explanation:

Speed= Distance/ Time

Speed in North = 5km/3hrs=1.67km/hr

Speed in South= 2/1hrs=2.00km/hr

Since north and south are in opposite directions, and taking north as the +ve y, we get 1.67-2.00= -0.33km/hr, (-ve represents south direction).

Answer: The option that cannot be addressed through scientific methods is the best rock band of all time.

Explanation: scientific methods are powerful tools for understanding the natural world, but they have limitations. One of these limitations is that they cannot address subjective matters, value judgments, and personal preferences. These are areas where individual opinions and preferences play a significant role, and scientific methods are not designed to provide definitive answers in such cases.

For example, determining the freezing point of ethanol, the mass of Mars, and the energy needed to melt a 100 kilogram block of ice are all questions that can be addressed through scientific methods. These questions involve measurable quantities and can be investigated through observation, experimentation, and data analysis.

However, when it comes to identifying the best rock band of all time, personal preferences and opinions come into play. Different people may have different criteria for what makes a band the best, and these criteria are subjective and not easily quantifiable. Scientific methods cannot provide a definitive answer to this question because it is a matter of personal preference.

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The best rock band of all time cannot be addressed through scientific methods.

While scientific methods can be used to investigate and answer questions related to the freezing point of ethanol, the mass of Mars, and the energy needed to melt a 100 kilogram block of ice, determining the best rock band of all time is a subjective matter that falls within the realm of personal preference and opinion. It is not a question that can be objectively addressed or answered using scientific methods.

Scientific methods rely on observation, experimentation, and empirical evidence to study and understand the natural world. However, matters of taste, preference, and subjective judgment, such as determining the best rock band, involve personal opinions and can vary from person to person. Therefore, while scientific methods are applicable to many questions, they cannot provide a definitive answer to subjective matters like artistic preferences.

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Answer:

True

Because mitochondria is the powerhouse of the cell.

Explanation:

Hope this helps you

Answer:

True

Explanation:

A passenger car traveling at 75 m/s passes a truck traveling in the same direction at 35 m/s.  the frequency heard by the driver of the car is approximately 267.67 Hz, which is closest to option D) 266 Hz.

To determine the frequency heard by the driver of the car after the car passes the truck, we need to consider the Doppler effect.

The Doppler effect describes how the frequency of a sound wave changes when there is relative motion between the source of the sound and the observer. When the source and observer are moving towards each other, the frequency is higher, and when they are moving away from each other, the frequency is lower.

In this case, the car is moving towards the truck. The frequency heard by the driver of the car can be calculated using the formula:

Observed frequency = Source frequency × (Speed of sound + Speed of observer) / (Speed of sound + Speed of source)

Plugging in the given values:

Observed frequency = 240 Hz × (336 m/s + 75 m/s) / (336 m/s + 35 m/s)

Calculating the expression:

Observed frequency = 240 Hz × 411 m/s / 371 m/s

Simplifying:

Observed frequency ≈ 267.67 Hz

Therefore, the frequency heard by the driver of the car is approximately 267.67 Hz, which is closest to option D) 266 Hz.

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Answer:

c

Explanation:

5.3" (and any subsequent words) was ignored because we limit queries to 32 words.

The pressure exerted by a single nail on the performer's foot is approximately 203 MPa.

To determine the pressure exerted by a single nail on the performer's foot, we need to calculate the force exerted by the nail and divide it by the area of contact.

The force exerted by the nail can be calculated using the formula:

        Force = mass x acceleration

Given that the performer has a mass of 65 kg and the acceleration due to gravity is approximately 9.8 m/s²,

we can calculate the force as:

          Force = 65 kg x 9.8 m/s² = 637 N

The area of a circle can be calculated using the formula:

         Area = π x (radius)²

Substituting the values, we have:

         Area = π x (0.001 m)² ≈ 3.14 x 10⁻⁶  m²

Finally, we can calculate the pressure exerted by the nail on the foot by dividing the force by the area:

          Pressure = Force / Area

          Pressure = 637 N / (3.14 x 10⁻⁶ m²) ≈ 2.03 x 10⁸ Pa

Converting this pressure to mega-Pascals (MPa), we divide by 10⁶:

         Pressure ≈ 2.03 x 10² MPa

Therefore, if the performer stepped on a single nail, the nail would exert a pressure of approximately 203 MPa on his foot.

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The concentration of an chemical in an oil spill in ppb is 0.013 ppb (approx).

concentration is the abundance of a constituent divided by the total volume to the  mixture. Several by the  types of mathematical description can be the  distinguished: mass of the  concentration, molar concentration, number and  concentration, and volume concentration.

Calculate the concentration in ppb by multiplying to the  ratio of the mass of solute to  mass of solution by 1 billion or 10 ^9

So here the answer can be calculated by

(10^ 9)(6×10 ^-8)/4600

(Here 0.060 mg = 6 × 10 ^-8 kh)

=  6/460

= 0.013 ppb (approx)

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Scientific investigation asks about a cause-and-effect relationship between two variables. Thus, the correct answer is (a).

Scientific investigation is intended to create a hypothesis and demonstrate its validity or lack thereof. Experiments must be conducted in order to test these hypotheses, and these experiments are planned in accordance with the discovery of a cause-and-effect relationship between the two variables under scientific investigation. In these experiments, the "cause" is variable upto various degrees, and the "effect" of the variance is noted. The experimental design, which will try to manipulate the causes to see how these manipulations impact the second variable, will thus be guided by knowledge of the cause-and-effect connection.

Observations are frequently the first step in a scientific investigation.

An observation is something that is discovered using the senses of humans or tools and measurement technologies that support the senses of humans. Important scientific discoveries may result from unintentional observations.

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Answer:

pjgfiomohibugydtdraesrsstdytsrstatfgikokugulfyiditsrsrftftdyfypjgfiomohibugydtdraesrsstdytsrstatfgikokugulfyiditsrsrftftdyf

Answer:

18 m/s

Explanation:

Given that,

Speed of river is 8 m/s due South

From the shore, you see a boat moving South with a speed of 10 m/s. Both boat and river are moving in same direction. The resultant velocity will add up.

v = 10 m/s + 8 m/s

v = 18 m/s

Hence, the rowers are moving with a speed of 18 m/s.

Sure! Here are the steps for calculating the velocity and distance traveled by the car after 50 seconds :

Step 1: Calculate the velocity using the equation:

\(v = u + at\)

where:

- \(v\) is the final velocity

- \(u\) is the initial velocity (0 m/s, as the car starts from rest)

- \(a\) is the acceleration (3 m/s²)

- \(t\) is the time (50 seconds)

Substituting the values into the equation:

\(v = 0 + (3 \, \text{m/s²}) \times (50 \, \text{s})\)

Step 2: Calculate the distance traveled using the equation:

\(s = ut + \frac{1}{2}at^2\)

where:

- \(s\) is the distance traveled

- \(u\) is the initial velocity (0 m/s)

- \(a\) is the acceleration (3 m/s²)

- \(t\) is the time (50 seconds)

Substituting the values into the equation:

\(s = 0 \times (50 \, \text{s}) + \frac{1}{2} \times (3 \, \text{m/s²}) \times (50 \, \text{s})^2\)

Now, let's simplify these equations:

\(v = 3 \times 50\)

\(s = \frac{1}{2} \times 3 \times 50^2\)

Calculating the results:

\(v = 150\) m/s

\(s = 3750\) meters

Therefore, after 50 seconds, the car will have a velocity of 150 m/s and would have traveled a distance of 3750 meters.

Answer:

All the spheres interact with other spheres.

Explanation:

Rain (hydrosphere) falls from the clouds in the atmosphere to the lithosphere and then forms streams and and rivers that provide drinking water for wildlife and humans and water for plants and crops to grow.

During vegetative propagation, a new plant grows from parts of the parent plant.

During binary fission, a cell divides to produce a new genetically identical cell.

Asexual reproduction involves fission, budding, fragmentation, and parthenogenesis, whereas sexual reproduction is achieved by combining the germ cells of two individuals. The statement describing asexual reproduction is Offspring are born that have the same DNA as the parent.

Only one parent is needed to produce a child. Includes cell division similar to cell division in mitosis. Asexual reproduction is a form of reproduction in which the offspring produced are exactly like their parents. Also, there is no formation of two different gametes, nor the involvement of two different sexes. In unicellular organisms, mitosis is the mode of asexual reproduction.

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Answer:

I don't agree

Explanation:

Atoms have 3 subatomic particles protons, electrons and neutrons,

Plane used to remove the tip of your nose is known to be called option C. Frontal (front/back).

In regards to biology, If a person were to cut their nose off, it is one that is known to be called coronal.

The coronal plane is said to be a term that is often referred to as the frontal plane and it is seen as any vertical plane that shares the body into ventral as well as dorsal (belly and back) parts.

Therefore one can say that the coronal Plane (Frontal plane) used to remove the tip of your nose.

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Answer:

80.08 km/h

Explanation:

Given that Black Panther ran 567.6 km to the east in 23 hours

Velocity = distance covered/time

Substitute the distance covered and time into the formula

Velocity = 567.6/23

Velocity = 24.68 km/h

then turned around and ran 221.8 km to the west in 1.2 hours.

Velocity = 221.8/1.2

Velocity = 184.83 km/h

What was his average velocity during the trip in km/h ?

Average velocity = (V + U)/2

Since the two velocity are opposite to each other, the average velocity will be:

Average velocity = (-24.68 + 184.83)/2

Average velocity = 160.15/2

Average velocity = 80.08 km/h

Therefore, his average velocity during the trip is 80.08 km/h

False. Hydrostatic pressure force does not always act on the centroid of the area.

The statement that hydrostatic pressure force always acts on the centroid of the area is false. Hydrostatic pressure is the pressure exerted by a fluid at rest due to the weight of the fluid above it. It depends on the depth and density of the fluid and is perpendicular to any surface it acts upon.

When considering a submerged surface, such as a submerged plate or wall, the hydrostatic pressure force is indeed applied normal to the surface. However, this force does not necessarily act at the centroid of the area. The distribution of hydrostatic pressure forces depends on the shape and orientation of the surface.

For irregularly shaped surfaces or surfaces with varying depths, the hydrostatic pressure force acts differently at different points. It follows the principle of Pascal's law, which states that the pressure at a point in a fluid is transmitted equally in all directions. As a result, the force distribution can vary across the surface.

In summary, the hydrostatic pressure force does not always act on the centroid of the area. Its distribution depends on the shape, orientation, and depth of the submerged surface, following the principles of Pascal's law.

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negotiation.

SANA MAKATULONG.

In the conflict resolution, promotes competition a win-lose outcome. Competition results into conflict when two parties tend to seek control over a situation.

Competition results when one's own needs are advocated over the needs and requirements of others. It relies on an aggressive style of communication, which is of low regard for future relationships, and the exercise of coercive power. Those who are using a competitive style tend to seek control over a situation, in both the substance and ground rules.

There are times, when competition between two individuals can escalate into an unproductive, and dangerous conflict. The danger can range from unproductive behavior of a person to unethical behavior which could include physical attack. This results into a win-lose outcome.

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The velocity of the river is 8 m/s. The standard unit for velocity is meters per second (m/s).

What is Velocity?

Velocity is a physical quantity that refers to the rate at which an object changes its position with respect to a reference point.  In other words, velocity describes both how fast an object is moving and in what direction it is moving.

This problem can be solved using vector addition.

Let the velocity of the swimmer be v_s = 4 m/s at an angle of 30 degrees to the normal to the riverbank.

Let the velocity of the river be v_r = ? m/s in an unknown direction.

The velocity of the swimmer relative to the river can be found using vector addition:

v_s/r = sqrt(v_s^2 + v_r^2 - 2v_sv_r*cos(theta))

where theta is the angle between the velocity of the swimmer and the velocity of the river.

Since the swimmer is crossing the river directly perpendicular to the river, theta = 90 degrees.

v_s/r = sqrt(v_s^2 + v_r^2 - 2v_sv_r*cos(90))

v_s/r = sqrt(v_s^2 + v_r^2)

Substituting in the values:

4/v_r = sqrt(4^2 + v_r^2)

16/v_r^2 = 16 + v_r^2

v_r^2 + 16v_r - 256 = 0

Using the quadratic formula:

v_r = (-16 ± sqrt(16^2 + 41256)) / 2*1

v_r = (-16 ± sqrt(1024)) / 2

v_r = (-16 ± 32) / 2

The negative solution is not physically meaningful, so we take the positive solution:

v_r = 8 m/s

Therefore, the velocity of the river is 8 m/s.

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