A cheetah can start from rest and attain the velocity 72km/h in 2 seconds. Calculate the acceleration of cheetah.

Answers

Answer 1

Answer:

Acceleration(a)=21.60 km/h or 21,600 m/s

Explanation:

Since you have the initial velocity(0, because it starts from rest) and the final velocity 72 km/h or 72,000 m/s. so...

[tex]a=\frac{Vf-Vi}{t}\\ a=\frac{72,000 m/s-0}{2s}\\ a=\frac{72,000 m/s}{2s}\\ a=36,000m/s or 36 km/h[/tex]


Related Questions

what nuclear fission and nuclear fusion have in common? A. They’re both used in power plants B. they have less mass than their reactants C. they start with the same reactants D. their products have more mass than their reactants

Answers

Answer:

B. they have less mass than their reactants

Explanation:

In both nuclear fission and nuclear fusion, the products have less mass than their reactants. So, option B is correct.

What is meant by nuclear reaction ?

Nuclear reaction is defined as the reaction that involves the collision between one or more atomic nuclei and a highly energetic subatomic particle to produce one or more nuclei along with the emission of a large amount of energy.

Here,

Nuclear fission and fusion are two types of nuclear reactions that involves the production of large amount of energy from atomic nuclei.

Nuclear fission is the nuclear reaction in which a heavier nucleus is split into two or more lighter nuclei, under radioactive condition, with the release of a massive amount of energy.

Nuclear fusion is the nuclear reaction in which two or more lighter nuclei nuclei fuse together under radioactive condition and forms a heavier nuclei and by releasing a large amount of energy.

In both nuclear fission and nuclear fusion, there occurs a release of large amount of energy. This is because most of the mass of the reactants is converted into energy which is known as the mass-energy. So the products of these nuclear reactions will have lesser mass than their reactants.

Hence,

In both nuclear fission and nuclear fusion, the products have less mass than their reactants.

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A physics professor uses an air-track cart of mass m to compress a spring of constant k by an amount x from its equilibrium length. The air-track has negligible friction. When she lets go, the spring launches the cart. What cart velocity should she expect after it is launched by the spring

Answers

Answer:

        v = √k/m    x

Explanation:

We can solve this exercise using the energy conservation relationships

starting point. Fully compressed spring

        Em₀ = [tex]K_{e}[/tex] = ½ k x²

final point. Cart after leaving the spring

        [tex]Em_{f}[/tex] = K = ½ m v²

        Em₀ = Em_{f}

        ½ k x² = ½ m v²

        v = √k/m    x

Which is one piece of evidence of seafloor spreading? help :(​

Answers

Answer:

Mid ocean ridges are evidence of sea floor spreading as tectonic movement opens a gash or "fault" in the ocean floor.

Answer:

Eruptions of molten material, magnetic stripes in the rock of the ocean floor, and the ages of the rocks themselves; this evidence led scientists to look again at Wegener's hypothesis of continental drift.

You are observing the radiation from a distant active galaxy and you notice that the amplitude of the signal varies in strength regularly over a certain period. The maximum possible size for the source of this radiation can now be calculated from the:____________

Answers

Answer:

Period of the signal.

Explanation:

So, this question is all about a concept in physics or astronomy which is called or known as Radiation Astronomy and Galactic Nuclei that are active. This concept talks most about Quasars; a powerful radiating object which derives its power from black holes.

When You take a look at Quasars, we get the to know that the more you think you can see, the more they move away from us.

Thus, when "You are observing the radiation from a distant active galaxy and you notice that the amplitude of the signal varies in strength regularly over a certain period. The maximum possible size for the source of this radiation can now be calculated from the "PERIOD OF THE SIGNAL.

NB: not the amplitude but the period.

show the relationship between the quantity of matter and the mass of objects​

Answers

Answer:

actually quantity of matter present in a body is its mass.

If you could travel from one planet to another
in our solar system, which of the following
would change the most?
A. your weight
B. your mass
C. your height
D. your width

Answers

The answer is A. Mass is constant, height and width won’t change. So that leaves weight.
A. you’re weight contradicts gravity which there is none in other planets.

A series circuit is shown in the diagram below. What is the potential drop across R₁? (R₂ = 20 Ω, R₂ = 40 Ω, R₃ = 60 Ω, V = 60 V) (Ohm's law: IR)

Answers

Answer:

Option B. 10 V.

Explanation:

The following data were obtained from the question:

Resistor 1 (R₁) = 20 Ω

Resistor 2 (R₂) = 40 Ω

Resistor 3 (R₃) = 60 Ω

Potential difference (V) = 60 V

Next, we shall determine the total resistance of the circuit.

The circuit is in series connection. Therefore the total resistance (R) can be obtained by adding up R₁, R₂ and R₃ together as shown below:

R = R₁ + R₂ + R₃

R = 20 + 40 + 60

R = 120 Ω

Therefore, the total resistance in the circuit is 120 Ω

Next, we shall determine the current flowing in the circuit.

Note: The same current will flow through each resistor since they are in series connection.

The current flowing in the circuit can be obtained as follow:

Potential difference (V) = 60 V

Total resistance (R) = 120 Ω

Current (I) =..?

V = IR

60 = I x 120

Divide both side by 120

I = 60/120

I = 0.5 A

Therefore, the current flowing in the circuit is 0.5 A

Now, we can calculate the potential drop across R₁ as follow:

Resistor 1 (R₁) = 20 Ω

Current (I) = 0.5 A

Potential difference cross R₁ (V₁) =.?

V₁ = IR₁

V₁ = 0.5 x 20

V₁ = 10 V

Therefore, the potential difference across R₁ is 10 V.

Assignment: Ultrasound and Infrasound Research Exploration Ultrasound and infrasound are categories of sound with different frequencies. These categories of sound can be used for a variety of different applications. In this research assignment, you will take a look at the industrial applications of ultrasound and infrasound. Your essay should do the following things: • Define and describe in detail (and in your own words) ultrasound and infrasound • Describe how ultrasound and infrasound are used in specific industrial applications and provide detailed examples. When conducting your research, remember to gather information from multiple sources. Start your research by defining ultrasound and infrasound. Then find ideas about industrial applications. The essay should be about 350-450 words, which is 1-1.5 typed pages, double-spaced, using 12-pt. font. Check the rubric to review how you will be graded for this assignment. plz no funny answers

Answers

Answer:

Infrasound vs. Ultrasound: Infrasound is sound that is below the lower limit of human hearing, below 20 Hz, and ultrasound is above the upper limit of human hearing, above 20,000 Hz.  Individuals use infrasound - this recurrence run for checking seismic tremors and volcanoes, graphing rock and oil developments underneath the earth. Infrasound is described by a capacity to get around hindrances with little scattering.  

For instance, a few creatures, for example, whales, elephants and giraffes convey utilizing infrasound over significant distances. Torrential slides, volcanoes, seismic tremors, sea waves, water falls and meteors produce infrasonic waves. Symptomatic ultrasound, additionally called sonography or demonstrative clinical sonography, is an imaging technique that utilizes high-recurrence sound waves to create pictures of structures inside your body. The pictures can give important data to diagnosing and treating an assortment of ailments and conditions.

Explanation:

idk how many words this is but its a start for u to add on to and i hope this helps and its in my own words - pls mark me brainiest

Answer:

Ultrasound vs. Infrasound Research Exploration

Beyond the limit of human hearing, ultrasound is above 20,000 Hz. Under the limit of human hearing, infrasound is below 20 Hz. Individuals use infrasound - this recurrence run for checking seismic tremors and volcanoes as well as graphing rock and oil developments beneath the earth. Infrasound is described by a capacity to get around hindrances with little scattering.  

For instance, creatures like whales, elephants and giraffes convey utilizing infrasound over significant distances. Torrential slides, volcanoes, seismic tremors, sea waves, waterfalls and meteors produce infrasonic waves. Symptomatic ultrasound, additionally called sonography or demonstrative clinical sonography, is an imaging technique that utilizes high-recurrence sound waves to create pictures of structures inside your body. The pictures can give important data to diagnosing and treating an assortment of ailments and conditions.

(Not turned in yet, but this is what i have so far. Good luck 8th graders <33)

-Sav xx

3. An electron with a mass of 9.11 X 10^-31 kg is moving at a speed of 2.19 X 10 m/s. What is the kinetic energy of the electron?

Answers

Answer:

[tex] 2.18\times 10^{-30} \:J[/tex]

Explanation:

[tex] K.E._{Electron}= \frac{1}{2} mv^2 \\\\

= \frac{1}{2} \times 9.11\times 10^{-31}\times (2.19\times 10)^2 \\\\

=4.555\times 10^{-31}\times 4.7961\times 10^2 \\\\

=4.555\times 10^{-31+2}\times 4.7961 \\\\

=21.8462355\times 10^{-29}\\

=2.18462355\times 10^{-30}\\

=2.18\times 10^{-30} \:J\\[/tex]

A skateboarder rides down the street. When his feet push down on the
skateboard, what is the reaction force?

Answers

Answer:

the skateboard pushes up

Explanation:

newton's 3rd law says for every action, there's an equal and opposite reaction, so when his feet push on the skateboard, the skateboard pushes back up.

Answer:

the skateboard pushes up

Explanation:

A ray of light is projected into a glass tube that is surrounded by air. The glass has an index of refraction of 1.50 and air has an index of refraction of 1.00. At what minimum angle will light in the glass tube be totally reflected at the glass/air interface?

Answers

Answer:

θ = 41.8º

Explanation:

This is an internal total reflection exercise, the equation that describes this process is

         sin θ = n₂ / n₁

where n₂ is the index of the incident medium and n₁ the other medium must be met n₁> n₂

        θ = sin⁻¹ n₂ / n₁

let's calculate

       θ = sin⁻¹ (1.00 / 1.50)

       θ = 41.8º

A nonrenewable resource

Answers

Answer:

It is a finite resource.

Explanation:

A nonrenewable resource is a natural substance that is not replenished with the speed at which it is consumed. Fossil fuels such as oil, natural gas, and coal are examples of nonrenewable resources.

Answer:

Coal, oil, natural gas.

Explanation:

Non renewable resource -A non-renewable resource (also called a finite resource) is a natural resource that cannot be readily replaced by natural means at a quick enough pace to keep up with consumption.

Coal, oil, and natural gas are all examples of non-renewable resources and cannot be readily replaced to keep up with consumption.

Imagine that your standing on a beach but cannot swim. Your friend encourages you to walk into the surf zone created by incoming deep-water waves that have a wavelength of 30 meters. Would it be safe to walk out to where the waves are breaking? Explain how you arrived at your answer.

Answers

Answer:

It would not be safe to walk out to where waves are breaking due to the effect of rip currents

Explanation:

The water depth in the surf zone is between 5 to 10 meters deep and with a wavelength of 30 meters, the speed of the wave is considerably fast such that control for safety may be difficult

Also the speed of the wave is directly related to the depth of the water which means that where the wave described above is fast as well as the rip current, also the water depth is expected to be considerable for a non swimmer

It is best to seek for sign post regarding safe areas and do not go into the water where there are no lifeguards or marked safe zones.

It won't be safe to walk out to where the waves are breaking.

This is because the wavelength is 30 meters which is a characteristic of

areas with significant water depth in the range of 5-11 meters.Under these

conditions the waves are usually very fast and may get swept with the

current from the water waves when trying to run from it.

It is recommended that we stay in areas where the depth is noted as not

being much and should always seek help and clarity from the life guards so

as to prevent drowning and death.

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Which of the following statements are true? (mark all that apply)
A) Adaptive optics corrects for atmospheric distortion by following the distortion of a bright star, possibly an artificial star created by a laser, and rapidly changing the shape of a mirror using computer-controlled actuators to compensate for the distortion.
B) Improvements in technology will eventually allow the entire electromagnetic spectrum to be observed from high mountaintop observatories.
C) X rays from astronomical objects can only be detected from telescopes in space or in high altitude rockets.
D) The best observing sites for optical telescopes are atop remote mountains.
E) Radio telescopes must be carried to high altitudes by balloons in order to detect this type of radiation.

Answers

Answer:

The answer(s) for this question are as followed: A, C, & D

Explanation:

I hope this helped, let me know if i missed any.

please help me to solve the problem
?cm=1m​

Answers


1m is equivalent to 100cm

1m = 100cm

Is a motor a load that can be found in a circuit?

Answers

Answer:

yes you can find a motor in a circuit

Hypothetically speaking, if an object were located at the center of the Earth, the gravitational force on that object due to the surrounding Earth, assuming matter is uniformly distributed, would have which of the following values?
a) The force would be approximately the same value as if the object were on the surface of the Earth.
b) The force would be much greater than the value if the object were on the surface of the Earth.
c) The force would be somewhat less than the value if the object was on the surface of the Earth, but it would be greater than zero newtons.
d) The force would be zero newtons.

Answers

Answer:

D. ) The force would be zero newtons

Explanation:

Because

If you are at the center of the earth, gravity is zero because all the mass around you is pulling "up" (every direction there is up!)

So F=mg so if g is zero F is also zero

a truck is moving with a certain uniform velocity. it is accelerated uniformly by 0.75 m/s^2.after 20 seconds, the velocity becomes 72 km/h. find the initial velocity

Answers

Answer:

[tex]\boxed{V_{i} = 5\ m/s}[/tex]

Explanation:

Given:

Acceleration = a = 0.75 m/s²

Time = t = ?

Final Velocity = [tex]V_{f}[/tex] = 72 km/hr = 20 m/s

Required:

Initial Velocity = [tex]V_{i}[/tex] = ?

Formula:

a = [tex]\frac{V_{f}-V_{i}}{t}[/tex]

Solution:

For  [tex]V_{i}[/tex]  the formula becomes:

[tex]V_{i} = V_{f}-at[/tex]

[tex]V_{i}[/tex]  = 20 - (0.75)(20)

[tex]V_{i}[/tex]  = 20 - 15

[tex]V_{i}[/tex]  = 5 m/s

In Case: If you want it in km/hr:

[tex]V_{i}[/tex]  = 5 * 3.6

[tex]V_{i}[/tex]  = 18 km/hr

Answer:

5 m/s

Explanation:

acceleration = 0.75 m/s²

time = 20 s

final velocity = 72 km/h = 20 m/s

initial velocity = ?

Apply formula for initial velocity.

[tex]u=-at+v[/tex]

[tex]\sf a=acceleration\\t=time\\v=final \: velocity\\u=initial \: velocity[/tex]

Solve for u.

[tex]u=-(0.75)(20)+ 20[/tex]

[tex]u=-15+20[/tex]

[tex]u= 5[/tex]

Fill in the appropriate word or term for the following statements.
a. -150 mV
b. Voltage-gated
c. resting
d. super- depolarization
e. +30 mV
f. +15 mV action
g. action
h. close
i. open
j. hyperpolarization
1. Voltage-gated K -50 mV channels remain open, causing a ___________of the membrane. The membrane is now in its relative refractory period.
2. The membrane is at the____________ potentials occasionally generating graded potential. open
3. Voltage-gated K channels____________and the resting potential of the membrane is restored.
4. At about ____________voltage-gated Na* channels are inactivated, and voltage-gated K channels open. Kt exits the cell and repolarizes the membrane. At this time, the membrane is in its absolute refractory period.
close
5. An action potential is triggered when the threshold potential of about____________ is reached. Voltage-gated Na+ channels open. Na* diffuses into the cell and depolarizes the membrane.

Answers

Answer:

1 j

2 C

3 H

4E

5A

Explanation:

A boat floats in a lake. When the boat moves the force of resistance is proportional to the velocity of the boat. Initially the boat is at rest. A person walks from the stern to the bow of the boat. What will be the position of the boat long time after the person stopped moving?

Answers

Answer: Contant.

Explanation:

You are given that When the boat moves the force of resistance is proportional to the velocity of the boat. This means that the total momentum on the boat is equal to zero. Then the boat remains at a certain position.

When a person walks from the stern to the bow of the boat, the boat will tend to move in the opposite direction with equal magnitude of momentum. The magnitude of forces will thereby cancel out.

The person will be seen moving while the boat moves in the opposite direction.

If no external force is acting on the boat, the sum of the momentum of the person and the boat will be equal to zero. And the boat will remain at rest.

The position of the boat long time after the person stopped moving will therefore remain the same.

Letícia leaves the grocery store and walks 150.0 m to the parking lot. Then, she turns 90° to the right and walks an additional 70.0 m to her car. What is the magnitude of the displacement of her car from the grocery store exit?

Answers

Answer:

165.529454

Explanation:

According to the Pythagorean Theorem for calculating the lengths of a right angle triangle's sides, a^2 + b+2 = c^2, where c is the longest side (and the side opposing the right angle). So in your case it would be 150*150 + 70*70 = 27400. And √ 27400 is your answer.

PHYSICS
A small sphere of mass 2g is released from rest in a large vessel filled with oil, where it
experiences a resistive force proportional to its speed. The sphere reaches a terminal speed of 5.00
cm/s. Determine the time constant given the following masses.​

Answers

Answer:

5.10×10⁻³ s

Explanation:

At terminal velocity, the acceleration is 0.

Sum of forces in the y direction:

∑F = ma

bv − mg = 0

mg = bv

m = bv / g

m/b = v/g

τ = v/g

τ = (5.00 cm/s) / (980 cm/s²)

τ = 5.10×10⁻³ s

Resistor R1 and R2 are connected in parallel to an emf source that has negligible internal resistance. What happens to the current through R1 when the third resistor R3 is connected parallel with R1?

Answers

The current does not change.

All three resistors are connected directly to the power source, and are unaware of each other.

Which statement describes one feature of a closed circuit? Charges do not flow. Bulbs will not shine. The circuit is broken. The circuit is complete.

Answers

I inferred you've referring to a close electrical circuit.

Answer:

The circuit is complete.

Explanation:

A closed electrical circuit is indeed a complete circuit. Also, it allows charges to flow, the bulbs in the circuit will shine and it is not broken.

It is termed closed circuit because there is no brokage in the series of electrical wires or the switch; which may prevent the free flow of current or charges. Thus, a feature that marks closed circuits is that they are complete.

Answer:

The circuit is complete.

Explanation:

The Si unit of potential difference is a) volt b) JA⁻¹s⁻¹ c)JC⁻¹ d) All the above

Answers

Answer:

a) Volt

Explanation:

The standard metric unit on electric potential difference is the volt.

answer

all of the above

explanation

as we know that the si unit of potential difference is volt

which is equal to j/c and j/c is equal to j/a.s so the correct answer is all of the above

What is density?
O A. The net energy transferred between two objects
B. A measure of mass per unit volume
O C. A measure of the movement of molecules
O D. The force exerted on an area​

Answers

Answer:

B. A measure of mass per unit volume

Explanation:

Mass and volume are intimately correlated with density. In reality, it explains the precise nature of the connection between the two. We can determine an object's density by dividing its mass by volume. Thus, option B is correct.

What best defines about density?

The mass or amount per unit of volume of a substance determines its density. Density is calculated using the formula mass/volume. It is considered to have a low density if a mass has a high volume but a tiny mass.

The volume and subsequently the density of a material typically alter when it changes its phase or state of matter. Temperature is the primary component, even though pressure can also affect how a material changes state.

Water availability, climate, relief (the contour of the terrain), vegetation, soils, and the accessibility of renewable energy sources are physical elements that impact population density. Social, political, and economic variables altering humans all have an impact on population density.

Therefore,  A measure of mass per unit volume.

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By starting with a falsifiable hypothesis and proceeding to gather data and ensure replicability, a scientist can contribute to the potential formation of a(n)

Answers

Answer:

theory

Explanation:

A scientist can contribute to the formation of a theory in a particular subject by conducting research along the line of that subject.

Conducting research requires the formation of a hypothesis and testing the hypothesis by conducting a relevant experiment during which data are gathered, analyzed, and interpreted in order to falsify or accept the hypothesis.

A good experiment must be replicate-able. When the same experiment is repeated by different independent researchers and the same conclusion is arrived at, this could potentially lead to the formation of a theory.

Hence, a scientist can contribute to the formation of a theory by conducting an experiment with replicability in order to test a hypothesis.

If you precisely measure the position of a particle, you __________. If you precisely measure the position of a particle, you __________. destroy information about its momentum convert it into a wave cause it to interfere cause the particle to be annihilated

Answers

Answer:

Destroy information about the speed of the particle

Explanation:

This is according to Heisenberg's Uncertainty Principle states that there is inherent uncertainty in the act of measuring a variable of a particle. Commonly applied to the position and momentum of a particle, the principle states that the more precisely the position is known the more uncertain the momentum is and vice versa.

A ball is launched from the ground with a horizontal speed of 30 m/s and a vertical speed of 30 m/s. When will the ball hit the ground again? A. 4 s B. 6 s C. 3 s D. 5 s

Answers

Answer:

B. 6 s

Explanation:

Given in the y direction:

Δy = 0 m

v₀ = 30 m/s

a = -10 m/s²

Find: t

Δy = v₀ t + ½ at²

0 m = (30 m/s) t + ½ (-10 m/s²) t²

0 = 30t − 5t²

0 = 5t (6 − t)

t = 6

A ball is launched from the ground with a horizontal speed of 30 m/s and a vertical speed of 30 m/s, the ball will hit the ground again at approximately t = 6 seconds. The correct option is B.

We can examine the ball's vertical motion to predict when it will strike the ground once more.

h = v0t + (1/2)g[tex]t^2[/tex]

0 = 30t + (1/2)(9.8) [tex]t^2[/tex]

Simplifying the equation:

4.9 [tex]t^2[/tex] + 30t = 0

Factorizing the equation:

t(4.9t + 30) = 0

Solving for t in 4.9t + 30 = 0:

4.9t = -30

t = -30 / 4.9

t ≈ -6.1

Since time cannot be negative in this context, we discard the negative solution.

Therefore, the ball will hit the ground again at approximately t = 6 seconds.

Thus, the correct answer is B. 6 s.

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why does a hot air balloon fall when the air inside is not heated​

Answers

A hot air balloon rises in the first place because the air inside is hot, which rises. So, if the air inside is not heated, it fails to rise and falls. Warm air rises because the particles get excited and jiggle with the heat, and cause the air to take up more space. So, as the surrounding air is probably colder and denser, the less dense hot air rises up in the hot air balloon.
Other Questions
Scott Company sells merchandise with a one-year warranty. Sales consisted of 2,500 units in Year 1 and 2,000 units in Year 2. It is estimated that warranty repairs will average $10 per unit sold, and 30% of the repairs will be made in Year 1 and 70% in Year 2 for the Year 1 sales. Similarly, 30% of repairs will be made in Year 2 and 70% in Year 3 for the Year 2 sales. In the Year 3 income statement, how much of the warranty expense shown will be due to Year 1 sales? Janes mobile phone plan charges $0.05 per minute at daytime rates before 8 p.m. and $0.03 per minute at nighttime rates after 8 p.m. A conference call costs 1.5 times the normal rate. Calculate the cost of a conference call lasting from 7 p.m. to 8:30 p.m. Public health officials are concerned about a possible epidemic of methicillin-resistant Staphylococcus aureus (MRSA). It presents as a rapidly-progressing skin abscess accompanied by significant tissue destruction or "flesh-eating." Which condition has led to the concern that this disease may become an epidemic A system of linear equations is shown on the graph. The equation of one of the lines is y = 1/2x + 4 What is the expectation for a binomial distribution with p = 0.5 and n = 8? The linear function f (x) and g(x) are represented on the graph where g(x) is a tranfomation of f(x) I need help with part A part B and Part C Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k. A) 2 B) 3 C) 4 D) 5 IF YOU ANSWER IN 5 MINUTES I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!! Which of the following was a result of the Japanese attack on the U.S. navalbase at Pearl Harbor? What was an unintended negative environmental consequence of improved technology in agriculture?A. Farmers went bankrupt purchasing expensive equipment.B. Modern technology allowed for larger expanses of land to become cultivated, so farming took over many natural areas that were important for wildlifeC. Machines took away jobs commonly performed by farm workersD. Machines diminished the quality of the crops. Select the correct text in the table. Use the fundamental theorem of algebra to determine whether each statement is sometimes true, always true, or never true. 1. A quadratic function has 2 distinct roots. always sometimes never 2. A cubic function has at least 1 real root. always sometimes never 3. A function with a degree of 5 has 5 roots. always sometimes never 4. A quadratic function can have only 1 complex solution. always sometimes never what are documents convey information about products, processes, or business matters concisely and clearly (09.01 MC)In circle A shown below, Segment BD is a diameter and the measure of Arc CB is 54:Points B, C, D lie on Circle A. Line segment BD is the diameter of circle A. Measure of arc CB is 54 degrees.What is the measure of DBC? (4 points) Given the diagram below, what is cos(45*)? A.B.C.D. There were females and males present at the high school pep rally. Find the ratio of males to the total number of people present. Express as a simplified ratio. Look at the map and answer the following question.Based on the map of the Korean War, which of the following statements is correct?The city of Pusan was under North Korean and South Korean control at different points in the war.b. The city of Pusan was under North Korean control for only a brief period in 1951.North Korean lost control of the city of Pusan very early on in the war and never regained it.d. The city of Pusan was never under North Korean control at any point in the war. What is the factored form of the polynomial? z2 10z + 25 a wire of a certain material has resistance r and diameter d a second wire of the same material and length is found to have resistance r/9 what is the diameter of the second wire g Which of the following exponential functions is represented by the graph? Question 7 options: A) (x) = (15)x B) (x) = (15)x C) (x) = 5x D) (x) = 5x What is the difference between a clich and an archetype?O A. A clich requires the reader to think deeply about a story, while anarchetype is easy for the reader to figure out.B. A clich focuses on the plot elements in a story, while anarchetype focuses mainly on the actions of the characters.C. A clich appears in a single story, while an archetype appearsrepeatedly over several different types of stories.D. A clich is overused and uninteresting, while an archetype remainsfresh because writers make it feel new. Box A contains 5 dark chocolates and10 milk chocolates. Box B contains 12dark chocolates and 12 milk chocolates.Craig picks a box at random and thentakes out one chocolate at random.What is the probability that he gets a darkchocolate?% (1 d.p.)