1. on the planet arrakis a male ornithoid is flying toward his mate at 25.0 m/s while singing at a frequency of 1200 hz. if the stationary female hears a tone of 1240 hz, what is the speed of sound in the atmosphere of arrakis?

Answers

Answer 1

If the stationary female hears a tone of 1240 hertz, then the speed of the sound in the atmosphere of arrakis will be 775 meter per second.

The term "Ducler shift" refers to the apparent change in frequency caused by the source moving closer to the observer or by the relative motion between the source and the object. The formula: true frequency over 1 minus v s over v gives the observed frequency. Let's call this equation 1, shall we? The real frequency in our case is stated as 1200 hertz, but the perceived frequency is reported as 1240 hertz. It is stated that the source's velocity, vs, is 25.0 meters per second. Rearranging equation 1 yields the result that the real frequency over the absorbed is equal to 1 minus b s over v.

As a result, we can be represented as v s over 1 minus f, actual over f absorbed now 1 substituting the values we get 25.0 meter per and over 1 minus 1200 hertz over 1240 hertz. Frequency fur, the rearranging we get 1 minus f real over f absorbed, is equal to v s over v. The sound travels at a speed of 775 meters per second after further calculation.

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Related Questions

dark energy has been hypothesized to solve which problem? the universe is expanding. the cmb is too smooth. the expansion of the universe is accelerating. stars orbit the centers of galaxies too fast.

Answers

Dark energy has been hypothesized to solve The expansion of the universe is accelerating.

Functional behavioural assessment, or FBA for short, is used to examine a student's behaviour in order to determine the fundamental driving force behind the behaviour.As they apply the scientific method to learn more about the world, hypotheses are the questions that scientists ponder. People also employ the procedure of forming then attempting to refute a hypothesis in their daily lives. The purpose of the hypothesis is to organise the process of comprehending how the world operates. After the behaviour has been identified and information about the circumstances surrounding the student's activities has been gathered, the next step is to construct a hypothesis, which is a declaration that enumerates the conduct, what came before it, and its presumed purpose.

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If a high tide occurs at 6 A.M. and 6 P.M. At what time will the low tides occur?

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The time it takes for the water along the shore to go from high to low and back again is six hours and 12.5 minutes between high tides, which happen every twelve hours and twenty-five minutes.

How long does it take for the tide to change from high to low?

six days, twelve and five minutes

Coastal locations see two high and two low tides every 24 hours and 50 minutes because the Earth spins through two tidal "bulges" every lunar day. There are 12 hours and 25 minutes between high tides. The sea level at the shore can change from high to low or from low to high in six hours and 12.5 minutes.

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one metal object is a cube with edges of cm and a mass of g. a second metal object is a sphere with a radius of cm and a mass of g. are these objects made of the same or different metals? assume the calculated densities are accurate to .

Answers

density   ρ=mass/volume  density accuracy > 1%

cube volume  = 27 cm^3&mass = 140.4 g Density =140.4/27=5.2g/cm^3 sphere volume = 12 cm^3&mass= 61.6 g Density =61.6/12=0.133g/cm^3

mass per unit volume of a solid substance; density. Density is defined as d = M/V, where M stands for mass, and V for volume. The unit of density that is most frequently used is grammes per cubic centimetre. For instance, the density of Earth is 5.51 grammes per cubic centimetre, while the density of water is 1 gramme per cubic centimetre. Kg per cubic metre is another way to measure density (in metre-kilogram-second or SI units). Air, for instance, has a density of 1.2 kilogrammes per cubic metre. Books and manuals list the densities of typical solids, liquids, and gases. An easy way to determine a body's mass from its volume, or vice versa, is by its density.

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What is the height a football is
kicked when it leaves the players
foot at 30 m/s in a 29° angle?

Answers

Answer:

Vy = V0 * sin θ          vertical speed

Vy = 30 m/s * sin 29 = 14.5 m/s

t = 14.5 m/s / 9.8 m/s^2 = 1.48 sec         time to reach max height

H = Vy t - 1/2 g t^2       acceleration is in opposite direction to initial Vy

H = 14.5 m/s * 1.48 s - 1/2 * 9.8 m/s^2 * (1.48 s)^2

H = 10.7 m

Assuming you are looking for the maximum height of the football during its flight, here the answer.

Answer: 10.78 meters

Steps:

Equation for maximum height reached:
H = Vo^2 * sin^2 θ / 2g

Note:
H = maximum height
Vo = initial velocity
θ = angle
g = gravity

Here is what we know
Vo = 30
θ = 29°
g = 9.81

Therefore

H = 30^2 * sin^2 (29) / 2 * 9.81

Now let’s solve for H step by step.
H = 900 * sin^2 (29) / 2 * 9.81
H = 900 * 0.23504036 / 19.62
H = 211.53633109 / 1962
H = 10.78166825

H = 10.78 meters

in order to correctly calculate the mass of jupiter, the semi-major axis value needs to be in au instead of jupiter diameters. multiply your amplitude value by 9.545x10-4 au/jd to convert from jupiter diameters to au. calculate and convert the amplitudes for all of the moons in your excel sheet. 7. which of the galilean moons is closest to jupiter and which is the furthest?

Answers

The a3=MT2 is a variant of Kepler's third law. Where a denotes the semi-major axis distance in AU, M the central body mass in solar masses, and T the orbital period in years.

These are Jupiter's largest moons, and they were the first four discovered beyond Earth in 1610 by astronomer Galileo Galilei. The mass of Jupiter can be calculated by studying the motion of one of these moons and applying Kepler's third law and Newton's law of universal gravitation. Sending a spacecraft to a planet and measuring the acceleration due to gravity as the spacecraft passes by it is the most accurate way of measuring its mass.

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the heating coil in a hair dryer is made of nichrome wire with a radius of 0.275 mm. if the coil draws a current of 8.85 a when there is a 120 v potential difference across its ends, find the following. (take the resistivity of nichrome to be 1.50 ✕ 10−6 ω · m.)

Answers

The resistance of the coil  R IS 12.435Ω  and The length of the wire that is calculated from R= ρL/A is L = 1.97 m.

Electrical resistance is a force that opposes the flow of current and is hence resistance to electricity. In this sense, it acts as a gauge for the difficulty of current flow. Ohms () are used to measure resistance.

Electricity will flow from high to low when there is an electron difference between two terminals. In opposition to that flow is resistance. The current decreases with increasing resistance. Conversely, the higher the current, the lower the resistance. In theory, resistance is affected by the kind, temperature, and length of the material through which the electricity is flowing. Metals generally have low electrical resistance, which varies depending on the type of metal, which makes electricity flow through them more easily.

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A refrigerator operates on average for 10.0 h a day if the power rating of the refrigerator is 700 W how much electrical energy does the refrigerator use in one day

Answers

If a refrigerator operates on average for 10.0 h a day if the power rating of the refrigerator is 700 Watts, then the electrical energy consumed by the refrigerator in one day would be 25200-kilo Joules .

What is power?

The rate of doing work is known as power. The Si unit of power is the watt.

Power = work / time

As given in the problem If a refrigerator operates on average for 10.0 h a day if the power rating of the refrigerator is 700 Watts,

The electrical energy consumed by = power × time

                                                           = 700 × 10 × 3600

                                                           = 25200000 Joules

                                                           = 25200-kilo Joules

Thus, the electrical energy consumed by the refrigerator would be 25200-kilo Joules.

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a 100-hp 250-v 350-a shunt d.c. motor with an armature resistance of 0.05 ω. it is desired to design a starter circuit limits the maximum starting current to twice its rated value and which will switch out sections of resistance as the armature current falls to its rated value.

Answers

n= log(Ra/Rt)/log(Imin/Imax) ;= log(0.05/0.357)/log(350/700)= 2.84

3 stages of starting resistances

A circuit's opposition to current flow is measured by its resistance. The Greek letter omega () stands for ohms, which are used to measure resistance. Georg Simon Ohm (1784–1854), a German physicist who examined the connection between voltage, current, and resistance, is the subject of the name "Ohm." Many parts have a set resistance value, including heating elements and resistors. In manuals or on nameplates of components, these values are frequently printed for reference.

If there is a tolerance listed, the measured resistance value must fall within the given resistance range. A issue is typically indicated by any appreciable change in a fixed-resistance value.

Although the word "resistance" may sound bad, it has positive uses in electricity. In an active circuit, resistance cannot be measured.

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Find the initial velocity of an object traveling at a constant acceleration of 3.9 m/s2
, if the
object traveled 70,000 meters for 12 hours. Round to nearest hundredths place

Answers

Answer: 1.62 m/s

Explanation:

Distance/time=speed

12 hours in minutes is 720

12x60=720

720 minutes in seconds is 43200

720x60=43200

70000/43200=1.62037

1.62 m/s

NEED HELP URGENTLY FOR 10 POINTS!

Answers

Answer:

when he shot a beam of alpha particles at a sheet of gold foil, a few of the particles were deflected. He concluded that a tiny, dense n)ucleus was causing the deflections. SO the 3rd option :)

Explanation:

its like 4 a_m r)n why am i on brainly id_k have a nice day !

If an 800 kg roller coaster is at the top of its 50 high trackwill have a potential energy 392,000 J and a energy of This means the total mechanical energy is 392,000 the cart drops down to where its kinetic energy is now 92, 000J how high off the ground is the cart now?

Answers

Given data:

* The mass of the roller coaster is m = 800 kg.

* The total mechanical energy is E = 392000 J.

* The kinetic energy at the particular height (let h') is K = 92000 J.

Solution:

The potential energy of the roller coaster at h' is,

[tex]\begin{gathered} U=E-K \\ U=392000-92000 \\ U=300000\text{ J} \end{gathered}[/tex]

The potential energy in terms of height and mass is,

[tex]U=\text{mgh}[/tex]

where g is the acceleration due to gravity,

Substituting the known values,

[tex]\begin{gathered} 300000=800\times9.8\times h \\ 300000=7840\times h \\ h=\frac{300000}{7840} \\ h=38.3\text{ m} \end{gathered}[/tex]

Thus, the height of the roller coaster from the ground is 38.3 meters.

our electric drill rotates initially at 5.47 rad/s.5.47 rad/s. you slide the speed control and cause the drill to undergo constant angular acceleration of 0.379 rad/s20.379 rad/s2 for 4.05 s.4.05 s. what is the drill's angular displacement during that time interval?

Answers

31.257 radian  is the drill's angular displacement during that time interval.

initial angular speed  ω0 = 5.27 rad/sec , ang.acceleration  α = 0.399 rad/s2 , time t = 4.99 sec

angular displacement

θ = ω0 t + 1/2×αt^2

solving we get

θ = 31.257 rad

The angle at which a point revolves about a center or a line around a certain axis is known as the angular displacement of a body. We cannot examine a body's motion as a particle when it is moving or being rotated on its axis.

Rotational motion is the movement of a rigid body about a fixed axis. When the body or item is thought of being rigid, dealing with rotation is made simpler and easier. At every moment (t), the item experiences a change in acceleration and velocity similar to circular motion.

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Tiana leaves her internship at the doctor's office and goes home to wake up her brother, Adam. Then, they both walk to the school together to watch a play by the Drama Club. What distance did Tiana cover?

Answers

The distance covered by Tiana is greater than the distance covered by the brother.

What is distance?

Distance is defined as the quantity that defines how far or near an object is from an observer which is normally measured in meters, kilometers and feet.

There are various ways by which distance can be measured which include the following:

Pacing,Odometer,Taping or "chaining," and Stadi.

From the scenerio created concerning Tiana and the brother, Tiana first left the doctors office to her friends house and they both left together to the school.

This shows that the distance covered by Tiana is greater than the distance covered by her brother.

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A football player throws a football 30 meters in 2.5 seconds. What is the speed of the ball?A 75 m/sB 12 m/sC 30 m/sD 2.5 m/s

Answers

Given,

The distance covered by the football, d=30 m

The time it takes for the football to cover the given distance, t=2.5 s

The speed of an object is given by the ratio of the distance covered by the object to the time it takes for the object to cover that distance.

Thus the speed of the ball is given by,

[tex]s=\frac{d}{t}[/tex]

On substituting the known values in the above equation,

[tex]\begin{gathered} s=\frac{30}{2.5} \\ =12\text{ m/s} \end{gathered}[/tex]

Thus the speed of the ball is 12 m/s

Therefore the correct answer is option B.

extend your answer to question 5: what will be the final velocity of cart b if it is infinitely more massive than cart a? what will be the maximum velocity of cart b when it is of infinitesimal mass compared to cart a?

Answers

A common occurrence is the collision of a moving object with another object, after which both objects stick together. Because there is no bounce, such a collision is referred to as inelastic.

Inelastic collisions occur when kinetic energy is lost. An elastic collision, on the other hand, is one in which the kinetic energy after is equal to the kinetic energy before. Inelastic collisions occur when there is some "bounce" but the final kinetic energy is less than the initial kinetic energy. A collision with no bounce is sometimes referred to as completely inelastic. Collisions that are completely inelastic result in the objects sticking together and lose the most kinetic energy.

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300kg times 4m/s^(2)

Answers

I'm guessing that you need the force, since the question doesn't specify I'll just use the force equation. If this is not what you wanted let me know in the comments section of this answer.

m = 300 kg (kilograms)a = 4 (m/(s^2)) (meters per second square)F = ma

- F = 300 x 4

- F = 1200 N (newtons)

hi the picture attached is my question on my homework

Answers

ANSWER:

Sphere B

STEP-BY-STEP EXPLANATION:

The time of the air depends on the mass, initial velocity and the height of the object, having the same mass and the same height, it depends only on the initial velocity.

The higher the initial velocity, the shorter the time in the air, therefore in this case the sphere B that has a lower velocity will be the one that will spend the longest time in the air.

an electric motor rotating a workshop grinding wheel at a rate of 103 rev/min is switched off with a constant deceleration of 1.96 rad/s 2 . how long does it take for the grinding wheel to stop? answer in units of s.

Answers

5.45 second  it will take for the grinding wheel to stop an electric motor rotating a workshop grinding wheel at a rate of 103 rev/min is switched off with a constant deceleration of 1.96 rad/s 2

ω1 = 2π(103/60) = 10.7 rad/s

ω2 = 0

α = -1.96 rad/s^2

time t = (ω2 - ω1)/α

= 10.7  / 1.96

= 5.45s

θ = ω1t + (1/2)αt^2

 = 58.31 - 29.12 = 29.21

Generally speaking, deceleration is a decrease in acceleration. When an object's speed decreases with respect to time, it is said to be decelerating. In contrast to acceleration, deceleration involves a negative rate of change in velocity.

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State reason why water spilled on glass surface wets the surface

Answers

Water wets glass and spreads out on it because the adhesive forces between the liquid and the glass are stronger than the cohesive forces within the water.

A ball rolls down a ramp for 15 seconds. If the initial velocity of the ball was 2.1 m/sec and the final velocity
was 7.3 m/sec, what was the acceleration of the ball?

Answers

Answer: a=.347

Explanation: Acceleration can be calculated by subtracting the initial velocity (2.1 m/s) from the final velocity (7.3) and dividing the difference by the time (15s).

[tex]\frac{7.3-2.1}{15} = .347[/tex]

a. A 2.0 kg object is moving to the right with a speed of 1.0 m/s when it experiences the force shown in Figure P9.7a. What are the object's speed and direction after the force ends?

b. Answer this question for the force shown in Figure P9.7b.

Answers

The speed of the object is 3.0m/s and the direction is equal to the direction of its initial velocity.

Given:
mass of the object m=2.0kg
object's constant velocity before the action of the force v0=1.0m/s 

From the graph of the force against time,
we can see that the force is constant (F=8.0N)
and it only acts for Δt=0.5s in the same direction of the object's motion (positive direction, to the right).

Now, using impulse-momentum theorem,
J=Δp
The impulse of the force equals the variation in the object's linear momentum.

In scalar form, along the motion's direction, we can write:
FΔt=Δp

The variation in the linear momentum equals: FΔt=mvf−mv0,
where: vf is the unknown final velocity.
Solving for vf, we have:
vf=8.0N⋅0.5s2.0kg+1.0m/s
= 3.0m/s

The object's velocity after the force ends equals 3.0 m/s, moving to the right.
The force increases the velocity of the object because it acts in the same direction as the initial velocity.

Therefore, the object's speed is 3m/s and the direction is the same direction as the initial velocity.

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Two runners are racing around a cicular track. The first runner is in the inside lane. The second runner is in the outside lane. If the first runner wants to stay side-by-side with the second runner, what does her angular velocity need to be?.

Answers

If the first runner wants to stay side-by-side with the second runner, The angular velocity needs to be the same as they would then cover equal angular distance for a period of time.

An equal angular distance means that it would always be side to side.In order to do this, the first runner needs to run at a faster speed than the second runner. This is because the second runner is running in a larger circle than the first runner, so she covers more ground in the same amount of time. The first runner needs to make up for this by running at a faster speed.

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planet a has mass 3m and radius r, while planet b has mass 4m and radius 2r. they are separated by center-to-center distance 8r. a rock is released halfway between the planets’ centers at point o. it is released from rest. ignore any motion of the planets.

Answers

a. Expression for magnitude of the acceleration is GM/16R² b. magnitude of the acceleration is 1.33 e^-5 ms^-2 .

Because the direction is always shifting, motion on a circle accelerates even while the speed is constant. Both effects add to the acceleration for all other types of motion. It is a vector quantity because acceleration has both a magnitude and a direction. Another vector quantity is velocity. The velocity vector change during a certain period of time, divided by that period of time, is the definition of acceleration. Acceleration requires a change in speed, direction, and rate of change. An object experiences constant acceleration when its velocity changes at the same rate every second. Whether an object is accelerating or decelerating determines the direction of acceleration. The force of gravity causes an item in free fall to fall. An object has positive acceleration when it is going faster than it was previously. Positive acceleration was demonstrated by the moving car in the first scenario. The acceleration is in the same direction as the car's motion since the vehicle is moving ahead and accelerating.

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Specific heat capacities are tabulated in units of j/g⋅k, but most temperature measurements are made in units of celsius. If a system is initially at 5°c and is heated to 10°c, what is the change in temperature in kelvins?.

Answers

The change in temperature in kelvin, given that the system was heated from 5 °C to 10 °C is 278 K

How to determine the change in temperatuer

We'll begin by obtaining the change in temperature in degree Celsius. This can be obtained as follow:

Initial temperature (T₁) = 5 °CFinal temperature (T₂) = 10 °CChange in temperature (ΔT) =?

ΔT = T₂ – T₁

ΔT = 10 – 5

ΔT = 5 °C

Finally, we shall convert 5 °C to unit in kelvin. This can be obtained as follow:

Change in temperature (in °C) = 5 °CChange in temperature (in K) = ?

T(K) = T(°C) + 273

T(K) = 5 + 273

T(K) = 278 K

Thus, from the above calculation, we can conclude that the change in temperature is 278 K

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When air expands it and it is warm outside then the air is ________________________

Answers

When air expands it is warm outside then the air is contracted and becomes cool.

What is air?

The atmosphere of Earth or also known as air is the layer of gases retained by Earth's gravity that surrounds the planet and forms its planetary atmosphere.

When warm air expand,  the molecules heat and move faster makin them to move apart. So we know that air expands when heated and contracts when cooled, the reason for that is because there is more space between the molecules, the air is less dense than the surrounding matter and the hot air floats upward.

Atmospheric convection helps us to understand that as air heats up and becomes less dense, it rises higher into the air. As it reaches higher elevations, it encounters less air pressure. The lower air pressure at higher elevations allows the air to expand even more. As this air continues to expand, it begins to cool down.

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An object weighs 350 N. Find its mass.
Use g = 10 m/s².

Answers

Answer:

Explanation:

Given:

F = 350 N

g = 10 m/s²

___________

m - ?

m = F / g = 350 /  10 = 35 kg

2
When you drop a 0.37 kg apple, Earth ex-
erts a force on it that accelerates it at 9.8 m/s²
toward the earth's surface. According to New-
ton's third law, the apple must exert an equal
but opposite force on Earth.
If the mass of the earth 5.98 x 1024 kg, what
is the magnitude of the earth's acceleration
toward the apple?
Answer in units of m/s².

Answers

The earth's acceleration toward the apple is 6.064×10⁻²⁵ m/s²

What is acceleration?
The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force acting on an object determines the direction of its acceleration. According to Newton's Second Law, the amount of an object's acceleration is the combined result of two causes:

The amount of the net resultant force, which is directly proportional to the sum of all external forces acting on that object;
Depending on the materials used to create it, an object's mass is inversely related to its magnitude.

Force on earth = 0.37×9.8 = 3.626N.

Acceleration of earth = 3.626/5.98×10²⁴ = 6.0635×10⁻²⁵  m/s²

Therefore, The earth's acceleration toward the apple is 6.064×10⁻²⁵ m/s²

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A cow wanders 30 m North, turns 22 degrees right of its original path, and wanders another 40 m. Find its total displacement.

Answers

Answer:OB=58.3m

Explanation:

So here cow wanders 30m in north and turns 22 degrees in right side and moves 40m more, as shown in figure given.

now take the starting point as a origin such that cow moves in x-y co-ordinate axis.

As shown in figure length OA is the length when cow moves in north or y direction. Later she takes 22 degrees turn to right and moves 40m more.

So the final displacement is the length of cow from the origin that is length OB.

now co-ordinates of B are [40cos22°,40sin22°+30] i.e [37.084,44.984]

now displacement of cow= length of OB

                                           = [tex]\sqrt{[37.084]^{2}+[44.984]^{2} }[/tex]

                                           =[tex]\sqrt{3398.78}[/tex]

                                     OB =[tex]58.3[/tex]

                                         

A 900 kg walrus is swimming at a speed of 35 km/hr. What is its kinetic energy?

Answers

42534.7290278 joules

a flatbed truck is carrying a crate along a level road. the coefficient of static friction between the load and the bed is 0.40. the truck accelerates forward and the crate stays in its place on the truck bed. in what direction is the force that the bed exerts on the crate?

Answers

The direction is the force that the bed exerts on the crate Forward.

Friction between the track and the crate holds the crate in place and allows the crate to move with the vehicle. As a result, the crate's frictional force is directed north, in the same direction as the truck's velocity. As mentioned earlier, both the horizontal and vertical forces have a magnitude of 0 so there is no net force on the box. Therefore, the force on the box has no direction.

The net force always has the same direction as the acceleration. For an object in a circular motion with constant velocity, the net force is directed toward the center of the circle around which the object is moving. The frictional force acts on a moving object, and its direction is opposite to the direction of movement. As we walk, our feet are pushed backward so friction works in the opposite direction to counteract the push.

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How should a democratic society define its universe of obligation? __________ _________ compare alternatives using branching technque based on known quantitative data, explicit knowledge and object facts to make a decision. can someone please help solve this math problem with solution? thank u! Here is a linear equation: y = 2/3x + 1 Are (6, 5) and (9, 8) solutions to the equation? Explain or show your reasoning. Question 8 (3.34 points)Which of these are the three main types of networking cables that you willencounter? A .Coaxial cables, Twisted pair cables, Fiber optics cablesB .Coaxial cables, Power Extension Cables, Fiber optics cablesC .HDMI Cables, Power Extension Cables, Fiber optics cables D .Coaxial cables, Power Extension Cables, UV Cablees Anyone explain What is the photography and nature? This is my topic What pattern do you notice in these twomeasurements,10.3 cm and 103 mm? you find a piece of bone that has a 14c/12c ratio that is 1/16 that of the atmospheric 14c/12c ratio. what is the approximate age of the bone? what is one way the vision of primates is different from that of other animals? group of answer choices primates have monochromatic vision. primates have open eye orbits not enclosed by bone. primates have overlapping vision fields. primates have eyes on the side of the head. Marissa is going back to work after taking 10 years off to raise her children. She is starting her job search process and is trying to write a new rsum so that she can apply to jobs. What rsum format should Marissa use?a.Chronologicalb.Functionalc.Webd.Electronic Knowing that death and dying is a natural part of the aging process, which of the following statements is TRUE?A. There are 2 major reactions or stages to death or dying, which have been identified as despair and anchoring.B. People ALWAYS experience each stage related to death and dying.C. Families and friends experience each stage related to death and dying EXACTLY like individuals who are dying experience them.D. Your role is to acknowledge older adults reactions to grief, loss, and death and support them A savings account increases from 200$ to 208$. What is the percent increase of the savings account? What might explain the inconsistencies between real-world prosecutors and those in the movies? Make sure you mention the title and year of the film. im confused help me please which of the following will increase owner's equity on the statement of owner's equity? a.owner's withdrawals, net loss b.owner's investments, net income c.owner's withdrawals, net income d.owner's investments, net loss HELP ME!!!!!One interior angle of a triangle is 95.5, and the other two interior angles are congruent. What is the degree measure of one of the congruent angles? 42.25 47.75 84.5 90 the vertices of PQR are P(-5,1), Q(-4,6), and R(-2,3), graph P"Q"R" after a composition of the transformations in the order they are listed. A dramatization of one part of Thomas Putnams backstory that has a beginning,middle and end. ??? INSTANT HELP PLEASE PLEASE PLEASE the suffix -al, what does it mean to be musical?