A detailed graph of angular velocity versus time is shown. What is the angular displacement, in radians, during the time interval from 0.75 s to 14.2 s?

Answers

Answer 1

0.116 rad/s is the angular speed in radians, during the time interval from 0.75 s to 14.2 s

ω=Δθ/Δt

Δθ= 90° = 1.571rad

Δt=13.45

ω=1.571/13.45

ω=0.116 rad/s

The rate of change of angular displacement, or the angle a body travels along a circular path, is the definition of angular speed. Calculating angular speed involves dividing the quantity of rotations or revolutions made by a body by the amount of time required. Omega is a Greek letter that represents angular speed. The SI's angular speed unit is rad/s.

As is well known, angular speed is determined by dividing the rate of displacement change by the time. As a result, the angular speed equation is = /t. Despite the procedure stated above, a different and more well-liked formula is used to determine angular speed in competitive testing. As ω = θ/t

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Related Questions

A tank with a flat bottom is filled with water to a height of 7.5 meters. What's the pressure at any point at the bottom of the tank?

Answers

A tank with a flat bottom is filled with water to a height of 7.5 meters. The pressure at any point at the bottom of the tank will be 174825 Pascal

Pressure at the flat bottom will be = Po + P(h)

Po = atmospheric pressure

P(h) = Pressure due to water

density of water = rho = 1000 kg / [tex]m^{3}[/tex]

Pressure at the flat bottom will be = 101325 Pa + 1000 * 9.8 * 7.5 = 174825 Pascal

The pressure at any point at the bottom of the tank will be 174825 Pascal

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An Air Force jet flying with a speed of 335 m/s went pass an anti aircraft gun.how far is the aircraft 5s later when the gun was fired

Answers

The aircraft after 5s later when the gun was fired was at a distance of 1675m flying with a speed of 335m/s.

Air force jet was flying with a speed of 335m/s and at that time gun was fired by anti aircraft.

The formula of speed is S= distance(d)/time(t)

The unit of distance is in meters,

Speed is in meter/second

Time is in seconds

Substituting the values given in this equation

335m/s= d/5s

d= 335*5

d= 1675m

Thus, after 5 seconds from the gun fired by anti aircraft, the airforce jet will be 1675m far.

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what happens to the reflection when it hits the triangular prisms? the reflection is from air to glass. critical angle=42° please help me i need it right now:( ​

Answers

Answer: TIR (total internal reflection) occurs

Explanation: TIR occurs because the angle of refraction reaches a 90-degree angle before the angle of incidence reaches a 90-degree angle. The only way for the angle of refraction to be greater than the angle of incidence is for light to bend away from the normal. Since light only bends away from the normal when passing from a more dense medium into a less dense medium, then this would be a necessary condition for total internal reflection.

I agree with this tip comment I have solved this equation and I have gotten what the top comment says

Find the resultant force of 16N and the force of 25N acting at the same point on an object if the Force at : (1) In the same direction in the same line. (11) In the opposite direction but in the same straight line. (111) At right angles to each other.​

Answers

1 ) Resultant force if the forces act in the same direction = 41 N

2 ) Resultant force if the forces act in the opposite direction = 9 N

3 ) Resultant force if the forces act at right angles to each other = 29.68 N

F1 = 16 N

F2 = 25 N

1 ) If the forces act in the same direction,

F = F1 + F2

F = 16 + 25

F = 41 N

2 ) If the forces act in the opposite direction,

F = F2 - F1

F = 25 - 16

F = 9 N

3 ) If the forces act at right angles to each other,

F² = F1² + F2²

F² = 16² + 25²

F² = 256 + 625

F² = 881

F = 29.68 N

Therefore,

1 ) F = 41 N

2 ) F = 9 N

3 ) F = 29.68 N

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What role does fiction play in sport of your choice? Collect one picture of that sport in action where friction either supporting it or opposing it​

Answers

Supporting friction:
1) Cycling - the friction between the tires and the road are necessary for the bike to function

2) Running - the friction between the athlete's feet and the ground surface is necessary otherwise the runner would fall over

3) Swimming - the friction in the water is required for the swimmer to be propelled forward
-

Opposing friction

1) Swimming - the friction makes it more difficult for the swimmer to swim very fast

2) Bobsleigh - the aim is to go as fast as possible but the friction between the bottom of the sleigh and the ice slows it down

3) Diving - the friction between the diver and the water creates wasted Kinetic energy and sound energy whereas the aim is to be as streamlined as possible

A 50.0-kilogram cheetah has a kinetic energy of 18000J How fast is the cheetah running ? ( Hint : Rearrange the equation to solve for v .)
I found that people say it’s 36 but there is no explanation for it

Answers

Answer:

Explanation:

here take kinetic energy =1/2×m×v²

m=50.0-kilogram (given)

kinetic energy=18000J (given)

now by taking the given values we get v²=(2×18000)/50

⇒v²=720

⇒v=26.8328m/s

done!

In a series connection, three lamps are available L(1), L(2) and L(3). If we take out the L(3) bulb, what happens to each of the other bulbs?
Helpp :'v​

Answers

Hello..!

¿What is a series circuit?

A series circuit is a connection configuration in which the terminals of devices are connected successively, that is, the output terminal of one device is connected to the input terminal of the next device.

Problem:

In a series connection, three lamps are available L(1), L(2) and L(3). If we take out the L(3) bulb, what happens to each of the other bulbs?

If we put two lamps in a series circuit, the following can be obtained: the voltage that enters the first lamp will go out in the second lamp, that is, if we have a switch and we turn the lamps on and off, they will light up together.If we have a circuit of three lamps, the same thing happens.If the L(2) bulb burns out or we take it out, what will happen is that there will not be enough voltage for the L(1) and L(3) bulbs and that means these two bulbs will not work. If we remove the lamp L(1), not enough voltage passes to the lamp L(2) and it is not enough for the L(3), because the lamp L(2) shares voltage with the L(2)If we remove the lamp L(3) we can turn off the lamp L(2) and L(1) as there is not enough voltage to turn them on.

Why does it happen?

This is because the battery voltage is divided between the components, which will therefore have a lower voltage than the battery. This means that the lamps light less when they are in series.

The answer is that if we remove the L(3) lamp, the others stop working.

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[tex]\begin{gathered}\rule{7cm}{0.01mm}\\\texttt{Bons estudos! :D}\\\rule{7cm}{0.01mm}\end{gathered}[/tex]

Answer:

This is because the battery voltage is divided between the components, which will therefore have a lower voltage than the battery.

Hope this helped

function of a transformer in electrical circuits​

Answers

Explanation:

There two types of transformers which are mainly stepup and step down transformers

the former is used for increasing voltage while the latter is used for reducing voltage

A falling object with a mass of 2.55 kg encounters 4.0 N of air resistance. What is the acceleration of the object? (Choose up to be the positive direction, and remember the definition of weight).

Question 9 options:

a)

-21 N


b)

-241.0 m/s2


c)

-21.0 m/s2


d)

-8.2 m/s2


e)

8.2 m/s2

Answers

The acceleration of the falling obeject of mass 2.55 kg is  -8.2 m/s². And the right option is d) -8.2 m/s².

What is acceleration?

This can be defined as the rate of change of velocity.

To calculate the acceleration of the object, we use the formula below.

Formula:

a = (R-mg)/m............. Equation 1

Where:

a = Acceleration of the objectm = Mass of the objectR = Air resistanceg = Acceleration due to gravity.

Note: Taking forces acting upward to be positve and downward force to be negatove,

From the question,

Given:

R = 4 Nm = 2.55 kgg = 9.8 m/s²

Substitute these values into equation 2

a = [4-(2.55×9.8)]/2.55a = -20.99/2.55a = -8.2 m/s²

Hence, The acceleration of the object is -8.2 m/s².

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A child throws a piece of candy corn directly up with an initial velocity of 3.8 m/s. If the starting height of the candy was 2.2 meters, what will be the height of the candy after 0.3 seconds? Use a = -9.8m/s/s

Answers

Answer:
2.89855 meters

Steps:
Let’s use the
Δx = Vi * t + 1/2 * a * t^2
Δx is short for change in position therefore

Xf - Xi = Vi * t + 1/2 * a * t^2

We are given the initial position, initial velocity, acceleration, and time.

Let’s solve for final position (Xf).

Xf - 2.2 = 3.8 * 0.3 + 1/2 * -9.81 * 0.3^2
Xf - 2.2 = 1.14 + 1/2 * -9.81 * 0.3^2
Xf - 2.2 = 1.14 + -4.905 * 0.09
Xf - 2.2 = 1.14 + −0.44145
Xf - 2.2 = 1.14 - 0.44145
Xf - 2.2 = 0.69855
Xf = 0.69855 + 2.2
Xf = 2.89855

Interpret information to make judgment.
The teacher is showing the class an experiment using a radioactive source. She insists on these safety precautions
a) No students may sit in the front row
b) The radioactive source is kept in a lead box when not in use.
Explain why each of these precautions is important.

Answers

These precautions are important to avoid radiation effects. Lead is powerful in shielding nuclear substances because of its physical residence.

It is dense and difficult, which means it is able to block x-rays and gamma rays from penetrating thru the cloth. whilst these radioactive waves touch the steel, they collide with the lead atoms and get dispersed

Lock radioactive stock materials and sealed assets in a secured box or a secured storage vicinity when not in use. A stock fabric is a radioactive material as provided by using the vendor and does no longer include material withdrawn from the original inventory for experimental use.

You must generally hold radioactive resources, along with any radioactive waste that's in the garage, in suitable boxes internal an appropriate store to defend against unintended harm or loss and to guard employees and the majority.

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I'm stuck on b(i), because I don't understand what equation to use with what values.

Answers

Answer:

Apparently, it takes 3 * 5E-3 sec to travel from D to G

The distance is given as .68 m

V = S / t = .68 m / (3 * 5E-3 s) = 45 m/s

A plane is flying to Minnesota with a velocity of 373.52 km/h, N. The plane encounters a crosswind with a velocity of 64.90 km/h, W. What is the magnitude of the resultant velocity of the plane?

Answers

Answer:

  379.12 km/h N 9.86° W

Explanation:

You want to know the resultant velocity when a plane's velocity of 373.52 km/h N is modified by a crosswind at 64.90 km/h W.

Vector sum

In (N, E) coordinates, the sum of the velocities is ...

  (373.52, 0) +(0, -64.90) = (373.52, -64.90)

The magnitude of this vector is ...

  |v| = √(373.52² +64.90²) ≈ 379.12 . . . . km/h

The direction will be west of north by the angle ...

  θ = arctan(-64.90/373.52) ≈ -9.86° . . . . . . N = 0°, + = clockwise

The resultant velocity is 379.12 km/h N 9.86° W.

A hiker walks due East for a distance of 6 km

from her base camp. On the 2nd day, she covered
8km, North. On the 3rd day she walks for 4 km
South and found a cave. Determine her resultant
displacement between the base camp and the
cave.

Answers

Resultant displacement between the base camp and the cave will be 7.211 km

Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

Her resultant displacement can be calculated using Pythagoras theorem

[tex]H^{2} = P^{2} + B^{2}[/tex]

     = [tex]4^{2} + 6^{2}[/tex]

     = 52

H = [tex]\sqrt{52}[/tex] = 7.211 km

Resultant displacement between the base camp and the cave will be 7.211 km

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a spiral spring loaded with a piece of metal extends by 9.4cm. when the metal is fully immersed in water, the spring extends by 3.5cm. assuming Hooke's law is obeyed, calculate the relative density of the metal​

Answers

The relative density of the metal that is on a spiral spring which extends 9.4 cm in air and 3.5 cm in water is 1.59

RD = Weight of body in air / Upthrust

RD = Relative density

F = - k x

F = Spring force

k = Spring constant

x = Displacement

RD = - k ( 9.4 ) / - k ( 9.4 - 3.5 )

RD = 9.4 / 5.9

RD = 1.59

Relative density is the ratio of density of the substance to the density of the reference material. Density is the ratio of mass to volume. The unit of density is kg / m³. Relative density has no unit since it is density divided by density.

Therefore, the relative density of the metal​ is 1.59

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If is the angle between and the perpendicular is 90 then the lines of forces are O a. Not sure O b. Zero O C. Maximum O d. None of the above. ​

Answers

If the angle between displacement and force is 90° then the lines of force are zero. The correct option to this question is B.

The work completed is zero if there is a 90 degree angle between the force and the displacement.A scalar quantity, such as work, has simply magnitude and no direction.W= F×s or W= F×scosФ, which stands for "done," is the scalar product of force and displacement.Since cos90° has a value of 0, everything multiplied by 0 also has a value of 0.Because of this, when the angle between the force and the displacement is 90, we say that work is complete. ​

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What is the gravitational force acting on a 70.0 kg object standing on the Earth’s surface?
The radius of the earth is 6.371 x 106 m and the mass is 5.972 x 1024 kg.

Answers

The gravitational force acting on a 70.0 kg object standing on the Earth’s surface is 687.37N

What is gravitational force ?

A mass attracts a mass; the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects. Gravitational force is an attractive force that exists between all objects with mass.

The square of the distance between two things has an inverse relationship with the force of gravity, which depends directly on the masses of the two items. Accordingly, the force of gravity increases with mass but decreases as object distance increases.

F = G (M*m) /r2

F =  6.674×10−11 * 5.972*10^24*70/ (6.371*10^6)^2

  = 687.37N

F = gravitational force

G = gravitational constant

m = mass of the body

M = mass of the earth

r = distance between them

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16) What is the acceleration of the ball on its way up?
a) 0m/s
b) 8m/s
c) -9.81m/s^2
d) +9.81m/s

Answers

The acceleration of the ball on it way up is -9.81m/s².

The correct option is C)

What is acceleration?

This is the rate of change of velocity with respect to time. The speed and direction of the accelerating object are also very important. It unit is meters per second square, m/s².

What is Gravity?

This is the force that pulls a body toward the center of the earth. This force causes objects to fall freely. This free-falling object has an acceleration of 9.8m/s downward the earth. This is called acceleration gravity.

What is velocity?

This refers to the speed at which an object moves in a given direction. It unit is meters per second, m/s.

Recall that the direction of motion is assumed to be the positive direction. Other parameters depend on the direction of motion. Hence for upward acceleration, the direction of motion is positive but the acceleration due to gravity is negative because the direction is downwards.

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Does Monera move?

20 points

Answers

The Monera kingdom includes organisms that move in a variety of ways, such as rotating on axial filaments, gliding on secreted slime, or using their flagella.

Answer:

Prokaryotic Bacteria

Explanation:

When a fast electron (i.e., one moving at a
relativistic speed) passes by a heavy atom, it
interacts with the atom's electric field. As a result,
the electron's kinetic energy is reduced; the
electron slows down. In the meantime, a photon of
light is emitted. The kinetic energy lost by the
electron equals the energy E., of a photon of
radiated light:
E,= K-K',
where K and K' are the kinetic energies of the
electron before and after radiation, respectively.
This kind of radiation is called bremsstrahlung
radiation, which in German means "braking
radiation" or "deceleration radiation." The highest
energy of a radiated photon corresponds to the
moment when the electron is completely stopped.

Part A
Given an electron beam whose electrons have kinetic energy of 9.00 keV, what is the
minimum wavelength Lambdamin of light radiated by such beam directed head-on into a lead
wall?
Express your answer numerically in nanometers.

Answers

The correct answer of minimum wavelength Lambdamin of light radiated is 1.3777 x 10 ^-2 m.

What is bremsstrahlung radiation?

Bremsstrahlung, also known as "braking radiation" or "deceleration radiation," is electromagnetic radiation that is produced when a charged particle decelerates when it is deflected by another charged particle. This is commonly an electron by an atomic nucleus.

The energy of the photon is given by:

E=hν=hcλE=hν=hcλ

Here

• h=6.63⋅10^−34 J⋅s=6.63⋅10^−34 J⋅s is the Plank's constant and c is the speed of light and λ is the wavelength

λ= hc/E = 4.136×10−15 eV·s (2.998x10^8 m/s)/10^4 eV

= 4.136×10^−15 eV·s (2.998x10^8 m/s)/9^4 eV = 1.3777 x 10 ^ (8-15-4) = 1.3777 x 10 ^-11 m

= 1.3777 x 10 ^-2 m

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A car of mass 500 kg is moving at a speed of 1.2m/s. A man pushes the car increasing the speed to 2 m/s. How much work did the man do

Answers

Answer:

Work:

A = 640 J

Explanation:

Given:

m = 500 kg

V₁ = 1.2 m/s

V₂ = 2.0 m/s

____________

A - ?

The work is equal to the change in the kinetic energy of the car:

A = Δ Wk

A = m·V₂² / 2 - m·V₁² / 2

A = (m/2)·(V₂² - V₁²)

A = (500/2)·(2² - 1.2²) = 640 J

Pls draw me what a velocity time graph would look like : moving at a positive constant speed to then at rest? Thank you!!!

Answers

Answer:

See below

Explanation:

Here are a couple of options..... one where the object slows to a rest and the other where the object stops to a rest instantaneously

Which of the following courses might a mechanical engineer take in college?


Agriculture Operations

Organic Chemistry


Ethics in Sustainable Agriculture

Molecular Biology

Answers

The course to be likely taken by a mechanical engineer in college is agriculture operations (option A).

What is engineering?

Engineering is application of mathematics and the physical sciences to the needs of humanity and the development of technology.

Mechanical engineering is a subfield of engineering concerned with designing and building machines and mechanical systems.

A mechanical engineer is an individual who specialises in the field of mechanical engineering. This means that a mechanical engineer is expected to be vast in the knowledge of designing and building machines for operations in other fields.

One of those fields that a mechanical engineer can build or design machine for is agriculture. Therefore, agriculture operations is the most likely course to be taken by a mechanical engineer in college.

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Answer:  The correct answer is Agriculture Operations

Explanation:  This answer has been confirmed correct.

Mechanical engineers work with equipment and automation, in areas such as agricultural operations. In contrast, they do not typically work with chemistry, ethics, or molecular biology.

An object with a mass of 33g and a volume of 39cm^3 is placed in a liquid with a density of 1.25 g/cm^3. Find the volume of the part of the object that is NOT submerged in the liquid. Give your answer in cm^3 and with 3 significant figures.

Answers

Answer:

V₂ = 12.6 cm³ -  volume of the NOT immersed part:

Explanation:

Given:

m = 33 g

V = 39 cm³

ρ = 1.25 g/cm³

____________

V₂ - ?

Gravity:

F = m·g

Strength of Archimedes:

Fa = ρ·g·V₁

V1 - the volume of the submerged

The object is floating, so:

F = Fa

m·g = ρ·g·V₁

m = ρ·V₁

V₁ = m /  ρ = 33 / 1.25 ≈ 26,4  cm³

V₂ - volume of the NOT immersed part:

V₂ = V - V₁ = 39 - 26.4 = 12.6 cm³

Water drips from rest from a leaf that is 12.0 meters above the ground. Neglecting air
resistance, how long does it take the water drop to hit the ground? What is the speed of
each water drop when it hits the ground?

Answers

Speed of the drop will be 15.4919m/s

Given :- g =10m/s²

u=0

s=12

v²-u²=2as is the formula to be used.

v²=u²+2as

v²=2 x 10 x 12

=240

v=√240 m/s

=15.4919m/s

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does the current stays the same throughout in a parallel circuit

Answers

Answer:

When the current splits, the current in each branch after the split adds up to the same as the current just before the split.

No, the current is not constant across the entire parallel circuit.

The circuit is known to be divided into branches by the parallel connection. Consequently, those branches are formed from the total current.

A parallel circuit may have one or more branches. The total current splits into its corresponding branches as soon as it enters one. Less current flows through the branches than across the entire system. The branch resistance affects the branch current values. In parallel circuits, the current is therefore different. All components in a parallel arrangement share the same voltage.

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Find the wave length of 100.2khz

Answers

The wavelength of a wave with frequency of 100.2Khz is 2.99 × 10³m.

How to calculate wavelength?

Wavelength is the length of a single cycle of a wave, as measured by the distance between one peak or trough of a wave and the next.

The wavelength is often designated in physics as λ, and corresponds to the velocity of the wave divided by its frequency as follows:

λ = v/f

Where;

λ = wavelengthv = velocityf = frequency

According to this question, the frequency of a wave is 100.2KHz, which is equivalent to 1.002 × 10⁵Hz.

λ = 3 × 10⁸ ÷ 1.002 × 10⁵

λ = 2.99 × 10³m

Therefore, 2.99 × 10³m is the wavelength of the wave.

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1.- A car travels 10.0 km due north, then 8.00 km due east in 30.0 minutes. Find the
car's
Distance.
Displacement (indicate the angle too)
Average speed
Average velocity

Answers

(a)The displacement of the car is 12.8m

(b)The average speed is 10.0 m/s.

(c)The average velocity is 7.11 m/s.

What is displacement and distance?

Distance is the real distance an object has traveled. The shortest distance between an object's initial and final positions is called displacement. It has a scalar value. A vector quantity, that is. An body can never travel a distance of zero.

Briefing:

a. The vector sum of the different displacements yields the overall displacement. The Pythagorean theorem provides the vector sum since these displacements are perpendicular.

x2 = (10.0 km)² + (8.00 km)²

x = 12.8 km.

The angle is found using

tan q = (10.0 km/8.00 km)

q = 51.3° N of E.

b. Avg. Speed = Distance/Time = (18.0 km/30.0 min)(1000 m/1 km)(1 min/60 s) = 10.0 m/s.

c. Avg. Velocity = Displacement/Time = (12.8 km/30.0 min)(1000 m/1 km)(1 min/60 s) = 7.11 m/s.

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The complete question is -

A car travels 10.0 km due north, then 8.00 km due east, the total trip taking 30.0 minutes. Find (a) the displacement of the car, (b) the average speed (in m/s), and (c) the average velocity (in m/s).

In Graph C above, which line(s) shows an object that has a constant
velocity?

Answers

C and D because it remains constant gradient

Answer:

it's D that has a constant velocity

If you are told an image has been made by a single optic that has a positive focal length, which is true?

Answers

If you are told an image has been made by a single optic that has a positive focal length, The options that are true are:

The image is real. (Option A)

The image is virtual. (Option B)

The image has a positive image distance. (Option C)

The image has a negative image distance. (Option D)

The image is inverted. (Option E)

The image is upright.(Option F)

The image was made with a converging optic. (Option G)

The image was made with a diverging optic. (Option H)

If the optic is a lens, it is convex. (Option I)

If the optic is a mirror, it is convex. (Option K)

What is Focal Lenght?

The focal length of an optical system is the inverse of the system's optical power; it measures how strongly the system converges or diverges light.

A system with a positive focus length converges light, whereas a system with a negative focal length diverges light.

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Full Question:

If you are told an image has been made by a single optic that has a positive focal length, which is true?

a. The image is real.

b. The image is virtual.

c. The image has a positive image distance.

d. The image has a negative image distance.

e. The image is inverted.

f. The image is upright.

g. The image was made with a converging optic.

h. The image was made with a diverging optic.

i. If the optic is a lens, it is convex.

j. If the optic is a lens, it is concave.

k. If the optic is a mirror, it is convex.

l. If the optic is a mirror, it is concave.

Other Questions
the chief of police in statville wanted to estimate the number of people above the age of 181818 who are using illegal substances in town. he obtained 200200200 random names of statville residents from a computer database and sent his officers to survey these people about substance abuse. once the results came in, he calculated the margin of error and got an estimate of the percentage of residents who use illegal substances. what type of statistical study did the chief of police use? Describe how to improve the function of the cell membrane he weight of a body is 50N. how much force is needed to move it vertically upward with 5ms-2 acceleration some species of pathogenic bacteria are able to attack specific cells in the human body due to structures called The definition of food needed by humans and animals is Please help!!(this is Rutherford's Black box experiment and atoms)- please answer all the questions in full sentences :D- do not answer "i'm not sure" on here.1) Suppose the marble usually rolled right to the end of the box without bouncing off anything, what would this tell you about the size of the targets?2) What conclusions did Rutherford draw from his data and how did the data change the model of the atom?3) Niels Bohr was a student of Rutherford, Bohr's work went on to modify the atomic model even more. What changes did Bohr make to advance our understanding of the atom? Three of the 30 computers are out of service. What percent of the computers are not working? I dont understand, please help Solve for j ?????????????????????????? given: line 1 passes through (-3, -7) and (5,3) Line 2 passes through (-4, -2) and is perpendicular to line 1 -2x+5=23 what is x i dont know how to find it in the maturity stage of the industry life cycle a. the product has reached full potential. b. profit margins are narrower. c. producers are forced to compete on price to a greater extent. d. a and b only. e. a, b, and c. the general services administration (gsa) is a central management agency of the u.s. federal government that: I (O,6), J (-1,1)Help me find the slope please Two cars are traveling in the same direction. the first car is going 40 mi/h and the second car is going 55 mi/h. the first car has a 120 mile head start. which equation could you solve to find how many hours it will take for the second car to catch up to the first car? 5y=15x+10 but in standard form? PLEASEEE HELPPPFind ALL missing angles.will give brainly using a z-table like the one found in lectures, or a z-score calculator, approximately what is the probability of randomly drawing a value greater than 3.0 from a z-distribution? question 3 options: .9995 4). $1,200, 3.9%, 8 months Based on your knowledge of social studies, what was the purpose of this message? Group of answer choices General George Washington was asking Congress to give him more supplies during the Revolutionary War. President James Madison was asking Congress for a declaration of war against the British prior to the War of 1812. General Andrew Jackson was asking for congressional authority to attack the British prior to the Battle of New Orleans. President Thomas Jefferson was asking for congressional authority to defend US merchants from the Barbary pirates