What are the conditions necessary for a terrestrial planet to have a strong magnetic field?.

Answers

Answer 1
Both a molten metallic core and reasonably fast rotation.

Related Questions

3. Three lightbulbs are connected in a series. A switch is placed between the first lightbulb and the second lightbulb. If that
switch is opened, what happens to each of the three lightbulbs?
Please help explanation

Answers

In series connection the current flow remains constant

If switch is placed between first and second lightbulbThen if it's turned on. the three bulbs will be lighted up with same current
the circuit will be open if the switch is opened. therefore no electric current would flow through the series and the lightbulbs wont turn on

What is current of 12 ohm? help me pleasee
1. 0.25 A
2. 0.5 A
3. 1 A
4. 1.5 A
5. 2 A​
please show solution.

Answers

Answer:

the current is 5.2 Amps

=> The square on top is 6 in parallel with 3. That's 2 ohms.
=> Now across the top we have 2 in series with 1. That's 3 ohms across the top.
=> Now, around the outside, we have the battery and 3 ohms in series with the 12 ohmer. That's 30 volts across 15 ohms. The current all around is (30/15)= 2 Amps. (Choice #5.)

a car of mass 850kg hits a crash barrier at a speed of 30m/s . the car stops in 0.4s.calculate the force of the car.​

Answers

Given :- Mass of Car = 850 kginitial speed,u = 30 m/sTime span in which car stop = 0.4 s

To Find :-force on car

Solution:-

During the collision an impulse is created which due to which is equal to change in momentum.

Mathematically,

[tex]\green{ \underline { \boxed{ \sf{Impulse, F\times t = m (v-u) }}}}[/tex]

where

F = forcet = time span m = massv= final speedu = initial speed

Now,

[tex]\begin{gathered}\\\implies\quad \sf F \times 0.4 = 850 \times (0-30) \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf F \times 0.4 = 850 \times -30 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf F = -\frac{25500}{0.4} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf F = -63750 N \\\end{gathered} [/tex]

[tex]\quad\quad\quad\quad\quad\quad[/tex](-ve sign denotes opposite direction)

Therefore, a force of 63750 Newton will act on the car in opposite direction.

Please Help Me!

A boy holds a toy soldier in from of a concave mirror. The focal length of the mirror is 0.45 m and the boy holds the toy soldier at a distance of 0.25m from the mirror. Find the image distance.

Answers

The image distance when a boy holds a toy soldier in front of a concave mirror, with a focal length of 0.45 m. is -0.56 m.

What is image distance?

This is the distance between the image formed and the focus when an object is placed in front of a plane mirror.

To calculate the image distance, we use the formula below.

Formula:

1/f = 1/u+1/v........... Equation 1

Where:

f = Focal length of the mirrorv = Image distanceu = object distance

From the question,

Given:

f = 0.45 mu = 0.25 m

Substitute these values into equation 1 and solve for the image distance

1/0.45 = 1/0.25 + 1/v2.22 = 4+1/v1/v = 2.22-41/v = -1.78v = 1/(-1.78)v = -0.56 m

Hence, The image distance is -0.56 m.

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7. Why are cooking pans made of aluminum? {Explain using the specific heat value of
aluminum} it conducts heat well high thermal energy

Answers

Cooking utensils, such as pots, pans and menu trays, are often made from aluminium because it is lightweight and conducts heat well, making it energy-efficient for heating and cooling. These properties also make it a preferred material for packaging.

With a class 1 lever, does mechanical advantage increase or decrease as the fulcrum is moved closer to the load? Explain why. ​

Answers

Answer:

L1 F1 = L2 F2   explains balancing torques

F1 = load = counterclockwise torque

F2 = applied force - clockwise torque

L represents distances from fulcrum to the applied forces

F2 = F1 * (L1 / L2)                (I)

MA mechanical advantage = (L2 / L1)     load over applied force

We can rewrite equation (I) as

load force / applied force = applied distance / load distance

As the fulcrum is moved closer to the load L1 decreases and L2 increases which corresponds to an increase in MA

A car of 15 kg is traveling on a circular track. If the radius of the track is

7. 8 m and the period is 8. 5 seconds, what's the centripetal force on

the car? (Round to the nearest hundredth)

Answers

The magnitude of the centripetal force on the car is 69.6 N.

What is centripetal force?

This is a force acting on a body in circular path and it is directed to the center around which the body is moving.

To calculate the centripetal force on the car, we use the formula below.

Formula:

F = m(4π²/t²)........ equation 1

Where:

F = Magnitude of the centripetal force on the car, m = mass of the cart = time

From the question,

Given:

m = 15 kgt = 8.5π = 3.14

Substitute these values into equation 1

F = 15(4×3.14²/8.5²)F = 69.6 N

Hence, the magnitude of the centripetal force on the car is 69.6 N.

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Imagine that you are a circus performer riding a uni-cycle (forwards) across the stage. What is the direction of the angular velocity of the single wheel?

Answers

The direction of the angular velocity of the single wheel is the clockwise direction

Angular velocity

The angular velocity is the number of revolutions per second of the single wheel. It is given by ω = v/r where

v = linear speed of the wheel and r = radius of the wheel.Direction of the angular velocity of the single wheel

Since the wheels moves forward and the velocity of the wheel is always tangential to the wheel causing it to move forward, its angular velocity is in the clockwise direction

So, the direction of the angular velocity of the single wheel is the clockwise direction

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The angular velocity is also known as the rotational velocity. The direction of the angular velocity of the single wheel is clockwise.

What is angular velocity?

The angular velocity or rotational velocity, also known as the angular frequency vector, is a vector measure of rotation rate that relates to how fast an item spins or revolves relative to another point, i.e. how quickly the angular position or orientation of an object changes with time.

[tex]\omega = \dfrac vr[/tex]

where v is the velocity and r is the radius.

The Direction of angular velocity is that the wheel goes forward and the velocity of the wheel is always tangential to the wheel, forcing it to move forward, therefore, the angular velocity is clockwise.

Hence, the direction of the angular velocity of the single wheel is clockwise.

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A 1.2-kg hot iron sphere with heat capacity
576 J °C-1 is cooled by immersing it in a tank of
water (Fig g). (See the photo that I uploaded)The mass of the water is 3 kg and
its initial temperature is 12 °C. After 5 minutes,
both the iron sphere and the water reach a final
temperature of 15 °C.

(a) Find the energy gained by the water.
(b) Find the average rate of energy transfer from
the iron sphere to the water.
(c) What is the initial temperature of the iron
sphere?

Answers

Given the data from the question, the heat gained by the water, the rate of energy transfer and the initial temperature of the iron are:

A. The energy gained by the water is 37656 J

B. The average rate of energy transfer from

the iron sphere to the water is 125.52 J/s (Watts)

C. The initial temperature of the iron

sphere is 65.4° C

A. How to determine the heat gained Mass of water (M) = 3 Kg = 3 × 1000 = 3000 gInitial temperature (T₁) = 12 °C Final temperature (T₂) = 15 °Change in temperature (ΔT) = 15 – 12 = 3 °C Specific heat capacity (C) = 4.184 J/gºC Heat (Q) =?

Q = MCΔT

Q = 3000 × 4.184 × 3

Q = 37656 J

B. How to determine the rate of energy transfer Heat (Q) = 37656 JTime (t) = 5 min = 5 × 60 = 300 sPower (P) =?

Power = energy / time

Power = 37656 / 300

Power = 125.52 J/s (Watts)

C. How to determine the initial temperature of the iron Mass of iron (M) = 1.2 Kg = 1.2 × 1000 = 1200 gHeat capacity (C) = 576 J/ºC Heat (Q) = 37656 JTemperature (T) =?

Q = CT

37656 = 576 × T

Divide both side by 576

T = 37656 / 576

T = 65.4° C

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Phys-1A Horizontal Practice 2
Ground-to-Ground Equations
Horizontal Equations
Vicos
Vertical Equations
sin
ay earth).-9.8 m/s
Horizontal Launch Equations
Horizontal Equations
Vertical Equational
Velocity-as-Hits:
wv * , te
Use. Pythagorean Range
and tan (9)
Show work/use units !!
1. For each problem, solve for "?" and "?", and Velocity-as-it-Mits. Circle your final answers with units.
2.26, 226, 24.3 65.7
Vf, V+ay.t
wh25
V4.0
(Pythag. +
7+17,
tan
Velocity-as-Hits -
2. For each problem, solve for "7" and "?", and Velocity-as-it-Hits Circle your final answers with units.
2.02,742, 21.1 69.5
W.77
VF, VI+ ayt
VF,
Mercede
(Pythag.+ v
tan
Velocity-as-Hits -

Answers

So basically you, then, finally, you

10. Wet-cell and Dry-cell batteries have _______ current.

A. Direct
B. Alternating
C. Series
D. Parallel

Answers

Answer:

A

Explanation:

Direct because it's still passes electricity through ir

The electrical loads in _____ circuits each have the same voltage drop, with equals the total applied voltage of the circuit.

Answers

Answer:

The electrical loads in parallel circuits each have the same voltage drop, with equals the total applied voltage of the circuit.

Explanation:

I did some research and the voltage drop across any branch of a parallel circuit is the same as the applied voltage.

A 5.0-newton force could have perpendicular components of

Answers

Answer:

It can have many set of perpendicular component but the most important one is 3 AND 4

Explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Before beginning an experiment, mrs. wilson warns her science class not to drop the bar magnets on the floor. what is the most likely reason for mrs. wilson’s warning? the magnet might lose its magnetism. the magnet might make a startling noise. the magnet might become stuck to the floor. the magnet might cause the floor to become magnetic.

Answers

The most likely reason for Mrs. Wilson's warning will be the magnet might lose its magnetism.

What is magnetism?

Magnetism is a component of the larger phenomena of electromagnetic. The most well-known effects occur in ferromagnetic materials,

Which are highly attracted by magnetic fields and maybe magnetized to become permanent magnets, hence creating magnetic fields. It is also feasible to demagnetize a magnet.

We should not drop a magnet on the floor since magnets progressively lose magnetism and grow weak over time if they are not properly preserved.

Hence this is most likely the reason for Mrs. Wilson's warning will be the magnet might lose its magnetism.

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Answer:

The correct answer is A!

Explanation:

~Hope this helps! :)

A solid sphere is released from the top of a ramp that is at a height
h1 = 2.20 m.
It rolls down the ramp without slipping. The bottom of the ramp is at a height of
h2 = 1.87 m
above the floor. The edge of the ramp is a short horizontal section from which the ball leaves to land on the floor. The diameter of the ball is 0.14 m.
a.) Through what horizontal distance d, in meters, does the ball travel before landing?
b.) How many revolutions does the ball make during its fall?

Answers

Hi there!

We can use the work-energy theorem and apply it to this situation.

At the top of the ramp, the ball only has gravitational potential energy, and at the bottom of the ramp, the ball has BOTH translational and rotational kinetic energy.

We must use the following equations:
[tex]GPE = mgh \\KE_T = \frac{1}{2}mv^2\\\\KE_R = \frac{1}{2}I \omega^2[/tex]

m = mass of sphere (kg)
g = acceleration due to gravity (m/s²)

h = height of ramp (m)

v = final velocity (m/s)
I = Moment of Inertia (kgm²)

ω = angular velocity (rad/sec)

Since:
[tex]E_i = E_f\\\\mgh = \frac{1}{2}mv^2 + \frac{1}{2}I\omega ^2[/tex]

In order to make things easier, since the ball is not slipping, we can relate angular velocity to translational velocity:
[tex]\omega = \frac{v}{r}[/tex]

Also, recall the equation for the moment of inertia for a solid sphere:
[tex]I = \frac{2}{5}mr^2[/tex]

We can use these to simply our equation:
[tex]KE_R = \frac{1}{2}(\frac{2}{5}mr^2)(\frac{v}{r})^2 = \frac{1}{5}mv^2[/tex]

Now, we can rewrite the equation and solve for 'v'.

[tex]mgh = \frac{1}{2}mv^2 + \frac{1}{5}mv^2\\\\mgh = \frac{7}{10}mv^2\\\\v = \sqrt{\frac{10gh}{7}} = \sqrt{\frac{10(9.8)(2.2 - 1.87)}{7}} = 2.149\frac{m}{s}[/tex]

a)

We can begin by solving for the time taken for the ball to land on the ground. The ball only has a horizontal velocity, so this is essentially a free-fall situation. Use the rearranged kinematic equation:
[tex]t = \sqrt{\frac{2h}{g}} = \sqrt{\frac{2(1.87)}{9.8}} = .6178 s[/tex]

Now, use the following equation to solve for horizontal distance given horizontal velocity and time:
[tex]d_x = v_x t\\\\d_x = 2.149 * .6178 = \boxed{1.328 m}[/tex]

b)
We can use the previously-stated relationship between translational and angular velocity to solve for the angular velocity.

[tex]\omega = \frac{v}{r}[/tex]
It is given that the diameter is 0.14 m, so the radius is 1/2th the diameter, or 0.07 m.

Solve for the angular velocity:
[tex]\omega = \frac{2.149}{0.07} = 30.706 \frac{rad}{sec}}[/tex]

Using the above fall time and dimensional analysis to convert from rad/sec to revolutions, we can solve for the # of revolutions made by the ball:
[tex]\frac{30.706rad}{sec} * .6178 sec * \frac{1 rev}{2\pi rad} = \boxed{3.019 rev}[/tex]

WILL GIVE BRAINLEST!!! What is the magnification of a virtual image if the image is 10.0 cm from a mirror and the object is 20.0 cm from the mirror?

a. -2.0
b. 0.50
c. 2.0
d. -0.50

Answers

option D

hope it helps...!!!

Answer:

B.

Explanation:

You have to divide.
10.0/20.0 = 0.50

I apologize if it is incorrect-

I hope it helps! Have a great day!

Anygays-

The interior of a refrigerator has a surface area of 2. 6 m2. It is insulated by a 4. 5 cm thick material that has a thermal conductivity of 0. 0098 J/m · s · ◦ C. The ratio of the heat extracted from the interior to the work done by the motor is 4. 4% of the theoretical maximum. The temperature of the room is 37. 7 ◦C, and the temperature inside the refrigerator is 3. 7 ◦C

Answers

For an interior of a refrigerator has a surface area of 2. 6 m2, The power is  is mathematically given as

P= 71.56W

What is the power?

Generally, the equation for the  Fourier's law  is mathematically given as

H = ∆Q/∆t = k∙A∙∆T/∆x

Therefore

H= 0.0112* 4.2 *(33.3 - 6.8) / 0.022m

H= 58.18J/s

For The coefficient of performance(COP)

COP = Q/W = H/P

Therefore

COP = 279.95K/(306.45K - 279.95K)

COP = 10.564

In conclusion

P = H/COP

P= 58.18W / 0.813

P= 71.56W

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A uniform rod of length l and mass m is pivoted around a line perpindicular to the rod at location l/3

Answers

Answer:

I for a rod about its center is I = M L^2 / 12

A = L (1/2 - 1/3) = L / 6     distance from middle to location L/3

A^2 = L^2 / 36

I = M L^2 (1/12 + 1/36) = M L^2 (4 / 36) = M L^2 / 9

I about given location by parallel axis theorem

name one type of energy the washing machine wastes when spinning the clothes

Answers

Answer:

Electrical Energy

The Electricity Rotates the spinning part of Washing machine and It spinns clothes.

A carrot has a mass of 69 grams and a volume of 150 cubic centimeters. Calculate its
density.

Answers

Answer:

As Per Provided Information

Mass of carrot 69 grams

Volume of carrot 150 cm³

we have been asked to determine the density of carrot .

Using Formulae

[tex] \bf \: Density = \cfrac{Mass \: of \: carrot}{Volume \: of \: carrot}[/tex]

Substituting the given value and let's solve it to determine the density of carrot.

[tex] \longrightarrow\sf \: Density = \cfrac{69}{150} \\ \\ \\ \longrightarrow\sf \: Density = \cancel\cfrac{69}{150} \\ \\ \\ \longrightarrow\sf \: Density =0.46 \: gm \: {cm}^{ - 3} [/tex]

Therefore,

Density of carrot is 0.46 gm/cm³

Which materials are good insulators? Select three options. Glass paper gold plastic silver.

Answers

Answer:

Plastic Glass and Paper

Explanation:

i just took the assignment

Glass, paper, and plastic are good insulators. The material that does not allow the flow of current through them is known as the insulators.

What are insulators?

An electrical insulator is a substance that prevents electric current from flowing freely. The electrons in the insulator's atoms are closely bonded and cannot travel easily.

Other materials, such as semiconductors and conductors, carry electricity more easily. The characteristic that characterizes an insulator.

Gold and silver are good conductors of electricity. While glass, paper, and plastic are good insulators.

Hence glass, paper, and plastic are good insulators.

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1. How do you describe the path that the light passes through when it travels?
2. What happens during dispersion of light?
3. What are the different colors of light?
4. Similarly, how are rainbows formed up in the sky?


pls help me if u can

Answers

A:

The white light is divided into its component hues - red, orange, yellow, green, blue, and violet - as it passes through the prism. Dispersion is the splitting of visible light into its many hues.

===========================================================

B:

Dispersion is the splitting of visible light into its many hues. Each hue is associated with a certain wave frequency, as stated in the Light and Color unit, and different frequencies of light waves bend at different rates while passing through a prism.

============================================================

C:

The white light is divided into its component hues - red, orange, yellow, green, blue, and violet - as it passes through the prism. Dispersion is the splitting of visible light into its many hues.

===========================================================

D:

The sun and the weather combine to create a rainbow. As it passes from air to denser water, light enters a water droplet, slowing and bending. The light bounces off the interior of the droplet, separating the wavelengths—or colors—that make up the droplet. A rainbow is created as light escapes the droplet.

Enter an expression, in terms of defined quantities and g, for the force that the scale under left pillar shows

Answers

The expression, in terms of defined quantities and g is therefore Fu =((mg/2) +2 mp) g

What is a Scale?

This can be defined as a balance or any of various other instruments or devices for weighing.

The expression in terms of defined quantities and g, for the force that the scale under left pillar shows that Fu =((mg/2) +2 mp) g .

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The expression, in terms of defined quantities and g, for the force that the scale under left pillar is (m(b)/2+2m(d))g.

What is the equilibrium state of a system?

Equilibrium is the location of the system, in which the system be static does not change its position with respect to time.

The image of the uniform beam which has two pillar is attached below. In this pillar,

The length of the pillar is L and the mass is m(b)Pillars located at L/3 from either end.The system is in equilibrium.A duck is shown has the mass m(d).

The expression, in terms of defined quantities and g, for the force that the scale under left pillar has to be find out.

In the equilibrium position torque in left pillar is zero,

[tex]\tau_{right} =0[/tex]

It can be written as,

[tex]F_L\dfrac{L}{3}=m_bg\dfrac{L}{6}+m_dg\dfrac{2L}{3}[/tex]

[tex]F_L=\left(\dfrac{m_b}{2}+2m_d\right)g[/tex]

Thus, the expression, in terms of defined quantities and g, for the force that the scale under left pillar is (m(b)/2+2m(d))g.

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sitting at rest on top of a spring with a spring constant of 10N /m. the spring is compressed 5m

Answers

Answer:

50N

Explanation:

this is because 5×10all over 100 ,0 will cancile 0 remaining 10 ,1 into 10 ,10times ,so 5×10 =50N

what other fees are associated with each credit card

Answers

Answer:

Finance costs (also known as interest fees) aren't added to your account in a set amount like other fees.

OR

A credit card is a payment card that is issued to users to allow them to pay a merchant for products and services depending on their outstanding debt. The card issuer opens a revolving account for the cardholder and provides a line of credit from which the cardholder can borrow money to pay a merchant or get a cash advance. Consumer credit cards and business credit cards are the two types of credit cards available. The majority of the cards are plastic, however, there are a few metals and gemstone-encrusted metal cards.

Explanation:

Reagan rides on a playground roundabout with a radius of 2. 5 feet. To the nearest foot, how far does reagan travel over an angle of 4π3radians? ______ ft

Answers

Answer:

S = θ R      where S is the arc length and θ the arc length in radians

S = 2.5 ft * 4 π^3 rad = 2.5 * 124 = 310 ft       (1 radian = 2.5 ft)

Assuming 4π3 means 4π^3

The Reagan travel over an angle of 4π/3radians is 10.47 or 10 feet if the Reagan rides on a playground roundabout with a radius of 2. 5 feet.

What is a circle?

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have Reagan rides on a playground roundabout with a radius of 2.5 feet.

We know the relation between arc length and radius of the circle:

S = R∅

Here R = 2.5 feet, and central angle ∅ = 4π/3

[tex]\rm S = 2.5\times \frac{4\pi}{3}[/tex]

S = 10.47 feet ≈ 10 feet

Thus, the Reagan travel over an angle of 4π/3radians is 10.47 or 10 feet if the Reagan rides on a playground roundabout with a radius of 2. 5 feet.

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Which of the following can be used to measure temperature accurately
Celsius
Fahrenheit
Kelvin
All of these are correct

Answers

Answer:

Any of those terms can be converted to either of the other terms, so either term is correct. People are accustomed to everyday temperatures in Fahrenheit. The ideal gas law specifies that

P V = N R T     where T is in Kelvin which is Celsius + 273 deg.

After hearing about an accident on his normal route, mr. gujral checks for alternate routes to get to work. what type of circuit does this traffic situation model? a series circuit because there is more than one path a series circuit because there is only one path a parallel circuit because there is more than one path a parallel circuit because there is only one path

Answers

The type of circuit does this traffic situation model will be a parallel circuit because there is more than one path.

What is a parallel circuit?

A parallel circuit has branches that split the current such that just a portion of it passes through each branch.

The voltage or potential difference between each branch of a parallel circuit is the same, but the currents might differ.

A parallel circuit is having more than one path in order to reach it on time he has to take a different path.

Hence the type of circuit does this traffic situation model will be a parallel circuit because there is more than one path.

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Answer:

C) a parallel circuit because there is more than one path

Explanation:

C) a parallel circuit because there is more than one path

What is the distance a spring is compressed if the spring constant is 10 m/n, and a force
of 25 n is applied?

Answers

Answer:

40n

Explanation:

10×25 all over 100 ,25 into hundred 4 times 10×4 =40n

Conduction is greater in solids .explain in your own words Why?

Answers

Explanation:

because conduction takes place in objects whose particles are close/touching each other therefore conduction happens in solid as liquid and gas paricles are not close to each other

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Adolescents typically prefer ______ than in childhood. Multiple select question. relationships that are less intimate and more relaxed more friends a smaller number of friends relationships that are more intimate and intense In which procedure is 70 to 85% of the stomach removed and the rest stapled to create a vertical tube-shaped stomach with limited capacity? Rob goes to a store and buys a camera originally priced at $30. The store is running a discount of 18%. The sales tax rate is 7.4%. What is the final price of the camera?pls help asap Nates ice-cream cone has a diameter of 4 cm and a height of 14 cm. what is the approximate volume of the ice-cream cone? Standards are:_______.A. set for each major production input or taskB. rarely used outside of management accountingC. benchmarks for measuring performanceD. compared to the actual quantities and costs of inputs How did primitivism begin? a. artists wanted to embrace high society, while displaying its animalistic characteristics. b. artists were contemptuous toward city life and decadence. c. artists were jealous. d. all of the above please select the best answer from the choices provided a b c d Factor completely 2x2 X 4.(3x - 1)(x + 4)(3x + 4)(x - 1)(3x 2)(x + 2)-(3x 4)(x + 1)- Hold a spoon such that the water will hit the back of the spoon. The handle of the spoon will be horizontal. Turn on the water, but not full strength though. HELPexplain what the answer is What happens when carbon dioxide from the atmosphere dissolves in seawater. You pick a card at random.3 4 5 6 What is P(not 6)?Write your answer as a fraction or whole number. Pure substances can be made of atoms that are attracted to each other or atoms that are not attracted to each other. Which type of pure substance can create elaborate structures? (1 point)Atoms that are attracted to each other because the bonds that form between them can support the creation of the structure. Atoms that are attracted to each other because they will mix together to form a mixture with a different structure. Atoms that are not attracted to each other because they will form bonds with each other and create a larger structure. Atoms that are not attracted to each other because they will stay still and end up laying on top of each other. The area of a rectangle is 108 square meters. The width is 9 meters. What isthe length? Which tobacco product has the greatest amount of nicotine?patchespatches , ,lozengeslozenges , ,chewing gum , chewing gum , ,chewing tobacco [tex]\underline{\boxed{\blue{\Large{\bf{Challenge}}}}}[/tex]If 'P and 'Q' are two points whose coordinates are (at^2, 2at) and (a/t^2, 2a/t) respectively and S is the point(0, 0). Show that 1/SP + 1/SQ is independent of 't'.Note:-Plagarised/spam/short answers will be deleted on the spot.Answer with all steps and proper explanation . Find the mean, median, and mode of the following list of values. Round to the nearest tenth if necessary.30, 26, 25, 11, 34, 20, 26, 26a.Mean = 99Median = 26Mode = 26c.Mean = 24.8Median = 34Mode = 26b.Mean = 24.8Median = 26Mode = 25d.Mean = 24.8Median = 26Mode = 26Please select the best answer from the choices providedABCD Please Help ASAP (show work if you want its not needed i just need the answer) Why was Israel an important U.S. ally throughout the second half of the twentiethcentury?Because of the deterioration of U.S.-Saudi Arabian relationsBecause of the United States' growing reliance on foreign oilBecause of the expansion of Soviet influence in the Middle EasBecause of the rise of fascist governments throughout Europe The mean of 5 different numbers is 6 and the mean of 4 differentnumbers is 15. Find the mean of 9 numbers. Please answer fast as possible. PLEASE HELP! Will Give brainliest!