You are assigned the design of a cylindrical, pressurized water tank for a future colony on Mars, where the acceleration due to gravity is 3.71 m/s^2. The pressure at the surface of the water will be 150 kPa , and the depth of the water will be 13.6 m . The pressure of the air outside the tank, which is elevated above the ground, will be 93.0 kPa .
A) Find the net downward force on the tank's flat bottom, of area 2.15 m^2 , exerted by the water and air inside the tank and the air outside the tank.

Answers

Answer 1

Answer:

630.93 kN of force.

Explanation:

Pressure inside the tank is 150 kPa

The acceleration due to gravity on Mars g is 3.71 m/s^2.

The depth of water h is 13.6 m.

Pressure due to air outside tank is 93 kPa

The density of water p is 1000 kg/m^3

Pressure of the water on the tank bottom will be equal to pgh

Pressure of water = pgh

= 1000 x 3.71 x 13.6 = 50456 Pa

= 50.456 kPa.

Total pressure at the bottom of the tank will be pressure within tank and pressure due to water and pressure outside tank.

Pt = (150 + 50.456 + 93) = 293.456 kPa

Force at the bottom of the tank will be pressure times area of tank bottom.

F = Pt x A

F = 293.456 x 2.15 m^2 = 630.93 kN


Related Questions

PLS ANSWER WILL GIVE BRAINLIEST
An elevator with a person inside weighs a total of 24,450 Newtons. an elevator that rises 12 meters in 30 seconds. How much power is needed for the elevator trip?

Answers

Answer:

9780 W

Explanation:

Power: This can be defined as the rate at which work is done. The S.I unit of power is Watt (W).

From the question,

P = W/t....................... Equation 1

Where P = power, W = work, t = time.

But,

W = F×d.............. Equation 2

Where F = force, d = distance.

Substitute equation 2 into equation 1

P = (F×d)/t................. Equation 3

Given: F = 24450 N, d = 12 m, t = 30 s.

Substitute these vales into equation 3

P = (24450×12)/30

P = 9780 W.

Hence the power needed for the elevator trip = 9780 W

Answer:

9,780Watts

Explanation:

Power is defined as the rate of workdone with respect to time.

The formula for calculating power P needed by the eleveator is expressed as;

Power = [tex]\frac{workdone}{time}[/tex]

Since Workdone = Force*distance then;

[tex]Power = \frac{force * distance}{time}[/tex]

Given the weight of elevator = 24,450Newtons

distance moved by the elevator = 12m

time taken = 12seconds.

Substituting this values in the formula given will give;

[tex]Power = \frac{24,450*12}{30} \\Power = \frac{293,400}{30} \\Power = 9,780Watts\ or\ 9.78kW[/tex]

The amount of power needed for the elevator trip is 9,780Watts

Which item stores the most electrical potential energy within its capacitors?
A) Cell phone
B) Tablet
C) Television
D) Heating and Cooling system

Answers

Answer:

C. Television

Explanation:

Mostly in cathode ray television, a TV has many of different types of capacitors, used as connections between circuits, as timing components and as electronic filters. TV capacitors perform many functions.

capacitor acts as a reservoir for electric charge, storing and releasing electricity in precise amounts.

What is a Capacitor  ?

A capacitor is a simple device consisting of a pair of metal foils separated by a thin insulator, such as plastic, used basically for storing charge

Answer:

D) Heating and Cooling system

Explanation:

just took the test and got it right :)

Which of the choices is not a statement or direct application of the second law of thermodynamics? There are no 100% efficient heat engines. Heat energy naturally transfers from a high temperature substance to a low temperature substance. The change in internal energy of a system can be found by combining the heat energy added to a system minus the work done by the system. All natural processes tend toward states of increased entropy.

Answers

Answer:

Explanation:

Heat energy naturally transfers from a high temperature substance to a low temperature substance.

It  is not a statement or direct application of the second law of thermodynamics.

The change in internal energy of a system can be found by combining the heat energy added to a system minus the work done by the system.

It  is not a statement or direct application of the second law of thermodynamics. This statement is in accordance with first law of thermodynamics.

All the other two statements are in accordance with second law of thermodynamics.

The statement B is not a statement or direct application of the second law of thermodynamics.

Statements given to us:

(a.) There are no 100% efficient heat engines.

(b.) Heat energy naturally transfers from a high temperature substance to a low temperature substance.

(c.) The change in internal energy of a system can be found by combining the heat energy added to a system minus the work done by the system.

(d.) All natural processes tend toward states of increased entropy.

According to the Second Law of Thermodynamics:

heat transfer occurs spontaneously only from higher to lower temperature bodies.Entropy of the entire universe, as an isolated system, will always increase over time. The changes in the entropy in the universe can never be negative.

So, according to the above points statement B is not a statement or direct application of the second law of thermodynamics.

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A rigid uniform rod of length 90.0 cm and mass 35.0 kg laying on a horizontal frictionless surface is free to rotate on that surface about an axle through its center. A small puck slides into it at an angle of 90 degrees to its surface at a distance of 30.0 cm from the pivot point at a speed of 20.0 m/s. It rebounds with a speed of 16.0 m/s along the same line. If the angular speed of the rod immediately after the collision is 1.14 rad/s, what was the mass of the puck

Answers

Answer:

m = 0.217 kg

Explanation:

We can solve this exercise using the conservation of angular momentum. For this the system is formed by the bar and the disk, so that the forces during the crash have been internal and the angular momentum is preserved

initial angular mount. Before impact

        L₀ = L_bar + L_ disk

        L₀ = I_bar w₀ + m r v₀

final angular momentum. Right after the crash

         [tex]L_{f}[/tex] = I_bar wf = m r v_{f}

The moment of inertia of a bar that rotates at its ends is

        I_bar = 1/12 M L

how the angular momentum is conserved

       L₀ = L_{f}

      I_barr w₀ + mr v₀ = I_barr w_{f} + m r v_{f}

      I_bar (w₀- w_{f}) = m r (v₀- v_{f})) r

      m = I_bar (w₀ - w_{f}) / r (v₀ -v_{f})

      m = 1/12 M L (w₀ -w_{f} ) / r (v₀ -v_{f})

in the exercise it indicates that the initial speed of the disc is v₀ = 20 m / s and its final speed is v_{f} = -16 m / s, the negative sign is because the disc recoils

we calculate

     m = 1/12 35 0.90 (0 + 1.14) / [0.30 (30- (-16))]

     m = 0.217 kg

Jamal has a fan that plugs into the wall. When Jamal plugs in the fan and turns it on, the blades spin and make the air around them move.


Jamal's fan uses _______ energy to cause motion.
A.
electrical
B.
light
C.
sound
D.
heat

Answers

The answer is A,electrical energy
A because when he is plugging it it is using electrical energy to move the fan

A team of landscapers pull an unplanted tree across the lawn. What forces are used?

Answers

Answer:

Explanation:

When an unplanted tree is pulled across the lawn then a variety of forces will be acting on the tree i.e.

1.There will be gravity force

2.Friction force to oppose the motion

3.Applied force which is pulling the tree

4. Normal force in response to the gravity force.

According to recent typical test data, a Ford Focus travels 0.240 mi in 19.3 s, starting from rest. The same car, when braking from 62.5 mph on dry pavement, stops in 150 ft. Assume constant acceleration in each part of its motion, but not necessarily the same acceleration when slowing down as when speeding up.(a) Find the magnitude of this car's acceleration while braking.(b) Find the magnitude of this car's acceleration while speeding up.(c) If its acceleration is constant while speeding up, how fast (in mph) will the car be traveling after 0.250 mi of acceleration?(d) How long does it take the car to stop while braking from 59.0 mph?

Answers

Answer:

Explanation:

a )

While breaking initial velocity u = 62.5 mph

= 62.5 x 1760 x 3 / (60 x 60 )  ft /s

= 91.66 ft / s

distance trvelled s = 150 ft

v² = u² - 2as

0 = 91.66²  - 2 a x 150

a = - 28 ft / s²

b ) While accelerating initial velocity u = 0

distance travelled s = .24 mi

time = 19.3 s

s = ut + 1/2 at²

s is distance travelled in time t with acceleration a ,

.24 = 0 + 1/2 a x 19.3²

a = .001288 mi/s²

= 2.06 m /s²

c )

If distance travelled s = .25 mi

final velocity v = ? a = .001288 mi / s²

v² = u² + 2as

= 0 + 2 x .001288 x .25

= .000644

v = .025 mi / s

= .0025 x 60 x 60 mi / h

= 91.35 mph .

d ) initial velocity u = 59 mph

= 86.53 ft / s

final velocity = 0

acceleration = - 28 ft /s²

v = u - at

0 = 86.53 - 28 t

t = 3 sec approx .

who is the first person created light bulb​

Answers

Answer:

Thomas Alva Edison

Explanation:

he created the bulb first. He was an American. He was an inventor and also a businessman. Moreover he invented the phonograph, and the motion picture camera, as well as improving the telegraph and telephone.

hope this helps

brainliest appreciated

good luck! have a nice day!

The invisible line that passes through the North Pole and the South
Pole is called Earth's what

Answers

Answer:

The Prime Meridian

The invisible line that passes through the North Pole and the South

Pole is called Earth's axis.

What is axis of earth?

The imaginary line connecting the North and South poles is known as the Earth's axis. Its orbital plane and it are at an angle of 66 (1/2) degrees.

What is north pole and south pole?

The Earth rotates on a 22 1/2-degree axis rather than vertically. A compass's arrow always points north when being used. The South Pole is located at the southernmost point on Earth, whereas the North Pole is located at its northernmost point. The region near the North and South Poles is extremely cold, whereas the region around the equator is extremely warm.

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What is clear cutting?

Answers

Foresting technique where most or all trees in an area are uniformly cut down.


2. Water at the Antarctica usually exits as ice, making it very difficult to use the water or conduct experiment requiring the water to be in liquid state. A coffee addicted physicist stationed at a research base requires about 0.8 kg of ice for his coffee on the hour.
a. How much heat is required to convert 0.8 kg of ice at —35 °C into steam at 100°C?

Answers

Answer:

662480 J

Explanation:

The heat required to convert 0.8Kg of ice at -35°c to steam at 100°c is the sum of the heat required to raise the temperature of the ice from -35°c to 0°C, the latent heat of fusion of ice and the heat required to raise the temperature of the ice from 0°c to 100°c.

Latent heat of fusion for ice= 3.36× 10^5 J Kg-1

Specific heat capacity of ice= 2060 J kg−1K−1

Specific heat capacity of water= 4200 JKg-1K-1

Heat required to raise the temperature of the ice to fusion point

H= 0.8 × 2060 × [0-(-35)]

H= 57680 J

Latent heat of fusion of ice;

H= mL

H= 0.8 ×3.36× 10^5

H= 2.688×10^5 J

Heat required to raise the temperature of the water to 100°C

Since mass is conserved, the mass of ice that has melted has been turned into an equivalent mass of water.

Therefore mass of water formed= 0.8Kg

H= 0.8× 4200 × 100

H= 336000J

Therefore total heat required;

H= 57680 + 2.688×10^5 + 336000

H= 662480 J

Answer:

2468,080j

Explanation:

An insulating plastic rod is charged by rubbing it with a wool cloth, and then brought to an initially neutral conducting metallic sphere sitting on an insulating stand. The rod touches the sphere for a few seconds, and then is separated from the sphere by a small distance. After the rod is separated, the rod:_____
A) is repelled by the sphere.
B) is attracted to the sphere.
C) feels no force due to the sphere.

Answers

Answer:

A) is repelled by the sphere.

Explanation:

When a charged insulated rod is touched with an insulated conducting sphere , some  charge on the rod gets transferred to the sphere . So they become similarly charged . We all know that there is repulsion when two similarly charged object are brought near to each other . Hence here too there will be repulsion between the rod and the sphere when the rod is brought near the sphere.

A 385-g tile hangs from one end of a string that goes over a pulley with a moment of inertia of 0.0125 kg ⋅ m2 and a radius of 15.0 cm. A mass of 710 g hangs from the other end of the string. When the tiles are released, the larger one accelerates downward while the lighter one accelerates upward. The pulley has no friction in its axle and turns without the string slipping. What is the tension in the string on the side of the 710-g tile?

Answers

Answer:

the tension in the string is 5.59 N

Explanation:

Here ,

m_1 = 0.385 Kg

m_2 = 0.710 Kg

Using second law of motion ,

a = F_net / effective mass

a = (0.710- 0.385)×9.8/(0.710 + 0.385 + 0.0125/0.15^2)

a = 1.93 m/s^2

Now , let tension be T ,

then,

mg-T=ma

0.710×g - T = 0.710×1.93

T = 5.59 N

the tension in the string is 5.59 N

What kind of lens is found in both a magnifying glass and a microscope

Answers

I found this on google hope it’s helps and can I have brainless question

Answer:

convex lens

Explanation:

Is it true or wrong that if anyone say that, can something that is “speeding up” it means it is also have a negative acceleration? Either true or wrong justify your answer with solid reason.

Answers

Answer:

wrong

Explanation:

it depends your perspective on it

Why do astronauts' weights differ in space?

There is a less gravitational force in space.
Their mass changes in space.
Space is colder than Earth.
There is less oxygen in space.

Answers

Answer:

There is less gravitational force in space.

Explanation:

Gravity doesn't exist as it does on Earth. Earth's gravity is as 6 times stronger as it is on the moon.

D’andre expends 120W of power in moving a couch 15 meters in 5 seconds. How much force does he exert?

Answers

Answer:

40N

Explanation:

Which medium (1 or 2) is more dense?

Answers

Answer:

The answer is 1

Explanation:

It's fr 1

Sinec the light rays bends away from the normal when it enters into medium 2, the denser medium is medium 1.

What is refraction?

Refraction is the bending of light waves at the boundary of media of different densities.

During refraction, if light travels from less dense to a denser medium, the light rays is bent towards the normal.

However when light travels from denser to less dense medium, the light rays bends away from the normal.

Therefore, since the light rays bends away from the normal when it enters into medium 2, the denser medium is medium 1.

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b. A force 100N makes an angle of Ø with the x axis and has a y component of 30 N. Find both the x and y component of the force and the angle Ø.

Answers

Answer:

Explanation:

The y component of the force is 100 sinØ . But given that y component is 30N

so 100 sinØ = 30

sinØ = 0.3

Ø = 17.5°.

X component of force = 100 cosØ

= 100 cos17.5

= 95.35 N .

Y component of force = 30 N .

Angle Ø = 17.5°.

If you run the simulation a few times, you should see that for this particular pair of block and disc the block's position has the same numerical value as the disc's angular position, and the block's velocity has the same numerical value as the disc's angular velocity. Which of the following pairs of quantities must also have the same numerical values for the block and disc (assuming we use standard meter-kilogram-second units)? Select all that apply.

a. The work done by the force on the block and the work done by the torque on the disc.
b. The acceleration of the block and the angular acceleration of the disc.
c. The mass of the block and the mass of the disc.
d. The translational kinetic energy of the block and the rotational kinetic energy of the disc.
e. The momentum of the block and the angular momentum of the disc

Answers

Explanation:

C) is incorrect.  The mass is equivalent to the moment of inertia in an angular formula.

The others appear all correct.

T * theta = F * r * theta = F * (r theta) = fx = work

This is the only one that needed explanation.  The others should be obvious.

Ned tightens a bolt in his car engine by exerting 15 N of force on his wrench at a distance of 0.45m from the fulcrum. How much torque must Ned produce to turn the bolt?

Answers

Answer:

[tex]T = 6.75\,N\cdot m[/tex]

Explanation:

Vectorially speaking, torque is the cross product between force and distance from fulcrum. Its magnitude is equal to the following expression:

[tex]T = F\cdot r \cdot \sin \theta[/tex]

[tex]T = F_{\bot} \cdot r[/tex]

Let assume that force is perpendicular to the distance from the fulcrum. So, the torque needed to turn the bolt is:

[tex]T = (15\,N)\cdot (0.45\,m)[/tex]

[tex]T = 6.75\,N\cdot m[/tex]

The primary coil of a transformer has 200 turns and the secondary coil has 800 turns. The power supplied to the primary coil is 400 watts. What is the power generated in the secondary coil if it is terminated by a 20-ohm resistor? The primary coil of a transformer has 200 turns and the secondary coil has 800 turns. The power supplied to the primary coil is 400 watts. What is the power generated in the secondary coil if it is terminated by a 20-ohm resistor? 20W 200W 400W 800W 8000W 16000W 32000W\

Answers

Answer:

400 W

Explanation:

Ignoring the efficiency rating for the transformer we have to assume 100% .. Also, the power input to primary is equal to the power output in secondary.

This means that power input = 400 W = power output

What is a neutral subatomic particle that has almost no mass and is released
from a radioactive nucleus during by fission and fusion reactions. These particles
can usually pass through matter undetected.

Answers

Answer:

Alpha particle

Explanation:

Alpha particles emitted by radioactive nuclei consist of 2 protons and 2 neutrons bound together which makes it neutral and are able to pass through ordinary matter almost undisturbed

A proton starts from rest, and moves 1 meter through a constant electric field. The potential difference between its starting and ending points is 500 V. How fast is the proton moving at the end? How large is the electric field? How long does it take the proton to complete its journey? [Late clarification: since the field is accelerating the particle from rest, you can assume that the direction of the particle's motion is parallel to the field.]

Answers

Answer:

E = - 500 V / m,  v = 30.95 10⁴ m / s   and    t = 6.46 10⁻⁶ s

 

Explanation:

For this problem we use the relation

           ΔU = - E s

           E = -ΔU / s

           E = - 500/1

           E = - 500 V / m

Now we can look for the proton approach

           F = q E

let's use Newton's second law

           F = m a

           a = F / m

           a = q E / m

           

Now let's use kinematics relations, where the proton starts from the rest

v₀ = 0

           v² = v₀² + 2 a x

           v = √2 q E / m x

           v = √ (2 1.6 10⁻¹⁹ 500 / 1.67 10⁻²⁷  1)

           v = √ (958.08 108)

           v = 30.95 10⁴ m / s

for time let's use the equation

          x = v₀ t + ½ to t2

          t = √2x / a

          t = √ (2x m / qE)

          t = √ (2 1 1.67 10⁻²⁷ / (1.6 10⁻¹⁹ 500))

          t = √ (0.004175 10⁻⁸)

          t = 0.0646 10⁻⁴ s

          t = 6.46 10⁻⁶ s

A ball is thro.d hit the grouvelocity)?

Answers

Answer:

The velocity of the ball is 3.52 m/s.

Explanation:

A projectile is any object that moves under the influence of gravity and momentum only. Examples are; a thrown ball, a fired bullet, a kicked ball, thrown javelin, etc.

Given that the ball was thrown vertically upward on the top of a skyscraper of  height 61.9 m. So that the velocity can be determined by;

      u = [tex]\sqrt{\frac{2H}{g} }[/tex]

Where: u is the velocity of the object, H is the height and g is the gravitational force on the object. Given that: H = 61.9 m and g = 10 m/[tex]s^{2}[/tex], then;

 u = [tex]\sqrt{\frac{2*61.9}{10} }[/tex]

   = [tex]\sqrt{\frac{123.8}{10} }[/tex]

u  = 3.5185

The velocity of the ball is 3.52 m/s.

what property of an electromagnetic wave changes when the wave is encoded with analog information?

Answers

Answer:

Amplitude and Frequency

Explanation:

Analog signals are composed of continuous waves that can have any values for frequency and amplitude. These waves are smooth and curved.

Radio transmissions are a combination of two kinds of waves: audio frequency waves that represent the sounds being transmitted and radio frequency waves that "carry" the audio information. All waves have a wavelength, an amplitude and a frequency as shown in the figure. These properties of the wave allow it to be modified to carry sound information.

The two most common types of modulation used in radio are amplitude modulation (AM) and frequency modulation (FM). Frequency modulation minimizes noise and provides greater fidelity than amplitude modulation, which is the older method of broadcasting . Both AM and FM are analog transmission systems, that is, they process sounds into continuously varying patterns of electrical signals which resemble sound waves.

A mass weighting 48 lbs stretches a spring 6 inches. The mass is in a medium that exerts a viscous resistance of 27 lbs when the mass has a velocity of 6 ft/sec. Suppose the object is displaced an additional 6 inches and released.

Required:
a. Find an equation for the object's displacement, u(t), in feet after t seconds.
b. What is the mass of the object?
c. What is the damping coefficient?
d. What is the spring constant?

Answers

Answer:

a)

[tex]u(t)=0.499ft.e^{-\frac{144.76lb/s}{2(48lb)}t}cos(\omega t)\\\\u(t)=0.499ft.e^{-1.5t}cos(\omega t)[/tex]

b)

m = 48lb

c)

b = 144.76lb

Explanation:

The general equation of a damping oscillate motion is given by:

[tex]u(t)=u_oe^{-\frac{b}{2m}t}cos(\omega t-\alpha)[/tex]    (1)

uo: initial position

m: mass of the block

b: damping coefficient

w: angular frequency

α: initial phase

a. With the information given in the statement you replace the values of the parameters in (1). But first, you calculate the constant b by using the information about the viscous resistance force:

[tex]|F_{vis}|=bv\\\\b=\frac{|F_{vis}|}{v}\\\\|F_{vis}|=27lbs=27*32.17ft.lb/s^2=868.59ft.lb/s^2\\\\b=\frac{868.59}{6}lb/s=144.76lb/s[/tex]

Then, you obtain by replacing in (1):

6in = 0.499 ft

[tex]u(t)=0.499ft.e^{-\frac{144.76lb/s}{2(48lb)}t}cos(\omega t)\\\\u(t)=0.499ft.e^{-1.5t}cos(\omega t)[/tex]

b.

mass, m = 48lb

c.

b = 144.76 lb/s

A block is given an initial speed of 3m/s up a 25° incline coefficient of friction= 0.12
A) how far up the plane will it go?
B) how much time elapses before it returns to it's starting point?.

Answers

Answer:

a)   y = 0.459 m , b)   t = 13 s

Explanation:

a) For this exercise we use Newton's second law to find the acceleration of the block

           

we fix a reference system with the x axis parallel to the plane and the y axis perpendicular to it

X axis

          -Wₓ - fr = m a               (1)

Axis y

          N - [tex]W_{y}[/tex] = 0

          N = W_{y}

the friction force has the formula

          fr = μ N

let's use trigonometry to find the components of the weight

          sin 25 = Wₓ / W

         Wₓ = W sin 25

          cos 25 = W_{y} / W

          W_{y} = W cos 25

we substitute in 1

          - W sin 25 - μ W cos 25 = m a

          - g (sin 25 - μ cos 25) = a

let's calculate

          a = - 9.8 (sin 25 - 0.12 cos 25)

         a - 0.25 m / s

this is the acceleration on the plane, so we can use the kinematic relations in one dimension

   

the highest point where the block rises the speed is zero (va = 0)

          v² = v₀² - 2 a y

           y = v₀² / 2g

          y = 3 2 / (2 9.8)

           y = 0.459 m

this is the distance the cantes block travels to stop

       

  b) the time of the entire journey is

               y = v₀ t - ½ a t²

               

the point where the body recesses is y = 0

            0 = (vo - ½ a t) t

whose solutions are

           t = 0

           0 = vo - ½ a t

           t = 2vo / a

           t = 2 3 / 0.459

           t = 13 s

How dose the Sum Of Forces help you

Answers

Answer:

The purpose of adding force vectors is to determine the net force acting upon an object. In the above case, the net force (vector sum of all the forces) is 0 Newton. ... We would say that the object is at equilibrium. Any object upon which all the forces are balanced (Fnet = 0 N) is said to be at equilibrium.

Explanation:

hope that helps you

A person is trying to tighten a bolt of mass 1 kg using a wrench of mass 6 kg and length
15 cm by applying a force of 12 N as shown in the diagram below. What is the torque
applied?

Answers

Answer:

0.18 Nm

Explanation:

Note: Torque is independent of the mass of a body.

From the question,

T = F×d.......................Equation 1

Where T = Torque, F = force applied to the wrench, d = length of the wrench.

Given: F = 12 N, d = 15 cm = 0.015 m

Substitute into equation 1

T = 12(0.015)

T = 0.18 Nm.

Hence the torque applied is 0.18 Nm

Other Questions
which graphs represents a proportional relationship between x and y? X Nate brought $37.75 to the art supply store he bought a brush a SketchBook and a paint set the brush was 1/4 as much as a SketchBook and the Sketchbook cost 2/3 the cost of the paint set Nate had $2 left over after buying these items. The fundamental attribution error is likely to be restrained by observing someone a. in a stressful situation. b. who is wealthy. c. in a variety of situations. d. we dislike. e. who is unemployed. What political, economic, and social factors helped bring about the Reformation? Determine the probability of each event. Write impossible, unlikely,as likely as not, likely, or certain. Then, tell whether the probability is0, close to o, , close to 1, or 1.1. randomly picking a blue card from a bag containing all blue cards2. rolling an odd number on a number cube containing numbers 1 through63. picking a red marble from 4 white marbles and 7 green marblesFind each probability. Write your answer in simplest form.4. A bag holds 6 tiles: 2 lettered and 4 numbered. Without lookingyou choose a file. What is the probability of drawing a number?5. The names Phil, Angelica, Yolanda, Mimi, and Ed are on slips ofpaper in a hat. A name is drawn without looking. What is theprobability of not drawing Ed?6. A standard deck of cards contains 13 of each suit: red hearts,red diamonds, black clubs, and black spades. What is the probabilityof drawing a red card without looking?A board game includes the 9 cards below.MoveMoveMoveMoveMovebackupupupback4.2.3.1.3.Moveup6.Moveback2.Moveup5.up2.7. Mia says the probability of moving back is the same as the probabilityof moving up, Is she correct? What is the probability of moving back?Explain.8. Gavin needs to move up more than 4 spaces to win the game. Is helikely to win on his next turn? What is the probability that he will notwin on his next turn? Explain. What challenges prompted the Nixon administration to improve equality in education? Select three options.limited opportunities for female athleteslimited resources and facilities for female studentsschools that segregated students by race or genderlack of scholarships and championships for women in sportslimited interest by women in participation in college athletics What does the simile, Soda attracted girls like honey draws flies, mean? Why would that make the gas station have more customers than any other in town?(The Outsiders)PLS HELP EXTRA POINTS!! True or false Pull-ups measure total flexibility Which factors contributed to agricultural overproduction in the 1920s? Check all that apply.Soldiers returning from the war became farmers.Less food was needed for export to Europe.Farmers planted new varieties of crops.Production increased because of new technologies.Farmers produced more to increase their incomes.Better weather improved harvests. Please help, I don't understand how to do it What are three parts of thenervous system? Which step in conducting research should be done before writing a research question?AbInterview an expert about your topic.Use evidence to support your position.Decide on a subject that you are interested inO Make a plan to learn more about your topic. According to Austin, how has working with dogs prepared him for working with human patients Compare interior intersections andexterior intersections. How are they thesame? How are they different? Question 1Objective: Distinguish between independent and dependent clauses.A group of words with a subject and verb that does not express a complete thought is called a(n)A. Dependent ClauseB. Independent ClauseC. Complex SentenceD. Compound Sentence What are numbers 9 and 10 What is the product of 3rad3cis(pi/8) and 3rad5cis(2pi/3) Which statement best defines an inference? A. a guess that relies only on the readers prior experiences B. a conclusion based on evidence and outside knowledge C. the details stated directly by the author of a passage D. the background information about a literary work why are genetic disorders not passed down ? PLEASE HELP!!!!! Consider the functions f(x)=x7 and g(x)=4x3.What is f(x)+g(x)?