Calculate the gravitational force of the Earth and Moon. The Earth has a mass of 5.972x 1024 kg and the Moon has a mass of 7.348x 1022 kg. They are an average of 384 million meters apart.

Answers

Answer 1

Answer:

The force of gravitation is 1.98×10^(20) m.

Explanation:

Note: The value of m1, m2, r, and G is taken to be 5.97×10^(24) kg, 7.348×10^(22) kg, 3.84×10^(8) m, and 6.67×10^(-11) N m^2/ kg^2 respectively.

The force of gravitation F acting between two masses is calculated using the formula,

F=Gm1m2/ r^2

where G is the gravitational constant.

Hence force F is

F=6.67×10^(-11)×5.97×10^(24)×7.348×10^(22)/ (3.84×10^(8))^2

F=1.98×10^(20) N

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Related Questions

A local FM radio station broadcasts at an energy of kJ/photon. () Calculate the frequency at which it is broadcasting. Frequency

Answers

The frequency is 94.2 Hz

We  are given the energy of a photon = 6.24x10-29 kJ

We  are asked to find the frequency (ν),

We use the equation E = hν where E is energy, h is Planck's constant and ν is the frequency

The quantity of events per unit of time that occur when an event repeats itself at regularly spaced intervals is known as its frequency.

6.24x10-29 kJ = 6.626x10-34 J-sec * ν

ν = 6.24x10-29 kJ x 1000 J/kJ  / 6.626x10-34 Jsec

ν = 6.24x10-26 J / 6.626x10-34 Jsec

ν = 0.942x108 s-1 = 9.42x107 s-1 = 9.42x107 Hz

9.42x107 Hz x 1 MHz/106 Hz = 94.2 MHz

Hence the frequency is 94.2MHz

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Using the side lengths of △pqr and △stu, which angle has a sine ratio of four-fifths? ∠p ∠q ∠t ∠u

Answers

∠p has a sine ratio of four-fifths.

The answer is option A.

Trigonometric Ratios are defined because the values of all the trigonometric features are based totally on the fee of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with recognition of any of its acute angles are referred to as the trigonometric ratios of that particular perspective.

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In geometry, trigonometry is a department of mathematics that offers the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with admire to aspects and angles.

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Answer: A

Explanation: Angle P

An unstoppable object is heading right toward an unmovable object. What's going to happen?

Answers

Answer:

In my opinion the unstoppable object will hit the unmovable object and stop but the wheels will still be rolling and trying to move but can't.

Hope this helps.Good luck ✅.

A 18 kg box slides from rest down a ramp inclined at 25° to the horizontal onto a spring with a spring constant 740 N/m
as shown in the diagram. The spring is compressed 0.32 m before the box stops. Determine how far along the ramp the
box will slide before it stops. Assume friction is negligible.

Answers

The distance traveled by the box along the ramp is 0.51 m.

Distance traveled by the box

Apply the principle of conservation of energy;

Potential energy of the box at top of incline = Elastic potential energy at bottom

mgh = ¹/₂kx²

where;

h is the height of the incline m is mass of the boxx is the compression of the springk is spring constant

h = L sinθ

where;

L is length of the incline = distance traveled by the box

mg(L sinθ) = ¹/₂kx²

(18)(9.8)(L sin25) = ¹/₂(740)(0.32)²

74.55 L = 37.89

L = 37.89 / 74.55

L = 0.51 m

Thus, the distance traveled by the box along the ramp is 0.51 m.

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Higher-pitched sounds have shorter wavelengths.

True or false

Answers

Answer:

The answer is True

Explanation:

I hope it helps

Answer:

it's true

Explanation:

High–pitched sounds have short wavelengths, which means that the peaks are close together. Low–pitched sounds have longer wavelengths, so the peaks are more spread out.

what is specific latent heat mean in simple word?​

Answers

Answer:

Amount of energy required to change the 1kg of a substance without changing its temperature.

What constant acceleration is required to increase the speed of a car from 26 mi/h to 51 mi/h in 5 seconds

Answers

2.25 m/s² of acceleration is required to increase the speed of a car from 26 mi/h to 51 mi/h in 5 seconds.

To find the answer, we need to know about the acceleration.

What is acceleration?Acceleration is given as the ratio of velocity to time.Mathematically, acceleration= velocity/time.What is the acceleration required to increase the speed of a car from 26 mi/h to 51 mi/h in 5 seconds?Here change in velocity of the car is 51-26= 25 mi/h. As 1 mi/h = 0.45 m/s. So 25mi/h = 11.25 m/s.Acceleration= (11.25m/s)/5s = 2.25 m/s².

Thus, we can conclude that the constant acceleration is 2.25 m/s².

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A fluorescent light "hums" at
120 Hz. A bored grad student
hums at 118.4 Hz. What beat
frequency does he hear in his
head?
(Unit = Hz)
(This is on autobiographical problem buthe

Answers

The beat frequency he hears in his head will be 1.6 Hz

What is the frequency of the sound?

A sound pressure wave's frequency, also known as pitch, is the number of times it repeats itself every second.

The frequency of the sound is the inverse of the period. If the wavelength of a wave is short. The wave will indeed have a lower frequency. A longer wavelength denotes a lower frequency.

Given data;

The frequency at which the fluorescent light "hums",f=120 Hz

The frequency at which the bored grad student "hums",f'=118.4 Hz

The beat frequency he hears in his head is,fₐ=?

The beat frequency he hears in his head is found as;

fₐ = f-f'

fₐ = 120 - 118.4 Hz

fₐ = 1.6 Hz

Hence the beat frequency he hears in his head will be 1.6 Hz.

At 120 Hz, a fluorescent light "hums." At 118.4 Hz, a Ph.D. student who is bored hums. He hears 1.6 Hz as the rhythm frequency in his brain.

Hence the beat frequency he hears in his head will be 1.6 Hz

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What is the measure of angle e? m∠e = ° what is the length of ef rounded to the nearest hundredth? ef ≈

Answers

The Measure of angle E is 55° and Length of the side EF is 12.49 units

The diagram is missing in the question and hence the diagram is shown below!!!

Given the triangle EDF with angle measures ∠D = 43° and ∠F = 82°.

As, we know, The sum of the measures of angles in a triangle is 180°.

So, we have,

∠E + ∠D + ∠F = 180°

i.e. ∠E + 43° + 82° = 180°

i.e. ∠E = 180° - 125°

i.e. ∠E = 55°

Thus, the measure of angle E is 55°.

Further we have

15/sin55 = EF / sin43

∴ EF =  15*sin43/sin55

∴EF = 10.23/0.189

EF = 12.49 units

Hence the length of side of EF is 12.49 units

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Please give the person above me brainliest!!!

✔ 55

✔ 12.49

What was a surprise to astronomers when they carefully examined Neptune with the Hubble Space Telescope in 1994

Answers

A surprise to astronomers when they carefully examined Neptune with the Hubble Space Telescope in 1994 was that the Great Dark Spot had disappeared.

What is Neptune?

Neptune refers to the the eighth planet from the distance to the Sun, which was carefully observed with the Hubble Telescope in 1994.

Neptune had a Great Dark Spot that had disappeared in 1994, which represented a spectacular and giant storm.

In conclusion, a surprise when scientists examined Neptune with Hubble telescope was that the Great Dark Spot had disappeared.

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Consider two planets in space that gravitationally attract each other. If the masses of both planets are doubled, and the distance between them is also doubled, then the force between them is

Answers

The force between the planets will not change after doubling the masses of the planets and distance between them.

To find the answer, we need to know about the gravitational force of attraction.

What's the gravitational force attraction?According to Newton's gravitational law, the force between two objects is directly proportional to the product of their masses and inversely propertional to the square of the distance between them.Mathematically, Gravitational force= GMm/r². G is the gravitational constant.What is the gravitational force between two planets when their masses and distance between them are doubled?Then masses are 2M and 2m. Distance is 2r.So gravitational force= G×2M×2m/(2r)²

= GMm/r²

Thus, we can conclude that the gravitational force will not change of the masses are doubled and the separation is also doubled between the planets.

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Suppose that the engine of a 1,500 kg automobile has a maximum power output of 30 hp. What is the maximum grade (in percent) that the automobile can climb at 41 km/h if the drag force on it is 410 N

Answers

The maximum grade (in percent) is 14%.

Suppose angle be theta.

Power = force * velocity

35*746 = [1300*9.8* sin theta + 410]* (43*1000/3600)

sin theta = (35*746/(43*1000/3600) - 410)/(1300*9.8) = 0.139

grade = tan ( arcsin 0.139 )

= 0.140

= 14%

Drag is a mechanical pressure. it is generated via the interplay and speaks to a stable body with a fluid (liquid or fuel). It is not generated via a force area, within the feel of a gravitational field, or an electromagnetic field, wherein one item can have an effect on some other item without being in physical touch.

For instance drag on a ship moving in water or drag on an aircraft shifting in the air. therefore drag pressure is the resistance pressure resulting from the motion of a body thru a fluid like water or air. This drag force acts opposite to the path of the oncoming float velocity.

Drag is generated via the distinction in speed between the strong item and the fluid. There needs to be motion among the object and the fluid. If there's no movement, there's no drag. It makes no difference whether or not the item moves via a static fluid or whether or not the fluid movements beyond a static stable item.

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The maximum grade (in percent) is 14%.

Suppose angle be theta.

Power = force * velocity

35*746 = [1300*9.8* sin theta + 410]* (43*1000/3600)

sin theta = (35*746/(43*1000/3600) - 410)/(1300*9.8) = 0.139

grade = tan ( arcsin 0.139 )

= 0.140

= 14%

Drag is a mechanical pressure. it is generated via the interplay and speaks to a stable body with a fluid (liquid or fuel). It is not generated via a force area, within the feel of a gravitational field, or an electromagnetic field, wherein one item can have an effect on some other item without being in physical touch.

For instance drag on a ship moving in water or drag on an aircraft shifting in the air. Therefore drag pressure is the resistance pressure resulting from the motion of a body thru a fluid like water or air. This drag force acts opposite to the path of the oncoming float velocity.

Drag is generated via the distinction in speed between the strong item and the fluid. There needs to be a move between the object and the fluid. If there's no movement, there's no drag. It makes no difference whether or not the item moves via a static fluid or whether or not the fluid moves beyond a static stable item.

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Where does the first stage of cellular respiration occur?
O w
O x
OY
O Z

Answers

It occurs in the Cytoplasm of your cells

short for Cytoplasm is CYT

An upward electric force of 10 N is exerted on a 3 C charge. Find the magnitude and direction of the electric field at the position of this charge. Group of answer choices Cannot be determined 30 N/C, upward 30 N/C, downward 3.33 N/C, downward 3.33 N/C, upward

Answers

The magnitude and direction of the electric field at the position of this charge.3.33 N/C upward

An electric field is the electric force per unit of charge. It is assumed that the field's direction corresponds to the direction in which a positive test charge would experience force. The electric field is directed radially inward toward a negative point charge and radially outward from a positive charge.

Value of force F given  = 10N

value of charge Q = 3 C

We know that E = F/Q

E = 10/3

= 3.33N

where charge is scalar quantity so the direction of force is the direction of electric field

Hence the magnitude and direction of the electric field at the position of this charge.3.33 N/C upward

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Gabrielle has just upgraded her oil-burning furnace. Her new furnace takes cool air from outside and passes it through the heat source using a fan or blower. What type of furnace has she upgraded to

Answers

Gabrielle has just upgraded her oil-burning furnace to a  Forced air system.

What is  furnace?

A furnace is a place where combustion takes place. In a furnace, it is normal to burn a carbonaceous material and produce energy in the process.

The type of furnace that  takes cool air from outside and passes it through the heat source using a fan or blower is a  Forced air system. Hence, Gabrielle has just upgraded her oil-burning furnace to a  Forced air system.

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Potential relays measure the back ________ developed across the ________ winding to operate the relay.

Answers

Potential relays measure the back emf developed across the start winding to operate the relay.

What is Potential:

the quantity determining the energy of mass in a gravitational field or of charge in an electric field.

Potential relays are used with single-phase capacitor, which need relatively high starting torque.

Their main function is to assist in starting the motor.

When power is applied to the coil, the contact(s) change position.

A relay with power applied to the coil is said to be energized.

Back EMF is the system in the coil of an electric motor that opposes the current flowing through the coil, when the armature rotates.

so here,

Potential relays measure the back emf developed across the start winding to operate the relay.

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A spring is hung from the ceiling. A 2.0-kg mass suspended hung from the spring extends it by 6.0 cm. A downward external force applied to the mass extends the spring an additional 10 cm. What is the work done by the force

Answers

The work done by force on a spring hung from the ceiling will be 1.67 J

Any two things with mass are drawn together by the gravitational pull. We refer to the gravitational force as attractive because it consistently seeks to draw masses together rather than pushing them apart.

Given that a spring is hung from the ceiling with a 2.0-kg mass suspended hung from the spring extends it by 6.0 cm and a downward external force applied to the mass extends the spring an additional 10 cm.

We need to find the work done by the force

Given mass is of 2 kg

So let,

F = 2 kg

x = 0.1 m

Stiffness of spring = k = F/x

k = 20/0.006 = 333 n/m

Now the formula to find the work done by force will be as follow:

Workdone = W = 0.5kx²

W = 0.5 x 333 x 0.1²

W = 1.67 J

Hence the work done by force on a spring hung from the ceiling will be 1.67 J

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A 5.0 kg box slides down a 4.0 m long ramp that makes a 25 angle with the ground. If the coefficient of kinetic friction is 0.65, how much thermal energy was produced?

Answers

The thermal energy was produced is 116J

What is the thermal energy produced?

Now we know that the frictional force produces the energy that is lost as heat as the body slides down the incline. The magnitude of the frictional force is obtained from;

Ff= μmgcosθ

Ff =  0.65 *  5.0 kg * 9.8 m/s^2 * cos 25

Ff = 29 N

Hence, the thermal energy is;

29 N * 4.0 m = 116J

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a person complete a 100m race in 11s. He accelerates for the first two second and then maintains the velocity till the end. what is the maximum velocity reached

Answers

The maximum velocity reached by the person is determined as 11.1 m/s.

Area under velocity - time graph

The area under the velocity time graph is the total displacement of the person.

Total Area = area of triangle formed during first 2 seconds + area of rectangle during the last 8 seconds

100 = ¹/₂(2v) + v(11 - 2)

where;

v is the maximum velocity

100 = v + 8v

100 = 9v

v = 100/9

v = 11. 1 m/s

Thus, the maximum velocity reached by the person is determined as 11.1 m/s.

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The magnetic field at the center of two concentric current loops is zero. The smaller loop has a radius of 0.01 m and a current of 10.0 A. The larger current loop carries a current of 29.0 A. What is the radius of the larger loop

Answers

Answer:

B = μ I / (2 * R)     magnetic field at center of current carrying loop

I1 / R1 = I2 / R2        and we want to know R2

R2 = I2 / I1 * R1 = 29 / 10 * 01 = .029 m

An uncharged metal rod brought close to but not touching the cap of a charged electroscope caused decrease in the divergence of the leaf. Explain this observation.

Answers

-ItzKenzo

-CuteSiKenzo(Oo cute)

Alam kung wala kang pake tángina mo!!

A conducting shell has total extra charge . At some time, you place a charge at the center of the shell. How the charges distribute themselves

Answers

Answer:

There can be no net charge inside the conductor, and the charge must reside uniformly on the outside surface of the sphere.

what is conducting shell?

When there is charge present only on the surface, the sphere is called conducting shell.

Here, A conducting shell has total extra charge.

Gauss’s Law is defined as:

The flux through a closed surface is equal to the total charge enclosed within the closed surface divided by the permittivity of vacuum.

The electric field of conducting sphere of uniform charge:

E = k*Q/r^2

From the Gauss law we can say that,  

There can be no net charge inside the conductor, and the charge must reside uniformly on the outside surface of the sphere.

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A 2.00 kg block hangs from a spring. A 300 g body hung below the block stretches the spring 2.00 cm farther. (a) What is the spring constant

Answers

The spring constant is 147 N/m

Given the mass of the block is 2.00 kg , the mass of the body is 300 g and the length of the spring is 2.00 cm

We need to find the spring constant

A spring is an object that can be deformed by a force and then return to its original shape after the force is removed.

The force required to stretch an elastic object such as a metal spring is directly proportional to the extension of the spring

We know that F = kx

300(9.8)= k (0.02)

k = 147.15 N/m

Rounding off to the nearest is 147N/m

The spring constant is 147N/m

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A current of 2a flow through a bulb for 2.5 minutes determine the quantity of the charge that flows through the bulb

Answers

The quantity of the charge that flows through the bulb is 300 Coulombs.

What is charge flow:

The flow of charge is the process of supplying electric charge to an object or losing electric charge from an object.The flow of charge is also known as the Electric current.

Formula of current:

I = Q / t

Current is determined by the number of electrons passing through a cross-section in one second.

here,

current, I = 2 A

time, t = 2.5 minutes

t = 2.5* 60 = 150 seconds

substituting the values in formula,

I = Q / t

Q = I * t

Q = 2 * 150

Q = 300 coulombs

The quantity of the charge that flows through the bulb is 300 Coulombs.

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For conservative forces, force can be found as being the negative of the derivative of.

Answers

Answer:

Force is the negative derivative of potential:

V = G M / R       potential at distance R from mass M

F = dV / dR = - G M / R^2        force at distance R from mass M

How can you use your experimental results to find where the electric field has the greatest intensity

Answers

Using the experimental result greatest electric fleld can be found in practical application.

According to the problem,

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The box is sitting on the floor of an elevator. The elevator is slowing down moving upward. The magnitude of the normal force on the box is:

Answers

Answer:

The magnitude of the normal force on the box is N= m*g + W

Explanation:

According to Newton's Second law and normal force.

The resultant of the forces acting on the person must be equal to the product between the mass and the acceleration a of the person itself.

so with the help of Newton's second law

we can write the equation for force:

F = ma

Since,

box is sitting on floor of an elevator.

there are two forces acting on this box:

W due to it's weight (downward) N due to the normal force of the floor against the body (upward).

So we can rewrite the previous equation as,

N - W = F

N - W = ma

hence,

N=m*a + W

this is the The magnitude of the normal force on the box.

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Two boys are playing with two different balls of masses m and 2 meter respectively. if first boy through vertically up and the second boy throws at an angle teta from vertical and balls remains same time in air what will be the ratio of height attend by the two balls

Answers

The ratio of the height attended by the object thrown upward to that thrown at some angle θ with the vertical is 1.  

Note: It is assumed that the mass of the first object is m and the mass of the second object is 2m. Also, the first object is thrown upward and the second object is thrown at some angle θ with the vertical.

Projectile motion: Any object that is thrown in the air is called a projectile and the motion described by it under gravity is called the projectile motion.  

If the air resistance is neglected, then the acceleration due to gravity g is the same for all objects irrespective of their masses. It is given that both objects remain in the air for the same time period. So first calculate the time period for the objects when they are in the air.

Time period of the first object: The first object is thrown in the air upwards so from the second kinematics equation,

h1=u1*t1-(1/2)*gt1^2

where h1 is the height, t1 is the time, and u1 is the initial velocity for the first object.

When the object is not in air h1=0, so

0=u1*t1-(1/2)*gt1^2

After solving the above quadratic equation, the values of t1 obtained are t1=0 which represents the initial time, and t1=2u1/g which represents the time period. So the time period of the first object is,

t1=2u1/g

Time period of the second object: The second object is thrown at some angle θ with the vertical as shown in the diagram. From the diagram, the initial velocity along the vertical direction is,

u2=uocos(θ)

where uo is the initial velocity and u2 is the initial velocity along the vertical direction.

From the second kinematic equation,

h2=u2*t2-(1/2)*gt2^2

where h2 is the height, t2 is the time, and u2 is the initial velocity for the second object along the vertical direction.

When the object is not in air h2=0, so using u2=uocos(θ),

0=uocos(θ)*t2-(1/2)*gt2^2

After solving the above quadratic equation, the values of t2 obtained are t2=0 which represents initial time, and t2=2uocos(θ)/g which represents  the time period. So the time period of the second object is,

t2=2uocos(θ)/g

Given that the time period is the same for both cases,

t1=t2

2u1/g=2uocos(θ)/g

u1=uo cos(θ)

Calculation of the ratio of the height of the object:

The maximum height is attained when the time of the object in the air is half of the total time period. At maximum height, velocity is zero.

From the third equation of motion.

v^2=u^2-2gh

h=u^2/2g

where h is the height and u is the initial velocity of an object.

Using it and u1=uo cos(θ) and u2=uo cos(θ), the ratio of h1 and h2 is,

h1/h2=  u1^2/2g÷u2^2/2g

h1/h2=(uo cos(θ))^2/(uo cos(θ))^2

h1/h2=1

The ratio of their height will be 1.

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The Renaissance astronomer who wrote the pioneering book that suggested the Earth probably orbits the Sun (instead of the other way around) was:

Answers

Nicolaus Copernicus wrote the pioneering book that suggested the Earth probably orbits the Sun (instead of the other way around).

Who was Nicolaus Copernicus ?

The father of modern astronomy is Polish astronomer by the name of Nicolaus Copernicus. He was the first contemporary scientist from Europe to put forth the Heliocentric Theory of the universe, which holds that Earth and other planets rotate around the sun.

By reading other astronomers' writings and making his own observations, Copernicus established his heliocentrism theory. He noted that heliocentrism provided a much more comprehensive explanation for the motions of the planets. Nicolaus Copernicus created his own heliocentric planetary system astronomical model. He published his results in the Commentariolus somewhere about 1514.

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Physicists make their work easier by summarizing data in tables and graphs and by abbreviating quantities

Answers

Answer:

visual are used as a way for our brains to Kriti understand information which is the powerful tool is used for glass can show a large amount of data quickly in a way that it is to process with a bunch of numbers

Explanation:

graph and charts communicate information visually they can show pattern self scientist simply corrections and guess the point of experiment across quickly depended variable is y axis

Other Questions
At the annual meeting of the board of directors of LabZaws Co., James Wilson, the CEO of the company, was directed to focus primarily on enhancing the firm's efficiency. How could he achieve this objective 32 less than 3/7 of a number is 11/35 of that number. Find the number. 3 This question has two parts. First, answer Part A. Then, answer Part B. Part A Which of the following sentences best describes the central idea of both passages? A. Dogs can be effective rescue workers. B. It's important to prepare for earthquakes. C. Always stay close to your hiking group. D. Rescue dogs should always stay on their leashes. if there are 22 successful outcomes in a sample with a size of 50, what is the sample proportion? What does the word fraught mean based on the context clues provided?Rumi forgot about his essay until the night before it was due. He didnt have much time to revise it. When he got the essay back from his teacher, he could see that it was fraught with grammar and spelling errors. Rumi vowed to be more aware of due dates.A. to be rushedB. to notice mistakesC. to forget a stepD. to be full of something Which statement illustrates a synthesis of ideas?A) To (not alive) a Mockingbird was immediately successful and has remained one of the most widely read books in history.B) Although the books are set in very different time periods, they both explore the theme of friendship and betrayal. C) George Washington was born in Vir(g)inia and, even as president, continued to think of himself as a Vir(g)inian first.D) Nonfiction is a broad category that encompasses biographies, autobiographies, memoirs, informational texts, arguments, and newspaper and journal articles. Jorge worked 6 hours of overtime this week but has decided to take time off instead of overtime pay. How many hours will Jorge receive in time off from work What mass of carbon dioxide is produced by the complete combustion of 48.0 g of hexane? Which aspect of Gregor's life before his transformation contributed to hisunhappiness?A. He fought constantly with his sister and parents.B. He was often very ill and spent a lot of time in the hospital.C. He was separated from his wife and didn't see his children often.D. He hated his job but had to work to pay off his parents' debts. 2. Given the equation of a line, y = 1/5x, the slope is: A pencil cost $1.20 and a pen cost $2.90. Jasmiah bought an equal number of such pencils and pens. She spent $32.30 more on the pens than on the pencils. How many pencils and pens did she buy altogether? Which of the following is the equation for the graph shown Maya invests $3,000 into a brokerage accountwhich earns 10% per year. In 15 years, howmuch will Maya's investment be worth ifinterest is compounded monthly? Round to thenearest dollar. What is 1 atmospheric pressure? In what three ways can an adolescent help to increase the family's income. B. FechasEscriba las fechas en espaol, segn el modelo. OJO! En espaol, la fecha se escribe y se dice con el da primero, despus el mes y, al final, el ao.MODELO: 16/3/1982 el diecisis de marzo de mil novecientos ochenta y dos1. 14/6/19252. 15/9/15663. 7/12/20204. 1/1/17775. 28/8/1994 Write the definition of a function named isPositive, that receives an integer argument and returns true if the argument is positive, and false otherwise. So, if the argument's value is 7 or 803 or 141 the function returns true. But if the argument's value is -22 or -57, or 0, the function returns false. 20. Find the solution to the system of linear equations below:x - 3y = -52x + 5y = 12O (-5, 12)O (3,2)O (-2,7)O (1,2) How does this scenario relate tothe electoral college? A 0.674m cobalt (ii) chloride (cocl2) solution is prepared with a total volume of 0.0750l. the molecular weight of cocl2 is 128.9 g/mol. what mass of cocl2 in grams is needed for this solution?