a solid weighs 18.36N on the surface of the moon. The force of gravity on the moon is 1.7Nkg-1. Determine the mass of the solid​

Answers

Answer 1

Answer:

mass of the solid is 10.8kg

Explanation:

Weight of the solid=w=18.36N

Force of gravity on the surface of the moon=g=1.71Nkg^-1

Mass of the solid on the moon=m=?

as we know that

weight=mass×force of gravity

here we have to find the mass

[tex]\frac{weight}{force of gravity}[/tex]=mass

mass=[tex]\frac{18.36N}{1.7Nkg^-1}[/tex]

Mass of the solid=10.8kg

i hope it will help you


Related Questions

A car moving at a rate of 72 km per hr. How does it moves if it stop after 4 seconds?

Answers

Answer:

80 meters

Explanation:

Answer:

So the distance covered is 80meters

Explanation:

Speed=72km/h=20m/s

Time=4seconds

Distance covered=?

As we know that

Speed=distance covered/time taken

Speed*time taken=distance covered

Putting values

Distance covered=20m/s*4s

Distance covered =80meters

I hope it will help you

The fielder attempts to catch a second ball. Just before the fielder catches the ball, the air resistance acting on the ball is 1.2N. Calculate the resultant force acting on the ball. Remember to include its direction and the unit. Assume the ball is falling vertically

Answers

Answer:

Resultant force = (1.2 - 9.8m)ĵ N

where m = mass of the ball

Magnitude of the resultant force = (9.8m - 1.2) N

Since the weight of the ball is expected to exceed the air resistance (because the ball is falling vertically downwards), the direction of the resultant force is vertically downwards. Its unit is Newtons, the SI unit of Force.

Explanation:

If a ball is falling vertically downwards, the only two forces acting on the ball include the weight of the ball (the pull of gravity on the ball) and the air resistance on the ball.

Weight of the ball acts downwards and is given as mg. where m = mass of the ball and g is the acceleration due to gravity = 9.8 m/s²

W = mg = (9.8m) N

In vector form, W = (-9.8mĵ) N

The air resistance on the ball = 1.2 N, the air resistance acts in the direction opposite the motion of the ball, and since the ball is moving vertically downwards, the air resistance acts vertically upwards.

In vector form, the air resistance = (1.2ĵ) N

Hence, the resultant force acting on the ball is the vector sum of all the forces acting on the ball.

Resultant force = (-9.8mĵ) + (1.2ĵ)

= (1.2 - 9.8m)ĵ N

Since the weight of the ball is expected to exceed the air resistance (because the ball is falling vertically downwards), the direction of the resultant force is vertically downwards.

Hope this Helps!!!

A radioactive isotope has a half-life of 2 hours. If a sample of the element contains 600,000 radioactive nuclei at 12 noon, how many radioactive nuclei would be left at 6 pm?

Answers

Answer: There will be 75258 nuclei left at 6 pm.

Explanation:

a) half-life of the radioactive substance:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

[tex]t_{\frac{1}{2}}=\frac{0.69}{k}[/tex]

[tex]k=\frac{0.69}{t_{\frac{1}{2}}}=\frac{0.693}{2hours}=0.346hours^{-1}[/tex]

b) Expression for rate law for first order kinetics is given by:

[tex]A=A_0e^{-kt}[/tex]

where,

k = rate constant  

t = time for decomposition = 6 hours ( from 12 noon to 6 pm)

A = activity at time t = ?

[tex]A_0[/tex] = initial activity  = 600, 000

[tex]A=600000\times e^{-0.346\times 6}[/tex]

[tex]A=75258[/tex]

Thus there will be 75258 nuclei left at 6 pm.

I NEED HELP PLEASE, THANKS! :)
A 20.0 cm tall object is placed 50.0 cm in front of a convex mirror with a radius of curvature of 34.0 cm. Where will the image be located, and how tall will it be? Please show all work.

Answers

Answer:

i = -12.7 cm; h =  5.07 cm

Explanation:

1. Find the focal length

The focal length of a concave spherical mirror is half of its radius of curvature.

f = ½r = ½ × 34.0 cm = 17.0 cm

2. Find the image distance

A convex mirror produces a virtual image behind the mirror, so the image distance is negative.

[tex]\begin{array}{rcl}\dfrac{1}{o} + \dfrac{1 }{i} & = & \dfrac{1}{f}\\\\\dfrac{1}{50.0} + \dfrac{1 }{i} & = & \dfrac{1}{-17.0}\\\\\dfrac{1}{i} & = & \dfrac{1}{-17.0} - \dfrac{1}{50.0}\\\\& = & \dfrac{50.0 - (-17.0)}{500\times(-17.0)}\\\\& = & \dfrac{67.0}{-850}\\\\i & = & \dfrac{-850}{67.0}\\\\& = & \textbf{-12.7 cm}\\\end{array}[/tex]

3. Find the image size

[tex]\begin{array}{rcl}\\\\\dfrac{h_{\text{i}}}{ h_{\text{o}}} & = & -\dfrac{i}{o} \\\\\dfrac{h_{\text{i}}}{ 20.0} & = & -\dfrac{-12.7}{50.0} \\\\h_{\text{i}} & = & 20.0 \times \dfrac{12.7}{50.0}\\\\& = & \textbf{5.07 cm}\\\end{array}[/tex]

Conductors and Insulators

Answers

Answer:

Conductors

The substances which allow an electric current to pass through it is called conductors.

Example: Metals like copper,iron ,graphite etc.

Insulators

The substances which do not allow the electric current to pass through is called Insulators.

Example: Glass, dry wood ,plastic etc.

Hope this helps...

Good luck on your assignment...

if a room is closed for 2-4 hours then when we open the door we need a little bit of more energy than the actual energy and feel someone is pushing the door from the back side . what is the reason behind it ? which force is that?

Answers

Answer:

The reason is because the pressure of the air inside the room drops with time which makes opening the door to require an increased amount of force to make up for the reduced pressure inside the room

Explanation:

From the kinetic theory of gases we have the following relation;

[tex]v_{rms} = \sqrt{\dfrac{3 \cdot K \cdot T}{m} }[/tex]

[tex]p = \dfrac{n \cdot MW \cdot v^2_{rms} }{3 \cdot V}[/tex]

Where:

K = Boltzmann constant

T = Temperature

m = Mass

MW = Molecular weight

V = Volume

[tex]v_{rms}[/tex] = Root mean square velocity

Whereby the room door is closed, the kinetic energy of the air particles will be used up such that the average velocity of the particles will decrease, given that the volume of the room is constant, the pressure inside the room will drop below the original pressure outside the room such that the force on the door due to the outside pressure is larger than the force on the door from inside the room requiring a larger amount of force to overcome the resistance of the now higher outside pressure force.

The density of pine is generally about 0.5 g/cm3. What is the mass of a 800 cm3 piece of pine

Answers

Answer:

400grams

Explanation:

Mass is density × volume

0.5×800= 400 grams

Mass is density × volume

0.5×800= 400 grams.

What does density mean?

Density is the number of things—which could be people, animals, plants, or objects—in a certain area. To calculate density, you divide the number of objects by the measurement of the area. The population density of a country is the number of people in that country divided by the area in square kilometers or miles.

How do we calculate density?

density, the mass of a unit volume of a material substance. The formula for density is d = M/V, where d is density, M is mass, and V is volume.

Learn more about density here:  https://brainly.com/question/1354972

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a man has a mass of 70kg. Calculate his weight on earth where the gravitational strength is 10 N/kg​

Answers

Answer:

So the weight of the body is 700N

Explanation:

mass of the object=70kg

force of gravity=10N/kg

weight of the object=w-?

as we know that

weight=mass × force of gravity

weight=70kg × 10N/kg

WEIGHT OF THE BODY=700N

I HOPE IT WILL HELP YOU

GOOD LUCK FOR THE ASSIGNMENT

The correct answer is 700 N.

Object mass = 70 kg

Gravity = 10N / kg

Weight = Mass x Gravity

Weight = 70kg x 10N / kg

Weight = 700 N

What is the gravity for a mass of 10kg?

Mass is more basic because it is a unique property of the object. Weight varies from place to place depending on the acceleration of gravity. If the mass on the earth is m = 10kg, the weight is W = mg = 10 x 10 = 100N.

The strength of the Earth's gravitational field is 10 Newtons (N / kg) per kilogram. This means that there is a force of 10 Newtons per kilogram on Earth. Mass is the amount of substance that makes up an object.

Learn more about gravitational strength here: https://brainly.com/question/25624188

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The tip of second's hand of a clock take 60 seconds to to move once on the circular dial of the clock. If the radius of the dial of the clock be 10.5 cm, calculate the speed of the tip of the second's hand of the clock.

Answers

Answer:

( About ) 1.1 cm / s

Explanation:

We know that the time it takes the clock's second hand to move is 60 seconds. Respectively the radius of this clock is given to be 10.5 centimeters.

_______________________________________________________

Let us apply the formula speed = distance traveled / time. Here the " distance traveled " is the circumference of the clock, or 2πr - where we can pose π as 3.14. In other words, Speed = 2πr / time. Substitute known values to solve for the Speed,

S = 2 * 3.14 * 10.5 / 60,

Speed = ( About ) 1.1 cm / s

Hope that helps!

6 points + Brainliest asap!
If you double the amplitude of a box on a spring, how would that affect the acceleration at maximum displacement?

The acceleration would double.

The acceleration would remain the same.

The acceleration would triple.

The acceleration would be cut in 1/2.

Answers

Answer:

  The acceleration would double

Explanation:

Assuming the same box and spring, the maximum acceleration is proportional to amplitude. When the amplitude doubles, the acceleration would double.

__

A spring is generally considered to have a linear force vs. distance characteristic. Hence, doubling the distance doubles the force. The acceleration is proportional to the force.

(d) In this question you will be assessed on using good English, organising information clearly and using specialist terms where appropriate. The type of radiation emitted from a radioactive source can be identified by comparing the properties of the radiation to the properties of alpha, beta and gamma radiation. Describe the properties of alpha, beta and gamma radiation in terms of their: • penetration through materials • range in air • deflection in a magnetic field.

Answers

Answer:

Hey!

I did this question and have the answers/potential things you can write!

XD

Explanation:

Here!

structure

•alpha particle consists of a helium nucleus

•alpha particle consists of 2 protons and 2 neutrons

•a beta particle is an electron

•a beta particle comes from the nucleus  

penetration

•alpha particles are very poorly penetrating

•alpha particles can penetrate a few cm in air

•alpha particles are absorbed by skin

•alpha particles are absorbed by thin paper

•beta particles can penetrate several metres of air

•beta particles can pass through thin metal plate / foil

•beta particles can travel further than alpha particles in air

•beta particles can travel further than alpha particles in materials eg metals  

deflection

•alpha particles and beta particles are deflected in opposite directions in an electric field

•beta particles are deflected more than alpha particles

•alpha particles have a greater charge than beta particles but beta particles have much less mass or beta particles have a greater specific charge than alpha particles

Hope this helps!

Sorry if it's a bit too long!

An electric dipole of dipole moment 'p' is placed in the position of stable equilibrium in a uniform field of intensity 'E'. The torque required to rotate, when the dipole makes an angle Ө with the initial position is pE cos Ө pE sin Ө p cos Ө p tan Ө

Answers

Answer:

Torque by electric dipole = pEcos thita

Most of the elements in the periodic table are___

Answers

Answer:

The most of the elements in the periodic table are metals. The elements cannot be gases and liquids (Molecules are mainly gases and liquids). Metalloids are few. Examples (Germanium, Arsenic)

BRAINLIEST! I NEED HELP ASAP!
The ratio of xi to xo for a certain mirror is 2.5. Which is true of an image produced by this mirror?
It is 2.5 times larger and virtual.
It is 2.5 times larger and real.
It is 2.5 times smaller and virtual.
It is 2.5 times larger and real.

Answers

The true of an image produced by this mirror will be 2.5 times smaller and virtual. Option C is correct.

What is the image?

When light beams from an object reflect off a mirror, they intersect with the picture of that thing called an image. Real and virtual images are the two sorts of images.

The ratio of xi to xo for a certain mirror is 2.5;

[tex]\rm \frac{x_i}{x_0} =2.5 \\\ x_i=2.5 x_0[/tex]

Where,

[tex]\rm x_0[/tex] is the true of an image produced by this mirror.

The true of an image produced by this mirror will be 2.5 times smaller and virtual.

Hence,option C is correct.

To learn more about the image refer to the link;

https://brainly.com/question/25029470

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A velocity vs. time graph for an object is shown. A graph titled Velocity versus Time shows time in seconds on the x axis, numbered 0 to 5, velocity in meters per second on the y axis, numbered 0 to 5. A line starts at the origin and ends at (5, 5). Which best describes the acceleration of the object? constant and positive constant and negative changing and positive changing and negative

Answers

Answer:

Constant and positive constant

Explanation:

The object move with the same velocity at the same interval

A wave has a frequency of 450 Hz and a wavelength of 0.52 m. What is the speed of the wave?

Answers

Answer:

Explanation:

ave speed is always (frequency) x (wavelength)

Speed  =  (450 /sec) x (0.52 m)

=      234 m/sec .

Help needed Can a body be accelerating if it is moving in circle

Answers

Answer:

When a body is moving on a circle it is accelerating because centripetal acceleration is always acting on it towards the center.

Please see the attached picture...

From the above diagram,we can say the acceleration is always acting on the body when it moves in a circle.

Hope this helps.......

Good luck on your assignment.......

Answer:

an object moving in uniform circular motion is moving in a circle with a uniform or constant speed. The velocity vector is constant in magnitude but changing in direction. Because the speed is constant for such a motion, many students have the misconception that there is no acceleration. "After all," they might say, "if I were driving a car in a circle at a constant speed of 20 mi/hr, then the speed is neither decreasing nor increasing; therefore there must not be an acceleration." At the center of this common student misconception is the wrong belief that acceleration has to do with speed and not with velocity. But the fact is that an accelerating object is an object that is changing its velocity. And since velocity is a vector that has both magnitude and direction, a change in either the magnitude or the direction constitutes a change in the velocity. For this reason, it can be safely concluded that an object moving in a circle at constant speed is indeed accelerating. It is accelerating because the direction of the velocity vector is changing.

Explanation: hopes it help u

define hardware.Give 2 examples

Answers

Answer:

They are the physical parts of a computer.

examples :monitor,keyboard,system unit and mouse.

a material that is not a mixture; it has the same properties all the way through is called. Its 9 letters long and the second letter is u and the eighth letter is c. Its a crossword clue by the way

Answers

Answer: The material that is not a mixture; it has the same properties all the way through is called a substance.

Explanation:

A pure substance is a form of matter that has a constant composition and properties that are constant throughout the sample. Hence, it cannot be separated by physical means. Example: Gold

Mixture is a substance which has two or more components which do not combine chemically and do not have any fixed ratio in which they are present. They can be separated by physical means as well. Example: Air

Thus the material that is not a mixture; it has the same properties all the way through is called a substance.

Henri draws a wave that has a 4 cm distance between the midpoint and the trough. Geri draws a wave that has an 8 cm vertical distance from the bottom of the trough to the top of the crest. Which statement best describes the energy in Henri and Geri’s waves? Henri’s wave has a higher amplitude and more energy. Henri’s wave and Geri’s wave have the same amplitude and the same energy. Henri’s wave and Geri’s wave have the same amplitude, but Geri’s has more energy. Geri’s wave has a higher amplitude and more energy.

Answers

Answer:

Henri’s wave and Geri’s wave have the same amplitude and the same energy

Explanation:

The amplitude of a wave is the distance between the midpoint and the trough (or the crest). This is equivalent to half the distance between the trough and the crest. Therefore:

amplitude of Henri's wave: 4 cmamplitude of Geri's wave: 8/2 = 4 cm

The energy of a wave is directly proportional to its amplitude.

Answer:

its letter b

Explanation:

A student has a 3v cell and the resistance in the circuit totals 6 ohms. How much current would flow in a series circuit?

Answers

Answer:

[tex]I=0.5 \:A[/tex]  is the correct answer.

Explanation:

Using the ohm's law, we have:

[tex]V=IR\\\\I=\frac{V}{R}=\frac{3}{6}\\\\I=0.5 \:A[/tex]

Best Regards!

sara walks part way around a swimming pool. she walks 50 yards north, then 20 yards east, then 50 yards south. the magnitude of her displacement during this walk is ______ yards

Answers

Answer:

+20 yards

Explanation:

Given:

North = 50 yards

East = 20 yards

South = 50 yards

Required

Calculate the magnitude of displacement

Displacement is a vector quantity and it is a measure of distance taken and the direction of the distance.

Take up directions as positive and down directions as negative.

Similarly, we'll take right direction as positive and left direction as negative.

We understand that;

North is upwards; so, the displacement is +50 yards

East is rightwards; so, the displacement is +20 yards

South is downwards; so the displacement is -50 yards

Hence, her total displacement is

Displacement = +50 yards + 20 yards - 50 yards

Displacement = +20 yards

Hence, Sara's displacement is +20 yards

how wood helps in home insulation plz answer fast
plz answwweeeeeeerrrrrrr

Answers

Wood is a poor conductor and therefore a good insulator keeping heat inside

Wood is a natural insulator due to air pockets within its cellular structure, which means that it is 15 times better than masonry, 400 times better than steel, and 1,770 times better than aluminum. In addition, lightweight wood framing methods allow easy installation of additional fibre or foil insulation. i hope this is better

...............................................................help

Answers

Answer:

The maximum height that a cannonball fired at 420 m/s at a 53.0° angles is 5740.48m.

hmax = 5740.48 m

Explanation:

This is an example of parabolic launch. A cannonball is fired on flat ground at 420 m/s at a 53.0° angle and we have to calculate the maximum height that it reach.

V₀ = 420m/s and θ₀ = 53.0°

So, when the cannonball is fired it has horizontal and vertical components:

V₀ₓ = V₀ cos θ₀ = (420m/s)(cos 53°) = 252.76 m/s

V₀y = V₀ cos θ₀ = (420m/s)(cos 53°) = 335.43m/s

When the cannoball reach the maximum height the vertical velocity component is zero, that happens in a tₐ time:

Vy = V₀y - g tₐ = 0

tₐ = V₀y/g

tₐ = (335.43m/s)/(9.8m/s²) = 34.23s

Then, the maximum height is reached in the instant tₐ = 34.23s:

h = V₀y tₐ - 1/2g tₐ²

hmax = (335.43m/s)(34.23s)-1/2(9.8m/s²)(34.23s)²

hmax = 11481.77m - 5741.29m

hmax = 5740.48m

I NEED HELP PLEASE, THANKS!
Identify each of the following as a conductors or insulators. Explain.
-cloth
-dry wood
-tap water
-glass

Answers

Answer:

Cloth:

It is an insulator since it can't let electricity pass through

Dry Wood:

It is an insulator and can't conduct electricity.

Tap Water:

It is a good conductor as it contains dissolved salts.

Glass:

It is an insulator since it can't let electricity pass through.

Please i need the answers now. a) Explain why i) More thermal energy is required to raise the temperature of 2 Kg of a substance by 10°C than is required to raise the temperature of 1 Kg of the same substance by 10°C. ii) A solid expand when heated.

Answers

Answer: find the answer in the explanation

Explanation:

1.) More thermal energy will be required to raise the temperature of 2 Kg of a substance by 10°C than is required to raise the temperature of 1 Kg of the same substance by 10°C. 

Because the thermal energy depends on the mass of an object.

If the two materials are the same, then they will have the same specific heat capacity. Thermal energy can be expressed as:

H = MCØ

Where

M = mass of the body

C = specific heat capacity

Ø = change in temperature

H = thermal energy

If u substitute the two values of masses into the formula above, then, the mass of 2kg will produce higher thermal energy .

Il.) Heat causes expansion. Using kinetic theory to explain this, the molecules of solid material are in a fixed pattern, held together with strong bonds. When heat is applied to the solid, the molecules will start vibrating in their fixed position. As a result of this, the bond between the molecules begins to loss. This eventually lead to expansion of solid.

Which condition must be met in order for an equation to be balanced?

Answers

Answer:

There must be an equal amount of each element on both sides of the equation. Hope this helps and please marks as the brainliest.

Explanation:

Answer:

The answer is D

Explanation:

Hope this helps!

An 18-kg bicycle carrying a 62-kg girl is traveling at a speed of 7 m/s. What is the kinetic energy of the girl
and bicycle combined together?​

Answers

Answer:

1960 J

Explanation:

EK = (18 kg + 62 kg)[tex](7.0 m/s)^{2}[/tex]/2 = 1960 J

please help me find the answer ​

Answers

Answer:

26b) 66.7%

27) 500 N

Explanation:

26.a) In a two pulley system, the load is attached to one of the pulleys.  The other pulley is attached to a fixed surface, as well as one end of the rope.  The other end of the rope goes around moving pulley, then around the fixed pulley.

26.b) Mechanical advantage is the ratio between the forces:

MA = load force / effort force

Efficiency is the ratio between the work:

e = work done on load / work done by effort

Work is force times distance.

e = (F load × d load) / (F effort × d effort)

Rearranging:

e = (F load / F effort) × (d load / d effort)

e = MA × (d load / d effort)

In a two pulley system, the load moves half the distance of the effort.  So the efficiency is:

e = (4/3) × (1/2)

e = 2/3

e = 66.7%

27) In a three pulley system, the load moves a third of the distance of the effort.

e = (F load / F effort) × (d load / d effort)

0.40 = (600 N / F) × (1/3)

F = 500 N

An aluminum bar 600mm long, with diameter 40mm long has a hole drilled in the center of the bar.The hole is 30mm in diameter and is 100mm long. If modulus of elasticity for the aluminum is 85GN/m2.Calculate the total contraction on the bar due to a compressive load in 180KN

Answers

Answer:

Total contraction on the Bar  = 1.22786 mm

Explanation:

Given that:

Total Length for aluminum bar = 600 mm  

Diameter for aluminum bar  = 40 mm

Hole diameter  = 30 mm

Hole length = 100 mm

elasticity for the aluminum is 85GN/m² = 85 × 10³ N/mm²

compressive load P = 180 KN = 180  × 10³ N

Calculate the total contraction on the bar = ???

The relation used in  calculating the contraction on the bar is:

[tex]\delta L = \dfrac{P *L }{A*E}[/tex]

The relation used in  calculating the total contraction on the bar can be expressed as :

Total contraction in the Bar = (contraction in part of bar without hole + contraction in part of bar with hole)

i.e

Total contraction on the Bar = [tex]\dfrac{P *L_1 }{A_1*E} + \dfrac{P *L_2 }{A_2 *E}[/tex]

Let's find the area of cross section without the hole and with the hole

Area of cross section without the hole is :

Using A = πd²/4

A = π (40)²/4

A = 1256.64 mm²

Area of cross section with the hole is :

A = π (40²-30²)/4

A = 549.78 mm²

Total contraction on the Bar = [tex]\dfrac{P *L_1 }{A_1*E} + \dfrac{P *L_2 }{A_2 *E}[/tex]

Total contraction on the Bar  = [tex]\dfrac{180 *10^3 \N }{85*10^3 \ N/mm^2} [\dfrac{500}{1256.64}+ \dfrac{100}{549.78}][/tex]

Total contraction on the Bar  = 2.117( 0.398 + 0.182)

Total contraction on the Bar  = 2.117*(0.58)

Total contraction on the Bar  = 1.22786 mm

Other Questions
Suppose you borrow $10,000 right now to start a business. If the terms of the loan require you to pay back $16,000 in 5 years, what is the implied annual compound interest rate Brian and his son have a total age of 84.Brian is 26 years older than his son .how old is Brian? What can you conclude about the intersection of a chord and the radius that bisects it Deborah Lewis, general manager of the Northwest Division of Berkshire Co., has significant authority over pricing decisions as well as programs that involve cost reduction/control. The data that follow relate to upcoming divisional operations: Average invested capital: $15,000,000 Annual total fixed costs: $3,900,000 Variable cost per unit: $80 Number of units expected to be sold: 120,000 Assume the unit selling price is $132 and that Berkshire has a 16% imputed interest charge. Top management will promote Deborah to corporate headquarters if her division can generate $200,000 of residual income (RI). If Deborah desires to move to corporate, what adjustment must the division do to the amount of annual total fixed costs? How early do sociologists believe parents begin socializing their children into gender? at birth and perhaps even in utero when children begin school when children say their first words when children start socializing with friends 3.249 thousandths rounded to the nearest tenth Help anyone who answers first will be brainlyest Describe the steps to solve a rational equation. Create your own example and solve it following your steps. Then, provide an additional example for other people to try to solve as they reply to your post. What would the busked of x be? In the sentence anodice what kind of phrase is underlined? 12x - y = -44x - 3y = -6 (1 point) A friend asks you to help them decide which crackers are healthier. Comparing approximately equal serving sizes of 1 cracker (approx. 4.5 g Breton serving size vs. 4.7 g Triscuit), which would be a better choice with regards to calories, fat and sodium content?a. Bretonb. Triscsuit what difference hockey between cricket On January 1, 20X6, Plus Corporation acquired 90 percent of Side Corporation for $180,000 cash. Side reported net income of $30,000 and dividends of $10,000 for 20X6, 20X7, and 20X8. On January 1, 20X6, Side reported common stock outstanding of $100,000 and retained earnings of $60,000, and the fair value of the noncontrolling interest was $20,000. It held land with a book value of $30,000 and a market value of $35,000 and equipment with a book value of $50,000 and a market value of $60,000 at the date of combination. The remainder of the differential at acquisition was attributable to an increase in the value of patents, which had a remaining useful life of five years. All depreciable assets held by Side at the date of acquisition had a remaining economic life of five years. Plus uses the equity method in accounting for its investment in Side. Based on the preceding information, the increase in the fair value of patents held by Side is: You are standing 5 miles away from the peak. You look up at a 47-degree angle to the peak. How tall is the mountain? Hint: 5280 feet = 1 mile. Round your answer to the nearest foot. CMS Corporation's balance sheet as of today is as follows: Long-term debt (bonds, at par) $10,000,000 Preferred stock 2,000,000 Common stock ($10 par) 10,000,000 Retained earnings 4,000,000 Total debt and equity $26,000,000 The bonds have a 4.0% coupon rate, payable semiannually, and a par value of $1,000. They mature exactly 10 years from today. The yield to maturity is 12%, so the bonds now sell below par. What is the current market value of the firm's debt which equation is represented by the graph below What is the numerator of the simplified sum? StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 EndFraction Rearrange the following steps in the correct order to locate the last occurrence of the smallest element in a finite list of integers, where the integers in the list are not necessarily distinct.a. return locationb. min a1 and location 1c. min ai and locationid. procedure last smallest(a1,a2,...,an: integers)e. If min >= ai then Brainliest to whoever gets this correct Which of the following is equal to the rational expression when x -3? x^2-9/x+3