In some cases, neither of the two equations in the system will contain a variable with a coefficient of 1, so we must take a further step to isolate it. Let's say we now have
3C+4D = 5
2C+5D = 2
None of these terms has a coefficient of 1. Instead, we'll pick the variable with the smallest coefficient and isolate it. Move the term with the lowest coefficient so that it's alone on one side of its equation, then divide by the coefficient. Which of the following expressions would result from that process?
a. C=53−43D
b. C=1−52D
c. D=25−25C
d. D=54−34C

Answers

Answer 1

Answer:

a) C = (5-4D)/3

Explanation:

Given the simultaneous equation

3C+4D = 5 .... 1

2C+5D = 2 .... 2

In order to isolate one of the variables, we will make one of the variables in any of the equation.

Using equation 1:

3C+4D = 5

Make C the subject of the formula:

Subtract 4D from both sides of the equation.

3C+4D-4D= 5-4D

3C = 5-4D

Divide both sides by 3:

3C/3 = (5-4D)/3

C = (5-4D)/3

Hence the expression that would result from the process is C = (5-4D)/3


Related Questions

An athlete can exercise by making mechanical waves in ropes. What is the
medium of these waves?
A. Energy
B. The rope
C. The athlete
D. Air

Answers

Answer:

It would be B. The Rope

Explanation:

I say this because the rope is transferring energy from one location to another. Now, I could be totally wrong on this but I think this is right lol.

Answer:

The answer is B the rope.

Hope this helps <3 ;)

Select the choice from the list below that most accurately completes the statements below. The first phrase will go in the first blank of the statement and the second phrase will go in the second blank.

A 1: greater than 2: because of Newton's Second Law
B 1: less than 2: because of Newton's Third Law
C 1: equal to 2: because of Newton's Third Law.
D 1: equal to 2: because of Newton's Second Law
E 1: less than 2: because of Newton's Second Law
F 1: greater than 2: because of Newton's Third Law.

You push a box horizontally along level ground but friction is causing the box to slow down. The magnitude of the friction force from the ground on the box is _________the magnitude of your force. You push a box horizontally along level ground at constant velocity. The magnitude of the friction force from the ground on the box is____________the magnitude of your force. You are standing on a hill where the ground is sloped. The magnitude of the normal force from the ground on you is___________the magnitude of the normal force from you on the ground. You are standing on a hill where the ground is sloped. The magnitude of the normal force from the ground on you is _____________the magnitude of your weight. You are facing your (very large and very strong) friend, Commander Worf. Worf gets very angry and pushes you to the ground. Worf remains stationary (a = 0). The magnitude of the force from Worf on you is __________the magnitude of the force from you on Worf. You are standing at a place where the ground is level. The magnitude of your weight is__________the magnitude of the normal force from the ground on you.

Answers

Answer:

this question requires us to use our knowledge of newton's 1st 2nd and 3rd laws to fill in the blank spaces. the words in bold are the answers to the question

Explanation:

1. You push a box horizontally along level ground but friction is causing the box to slow down. The magnitude of the friction force from the ground on the box is greater than the magnitude of your force because of newtons second law

2. You push a box horizontally along level ground at constant velocity. The magnitude of the friction force from the ground on the box is equal to the magnitude of your force because of newtons second law

3. You are standing on a hill where the ground is sloped. The magnitude of the normal force from the ground on you is equal to  the magnitude of the normal force from you on the ground because of newtons third law.

4. You are standing on a hill where the ground is sloped. The magnitude of the normal force from the ground on you is less than the magnitude of your weight because of newtons second law

5. You are facing your (very large and very strong) friend, Commander Worf. Worf gets very angry and pushes you to the ground. Worf remains stationary (a = 0). The magnitude of the force from Worf on you is equal to the magnitude of the force from you on Worf because of newtons third law

6. You are standing at a place where the ground is level. The magnitude of your weight is equal to the magnitude of the normal force from the ground on you newtons second law

Trently limited
Spiderman's cell phone falls from his pocket while he is surveying the city. His spider senses have
failed him. It takes the phone 3.6s to crash into the pavement below. How high up was Spiderman?

Answers

Answer:

h= 63.5 m

Explanation:

Assuming that air resistance is neglectable, and that the phone drops from Spiderman's pocket, we can use the following kinematic equation for the vertical displacement:

       [tex]\Delta h = \frac{1}2} * g* t^{2} = \frac{1}{2} *(-9.8 m/s2)*(3.6s)^{2} = -63.5 m[/tex]

[tex]\Delta h = y - y{o} = -63.5 m[/tex]Taking as zero level reference the ground level, we get:

        y₀ = h = 63.5 m

The system shown above consists of two identical blocks that are suspended using four cords, each of a different length. Which of the following claims are true about the magnitudes of the tensions in the cords? Select two answers.

Answers

Answer:

Option B and C are True

Note: The attachment below shows the force diagram

Explanation:

The weight of the two blocks acts downwards.

Let the weight of the two blocks be W. Solving for T₁ and T₂;

w = T₁/cos 60° -----(1)

w = T₂/cos 30° ----(2)

equating (1) and (2)

T₁/cos 60° = T₂/cos 30°

T₁ cos 30° = T₂ cos 60°

T₂/T₁ = cos 30°/cos 60°

T₂/T₁ =1.73

Therefore, option a is false since T₂ > T₁

Option B is true since T₁ cos 30° = T₂ cos 60°

Option C is true because the T₃ is due to the weight of the two blocks while T₄ is only due to one block.

Option D is wrong because T₁ + T₂ > T₃ by simple summation of the two forces, except by vector addition.

Which of the following is true about the strength of attraction or repulsion between particles with charge.
A. The larger the absolute value of the charges, the larger the force between them.
B. The larger the absolute value of the charges, the smaller the force between them.
C. The larger the distance between particles with charge, the larger the force between them.
D. The larger the distance between particles with charge, the weaker the force between them.

Answers

Explanation:

The force between charges is called electrostatic force. The force is given by the relation :

[tex]F=\dfrac{kq_1q_2}{d^2}[/tex]

Where

k is the electrostatic constant

d is the distance between charges

It is clear from the above formula that the electrostatic force is directly proportional to the product of charges and inversely proportional to the square of distance between them.

It means the larger the absolute value of the charges, the larger the force between them. Also, the larger the distance between particles with charge, the weaker the force between them.

How does your education contribute to comunity development

Answers

Because everybody in community needs to be smart & have some type of knowledge

In this activity, you're going to write a SUMMARY paragraph for this lesson over Measuring and Graphing Motion. In your summary, you will use the following keywords:

Graphs
X axis, Y axis
Motion
Speed
Distance-time graph
Position-time graph
Speed-time graph
Include examples for the types of graphs and how they tell a story about how something moves.

Answers

I can help just a bit i had this question before but i got it kinda right but wrong but now i know. First, write down each definition and look of examples and also search for the graphs for each one then write your summary about the question. I hope this kinda helps i don’t wanna get the question wrong for you :)


what is the objects final displacement

Answers

Answer:

Explanation:

The object starts at 0

It moves to - 2

It stops

It then moves to + 6

+6 - 2 = + 4

The new position is 4.

A car has initial velocity of 72 km/hr. It is accelerated at 2m/s2
Calculate the final velocity and distance covered after 3 sec.
What is the distance covered by a car in 3rd second?

Answers

Answer:

Vf=78

d=

Explanation:

vf=vi+at

=72+(2)(3)

=78km/hr

d=vit+1/2at^2

=(72)(3)+1/2 (2)(3)^2

=216+9

=225m

Answer:

1) 26m/s

2) 69 m

Explanation:

Hi there !

1)

a = (v₂ - v₁)/t => at = v₂ - v₁ => v₂ = at + v₁

v₁ = 72km/h = 72000m/3600s = 20m/s

v₂ = 2m/s²ₓ3s + 20m/s

= 6m/s + 20m/s

= 26 m/s

2)

d = v₁t + at²/2

= 20m/sₓ3s + 2m/s²ₓ9s²/2

= 60m + 9m

= 69 m

Good luck !

PLEASE PROVIDE EXPLANATION

Answers

Answer:

(a) 9.52

(b) 3.81

Explanation:

Draw a free body diagram of block m.  There are two forces:

Weight mg pulling down, and tension T₁ pulling up.

Draw a free body diagram of block M.  There are two forces:

Weight Mg pulling down, and tension T₂ pulling up.

Draw a free body diagram of the double pulley.  There are two torques:

Tension T₂ pulling counterclockwise at r, and tension T₁ pulling clockwise at R.

Let's assume that M moves down, m moves up, and the pulley rotates counterclockwise.

Sum of forces on block m in the +y direction:

∑F = ma

T₁ − mg = ma₁

T₁ = mg + ma₁

Sum of forces on block M in the -y direction:

∑F = ma

Mg − T₂ = Ma₂

T₂ = Mg − Ma₂

Sum of the torques about the pulley's center in the counterclockwise direction:

∑τ = Iα

T₂ r − T₁ R = (½ m₀ r² + ½ m₀ R²) α

T₂ r − T₁ R = ½ m₀ (r² + R²) α

Substitute:

(Mg − Ma₂) r − (mg + ma₁) R = ½ m₀ (r² + R²) α

The strings don't slip on the pulley, so a₁ = αR and a₂ = αr.

(Mg − Mαr) r − (mg + mαR) R = ½ m₀ (r² + R²) α

Mgr − Mαr² − mgR − mαR² = ½ m₀ (r² + R²) α

g (Mr − mR) − α (Mr² + mR²) = ½ m₀ (r² + R²) α

g (Mr − mR) = [½ m₀ (r² + R²) + Mr² + mR²] α

α = g (Mr − mR) / [½ m₀ (r² + R²) + Mr² + mR²]

α = (10) (9×0.2 − 1×0.5) / (½ (0.5) (0.2² + 0.5²) + 9(0.2)² + 1(0.5)²]

α = 19.0 rad/s²

Therefore:

a₁ = αR = (19.0 rad/s²) (0.5 m) = 9.52 m/s²

a₂ = αr = (19.0 rad/s²) (0.2 m) = 3.81 m/s²

A cat chases a mouse across a 1.0 m high table. The mouse steps out of the way, and the cat slides off the table and strikes the floor 2.3 m from the edge of the table. The acceleration of gravity is 9.81 m/s2. What was the cat's speed when it slid off the table? Answer in units of m/s.​

Answers

Analysing the question:

We are given that the cat chases a rat on a 1m high table, this means that the height of the cat before falling is 1 m

The horizontal velocity of the cat after sliding off the table will not change in mid-air since there is no force to oppose it

We are given:

height of the cat before falling (h) = 1 m

Distance covered by cat after falling off the edge = 2.3 m

acceleration due to gravity (a) = 9.81 m/s²

initial vertical velocity of the cat (u) = 0 m/s

Since the cat will fall at a constant horizontal velocity, the time taken by the cat to reach the ground times the constant speed of the cat will be equal to the horizontal distance covered by the cat  

[ since time taken to reach the ground = time for which the constant horizontal velocity will be applied]

The above can simply be written as:

time taken by the cat to reach the ground * horizontal velocity = horizontal distance covered

Time taken by the cat to reach the ground:

From the second equation of motion

s = ut + 1/2*at²

replacing the variables with vertical components

1 = (0)(t) + 1/2 * (9.8)(t²)

1 = 4.9t²

t² = 1  / 4.9

t = 1 / √4.9

t = 0.45 seconds

Cat's horizontal velocity when it slid off the table:

Speed of cat = distance travelled / time taken

here, the distance is the horizontal distance covered by the cat after falling off the table

replacing the variables

Speed of the cat = 2.3 / 0.45 = 5.11 m/s

Guys, please help, I need this answer urgently,

1. Ameylia conducted an experiment using a bar magnet and some paper clips. She divided the magnet into 5 parts, A, B, C, D and E. She put the magnet into a tray of paper clips. She noticed that thepaperclipsmoved towards the different parts of the magnet. She repeated the experiment thrice and recorded her observation in the table below.

Part A: 1st trial = 10 paper clips, 2nd trial=9 paper clips, 3rd trial =9 paper clips
Part B: 1st trial = 3 paper clips, 2nd trial=4 paper clips, 3rd trial =5 paper clips
Part C: 1st trial = 12 paper clips, 2nd trial=11 paper clips, 3rd trial =12 paper clips
Part D: 1st trial = 4 paper clips, 2nd trial=6 paper clips, 3rd trial =6 paper clips
Part E: 1st trial = 12 paper clips, 2nd trial=11 paper clips, 3rd trial =12 paper clips

a) Ameylia's teacher told her that there is a mistake in the results recorded for one part of the magnet. Identifyfor which part of the magnet, A,B,C,D or E is the results recorded wrongly. Give a reason for your answer.

Answer: Help me answer this question please????





Answers

Assuming she labelled the magnet A,B,C,D,E from one pole to the other, the results will he expected to show high numbers of clips at the two ends A and E. This means that the results at C are likely to be incorrect.

What is the main role of the cell membrane?

Answers

Answer:

The plasma membrane, or the cell membrane, provides protection for a cell. It also provides a fixed environment inside the cell, and that membrane has several different functions. One is to transport nutrients into the cell and also to transport toxic substances out of the cell.

The plasma membrane, or the cell membrane, provides protection for a cell. It also provides a fixed environment inside the cell, and that membrane has several different functions.

A liquid at rest in a fixed container exerts a force perpendicular to the wall of the container. Two students make claims about the microscopic cause of this force. Student A says that the force exerted by individual molecules as they bounce off the wall is always perpendicular to the wall. Student B says that the molecules may strike the wall at angles that are not perpendicular. Which student is correct and why?A. Student A . If the molecules hit at nonperpendicular angles, there would be a component of force parallel to the wall exerted on them. The net result would be macroscopic motion of the fluid.B. Student A . The molecules in a liquid are in random motion at the microscopic scale, so they move in every direction. Near the wall the molecules collide with each other in such a way that the components of their motion not parallel to the wall cancel.C. Student B . The molecules in a liquid are in random motion at the microscopic scale. For every atom that hits at an angle to one side of perpendicular, there is likely to be another atom hitting at the same speed at the same angle on the other side of perpendicular. On average the nonperpendicular components cancel.D. Student B . The walls of the container cannot move, so near the walls the parallel component of the motion of the molecules is cancelled by the net force the wall exerts on the liquid.

Answers

Answer:

C

Explanation:

Given that a liquid at rest in a fixed container exerts a force perpendicular to the wall of the container. Two students make claims about the microscopic cause of this force. Student A says that the force exerted by individual molecules as they bounce off the wall is always perpendicular to the wall. Student B says that the molecules may strike the wall at angles that are not perpendicular. Which student is correct and why?

The correct answer is option C

Student B . The molecules in a liquid are in random motion at the microscopic scale. For every atom that hits at an angle to one side of perpendicular, there is likely to be another atom hitting at the same speed at the same angle on the other side of perpendicular. On average the nonperpendicular components cancel

Jodi made a list about electric current to help her study for a test.

1) Movement of electrons is continuous in a current.
2) Electrons move from areas of low to high electric potential.
3) Voltage causes current to flow.
4) Rate at which current flows is measured in amperes.

Which best describes Jodi’s error?

A) The movement of electrons is not always continuous.
B) Electrons move from areas of high to low electric potential.
C) Resistance causes current to flow.
D) The rate at which current flows is measured in ohms.

Answers

Answer: The answer is B; Electrons move from areas of high to low electric potential

Explanation:

I had this question on a quiz and got it correct.

The required Electrons move from areas of high to low electric potential best describes Jodi’s error. Option B is correct.

What is electric current?

Electric current is the flow of electric charge through a material. It is typically expressed in units of amperes (A), which represent the rate at which charge flows through a conductor.

Here,
Jodi's error is in statement 2. Electrons move from areas of high electric potential to areas of low electric potential, not from low to high electric potential. This is because electric potential is a measure of the energy per unit charge, so electrons will naturally flow from areas of higher potential to areas of lower potential to balance out the potential difference.

Thus, the required, Electrons move from areas of high to low electric potential best describes Jodi’s error. Option B is correct.

Learn more about electric current here;

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The NCAA Sportsmanship Award honors students who demonstrate the ideals of sportsmanship, including __________. A. fairness B. honesty C. respect D. all of the above

Answers

Answer:

the answer is D

Explanation:

Just took the test

The NCAA Sportsmanship Award honors students who demonstrate the ideals of sportsmanship, including fairness, honesty and respect.

What is NCAA?

NCAA stands for National Collegiate Athletic Association. The NCAA is a organization which will be useful for the well being and the success for life long to the college Athelet.

A person who got graduate from high school and completed a minimum of 16 core courses for Division I or II and to earn a minimum required grade-point average in normal core courses and also must earn a qualifying test score on either the ACT or SAT will be eligible to join NCAA.

The NCAA Sportsmanship Award honors a student-athlete who will takes actions in the competitive arena of intercollegiate athletics and who demonstrated one or more of the ideals of sportsmanship, including fairness, civility, honesty, unselfishness, respect and responsibility.

Hence, Option D is the correct answer.

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3500 as a power of 10​

Answers

Answer: 3.5 × 10^3

Explanation:

A body start from rest are moves with uniform acceleration of 60m/1/5^2.what distance does it cover in third second?

Answers

Answer:

Let's see what to do buddy...

Explanation:

_________________________________

[tex]a = \frac{60}{ ({ \frac{1}{5}) }^{2} } = \frac{60}{ \frac{1}{25} } = 60 \times 25 \\ \\ a = 15 \times 4 \times 25 = 15 \times 100 \\ a = 1500 \: \frac{m}{ {s}^{2} } [/tex]

_________________________________

The body start from rest which means :

[tex]v(0) = 0[/tex]

_________________________________

In third second means :

t = 2 -----¢ t = 3 -----¢ t = 1

_________________________________

We have this equation to find the distance.

[tex] ∆x = \frac{1}{2} \: a \: {t}^{2} + v(0) \: t \\ [/tex]

_________________________________

[tex]∆x = \frac{1}{2} \times 1500 \times 1 + 0 \times 1 \\ \\ ∆x = 750 + 0 = 750[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Neutral hydrogen can be modeled as a positive point charge +1.6×10^−19C surrounded by a distribution of negative charge with volume density given by rhoE(r)=−Ae−2r/a0 where a0=0.53×10^−10m is called the Bohr radius, A is a constant such that the total amount of negative charge is −1.6×10^−19C, and e = 2.718 is the base of the natural log.

Required:
a. What is the net charge inside a sphere of radius a0?
b. What is the strength of the electric field at a distance a0 from the nucleus?

Answers

Answer:

a) 1.082 × 10⁻¹⁹C  ( e = 1.6 × 10⁻¹⁹C)  

b) 3.466 × 10¹¹ N/C

Explanation:

a)

p(r) = -A exp ( - 2r/a₀)

Q = ₀∫^∞ ₀∫^π ₀∫^2xπ p(r)dV  =  -A  ₀∫^∞ ₀∫^π ₀∫^2π   exp ( - 2r/a₀)r² sinθdrdθd∅

Q = -4πA ₀∫^∞ exp ( - 2r/a₀)r²dr = -e

now using integration by parts;

A = e / πa₀³

p(r) =  - (e / πa₀³) exp (-2r/a₀)

Now Net charge inside a sphere of radius a₀ i.e Qnet is;

= e - (e / πa₀³)  ₀∫^a₀ ₀∫^π ₀∫^2π  r² exp (-2r/a₀)dr

= e - e + 5e exp (-2) = 1.082 × 10⁻¹⁹C  ( e = 1.6 × 10⁻¹⁹C)  

b)

Using Gauss's law,

E × 4πa₀ ² = Qnet / ∈₀

E = 4πa₀ ² × Qnet × 1/a₀²

E = 3.466 × 10¹¹ N/C

What does the diameter in meters need to be of a round parachute that the designer has determined needs to have an area of 500 square meters?

Answers

area of a circle is
A= pi r^2
so
500m^2 = 3.14 r2
500/pi = r ^2
152.1549...=r^2
square root both sides
r=12.61566...
d=2r
d=25.2
to 3 sig fig

Which statement accurately describes an objects weight and mass?

Answers

Answer: A-p_Ex

Explanation: answer

If two vector are perpendicular to each other, how should you add them

Answers

Answer:

Using pythagoras theorem

Answer:

use the pythagorean theorem

Explanation:

A box is initially sliding across a level floor at 10 m/s before being subjected to the forces shown below.


Refer to the above information and diagram. What is the sum of forces for this FBD?

Answers

Answer:

200m

Explanation:

Frozen food will thaw more quickly when placed under running water than if it
is immersed in water. Why?

Answers

Answer:

google answers, i'm not 100% on how to type my own answer

Explanation:

Thaw food submerged under running water at a temperature of 70˚F (21˚C) or lower. The water flow must be strong enough to wash food particles into the overflow drain. In a microwave oven. You can safely thaw food in a microwave oven if the food will be cooked immediately.

The reason defrosting in water is preferable is because water conducts heat better than air. And the faster food is thawed, the better it tastes.

Answer:

The reason defrosting in water is preferable is because water conducts heat better than air. And the faster food is thawed, the better it tastes.

a 1,200 kg car travels at 20 m/s. what is it’s momentum ?

Answers

Answer:

24000 kg·m/s

Explanation:

Momentum is Mass x Velocity, so 1200 kg time 20 m/s =  24000 kg-ms/s

The momentum of the car is  24000 Kg•m/s

Momentum is defined as the product of mass and velocity. Mathematically, it can be expressed as:

Momentum = mass × velocity

With the above formula, we can obtain the momentum of the car as follow:

Mass = 1200 KgVelocity = 20 m/sMomentum =?

Momentum = mass × velocity

Momentum = 1200 × 20

Momentum of car = 24000 Kg•m/s

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what is canadas offical winter sport​

Answers

Answer:

Ice hockeyyyyyy

Explanation:

Ice Hockey
Good luck

you breathe in oxygen gas in air, but oxygen can exist in all four states. Four samples of oxygen have the same mass but are each in a different state. which statement about the relative amounts of thermal energy in the samples is true?

A. The sample of liquid has more energy that the sample of gas.

B. The sample of solid has more energy that the sample of gas.

C. The sample of plasma has less energy than the sample gas.

D. The sample of plasma has more energy than the sample of gas.

PLEASE HELP

Answers

It is true that the sample of plasma has more energy than the sample of gas. Option D is correct.

What is gas?

Gas is a sample of matter that adopts the shape of the container in which it is housed and develops a uniform density inside the container.

Liquid molecules are more energetic than solid molecules. Further heating will cause the molecules to move so quickly that they won't stick together at all. The gas molecules have the highest energy content.

Although oxygen is a gas that you breathe in, it may also exist in all four other states. The mass of the four oxygen samples is the same, yet they are all in distinct states.

Regarding the relative levels of thermal energy in the samples, statement B is accurate. Regarding the proportional quantities of thermal energy in the samples,

It is true that the sample of plasma has more energy than the sample of gas.

Hence, option D is correct.

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Average velocity of Mike Phelps swimming 100 m race in the 50 m long pool (2 laps) is approximately equal to

A. 0 m/s
B. 1 m/s
C. 2 m/s
D. 4 m/s

Answers

Answer:

I’m really not sur but I think it’s b

Explanation:

Three swimmers can swim equally fast relative to the water. They have a race to see who can swim across a flowing river in the least time. Swimmer A swims perpendicular to the current and lands on the opposite shore downstream, because the current has swept him in that direction. Swimmer B swims upstream at angle to the current, so that when she reaches the other side, she is straight across from where she started. Swimmer C swims downstream at an angle theta in an attempt to take advantage of the current. Who crosses the river in the least time?

Answers

I think its swimmer B because a and c are swimming downstream when they are trying to go across

A bike of mass 125 g accelerates at 29 mis? What is the net horizontal force acting on the bike, in the units of Newton?

Answers

Answer:

Force = F = 3.63 [N]

Explanation:

To solve this problem we must use Newton's second law, which tells us that the sum of all forces must be equal to the product of mass by acceleration.

where:

m = mass = 125 [g] = 0.125[kg]

a = 29 [m/s^2]

ΣF = m*a

F = (0.125*29)

F = 3.63 [N]

Other Questions
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