Answer:
[tex]x=1,y=\frac{7}{2}[/tex]
Explanation:
Given the following question:
[tex]5x-2=3[/tex]
[tex]-5+4y=9[/tex]
To solve a system of equations we must start by solving the first equation for x, and then we substitute the value of x in in the second equation and then solve for y to find the value of both variables.
[tex]5x-2=3[/tex]
[tex]-5+4y=9[/tex]
[tex]-2+2=0[/tex]
[tex]3+2=5[/tex]
[tex]5x=5[/tex]
[tex]5x\div5=x[/tex]
[tex]5\div5=1[/tex]
[tex]x=1[/tex]
Substitute and solve the second equation:
[tex]x=1[/tex]
[tex]-5+4y=9[/tex]
[tex]-5+5=0[/tex]
[tex]9+5=14[/tex]
[tex]4y=14[/tex]
[tex]4y\div4=y[/tex]
[tex]\frac{14}{4} =\frac{7}{2}[/tex]
[tex]y=\frac{7}{2}[/tex]
Your answers are "x = 1, and y = 7/2."
Hope this helps.
Answer:
x=1 and y=7/2Explanation:
To solve this problem, isolate the term of x from one side of the equation.
5x-2=3 and -5+4y=9
5x-2=3First, add by 2 from both sides.
5x-2+2=3+2
Solve.
3+2=5
Rewrite the problem down.
5x=5
Divide by 5 from both sides.
5x/5=5/5
Solve.
5/5=1
x=1
-5+4y=9First, add by 5 from both sides.
-5+4y+4=9+5
Solve.
9+5=14
4y=14
Divide by 4 from both sides.
4y/4=14/4
Solve.
14/2=7
4/2=2
Rewrite as a fraction.
y=7/2
Dividing is another option.
7/2=3.5
y=7/2
Therefore, the correct answer is x=1 and y=7/2.
I hope this helps you! Let me know if my answer is wrong or not.
A steel piano wire 0.721 m long has a cross-sectional area of 0.00633 cm2. When under a tension of 169 N, how much does it stretch? Young's Modulus for the wire is 2 x 1011 N/m2. Answer in units of mm.
For a steel piano wire, 0.721 m long has a cross-sectional area of 0.00633 cm2. is mathematically given as
de=9.624723*10^{-4}m
What is the length of the wire stretch ?Generally, the equation for the Hooks law is mathematically given as
F/A=Yde/e
Therefore
dl=fe/Ay
de=\frac{169*0.721}{0.00633*10^{-4}*2 x 10^{11} }
de=9.624723*10^{-4}
In conclusion, the wire stretch
de=9.624723*10^{-4}m
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How do you determine the effect of initial speed on the horizontal distance traveled by a projectile?
x(t)=voₓ.t = vo cos α.t
the greater the initial speed, the further the distance obtained
The horizontal distance traveled by a projectile (also known as the range of the projectile) is determined by the initial speed of the projectile, as well as other factors such as the angle at which it is launched and the gravitational acceleration acting on it.
What is a projectile?A projectile is an object that is projected into the air and follows a parabolic path under the influence of gravity. Examples of projectiles include balls thrown or kicked in sports, bullets fired from guns, and rocks or other objects that are thrown or dropped.
To determine the effect of the initial speed on the horizontal distance traveled by a projectile, you can use the following formula:
[tex]Range = (Initial speed)^2 * sin(2 * Launch angle) / gravitational acceleration[/tex]
This formula shows that the range of a projectile is directly proportional to the initial speed of the projectile squared, and is also affected by the launch angle and gravitational acceleration.
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The "Time Bandit" is one of the many fishing vessels from the television series "Deadliest Catch". While searching for crab during one of its crabbing excursions, it travels 15 km north and then 7 km west from its starting position. What was his straight line displacement during this part of its trip? Be careful to read the units I gave you!
Answer:
Displacement = 16.55 km
Explanation:
The straight line displacement can be found by finding the resultant of both the displacements. The displacements given to us are 15 km north and 7 km west. Since, west and north directions are perpendicular to each other. Therefore, the displacements will also be perpendicular and they can be modelled as the rectangular components of resultant straight line displacement. So, the resultant straight line displacement can be found by using Pythagorean Theorem:
Displacement = √[(15 km)² + (7 km)²]
Displacement = 16.55 km
Hence, his straight line displacement during this part of trip will be 16.55 km
Find the magnitude of the sum
Answer:
8.57 m
Explanation:
To solve the problem, we have to decompose the two vectors along the two directions first:Vector A:- x component: Ax = +9.66 m- y compoment: Ay = 0 (the vector lies along the x-axis)Vector B:- x component: - y component: So now we can find the sum of the two vectors by adding the components along each axis:And the magnitude of the sum is given by Pythagorean theorem:
list some adaptations you would have to change of daylight only lasted 2 hours.
Answer:
Food and oxygen would eventually become major problems.
We would need HUGE banks of photocells which would be used to charge batteries (or some other energy storing system, liked pumped water)
The batteries would power banks of LED "grow lights" in greenhouses to provide us with food and oxygen.
This would have to be done on a monumental scale, largely to replace the huge quantities of oxygen generated by life in the oceans.
1. A dog of mass 5 kg jumps on a table of mass 30 kg. As the dog walks around on the table, what is the average force that the table applies to the dog?
Answer:
50N
The table is managing to keep the dog up, the dog is not moving up or down so the force that the table applies to the dog must be equal to the dogs weight - I draw this conclusion from Newton's 3rd law.
W= mg
W = 5 × 9.8
W = 49N
round to.one significant figure = 50N
The force that the table applies on the dog is required.
The force that the table applies to the dog is [tex]10\ \text{N}[/tex]
m = Mass of dog = 5 kg
g = Acceleration due to gravity is assumed to be [tex]10\ \text{m/s}^2[/tex]
Force is given by
[tex]F=mg[/tex]
[tex]\Rightarrow F=5\times 10[/tex]
[tex]\Rightarrow F=10\ \text{N}[/tex]
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Questions
2.
Rewrite the following quantities using suitable
prefixes
5000 000
Which force is represented by the arrow at A?
A) Force of Friction
B) Force of gravity
C) Normal Force
D) Tension Force
Which force is represented by the arrow at A?
B) Force of gravityLet us understand the situation first and then we will understand which type of force is represented by arrow A
The line to which arrow A is being touched is the ground and the block is being slid down a slope.The arrow A is representing the force that is being applied by the earth on the block and that force is Gravitational Force. So, Option B is the correct choice!!~One of the world's fastest helicopters, the Westland Lynx, has a top speed of
4.00x 10^2 km/h. If its kinetic energy at this speed is 2.10 x 10^7J what is the helicopter’s mass?
The mass of the helicopter is 3402 kg.
What is kinetic energy?Kinetic energy is the energy possessed by a body as a result of its motion.
The kinetic energy of a body depends on its mass and velocity as shown below:
[tex]Kinetic\:energy = \frac{1}{2}mass*velocity[/tex]
[tex]mass = \frac{2KE}{{velocity}^{2} }[/tex]
velocity = 4.00x 10^2 km/h = 111.11 m/s
kinetic energy = 2.10 x 10^7J
[tex]mass = \frac{2 \times 2.1 \times {10}^{7} }{{111.11}^{2}} = 3402 \: kg[/tex]
Therefore, the mass of the helicopter is 3402 kg.
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Blank donates its outer electron to the blank atom
I’m a freshman who doesn’t know about physics, help me out?
Some students are investigating how resonance works using two tuning forks. Put the steps in the process in the correct order.
1.
Hold the vibrating tuning fork right beside the other one.
2.
The second tuning fork will begin to vibrate at the same rate as the first one.
3.
Strike one tuning fork on the edge of the table to make it vibrate.
Answer:
1. Strike one tuning fork on the edge of the table to make it vibrate.
2. Hold the vibrating tuning fork right beside the other one.
3. The second tuning fork will begin to vibrate at the same rate as the first one.
Explanation:
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A roller coaster car is released from a standing start at the top of a 20.0-m hill. The car rolls down the hill to a point 10.0 m above the ground, then up a second hill to 15.0 m, and then down again to point X at 8.00 m above the ground. Use what you know about the sum of the kinetic and potential energies to find the car's speed at X.
A.
11.7 m/s
B.
12.5 m/s
C.
15.3 m/s
D.
19.8 m/s
Answer:
21.5 i did the assesment
Explanation:
Calculate the momentum when a toy car of mass 140g moves at 5m/s
Answer:
P = 0.7 [kg*m/s]
Explanation:
The amount of linear momentum is defined as the product of mass by Velocity. This way you have the following equation:
P = m*v
P = momentum [kg*m/s]
m = mass = 140 [g] = 0.140 [kg]
v = velocity = 5 [m/s]
P = 0.140*5
P = 0.7 [kg*m/s]
For a substance to change from a liquid to a solid, what must happen to its
particles?
Answer:
The answer is see the person above is correct They must lose enough other kinetic energy so that the attractions between them hold in place has been vibrate
Explanation:Got it correct
For a substance to change from a liquid to a solid, the particles must lose enough of their kinetic energy so that the attractions between them hold in place as they vibrate. Thus, the correct option is C.
What is Kinetic energy?Kinetic energy is the energy which an object has because of its motion. If we want to accelerate an object, then it is required to apply a certain amount of force. Applying a force requires us to perform work. After work has been done on the object, then the energy has been transferred to the object, and the object will be moving with a new constant speed and no acceleration.
For a substance to change from a liquid to a solid, the particles must lose enough of their kinetic energy so that the attractions between them hold in place as they vibrate.
Therefore, the correct option is C.
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How far does a plane fly in 10.0 s while its velocity is changing from 175 m/s to 105 m/s at a uniform rate of
acceleration?
Answer:
1650 meters
145=75+a.15
Answer:
1400 m
Explanation:
Given:
v₀ = 175 m/s
v = 105 m/s
t = 10.0 s
Find: Δx
Δx = ½ (v + v₀) t
Δx = ½ (105 m/s + 175 m/s) (10.0 s)
Δx = 1400 m
3 kg of water (c = 4,186 J /kg°C) is at an initial temperature of 10°C. If 7,700 J of heat is applied, what will be its final temperature? Show all of your work and use the correct units for full credit.
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-Here , The initial temperature of 3kg of water is 10° CThe heat supplied to 3kg water is 7,700 JThe specific heat of water is 4186 J/kg ° C To Find :-We have to find the final temperature of water .Let's Begin :-Here, we have
Mass = 3 kg Specific heat capacity = 4186 J/kg°CInitial temperature = 10° CHeat applied = 7,700JWe know that,
Specific heat is the heat that is required to increase the temperature of 1 kg or unit mass by 1° C or unit ° CThat is,
[tex]\bold{\red{ C = }}{\bold{\red{\dfrac{ Q}{m{\delta}T}}}}[/tex]
Here, Change in temperature is ΔT that is, Final temperature - Initial temperatureSo,
[tex]\sf{{\delta} T = }{\sf{\dfrac{ Q}{Cm}}}[/tex]
Subsitute the required values,
[tex]\sf{ T2 - 10 = }{\sf{\dfrac{ 7700}{3{\times}4186}}}[/tex]
[tex]\sf{ T2 - 10 = }{\sf{\dfrac{ 7700}{12558}}}[/tex]
[tex]\sf{ T2 - 10 = }{\sf{\cancel{\dfrac{ 7700}{12558}}}}[/tex]
[tex]\sf{ T2 - 10 = 0.61 }[/tex]
[tex]\sf{ T2 = 0.61 + 10 }[/tex]
[tex]\bold{ T2 = 10.61 {\degree} C}[/tex]
Hence, The final temperature of 3kg if 7,700 J of heat supplied is 10.61 °C
Can someone please give me the (Answers) to this? ... please ...
I need help….
Note : Please discard your other answers as they are incorrect. I have personally solved this problem and have attached the appropriate image.
Have a blessed day, if you have any follow-up questions please reach out!
Stay safe!
- Robert
1.1
Which of the following pairs can be classified as vectors?
A. Friction and mass
B. Mass and inertia
C. Inertia and weight
D. Weight and friction
Answer:
D
Explanation:
Weight and friction are paired as vectors
A book with a mass of 1 kg is dropped from a height of 3 m. what is the potential energy of the book when it reaches the floor
Answer:
PE=mgh
Where; m is the mass
g is the gravitational force.
h is the height.
the mass is 1kg, the acceleration due to gravity has a constant value of 10ms² . And the height is 3m.
mgh= 1 x 10 x 3 = 30Joules
Constructive interference is when two waves meet at the crest.
True
False
Answer:
True
Hope it will be
And pls mark me as brainlist
how are acceleration and speed related
Answer:
Acceleration is the rate of change of velocity. Usually, acceleration means the speed is changing, but not always. When an object moves in a circular path at a constant speed, it is still accelerating, because the direction of its velocity is changing. Comment on robshowsides's post “Speed is the magnitude of velocity.
Explanation:
hope it helped tee hee
At a distance of 100 km from a small,
electrically charged asteroid, it is found
that there is an electric field of 300 V/m. How much charge does the asteroid
carry?
Answer:
E = K Q / R^2 electric field due to charge Q
Q = E * R^2 / K = 300 N / C * (10^5)^2 m^2 / (9.0E9 nt-m^2/C^2)
Q = 333 C
The car went from the initial velocity of 35 m/s to the final velocity of 65 m/s in 5 seconds. What is the acceleration
Answer:
Acceleration = Final velocity - initial velocity / time take
65-35=30 , 30/5=6
Acceleration = 6m s-2
Explanation:
An engineer is trying to determine the height from which she needs to release a 52kg wrecking ball
such that the wrecking ball will be traveling 12.3m/s when it strikes the building at the position
shown. Neglect drag.
The height from which the engineer needs to release the ball is : 11.811 m
Given data:
Mass of wrecking ball = 52 kg
velocity of wrecking ball ( Vf ) = 12.3 m/s
Initial velocity of ball ( Vi ) = 0 m/s
final height ( hf ) = 4.1 m
Determine the height from which the engineer releases the ballApplying the principle of energy conservation
Initial energy = final energy
= 1/2 mV²i + mghi = 1/2 mV²f + mghf ----- ( 1 )
given that Vi = 0 also cancelling out m from both sides
Equation ( 1 ) becomes
= 0 + hi = V²f / 2g + hf
therefore : hi = ( 12.3 )² / 2 * 9.81 + 4.1
= 151.29 / 19.62 + 4.1
= 11.811 m
Hence we can conclude that The height from which the engineer needs to release the ball is : 11.811 m
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Attached below is the missing image related to your question
Raymond cattell created the 16pf self-inventory assessment by first taking 4,504 personality traits and removing all of the __________. a. nouns b. homonyms c. synonyms d. antonyms please select the best answer from the choices provided a b c d
Raymond Cattell created the 16pf self-inventory assessment by first taking 4,504 personality traits and removing all of the synonyms.
What exactly is a synonym?This is defined as a word or phrase that has a similar meaning to another word or phrase.
By removing synonyms from the personality traits, Raymond Cattell created the 16PF self-inventory assessment.
Hence Raymond Cattell created the 16pf self-inventory assessment by first taking 4,504 personality traits and removing all of the synonyms.
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Which best illustrates the way in which radiation transfers thermal energy?.
Answer:
Before coming into any conclusion, first we have to understand radiation and conduction.
Radiation is the type of mode of transmission of thermal energy in which the radiations travels through space or vacuum without heating the intervening medium.
On the other hand, conduction is the mode of transmission of heat from one body to another body which are in contact with each other or hotter part to the colder parts of a body without any transport of material particle.
Heat always flows from a body at higher temperature to a body at a lower temperature in absence of external work done. The reverse is not possible in normal case.
Heat is flowing from hot body to cold body, and there is no direct contact between the body. It explains correctly the mode of transmission of thermal energy through the process of radiations.
What is the equation for the speed of a wave? Identify each variable.
Answer:
Wave speed is related to wavelength, frequency, and period by the equation wave speed = frequency x wavelength.
Explanation:
I hope my answer helped <3 Have a nice day
The equation for the speed of the wave is v = λ × f. The speed of a wave depends on wavelength and frequency.
The rate at which a wave moves across a medium is referred to as its speed. It displays the speed at which the wave's disruption or energy spreads. The characteristics of the medium a wave travels through affect its speed.
The equation for the wave's speed (v) for a mechanical wave, such as one moving via a string or a spring, is as follows:
v = λ × f
Here:
v = speed of the wave
λ = wavelength of the wave
f = frequency of the wave
Hence, the equation for the speed of the wave is v = λ × f. The speed of a wave depends on wavelength and frequency.
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how are force and mass related
Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
it took 500 newtons of force to push a car 4meters how much work was done?
Answer:
The answer is 2000 JExplanation:
The work done by an object can be found by using the formula
workdone = force × distance
From the question we have
workdone = 500 × 4
We have the final answer as
2000 JHope this helps you