Answer:
The system has two solutions:
(1, -1) and (0, 0)
Explanation:
We have the system of equations:
x + y = 0
x = x^2 + 2*x*y
To solve this, the first step is to isolate one of the variables in one of the equations, I will isolate x on the first one.
x = -y
Now we can replace this on the other equation, to get:
x = x^2 + 2*x*y
(-y) = (-y)^2 + 2*(-y)*y
Now we can solve this equation for y.
-y = y^2 - 2*y^2
-y = -y^2
y^2 - y = 0
We can solve this using the Bhaskara's formula:
The solutions are then:
[tex]y = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*1*0} }{2*1} = \frac{1 \pm 1}{2}[/tex]
Then the two possible solutions are:
y = (1 + 1)/2 = 1
and
y = (1 - 1)/2 = 0
Suppose that we take the first one, y = 1.
Then the solution for x is given by "x = -y"
Then:
x = -1
This means that one solution of the system is (-1, 1)
If we take the other solution for y, y = 0
The value of x will be:
x = -y = -0 = 0
Then another solution of the system is (0, 0)
You look down at your phone GPS and it tells you the local park is 2 miles away. This is not a straight path and you will need to make a few turns to get there. The path you take to the park describes your ________ from the park
Answer:
Distance.[tex] \infty \infty [/tex]
Answer:
Distance
Explanation:
Because each path you take will have a different distance. Each path will be different, leading to a different distance. Hope this helped :D
What are the four major tasks of the digestive system?
Ingestion, Digestion, Absorption, Elimination.
Ingestion, Procrastination, Absorption, Face the Nation.
Congestion, Progestion, Ingestion, Elimination
Answer:
Option A
The four major tasks of the digestive system are - Ingestion, Digestion, Absorption, Elimination
Explanation:
A digestive system has primarily four main functions
a) Motility - In this the food is ingested through opening in the form of mouth and then it starts moving from the mouth via esophagus to the stomach
b) Digestion - In the stomach, the food gets digestion and then it is passed on to the intestine
c) Absorption - In the small intestine essential nutrients and water is absorbed
b) Secretion - The waste remaining after intestine digestion is passed on to the rectum for secretion
Hence, option A is correct
The bulk of geologic evidence indicates that the Earth's crust has been formed by unique, rapid ————- processes
Catastrophic
Uniformitarian
Please hurry!
A van accelerates from 4m/s to 20m/s in 8s. How far does it travel in this time?
Answer:
96 m
Explanation:
Given,
Initial velocity ( u ) = 4 m/s
Final velocity ( v ) = 20 m/s
Time ( t ) = 8 s
Let Acceleration be " a ".
Formula : -
a = ( v - u ) / t
a = ( 20 - 4 ) / 8
= 16 / 8
a = 2 m/s²
Let displacement be " s ".
Formula : -
s = ut + at² / 2
s = ( 4 ) ( 8 ) + ( 2 ) ( 8² ) / 2
= 32 + ( 2 ) ( 64 ) / 2
= 32 + ( 2 ) ( 32 )
= 32 + 64
s = 96 m
Therefore, it travels 96 m in time 8 s.
anyone pls ASAP it’s so important I will give brainlist or anuthing pls
A 1220-w hair dryer is used by several members of the family for a total of 30 min per day during a 30 day month. How much elecrical energy is consumed by the hair dryer during the month give your answer in kilowatt hours
Answer:
Energy = 18.3 Kilowatt-hour
Explanation:
Given the following data;
Power = 1220 Watts
Time = 30 * 30 = 900 minutes to hours = 900/60 = 15 hours
To find the energy consumption;
Power can be defined as the energy required to do work per unit time.
Mathematically, it is given by the formula;
[tex] Power = \frac {Energy}{time} [/tex]
Making energy the subject of formula, we have;
Energy = power * time
Energy = 1220 * 15
Energy = 18300 Joules
To convert energy to Kilowatt-hour;
Energy = 18300/1000
Energy = 18.3 Kilowatt-hour
A ray of light travels through air (n = 1.00) and
approaching the boundary with water (n =
1.33). The angle of incidence is 45.0°.
Determine the angle of refraction.
Answer:
32.1176°
Explanation:
In the picture above, I hope that it's a correct answer.
From the Snell's law, the angle of refraction will be 32.117°.
What is Snell's law?The Snell's law states that the ratio of sine of angle of incidence and angle of refraction is equal to the ratio of refractive index of second medium to the first medium.
sin i/sin r = n(water) / n(air)
r =sin⁻¹ (sin 45 x 1/ 1.33)
r =32.117°
The angle of refraction is 32.117°.
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The moist bread becomes mouldy after a few days when it is left in a container with a cover. Which of the following conditions favour the growth of the fungus?
Answer: Moisture and food (bread)
Explanation:
Mould grows best in humid, damp air/wet conditions.
Since the bread is moist it will provide humidity for the mould as well as food.
A container with a cover would not be a favoring condition as mould needs oxygen to grow and survive.
Dr. Kirwan is preparing a slide show that he will present to the executive board at tonight's committee meeting. He places a 3.50-cm slide behind a lens of 20.0 cm focal length in the slide projector. A) How far from the lens should the slide be placed in order to shine on a screen 6.00 m away? B) How wide must the screen be to accommodate the projected image?
Answer:
A) d_o = 20.7 cm
B) h_i = 1.014 m
Explanation:
A) To solve this, we will use the lens equation formula;
1/f = 1/d_o + 1/d_i
Where;
f is focal Length = 20 cm = 0.2
d_o is object distance
d_i is image distance = 6m
1/0.2 = 1/d_o + 1/6
1/d_o = 1/0.2 - 1/6
1/d_o = 4.8333
d_o = 1/4.8333
d_o = 0.207 m
d_o = 20.7 cm
B) to solve this, we will use the magnification equation;
M = h_i/h_o = d_i/d_o
Where;
h_o = 3.5 cm = 0.035 m
d_i = 6 m
d_o = 20.7 cm = 0.207 m
Thus;
h_i = (6/0.207) × 0.035
h_i = 1.014 m
If a person meets an accident, which of the following factors will have more effect on his Kinetic energy and hence on the fatality of the accident?
A.velocity of the vehicle
B.Mass of the vehicle
Answer:
b
Explanation:
two difference between hydraulic brake and hydraulic lift
Answer:
hydraulic lift pump moves the lift piston out in a series of movements. and a hydraulic brake moves it out in one short break.
pls help with science!!!!!
Answer:
Your answer is C~
Explanation:
8. Jay drives his truck to football practice. He gives Jen a ride. The truck stalls in the parking
lot. He gets out and pushes it, but it won't budge. He tells Jen to get out and help him
push. They manage to push the truck into a parking space. (Thank goodness he is a
tackle!) Which law applies?
Answer:
Action Reaction
Explanation:
Linear vectore F
can someone tell me what the quote means
Answer:
What the quote means is that if a person contains so much hatred they would be able to light up the whole world beacuse they hate so much and love so little.
Answer:
Explanation: lifehack.org explains this quote as, "Passions or emotions can fire up enough energy to upset events. It is better to be able to deal with negative emotions and make them count in a positive way. Rather than allow your hate to be dominant, try and focus on making your love an umbrella above everything you do."
Which way does the weight point in an FBD?
the answer would depend on the motion of the object
down
perpendicular to the surface
up
Answer:
the answer would depend on the motion if the surface
can we detect em waves with our eyes?
tru or false
Explanation:
TRUE
Your eyes detect electromagnetic waves that are roughly the size of a virus. Your brain interprets the various energies of visible light as different colors, ranging from red to violet. ... On the other end of the spectrum are gamma rays, with wavelengths billions of times smaller than those of visible light
The lens of a telescope has a diameter of 25 cm. You are using it to look at two stars that are 2 × 1017 m away from you and 6 × 109 m from each other. You are measuring light with a wavelength of 700 nm. As the light goes through the lens, it diffracts. a. Is it possible, using this telescope, to see the two stars as separate stars? b. What is the minimum possible lens diameter you would need in order to resolve these two stars?
Answer:
a)It is NOT possible using this telescope, to see the two stars as separate stars
b)[tex]d_{min} =28.466m[/tex]
Explanation:
From the question we are told that:
Diameter of lens,[tex]d = 25 cm \approx 0.25 m[/tex]
Distance from both star [tex]D_f= 2*10^{17} m[/tex]
Distance between both stars [tex]D_b= 6*10^9 m[/tex]
Wavelength of light [tex]\lambda =700 nm \approx 700*10^-9 m[/tex]
Generally the equation for angle subtended by the two stars at the lens is mathematically given by
[tex]\theta=\frac{D_f}{D_b}[/tex]
[tex]\theta=\frac{6*10^9}{2*10^{17}}[/tex]
[tex]\theta=3.0*10^{-8} rad[/tex]
Generally the equation for minimum angular separation of two object is mathematically given by
[tex]\theta_{min} = 1.22*\lambda/d[/tex]
[tex]\theta_{min}= \frac{1.22*700*10^-9}{0.25}[/tex]
[tex]\theta_{min}= 3.416*10^-^6 rad[/tex]
Therefore
[tex]\theta < \theta_{min}[/tex]
[tex]3.0*10^{-8} rad< 3.416*10^-^6 rad[/tex]
It is NOT possible using this telescope, to see the two stars as separate stars
b)
Generally the equation for minimum diameter of the lens is mathematically given by
[tex]d_{min} =\frac{ 1.22*\lambda}{\theta}[/tex]
[tex]d_{min} =\frac{ 1.22*700*10^{-9}}{3*10^{-8}}[/tex]
[tex]d_{min} =28.466m[/tex]
Always swim with a _____, no matter where you are
A.Partner
B.bikini
C.floatation device
D.hair cap
Help ASAP!
Answer:
A.
Explanation:
Never swim alone just in case something happens
Answer:
the answer is partner
Explanation:
this is common sense. if you are drowning or need help your partner will either be able to help you, or get help this is why u should NEVER swim alone no matter where or who you are. May i be marked brainliest?
identify 2 properties of sound waves
The flow of electrons in a circuit follows a path from the negative terminal of the battery to the positive terminal
Answer:
No it's not true electric grow from Positive terminal to negative terminal
WORTH 15 POINTS WILL GIVE BRAINLIEST
What is the mechanical advantage of a handle on a water well that requires 5 newtons of force to lift a 40-Newton bucket of water?
200
8
0.125
12.5%
Option B. The mechanical advantage of a handle on a water well that requires 5 newtons of force to lift a 40-Newton bucket of water is 8.
Mechanical advantage is a measure of the force amplification completed by means of the usage of a device, mechanical tool or gadget device. The device trades off input forces towards motion to gain a preferred amplification in the output pressure.
The version for this is the regulation of the lever. The mechanical advantage is the degree how which tons of force is increased with the aid of using a device or gadget. it is equal to the pressure exerted with the aid of the tool or system divided via the carried-out effort.
calculation:-
Mechanical advantage = load/effort
= 40/5
= 8
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A bus contains a 1500 kg flywheel (a disk that has a 0.600 m radius) and has a total mass of 10,000 kg.
(a) Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 20.0 m/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy.
(b) How high a hill can the bus climb with this stored energy and still have a speed of 3.00 m/s at the top of the hill? Explicitly show how you follow the steps in the Problem-Solving Strategy for Rotational Energy.
Answer:
Explanation:
moment of inertia of flywheel = 1/2 m R²
= .5 x 1500 x .6²
= 270 kg m²
If required angular velocity be ω
rotational kinetic energy = 1/2 I ω²
= .5 x 270 x ω² = 135 ω²
kinetic energy of bus when its velocity is 20 m/s
= 1/2 x 10000 x 20²
= 2000000 J
Given 90 % of rotational kinetic energy is converted into bus's kinetic energy
135 ω² x 0.9 = 2000000 J
ω²=16461
ω = 128.3 radian /s
b )
Let the height required be h .
Total energy of bus at the top of hill = mgh + 1/2 m v²
m ( gh + .5 v²)
= 10000 ( 9.8h + .5 x 3²)
From conservation of mechanical energy theorem
10000 ( 9.8h + .5 x 3²) = 2000000
9.8h + .5 x 3² = 200
9.8h = 195.5
h = 19.95 m .
A rollercoaster cart that has a mass of 4500 kg has 67.5 kJ (kilojoules), or 67,500 J (joules), of gravitational potential
energy. What is its height above the ground?
PT.2
The same 4500 kg rollercoaster cart is moving with 63.0 kJ (kilojoules), or 63,000 J (joules), of kinetic energy at the
bottom of its biggest hill. What is its velocity?
Answer: The height of rollercoaster cart above the ground is 1.53 m.
The velocity of rollercoaster cart is 5.29 m/s.
Explanation:
Potential energy is the energy occupied by a substance due to its position. Formula for potential energy is as follows.
P.E = mgh
where,
m = mass of substance
g = gravitational constant = [tex]9.8 m/s^{2}[/tex]
h = height
Substitute the values into above formula as follows.
[tex]P.E = m \times g \times h\\67500 J = 4500 kg \times 9.8 m/s^{2} \times h\\h = \frac{67500 J}{4500 kg \times 9.8 m/s^{2}}\\= 1.53 m[/tex]
Hence, the height of rollercoaster cart above the ground is 1.53 m.
Kinetic energy is the energy occupied by the motion of a substance. Formula for kinetic energy is as follows.
[tex]K.E = \frac{1}{2}m \times v^{2}[/tex]
where,
m = mass of substance
v = velocity of substance
Substitute the values into above formula as follows.
[tex]K.E = \frac{1}{2}m \times v^{2}\\63000 J = \frac{1}{2} \times 4500 kg \times v^{2}\\v^{2} = \frac{63000 J \times 2}{4500 kg}\\v = 5.29 m/s[/tex]
Hence, the velocity of rollercoaster cart is 5.29 m/s.
The angle of incidence of another red ray is 65º. The refractive index of the glass of block
ABCD for red light is 1.62.
(i) Calculate the angle of refraction in the glass for this ray.
Answer:
34º
Explanation:
The computation of the angle of refraction in the glass for this ray is shown below:
Given that
the angle of incidence of another red ray is 65º
And, n_1 = 1
n_2 = 1.62
According to shell law
n_1 sin [tex]\theta[/tex]_1 = n_2 sin [tex]\theta[/tex]_r
sin [tex]\theta[/tex]_r = 1 sin 65÷ 1.62
= 0.559
[tex]\theta[/tex]_r = sin^-1 (0.559)
= 34º
A proton is moved so that its electric potential energy increases from 2.0 × 10-18 J to 6.0 × 10-18 J. The magnitude of the charge on a proton is 1.602 × 10-19 C.
The electric potential difference through which the proton moved, to the nearest whole number, is
V.
Answer:
25v
Explanation:
right on edge
1. Jen is stepping out of a boat on to a dock. She has one foot on the dock and one foot in
the boat. No one holds on to the boat. It begins to move away from the dock. Jen's legs
split wider and wider. Which law applies?
you tend to push off with the foot still on the boat.
Newtons 3rd law of motion hold that every action has an equal and opposite reaction.
So, the amount of force you use on your back foot to push yourself onto the dock, has an equal end opposite amount of force going the other way from your sole of your foot, which pushes the boat the other way.
The same principle applies when you fire a cannon - in the pirate films, you see the body of the cannon forced back as it is fired.
Take it one step further, Henry VIII flagship, “Mary Rose fired all its cannons together one day in a broad side, the opposite force rolled the ship over and sank it.
The illustration in figure below shows a uniform metre rule weighing 30 N pivoted on a wedge placed under the 40 cm mark and carrying a weight of 70 N hanging 2 from the 10 cm mark. The ruler is balanced horizontally by a weight W hanging from the 100 cm mark. Calculate the value of the weight W.
Answer:
W = 30 N
Explanation:
Applying the summation of torques about the wedge for equilibrium, taking the clockwise direction as negative. Since the ruler is balanced horizontally about the wedge. Therefore, the summation of all torques acting about the wedge must be equal to zero.
[tex](70\ N)(40\ cm - 10\ cm)-(30\ N)(50\ cm-40\ cm)-(W)(100\ cm - 40\ cm) = 0\\W(60\ cm) = (70\ N)(30\ cm)-(30\ N)(10\ cm)\\\\W = \frac{1800\ N.cm}{60\ cm}[/tex]
W = 30 N
A) write the name of any two instrument based on atmoshpheric pressure.
B)Which chemical is used to increase the setting period of cement?
C)What are the near point and far point of normal eye?
Answer:
Explanation:(a)Mercury Barometer and Aneroid Barometer
(b)Gypsum
(c)Near point of human eye is 25 cm and the far point is infinity.
A , as recorded by a seismometer,will be a lot of vibration versus timeline
Answer:
Subscribe my Gaming channel Sameer Duos
Explanation:
Generally, a seismograph consists of a mass attached to a fixed base. During an earthquake, the base moves and the mass does not. The motion of the base with respect to the mass is commonly transformed into an electrical voltage. The electrical voltage is recorded on paper, magnetic tape, or another recording medium.
True or False. The Magnitude of the induced voltage in a coil of wire depends on how quickly the magnetic flux through the coil of wire changes.
Answer:
Yes, its true
Explanation:
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Answer: yes its true
Explanation:
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