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)
If you increase the frequency of a sound wave four times, what will happen to its speed?
A. The speed will increase four times.
B. The speed will decrease four times.
C. The speed will remain the same.
D. The speed will increase twice.
E. The speed will decrease twice.
Answer:
d
Explanation:
What are parts of a pulley
The bulk of geologic evidence indicates that the Earth's crust has been formed by unique, rapid ————- processes
Catastrophic
Uniformitarian
Please hurry!
why was Idi Amin labeled as one of the Africa's cruelest dictators
Answer: He was labeled as one of Africa's cruelest dictators because during his eight year reign many civilians were massacred. He drove out Uganda's Indian and Pakistani citizens and spent large amount of money on the military which led to the economic decline of the country.
Explanation:
a body falls freely from rest.calculate it's acceleration
Answer:
10 m/s²
Explanation:
Since the body is falling freely from the rest, it will be having an acceleration equal to the acceleration due to gravity.
∴ Acceleration = g = 9.8 m/s². ≈ 10 m/s².
Answer:
10 m/s^2 I hope it helps u a lot
Use Newton's second law of motion and a free-body diagram to...
1. ...calculate the normal force acting upon a 50-kg passenger who accelerates upward at a rate of 3.0 m/s/s.
2. ...calculate the normal force acting upon a 50-kg passenger who accelerates downward at a rate of 3.0 m/s/s.
Please don't put any links or I will report you.
A wave has a wavelength of 4 m and a frequency of 85 Hz. What is the speed of this wave?
The speed of wave with a wavelength of 4 m and a frequency of 85 Hz is 340m/s
The speed of a wave is the product of the frequency of the wave and its wavelength. Mathematically, it is expressed as:
[tex]v = f \lambda[/tex] where:
f is the frequency
[tex]\lambda[/tex] is the wavelength
Given the following:
f =85Hz
[tex]\lambda[/tex] = 4 m
Substitute the given parameter into the formula:
v = 85 × 4
v = 340m/s
Hence the speed of wave with a wavelength of 4 m and a frequency of 85 Hz is 340m/s
Learn more here: https://brainly.com/question/15721131
a stone is thrown horizonttaly from a cliff of a hill with an initial velocity of 30m/s it hits the ground at a horizontal distance of 80m from the foot of the hill how long does a stone travel? what is the height of the hill? (please show the process)
Answer:
a) Time = 2.67 s
b) Height = 35.0 m
Explanation:
a) The time of flight can be found using the following equation:
[tex] x_{f} = x_{0} + v_{0_{x}}t + \frac{1}{2}at^{2} [/tex] (1)
Where:
[tex] x_{f}[/tex]: is the final position in the horizontal direction = 80 m
[tex] x_{0}[/tex]: is the initial position in the horizontal direction = 0
[tex]v_{0_{x}}[/tex]: is the initial velocity in the horizontal direction = 30 m/s
a: is the acceleration in the horizontal direction = 0 (the stone is only accelerated by gravity)
t: is the time =?
By entering the above values into equation (1) and solving for "t", we can find the time of flight of the stone:
[tex] t = \frac{x_{f}}{v_{0}} = \frac{80 m}{30 m/s} = 2.67 s [/tex]
b) The height of the hill is given by:
[tex] y_{f} = y_{0} + v_{0_{y}}t - \frac{1}{2}gt^{2} [/tex]
Where:
[tex] y_{f}[/tex]: is the final position in the vertical direction = 0
[tex] y_{0}[/tex]: is the initial position in the vertical direction =?
[tex]v_{0_{y}}[/tex]: is the initial velocity in the vertical direction =0 (the stone is thrown horizontally)
g: is the acceleration due to gravity = 9.81 m/s²
Hence, the height of the hill is:
[tex] y_{0} = \frac{1}{2}gt^{2} = \frac{1}{2}9.81 m/s^{2}*(2.67 s)^{2} = 35.0 m [/tex]
I hope it helps you!
a 60m long train moving on a straight
level track passes a pole in 5 seconds. find the
speed of the train and the time it will take to cross a
540m long bridge.
Explanation:
part 1.
s=60m
t=5s
v=s/t. =60/5 =12m/s
part 2
total s= 540+60. =600m
v=12m/s
t=s/v. =600/12 =50s
When you look at yourself in the mirror, what is the approximate angle of incidence of the light rays?
0 degrees
90 degrees
60 degrees
45 degrees
how to calculate force of gravity of an object when force of gravity of other gravity is given
Answer:
I know that F=Gm1m2/r^2 or F=GMn/r^2 and G is like the universal gravitational constant so I hope this helps
How can the power of an object required to lift a mass up a height be increased ?
A .reduce the height
B .reduce the mass
C .increase the time
D .reduce the time
what are the commons in all the dry cells ?
Answer:
A common dry-cell battery is the zinc-carbon battery, which uses a cell that is sometimes called the Leclanché cell. The cell is made up of an outer zinc container, which acts as the anode. The cathode is a central carbon rod, surrounded by a mixture of carbon and manganese(IV) dioxide (MnO2).
The break light on a car is connected to a 12V battery. If the resulting current is 0.4A what is the resistance of the brake light?
NO LINKS
Answer:
30
Explanation:
well I got it right but I'm not sure if it's the same thing
Why does the golf ball sink in
water, while the beach ball
floats?
A- The beach ball weighs less than
the golf ball
B- The golf ball has a higher density
than the beach ball
C- The beach ball has a higher
density than the golf ball
D- The golf ball has more mass than
the beach ball
Which statement describes the image?
This is an image of an elliptical galaxy.
This is an image of an irregular galaxy.
This is an image of a normal spiral galaxy.
This is an image of a barred spiral galaxy.
Answer:
Its a barred spiral galaxy
Explanation:
Answer:
It is d
Explanation:
Which of the following statements is best supported by the data in the table?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The genes for having large fruit became more common in the S. lycopersicum population over time due to selection of the large fruit trait by humans.
(Choice B)
B
During the process of tomato domestication, humans likely crossed plants with a higher-than-average number of fruits per inflorescence to create each new generation.
(Choice C)
C
Having many fruits per cluster is a disadvantageous trait for S. pimpinellifolium in the wild, likely because of the energy costs associated with fruit development.
(Choice D)
D
The genes for having large fruit became more common in the S. pimpinellifolium population over time, likely because the large fruit trait increased the probability of seed dispersal.
Answer: Choice A)
Explanation:
please help me with this
Answer:
Explanation:
Use the one-dimensional equation for displacement:
Δx = v₀t + [tex]\frac{1}{2}at^2[/tex] where Δx is the displacement, v₀ is the initial velocity (which is 0 since someone had to be holding the penny still before it was dropped), t is the time it takes to travel a certain distance (which is given as 4 seconds), and a is the acceleration due to gravity which is -9.8 m/s/s. Filling in:
Δx = [tex](0\frac{m}{s})(4s)+\frac{1}{2}(-9.8\frac{m}{s^2})(4s)^2[/tex] I'm going to expand this first so you can see how the units work out. First of all, anything times 0 is 0, so what is right in front of the plus sign goes to 0 and I'm going to leave it out. How this looks expanded without doing any of the actual math yet is:
Δx = [tex]\frac{1}{2}(-9.8\frac{m}{s^2})(4^2s^2)[/tex] which makes it apparent that the seconds-squared cancel each other out, leaving us with the meters only. NOW doing the math and rounding to 2 sigfig's even though there's only 1 in the number 4:
Δx = 78 m(the negative would only be used if the question we were answering was how far the penny had to fall, which would then use the negative sign to indicate that the penny is falling to a point that is below th point from which it was released. Since height is a distance measurement, it will never be negative. Keep in mind, asking how far the penny fell is not the same thing in physics as asking how tall the building was that the penny fell from.)
Whaf can be the most dangerous part of a hurricane?
Answer:
The inside of a hurricane
Explanation:
You will die
What did the Federal Highway Act do?
a.
It paid Henry Ford to build inexpensive cars to sell to the working-class.
b.
It allowed only wagons and stagecoaches to operate on newly constructed roads.
c.
It authorized construction of interconnected highways.
d.
It capped road construction at 36,000 miles.
Answer:
c.
Explanation:
Answer:
The Letter answer that best fits the question is C(It authorized construction of interconnected highways.)
Explanation:
I took the test
Light passes with an angle of incidence of 29.0 degrees from air (n = 1.00) into water
(n = 1.33). What is the angle of refraction?
how do i do the equation and whats the answer?
Explanation:
Light passes from air into water at an angle of incidence of 42.3∘.42.3∘. Determine the angle of refraction in the water.
please help me out i'm so depressed and such a failure
how does the brightness of the lamp (L) vary if we dispalce the cursor (C) of the rheostat
a)Towards A
b) Towards B
Answer:
I reckon towards b. Let me know if im right
The truck travels for 1.5 hours as it makes the 90 mile trip from the warehouse to the store. What was the average speed in miles per hour of the truck while driving to deliver the product to the waiting customers?
Answer: 60 mph
Explanation:
Given
Truck takes [tex]1.5\ hr[/tex] to make [tex]90\ mile[/tex] trip
The average speed is the ratio of total distance traveled to the total time taken.
[tex]v_{avg}=\dfrac{\text{Distance}}{\text{time}}\\\\v_{avg}=\dfrac{90}{1.5}\\v_{avg}=60\ mph[/tex]
15 points!! pleas help! 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?
Una masa de 4kg esta abajo la acción de una fuerza resultante de (a)4 N (b) 8N y (c) 12 N ¿Cuáles son las aceleraciones resultantes?
Explanation:
A 4kg mass is under the action of a resultant force of (a) 4 N (b) 8N and (c) 12 N What are the resulting accelerations?
Given that,
Mass, m = 4 kg
(a) Force = 4 N
We know that,
Force, F = ma
Where
a is accelertaion,
a= F/m
a = 4/4 = 1 m/s²
(b) F = 8 N
a= F/m
a = 8/4 = 2 m/s²
(c) F = 12 N
a = 12/4 = 3 m/s²
Hence, this is the required solution.
please help me out i'm so depressed and such a failure
how does the brightness of the lamp (L) vary if we dispalce the cursor (C) of the rheostat
a)Towards A
b) Towards B
Answer: a variety of ohmic valu example, VIN = VR1 + VR2.
Potentiometer Example No1
A resistor of 250 ohms is connected in series with a second resistor of 750 ohms so that the 250 ohm resistor is connected to a supply of 12 volts and the 750 ohm resistor is connected to ground (0v). Calculate the total series resistance, the current flowing through the series circuit and the voltage drop across the 750 ohm resistor.
potentiometer example one
Explanation:
uman ear has a logarithmic response and is therefore non-linear.
If we where to use a linear potentiometer to control the volume, it would give the impression to the ear that most of the volume adjustment was restricted to one end of the pots track. The logarithmic potentiometer however, gives the impression of a more even and balanced volume adjustment across the full rotation of the volume control.
So the operation of a logarithmic potentiometers when adjusted is to produce an output signal which closely matches the nonlinear sensitivity of the human ear making the volume level sound as though it is increasing linearly. However, some cheaper logarithmic potentiometers are more exponential in resistance changes rather than logarithmic but are still called logarithmic because their resistive response is linear on a log scale. As well as logarithmic potentiometers, there are also anti-logarithmic potentiometers in which their resistance quickly increases initially but then levels off.
The all potentiometers and rheostats are available in a choice of different resistive tracks or patterns, known as laws, being either linear, logarithmic, or anti-logarithmic. These terms are more commonly abbreviated to lin, log, and anti-log, respectively.
The best way to determine the type, or law of a particular potentiometer is to set the pots shaft to the center of its travel, that is about half way, and then measure the resistance across each half from wiper to end terminal. If each half has more or less equal resistance, then it’s a Linear Potentiometer. If the resistance appears to be split at about 90% one way and 10% the other then chances are it’s a Logarithmic Potentiometer.
Potentiometer Summary
In this tutorial about potentiometers, we have seen that a potentiometer or variable resistor basically consists of a resistive track with a connection at either end and a third terminal called the wiper with the position of the wiper dividing the resistive track. The position of the wiper on the track is adjusted mechanically by rotating a shaft or by using a screwdriver.
Variable resistors can be categorised into one of two operational modes – the variable voltage divider or the variable current rheostat. The potentiometer is a three terminal device used for voltage control, while the rheostat is a two terminal device used for current control.
We can summarise this in the following table:
Type Potentiometer Rheostat
Number of
Connections Three Terminals Two Terminals
Number of Turns Single and Multi-turn Single-turn Only
Connection Type Connected Parallel with a Voltage Source Connected in Series with the Load
Quantity Controlled Controls Voltage Controls Current
Type of Taper Law Linear and Logarithmic Linear Only
Then the potentiometer, trimmer and rheostat are electromechanical devices designed so that their resistance values can be easily changed. They can be designed as single-turn pots, presets, slider pots, or as multi-turn trimmers. Wirewound rheostats are mainly used to control an electrical current. Potentiometers and rheostats are also available as multi-gang devices and can be classified as having either a linear taper or a logarithmic taper.
Either way, potentiometers can provide highly precise sensing and measurement for linear or rotary movement as their output voltage is proportional to the wipers position. The advantages of potentiometers include low cost, simple operation, lots of shapes, sizes and designs and can be used in a vast array of different applications.
However as mechanical devices, their disadvantages include eventual wear-out of the sliding contact wiper and/or track, limited current handling capabilities (unlike Rheostats), electrical power restrictions and rotational angles that are limited to less than 270 degrees for single turn pots
. Nuclear fusion reaction is more reliable and sustainable source of energy than nuclear fission chain reaction. Justify this statement with plausible arguments
Answer:
please give me brainlist and follow
Explanation:
Nuclear fusion can be more reliable than nuclear fission in energy generation due to the following reasons: There are no radioactive waste products obtained as a result of nuclear fusion, unlike nuclear fission. This is because the elements involved in Nuclear fusion are relatively radioactively stable elements.
How would you expect earthworms to respond to any strong chemical odor? WILL GIVE BRAINLIEST IF RIGHT!!!
Answer:
Hypothesis #2 If an earthworm is exposed to a strong odor, then it will back away from the odor because it will think that the odor is a sign of danger. ... Second, you will test earthworms' response to dry conditions by providing both a dry surface and a moist surface for the earthworms to crawl on.
Answer:
if the earthworm smells the strong odor it will back away from it because it thinks it's a sign of danger.
A string is being driven by a motor with a frequency of 10 Hz. If the speed of the waves travelling down the string is equal to 24 m/s, what is the wavelength?
Answer:
λ = 2.4 m
Explanation:
The speed of a wave is defined as the product of the frequency and the wavelength of that wave:
[tex]v = f\lambda[/tex]
where,
v = speed of wave = 24 m/s
f = frequency of wave = 10 Hz
λ = wavelength of the wave = ?
Therefore,
[tex]24\ m/s = (10\ Hz)\lambda\\\\\lambda = \frac{24\ m/s}{10\ Hz}[/tex]
λ = 2.4 m
A pulse with a height of +0.5 meter encounters a second pulse with a height of +2.3 meters. A. The two pulses interfere: B. The resulting height of the medium when the pulses interfere will be: ____m
CAN SOMEONE IN THE COMMETS ON EDG HELP ME WITH THIS IM NOT DOING THIS 4 POINTS I ACTULLY NEED HELP AND STRUGGLING U GUYS CAN CAN PUT A 1.0 STAR I REALLY DONT CARE BUT CAN SOMEONE HELP PLZ