You can use a system of equations to graph and solve the polynomial equation 3 x cubed + x = 2 x squared + 1. Which statement is true? The system has one solution, and the equation has three zeroes. The y-coordinates of the solutions to the system and the zeroes of the equation are not equal. The x-coordinates of the solutions to the system and the zeroes of the equation are not equal. The equation has one zero, and the system has three solutions.
The equation has one zero, and the system has three solutions ( 1 real and 2 complex solutions).
Solution of the polynomial equationThe solution of the polynomial equation is determined as follows;
3x³ + x = 2x² + 1
3x³ - 2x² + x - 1 = 0
[tex]3(x - \frac{2}{9} )^3+ \frac{5}{9} (x - \frac{2}{9} )- \frac{205}{243} = 0\\\\x = 0.78 \ (one \ real \ solution)\\\\x = -0.058-0.65i\\\\x = -0.058+0.65i \ \ (2 \ complex \ solutions)[/tex]
Thus, we can conclude that the equation has one zero (real solution), and the system has three solutions ( 1 real and 2 complex solutions).
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Answer:
B
Explanation:
Answer from unit test review edge 2022
25. IF THE ROADWAY IS WET AND THE CAR STARTS TO SKID, YOU SHOULD: A. Slow down by pumping the brakes quickly and firmly B. Slow down by shifting to a lower gear C. Slowly ease your foot off the gas pedal
If the roadway is wet and the cars starts to skid, one should slow down by shifting to lower gear. The correct option is B.
What are gears?A gear is component used to transmit motion. They are used in cars, trucks, machines, bicycles, etc.
For a car to avoid skidding on the wet roads, one must drive the car slowly. This can be done by shifting the gear to the lower one. This will help car to keep balance when brakes are applied on wet roads.
Thus, the correct option is B.
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What is the potential energy of a 25 kg bicycle resting at the top of a hill 3 m high (formula:pe=mgh)
The potential energy of a 25 kg bicycle resting at the top of a hill 3 m high will be 735.75 J.
What is potential energy?
The potential energy is due to the virtue of the position and the height. The unit for the potential energy is the joule.
The potential energy is mainly depending upon the height of the object. when the cyclist is at the highest position, the height is maximum. Therefore, the potential energy is also maximum.
The potential energy is found as;
PE=mgh
PE=25 kg× 9.81 m/s² ×3 m
PE= 735.75 J.
Hence, the potential energy of a 25 kg bicycle resting at the top of a hill 3 m high will be 735.75 J.
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What is the period of a wave that has a frequency of 300 hz?
Answer:
T = 0.003 s
(Period is written as T)
Explanation:
Period = time it takes for one wave to pass (measured in seconds)
frequency = number of cycles that occur in 1 second
(measured in Hz / hertz / 1 second)
Period : T
frequency : f
So, if we know that the frequency of a wave is 300 Hz, we can find the period of the wave from the relation between frequency and period
T = [tex]\frac{1}{f}[/tex] f = [tex]\frac{1}{T}[/tex]
to find the period (T) of this wave, we need to plug in the frequency (f) of 300
T = [tex]\frac{1}{300}[/tex]
T = 0.00333333333
So, the period of a wave that has a frequency of 300 Hz is 0.003 s
[the period/T of this wave is 0.003 s]
Suppose you are sitting in the passenger seat of a parked car. You hear sounds coming from the stereo of another car parked on the opposite side of the street. You can easily hear the low-pitched bass sounds but cannot hear the any high-pitched sounds coming from the parked car. Explain why you think this happens.
This happen because of what is called Doppler effect and it occur you who is the receiver of the sound waves is in motion and the source of the wave is stagnant.
What is sound waves?Sound waves is a form of transverse waves in which there is vibrations and compression of particles traveling through a medium thereby transferring energy from one medium to another.
Therefore, This happen because of what is called Doppler effect and it occur you who is the receiver of the sound waves is in motion and the source of the wave is stagnant.
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Three resistors are connected in parallel. If placed in a circuit with a 12-volt power supply. Determine the equivalent resistance (rounded to the nearest hundredth), the total circuit current (rounded to the nearest hundredth), and the voltage drop across and current in each resistor (round to the nearest hundredth).
(a) The equivalent resistance of three parallel resistors is (R₁R₂R₃)/(R₁R₂ + R₁R₃ + R₂R₃).
(b) The total circuit current is 12/R.eq.
(c) The voltage drop across and current in each resistor is IR₁, IR₂ and IR₃.
Equivalent resistance of three parallel resistors
The equivalent resistance of three parallel resistors is calculated as follows;
Let the first resistor = R₁Let the second resistor = R₂Let the third resistor = R₃[tex]\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_2}\\\\R_{eq} = \frac{R_1R_2R_3}{R_1R_2 + R_2R_3 + R_1R_3}[/tex]
Total Circuit CurrentThe total circuit current is calculated as follows;
V = IR
[tex]I= \frac{V}{R_{eq}} = \frac{12 \ V}{R_{eq}}[/tex]
Voltage drop in each resistorVoltage drop in resistor 1 = IR₁
Voltage drop in resistor 2 = IR₂
Voltage drop in resistor 3 = IR₃
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Why does a balloon shrink in cold water?
Answer:
The balloon shrank because the average kinetic energy of the gas molecules in a balloon decreases when the temperature decreases. This makes the molecules move more slowly and have less frequent and weaker collisions with the inside wall of the balloon, which causes the balloon to shrink a little.
Explanation:
Not only does it shrink in cold water but it shrinks in the cold itself.
Hope this helps!!
the pieces of ice float on water why
they float on water because the ice has the same mass of water and is density is lighter
-1 A 4m long wire of cross-sectional area 2.5 X 10 m² has a resistance of 5. The conductivity of the wire is (a) 2.5 X 10' m (b) 4.0 X 10' m (c) 2.5 X 10'' m¹ -1 -1 (d) 4.0 X 10''m'
Answer:
3.2 [tex]10^{-2} ohm^{-1} m^{-1}[/tex]
Explanation:
Resistance=5 ohm
Length=4m
Cross sectional area=2.5 x 10
Conductivity = 1/ resistivity
=[tex]\frac{length}{resistance x cross sectional area}[/tex]
Conductivity=4 /5 x 2.5 x 10
Conductivity=4/125
Conductivity=3.2x[tex]10^{-2}[/tex][tex]ohm^{-1} m^{-1}[/tex]
Individuals should participate in activities __________ to improve cardiovascular fitness.
A.
twice a day
B.
three to five days a week
C.
two to three days a week
D.
seven days a week
HURRY!!
Individuals should participate in activities three to five days a week to improve cardiovascular fitness.
What is cardiovascular fitness?Cardiovascular fitness is a measure of how well ones body can take in oxygen and deliver it to muscles and organs during prolonged periods of exercise.
A person is considered cardiovascular fit if they can exercise for a long period of time without getting unduly tired.
Examples of cardiovascular exercises are;
swimmingcyclinghikingHowever, individuals should participate in activities three to five days a week to improve cardiovascular fitness.
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What are the advantages of using digital signals over analog signals?
Digital signals are advantageous over analog signals because they are easily reproducible and convey information with little interference.
What are analog and digital signal?
Analogs signals are signal which are continuous whereas digital signals are signal which are not continuous but are separated by time.
Use of digital signals are most common because they have certain advantages over analog signals.
Some advantages of digital signals over analog signals include:
Digital signals can convey information with less noise and interference.Digital circuits can be easily reproducedTherefore, Digital signals are advantageous over analog signals because they are easily reproducible and convey information with little interference.
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a 4kg box is resting on top of a shelf that is 2m high, what is the boxs gravitational potential relative to the floor
Answer:
80 J
Explanation:
PE = mgh
PE = (4 kg)(9.8 m/s^2)(2 m)
PE = 78.4 J and with sig figs, it would be 80 J
the angle between the incident ray and the reflected ray is 800. what is the angle of incidence
Answer:
50 degrees
Explanation:
the angle between the incident ray and the reflected ray is 80 degrees
80 degrees + inc + refl = 180
inc = refl = 50 degrees
Calculate the kinetic energy of a tennis ball that has a mass of .056 kg and is moving at a speed of 44 m/s
[tex]\text{Kinetic energy,}\\\\E_k = \dfrac 12 mv^2\\\\~~~~~=\dfrac 12 \times 0.056 \times 44^2\\\\~~~~~=54.208~J[/tex]
A cue ball of inertia m is given a speed v before it collides elastically with a full rack of 15 stationary balls in a game of pool. Each of the 16 balls has an inertia m.
The final speed of the 15 stationary balls in a game of pool is determined as the ratio of inertia of the cue ball to total mass of the 15 balls.
Final speed of the 15 balls
The final speed of the 15 balls can be determined by applying the principle of conservation of linear momentum as shown below;
J = ΔP
where;
J is inertia ΔP is change in momentumm1u1 + m0u0 = m1v1 + m0v0
where;
m1 is mass of the cue ballm0 is mass of the 15 ballsu is initial velocityv is final velocitym1u1 - 0 = m1v1 + 15mv0
m1u1 - m1v1 = 15mv0 - 0
recall, m1u1 - m1v1 = ΔP = J
-m = 15m0v0
v0 = -m/15m0
where;
v0 is the final speed of the 15 balls15m0 is the total mass of the 15 ballsm is the inertia of the cue ballThus, the final speed of the 15 stationary balls in a game of pool is determined as the ratio of inertia of the cue ball to total mass of the 15 balls.
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When discussing Newton’s laws of motion, which terms do people most likely use when talking about Newton’s third law of motion?
“force” and “acceleration”
“inertia” and “force”
“action” and “reaction”
“mass” and “inertia”
Answer:
action and reaction
Explanation:
becase it state that"to every action there is always an equal and opposite reaction"
. The nucleus contains protons and neutrons and the outer part of the atom contains
Answer:
Electrons
What are electrons?An elementary particle that is a fundamental constituent of matter, having a negative charge of 1.602 × 10- 19 coulombs, a mass of 9.108 × 10 - 31 kilograms, and spin of 1/2, and existing independently or as the component outside the nucleus of an atom. It can also be defined as a unit of charge equal to the charge of one electron.
The box (mass = 4 kg) is being pulled at a constant velocity. the box is pulled with a force of
50 n at an angle of 30 degrees.
calculate the frictional force.
Answer:
I really don't know what to say or do anything for you and your homework
How do stairs reduce the
amount of effort needed to
get work done?
A. They require a large force over a long
distance.
B. They require a small force over a long
distance.
C. They require a large force over a short
time.
Why is work measured in
Newton-Meters (NM)?
A. Newton invented work.
B. The equation for work consists of one factor.
C. The equation for work consists of two factors.
D. Newton discovered work.
Answer:
C) the equation consists of two factors:
work = force * distance
W = F · S
Two astronauts are taking a spacewalk outside the International Space Station. The first astronaut has a mass of 85.2 kg. The second has a mass of 65.4 kg. Initially, both astronauts have zero velocity relative to each other. Then, the astronauts push against each other, giving the first astronaut a final velocity of 1.2 m/s to the left. If the momentum of the system is conserved, what is the final velocity of the second person?
A. 1.3 m/s to the left
B. 1.6 m/s to the right
C. 1.6 m/s to the left
D. 1.3 m/s to the right
The final velocity of the second person after the collision is determined as 1.6 m/s to the right.
Final velocity of the second person
The final velocity of the second person is determined by applying the principle of conservation of linear momentum.
m1u1 + m2u2 = m1v1 + m2v2
85.2(0) + 65.4(0) = 85.2(-1.2) + 65.4(v2)
0 = -102.24 + 65.4v2
65.4v2 = 102.24
v2 = 1.56 m/s to the right
Thus, the final velocity of the second person after the collision is determined as 1.6 m/s to the right.
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Electricity and Magnetism: Tutorial
Drag each balloon to the correct location on the chart.
Sort the balloons based on the kinds of charges they carry.
Not Charged
Positively Charged
Negatively Charged
Not charged - balloon A
Positively charged - balloon C
Negatively charged - balloon B and D.
What is charge?Charge is the property of an object which attracts or repels unlike and like charges respectively.
For balloon A, positive charges are equal to the negative charges. So, it is neutral or having no charge.
For balloon B and D, negative charges are greater than the positive charges. So, balloons are negatively charged.
For balloon C, positive charges are greater than the negative charges. So, balloons are positively charged.
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Which statement about Earth’s core helps explain Earth’s magnetic field?
Earth's core is composed of iron and nickel is the correct statement about earth's core.
How earth's magnetic field is generated?Earth's magnetic field is generated by the solidification of the planet's liquid iron core. The cooling and crystallization of the core moves the surrounding liquid iron that creates powerful electric currents that generate a magnetic field.
So we can conclude that Earth's core is composed of iron and nickel.
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Which optical device can focus light to a point through reflection?
Answer:
A
Explanation:
did the quiz
Answer:
A
Explanation:
Three things you learned about waves. Three things you learned about sound. Three things you learned about light.
Answer:
stuff
Explanation:
1. Waves have different wavelengths
2. Waves are in the ocean
3. Waves can make radio
Sound
1. Sound makes you hear
2. Sound is slower than light
3. There is No sound in space
Light
1. There are many types of light
2. Such as infrared, UV, Microwave
3. Light is the fastest thing in the universe
4. Light cannot escape a black hole
Which labels belong in the regions marked X and Y?
OX: Uses turbines to turn generators
Y: Boils water to form steam
OX: Boils water to form steam
Y: Uses turbines to turn generators
OX: Uses uranium
Y: Uses falling water to turn turbines
OX: Uses generators to produce electrical energy
Y: Burns fuel to form steam
Answer:
X: Maintains magnetic properties in the presence of another magnet
Y: Is made from magnetically hard ferromagnetic materia
Explanation:
A, egde 2022
Parallel light rays are refracted _______and_____ to a point called as focal point after passing through convex lens.
A spinning satellite begins to unfold two solar panels as shown. How does a satellites ANGULAR MOMENTUM change as its panels extend?
A. It drops to zero.
B. It decreases.
C. It remains constant.
D. It increases.
As the satellite panels extend, the angular velocity decreases due to drag force, and hence it will cause a decrease in the angular momentum of the satellite.
What is angular momentum?
Angular momentum is defined as the quantity of rotation of a body, which is the product of mass, velocity and radius.
L = mvr
L = mωr²
where;
m is mass of the objectv is velocityr is radius ω is angular velocityAs the satellite panels extend, the angular velocity decreases due to drag force, and hence it will cause a decrease in the angular momentum of the satellite.
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As a person moves down a zip wire her increase in kinetic energy is less than her decrease in gravitational potential energy explain why?
Air resistance causing thermal energy to be transferred to surroundings is why her increase in kinetic energy is less than her decrease in gravitational potential energy.
What is Thermal energy?This is also known as heat energy and is measured to ascertain the temperature of a substance.
Air resistance brings about loss of heat to the environment and the increase in kinetic energy being less.
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The ball and the shoulder area ABOVE the armpit of an attacker make contact and the ball goes into goal. What is the decision by the referee?
The referee should award a goal to the attacker since the part of the body in contact with the ball is not hand and it cannot be considered as handball.
Goal rules for soccerThere are several rules considered during a game of soccer before the referee will award goal.
Some of the rules include;The ball must cross the goal lineThe attacker must be on sideThe attacker must play the ball with any part of the body EXCEPT the hand.The shoulder area ABOVE the armpit is not part of the hand, thus the referee should award a goal to the attacker since the part of the body in contact with the ball is not hand and it cannot be considered as handball.
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