Consider the functions f(x) = -2(x − 3)2 + 2 and g(x), which is represented by the graph.Drag each interval to the correct location in the table to describe key features of f(x) and g(x).(-2, ∞)(2, 4)(-∞, -6) and (2, ∞)(3, ∞)(-∞, 2) and (4, ∞)(-6, 2)(-∞, -2)(-∞, 3)

Answer:

The acceleration of the train must be - 0.133 m/s²

Explanation:

A train in order for it to stop 12 m/s in a distance if 541 m

That means the initial velocity of the train is 12 m/s

Its final velocity is zero (stop)

The distance it covers is 541 m

P.S. This is part of the answer of another brainly user this is not my knowledge.

But Hope I helped you

Answer:

-0.133 m/s²

Explanation:

Given:

Δx = 541 m

v₀ = 12 m/s

v = 0 m/s

Find: a

v² = v₀² + 2aΔx

(0 m/s)² = (12 m/s)² + 2a (541 m)

a = -0.133 m/s²

Answer:

Eclipses of the Sun and Moon are best explained by the revolution of Earth and the Moon around the Sun.

Explanation:

An eclipse is the covering of a star by another celestial body.  In everyday language, an eclipse usually means a solar or lunar eclipse.

When the sun, moon and earth are aligned (in this order), the sun is covered by the moon when viewed from a place on earth. The sunlight will then no longer reach the earth. In other words, part of the earth has been eclipsed by the moon. This is referred to as a solar eclipse.

If the earth is between the sun and the moon, and thereby prevents sunlight from reaching the moon, then there is a lunar eclipse. After all, seen from the moon, the earth covers the sun. The moon is then eclipsed by the earth.

if you pump air into a 100ml balloon, the distance is that the Gases will be ale to spread out very quickly to fill all the space that has been available to them in the balloon.

The capacity of a container increases as the gas content rises. A container's capacity reduces as the gas content is reduced. Of course, this assumes that the container's walls are expandable.

Therefore, Gases swiftly disperse to occupy all available area. Imagine blowing up a balloon. When you blow air into a balloon, the entire balloon is filled. A gas will take up all of the available space. This is due to the fact that a gas's particle structure is random.

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Answer:

The second bulb will have thicker filament

Explanation:

Given;

First electric bulb: Power, P₁ = 100 W and Voltage, V₁ = 220 V

Second electric bulb: Power, P₂ = 200 W and Voltage, V₂ = 200 V

Resistivity of tungsten, ρ = 4.9 x 10⁻⁸ ohm. m

Resistance of the first bulb:

\(P = IV = \frac{V}{R} .V = \frac{V^2}{R} \\\\R = \frac{V^2}{P} \\\\R_1 = \frac{V_1^2}{P_1} = \frac{(220)^2}{100} = 484 \ ohms\)

Resistance of the second bulb:

\(R_2 = \frac{V_2^2}{P_2} = \frac{(200)^2}{200} = 200 \ ohms\)

Resistivity of the tungsten filament is given by the following equation;

\(\rho = \frac{RA}{L}\)

where;

L is the length of the filament

R is resistance of each filament

A is area of each filament

\(A = \pi r^2\)

where;

r is the thickness of each filament

\(\rho = \frac{R (\pi r^2)}{L} \\\\\frac{\rho L}{\pi} = Rr^2 \\\\Recall ,\ \frac{\rho L}{\pi} \ is \ constant \ for \ both \ filaments\\\\R_1r_1^2 = R_2r_2^2\\\\(\frac{r_1}{r_2} )^2 = \frac{R_2}{R_1} \\\\\frac{r_1}{r_2} = \sqrt{\frac{R_2}{R_1} } \\\\\frac{r_1}{r_2} = \sqrt{\frac{200}{484} } \\\\\frac{r_1}{r_2} = 0.64\\\\r_1 = 0.64 \ r_2\\\\r_2 = 1.56 \ r_1\)

Therefore, the second bulb will have thicker filament

The mass of the planet is  5.98 × 10^24 kg.

To calculate the mass of the planet, we can use Kepler's Third Law of Planetary Motion. This law states that the square of the period of revolution of a planet around the sun is directly proportional to the cube of the semi-major axis of its orbit.

First, we need to convert the period of the satellite's orbit to seconds. We know that there are 60 minutes in an hour, so the period can be expressed as (6 × 60 + 12) minutes, which equals 372 minutes. Multiplying this by 60 seconds, we get a period of 22,320 seconds.

Next, we need to find the semi-major axis of the orbit. In a circular orbit, the semi-major axis is equal to the radius of the orbit. Therefore, the semi-major axis is 8.8 × 10^6 m.

Now, we can apply Kepler's Third Law to calculate the mass of the planet. The formula is T^2 = (4π^2/GM) × a^3, where T is the period of revolution, G is the gravitational constant, M is the mass of the planet, and a is the semi-major axis of the orbit.

Rearranging the formula, we can solve for the mass of the planet:
M = (4π^2/G) × a^3 / T^2

Plugging in the values, we get:
M = (4 × π^2 / 6.67430 × 10^-11) × (8.8 × 10^6)^3 / (22,320)^2

Evaluating this expression, we find that the mass of the planet is approximately 5.98 × 10^24 kg.

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Answer:

The three major categories of energy for electricity generation are fossil fuels (coal, natural gas, and petroleum), nuclear energy, and renewable energy sources. Most electricity is generated with steam turbines using fossil fuels, nuclear, biomass, geothermal, and solar thermal energy.

Explanation:

Solar

Wind

Geothermal

Hydrogen

TidaWave

Hydroelectric

Biomass

The answer is D.

...................................

Answer:

d lol why did he put ................. like what did he get from that D)

amount of fertilizer

Answer:

Albert Einstein

Explanation:

He first predicted the existence of black holes in 1916

The distance traveled by the sprinter during the first 6 seconds when it accelerate from rest and moving with a velocity of 12 m/s is 36 m.

This is the total length between two points

To calculate the distance traveled by the sprinter during the first 6 seconds, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the distance traveled by sprinter during the first 6 seconds is 36 m.

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The lab experiment found that light travels faster in Mystery A compared to Mystery B, with average speeds of 3.0 and 2.8, respectively. The increase in the index of refraction for the second medium led to a higher angle of refraction, resulting in light bending more. These findings have practical implications for optics and communications.

1. Light would travel faster in Mystery A since the average speed of light in Mystery A (3.0) is higher than Mystery B (2.8).

2. Increasing the index of refraction for the second medium leads to an increase in the angle of refraction. When light comes in at a lower angle, it bends more.

3. In conclusion, this lab experiment showed that the speed of light in a material is influenced by the material's index of refraction. Mystery A had a higher average speed of light compared to Mystery B, indicating that light travels faster in Mystery A. Additionally, the angle of refraction increased as the index of refraction for the second medium was increased. These findings have practical applications in the field of optics and communications.

Hence,The laboratory experiment discovered that, with average speeds of 3.0 and 2.8, respectively, light moves more quickly in Mystery A than Mystery B. Light bent more as a result of the second medium's increased index of refraction due to a higher angle of refraction. For optics and communications, these findings have real-world applications.

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The answer is 6×10⁴ N/C. In the absence of matter, the energy density in a magnetic field is given by 1/2B2/0; it is expressed in joules per cubic meter.

By integrating the energy density across all of space, one may determine the entire amount of magnetic energy. We interpret uB = B2/(20) as the energy density of the magnetic field, or the amount of energy per unit volume. The amount of energy held in the coil's volume is equal to the amount of energy per unit volume held in the magnetic field multiplied by the coil's volume.

Given: B=(200T) sin [(4.010 1] gives the magnetic field in a plane electromagnetic wave.

5s (t−x/c)].

to determine the largest electric field possible and the average energy density that corresponds to the electric field.

Maximum magnetic field value: B 0 = 200 T 200* 10⁶

An electromagnetic wave travels at c speed.

Therefore, the electric field's greatest value is E 0 = cB 0.

​⟹E \s0 \s​ \s

=200×10⁻⁶ \s ×3×10⁸

⟹E \s0 \s​ \s

=6×10⁴ N/C

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Hi there!

We can begin by deriving the magnetic field strength for a circular loop at its center.

Using Biot-Savart's Law:
\(dB = \frac{\mu_0}{4\pi }\frac{idl \times \^r}{r^2}\)

μ₀ = Permeability of free space (Tm/A)

dl = Differential length element

r = radius (m)

We can rather use 'ds' to represent a differential arc length since we are finding the magnetic field for a circular loop.

We must begin by dealing with the cross-product. Luckily, this derivation is simple since the radius vector is ALWAYS perpendicular to the path of integration along the loop's circumference. (ONLY if we are finding the field for the direct center.) Thus, since sin(90) = 1, we can get rid of the cross-product.

Therefore:

\(dB = \frac{\mu_0}{4\pi }\frac{ids}{r^2}\)

Now, we can integrate with respect to ds.

\(= \frac{\mu_0}{4\pi }\int\limits^{2\pi r}_0 {\frac{i}{r^2}} \, ds\\\\ = \frac{\mu_0}{4\pi }{\frac{i * 2\pi r}{r^2}} \, ds\)

Simplify:

\(B = \frac{\mu_0 i_{circle}}{2r}\\\)

Now, for a straight conductor (assuming of infinite length), we know the magnetic field strength equation to be:

\(B = \frac{\mu_0 i_{rod}}{2\pi r}\)

Set the two equal.

\(\frac{\mu_0 i_{circle}}{2r}= \frac{\mu_0 i_{rod}}{2\pi r}\)

Cancel out '2', μ₀, and 'r':
\(i_{circle}}= \frac{ i_{rod}}{\pi }\)

Plug in the given values and solve.

\(40\pi = i_{rod}\\\\i_{rod} = \boxed{125.663 A}\)

The time for which the football will stay in the air is equal to 2.75 s.

The projectile travels a parabolic path due to the effect of gravity. No horizontal forces act on it so there is no horizontal acceleration.

The velocity of a projectile has a horizontal component and a vertical component.

The vertical component of the velocity is, \(\displaystyle V_y = Vsin\theta\)

The horizontal component of the velocity is, \(\displaystyle V_x = Vcos\theta\)

Given the angle θ of the football with the X- axis = 30°

The velocity of the football V = 27 m/s

The Y component of the velocity, Vy = 27× sin30°

Vy = 13.5 m/s

The time for which football is in the air,

T = 2Vy/g = 2×13.5/9.8 = 2.75 s

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The equivalent resistance of the circuit shown  is 23 ohms.

Option A is correct.

Resistance is  described as the opposition that a substance offers to the flow of electric current.

In a series circuit, all components are connected end-to-end to form a single path for current flow.

In a parallel circuit, all components are connected across each other with exactly two electrically common nodes with the same volt.

We then 1/R = 1/100 + 1/100 + 1 /(50+ 50) +  1 /(50+ 50)

I/R = 0.04

R = 25 ohms.

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Answer:

D

Explanation:

Took Test

This research survey is an example of a flawed or invalid measure of intelligence.

The research survey that is shown in this question can be defined as a poor measurement tool for assessing intelligence. One can easily identify that the researchers are measuring intelligence by asking about the favorite color of the personnel, which has nothing to do with the intelligence of the person. This survey lack validity which is essential to measure the intelligence of any personnel through a survey.

The survey also lacks reliability as it can't provide consistent results. If the intelligence of any personnel is somehow related to the intelligence of the person, answering the survey multiple times must give the same answer. This doesn't provide consistent result and lack reliability and realism.

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The diameter of the smaller end of the pipe is approximately 0.78 meters.

To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.

The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity

Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2

Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2

Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30

Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30

0.36 * 13 = (diameter2/2)^2 * 30

4.68 = (diameter2/2)^2 * 30

Dividing both sides by 30:
0.156 = (diameter2/2)^2

Taking the square root of both sides:
0.39 = diameter2/2

Multiplying both sides by 2:
0.78 = diameter2

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Answer:0.65606 -> 0.66

Explanation:

Press 2nd on your calculator then hit sin, this will give you the inverse of sin. enter 0.61 in the ( ) and then enter.

Answer:

C )A hockey puck slides easily across the ice.

Answer:

9.49 s

Explanation:

Applying,

s = ut+gt²/2................ Equation 1

Where s = heigth of the deck, u = initial velocity, t = time, g = acceleration due to gravity.

From the question,

Given: s = 450 m, u = 0 m/s( dropped from height)

Constant: g = 10 m/s²

Substitute these values into equation 1

450 = (0×t)+10t²/2

450 = t²

5t² = 450

t² = 90

t = √90

t = 9.49 s

Answer:

Explanation:

1. First draw a free body diagram of the scenerio (a block sliding down a a slant surface).
2. Then we analyze the forces and write equations that satisfy Fnet = ma. This will give us the acceleration as the block slides down the surface.

3. Last, we can use the kinematic equation (vf^2 = vi^2 + 2as) and to solve the final speed of the block.

Answer:

3h/4

Explanation:

At speed v/2 height will be 3/4 h

Equation that describes the motion of point , bodies , and system of bodies without considering the force that cause them to move is called equation of motion in kinematics

When block is at top of first ramp

u=0 ( block was at rest )

a = g ( acceleration due to gravity

using equation of motion                                                                                                                                                                                                                                                                    

2as = v^2 - u^2

2gh = v^2

Then the block continued and reached a speed of v1 = v/2 on second ramp

now , final velocity = v= v1 =\(\sqrt{2gh}\) / 2

u= \(\sqrt{2gh\\}\)

s= h1

using equation of motion , we get

2as = v^2 - u^2

2(-g)h1 =( \(\sqrt{2gh}\)/2)^2 - \(\sqrt{2gh}\)

2(-g)h1 = (g h - 4 g h) / 2

h1 = 3/4 h

At speed v/2 height will be 3/4 h

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Scientists utilize empirical methods to examine the natural world, which means that they are founded on observations and experimentation rather than on personal beliefs or emotions.

Activities and procedures involving scientists' quest of knowledge are referred to as scientific inquiry.

Physical science studies the inorganic cosmos. To put it another way, it doesn't study living things. Science that investigates life, or biology, studies those.

The four main subfields of physical science are astronomy, physics, chemistry, and the Earth sciences, which include meteorology and geology.

The systematic study of the physical universe is known as science. The foundation of science is the observation of that reality. Science is both empirical and developing.

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Answer:

F = 1.6 N

Explanation:

Newton's Second Law of Motion states that whenever an unbalanced force is applied on a body. It produces an acceleration in the body, in its own direction. The magnitude of the force is given by the following formula:

F = ma

where,

F = Force Required to Move the Object Upward = ?

m = mass of object

a = upward acceleration = 2 m/s²

but, we know that weight of object is given as:

Weight = mg

8 N = m(9.8 m/s²)

m = 0.8 kg

using values in the equation:

F = (0.8 kg)(2 m/s²)

F = 1.6 N

Answer:

Brakes unevenly adjusted: Brakes pulling in one direction or the other can lead to a skid. Tires with worn tread: Tread is necessary for traction in wet weather

Explanation:

Answer: exhaust pipe

Explanation: It doesn't really control anything so I'm assuming this is the answer

Workdone:-

\(\\ \tt\longrightarrow Force\times Displacement \)

\(\\ \tt\longrightarrow 500(100)\)

\(\\ \tt\longrightarrow 50000J\)

A photon is a tiny energy packet of electromagnetic radiation, also referred to as a light quantum.

1) Ultraviolet radiation is commonly used in sanitizing hospitals because, viruses, methicillin-resistant Staphylococcus aureus, and vancomycin-resistant enterococci are all susceptible to the germicidal effects of UV-C.

2) According to the photon theory, electrons that have been stimulated return to the ground state to create atomic emission spectra. Light or the photon is the energy that is released when electrons drop to a lower energy level.

3) To characterise the atomic characteristics of light, Albert Einstein used Planck's quantum theory.

Planck's hypothesis is supported by Einstein's demonstration that electromagnetic radiation, such as light, has both wave-like and particle-like properties.

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Answer:

the scientific study of natural forces such as light, sound, heat, electricity, pressure, etc.

Explanation:

mark as brainliest