A car travels straight down a highway with cruise control set to 100 km/h. how far does it travel during 14.2 minutes?

The final solution sales will always be fractions. The final solution deals do not need to be integers.

Linear programming (LP) or Natural Optimization is the issue of maximizing or underestimating a straightforward work subject to linear restrictions.

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The vertical distance of the object from where it was launched to where it lands is 30.9 meters.

A Projectile is an object that is propelled by the application of an external force and then moves freely under the influence of gravity and air resistance.

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The distance covered by the ladybug from the moment she begins to de-accelerate until the moment she comes to rest is 2 cm.

The three equations of motion are -

v = u + at

S = ut + 1/2 at²

v² - u² = 2aS

Given is a ladybug which is moving at a speed of 1 cm/s. She begins to decelerate at a rate of -0.25 cm/s² until she comes to rest. From this we can write -

initial velocity [u] = 1 cm/s

final velocity [v] = 0 m/s

acceleration [a] = -0.25 cm/s² = 1/4 cm/s²

Using the first equation of motion -

v = u + at

0 = 1 - t/4

t/4 = 1

t = 4 sec

Using second equation of motion -

S = ut + 1/2 at²

S = 1 x 4 - 0.5 x 0.25 x 4 x 4

S = 4 - 2

S = 2 cm

Using third equation of motion, we can directly find out the distance covered -

v² - u² = 2aS

- 1 = - 2 x 1/4 x S

S/2 = 1

S = 2 cm

Therefore, the distance covered by the ladybug from the moment she begins to de-accelerate until the moment she comes to rest is 2 cm.

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The Speed of the athlete is 5.59 m/s

Speed is defined as the ratio of the distance covered and the time taken

The units of speed can either be m/s, km/hr, mil/hr, etc.

The distance covered by the athlete = 42.195 km

Distance in meter = 42195 * 1000 = 42195 m

Time taken = 2 * 3600 s + 5 * 60 s + 42 s

Time taken = 7542 s

Speed = 42195 m/7542 s

Speed = 5.59 m/s

In conclusion speed is ratio of distance and time taken.

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If the earth were twice as far as it actually is from the sun, the force of gravity attracting the earth to the sun would be one-quarter as strong as it once was.

Any two objects with mass are constantly attracted to each other by a force. This force is called gravity. According to Sir Isaac Newton, the force of gravity between two objects depends on the mass of the objects and the distance between them.

Newton's law of universal gravitation states that "the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of their distance apart". Taking only the distance apart into consideration, the force of gravity decreases exponentially as distance increases.

This shows that the more the earth moves away from the sun, the more the force of gravity between the earth and the sun decreases. For example, let's take the current distance between the earth and the sun as 1 unit and the force of gravity as 1 unit also. If we were to double the distance between the earth and the sun, it will mathematically be written as:

    Force of gravity, F = 1/d^2

    where d = distance between the earth and the sun.

    Hence, F = 1/2^2

                 F = 1/4

Therefore, when the distance is doubled, force of gravity decreases by a factor of 1/4.

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By using uniform motion, the displacement of a fallen crate after 2.9 seconds is  41.209 meters.

We need to know about uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

t = 2.90 s

vo = 0 m/s

a = g = 9.8 m/s²

By substituting the given parameters, we can calculate the displacement with the third equation

s = vo . t + 1/2 . a . t²

s = 0 . 2.9 + 1/2 . 9.8 . 2.9²

s = 0 + 41.209

s = 41.209 m

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The time taken by second ball to land on the floor is 0.30 seconds.

What is the relation between speed, time and distance?

Speed is determined by dividing the distance covered by the time taken. Calculating the units for speed requires knowledge of the units for both time and distance. Since the distance is measured in metres (m) and the time is measured in seconds (s), the units in this example will be metres per second (m/s).

The answer can be calculated by the equation:

[tex]D = V \times T[/tex]

Where, V = speed, T = time, D = distance

So, for first ball the time is given to be 0.60 s and speed is given to be v.

We get equation,

[tex]D = 0.60v[/tex]

For second ball speed is given to 2v and the distance is same as first ball

We get equation,

[tex]D = T_2 2v[/tex]

Where, T₂ = Time taken by second ball

By both the equations of first and second ball. we get,

[tex]0.60v = T_2 2v[/tex]

[tex]T_2 = \frac{0.60}{2}[/tex]

[tex]T_2 = 0.30 s[/tex]

Therefore, the second ball will take 0.30 seconds to land on the floor.

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Answer: Ok, ok, I have the same questions and I got them right, here is your answer...

1) Which block has the greatest density?

Answer: Block A

2) Which block has the lowest density?

Answer: Block B

Explanation: For the first question, Block A has the largest whole number, making it have the greatest density.

For the second question, Block B 0.64 has the lowest number behind the decimal in the tenths place is the smallest, making it have the lowest density.

Hope this helps :3

1)We need to identify the block that has the highest mass per unit volume. In this case, it is Block A, which has a density of 19.3 Kg/L. So Block A has greater density. Correct Option is 1.

2) Block B: 0.64 Kg/L block has the lowest density. So Correct Option is 2.

1)  Block A with a density of 19.3 Kg/L, it means that for every liter of volume occupied by the block, there is 19.3 kilograms of mass. This indicates that the material in Block A is more dense or more tightly packed compared to the other blocks with lower densities.

2) Block B has the lowest density among the given blocks because it has the smallest value of 0.64 Kg/L. Density is a measure of how much mass is contained within a given volume. A lower density means that there is less mass packed into a given volume, indicating that the material is less dense or less compact

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Answer:increases levels of hormones in the brain

Explanation: because when you go through puberty you start to get more hormones

Answer: Navigating by air and by boat is generally done using vectors. Planes are given a vector to travel, and they use their speed to determine how far they need to go before turning or landing.

The empirical formula of the product gexcly is Ge4Cl.

a.) In empirical formula problem one must first find the mass % of the elements in the compound. Since the total mass of the final product was 3.69g we find that:

3.69g total-1.25g germanium = 2.44g chlorine

1.25g germanium/3.69 g total (100) = 33.88%

44g chlorine/3.69 g total (100) = 66.12%

b.) Then change the % to grams

33.88%→3.38g of Ge

72.23%→6.61g of Cl

c.) Next, divide all the masses by their respective molar masses.

3.38g /72.64gm-1 = 0.0465 moles Ge

6.61g/35.45gm-1 = 0.1864 moles Cl

d.) Pick the smallest answer of moles and divide all figures by that.

0.04 moles Ge / 0.0465 = 1

0.1864 moles Cl / 0.0465 = 4.00

Since our answer for chlorine is a whole number, we use them as coefficients for the product

e.) Lastly, the coefficients calculated in the previous step will become the subscripts in the chemical formula.

Ge = 4

Cl = 1

Ge4Cl

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Answer: The final velocity will be 30 m/s

Explanation:

[tex]v_{i} = 10 m/s\\a = 2.0m/s^{2} \\t = 10s\\v_{f} = ?\\\\a = \frac{v_{f} - v_{i}}{t} \\2.0 = \frac{v_{f} - 10}{10} \\20 = v_{f} - 10\\v_{f} = 30[/tex]

Answer:

30 m/s

Explanation:

[tex]\boxed{\begin{array}{c} \text{\underline{The Constant Acceleration Equations (SUVAT)}}\\\\\begin{aligned}v&=u+at\\\\s&=ut+\dfrac{1}{2}at^2\\\\ s&=\left(\dfrac{u+v}{2}\right)t\\\\v^2&=u^2+2as\\\\s&=vt-\dfrac{1}{2}at^2\end{aligned}\end{array}}[/tex]

[tex]\boxed{\begin{minipage}{9 cm}s = displacement in m (meters)\\u = initial velocity in m/s (meters per second)\\v = final velocity in m/s (meters per second)\\a = acceleration in m/s$^{2}$ (meters per second per second)\\t = time in s (seconds)\\\\When using SUVAT, assume the object is modeled\\ as a particle and that acceleration is constant.\end{minipage}}[/tex]

Given:

Substitute the given values into  v = u + at and solve for v:

[tex]\begin{aligned}v & = u+at\\\implies v & = 10 + 2(10)\\& = 10 + 20\\& = 30\; \sf m/s\end{aligned}[/tex]

Therefore, the final velocity of the vehicle is 30 m/s.

From the Newton's first law, we can see that the impressed force is equation the rate at which the momentum changes.

F = m(v - u)/t

F = force applied

m = mass of the body

v = final velocity

u = initial velocity

t = time

1) Deceleration of the person wearing the seatbelt is; 0 - 20/ 0.1 = -200 m/s^2

2) Force exerted = 50 Kg * ( -200 m/s^2) = -10000 N

3) Deceleration of the person stopped by the dashboard = 0 - 20/ 0.01 = -2000 m/s^2

4) Force exerted by the dash board on the person = 50 Kg * (-2000 m/s^2) = -100000 N

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The distance traveled by a rock on mercury due to gravity is 100.96.

given that,

acceleration due to gravity, g = 3.59 m/s²

mass of the rock = 21 g

time = 7.5 s

distance traveled =?

using the equation of motion,

s= ut + 1/2 at^2

since u = 0
s = 1/2 x 3.59 x 7.5 x 7.5 = 100.96

Mercury is roughly 0.383 times the size of Earth and just 0.055 as massive, with a mean radius of about 2,440 km and a mass of 3.30 1023 kg. As a result, Mercury is the Solar System's smallest and least massive planet. Mercury has a surface gravity of 3.7 m/s2, which is equal to 0.38 g, although this is due to its high density, which is a solid 5.427 g/cm3, which is higher than Earth's 5.514 g/cm3.

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0.1111 W/m²  is the sound intensity at a distance of 27 m from the generator.

The amount of energy travelling through a unit area in a unit of time perpendicular to the direction of the sound waves is known as the sound intensity. Sound intensity is inversely related to the square of the sound's distance when all other factors are held constant. This is,

I ∝ (1/r²)

I = k/r²

Since k can be the constant of proportionality. k = Ir²

We can write this relation as

I₁ × r₁² = I₂ × r₂²

I₁ = 0.25 W/m²

r₁ = 16 m

I₂ = ?

r₂ = 24 m

0.25 × 16² = I₂ × 24²

I₂ = (0.25 × 16²)/24²

I₂ = 0.1111 W/m²

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A glass stopper has a volume =  16 cm^3

mass = 40 g

Therefore, density (g/cm^3) = MASS/ VOLUME

DENSITY = 40/16  g/cm​​​​​^3​

Density = 2.5 g/cm​​​​​^3​

In kg/m^3 => 2.5*10^-3 kg / 10^-6m^3 = 2500 kg/m^3

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The answer to the given question is 820 Kelvin. Gauss' Law demonstrates how electric fields, E, can be produced by static electricity, q. Gauss' Law, which bears the name of German physicist Carl Friedrich Gauss, is the third of Maxwell's four equations. According to Gauss' Law, an electric charge, qv, or static electricity, produces an electric field, E. (voltage).

This question is an application of Gauss Law, which states that the pressure P and temperature T of an ideal gas are directly proportional to one another. In other words, adiabatic increase in pressure will result in the same rise in temperature. Mathematically,

it can be written as: 

P1/ T1 = P2/ T2

Therefore, Temperature T2 = 275 kPa * 298K / 100 kPa = 820 K. Thus, the minimum compressor exit temperature possible is 820 Kelvin.

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The sample size of the standard deviation of a sample that was reported to be 30 is calculated as 8.

The process of deciding how many observations or replicates to include in a statistical sample is known as sample size determination.

Any empirical study with the aim of drawing conclusions about a population from a sample must take into account the sample size as a crucial component.

Standard deviation = square root of ∑(x-average)^2 / N = 30

∑(x-average)^2 = 7200

Putting the values in standard deviation formula where N = sample size

30 = sqrt of ∑(x-average)^2 / N

Then squaring off on both sides,

900 = 7200/N

⇒N = 8

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The total photons at 660nm that are needed to be absorbed are 5.533 x 10²¹ in order to melt the ice.

Planck's equation is used to determine that the energy (E) of a photon is equal to hv = hc/λ, where this v is stated as the frequency of the electromagnetic radiation and λ as its wavelength.

Wavelength = 660nm = 6.60 x 10^-7 m

First, we find out the energy that is required to melt 5.0 x 10^2 grams of ice. This is given by:

Energy = mass multiplied by latent heat of fusion

Energy =   5.0 x 10^2g x 334 J/g

Energy = 167 x 10^3 J

So, we now have that to melt 5.0 x 10^2 g of ice, we need 334J of energy

Next, we can use Planck's equation which is:

Energy = (number of photons multiplied by Planck's constant x speed of light) / wavelength

167 x 10^3 J = [n * 6.64 x 10⁻³⁴ * 3 x 10⁸ ]/ 6.60 x 10^-7

n = 5.533 x 10²¹

5.533 x 10²¹ photons need to be absorbed by the ice in order to melt.

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No Change in Current as it passes through a resistor.

When there is an IR drop across a resistor, the current flowing through the resistor causes a change in potential or voltage across the resistor. based on Ohm's law

V = RI

where V is the resistance's voltage.

resistance, or R

I = present

R is now known to be constant.

The applied voltage also affects the current for a particular resistance.

Therefore, unless we change the resistance, no change in current is visible when current flows through a resistor.

When the IR drops across the resistor, the potential also drops using Ohm's law.

Thus, the potential energy of the electrons across the resistor drops. But the kinetic energy of the electrons remains the same.

The current is defined by the rate of flow of electrons which remains the same as the kinetic energy did not change.

Hence, the current won't change while passing through the resistor.

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The correct answer is an option (b) 2.30 kg.

Density is denoted by the symbol 'p'. The density of a substance is directly proportional to its mass and inversely proportional to its volume. It means that with an increase in mass density also increases and with a decrease in volume density also decreases.

The volume of the intravenous glucose solution is v.

v = 2 L

The density of the intravenous glucose solution is p.

p = 1.15 mL

The mass of the intravenous glucose solution is,

1 L = 1000 mL

2 mL = 2000 mL

[tex]Density = \frac{Mass}{ Volume}[/tex]

[tex]p = \frac{m}{v} [/tex]

[tex]1.15 = \frac{m}{2000} [/tex]

m = 1.15 × 2000

m = 2300 g

m = 2.30 kg.

The mass of the intravenous glucose solution is 2.30 kg.

Therefore, the correct answer is an option (b) 2.30 kg.

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The mass of lead required to make a 1.00 cm3 fishing sinker is 11.3g.

What is mass?

Mass is a metric used in physics to express inertia, a fundamental characteristic of all matter. A mass of matter's resistance to altering its direction or speed in response to the application of a force is what it essentially is. The change that an applied force produces is smaller the more mass a body has.

Given :

Density of lead = 11.3 g/cm3

Volume of  sinker  =  1.00 cm3

One of a substance's attributes is density, which is calculated by dividing the mass by the volume. Mathematically:

Density : Mass / volume

therefore after putting the values,

mass= 11.3g

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As we see in the scatterplot graph and the briefing given below the most appropriate option is A-As age increases, weight increases.

If you follow the arrow's trajectory, your finger will move to the right, increasing age (on the horizontal axis).

Additionally, as your finger rises, the weight (on the vertical axis) does as well.

Age and weight increase in tandem since both processes are ongoing.

The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis. On the graph, each individual in the data is represented by a point.

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The complete question is-

Analyze the scatterplot graph.

Which trend does the graph show?

A-As age increases, weight increases.

B-As weight decreases, age increases.

C-As age increases, weight remains the same.

D-As weight increases, age remains the same.

The decibel level of a sound that is twice as intense as 90dB is 93.013dB.

What is a decibel level?

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The radius of a sphere is the distance between the centre point of the sphere to the surface of the sphere.

r = d / 2

A = 4 π r²

r = √ ( A / 4 π )

V = 4 / 3 π r³

r = ∛ ( 3 V / 4 π )

r = Radius of the sphere

d = Diameter of the sphere

A = Surface Area of the sphere

V = Volume of the sphere

A sphere is the 3-dimensional form of a circle. Since the radius of the sphere is a measure of length, its unit is usually meter.

Therefore, the radius of a sphere is the distance between the centre point of the sphere to the surface of the sphere.

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When a ball thrown straight upwards reaches the very top of its path, its acceleration is: equal to zero (0)

The fact that the acceleration at the highest point of the ball's trajectory is equal to zero is related to the fact that a transition point is reached in which the acceleration that is equal to gravity goes from being negative when the ball is going up to becoming positive at the instant in which it begins to descend due to the effect of the force of gravity.

In physics vertical launch upwards is the motion described by an object that has been launched vertically upwards in which the height and the effect of the earth's gravitational force on the launched object are taken into account.

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Using the python interpreter as a calculator, the volume of the sphere having radius 5 is calculated as 523.5987749999999.

The volume of the sphere is 523.5987749999999

The Python interpreter is a virtual machine, which means that it is computer simulation software.

This specific virtual machine is a stack machine; to carry out its tasks, it manipulates a number of stacks (as contrasted with a register machine, which writes to and reads from particular memory locations).

Interpreted terminology

Python is an interpreted language, therefore programmers written in it are translated from their source code into bytecode before being run by the Python virtual machine.

Because Python code does not need to be created and linked like code for other popular compiled languages, such C and C + +, it differs from these languages.

Given that

Pi = 3.14159265

r = 5

V = 4/3 x π x r x 3

V = 523.5987749999999

Print (The volume of the sphere is: 1, V)

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Answer:

10^24 kilo

Explanation:

the moon's mass is 10^24

Early sulfate reducers set the stage for the evolution of

b) photosynthesis, the first form which harvested hydrogens from h2s.

The two energy-carrying molecules ATP and NADPH are then added to the Calvin Cycle in plants along with carbon dioxide to produce the glucose molecule, which has a longer half-life than the other two energy-carrying molecules.

The Krebs Cycle is used by bacteria. Carbon fixation, reduction reactions, and RuBP regeneration all take place in three steps.

Even though they only occur when light is present, these processes are known as light-independent reactions.

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