What problem is MOST likely the result of living in a food desert?

Answers

Answer 1

Answer:

It is water because there is no water


Related Questions

A wooden cube of side 5cm float in water 2.0cm of its depth below the water surface and its sides are vertical calculate the density of the wood in gcm^-3. ( Density of water= 1gcm^-3)​

Answers

Answer:

The density of the wooden cube is   \(\delta= 0.4 \, \frac{g}{cm^3}\)

Explanation:

Recall that the weight of the entire piece of wood that is floating must equal the weight of the displaced water in the case we have an object under flotation.

At the same time. we have a relationship between Volume (V), Weight (w) and density \((\delta)\)  given by the formula:

\(w=\delta\,*\,V\)

Since both weights must be the same, we can write the following equation:

\(w_{wood} = w_{water}\\\delta *\,(5\,\,cm)^3= (\frac{1\,g}{cm^3} )\,(2\,*5^2) cm^3\\\delta= \frac{2}{5} \, \frac{g}{cm^3} \\\delta= 0.4 \, \frac{g}{cm^3}\)

What is the definition of the half-life of a radioactive isotope?
answer: The time it takes for half the parent nuclei in a sample to become daughter nuclei.

Answers

Answer: The half-life is the amount of time it takes for a given isotope to lose half of its radioactivity. If a radioisotope has a half-life of 14 days, half of its atoms will have decayed within 14 days. In 14 more days, half of that remaining half will decay, and so on.

Average sized stars like our own will turn into a(an) _________ at the end if their lifecycle.

A: Red Supergiant
B: Black hole
C: Neutron Star
D: Supernova Nebula

Answers

Answer:

Red supergiant.

Explanation:

When our sun is going to become a red giant, it's going to be 256 times larger than itself now.

in the speed of particles is doubled by what factors of momentum change.? and what factors kinetic energy changes

Answers

If the speed of a particle is doubled, its momentum will also be doubled, because momentum is directly proportional to the speed of the particle. In other words, the momentum of a particle is equal to its mass times its velocity, so if the velocity is doubled, the momentum will also be doubled.

The kinetic energy of a particle is also directly proportional to the square of its speed, so if the speed is doubled, the kinetic energy will increase by a factor of four. This can be expressed mathematically as:

Kinetic energy = (1/2) * mass * velocity^2

If the velocity of a particle is doubled, the kinetic energy will increase by a factor of four, because velocity^2 will increase by a factor of four.

So to summarize, if the speed of a particle is doubled, its momentum will be doubled, and its kinetic energy will increase by a factor of four.

An 5-kg animal accelerates from rest to 10 m/s in 10 m and encounters an average drag force of 12 N. What is the average power output in Watts if this takes 2.0 seconds

Answers

Answer:

60 watts

Explanation:

Given that

Mass of the animal, m = 5 kg

Velocity of the animal, v = 10 m/s

Distance moved by the animal, d = 10 m

Drag force, F(d) = 12 N

Time taken, t = 2 seconds

To start with, we need to find the power output in itself before proceeding to find the average power output. And as such, we have

Power = Force * Distance/Time

But Distance/Time is velocity, so

Power = Force * Velocity

Power = 12 * 10

Power = 120 W.

We then use this power gotten to find the average power output.

Power(avg) = P/t

Power(avg) = 120 / 2

Power(avg) = 60 Watts.

Therefore, the average power output is found to be 60 Watts

How does a wing achieve lift?
1: by forcing air to move faster over the top of the wing
2: by moving air at the same rate on the top and bottom of the wing
3: by forcing air to move slower over the top of the wing

Answers

Bernoulli's equation allows to find the correct result for wing lift is:

       1: by forcing air to move faster over the top of the wing

In fluid mechanics that studies the motion of fluids, the conservation of energy and work is given by the Bernoulli equation

          P₁ + ½ ρ g v₁² + ρ g y₁ = P₂ + ½ ρ g v₂² + ρ g y₂

Where 1 and 2 are the points of interest, above and below the wing, ρ the density, v the velocity, and y the height.

To simplify, suppose that the wing is horizontal, so the difference in height is the width of the wing, the so-called lift is the difference in pressure between the inner and upper part of the wing.

           (P₂-P₁) = ½ ρ (v₁² - v₂²) + ρ g (y₁-y₂)

For a positive lift ΔP> 0 and for the plane to climb, we must have several facts:

The speed at the bottom (v₁) must be greater than the speed at the top (v₂), this is achieved by making the air have to travel a greater distance at the top. The height difference in the wing is small, this is achieved by making the thin ones.

Let's reverse the claims:

      1. True. This makes the term of the kinetic energy be greater and there is greater lift.

     2. False. If the velocity is the same, the energy difference is zero and the substantiation is zero or negative.

     3. False. That makes the lift negative.

In conclusion using Bernoulli's equation we can find the correct result for the wing lift is:

          1: by forcing air to move faster over the top of the wing

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How does a wing achieve lift?1: by forcing air to move faster over the top of the wing2: by moving air

The gravitational force between two gold plates placed 1 meter apart was calculated to be 20 N. One of the plates was replaced with a similar looking plate of another metal with twice the mass. What would be the new force of attraction between the two plates?

A. 20 N
B. 10 N
C. 40 N
D. 60 N

Answers

Answer:

Option C : Force is 40 N

Explanation:

The gravitational force between two gold plates placed 1 meter apart was calculated to be 20 N. One of


According to the HR diagram below, blue giants are in what temperature range?

A. 2,500 k - 5,000 k

B. 5,000 k - 10,000 k

C. 10,000 k - 20,000 k

D. 20,000 k - 40,000 k

 According to the HR diagram below, blue giants are in what temperature range? A. 2,500 k - 5,000 kB.

Answers

Answer:

20 000 - 40 000 K    from the graph

Explanation:

Look straight down from blue giants and read the temps


Describing Physical Changes
Define kinetic energy and thermal energy. Describe what
happens to each as the temperature of a substances
increases.

Answers

During  Physical Changes,  kinetic energy and thermal energy. of the material changes as well as temperature of the substances also changes.

What is Physical Changes?

Physical changes are those that affect a chemical substance's form but not its chemical content. Physical changes may normally be used to separate compounds into chemical elements or simpler compounds, but they cannot be used to separate mixtures into their component compounds.

When something changes physically but not chemically, it is said to have undergone a physical change. Physical means can be used to undo a physical alteration.

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_3) Which of the following is the unit for forces?

Answers

N(Newton) or Kgm/s^2

How much heat has to be added to 1 gallon of water to raise the temperature from
68F to 40C?

Answers

Answer:

The heat needed to raise the temperature of 1 gallon of water from 68°F to 40°C is approximately 28,265 Joules.

Explanation:

What is the net force net
on an airplane window of area 1800 cm2
if the pressure inside the cabin is 0.95 atm
and the pressure outside is 0.76 atm
?

Answers

The net force on the airplane window of area 1800 cm² is 3469.47 Pa.m² .

Given:

Pressure inside the cabin: 0.95 atm

Pressure outside the cabin: 0.76 atm

Area of the airplane window: 1800 cm²

Now to find the net force on the airplane window, we can calculate the pressure difference between the inside and outside of the cabin and to calculate the pressure difference, we subtract the outside pressure from the inside pressure.

Pressure Difference = Pressure inside - Pressure outside

Pressure Difference = 0.95 atm - 0.76 atm

Pressure Difference = 0.19 atm

The area of the airplane window is given as 1800 cm². To simplify calculations in SI unit we convert the area to square meters:

Area in m² = (Area in cm²) / 10,000

Area in m² = 1800 cm² / 10,000

Area in m² = 0.18 m²

As we know,

Net Force = Pressure Difference * Area

Net Force = 0.19 atm * 0.18 m²

Net Force = 0.0342 atm·m²

To convert the net force to pascals (Pa), we use 1 atm = 101325 Pa. Multiplying the net force by 101325 Pa, we get

Net Force = 3469.47 Pa·m²

Therefore, the net force on the airplane window is approximately 3469.47 pascals times square meters (Pa.m²).

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when did the objects that we now see as asteroids and comets form in the solar system?

Answers

Before understanding about the time they were formed, let us understand what these two terms actually are.

Asteroid is a term referred to a small, rocky object that orbit around the Sun along with the planets. These asteroids are much smaller than planets. They are having their won separate region known as asteroid belt. This region lies between Mars and Jupiter. There are lots of asteroids in our solar system. These objects are seldom called as minor planets or planetoids. They are thought to be the leftovers from the early formation of the solar system. It s believed that it was them who shed light on what our solar system was like. Now coming to comets. As stated "Comets are frozen leftovers from the formation of the solar system composed of dust, rock, and ices." So they are considered to be the leftovers in the space that are formed by different ways. Just like asteroids, these comets also have their own space. They are also found in a particular belt. These comets seem to be found in two places: some far beyond the edge of the solar system called the Oort Cloud, and some beyond Neptune in a region called the Kuiper Belt. Since, they orbit closer to the Sun, they heat up and spew gases and dust into a glowing head that can be larger than a planet and also have long streaming tails. So we can say that these comets are large objects which are made of dust and ice and they orbit the Sun due to which their temperature is very high.

These objects like asteroids and comets are the left overs that were supposed to be formed during the formation of early stage of Solar System.

Thus, these are formed about 4.6 billion years ago. The solar system is approximately the same age. These were formed before the planets finished forming. Comets and asteroids are both leftover debris from the primordial solar nebula. This was about 4.6 billon years ago.

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A projectile is fired straight up with an initial velocity of 40.0 m/s . Approximately how high will the projectile ?

Answers

Answer:

it depends on the wind and any other conditions but if you have a controlled environment it should take 1 second to get 40 meters but it could go higher in which it could take about 5 seconds to go 200 meters

Explanation:

hope it helped

:)

The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?

Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.

Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!

Answers

The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.

The p-waves travel with a constant velocity of 7 km/s

The time can be calculated by using the formula

t = d / v

where

T1 =  10:05 a.m

d is the distance they take to travel from the epicenter

v is the speed of the p-waves

On average, the speed of p-waves is

v = 7 km/s

d = 5600 km (given)

Substituting the values in the formula;

t = d / v

t = 5600 ÷ 7

t = 800 seconds

Converting into minutes,

t = 800 ÷ 60

t = 13.3

≈ 13 mins

T1 -  13 mins = T2

10:05 - 13 mins = 9.52 am

It means the earthquake occurred prior 13 minutes, that is at 9.52 am.

Therefore, the earthquake occurred at 9.52 am.

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A wire carries a current of 4.2 A at what distance from the wire does the magnetic field have a magnitude of 1.3×10^ -5 t

Answers

Answer:

the distance is 6.46 cm.

Explanation:

Given

current in the wire, I = 4.2 A

magnitude of the magnetic field, B = 1.3 x 10⁻⁵ T

The distance from the wire is determined by using Biot-Savart Law;

\(B = \frac{\mu_o I}{2\pi r} \\\\r = \frac{\mu_o I}{2\pi B}\)

Where;

r is the distance from the wire where the magnetic field is experienced

\(r = \frac{\mu_o I}{2\pi B}\\\\r = \frac{4\pi \times 10^{-7} \times 4.2 }{2\pi \times 1.3 \times 10^{-5}}\\\\r = 0.0646 \ m\\\\r = 6.46 \ cm\)

Therefore, the distance is 6.46 cm.

What is the average velocity of a train moving along a straight track if its displacement is 192 m was during a time period of 8.0 s

Answers

Answer:

The average velocity of a train moving along a straight track if its displacement is 192 m was during a time period of 8.0 s is 24 \(\frac{m}{s}\).

Explanation:

Velocity ​​is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it. Then, the average velocity relates the change in position to the time taken to effect that change.

\(velocity=\frac{displacement}{time}\)

Velocity considers the direction in which an object moves, so it is considered a vector magnitude.

In this case, the displacement is 192 m and the time period is 8 s. Replacing:

\(velocity=\frac{192 m}{8 s}\)

Solving:

velocity= 24 \(\frac{m}{s}\)

The average velocity of a train moving along a straight track if its displacement is 192 m was during a time period of 8.0 s is 24 \(\frac{m}{s}\).

Select ALL the
correct answers.
Which two examples describe ways that corporations can give large donations to presidential candidates?
A corporation leader makes
direct payment to the candidate.
A corporation creates another company to accept candidate contributions
A corporation collects moneys from its employees to contribute to
A corporation contributes to a Super PAC that
a PAC
accepts contributions
for a candidate,
Reset
Next

Answers

Answer: Hope this helps ;) don't forget to rate this answer !

Explanation:

There are two correct answers:

A) A corporation leader makes direct payment to the candidate.

D) A corporation contributes to a Super PAC that a PAC accepts contributions for a candidate.

Option A describes a scenario where a corporation directly donates money to a presidential candidate, which is allowed as long as it is done within the limits set by campaign finance laws.

Option D describes a scenario where a corporation donates money to a Super PAC, which is a type of political action committee that can accept unlimited donations from individuals, corporations, and other organizations. The Super PAC can then use the money to support or oppose a particular candidate, but it is not allowed to coordinate directly with the candidate or the candidate's campaign.

I hope this helps! Let me know if you have any other questions.

In a double slit experiment, the intensity of light at the center of the central bright fringe is measured to be 6.2 µW/m2. What is the intensity half

Answers

Answer:

   I_FWHW = 3.2 μW / m²

Explanation:

In the analysis of optics and electricity a very useful magnitude is the width at half height (FWHW) and the intensity at this height, which is given by

               I_FWHW = I₀ / 2

corresponds to the width of the line for this intensity.

In this case they give the maximum intensity for which

               I_FWHW = 6.2 / 2

               I_FWHW = 3.2 μW / m²

You do not give more data in your exercise, but the most interesting calculation is to find the angle values ​​for which you have this intensity since it is this range is 50% of the energy of the system, have I write the equation for this calculation

             I = Io cos² x₁   (sin x / x)²

             x₁ = π d sin θ /λ

             x = π b sin θ /λ

where d is the separation of the slits and b the width of each slit

What are the major forces that drive patterns of atmospheric movement?
help plz i being timed

Answers

Answer:

The main force is wind or air

Explanation:

Find the average velocity (in m/s) of a cyclist that starts 150 meters north of town and is 1200 meters north of town after 30 minutes

Answers

Answer:

v = 0.58 m/s

Explanation:

The velocity of an object is given as the ratio of the total distance traveled by the object to the time interval taken for traveling. Hence, we use the following formula to find the average velocity of the cyclist:

v = s/t

where,

v = average velocity = ?

s = distance traveled = final position - initial position =1200 m - 150 m =1050 m

t = time interval = (30 min)(60 s/1 min) = 1800 s

Therefore,

v = 1050 m/1800 s

v = 0.58 m/s

Find acceleration. Will give brainliest!

Find acceleration. Will give brainliest!

Answers

Answer:

16200 km/s

270 km/min

4.5 km/h

Explanation:

Acceleration Formula: Average Acceleration = Δv/Δt (change in velocity over change in time)

Simply plug in our known variables and solve:

a = (45.0 - 0)/10

a = 45.0/10

a = 4.5 km/h

Answer:

\(\boxed{\mathrm{4.5 \: kmph/s \: or \: 1.25 \: m/s^2 }}\)

Explanation:

\(\displaystyle \mathrm{acceleration = \frac{change \: in \: velocity}{time \: taken}}\)

\(\displaystyle \mathrm{a = \frac{v - u}{t}}\)

\(\displaystyle \mathrm{v=final \: velocity}\\\displaystyle \mathrm{u=initial \: velocity}\)

\(\displaystyle \mathrm{a = \frac{45- 0}{10}}\)

\(\displaystyle \mathrm{a = \frac{45}{10}}\)

\(\displaystyle \mathrm{a = 4.5}\)

\(\mathrm{4.5 \: kmph/s = 1.25 \: m/s^2 }\)

what are the 5 super typhoons that entered the Philippine Area of Responsibility (PAR)?

Answers

Answer:

2.1 Typhoon Damrey (Asiang)

2.2 Tropical Storm Longwang (Biring)

2.3 Tropical Depression 03W (Konsing)

2.4 Tropical Depression 04W.

2.5 Unnamed tropical depression.

Explanation:

what is the most effortless walking speed for a person with 90cm long legs if the length of each step is 90cm​

Answers

Answer:

75 cm/second.

Explanation:

Formula:

Walking speed = stride length / time per step

Walking speed = 90cm/time per step

                         = 90cm/1.2 seconds (a common estimate time per step)

                         = 75cm/second.

QUESTION 3 (Start on a new page.)
A small disc, C, is thrown vertically upwards at a speed of 15 m-s¹ from the edge of
the roof of a building of height 30 m. AFTER 0,5 s, a small ball B is shot vertically
upwards from the foot of the building at a speed of 40 m-s in order to hit disc C.
Ignore the effects of air resistance.
3.1
3.2
3.3
15 m-s¹
30 m
Explain the term projectile.
Calculate the:
40 m-s¹
B
3.2.1
Time taken by disc C to reach its maximum height
3.2.2
Maximum height above the ground reached by disc C
Calculate the time from the moment that disc C was thrown upwards until
the time ball B hits the disc..
(2)
(3)
(4)
(6)

Answers

A projectile is an object thrown into the air and subject only to gravity and, if applicable, air resistance. The time taken by disc C to reach its maximum height is approximately 1.53 seconds, and its maximum height above the ground is around 11.48 meters. The time from when disc C was thrown upwards until ball B hits the disc is roughly 1.29 seconds.

3.1 Explanation of the term projectile:

A projectile refers to an object that is launched or thrown into the air and is subject only to the forces of gravity and air resistance (if applicable). The motion of a projectile can be analyzed independently of its mass, shape, or any other physical property. The key characteristic of a projectile is that it follows a curved path known as a trajectory.

When a projectile is launched, it moves along a parabolic trajectory due to the combination of its initial velocity and the force of gravity acting vertically downward. The horizontal motion of a projectile remains constant and unaffected by gravity, while the vertical motion is influenced by the acceleration due to gravity.

The path of a projectile can be described mathematically by considering its initial velocity, angle of projection, and the acceleration due to gravity. Projectile motion finds applications in various fields, such as sports, engineering, and physics, where objects are launched or thrown.

3.2.1 Time taken by disc C to reach its maximum height:

To determine the time taken by disc C to reach its maximum height, we can use the kinematic equation for vertical motion. The equation is:

vf = vi + at

Where:

vf = final velocity (which is zero at the maximum height)

vi = initial velocity

a = acceleration (in this case, acceleration due to gravity, -9.8 m/s²)

t = time

Since the disc is thrown vertically upwards, its initial velocity is 15 m/s. We want to find the time it takes for the disc to reach its maximum height, so we'll use the equation and solve for time (t):

0 = 15 + (-9.8)t

Rearranging the equation, we get:

9.8t = 15

t = 15 / 9.8

Calculating this, we find:

t ≈ 1.53 seconds

Therefore, it takes approximately 1.53 seconds for disc C to reach its maximum height.

3.2.2 Maximum height above the ground reached by disc C:

To determine the maximum height reached by disc C, we can use another kinematic equation for vertical motion:

vf² = vi² + 2ad

Where:

vf = final velocity (which is zero at the maximum height)

vi = initial velocity

a = acceleration (in this case, acceleration due to gravity, -9.8 m/s²)

d = displacement (maximum height)

Since we know the initial velocity (vi) and acceleration (a), we can solve for the displacement (d), which represents the maximum height:

0² = 15² + 2(-9.8)d

Rearranging the equation, we get:

0 = 225 - 19.6d

19.6d = 225

d = 225 / 19.6

Calculating this, we find:

d ≈ 11.48 meters

Therefore, the disc C reaches a maximum height of approximately 11.48 meters above the ground.

Calculating the time from the moment that disc C was thrown upwards until the time ball B hits the disc:

To find the time it takes for ball B to hit disc C, we need to calculate the time it takes for both objects to reach the same height.

Since disc C was thrown upwards from the edge of the roof and ball B was shot vertically upwards from the foot of the building, we need to consider the additional height of the building (30 meters).

The time it takes for disc C to reach the ground is the same as the time it takes for ball B to reach a height of 30 meters above the ground.

Using the kinematic equation for vertical motion, we can calculate the time for ball B:

d = vit + 0.5at²

Where:

d = displacement (30 meters)

vi = initial velocity (40 m/s)

a = acceleration (acceleration due to gravity, -9.8 m/s²)

t = time

30 = 40t + 0.5(-9.8)t²

Rearranging the equation, we get:

4.9t² + 40t - 30 = 0

Solving this quadratic equation, we find:

t ≈ 1.29 seconds or t ≈ -5.82 seconds

Since time cannot be negative in this context, we discard the negative solution.

Therefore, it takes approximately 1.29 seconds from the moment that disc C was thrown upwards until ball B hits the disc.

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A bike accelerates from 0 m/s to 15 m/s over the span of 5 seconds. How fast is the bike
traveling after 2.5 seconds?

Answers

The bike is travelling at 22.5 m/s after 2.5 s

What is acceleration?

This is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

a is the acceleration v is the final velocity u is the initial velocity t is the time

How to determine the acceleration Initial velocity (u) = 0 m/sFinal velocity (v) = 15 m/sTime (t) = 5 sAcceleration (a) =?

a = (v – u) / t

a = (15 – 0) / 5

a = 3 m/s²

How to determine the final velocity in the first 2.5 s Initial velocity (u) = 15 m/sAcceleration (a) = 3 m/s²Time (t) = 2.5 s Final velocity (v) = ?

a = (v – u) / t

3 = (v – 15) / 2.5

Cross multiply

v – 15 = 3 × 2.5

v – 15 = 7.5

Collect like terms

v = 7.5 + 15

v = 22.5 m/s

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2. Explain brightness of light using the wave model of light

Answers

The brightness of light is explained by the wave model of light. Brightness refers to the perceived intensity of light. Brightness is determined by the amplitude or intensity of light waves.

The larger the amplitude, the brighter the light. This can be explained using the wave model of light.Light is a form of electromagnetic radiation that is composed of oscillating electric and magnetic fields. The wave model of light states that light is a transverse wave that propagates through space. The wave model of light states that light travels in straight lines and can be reflected, refracted, and diffracted. Brightness is a measure of the intensity of light waves.

The intensity of light waves is determined by the amplitude of the wave.The amplitude of a wave is the maximum displacement of the wave from its equilibrium position. The larger the amplitude of a wave, the more energy the wave carries. This means that the larger the amplitude of light waves, the brighter the light. The brightness of light can be increased by increasing the amplitude of light waves. This can be achieved by increasing the intensity of light waves. The intensity of light waves can be increased by increasing the power of the light source. Thus, brightness can be explained by the wave model of light as it is determined by the amplitude or intensity of light waves.

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an object is thrown downward with initial (t=0) speed of 10m/s from a height of 60m above the ground.at the same instant (t=0), a second object is propelled vertically upward from the ground level with a speed of 40m/s . at what height above the ground will the two objects pass each other.

Answers

The two objects pass each other at a height of 41 m above the ground.

What are equations of motion?

The equations of motion are the set of equations that describe the relationship between the velocity, acceleration, time, and distance traveled by the object.

The equation used to calculate the distance or height covered by an object is:

S = ut + 1/2 at²

Given, the first object  has speed downward, u₁ = -10 m/s

The height of the first object from the ground, S₁ = 60 m

The initial speed of the second object, u₂ = 40 m/s

The distance S for the first object thrown downward:

S = S₁ + u₁t -(1/2)gt²

S = 60 - 10t - (1/2)gt²                                                      ...........(1)

The distance S for the second object thrown upward:

S = u₂t -(1/2)gt²

S = 40 t - (1/2)gt²                                                            ............(2)

The equation (1) and (2) solve to find the value of 't':

60 - 10t - (1/2)gt² = 40 t - (1/2)gt²  

60 = 50 t

t = 6/5 sec

Substitute the value of 't' in equation (2) to find the value of S:

S = (40) (6/5) - (1/2)× (9.81) ×(6/5)²

S = 41 m

Therefore, both objects pass each other at a height of 41 m above the ground.

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What part of the sweating process promotes cooling?

wiping sweat from the surface of the skin
condensation of liquid sweat on the skin
liquid (sweat) sitting on the skin’s surface
evaporation of liquid sweat from the skin

Answers

Answer: Condensation of liquid sweat on the skin

Explanation:

Given the functions f(x)=(1/x-3)+1 and g(x) = (1/1+4)+3
Which statement describes the transformation of the graph of function f onto the graph of function g?
O The graph shifts 2 units right and 7 units down.
O The graph shifts 7 units left and 2 units up.
O
e graph shifts 7 units right and 2 units down.
O The graph shifts 2 units left and 7 units up.

Given the functions f(x)=(1/x-3)+1 and g(x) = (1/1+4)+3Which statement describes the transformation of

Answers

The statement that describes the transformation of the graph of function f onto the graph of function g is: The graph shifts 2 units right and 7 units down.

To determine the transformation of the graph of function f onto the graph of function g, we compare the two functions f(x) and g(x) and observe the changes in the equations.

The function f(x) = (1/x - 3) + 1 represents a reciprocal function that is shifted vertically 1 unit up and horizontally 3 units to the right. The reciprocal function is reflected about the line y = x.

The function g(x) = (1/(1 + 4)) + 3 simplifies to g(x) = 4 + 3 = 7, which is a constant function representing a horizontal line at y = 7.

By comparing the equations, we can see that the transformation from f(x) to g(x) involves the following changes:

The term 1/x in f(x) is replaced by the constant 1/(1 + 4) in g(x), resulting in a vertical shift of 7 units up.

The term -3 in f(x) is replaced by 3 in g(x), resulting in a vertical shift of 3 units up.

The +1 in f(x) is replaced by +3 in g(x), resulting in an additional vertical shift of 2 units up.

Therefore, the overall transformation is a shift of 2 units to the right and 7 units down.

Hence, the correct statement is: The graph shifts 2 units right and 7 units down.

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