A motorcycle travels a distance of 420 miles in 8.5 hours. Give the average speed of the motorcycle

Answers

Answer 1

Answer:

As per Provided Information

Distance travelled by motorcycle is 420 miles

Time taken by motorcycle is 8.5 hours

we have been asked to determine the average speed of the motorcycle .

[tex] \bf \: Speed_{(Average)} = \cfrac{total \: distance \: travelled}{time \: taken} [/tex]

Now let's put the given value to find the average speed of motorcycle

[tex] \longrightarrow \sf \: Speed_{(Average)} \: = \cfrac{420}{8.5} \\ \\ \\ \longrightarrow \sf \: Speed_{(Average)} \: = \cfrac{4200}{85} \\ \\ \\ \longrightarrow \sf \: Speed_{(Average)} \: = \cancel\cfrac{4200}{85} \\ \\ \\ \longrightarrow \sf \: Speed_{(Average)} \: = 49.41 \: miles \: per \: hour[/tex]

Therefore,

Average speed of the motorcycle is 49.41 miles per hour .

Related Questions

Why does Venus appear so bright to our eyes?

it is much larger than either Mercury or Mars

it gets closer to us than does any other planet

All of the items listed helps us understand why Venus is so bright.

its sulfuric acid cloud cover reflects almost 60% of the sunlight

it lies closer to the Sun than we do, so sunlight is more intense there

Answers

Answer:

GIVE ME BRAINLIEST!!!!!!!!!!

Why does Venus appear so bright to our eyes?

Venus is so bright because its thick clouds reflect most of the sunlight that reaches it (about 70%) back into space, and because it is the closest planet to Earth. Venus can often be seen within a few hours after sunset or before sunrise as the brightest object in the sky (other than the moon).

it is much larger than either Mercury or Mars

Mars, the fourth planet from the sun, is the second smallest planet in the solar system; only Mercury is smaller.

it gets closer to us than does any other planet

In other words, Mercury is closer to Earth, on average, than Venus is because it orbits the Sun more closely. Further, Mercury is the closest neighbor, on average, to each of the other seven planets in the solar system.

All of the items listed helps us understand why Venus is so bright.

Venus is so bright because its thick clouds reflect most of the sunlight that reaches it (about 70%) back into space, and because it is the closest planet to Earth. Venus can often be seen within a few hours after sunset or before sunrise as the brightest object in the sky (other than the moon).

its sulfuric acid cloud cover reflects almost 60% of the sunlight

Clouds. Venusian clouds are thick and are composed mainly (75–96%) of sulfuric acid droplets. These clouds obscure the surface of Venus from optical imaging, and reflect about 75% of the sunlight that falls on them. The geometric albedo, a common measure of reflectivity, is the highest of any planet in the Solar System

it lies closer to the Sun than we do, so sunlight is more intense there

When it is winter in the northern half of Earth, the southern hemisphere, tilted toward our Sun, has summer. During fall and spring, some locations on Earth experience similar, milder, condition.

Kiting during a storm. The legend that Benjamin Franklin flew a kite as a storm approached is only a legend — he was neither stupid nor suicidal. Suppose a kite string of radius 2.02 mm extends directly upward by 0.823 km and is coated with a 0.506 mm layer of water having resistivity 159 Ω·m. If the potential difference between the two ends of the string is 186 MV, what is the current through the water layer? The danger is not this current but the chance that the string draws a lightning strike, which can have a current as large as 500 000 A (way beyond just being lethal).

Answers

Answer:

The current is   [tex]I  =  1.1434*10^{-5}}\  A[/tex]

Explanation:

From the question we are told that

   The radius of the kite string is  [tex]R =  2.02 mm =  0.00202 \ m[/tex]

   The  distance it extended upward is   [tex]D =  0.823 km = 823 \  m[/tex]

   The thickness of the water layer is [tex]d = 0.506 mm  =  0.000506 \  m[/tex]

   The resistivity is  [tex]\rho =  159\ \Omega  \cdot m[/tex]

   The potential  difference is  [tex]V  =   186 MV =  186 *10^{6} \  V[/tex]

Generally the cross sectional area of the water layer is mathematically represented as

      [tex]A =  \pi r^2[/tex]

Here  r is mathematically represented as

      [tex]r =  [(R + d ) - R][/tex]

=>   [tex]r =  [(0.00202 +  0.000506 ) - 0.00202][/tex]

=>  [tex]r =  0.000506[/tex]

=>     [tex]A = 3.142 *  [0.000506]^2 [/tex]  

=>     [tex]A = 8.0447*10^{-7}\ m^2 [/tex]  

Generally the resistance of the water is mathematically represented as

    [tex]R =  \frac{\rho  * D }{A}[/tex]

=>   [tex]R =  \frac{159  *823 }{8.0447*10^{-7}}[/tex]

=>   [tex]R = 1.62662 * 10^{11} \  \Omega  [/tex]

Generally the current is mathematically represented as

      [tex]I  =  \frac{V}{R}[/tex]

=>    [tex]I  =  \frac{186 *10^{6} }{1.62662 * 10^{11}}[/tex]

=>    [tex]I  =  1.1434*10^{-5}}\  A[/tex]

The density of blood is 2kg/m.convert to g/cm

Answers

Explanation:

if we convert it into g/cm it'll be

2000 grams

frances drops a .75kg ball off a balcony sandra standing on the ground below the balcony, catches the ball by exerting a 15.5N force upwards on the ball. determine the acceleration of the ball while aisha is catching it
show diagrams and sketch and explain why

Answers

Answer:

[tex]a=-10.86\ m/s^2[/tex]

Explanation:

Given that,

Mass of a ball, m = 0.75 kg

It is dropped off a balcony Sandra standing on the ground below the balcony, catches the ball by exerting a 15.5N force upwards on the ball.

We need to find the acceleration of the ball while Aisha is catching it.

The net force acting on the ball is given by :

F = ma

In this case, when the ball is accelerating downward,

mg-F=ma

a is the acceleration of the ball and g is the acceleration due to gravity

So,

[tex]a=\dfrac{mg-F}{m}\\\\a=\dfrac{0.75\times 9.81-15.5}{0.75}\\\\a=-10.86\ m/s^2[/tex]

A negative sign shows that the ball is accelerating in a downward direction.

A gecko crawls vertically up and down a wall. Its motion is shown on the following graph of vertical position yyy vs. time ttt.
Graph of y (in meters) vs. t (in seconds) that starts at 6 m at 0sec, decreases linearly to 2m at 4 sec, stays constant at 2m from 4 sec to 7 sec, increases linearly to 5 m from 7 sec to 9 sec, then stays constant until 10 sec
Graph of y (in meters) vs. t (in seconds) that starts at 6 m at 0sec, decreases linearly to 2m at 4 sec, stays constant at 2m from 4 sec to 7 sec, increases linearly to 5 m from 7 sec to 9 sec, then stays constant until 10 sec
What is the average velocity of the gecko between the times t=0\text{ s}t=0 st, equals, 0, start text, space, s, end text and t=7\text{ s}t=7 st, equals, 7, start text, space, s, end text?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
0.57\,\dfrac{\text m}{\text s}0.57
s
m

0, point, 57, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction

(Choice B)
B
-0.57\,\dfrac{\text m}{\text s}−0.57
s
m

minus, 0, point, 57, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction

(Choice C, Checked)
C
-1.0\,\dfrac{\text m}{\text s}−1.0
s
m

minus, 1, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction

(Choice D)
D
1.0\,\dfrac{\text m}{\text s}1.0
s
m

Answers

Answer:

gfdvcfffddfgffffdrddgfddddghtscgvfrggxfhxdg

Answer:

-.57

Explanation:

Slope from the points (0,6) and (7,2)

2-6/7-0=-.57

A drone flies 8 m/s due East with respects to the wind. The wind is blowing 6 m/s due North with respects to the ground. What is the speed of the drone with repeat to the ground? A. 14m/s B. 10m/s C. 2m/s D. 20m/s

Answers

Answer:

v=10 m/s

Explanation:

Given that,

Speed of a drone is 8 m/s due East with respects to the wind

Speed of a drone 6 m/s due North with respect to the ground.

We need to find the speed of the drone with respect to the ground. Let v is the speed. It is given by the resultant of two speeds.

[tex]v=\sqrt{8^2+6^2} \\\\v=10\ m/s[/tex]

So, the speed of the drone with respect to the ground is 10 m/s.

Which of the following statements are true about the motion of an object?

a. To change the magnitude of the momentum you need to apply a force with a component parallel to the momentum (either in the same direction as the momentum or the opposite direction).
b. A force perpendicular to the momentum changes the direction of the momentum but not its magnitude.
c. When an object moves at constant speed along a curving path, the net force on the object must act straight outward from the center of the kissing circle.
d. To make an object turn to the left, something has to exert a force to the right on the object.

Answers

Answer: B

Explanation:  A force perpendicular to the momentum changes the direction of the momentum but not its magnitude.

Answer:

a. To change the magnitude of the momentum you need to apply a force with a component parallel to the momentum (either in the same direction as the momentum or the opposite direction).

d. To make an object turn to the left, something has to exert a force to the right on the object.

Explanation:

For motion along a circle or curve, the net force on the particle must be parallel with the change in momentum.

This change in momentum of the system is given by;

[tex]\delta P_{sys} = F_{net} \delta t[/tex]

Thus, option A is correct.

a. To change the magnitude of the momentum you need to apply a force with a component parallel to the momentum (either in the same direction as the momentum or the opposite direction).

Also, applying the principle of torque, to make an object turn to the left, something has to exert a force to the right on the object.

Option D is also correct.

A spring with a force constant of 5.0×104 N/m is initially at its equilibrium length.
How much work must you do to stretch the spring 0.070 m?
How much work must you do to compress it 0.070 m?

Answers

(a) The work done in strecthing the spring is 122.5 N.

(b) The work done in compressing the spring is -122.5 N.

Work done to stretch the spring

The work done in stretching a spring is positive since the applied force acts in the same direction as the displacement.

The work done in strecthing the spring is calculated as follows;

W = ¹/₂kx²

W = ¹/₂ x (5 x 10⁴) x (0.07)²

W = 122.5 N

Work done in compressing the spring

The work done in compressing the spring is negative, since the applied force acts in opposite direction to the displacement of the spring.

The work done in compressing the spring is calculated as follows;

W = -¹/₂kx²

W = -¹/₂ x (5 x 10⁴) x (0.07)²

W = -122.5 N

Learn more about work done by springs here: https://brainly.com/question/12886924

6.When light bends it is called
a - broken
b- benzene
C - reflection
d - refraction

Answers

Answer:

D refraction

Explanation:

I had a question like this so and I got it right so I believe this is the correct answer

The sphere-rod combination can be pivoted about an axis that is perpendicular to the plane of the page and that passes through one of the five lettered points. Through which point should the axis pass for the moment of inertia of the sphere-rod combination about this axis to be greatest?

Answers

The point A with the higher mass of 10kg will have the greatest moment of inertia.

What is Inertia?

This can be defined as the resistance of any physical object to a change in its velocity.

Masses which have the highest values and are further away form the axis of rotation have the greatest moment of inertia which was why point A was chosen as the most appropriate choice.

Read more about Inertia here https://brainly.com/question/1140505

Take another look at line 1. Suppose that you use distance and time between any pair of neighboring dots to calculate speed:


speed = distance ÷ time


Will this speed be the same or different from the average speed you calculated in part F? Why?

Answers

Answer:

The time of travel and the distance between neighboring dots is always the same. So, the speed between neighboring dots is constant. This speed will be the same as the average speed in part F. hope it helps!

A spring has a relaxed length of 7 cm and a stiffness of 200 N/m. How much work must you do to change its length from 10 cm to 15 cm

Answers

The work W needed to stretch/compress a spring from rest by a distance x is

W = 1/2 kx²

where k is the spring constant.

This means the work needed to change the length of this spring by 10 cm = 0.01 m is

W = 1/2 (200 N/m) (0.01 m)² = 0.01 J

and by 15 cm = 0.015 m is

W' = 1/2 (200 N/m) (0.015 m)² = 0.0225 J

Then the total work performed on the spring by stretching from 10 cm to 15 cm is

∆W = W' - W = 0.0225 J - 0.01 J = 0.0125 J

An atom has 5 protons, 4 neutrons, and 6 electrons. Which one of the following could be its isotope

Answers

Answer:

9 :)

Explanation:

what is a mitochondria​

Answers

Answer:

The mitochondria, also known as the mitochondrion, is the organelle that produces energy in living organisms.

Explanation:

This organelle is found in Eukaryotic cells. This organelle converts energy into food molecules through a process known as cellular respiration.

I hope this helps you

:)

Will give brainlist and many points.

What happens when a plane passes the speed of sound?
How does it sound?
Is the sound super high since the wavelength is super low or maby even non existent?
How does it look and why does it look that way?
How will it affect people on ground?


Answer as many of the questions as possible. You can also send links beside your answers for me to read.
Please make your answers understandable with reasoning backing it.​

Answers

Answer:

They create enormous amounts of sound energy, much like explosion. When an aircraft passes through air, it creates a series of pressure waves just like the waves created by the boat. As the speed of aircraft increases these waves are forced to compress.

Answer:

What happens when a plane passes the speed of sound?

Answer - You hear a loud BOOM then you cant hear it

How does it sound?

Answer - there is no sound

Is the sound super high since the wavelength is super low or maybe even non-existent?

Answer - When its about to break the sound barrier it makes a high pitched sound

How does it look and why does it look that way?

Answer - Its air you cant see it ;-;

How will it affect people on ground?

you will hear the sound and it might hurt but nothing else

Explanation:

A transformer has 10,000 windings on the primary side and 5,000 windings on the
secondary side. 100 volts is applied to the primary side. What is the anticipated voltage
on the secondary side? Is this a step-up or step down transformer?

Answers

Answer:

50 V; step-down transformer

Explanation:

10,000 : 5,000 = 100 : V

V = 50 V

From 100 V change to 50 V, so it is a step-down transformer

Please help me!!! I'm so lost!!

Answers

I’m pretty sure it would be 200 because the other side adds up to 200 and since it’s balanced they have to be the same.

weather meaning of physics​

Answers

Answer:

1. The day-to-day conditions of the atmosphere at a place with respect to elements like humidity, temperature, wind speed, rainfall, etc. is called the weather of that place.

2. Weather can be cloudy, sunny, rainy, stormy or clear. It is a part of the natural phenomenon which maintains the equilibrium in the atmosphere.

3. But conditions can be worse sometimes. When the atmospheric conditions are extreme or intense enough to cause property loss or life loss, such weather is termed as severe weather.

4. These also vary according to the altitudes, latitudes, and region and pressure differences. Tornadoes, cyclones, heavy rainfall, fog, winter storms come under this category. They are disastrous and hazardous. Proper disaster management and strategies are required to handle these conditions.

An 80 N bowling ball has an apparent weight of 60 N when completely submerged in water. What is the average density of the bowling ball

Answers

Answer:

V * ρB = WB        volume of ball * density of ball = weight of ball

V * ρW = Ww        volume of ball * density of water = buoyant force

ρB / ρW = WB / Ww = 80 / 20 = 4    water provides 20 N of buoyant force

ρB = 4 ρW = 4 gm/cm^3

ρW = 1000 kg / m^3 = 1 gm / cm^3

(1 gm/cm^3) = .001 kg / .000001 m^3 = 1000 kg/^3

ρW = 1 gm / cm^3

multiply by 9.8 or 980 to get weight densities

In this case

4 * 1000 kg/m^3 * 9.8 m/s^2 = 39200 N /m^3      weight density of ball

ILL GIVE BRAINLIEST

The planets move around the center star in different orbits. Which planet has more Vittar is in the same relative position from its star as earth’s orbit isfrom this Sun?

Answers

It takes 248 Earth years for Pluto to complete one orbit around the Sun. Its orbital path doesn't lie in the same plane as the eight planets, but is inclined at an angle of 17°. Its orbit is also more oval-shaped, or elliptical, than those of the planets.

Who traveled the farthest after 60 minutes?

Answers

Answer:

Is it only me who can't understand your question?

Pls give the full question ...

Hope you have a great day!

Can someone help me!

Answers

Answer:

Explanation:

For example 1, there is no friction, so the acceleration in example 1 is:[tex]\sum F=F=100=ma \rightarrow a=\frac{100}{50}=2 ms^{-2}[/tex]

For example 2, there is a friction, so the acceleration in example 2 is:

[tex]\sum F=F-f=100-40 = 60 = ma\rightarrow a_{2}=\frac{60}{50}=1.2 ms^{-2}[/tex]

Here we can say that "according to Newton's 2nd Law, the box in example 2 has less acceleration than in the example 1". So, the claim is denied.  

Calculate the displacement in m and velocity in m/s at the following times for a rock thrown straight down with an initial velocity of 11.4 m/s from the Verrazano Narrows bridge in New York City. The roadway of this bridge is 70.0 m above the water. (Enter the magnitudes.)
(a)
0.500 s
displacement

velocity

Answers

Answer:

y = 6.92[m]

Vf = 16.305[m/s]

Explanation:

To solve this problem we must use the following kinematics equations, where we must first find the final velocity.

[tex]v_{f}=v_{i}+(g*t)[/tex]

where:

Vi = initial velocity = 11.4[m/s]

Vf = final velocity [m/s]

t = time = 0.5[s]

g = gravity acceleration = 9.81[m/s^2}

Note: the positive sign in the equation above is because the acceleration of gravity goes in the direction of the motion of the rock.

Vf = 11.4 + (9.81*0.5)

Vf = 16.305 [m/s]

Now we can calculate how far the rock goes, using the following equation:

[tex]v_{f} ^{2}= v_{i} ^{2}+(2*g*y)\\v_{f} ^{2}- v_{i}^{2} = 2*g*y\\y = \frac{v_{f} ^{2}- v_{i}^{2}}{2*g} \\y = \frac{16.305^{2}-11.4^{2} }{2*9.81}\\ y=6.92[m][/tex]

Therefore the Rock will be (70 - 6.92) = 63.07 [m] above the water level

A, B, and C are three successive points on a straight line. AB = 6.0 m, and BC = 10.0 m.

A small object moving along this line from rest with uniform acceleration, passes B and C, 2.0 s

and 4.0 s, respectively, after passing A. Calculate the

i)

acceleration of the body,

Answers

Answer:

1 m/s²

Explanation:

Let velocity at A be v,

Use d = v*t + at²2/2

From A to B,

6 = v(2) + a(2²)/2 = 2v + 2a, so

v + a = 3   (1)

From A to C,

6 + 10 = v(4) + a(4²)/2

16 = 4v + 8a  

or, v + 2a = 4   (2)

From (1) (2), get

a = 1 m/s²

A block-spring system oscillates on a frictionless horizontal surface. The time needed for the block to complete one cycle is 0.1 sec. Determine the time needed for the block to travel from -A/2 to A/2, where A is the amplitude of motion

Answers

The time needed for the block to travel from -A/2 to A/2 is mathematically given as

t=0.5sec

What is the time needed for the block to travel from -A/2 to A/2?

Generally, when the start point is the mean intial position and it goes from  A/2  down through the right goes through and fro back to the mean position, and this is after it must have gone through -A/2. Hence it has finished one cycle (0.1 sec.)

In conclusion, for an -A/2 to A/2 oscillation, then it will finish half-cycle given time period to be

t=1/2

t=0.5sec

Read more about Time

https://brainly.com/question/4931057

You want to double the radius of a rotating solid sphere while keeping its kinetic energy constant. (The mass does not change.) To do this, the final angular velocity of the sphere must be Group of answer choices

Answers

The Final angular velocity of the sphere is : Half of its initial value ( W/2 )

Kinetic energy of a rotating body

Given that The kinetic energy of a rotating body ( K ) = 1/2 IW² --- ( 1 )

where : I = moment of inertia,  w = angular velocity

I = [tex]\frac{2}{5} MR^{2}[/tex]

Therefore equation ( 1 ) becomes

K = [tex]\frac{1}{5}MR^2W^2[/tex]   ----- ( 2 )

After doubling the radius

R' = 2R

K' = K

Mass = unchanged

therefore :

  [tex]\frac{1}{5}MR'^2W'^2 = \frac{1}{5}MR^2W^2[/tex]

= ( 2R )² W'² = R²W²

Resolving equation above

Hence : W' ( new angular velocity ) =  W / 2

In conclusion The Final angular velocity of the sphere is : Half of its initial value ( W / 2).

Learn more about Kinetic energy of a rotating body :https://brainly.com/question/25959744

Robert throws a 3 kg rock at 20 m/s. What is the rock's momentum?
a
O 0.15 kgm/s
O 6.67 kgm/s
O 20 m/s
O 60 kg . m/s

Answers

P=mv
P=3 * 20
P= 60 kg.m/s

I need to know what the answer is

Answers

Answer:

F = M a       fundamental Newton's equation

F = 3 kg * 3 m/s^2 = 9 kg m / s^2 = 9 Newtons

list down the advantages and disadvantages
of the micrometer
guage
over vernier
Caliper?
Screill

Answers

I’m not sure what you’re asking here

A car slows from a velocity of 26m/s to 18m/s in a distance of 52 meters. What was the cars acceleration

Answers

Recall that

v² - u² = 2 ax

where u and v denote initial and final velocities, respectively; a is acceleration; and ∆x is the distance traveled.

Then we get

(18 m/s)² - (26 m/s)² = 2 a (52 m)

a = ((18 m/s)² - (26 m/s)²) / (104 m)

a ≈ -3.4 m/s²

-3.4 by use v^2=u^2+2as
Other Questions
solve for all real numbers of x. x^2+4=0 Writing PromptaIn your opinion, what makes a character in a story the villain?Based on your definition, which character best qualifies as thestory's villain, Nimona, Lord Ballister Blackheart, or SirGoldenloin? Respond in an essay of at least 300 words. Supportyour argument using evidence from the text. Examine why Winston believes that a real love affair is an almost unthinkable event. The price of a cd was decreased by 2% to 14. What was the price before the decrease?Give your answer to the nearest penny. Which of the following is an example of government corruption in Northern Eurasia? A) Militant groups who have attacked trains in Russia. B) Ethnic conflict between Uzbeks and Kyrgyz. C) Officials taking money for themselves that is meant to provide government services. D) A lack of democracy in the region. Please help! I have more questions like this! The price of broccoli is $1.25 per pound. Let y be the total cost in dollars of buying x pound of broccoli. Which equation represents the situtation? The product of three different whole numbers is 40. What is the largest possible sum of the 3 numbers How are angiosperms and gymnosperms similar? have seeds have spores seedless have na-ked seeds HELPP 10 POINTS Here's a graph of a linear function. Write the equation that describes that function. When a biosphere resource is used up faster than it can be replaced, it is becauseA it is a natural resource.B it can be replaced in a short amount of time.C the resource forms very quickly.D the resource forms very slowly. What is the constitutional provision that declares the federal constitution and statutes the supreme law of the land?. HELP!!!! ILL GIVE BRAINLIEST!three fish and a turtle.is that sentence:completefragment (missing subject)run-onfragment (missing predicate) What cells do you think is in metaphase? why? He was a French aristocrat and military officer who fought in the American Revolutionary War, commanding American troops in several battles, including the Siege of Yorktown. Who was he?A)Benedict ArnoldB)Maquis de LafayetteC)Napoleon BonaparteD)Bernardo de Galvez Please help Which of the following expresses the primary difference between a reflection and a summary? Money serves as ameasure ofof exchange, is a store of value, and serves a a measure of Which statement best completes the diagram?American colonistsprotest and resist Britishpolicies?Great Britain sendsmore troops to thecoloriGreat Britain shutsdown colonialgovernments.O A. Great Britain punishes the colonists with new taxes.B. Great Britain boycotts products made in the colonies.O C. Great Britain forces colonies to join the Continental CongressD. Great Britain organizes the Committees of Correspondence. read the following excerpt from Leslie Marmon Silko's story "The Man to Send Rain Clouds" The sun was approaching the long mesa where it disappeared during the winter. what type of figurative language is included in this passage? a. hyperbole b. methaphor c. personification. d. simile Which quote from Passage 2 provides evidence that many school districts are dealing with budgetaryconcerns?A. "Lewis-Palmer School District 38 made about $8,000 in its first effort last year with eightadvertisers and 11 buses." (paragraph 22)B. "That could be a lot of bang for the advertising buck, and a nice amount of change for districtcoffers." (paragraph 24)C. "Like Lewis-Palmer, most districts that allow advertising on their buses choose to put the money ingeneral funds to help with such things as higher fuel and utility expenses..." (paragraph 24)D. "Some of the advertisements on Lewis-Palmer buses include dentists, restaurants, insuranceagents, a gymnasium, PTA's and the district's own programs." (paragraph 26)