A motorcycle daredevil plans to ride up a 2.0-m-high, 20∘ ramp, sail across a 10-m-wide pool filled with hungry crocodiles, and land at ground level on the other side. He has done this stunt many times and approaches it with confidence. Unfortunately, the motorcycle engine dies just as he starts up the ramp. He is going 10.4 m/s at that instant, and the rolling friction of his rubber tires (coefficient 0.02) is not negligible. Part A: Justify your answer by calculating the distance he travels through the air after leaving the end of the ramp.

Answers

Answer 1

Answer:

The motorcycle daredevil does not sail across the 10-m wide pool filled with hungry crocodiles

Explanation:

The given parameters are;

The height of the ramp = 2.0 m-high

The angle of elevation of the ramp, θ = 20°

The width of the pool = 10 m

The speed with which he is going when the engine fails = 10.4 m/s

The rolling friction between the rubber tires, μ = 0.02

μ·g·cos(θ) = (1/2)·(a)

a = (μ·g·cos(θ))/(1/2)

Where;

a = The acceleration down the plane

∴ a = 0.02 × 9.81 × cos(20°)/(1/2) ≈ 0.369

The length of the ramp, l = 2.0 m/(sin(20°)) ≈ 5.8476088 m

The velocity at the end of the ramp, v² = u² - 2·a·l

∴ v² = 10.4² - 2×(0.369 + 9.81 × sin(20°))×5.8476088 ≈ 64.60446471

v ≈ √(64.60446471) ≈ 8.04

∴ The velocity at the top of the ramp, v ≈ 8.04 m/s

The time it takes the motorcycle to reach ground level from the top of the ramp, t, is given as follows;

h = h₀ + u·t + (1/2)·a·t²

h₀ = 2, u = 8.04×sin(20°), a = -9.81

When h = 0 (ground level), we have;

∴ h = 2+ 8.04×sin(20°)·t - (1/2)×9.81×t²

0 ≈ 2.75·t - 4.905·t² + 2

2.75·t - 4.905·t² + 2 = 0

By using a graphing calculator, we have, t = 0.978 or t = -0.42

At ground level, the time of flight, t ≈ 0.978 s

The horizontal distance the motorcycle travels, before landing, x = u × cos(θ) × t

∴ x = 8.04×cos(20 Degrees) × 0.978 = 7.3889

The horizontal distance the motorcycle travels, before landing, x ≈ 7.3889 m

Therefore, given that the horizontal distance the motorcycle travels in the air 7.3889 m < 10 m, therefore the motorcycle daredevil does not sail across the 10-m wide pool filled with hungry crocodiles


Related Questions

A pendulum is made by letting a 2.0-kg object swing at the end of a string that has a length of 2.1 m. The maximum angle the string makes with the vertical as the pendulum swings is 30°. What is the speed of the object at the lowest point in its trajectory?

Answers

Answer:

The speed of the object at the lowest point in its trajectory is:

[tex]v=2.34\: m/s[/tex]

Explanation:

We can use the conservation of energy between the maximum point of swing and the lowest point of the pendulum.

[tex]P=K[/tex]

[tex]mgh=\frac{1}{2}mv^{2}[/tex] (1)

Where:

h is the height of the object at 30° with the vertical.v is the speed at the lowest point.

We can find h using trigonometry.

[tex]h=L-Lcos(30)=L(1-cos(30))[/tex]

[tex]h=2.1(1-cos(30))=0.28\: m[/tex]

Now, using equation (1) we can find v.

[tex]gh=\frac{1}{2}v^{2}[/tex]

[tex]2gh=v^{2}[/tex]

[tex]v=\sqrt{2gh}[/tex]

[tex]v=\sqrt{2(9.81)(0.28)}[/tex]

[tex]v=2.34\: m/s[/tex]

I hope it helps you!

Dùng một gương phẳng G để hắt 1 chùm ánh sáng mặt trời hẹp xuống đáy một cái giếng cạn hình trụ thẳng đứng dọc theo trục của giếng. Tính góc hợp bởi mặt gương và đường thẳng đứng, biết rằng các tia sáng mặt trời nghiêng với mặt phẳng nằm ngang một góc 60°C

Answers

The answer is c because that’s what I got

pls help me solve this



Answers

Answer:

a) The uniform velocity travelled by the car is 10 meters per second.

(Point b has been erased by the user)

c) The distance travelled by the car with uniform velocity is 100 meters.

Explanation:

a) Calculate the uniform velocity travelled by the car:

The uniform velocity is the final velocity ([tex]v[/tex]), in meters per second, of the the uniform accelerated stage:

[tex]v = v_{o} + a\cdot t[/tex] (1)

Where:

[tex]v_{o}[/tex] - Initial velocity, in meters per second.

[tex]a[/tex] - Acceleration, in meters per square second.

[tex]t[/tex] - Time, in seconds.

If we know that [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]a = 2\,\frac{m}{s^{2}}[/tex] and [tex]t = 5\,s[/tex], then the uniform velocity is:

[tex]v = 0\,\frac{m}{s} + \left(2\,\frac{m}{s^{2}} \right)\cdot (5\,s)[/tex]

[tex]v = 10\,\frac{m}{s}[/tex]

The uniform velocity travelled by the car is 10 meters per second.

(Point b has been erased by the user)

c) The distance travelled by the car ([tex]\Delta x[/tex]), in meters, with uniform velocity is calculated by the following kinematic expression:

[tex]\Delta x = v\cdot t[/tex] (2)

If we know that [tex]v = 10\,\frac{m}{s}[/tex] and [tex]t = 10\,s[/tex], then the distance travelled is:

[tex]\Delta x = \left(10\,\frac{m}{s} \right)\cdot (10\,s)[/tex]

[tex]\Delta x = 100\,m[/tex]

The distance travelled by the car with uniform velocity is 100 meters.

I am confused and need help with the question above??

Answers

It’s b it’s going clockwise

What's the meaning of longitudinal?

Answers

Answer:

A longitudinal study is a research design that involves repeated observations of the same variables over short or long periods of time. It is often a type of observational study, although they can also be structured as longitudinal randomized experiments.

Explanation:

Si se aplic una fuerza de 150N en un área de de 0.4m2¿cual será la preciosa ejercida?

Answers

Answer:

P = 375 Pa

Explanation:

The question says that,"If a force of 150N was applied in an area of ​​0.4m², what will be the precious exerted?"

We have,

Force, F = 150 N

Area, A = ​​0.4m²

We need to find the pressure exerted. We know that,

Pressure = forece/area

So,

[tex]P=\dfrac{150\ N}{0.4\ m^2}\\\\P=375\ Pa[/tex]

So, the required pressure is equal to 375 pa.

Earth's atmosphere _____. is made mostly of oxygen and carbon dioxide protects the surface from meteoroids and comets reflects most of the sun's heat and light back into space is very thin compared to the moon's atmosphere

Answers

Answer:

protects the surface from meteoroids and comets

Explanation:

Have a nice day

protects the surface from meteoroids and comets

A ball is kicked off of a roof at 23 m/s [R 25° U]. What is the height of
the building if it lands 2.8 s later?

Answers

Answer:

Explanation:

Considering the fact that we ave been given an angle of inclination here, we best use it! That means that the velocity of 23 m/s is actually NOT the velocity we need; I tell my students that it is a "blanket" velocity but is not accurate in either the x or the y dimension of parabolic motion. In order to find the actual velocity in the dimension in which we are working, which is the y-dimension, we use the formula:

[tex]v_{0y}=v_0sin\theta[/tex] and filling in:

[tex]v_{0y}=23sin(25)[/tex] which gives us an upwards velocity of 9.7 m/s. So here's what we have to work with in its entirety:

[tex]v_{0y}=9.7m/s[/tex]

a = -9.8 m/s/s

t = 2.8 seconds

Δx = ?? m

The one-dimensional motion equation that utilizes all of these variables is

Δx = [tex]v_0t+\frac{1}{2}at^2[/tex] and filling in:

Δx = [tex]9.7(2.8)+\frac{1}{2}(-9.8)(2.8)^2[/tex] I am going to do the math according to the correct rules of significant digits, so to the left of the + sign and to 2 sig fig, we have

Δx = 27 + [tex]\frac{1}{2}(-9.8)(2.8)^2[/tex] and then to the right of the + sign and to 2 significant digits we have

Δx = 27 - 38 so

Δx = -11 meters. Now, we all know that distance is not a negative value, but what this negative number tells us is that the ball fell 11 meters BELOW the point from which it was kicked, which is the same thing as being kicked from a building that is 11 meters high.

Marcel and Jose lifted 50 pounds as many times as they could. Marcel could lift the weight 25 times. Jose could lift the weight 30 times. Marcel and Jose can conclude that __________.
A.
Jose has better muscular endurance than Marcel
B.
Jose has better muscular strength than Marcel
C.
Marcel has better muscular strength than Jose
D.
Marcel has better muscular endurance than Jose

Answers

The answer is A.Jose has better muscular endurance than marcel

Answer:

A

Explanation:

The length of an aluminium rod is 1m and the speed of sound along the rod is 5000 m per second .Find the values of f1 ad f2

Answers

Answer:

i. 2.5 kHz ii. 5 kHz

Explanation:

The frequency of the wave in the rod is given by f = nv/2L where n = harmonic, v = speed of sound in rod = 5000 m/s and L = length of rod = 1 m

i. f1

For f1, n = 1

f1 = 1 × v/2L

= v/2L

Substituting the values of the variables into the equation, we have

= 5000 m/s ÷ (2 × 1 m)

= 5000 m/s ÷ 2 m

= 2500 /s

= 2500 Hz

= 2.5 kHz

ii. f2

For f2, n = 2

f2 = 2 × v/2L

= v/L

Substituting the values of the variables into the equation, we have

= 5000 m/s ÷ 1 m  

= 5000 /s

= 5000 Hz

= 5 kHz

A pendulum is moving 2.0 m/s at the bottom of its swing. How high vertically will it go before it begins to swing back? Group of answer choices 0.4 m 0.1 m 0.2 m 0.8 m 1.0 m

Answers

Answer:

h = 0.2 m

Explanation:

Given that,

A pendulum is moving 2.0 m/s at the bottom of its swing.

We need to find the height high it swing back. Let the height is h.

Using the conservation of energy such that,

[tex]\dfrac{1}{2}mv^2=mgh\\\\h=\dfrac{v^2}{2g}[/tex]

Put all the values,

[tex]h=\dfrac{(2)^2}{2\times 10}\\\\h=0.2\ m[/tex]

So, it will reach to a height of 0.2 m.

definition of net force

Answers

Answer:

Net force is the vector sum of forces acting on a particle or body. The net force is a single force that replaces the effect of the original forces on the particle's motion. It gives the particle the same acceleration as all those actual forces together as described by Newton's second law of motion.

Explanation:

use this, but put it into you own words.

Answer:

The vector sum of forces acting on a particle or body is referred to as net force. The net force is a single force that replaces the effect of the original forces on the motion of the particle. It provides the particle with the same acceleration as all of the actual forces combined, as described by Newton's second law of motion.

°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•

Hope it helps

Have a great day!!

A hockey player uses a hockey stick to hit a puck such that the stick provides an applied force on the puck The puck travels for distance of 0.85 m while experiencing the force from the stick
The puck leaves the stick with a speed of 8.0 m/s and travels at constant speed in a straight line along the horizontalice for a distance of 12 m. The frictional force between the puck and the ice
surface is negligible
Which of the following statements best describes the force or forces exerted on the puck after it is hit by the stick and slides on the ice?
(A) The applied force from the stick is still exerted on the puck during this time.
Since the puck's acceleration is zero, there are no forces exerted on the puck during this time.
Since there is no frictional force exerted on the puck, a normal force is not exerted on the puck, but the gravitational force is exerted on the puck
There is no frictional force exerted on the puck and the gravitational force and normal force are exerted on the puck and are equal in magnitude

Answers

Answer:

Explanation:

Let's analyze the situation presented in order to know which answer is correct.

When the stick collides with the puck, it exerts a force for a certain time and discants. / After this time the horizontal force decreases to zero and the disk continues to move by the action of the initial velocity on the x axis and the acceleration of gravity on the y axis.

Therefore, after the collision, the only force that acts on the disk is the gravitational attractive force (WEIGHT), directed on the axis and in a negative direction.

The correct answer is:

C)           Since there is no frictional force exerted on the puck, a normal force is not exerted on the puck, but the gravitational force is exerted on the puck

A student is building an electric circuit.Which material should she choose for the wires,and why?

Answers

If i understand your question clearly, The best choice in most scenarios is  copper.

Why?

Its due to copper's high conductive properties, its abundance, its low price compared to its fellow metal conductors, its ductile property, thermal resistance and immunity to oxidation ( rusting ).

Though Silver surpasses copper in conductivity, copper is shown to be more notable than its fellow conductors.

a ball of mass 0.2 kg is dropped from a height of 20m on impact to the ground it loses in 30 joule of energy calculate the height it reaches on rebound​

Answers

Answer:

5 m

Explanation:

We'll begin by calculating the original potential energy. This can be obtained as follow:

Mass (m) = 0.2 Kg

Height (h) = 20 m

Acceleration due to gravity (g) = 10 m/s²

Energy (E₀) =?

E₀ = mgh

E₀ = 0.2 × 10 × 20

E₀ = 40 J

Next, we shall determine the new energy of the ball.

Energy (E₀) = 40 J

Energy lost (Eₗ) = 30 J

New energy (E) =?

E = E₀ – Eₗ

E = 40 – 30

E = 10 J

Finally, we shall determine height of the ball on rebound. This can be obtained as follow:

New energy (E) = 10 J

Mass (m) = 0.2 Kg

Acceleration due to gravity (g) = 10 m/s²

Height (h) =?

E = mgh

10 = 0.2 × 10 × h

10 = 2 × h

Divide both side by 2

h= 10 / 2

h = 5 m

Thus, the height of the ball on rebound is 5 m

The table describes the properties of four compounds.



Which compounds are most likely ionic?

compounds A and B
compounds B and C
compounds C and D
compounds D and A

Answers

Answer:

Last option

Explanation:

uses of semiconductor​

Answers

Answer:

Many digital consumer products in everyday life such as mobile phones / smartphones, digital cameras, televisions, washing machines, refrigerators and LED bulbs also use semiconductors.

Una persona pesa 700 N al nivel del mar. ¿Cuándo sube a un avión a 10000 m de altura pesará más, igual o menos?

Answers

Answer:

La persona pesa menos

Explanation:

Generalmente, definimos el peso como la fuerza gravitacional que actúa sobre un objeto.

Dado que la constante gravitacional depende del cuadrado de la distancia medida desde el centro de la Tierra, podemos concluir que el peso de un objeto disminuye a medida que aumenta la distancia entre el objeto y el centro de la Tierra (mayor altitud).

Por lo tanto, la persona que pesa 700 N al nivel del mar pesará menos cuando esté en un avión a una altitud de 10,000 m.

Why does the output of a microphone increase as the frequency of the sound waves which it receives increases

Answers

Answer:

See Explanation

Explanation:

The frequency of sound waves received by the microphone influences the output or pitch of the sound obtained from the microphone.

The higher the frequency of the sound received by the microphone, the higher the output of the microphone and vice versa. This is because, the higher the frequency of sound, the higher the oscillations produced and the greater the output of the microphone.

The rise and fall in the pitch of sound waves as the frequency of sound waves varies is called inflection.

Answer:

b

Explanation:

cuz im smart

There are 8000 turns on the primary coil and 200 turns on the secondary coil of the transformer. The primary coil is connectd to a 240 v mains supply, suggest whether this transformer is a step up or step down transformer

Answers

Answer: Step down

Explanation:

Given

No of turns on the primary coil is [tex]N_p=8000[/tex]

No of turns on the secondary coil is [tex]N_s=200[/tex]

Primary is connected to the voltage [tex]V_p=240\ V[/tex]

According to the turns rule

[tex]\Rightarrow \dfrac{N_p}{N_s}=\dfrac{V_p}{V_s}\\\\\Rightarrow \dfrac{8000}{200}=\dfrac{240}{V_s}\\\\\Rightarrow V_s=\dfrac{240}{40}\\\\\Rightarrow V_s=6\ V[/tex]

As the voltage drops from 240 V to 6 V. Therefore it is a step-down transformer.

Which best describes the electric field created by a positive charge?

A. It circles clockwise around the charge.
B. It circles counterclockwise around the charge.
C. Its rays point away from the charge.
D. Its rays point toward the charge.

Answers

Answer:

Which best describes the electric field created by a positive charge? ... Its rays point toward the charge.

Explanation:

thank me later

Alexis is a scientist who is studying solid-state physics. Which activity would she most likely do as a part of this research? O identifying the optimal vessel for containing carbon dioxide O studying the atomic structure of solid carbon dioxide O determining the effect of pressure on the volume of carbon dioxide O observing the natural state of carbon dioxide​

Answers

Answer:

pretty sure its studying the atomic structure of a solid carbon dioxide. so c

Explanation:

Answer:

B. Studying the atomic structure of solid carbon dioxide

Explanation:

This is known as crystallography, the study of the arrangement of atoms in a solid, and it is a popular branch of solid-state physics.

Hope this helps :)

6.05 Infections and Health
Plese don't report me i am trying to get the assigment done
Introduction
Contaminated water is a health risk, and not all populations have access to clean water. You are going to use household items to design, test and revise a water filtration system. New technologies undergo testing and revision before they are released to the public. This lab will simulate how the scientific process is used to solve problems.

Purpose
The Purpose of your design is to filter dirt, sand and other sediment from “swamp” water. You do not need to make it drinkable during this design. You will begin with a water sample that has visible dirt, mud or other contaminants. You will design a way to filter the water and evaluate your design. You will not be able to test for microorganisms or to filter them out during this design process. Do not test the water by drinking it.

Important: Do NOT drink the water in your experiment.
Materials
“Swamp” water (You can get this from an outside source like a hole in the ground, puddle, lake, river or swamp. Or, you may add dirt and sediment to tap water.) The starting sample should have visible dirt or sediment.

You may use any household materials for your water filtration system. Here are some suggestions:

Cheesecloth
OId t-shirt
Coffee filters
Pantyhose
Cotton balls
Sock
Funnel
Water bottle









Data for Design One (6 points)
Describe the appearance and smell of the “swamp” water before and after filtration. Use complete sentences and detailed examples.
Skilled Scientist level from Rubric: Student gives thorough details about the appearance and smell of the water before and after the filtration for Design One and Design Two.



Water before filtration
Water after filtration
Description of appearance




Description of smell or other physical characteristics




Rate the visible cleanliness of the water on a scale of 1 to 10 with 10 being the cleanest.



Feedback ( 5 points)
Consulat a peer or a family member about ways your design could be improved. Describe the feedback and provide the name of the reviewer. These are only suggestions that you can use to plan for Design Two. Use complete sentences and detailed examples.
Skilled Scientist level from Rubric: Student thoroughly describes the feedback received from peer/family member, and it is clear a meaningful exchange about ways to improve the design took place.
List the name of peer/family member and relationship:






Describe the feedback given by your peer/family member. What changes do they suggest you make to your design in order to clean the water better?




Planning for DesignTwo (8 points)
Use this space to plan out how to improve your water filter. Based on the feedback you received, what part are you trying to improve? Why did you make the changes that you did? Use complete sentences and detailed examples. You may include sketches or diagrams.
Skilled Scientist level from Rubric: Student thoroughly explains the changes for the design and gives ample details about any improvements that were made.
List materials used:






Describe how Design Two will work:









What part of your design are you trying to improve?







Why did you make the changes you did?




Data for Design Two (6 points)
Use the data and feedback from your first design to make changes to your water filtration system. Test your new design. Record the appearance and smell of the “swamp” water before and after filtration. Use complete sentences and detailed examples.
Skilled Scientist level from Rubric: Student gives thorough details about the appearance and smell of the water before and after the filtration for Design One and Design Two.



Water before filtration
Water after filtration
Description of appearance




Description of smell or other physical characteristics




Rate the visible cleanliness of the water on a scale of 1 to 10 with 10 being the cleanest.






Conclusion (10 points)
Use your data from Design One and Design Two to answer the following questions. Use complete sentences and detailed examples.
Skilled Scientist level from Rubric: Student answers all questions using ample details and showing critical thinking skills to reflect on the design process.
Summarize the appearance and smell of the “swamp” water before and after the filtering process using Design One.




2. Describe the changes you made to your water filtration system.




3. What feedback helped you make changes to your water filtration system?




4. Summarize the appearance and smell of the “swamp” water before and after the filtering process using Design Two.




5. What did you learn about the process of planning, testing and revising a design?

Answers

The process of filtration of swamp water using a filtering material such as neat clothes will make the water clearer and remove any bad smell.

What is filtration?

Filtration is a separation technique used to separate insoluble solids from a liquid.

Filtration is employed in water purification.

Water purification is done in water purification plants.

A locally designed purification process for swamp water will involve using materials such as:

A T-shirt Funnel Water bottle

The T-shirt is used filter out mud and sediments.

Repeated filtrations will make the water clearer and remove any bad smell.

Learn more about filtration at: https://brainly.com/question/552187

Can someone please help with part c)

Answers

Energy released ,

[tex] = 3.789 \times {10}^{ - 12} [/tex] J

Why don't normal everyday collisions result in fusion?

Answers

Jahshsjajhajajahahahhhhhhh

Amelia is doing an experiment in which she is
going to burn various solid chemicals to see the
colors of flames they produce. For this laboratory
experiment, what types of safety precautions
should she take?
tie hair back
leave open flame unattended to get a drink
only burn the amount of chemicals as
directed by the lab procedure
put out the flame with water from the eyewash
station

Answers

Answer:

tie hair back

only burn the amount of chemicals as

directed by the lab procedure

Explanation:

The correct safety precautions for Amelia to take from the options would be to tie her hair back and to only burn the amount of chemicals recommended by the lab procedure.

With her hair left flowing freely, Amelia runs the risk of the hair catching flame while trying to burn the chemicals according to the procedure. Hence, tying her hair up into one neat bunch will limit the risk of it catching fire while working in the lab.

Also, burning less or more than the amount of chemicals recommended by the procedure may be dangerous or hinder Amelia from getting the right result.

Answer:

1,3

Explanation:

just did it

what is the name of part of the iss which provides it with electricity

Answers

They use solar panels which turn solar cells into electricity

The diagram represents Earth in its orbit around the Sun and the Moon (M) in different positions in its orbit around Earth. Letters A through D represent four positions of Earth in its orbit. Earth is closest to the Sun near position D and farthest from the Sun near position B. Identify the lettered position of Earth and the Moon when this full moon phase can be observed, and state the name of the eclipse that could occur at this position.

Answers

Answer:

Option (D), lunar eclipse

Explanation:

When the moon comes between the earth and sun, the lunar eclipse occurs, so D is the lunar eclipse. It is full moon day.

C is the position when there is new moon day and it is solar eclipse.

So, option (D) is correct.


A car has a kinetic energy of 103kJ.
The speed of the car is 13.1 m/s.
Calculate the mass of the car.
Give your answer to 2 significant figures.

Answers

Answer: 1200kg

Explanation:

KE = (1/2)mv^2

103kJ = 103000J

103000J = (1/2) * m * (13.1m/s)^2

Solve for m

A car has a kinetic energy of 103kJ, and the speed of the car is 13.1 m/s,then the mass of the car would have been 1200 kilograms.

What is mechanical energy?

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.

A car has a kinetic energy of 103 kJ. The speed of the car is 13.1 m/s,

The kinetic energy of the car = 1/2 × mass × velocity

                                     103000 =0.5 × mass × (13.1) ²

The mass of the car = 1200 Kilogram

Thus, if a car has a kinetic energy of 103kJ, and the speed of the car is 13.1 m/s,then the mass of the car would have been 1200 kilograms.

To learn more about mechanical energy, refer to the link;

https://brainly.com/question/2409175

#SPJ5

What are the three types of levers? Give examples of each?

Answers

Class 1 has the fulcrum placed between the effort and load. Class 2 has the load between the effort and the fulcrum. Class 3 has the effort between the load and the fulcrum.

...

Examples

Tweezers.

Stapler.

Mousetrap.

Broom.

Hockey stick.

Other Questions
will give correct answer brainliest Where are the neutrons located in the atom? O In the nucleus O Around the nucleus Synovial joints have the greatest range of flexibility and motion.Please select the best answer from the choices provided.TF (2104ft)(1 yd/3 ft)(1 football field/100 yds Explain/justify which type of Imperialism you think was most beneficial for Europeans, and which one was most beneficial/least harmful for African countries. Bella's research question is "What habitats do blue whales thrive in, and which locations are not ideal for the various behaviors they tend to exhibit?" She is having trouble writing a short presentation about what she has found. How should she revise her research question? GRADE 10 MATH QUESTIONThe city is trying to open a road that connects a cabin in the woods to a roadside. The roadside connects 2 parks. The cabin site is located at (8,6) on the map and the parks are at point A (-2,10) and point B (5,-4). Find the route that minimizes the cost and the number of trees that have to be cut down (Hint: Find the shortest distance between the cabin and the roadside) What is the relationship between the values tand s plotted on the number linebelow?SA. t= sB. t>sO c. tcs What is the sum of the fraction below? 1/7+3/8 Sort them into the North or the South(question is in the picture)(I will award brainliest, please help, and if you can, tysm!!) Given line t passes through (0,-5) and (-1,3) and liner passes through (-4,3) and (4,2).Are the lines parallel, perpendicular or neither? Show all work to justify yourresponse. What is the boundary of southwestern part of the Untied States..... A. Canada B. MexicoC. Pacific OceanD. Rio Grande River Here are the population figures of five different cities. 371,265 635,155 226,710 468,920 724,435 What is the difference between the largest population and the smallest population? PLEASE HELP!!! URGENTTT!!! ILL GIVE BRAINLIEST!!!Drama - Missing Dan Nolan11) Name the 3 friends Dan Nolan was out with the night he disappeared. The answer choices are spelling rules about what to do before adding suffixes to a base word that ends in e. Identify the rule that would be applied to the word below.peace + -ableIf the suffix starts with a consonant, keep the e and add the suffix.If the suffix starts with a vowel, drop the e and add the suffix.If a base word ends in double e, do not drop the final e, but never write three e's in a row.Keep the final e only if it lets g or c make their soft sounds.This word is an exception to the rule. Does this sentance make sense?Women are also referred to as not be as good at sports. Consider a process that includes careful testing of each manufactured defibrillator. Listed ( below are the numbers of defective defibrillators in 20 successive batches of 10,000. Find the values you would use for the centerline, the upper control limit, and the lower control limit. 20 14 22 27 12 12 18 23 25 19 24 28 21 25 17 19 17 22 15 20 a. p = 0.040000 UCL 0.041 039, LCL = 0.03 8961 b. p 0.002000 UCL= 0.003340, LCL= 0.000660 c. p=0.0020000 UCL = 0, 021200, LCL = 0 d. p 0.040000 UCL = 0.041470, LCL = 0.038530 Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they scored 9 goals. Could Sadie have scored 4 goals? Why or why not? Unscribbled wordTry to do these and prove that you are a geiunse 1. oewrlfsnu __________2. ustol ___________3. doliarmg __________4. iyll _________5. Biissuch ___________Hint: It is like a Nature element And something we keep it for a fragrance Calculate the net force if the forces are parallel 4N 4N