MULTIPLE CHOICE QUESTION
If the force produced by the engine is
3400 N to the right and the force caused
by friction is 400 N to the left, what is
the NET FORCE on the car?
3,000 N to the right
800 N
3. ON
e
3,000 N to the left

Answers

Answer 1

Answer:

e

Explanation:

3,000 to the left

cause 3,400 minus 400


Related Questions

A 83.5-kg boy and a 63.6-kg girl, both wearing skates face each other at rest on a skating rink. The boy pushes the girl, sending her to the left with a velocity of -3.11 m/S. A
Neglecting friction, determine the subsequent velocity of the boy to the right.
Answer: +____m/s

Answers

Answer:

i.e. velocity of boy is 2.82 m/s towards west

Explanation:

Given

mass of boy m_b=70.9\ kgm

b

=70.9 kg

mass of girl m_g=43.2\ kgm

g

=43.2 kg

speed of girl after push v_g=4.64\ m/sv

g

=4.64 m/s

Suppose speed of boy after push is v_bv

b

initially momentum of system is zero so final momentum is also zero because momentum is conserved

P_i=P=fP

i

=P=f

0=m_b\cdot v_b+m_g\cdot v_g0=m

b

⋅v

b

+m

g

⋅v

g

v_b=-\frac{m_g}{m_b}\times v_gv

b

=−

m

b

m

g

×v

g

v_b=-\frac{43.2}{70.9}\times 4.64v

b

=−

70.9

43.2

×4.64

v_b=-2.82\ m/sv

b

=−2.82 m/s

i.e. velocity of boy is 2.82 m/s towards west

What is the name of the force that opposes, or the opposite of gravity ???!!

Answers

Answer:

Tension.

tension is the name of force that opposes or goes opposite of gravity

Hope this helps!

Answer: Friction

Explanation: Friction opposes gravity and any motion in two surfaces.

Hope This Helped, Have A Great Day!

compared to earth, the moon lacks a hydrosphere, atmosphere, and a magnetosphere. true or false

Answers

True

Compared to Earth, the Moon lacks a hydrosphere (a system of water on its surface, including oceans, lakes, and rivers), an atmosphere and a magnetosphere (a region of space influenced by a planet's magnetic field).

The Moon's surface is dry and lacks significant amounts of water, it has an extremely thin or negligible atmosphere, and it has no substantial magnetic field to create a magnetosphere.

Here's a more detailed explanation:

Hydrosphere: The hydrosphere refers to the presence of water in liquid form on a planetary body. Earth has a significant hydrosphere, with about 71% of its surface covered by water in the form of oceans, seas, lakes, and rivers.

In contrast, the Moon lacks a substantial hydrosphere. While there is evidence of water ice in permanently shadowed regions near the Moon's poles, it is in the form of solid ice rather than liquid water.

Atmosphere: Earth has a dense atmosphere composed primarily of nitrogen (about 78%) and oxygen (about 21%), along with other trace gases. The atmosphere plays a crucial role in regulating temperature, supporting life, and protecting the planet from harmful radiation.

In contrast, the Moon has an extremely thin and tenuous atmosphere, often referred to as an exosphere. It consists of extremely low-density particles, such as atoms and ions, and is practically nonexistent compared to Earth's atmosphere.

Magnetosphere: Earth has a magnetic field generated by its liquid iron outer core. This magnetic field extends into space and creates a region around the planet known as the magnetosphere.

The magnetosphere protects Earth from the solar wind, a stream of charged particles emitted by the Sun. The Moon, however, lacks a significant magnetic field.

It does not have a liquid iron core like Earth, and thus, it does not generate a magnetosphere. As a result, the Moon is directly exposed to the solar wind and its associated radiation.

The absence of a hydrosphere, atmosphere, and magnetosphere on the Moon significantly influences its surface conditions and overall environment.

These factors contribute to the Moon's starkly different appearance and characteristics compared to Earth.

To know more about magnetosphere refer here

brainly.com/question/9971956#

#SPJ11

integrated science please help​

integrated science please help

Answers

Answer:

As we all knows that Matter is everything that occupies in space.

(A) There are three major types of Matter;

SolidGasLiquid

(B) (I) If John took five ice cubes from the freezer and place them into a cup after 5 minutes, he returned and saw water this process is called melting.

(ii) if he put the same cup into the freezer and turned into ice in 5 minutes this

process is called freezing.

(iii) if John places the ice from the cup into a pot on a lit stove for 2 minutes and leaves, and he returned and find the pot empty this process is called evaporation.

lightnig can be described by which statement

Answers

Answer:

Lightning can be described by the flow of electric charges between the cloud and the ground.

What is your centripetal acceleration when you run at 11 m/s around the curve of an Olympic track, which has a radius of 36.5 m? answer choices 0.30 m/s2 1.2 m/s2 3.3 m/s2 2.4 m/s2

Answers

The centripetal acceleration of the Olympic track with a radius of 36,5 m where a person runs at a speed of 11 m/s  is 3.315 m/s²

The velocity = 11 m/s

The radius of the track = 36.5 m

The centripetal acceleration can be found using the formula,

            a = v²/r

where a is the centripetal acceleration

           v is the centripetal velocity

           r is the radius of the Olympic track

Let us substitute the known values in the above equation, we get

             a = 11²/36.5

                = 121 / 36.5

                = 3.315

Therefore, the centripetal acceleration is 3.315 m/s²

Learn more about the centripetal acceleration in

https://brainly.com/question/14465119

#SPJ4

Why Does Elasticity Matter?
Often, a lot of what is covered in courses has little application in the so-called "real world". In this discussion board, you need to post an entry to the discussion board stating why elasticity actually does matter in the everyday lives of businesses and consumers, using an example of a good or service as part of your explanation.
Part I
Using an example of a good or service, you will state why elasticity is applicable in the everyday lives of businesses and consumers. Please be clear in your explanation

Answers

Elasticity is of significant importance in the everyday lives of businesses and consumers as it helps them understand and respond to changes in prices and demand for goods or services. By considering elasticity, businesses can make informed decisions regarding pricing strategies, production levels, and resource allocation. Consumers, on the other hand, can assess the impact of price changes on their purchasing decisions and adjust their consumption patterns accordingly.

Elasticity, specifically price elasticity of demand, measures the responsiveness of consumer demand to changes in price. It indicates the percentage change in quantity demanded resulting from a one percent change in price. Understanding price elasticity allows businesses to determine how sensitive consumers are to changes in price and adjust their pricing strategies accordingly.

For example, let's consider the market for gasoline. Gasoline is a highly price-sensitive good, meaning that changes in its price have a significant impact on consumer demand. If the price of gasoline increases, consumers may reduce their consumption and seek alternatives such as carpooling or using public transportation. In this scenario, businesses need to consider the price elasticity of gasoline to predict and respond to changes in consumer behavior. They might lower prices to stimulate demand or introduce more fuel-efficient options to cater to price-conscious consumers.

In conclusion, elasticity matters because it provides valuable insights into the dynamics of supply and demand, enabling businesses and consumers to make informed decisions in response to price changes. By understanding elasticity, businesses can adapt their strategies to maintain competitiveness, while consumers can optimize their purchasing choices based on price sensitivity.

To know more about Elasticity click here:

https://brainly.com/question/30999432

#SPJ11

what impacts the amount of potential energy?
Group of answer choices

Velocity (speed) of the object.

Mass and height of the object.

Only the mass of the object.

Only the height of the object.

Answers

Answer:

velocity shsjshsuud7dudhdudbe

Which best explains why a firework being ignited is an example of an exothermic reaction and not an endothermic reaction?

Answers

Answer:

The fireworks give off heat.

Explanation:

If a 5 n force is pushing upward on an object what force would need to be applied to create a net force of zero?

Answers

Answer:

the foce aplied to make the net force be 0 is 5n force pushing downward on the object becasue it will cancel it out

Explanation:

Which acid is naturally found in foods and can be safe to eat? sulfuric acid citric acid hydrochloric acid nitric acid

Answers

Answer:

\(\Huge \boxed{\mathrm{citric \ acid}}\)

Explanation:

Citric acid is naturally found in foods and can be safe to eat.

Citric acid is present in oranges, lemons, and other types of citrus fruits that we can eat.

The acid that is naturally found in foods and can be safe to eat would be citric acid, therefore the correct answer is option B .

What is a Chemical compound?

A chemical compound is a combination of two or more either similar or dissimilar chemical elements.

For example, H₂O is a chemical compound made up of two oxygen atoms and a single hydrogen atom.

As given in the problem statement we have to find out the acid from the given list of options that are naturally found in foods and can be safe to eat.

The sulphuric acid found in batteries, therefore, is not safe to eat, while the citric acid found in different fruits can be safe to eat.

The correct response is option B since citric acid is a naturally occurring acid that may be consumed without harm.

Learn more about a chemical compound here, refer to the link given below ;

brainly.com/question/12166462

#SPJ6

power is function of time . give reason ​

Answers

Reason: The quantity work has to do with a force causing a displacement. Work has nothing to do with the amount of time that this force acts to cause the displacement. Sometimes, the work is done very quickly and other times the work is done rather slowly. For example, a rock climber takes an abnormally long time to elevate her body up a few meters along the side of a cliff. On the other hand, a trail hiker (who selects the easier path up the mountain) might elevate her body a few meters in a short amount of time. The two people might do the same amount of work, yet the hiker does the work in considerably less time than the rock climber. The quantity that has to do with the rate at which a certain amount of work is done is known as the power. The hiker has a greater power rating than the rock climber.

Power is the rate at which work is done. It is the work/time ratio. Mathematically, it is computed using the following equation.

Power = Work / time

or  

P = W / t

PLEASE HELP ASAP PHYSICS QUESTION,, BRAINLIEST (image included for context)

what is the magnitude and direction of the force that is acting on the crate once it hits the flat part at the bottom of the ramp?

PLEASE HELP ASAP PHYSICS QUESTION,, BRAINLIEST (image included for context) what is the magnitude and

Answers

Answer:

I answered this question in the comments.

Explanation:

Please stop spamming the website.

Carbon dioxide undergoes a phase change called sublimation, how does a single molecule of carbon dioxide change as a result of this process in terms of its energy and physical characteristics? a. There is a physical change from a gas to a liquid; energy is released into the environment reducing the molecular movement. b. There is a physical change from the solid state to a gas state where energy between the molecules increases. c. There is a chemical change between the carbona nd oxygen resulting int he formation of oxygen gas which has more energy d. There is a chemical change as the carbon dioxide is transferred from a liquid to a solid reducing the amount of energy

Answers

The correct answer is(b). There is a physical change from the solid state to a gas state where energy between the molecules increases.

What is the process of sublimation in carbon dioxide?

During sublimation, carbon dioxide transitions directly from the solid state (dry ice) to the gas state without passing through the liquid phase. In this process, individual molecules of carbon dioxide gain energy from the surroundings, leading to an increase in their kinetic energy and molecular movement.

As a result, the carbon dioxide molecules separate from each other and form a gas. This phase change is considered a physical change rather than a chemical change since the chemical composition of carbon dioxide remains the same throughout the process.

Therefore, the sublimation of carbon dioxide results in a physical change where the molecules transition from the solid state to the gas state, gaining energy and increasing their molecular movement.

Learn more about  sublimation

brainly.com/question/15057312

#SPJ11

Which of the following objects
would have the greatest
gravitational force?
A A table
B The moon
C The Earth
D The sun

Answers

I think it is the sun

A 2-kg ball is thrown at 3 m/s. What is the ball's momentum? *

Answers

Answer:

Given

mass (m) =2kg

velocity (v) =3m/s

momentum (p) =?

Form

p=mv

2kgx3m/s

p=6kg.m/s

the momentum of ball's =6kg.m/s

The momentum of a ball having a mass of 2 kg and velocity of 3 m/s is  6 kgm/s.

What is momentum?

The product of a particle's mass and velocity is momentum. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force acting on the particle equals the time rate of change of momentum.

According to Newton's second law, if a particle is subjected to a constant force for a specific amount of time, the result of the force and time (referred to as the impulse) is equal to the change in momentum. On the other hand, a particle's momentum represents the length of time needed for a consistent force to bring it to rest.

Given:

The mass of the ball, m = 2 kg,

The velocity of the ball, v = 3 m/s,

Calculate the momentum by using the formula given below,

p = m × v

Here, p is the momentum.

Substitute the values,

p = 2 × 3

p = 6 kgm/s

Therefore, the momentum of a ball having a mass of 2 kg and velocity of 3 m/s is 6 kgm/s.

To know more about momentum:

https://brainly.com/question/904448

#SPJ6

the mass of a hoop of radius 1.0 m is 6.0 kg. it rolls across a horizontal surface with a speed of 10.0 m/s. (a) how much work is required to stop the hoop? (b) if the hoop starts up a surface at to the horizontal with a speed of 10.0 m/s, how far along the incline will it travel before stopping and rolling back down?

Answers

(A) 300 J of labour are needed to stop the hoop. The hoop has a kinetic energy of \((1/2)mv2 = 300 J.\)  (B) The hoop will roll up the slope for 2.55 m before coming to a stop and rolling back down.

(A) The hoop has a kinetic energy of\((1/2)mv2 = 300 J\). The needed labour is also 300 J since an equivalent amount of work must be done to stop the hoop.

(b) When the hoop ascends the slope, its initial kinetic energy is transformed into potential energy. All of the kinetic energy has been transformed into potential energy at the highest point, making the potential energy there also 300 J. m represents the hoop's mass, and h is the height attained, therefore mgh = 300 J. We arrive at h = 3.06 m after solving for h. The distance climbed up the incline is then calculated using the formula \(d = h/sin(),\)  where is the incline's angle. With the values substituted, we obtain d = 2.55 m.

Learn more about kinetic energy here:

https://brainly.com/question/26472013

#SPJ4

Someone help me pls I will give brainlist

Someone help me pls I will give brainlist

Answers

Answer:

the answer is point no. a °C , c. K and d. °F

Answer:

C and F

Explanation:

Because that’s how weather people measure tempature

(Brainliest?)

boneless pizza boneless pizzaboneless pizza boneless pizzaboneless pizza boneless pizza

Answers

Answer:

pizza dont got no bone in it

Explanation:

Answer:

Pizza have no bones

Explanation:

Because it would be yucky

An astronaut weighs 160 Newtons on the surface of of the moon where the acceleration due to gravity is 1.6 m/s/s. What is his weight on EARTH, where the acceleration due to gravity is 10 m/s/s? Include units in your answer. *

Answers

Answer:

The weight of an object with mass M, in a place with gravitational acceleration G, is:

W = M*G

We know that in the moon, with G = 1.6 m/s^2, the weight is 160N

Then we have the equation:

160N = (1.6 m/s^2)*M

With this, we can find the mass of the astronaut.

(160N)/(1.6 m/s^2) = M = 100kg.

Then in the Earth, where the acceleration is G = 10 m/s^2, the weight will be:

W = (10m/s^2)*100kg = 1000 N

Question 11
The emergency plan at a nuclear electric power plant must include a means for notification of the public living within of the plant within a 15-minute period.
a. 1 mile
b. 5 miles
c. 10 miles
d. 12 miles

Answers

The emergency plan at a nuclear electric power plant must include a means for notification of the public living within of the plant within a 15-minute (c). 10 miles is correct option.

The emergency plan at a nuclear power station in the United States must contain measures for notifying the public living within a 10-mile radius of the plant within a 15-minute window in case of an emergency, under Nuclear Regulatory Commission (NRC) standards for emergency preparedness at nuclear power facilities in the country.

This criterion was put in place to guarantee that, in the event of an issue or accident at a nuclear power station, local residents would be promptly informed and might take the necessary precautions to protect themselves. To reach residents within the specified radius, the emergency notification system often uses broadcast messages, sirens, and other forms of communication.

Therefore, the correct option is (c).

To know more about emergency

https://brainly.com/question/1032569

#SPJ4

6. A suitcase weighing 120 N sits on a counter 1.8 m high
in the airport. How much gravitational potential
energy does it have?

Answers

Answer:

216 J

Explanation:

h = 1.8

a = 9.8

m = 12.2

GPE = HAM = 216

The gravitational potential energy of a suitcase weighing 120 N sits on a counter 1.8 m high in the airport is 216 Joules.

What is Gravitational Potential Energy?

Gravitational potential energy is the energy which is present inside the body of an object which is at rest. This energy is transformed into kinetic energy as soon as the object changes its state of rest to motion.

The gravitational potential energy of an object can be calculated through the formula:

GPE = m × g × h

where, GPE = Gravitational Potential Energy,

m = mass of the object,

h = height covered by the object

w = m × g

where, w = weight of the object

So, the gravitational potential energy of the object is:

GPE = 120 × 1.8

GPE = 216 Joules

Therefore, the gravitational potential energy of the suitcase is 216 Joules.

Learn more about Potential energy here:

https://brainly.com/question/12807194

#SPJ5

Please help I'll mark brainliest NO LINKS

Please help I'll mark brainliest NO LINKS

Answers

Answer:C

Explanation:

For parallel connection

1/R=1/R1+1/R2+1/R31/R=1/12+1/6+1/41/R=1+2+3/121/R=1/2R=2ohm

For series connection

Net resistance

R=2+3=5ohm

The mass of the train is 450000 kg.
Calculate the maximum possible speed of the train at the end of the first 4.0km of the
journey.

Answers

The maximum possible speed of the train at the end of the first 4.0 km of the journey is 0 m/s.

To calculate the maximum possible speed of the train at the end of the first 4.0 km of the journey, we can apply the principle of conservation of energy.

Assuming there are no external forces like friction or air resistance, the initial potential energy of the train will be converted into kinetic energy.

The potential energy (PE) of the train at the beginning of the journey can be calculated as PE = mgh, where m is the mass of the train, g is the acceleration due to gravity (approximately \(9.8 m/s^2\)), and h is the height difference (in this case, we assume it to be zero).

The kinetic energy (KE) of the train at the end of the 4.0 km journey can be calculated as \(KE = (1/2)mv^2\), where v is the velocity of the train.

Since the potential energy is converted into kinetic energy, we can equate the two expressions:

PE = KE

\(mgh = (1/2)mv^2\)

Simplifying and canceling out the mass:

\(gh = (1/2)v^2\)

Substituting the values, \(g = 9.8 m/s^2\)and h = 0, we get:

\((9.8 m/s^2)(0) = (1/2)v^2\)

Simplifying further:

\(0 = (1/2)v^2\)

This equation tells us that the maximum possible speed of the train at the end of the first 4.0 km of the journey is 0 m/s.

For more questions on speed

https://brainly.com/question/26046491

#SPJ8

what cultular value does this melodic line portray?
a.jubilant
b.reserved
c.rich
d.poor​

Answers

What cultular value does this melodic line portray?

answer : reserved...


Find the current is in the circuit? ​

Find the current is in the circuit?

Answers

Answer:

i = 1.2 [amp].

Explanation:

In order to find the current in the circuit, we must perform a sum of voltages equal to zero, around the mesh.

∑V = 0

Let's take the direction of the current as shown in the drawing Clockwise.

\(-3+(i*2)+(i*1)+(i*2)+9=0\\6+(5*i)=0\\5*i = - 6\\i = - 1.2[amp]\)

Note: The negative sign means that the current moves in a counterclockwise direction.

A driver of a car traveling at -15m/s applies the brakes, causing a uniform acceleration of +2.0m/s2. If the brakes are applied for 2.5s, what is the velocity of the car at the end of the braking period? How far has the car moved during the braking period?

Answers

Given :

Initial velocity, u = -15 m/s.

Acceleration , a = 2 m/s².

Time taken to applied brake, t = 2.5 s.

To Find :

The velocity of the car at the end of the braking period.

How far has the car moved during the braking period.

Solution :

By equation :

\(v = u+at\\\\v=-15 + 2\times 2.5\\\\v=-10 \ m/s\)

Now, distance covered by car is :

\(s=ut+\dfrac{at^2}{2}\\\\s=(-15)(2.5)+\dfrac{2(2.5)^2}{2}\\\\s=-31.25\ m\)

Hence, this is the required solution.

What is a radioisotope

Answers

Answer:

An unstable form of a chemical element that releases radiation as it breaks down and becomes more stable.

If a sled has a mass of 4kg what is the force of gravity on the sled?

Answers

Answer:

Explanation:

Gravity pulls everything down at the same rate of 9.8 m/s/s. If you're looking for the normal force, which is the same as the weight of the object, we'll find that, just in case.

w = mg which says that the normal force/weight of an object is equal to its mass times the pull of gravity:

w = 4.0(9.8) so

w = 39N

A turbine fan in jet engine has a moment of inertia of 2.5 kg'm12 about its axis of rotation. As the turbine starts up, it angular velocity is given by w,2 = (40 rad/s 3)t*2. (a) Find the fan's angular momentum as a function of time, and find its value at t- 3.0s. (b) Find the net torque on the fan as a function of time, and find its value at t= 3.0s.

Answers

a. Therefore, the angular momentum of the fan at t = 3.0 s is 900 kg \(m^2/s.\)

b. Therefore, the net torque on the fan at t = 3.0 s is 600 kg \(m^2/s^2.\)

(a) The angular momentum (L) of the fan is given by:

L = Iω

I = moment of inertia and ω is the angular velocity.

Substituting the given values, we get:

L = \((2.5 kg m^2)(40 rad/s^3t^2) = 100t^2 kg m^2/s\)

The angular momentum at t = 3.0 s, we simply substitute t = 3.0 s into the equation:

L = \(100(3.0 s)^2 kg m^2/s = 900 kg m^2/s\)

(b) The net torque (τ) on the fan is given by:

τ = Iα

α is the angular acceleration.

Taking the derivative of the angular velocity with respect to time, we get:

α = dω/dt = 80 rad/s^3t

Substituting the given values, we get:

τ = \((2.5 kg m^2)(80 rad/s^3t) = 200t kg m^2/s^2\)

To find the net torque at t = 3.0 s, we simply substitute t = 3.0 s into the equation:

τ = \(200(3.0 s) kg m^2/s^2 = 600 kg m^2/s^2\)

Learn more about momentum visit: brainly.com/question/18798405

#SPJ4

Other Questions
if an industry is dominated by a few large and powerful firms, the concentration ratio will have a _____ value. how many mols of hg3(po4)2 would be created by mixing 143.8 g of hg(OH) with excess H3PO4? 10x - 20 = 4x - 2How would I do this step by step? Hello is this saying the word need to have SER in it Find the range for the set of data: 22, 25, 25, 27, 32 Accounts payable are: Multiple Choice Amounts owed to suppliers for products or services purchased on credit. Amounts received in advance from customers for future services. taxpayer is a businessman, local politician who is also an officer-director of a savings and loan association of which he was a founder. when, partially due to his mismanagement, the savings and loan began to go under, the voluntarily donated nearly one half a million dollars to help bail it out. Use the method of separation variable to solve Pde2xdz/dx-3ydz/Dy=0 Let me define a mapping T:P2(R) M2x2(R) such that a + b + c T(ax +bx+c) = la fb ] -b = a. Find T(v) for the polynomial y(x) = 17 - 3x + 5x2. = b. Is this mapping a linear transformation? Justify your answer. c. Describe the kernel of this mapping. (15 points) What is the difference between anerobic and aerobic exercise. Give an example for each. Passed loved ones or love? Umatilla Bank and Trust is considering giving Pohl Company a loan. Before doing so, it decides that further discussions with Pohls accountant may be desirable. One area of particular concern is the Inventory account, which has a year-end balance of $275,000. Discussions with the accountant reveal the following.1. Pohl Company sold goods costing $55,000 to Hemlock Company FOB shipping point on December 28. The goods are not expected to reach Hemlock until January 12. The goods were not included in the physical inventory because they were not in the warehouse.2. The physical count of the inventory did not include goods costing $95,000 that were shipped to Pohl Company FOB destination on December 27 and were still in transit at year-end.3. Pohl Company received goods costing $25,000 on January 2. The goods were shipped FOB shipping point on December 26 by Yanice Co. The goods were not included in the physical count.4. Pohl Company sold goods costing $51,000 to Ehler of Canada FOB destination on December 30. The goods were received in Canada on January 8. They were not included in Pohl Company physical inventory.5. Pohl Company received goods costing $42,000 on January 2 that were shipped FOB destination on December 29. The shipment was a rush order that was supposed to arrive December 31. This purchase was included in the ending inventory of $275,000.Required:Determine the correct inventory amount on December 31. Two identical circular bars of diameter d form a truss ABC which has a load P=35kN applied at the joint C. (a) If the allowable tensile stress in the bar material is 10%MPa and the allowable shear stress is 50MPa, find the minimum required diameter of the bars. (b) Due to limited availability of stock of sufficient length, it is proposed to make each bar by joining two shorter segments. Along the joint, the allowable tensile stress is 50MPa and the allowable shear stress is 25MPa. Using the bar diameter obtained in part (a), determine the smallest joint angle for which the structure can carry the design load, P=35 kN. Which plot on this graph has the coordinates of 1,3 calculate the missing quantities in the table Write the linear equation that gives the rule for this table. What is the measure of the third angle in a triangle if the sum of the other two angle measures is 110? How do fossils help geologists learn about the geological history of an area? compute the gradient of f and then find the directional derivative f at p0 in the direction of p1 where we start at p0 1. f(x, y, z) = p x 2 y 2 z 2, p0 = (1, 3, 2) and p1 = (3, 3, 2) regardless of the size of the house, at least one _____ door should be provided.