Find the resultant of an easterly force of 100 N and a southeast force of 80 N acting at 65 degrees to the 100 N force

Answers

Answer 1

Answer:

Resultant is 152 N at 28.5 degrees south to the 100 N force

Explanation:


Related Questions

Two fish swimming in a river have the following equations of motion:

X 1 = - 6.4 m + (- 1.2 m/s) t

X 2 = 1.3 m + (- 2.7 m/s) t

Which fish is moving faster? ​

Answers

Answer:

The second fish, X2, is moving faster than the first fish, X1

Explanation:

The given parameters for the equation of motion of the fishes are;

X1 = -6.4 m + (-1.2 m/s)×t

X2 = 1.3 m + (-2.7 m/s)×t

The given equation are straight line equations in the slope and intercept form, where the slope is the speed and in m/s and the intercept is the starting point of swimming of the fishes

For the first fish, the intercept = -6.4 m, the slope = the  speed = -1.2 m/s

For the second fish, the intercept = 1.3 m, the slope = the  speed = -2.7 m/s

Whereby the fishes are swimming in the opposite direction of the measurement of length, we have;

The magnitude of the speed of the second fish [tex]\left | -2.7 \ m/s \right | = 2.7 \ m/s[/tex], is larger than the magnitude of the speed of the first fish [tex]\left | -1.2 \ m/s \right | = 1.2 \ m/s[/tex]

Therefore, the second fish, X2, is moving faster than the first fish, X1.

What are the SI units for distance and time?

Answers

Answer:

distance is meters, time is seconds

Answer:

distance is meters(m)

time is seconds (s)

Explanation:


Find the 7th term of the geometric sequence
1/8, 1/2, 2, ...

Answers

Answer:

512

Explanation:

Given sequence:

        1/8, 1/2, 2, ...

Unknown:

The 7th term of the geometric sequence  = ?

Solution:

To solve this problem, we apply the formula below;

       Sₙ   = arⁿ⁻¹

a is the first term

r is the common ratio

n is the nth term

  r  = [tex]\frac{\frac{1}{2} }{\frac{1}{8} }[/tex]    = [tex]\frac{1}{2} x 8[/tex]   = 4

Input the parameters and solve;

      Sₙ  = [tex]\frac{1}{8}[/tex] x 4⁷⁻¹

     Sₙ   = [tex]\frac{1}{8}[/tex] x 4⁶  = 512

What distance is required for a train to stop if its initial velocity is 23 m/s and its
deceleration is 0.25 m/s²? (Assume the train decelerates at a constant rate.)

Answers

-- The train starts at 23 m/s and slows down by 0.25 m/s every second.

So it'll take (23/0.25) = 92 seconds to stop.

-- Its average speed during that time will be (1/2)(23+0) = 11.5 m/s

-- Moving at an average speed of 11.5 m/s for 92 sec, the train will cover

(11.5 m/s) x (92 sec)  =  1,058 meters .

The distance required for the train to travel before stopping is 1,058 m.

The given parameters;

initial velocity of the train, u = 23 m/s

deceleration of the train, a = 0.25 m/s

The distance traveled by the train is calculated as follows;

[tex]v^2 = u^2 -2as[/tex]

where;

v is the final velocity of the train

The final velocity of the train is zero when the train stops

[tex]v^2 = u^2 -2as\\\\0 = 23^2 - 2(0.25)s\\\\0.5s = 529\\\\s = \frac{529}{0.5} \\\\s = 1,058 \ m[/tex]

Thus, the distance required for the train to travel before stopping is 1,058 m.

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explain the relationship between physics and biology​

Answers

Answer:

Biology is the study of living organisms. Physics is the study of matter and the laws of nature to understand the behavior of matter and the universe.

The answer above is correct my dude

m1=200g m2=150g
find the acceleration
the track is horizontal and frictionless

Answers

Answer:

50 or 1.3333

Explanation: Explanation you cancel out the mass and the force to see what your acceleration would be or you could divide F by M

How long would it take Jesse with an acceleration of -2.50 m/s2 to bring his bicycle with an initial velocity of 13.5 m/s to a complete stop?

Answers

Answer: 5.4 seconds

Explanation:

The time taken to stop the bicycle is 5.4 seconds. The final velocity is zero. Then, the distance travelled by the bicycle is 36.45 m.

What is acceleration ?

Acceleration is a physical quantity that, measures the rate of change in velocity. It is a vector quantity thus having both magnitude and direction. It can be defines as the ratio of change in velocity to the change in time.

Given initial velocity = 13.5 m/s

final velocity is zero since the bicycle is stopping.

then Δt = Δv/a

Δt = 13.5 m/s/ 2.50 m/s² = 5.4 seconds.

Hence, the bicycle will take 5.4 s to complete stop.

The distance covered within this time can be determined using the equation as follows:

s = ut + 1/2 at²

where u is the initial velocity

s =  (13 m/s × 5.4 s) + (-2.50 m/s² ×5.4 s ×5.4 s) = 36.4 m.

Therefore, the bicycle will travel up to 36.4 m before stopping.

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What does gravity do to objects as they:

a) are thrown up:

b) fall toward earth:

Answers

Answer:

B

Explanation:

Gravity is when objects are pulled down to earth

You walk east for 30 m, then decide to walk north foranother 30 m. What is the angle of direction of your displacement?​

Answers

Answer:

Displacement is 42.426 m NE and the angle is opposite/adjacent or 30/30 which would equal 1 degree which doesn't seem right but hopefully its an answer.

Explanation:

5)
(64(6-2) =
A)
62
B)
8-9
C)
122

12-8

Answers

Answer:

B 8-9 because you had to subtract that number or simplify. then your answer is 8-9

Janel did an experiment to see which spices can kill bacteria. She mixed a spice with bacteria food called agar. She poured the agar and spice mix into a petri dish(a plate used for growing bacteria) and added bacteria. She did the same for five different spices. This is an example of

Answers

Answer:

Antibacterial activity

Explanation:

The antibacterial property does not allow bacterias to live in an environment. Many spices have the ability to show antibacterial activity, few of these spices can be named as cinnamon, turmeric, or clove. Because they have antimicrobial or antibacterial characteristics that is why they are used for food preservation, disease prevention, and provide many health benefits. But, not every spice has antibacterial characteristics, that is why Janel experimented with five different spices to see which amongst them possess antibacterial characteristics.

Hence the correct answer is Antibacterial activity.

What must be true for a hypothesis to become generally accepted by
scientists?
A. It must involve lots of complicated math.
B. It must have been tested by many scientists.
O O O O
C. It must be presented by a famous scientist.
D. It must be proven true by one experiment.

Answers

Answer:

B It must have been tested by many scientists.

Explanation:

trust me :)

For a hypothesis to become generally accepted by scientists, It must have been tested by many scientists. Hence option B is correct.

What is hypothesis ?

A hypothesis is a theory put up to explain a phenomena. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are often based on prior findings that cannot be adequately explained by the current body of knowledge. Despite the fact that the terms "hypothesis" and "theory" are sometimes used interchangeably, they are not the same thing. A working hypothesis is an acknowledged theory that has been tentatively supported and is put up for further investigation.

In formal logic, the term "hypothesis" is used to refer to the antecedent of a statement, or in the proposition, in a different sense.

Hence option B is correct.

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Which is the best estimate for the width of a typical adult hand?

Answers

Answer:

About 4-5in

Explanation:

Classify each of the following chemical reactions. Upper S plus upper O Subscript 2 right arrow upper S upper O subscript 2. Upper C a upper C l subscript 2 plus 2 upper A g upper N upper O subscript 3 right arrow upper C a (upper n upper O subscript 3) subscript 2 plus 2 upper A g upper C l. Upper Z n plus upper C u upper S upper O subscript 4 right arrow upper C u plus upper Z n upper S upper O subscript 4. 2 upper N a subscript 2 upper O right arrow 4 upper N a plus upper O subscript 2.

Answers

Answer:

synthesis and combustion

double replacement

single replacement

decomposition only

in that exact order edge 2020

The presented reactions are:

S + O₂ ⇒ SO₂    Synthesis or combination

CaCl₂ + AgNO₃ = Ca(NO₃)₂ + 2 AgCl   Double displacement

Zn + CuSO₄ = Cu + ZnSO₄   Single displacement

2 Na₂O = 4 Na + O₂   Decomposition

Let's consider and classify the following reactions.

S + O₂ ⇒ SO₂

This is a synthesis or combination reaction. 2 compounds combine to form another.

CaCl₂ + AgNO₃ = Ca(NO₃)₂ + 2 AgCl

This is a double displacement reaction. Both compounds exchange their cations and anions.

Zn + CuSO₄ = Cu + ZnSO₄

This is a single displacement reaction. A metal displaces other metal from its salt.

2 Na₂O = 4 Na + O₂

This is a decomposition reaction. A compound decomposes into 2 other compounds.

The presented reactions are:

S + O₂ ⇒ SO₂    Synthesis or combination

CaCl₂ + AgNO₃ = Ca(NO₃)₂ + 2 AgCl   Double displacement

Zn + CuSO₄ = Cu + ZnSO₄   Single displacement

2 Na₂O = 4 Na + O₂   Decomposition

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what are three effects of using only non-renewable resources? please help

Answers

Non-renewable resources need to be burnt. This means we release heat into the air, we release carbon dioxide into the air which causes greenhouse effect, we also reduce fossil fuels which are needed for other purposes.

Cacao beans arrive in a factory from the areas where they grew. At the factory, the best beans are sorted and put into bags. After quality-control workers check the bags, a large truck transports the cacao beans to a commercial chocolate-producing company. Which organelle plays a similar role inside a cell?
A. cytoplasm
B. Golgi body
C. mitochondrion
D. ribosome
E. vacuole

Answers

Answer:

B. Golgi body

Explanation:

The Golgi body is the region where proteins are modified, packaged, and transported to the appropriate location, usually outside of the cell.

The cytoplasm is the intracellular fluid/space, the mitochondrion produces energy, the ribosome produces proteins, and the vacuole is a storage organelle.    

The Answer is B , Because the golgi body stores stuff for later use.

hope this helps

An object with a charge of 1.2 C is located 4.5 m away from a second object that has a charge of 0.36 C. Find the electrical force that the objects exert on each other. Use 8.988×10 N⋅m2/C2 for the value of Coulomb's constant. Give your answer to two decimal places.

Answers

Answer:

[tex]1.917*10^8\ N[/tex]

Explanation:

Coulomb's law states that the electric force between two charges is directly proportional to the product of the two charges and inversely proportional to the square of the distance between them. It is given by the formula:

[tex]F=k\frac{q_1q_2}{r^2}\\ \\q_1=first\ charge = 1.2C,q_2=second\ charge=0.36C,k=coulomb\ constant=8.988*10^9 N.m^2/C^2, r=distance=4.5m,F=force\\\\F=8.988*10^9*\frac{1.2*0.36}{4.5^2} =1.917*10^8\ N[/tex]

Which sentence describes Newton's first law?
A. Forces always come in pairs that have the same magnitude.
B. The action force applied by one object to another is opposite in
direction to the reaction force.
C. It takes a larger net force to accelerate an object at a greater rate.
D. Unbalanced forces cause an object to move.
SM

Answers

[tex]\Large{\red{\bf{\blue{\dag} Answer:-}}}[/tex]

Newton's First Law of Motion :

An object stays in rest or in uniform motion unless and until compelled by an external unbalanced force . This is also known as " Law of Inertia " .

Here this statement is best represented by the statement : Unbalanced forces cause an object to move. [ option c ]

More to know :-

Newton's 3 laws of motion :-

Newton's First Law of Motion :-

It states that an object stays in rest or in uniform motion unless and until compelled by an external unbalanced force . This is also known as " Law of Inertia " .

Ex - (i) We tend to fall backwards while standing in the bus , when it starts suddenly.

(ii) We tend to fall forward while standing in the bus , when it stops suddenly.

Newton's Second Law of Motion :-

It states that the rate of change of momentum is directly proportional to the applied force in the direction of the force . That is ∆p [tex]\propto[/tex] Force .

Ex - (i) When we push car & a truck with same force the car will have Greater acceleration due to less mass . (Imaginary case ).

(ii) We feel easy to push a empty cart than a full cart .

Newton's Third Law of Motion :-

It states that every action has equal and opposite reaction .

Ex - (i) We are able to walk on ground due to Newton's third law of motion .

(ii) When we push wall it also applies equal and opposite force .

"Unbalanced forces cause an object to move " is the sentence that describes Newton's first law.

Describe Newton's first law.

   A body remains in the state of rest or uniform motion in a straight line unless and until an external force acts on it.

      The object is to be rest if the velocity and acceleration are zero.  When an object is in motion, velocity is not equal to zero (v ≠ 0) but acceleration (a = 0) is equal to zero. Therefore, the object will continue in motion with constant velocity in the same direction.

Example:

      If we jump from a bus while moving, our body will be like still moving in the same direction of the vehicle. When your feet hit the ground, the grounds act on your feet and stop moving. You will fall because the upper part of your body didn't stop and you will fall in the direction you were moving.

     If the object have the greater mass, then the object will have more inertia. Forces can change the object's motion.

Hence, Option D is the correct answer.

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If a 3.1g ring is heated using 10.0 J, its temperature rises 19.7°C. Calculate
the specific heat capacity of the ring.

Answers

Answer:

Since 10 J / 4.19 J /cal = 2.39 cal     is the heat absorbed by the ring

Q = Cs * m * (T2 - T1)      heat absorbed by ring

Cs = 2.39 cal / (3.1 g * 19.7 deg C) = .039 cal / (gm deg C)

10 J / 4.19 J /cal = 2.39 cal     is the heat absorbed by the ring, Q = Cs * m * (T2 - T1)      heat absorbed by ring. Cs = 2.39 cal / (3.1 g * 19.7 deg C) = .039 cal / (gm deg C).

What is Specific heat capacity?

The amount of heat required to raise the temperature per unit mass is known as specific heat capacity. The heat in Joules required to increase the temperature of 1 gram of sample by 1 Kelvin or degree Celsius is typically stated.

Water is an excellent temperature regulator because it has a very high specific heat capacity.

The amount of heat in joules needed to raise 1 gram of a substance by 1 Kelvin is known as the specific heat capacity (symbol: c). It could also be written as J/kgK. Molar heat capacity, measured in J/mol K, and volumetric heat capacity, measured in J/m3 K, are comparable values.

Therefore, 10 J / 4.19 J /cal = 2.39 cal     is the heat absorbed by the ring, Q = Cs * m * (T2 - T1)      heat absorbed by ring. Cs = 2.39 cal / (3.1 g * 19.7 deg C) = .039 cal / (gm deg C).

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A force applied to a 0.25 Kg hockey puck gives the puck an acceleration of 16 m/s2. What acceleration would the same force give to a 0.50 Kg baseball?

Answers

Answer:

8 m/s².

Explanation:

We'll begin by calculating the force applied to 0.25 Kg hockey puck. This is illustrated below:

Mass (m) = 0.25 Kg

Acceleration (a) = 16 m/s²

Force (F) =.?

Force (F) = mass (m) × acceleration (a)

F = ma

F = 0.25 × 16

F = 4 N

Therefore, a force of4 N was applied to the 0.25 Kg hockey puck.

Finally, we shall determine the acceleration in which the 4 N force will give to the 0.50 Kg baseball. This can be obtained as follow:

Mass (m) = 0.50 Kg

Force (F) = 4 N

Acceleration (a) =?

F = ma

4 = 0.5 × a

Divide both side by 0.5

a = 4 / 0.5

a = 8 m/s²

Therefore, the same force (i.e 4 N) applied to the hockey puck will give the 0.5 kg baseball an acceleration of 8 m/s².

Suppose a scientist conducts a series of experiments and the results are so amazing she wants to share them with other experts in her field Why would it be risky for her to make the results public on her own website before publishing them to a scientific journal

Answers

Answer:

The results have not been through the rigorous process of peer review

Explanation:

When a scientist conducts a study and obtains results, those results ought to be submitted to a reputable journal where the results would go through the rigorous protocol of peer review.

During this process, the reliability of the data presented is ascertained before the results are published for other scientists to see.

If the results are hurriedly published on the internet, many researchers who come in contact with the work may be fed with inaccurate information.

Find the acceleration if the force is 10 N and the mass is 5 kg.

Answers

Explanation:

Hey there!

Given;

F = 10N

Mass = 5kg

Acceleration due to gravity (a)= 9.8m/s^2

We know that;

F = m*a

Put all values and solve for "m".

10 = m*9.8

Simplify it.

[tex]m = \frac{10}{9.8} [/tex]

Therefore, m= 1.0204kg.

Hope it helps...

Which of the above beak depth vs time graphs represent the change in finch beak depth that would occur due to successive years of above average rainfall?

Answers

Answer:

A

Explanation:

I just did it :)

Answer:

It is A

Explanation:

I did it and got a 100

difference between gravity and gravitation​

Answers

Answer:

Gravitation is the attractive force existing between any two objects that have mass. The force of gravitation pulls objects together. Gravity is the gravitational force that occurs between the earth and other bodies. Gravity is the force acting to pull objects toward the earth.

Doe the baby diaper tabs go to the front or back. Huggies diaper.

Answers

Answer:

back lol

Explanation:

Pull the tabs and wrap around to stick to the front of the diaper:)

Answer:

Front of the diaper

You take the straps that are connected to the back of the diaper and pull the. forward to attach to the front.

hope this helps.

help do number 16 and 17​

Answers

Answer:

16 is d and i have no idea for 17

BRAINLIEST & 20 POINTS ANSWER THE BOTTOM TWO QUESTIONS PLEASE HURRY!!!!

Answers

Answer:

For 9 is 2,4,1 and 3.For 10 b-c moves 15 from each other and e-f moves 15 also from each other.

The air in a scuba tank is under more than 200 times the normal air pressure. Why should a filled scuba tank never be left in a hot car for an extended period of time?

Answers

Answer:

Burst open

Explanation:

it could create an explosion cause after some time the air wont be good anymore and staying inside a hot car is like someone sitting an oven it would burst open and create an explosion depending on the size of it

PLEASE HELP THIS IS DUE IN 10 MINUTES- (15 points!)
1st question- what are the weather fronts(use the pic for help)
2nd question- who has better weather— high pressure systems or low pressure systems and how do you know?
(Please add explanation)<3

Answers

Answer: I would say that B would have better weather because those dots on the right are cold fronts and the smooth side without the dots is a warm front. I hope this helps :)

Explanation:

Give reasons.
a. A stretched catapult has potential energy.
b A stone on ground has zero energy.
C. Rolling a drum is work against friction.
d. Lifting a stone is work against gravity.
e. Work and energy both have same unit.​

Answers

a. A stretched catapult can do work when released so it must have potential energy.

b. A stone on the ground will not move on its own ever again so it has zero energy.

c. In order to roll an object there must be a friction force between the object and the ground (otherwise it will slide)

d. To lift a stone you must overcome the weight which is the force due to gravity.

e. Work and energy are both measured in Joules.
Other Questions
HELP ME ASAP!!! List the fractions and decimals in order from least to greatest14: 0.5, 1/5, 0.35, 12/25, 4/517: -2.3, -2 4/5, -2.618: -6.0, -5/8, -7/12, -0.7219:1.45, 1 1/2, 1 1/3, 1.220: -3.0, 0.5, 0.55, -0.3521. explain how to compare 0.7 and 5/8 1) According to the speaker in Muse des Beaux Arts, while someone is eating of opening a window or just walking, (lines 4-5) someone else isGroup of answer choicesA)Painting a picture.B)Causing them to suffer.C)Experiencing suffering.D)Waiting for the miraculous birth.2) What is it that the Old Masters mentioned in the poem clearly understood? Group of answer choicesA)The dreadful martyrdom of a dogs lifeB)The subjects of many old paintingsC)The suffering involved in miraculous birthD)The human position toward suffering3)According to lines 5-8, old people are passionately waiting for the miraculous birth, but why do children not specially want it to happen?Group of answer choicesA)Skating on a pond is less important.B)The children must still go on with their doggy life.C)The Old Masters were never wrong.D)The event would have no effect on them.4) In lines 9-10 They never forgot / That even the dreadful martyrdom must run its course, the word they refers to the Group of answer choicesA)AgedB)ChildrenC)SufferersD)Old MastersPLEASE ANSWER ALL THE QUESTIONS AND FOR THE FIRST PERSON TO ANSWER CORRECT I GIVE BRAINLIEST!!!i GIVE 100 POINTS!! Merrily, we roll along over the deep blue sea. What does the word merrily modify in the sentence above? help me w/ this pls .. will mark brainliest what did the quartering act place taxes on A soccer ball accelerates from rest and rolls 6.5m down a hill in 3.1 s. It then bumps into a tree. What is the speed of the ball just before it hits the tree. Plymouth Colony The King of England, ___________________________________ rebelled against the Roman Catholic Church and started his own Church called the Church of England. These people became known as _____________________________________. In 1620, __________________________ decided to take the ____________________________ and settle in the USA. Fill in the blank. i put a picture of the question. please help The quanities x and y are proportional Find the constant of proportionality (r) in the equation y= rxCORRECT ANSWER = BRAINLEIST A square and rectangle have the same perimiter. The length of a side of the square is 4x-1. The length of the rectangle is 2x+2 and the width is 2x. Write and solve and equation to find x. List four powers of the government under the Articles of Confederation. Develop an argument that evaluates the extent to which states in Europe exercised power differently from states in Asia or Africa in the period 1200-1450. Which of the triangles described in the table is a right triangle?A. QB. RC. SD. T show connection between sociocultural environment and health education 5. What gases was produced from decomposing hydrogen peroxide? What non-gaseous product formed from the reaction PLZZZ I NEED HELPP THANK YOU SO MUCH REVISING (Passage 1)Cheryl has written an essay for her English class. Read Cheryl's rough draft then answer the questions that follow.An Adventure of a Lifetime(1) More and more people are starting to look in places other than their chosen career paths to find meaning and satisfaction in life, and one of the most popularways folks are doing this is through volunteerism. (2) One specific kind of volunteerism, though, is becoming increasingly popular with people of all ages and stagesin lifevolunteer vacations. (3) This kind of vacation, one where the traveler pays her own way and volunteers her time and efforts while on the trip, is beingembraced by people all over the world. (4) The best thing about volunteer vacations is that not only does the traveler get to escape her familiar surroundings andsee new sights, but she also comes home knowing that she has done something. (5) That knowledge brings a kind of satisfaction that a regular vacation cannotdeliver.(6) Volunteer vacations take travelers almost anywhere across the globe to work on a huge selection of causes. (7) Worried about the elephants in Sri Lanka? (8)Book a trip to its capital, Colombo, and journey to an elephant sanctuary. (9) Concerned about families living in poverty in Costa Rica? (10) Bring your whole familydown to help build new homes and learn a little Spanish while doing so. (11) Volunteer vacations can take willing helpers to the farthest reaches and most exoticlocationssome luxurious resorts are situated in areas that are steeped in poverty, so vacationers willing to spend half their time working can visit such places inbeautiful countries such as Bali, Mexico, and Brazil. (12) There is almost no limit to where adventurers can go.(13) Perhaps the most compelling reason to consider a volunteer vacation is the feeling of intrinsic happiness and satisfaction of doing important, helpful work. (14)Even if a volunteer cannot stay in the location long enough to see a project to its completion, just knowing that ones work has helped people in need, brought vitalresources to folks who needed it, or helped to save endangered plants or animals brings a kind of pride and sense of meaning that simply spending money to lie by apool could never deliver. (15) This alone is part of what has caused volunteer vacations to become awesomely popular across the globe.(16) There may be no better feeling than being able to visit an exotic location, learn something new, and return home knowing that ones efforts have helped tochange the world. (17) Because the whole goal behind a vacation is to escape ones usual, familiar surroundings and refuel, volunteer vacations seem like a win-winsituation with a promise of some kind of success for both the volunteer and those helped by the work. (18) For these reasons, a volunteer vacation is an adventure ofa lifetime.Qestions: 1) Which of the following would best replace done something to provide a clearer ending to sentence 4?gotten away from homebuilt a houseaffected positive changetaken time to relax2) Cheryl wants to add a better transition between the second paragraph (sentences 612) and the third paragraph (sentences 1315). Which of the following sentences should be added after sentence 12 to help readers effectively transition from the second paragraph to the third?Why not consider trying one of many different and exciting types of volunteer vacations available today?Adventurers can go anywhere in the world that they can imagine.Volunteers of any age can travel the world on a volunteer vacation.Volunteers of any age can travel the world on a volunteer vacation.If benefiting others isnt reason enough to try a volunteer vacation, imagine the ways you might benefit.3) Cheryl wants to improve her word choice in sentence 15 to match the tone that is appropriate for her audience and purpose. Which phrase best replaces become awesomely popular?skyrocket in likabilitysurge in popularitychange in recognitionincrease in interest A process is normally distributed and in control, with known mean and variance, and the usual three-sigma limits are used on the control chart, so that the probability of a single point plotting outside the control limits when the process is in control is 0.0027. Suppose that this chart is being used in phase I and the averages from a set of m samples or subgroups from this process are plotted on this chart. What is the probability that at least one of the averages will plot outside the control limits when m = 5? Repeat these calculations for the cases where m = 10, m = 20, m = 30, and m = 50. Required:Discuss the results that you have obtained. Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years. Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal? Enter the correct answer in the box by replacing the values of m and b.