10. ABC.Per=1200 NNet Force:Pit=600 NEngen-SONFrid=20 NPry=800 NPrax=800 NF50NWhich situation above would best describe free fall velocity?Which situation above would best describe a crane lifting an object?If situation C had a Fapp of 40N to the right, the net force on the object would beIf situation Chad Fapp of 20N to the right, the forces would be (balanced, unbalanced) and thehorizontal velocity would be (constant, + accelerating, - accelerating). Circle the correct terms

10. ABC.Per=1200 NNet Force:Pit=600 NEngen-SONFrid=20 NPry=800 NPrax=800 NF50NWhich Situation Above Would

Answers

Answer 1

When the body is under free fall its apperaent weight will be zero.

Therefore


Related Questions

Two sounds of 610Hz and 620Hz are played together. The frequency you hear will be ___. The beat frequency is ___

Answers

Explanation

The beat frequency is equal to the complete value of the alteration in the frequency of the two waves,it can be calculated by using the expression

[tex]f_{beat}=\lvert{{f_1}-f_2}\rvert[/tex]

so

Step 1

a)let

[tex]\begin{gathered} f_1=610\text{ Hz} \\ f_2=620\text{ Hz} \end{gathered}[/tex]

b) replace and calculate

[tex]\begin{gathered} f_{beat}=\lvert{{f_1}-f_2}\rvert \\ f_{beat}=\lvert610\text{ Hz-620Hz}\rvert \\ f_{beat}=10\text{ Hz} \end{gathered}[/tex]

so

the beat frequency is 10 HZ

Step 2

the frequency yuo will detect is the difference of the frequency, so , teh frequency beat, so

the frequency you hear will be 10 Hz

I hope this helps you

A construction worker pushes a wheelbarrow 5.0 m with a horizontal force of 250.0 N. How much work is done by the worker on the wheelbarrow

Answers

Given data

*A construction worker pushes a wheelbarrow at a distance is d = 5.0 m

*The given horizontal force is F = 250.0 N

The formula for the work is done by the worker on the wheelbarrow is given as

[tex]W=F\times d[/tex]

Substitute the known values in the above expression as

[tex]\begin{gathered} W=(250.0)(5.0) \\ =1250\text{ J} \end{gathered}[/tex]

Hence, the work done by the worker on the wheelbarrow is W = 1250 J

Given v = 145 sin (200πt + 3π/2), what is the period?Question 12 options:10 msec5 sec.03 sec.005 sec

Answers

For a sine or cosine function of the form:

[tex]A\sin (B(x+C))+D[/tex]

the perfiod is given by:

[tex]\frac{2\pi}{B}[/tex]

In this case we have that:

[tex]B=200\pi[/tex]

Then we have:

[tex]\frac{2\pi}{200\pi}=\frac{1}{100}=0.01=10\times10^{-3}[/tex]

Therefore, the period is 10 ms

WILL MARK AS BRAINLIST!⚠️
Find the direction of this vector -22.2m, 12.6m

Answers

Answer:

Angle:

α =  - 62°

Explanation:

 Given:

Nₓ = 12.6 m

Ny = - 22.2 m

_________

α -  ?

The direction of  vector:

tg α = Ny / Nₓ

tg α = ( - 22.2 ) / 12.0 ≈ - 1.85

Angle:

α = arctg ( - 1.85) ≈ - 62°

The direction of the vector is [tex]\alpha=-62^o[/tex]. Given Components: Nₓ = 12.6 m and Ny = -22.2 m. The negative sign indicates that the angle is measured clockwise from the positive x-axis.

Finding the Tangent of Angle α:

  - The tangent of an angle α can be calculated using the formula: tan(α) = opposite/adjacent. In this case, the opposite side is Ny, and the adjacent side is Nₓ. So, you have:

    tan(α) = Ny / Nₓ

    tan(α) = (-22.2) / 12.6 ≈ -1.85

Finding the Angle α:

  - To find the angle α, you need to take the arctangent (inverse tangent) of the value you calculated above. This will give you the angle whose tangent is approximately -1.85:

    α = arctan(-1.85)

    α ≈ -62°

So, based on the given vector components Nₓ and Ny, the angle α is approximately -62 degrees.

The negative sign indicates that the angle is measured clockwise from the positive x-axis.

The angle obtained is in degrees. If you need the angle in radians, you could convert it using the relationship: radians = degrees × (π / 180).

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The potential energy of two atoms in a diatomic molecule is approximated by U(r)=a/r12−b/r6, where r is the spacing between atoms and a and b are positive constants.
Find the force F(r) on one atom as a function of r .
Express your answer in terms of the variables a , b , and r .

Answers

The force (r) on one atom as a function of r is  a/r¹³ - b/r⁷.

What is the electric force between charged molecules?

The electric force between charged molecules is determined by applying Coulomb's law, which states that the electric force between tow charged molecules is directly proportional to the product of their charges and inversely proportional to the square of their distance.

F = kq²/r²

where;

q is the magnitude of the chargesr is the distance between the charges

The electric potential energy of the atoms is given as;

U = Fr

From the given parameters;

Fr = a/r¹² − b/r⁶

F = 1/r( a/r¹² − b/r⁶)

F = a/r¹³ - b/r⁷

Thus, the force on one atom as a function of r is determined by applying Coulomb's law of electrostatic force. The force is also expressed in terms of the variables a , b , and r .

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Examine the heating curve for water below. Answer each question andcomplete the table to review your understanding of heating curves

Answers

Explanation:

When the temperature is increasing, the kinetic energy change, and when the graph is horizontal (the water is changing phases), the potential energy changes.

So at A, C, and E, there is a change in kinetic energy and at B and D there is a change in potential energy.

Then, we use a specific heat capacity of 4.2 J/g°C when the water is at A, C, and E. We use latent heat of 334 J/g for melting and latent heat of 2260 J/g for evaporation.

Answer:

Therefore, the complete table is

What is the shortest distance in which you can stop, after the brakes are applied, without the groceries sliding off the seat? The static and kinetic coefficients of friction are, respectively, 0.65 and 0.45. Assume that the surface of the seat is horizontal.

Answers

The shortest distance in which you can stop, after the breaks are applied is 80.38 m.

What is the shortest distance you can stop?

The shortest distance in which you can stop is calculated by applying the principle of conservation of energy and work energy principle.

K.E = ¹/₂mv²

where;

K.E is your kinetic energy

m is your mass

v is your speed

The work done by force of friction before you stop is calculated as follows;

W = Ffx

where;

Ff is the frictional forcex is the shortest distance you can stop

W = (μmg)x

where;

μ is coefficient of kinetic friction

W = K.E

(μmg)x = ¹/₂mv²

(μg)x = ¹/₂v²

x = (v²) / (2μg)

x = (32²) / (2 x 0.65 x 9.8)

x = 80.38 m

Thus, the shortest distance in which you can stop, after the breaks are applied is determined by applying the principle of conservation of energy.

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The complete question is below:

Your are driving at 32 m/s, what is the shortest distance in which you can stop, after the brakes are applied, without the groceries sliding off the seat? The static and kinetic coefficients of friction are, respectively, 0.65 and 0.45. Assume that the surface of the seat is horizontal.

Moments after making the dreaded decision to jump out the door of the airplane, Darin's 75.5-kg body experiences +128 N of air resistance upward. Determine Darin's acceleration (in m/s^2) at this instant in time.Hint: Your answer will be negative since he is falling (i.e., his acceleration is still in the down direction). Answer: ________ m/s^2

Answers

Given:

The mass of the Darin is m = 75.5 kg

The air resistance is

[tex]F_a=128\text{ N}[/tex]

Required: Darin's acceleration.

Explanation:

According to Newton's second law, the downward force will be

[tex]F_g=\text{ mg}[/tex]

Here, g = -9.8 m/s^2 is the acceleration due to gravity.

On substituting the values, the downward force will be

[tex]\begin{gathered} F_g=75.5\times(-9.8) \\ =\text{ -739.9 N} \end{gathered}[/tex]

The net force will be

[tex]\begin{gathered} F_{net}=\text{ F}_g+F_a \\ =-739.9+128 \\ =-611.9\text{ N} \end{gathered}[/tex]

Final Answer: Darin's acceleration is -611.9 N

An 1,810 W toaster, a 1,340 W electric frying pan, and an 85 W lamp are plugged into the same outlet in a 15 A, 120 V circuit. (The three devices are in parallel when plugged into the same socket.)(a) What current (in A) is drawn by each device?Itoaster= AIpan= AIlamp= A

Answers

ANSWER

• I(toaster) = 15.08 A

,

• I(pan) = 11.17 A

,

• I(lamp) = 0.71 A

EXPLANATION

Given:

• The toaster's power, P(toaster) = 1810 W

,

• The frying pan's power, P(pan) = 1340 W

,

• The lamp's power, P(lamp) = 85 W

,

• The total current supported by the circuit, I = 15 A

,

• The voltage of the circuit, V = 120 V

Find:

• The current across each device

Power is the product of current and voltage,

[tex]P=I\cdot V[/tex]

We know that all three devices are connected in parallel, which means that they all have the same voltage, 120 V.

Solving the equation above for I,

[tex]I=\frac{P}{V}[/tex]

So, for each device,

[tex]I_{toaster}=\frac{P_{toaster}}{V}=\frac{1810W}{120V}\approx15.08A[/tex][tex]I_{pan}=\frac{P_{pan}}{V}=\frac{1340W}{120V}\approx11.17A[/tex][tex]I_{lamp}=\frac{P_{lamp}}{V}=\frac{85W}{120V}\approx0.71A[/tex]

Hence, the current drawn by each device is:

• I(toaster) = 15.08 A

,

• I(pan) = 11.17 A

,

• I(lamp) = 0.71 A

A 22-pound force that makes an angle of 12° with an inclined plane is pulling a box up the plane. The inclined plane makes a 25° angle with the horizontal. What is the magnitude of the effective force pulling the box up the plane?

Answers

We will ave that the effective force is:

[tex]\begin{gathered} F=(22Lb)cos(12)\Rightarrow F=21.51924722...Lb \\ \\ \Rightarrow F\approx21.52Lb \end{gathered}[/tex]

So, the effective force is 21.52 Pounds.

A child and sled with a combined mass of 25.2 kg slide down a frictionless hill, starting at the top. The sled starts from rest and acquires a speed of 6 m/s by the time it reaches the bottom of the hill. What is the height (in m) of the hill?Answer: _________ m (round to the nearest hundredth)

Answers

Given:

The mass of the child and the sled is,

[tex]m=25.2\text{ kg}[/tex]

The child acquires a speed at the bottom of the hill is,

[tex]v=6\text{ m/s}[/tex]

To find:

The height of the hill

Explanation:

The potential energy at the top of the hill will be converted to the potential energy at the bottom of the hill. So for the hill of height 'h', we can write, the potential energy as

[tex]PE=mgh[/tex]

The kinetic energy is

[tex]KE=\frac{1}{2}mv^2[/tex]

So,

[tex]\begin{gathered} mgh=\frac{1}{2}mv^2 \\ h=\frac{v^2}{2g} \\ h=\frac{6^2}{2\times9.8} \\ h=1.84\text{ m} \end{gathered}[/tex]

Hence, the height of the hill is 1.84 m.

Every 5 seconds, the crest of a wave in the ocean travels 25 meters. What is the speed of the wave?

Answers

Given

Every 5 seconds

One wave travel 25m

Speed of waves

Explanation

[tex]\begin{gathered} v=\frac{25m}{5s} \\ v=5\text{ m/s} \end{gathered}[/tex]

The answer would be 5 m/s

Round the answer for each problem to the correct number of significant figures.

a. (7.31 × 104) + (3.23 × 103)

b. (8.54 × 10–3) – (3.41 × 10–4)

c. 4.35 dm × 2.34 dm × 7.35 dm

d. 4.78 cm + 3.218 cm + 5.82 cm

e. 38,736 km ÷ 4784 km

Answers

After solving each problem to correct the number of significant figures :

(a) 76330

(b) 8199 × 10⁻³

(c) 74.81 dm.

(d) 13.8 cm

(e) 8.09 km

What is an Equation?

Equations are mathematical expressions that have two algebraic expressions on either side of an equals (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left hand side = right hand side) is a fundamental mathematical formula.

According to the question,

(a) (7.31 × 10⁴) + (3.23 × 10³)

(73100) + (3230) = 76330

(b) (8.54 × 10⁻³) – (3.41 × 10⁻⁴)

= 8199 × 10⁻³

(c) 4.35 dm × 2.34 dm × 7.35 dm

= 74.81 dm.

(d) 4.78 cm+3.218 cm+5.82 cm

= 13.8 cm

(e) 38,736 km ÷ 4784 km

= 8.09 km

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Calculate the potential energy of a roller coaster when the coaster is at the top of a 107.1 meter high hill and has a mass of 2,078.1 kg when fully loaded with passengers.

Answers

Given:

The mass when fully loaded with passengers is m =2078.1 kg

The height is h = 107.1 m

To find the potential energy of the roller coaster.

Explanation:

The potential energy of the roller coaster is given by the formula

[tex]P\mathrm{}E\text{. =mgh}[/tex]

Here, g= 9.8 m/s^2 is the acceleration due to gravity.

Substituting the values, the potential energy of the roller coaster will be

[tex]\begin{gathered} P\mathrm{}E\text{. = 2078.1}\times9.8\times107.1 \\ =2181132.198\text{ N} \end{gathered}[/tex]

Final Answer: The potential energy of the roller coaster is 2181132.198 N

A 60.0 kg skier with an initial speed of 14 m/s coasts up a 2.50 m high rise

Find her final speed right at the top, in meters per second, given that the coefficient of friction between her skis and the snow is 0.38?

Answers

The final speed (in meters per second), given that the coefficient of friction between her skis and the snow is 0.38 is 14.65 m/s

How do I determine the final velocity?

First, we shall obtain the force. This can be obatined as follow:

Mass (m) = 60 KgAcceleration due to gravity (g) = 9.8 m/s²Normal reaction (N) = mg = 60 × 9.8 = 588 NCoefficient of kinetic friction (μK) = 0.38Force (F) = ?

F = μKN

F = 0.38 × 588

F = 223.44 N

Next, we shall obtain the acceleration of the skier. This can be obtained as follow:

Mass (m) = 60Force (F) = 223.44 NAcceleration (a) = ?

a = F / m

a = 223.44 / 61

a = 3.724 m/s²

Finally, we shall determine the final velocity. This can be obtained as follow:

Initial speed (u) = 14 m/sDistance (s) = 2.5 mDeceleration (a) = 3.724 m/s²Final speed (v) =?

v² = u² + 2as

v² = 14² + (2 × 3.724 × 50)

v² = 196 + 18.62

v² = 214.62

Take the square root of both sides

v = √214.62

v = 14.65 m/s

Thus, the the final speed is 14.65 m/s

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The final speed right at the top will be 14.65 m/s and the coefficient of friction between her skis and the snow is 0.38.

What is velocity?

The ratio between displacement to time is referred to as the velocity of the object. It is a vector quantity with SI unit meter per second (m/s).

According to the question, the given information is :

Skier's mass, m = 60 kg

The acceleration due to gravity, g = 9.8 m/s²

Initial Speed, u = 14 m/s

Distance, s = 2.5 m

Deceleration is given as, a = 3.724 m/s².

Normal reaction force (N) will be equal to mg.

N = 60 × 9.8

N = 588 N

The coefficient of kinetic friction is given as, μ = 0.38

By using the formula,

F = μKN

F = 0.38 × 588

F = 223.44 N

Now, let's calculate the acceleration of the skier :

f = ma

a = f/m

a = 223.44/60

a =  3.724 m/s².

Now, calculate the velocity,

v² = u² + 2as

v² = 14² + 2 (3.724) (50)

v² = 196 + 18.62

v² = 214.62

v = 14.65 m/s.

Hence, the final speed right at the top will be 14.65 m/s.

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Which of the following scientists discovered that atoms contain electrons?a. Daltonb. RutherfordC. Thomsond. Bohr

Answers

Until 1897, atom was thought as the fundemental particle. But in 1897 J.J Thompson discovered that the atoms contains electrons. He discovered during his experiment with cathod ray tube.

Thus the correct answer is option C.

Can you tell me the types of thermal processes and there meanings

Answers

Isothermal process: Temperature remains constant

Adiabatic process: No heat is exchanged to or from the system.

Isochoric process : Change in volume is zero.

ISobaric process : Pressure remains constant .

How much time would it take a car to go from a speed of 10m/s to 30m/s if it acceleratesat a rate of 4.0m/s/s?

Answers

Given,

The initial velocity of the car, u=10 m/s

The final velocity of the car, v=30 m/s

The acceleration of the car, a= 4.0 m/s²

From one of the equations of the motion, we have

[tex]v=u+at[/tex]

Where t is the time duration.

On rearranging the above equation,

[tex]t=\frac{v-u}{a}[/tex]

On substituting the known values,

[tex]t=\frac{30-10}{4.0}=5\text{ s}[/tex]

Therefore the time that the car takes to accelerate is 5 s

If you see an object following a curve path, you can safely assume:There is a net force being applied The net force is zero

Answers

If an object is following a curve, it means that it is changing direction. This change in direction will cause a change in velocity. Change in velocity causes acceleration. Since the velocity keeps changing, the acceleration is not zero. This also means that the net force is not zero. Therefore, you can safely assume:

There is a net force being applied

What is the mass of 12 m3 of methylated spirit whose relative density is 0.8 ? ( Hint the density of water = 1000 kgm-3 ) A. 9600 kg B.9400 kg C. 8600 kg

Answers

ANSWER

A. 9600 kg

EXPLANATION

Given:

• The volume of the substance, V = 12m³

,

• The relative density of the substance, 0.8

,

• The density of water, 1000 kg/m³

Unknown:

• The mass of the substance, m

The relative density of a substance is defined as,

[tex]\rho_{relative}=\frac{\rho_{substance}}{\rho_{water}}[/tex]

And the density of a substance is,

[tex]\rho=\frac{m}{V}[/tex]

Let's solve the first formula for the density of the substance,

[tex]\rho_{substance}=\rho_{relative}\cdot\rho_{water}=0.8\cdot1000\operatorname{kg}/m^3=800\operatorname{kg}/m^3[/tex]

Then, solve the second formula for m,

[tex]m=\rho\cdot V=800\operatorname{kg}/m^3\cdot12m^3=9600\operatorname{kg}[/tex]

Hence, the mass of this substance is 9600 kg

Choose all the answers that apply.Asteroids:only orbit planetsonly orbit the sunare made of frozen gas and icetake millions of years to orbit the sun sometimes come very close to Earth

Answers

ANSWER:

5th option: sometimes come very close to Earth

STEP-BY-STEP EXPLANATION:

Asteroids are small rocky objects that orbit the Sun. Although asteroids orbit the Sun like planets, they are much smaller.

Therefore, of the options the only totally true option is "sometimes come very close to Earth"

So the correct answer is 5th option: sometimes come very close to Earth

In which direction does the tension force on the pirate point when a gust of wind rises up?

Answers

Answer: For downwind sailing, with the sail oriented perpendicular to the wind direction, the pressure increase on the upwind side is greater than the pressure decrease.

Explanation: this is all i know

True/False: The only difference between how electricity is produced at a coal plant and at a nuclear reactor is the type of fuel used to heat the water to steam. Select one:TrueFalse

Answers

To determine whether the given statement is true/false.

Explanation:

In nuclear reactors, after nuclear fission, energy is generated in the form of heat. This heat is used convert water steam.

In coal plant, burning coal produces steam.

Thus, the statement is true.

Identify the following examples of forces as either a contact force or a non-contact force:

Answers

Given:

Different kinds of forces

To find:

Identify the contact forces and non-contact forces

Explanation:

A force that acts between two surfaces in contact is a contact force, while the force that acts between the two surfaces, not in contact, is a non-contact force.

The contact forces here are:

Sitting on a chair (friction)

Skateboard slows down on a rough surface (friction)

Slamming the door (friction)

Non-contact forces:

Magnet attracting paper clips (magnetic force)

Two like charges repel each other (electrostatic force)

When A peach falls from a tree (gravitational force)

A wave traveling on a Slinky® that is stretched to 4 m takes 4.97 s to travel the length of the Slinky and back again.(a) What is the speed (in m/s) of the wave? m/s

Answers

ANSWER

1.61 m/s

EXPLANATION

Given:

• The distance the Slinky is stretched, d = 4 m

,

• The time it takes for the wave to travel the length mentioned before and back, t = 4.97 s

Find:

• The speed of the wave, v

We know that the wave takes 4.97 seconds to travel the 4 meters the Slinky was stretched and back, so it travels a total of 8 meters in that time. This means that the speed of the wave is,

[tex]v=\frac{2d}{t}=\frac{8m}{4.97s}\approx1.61m/s[/tex]

Hence, the speed of the wave is 1.61 m/s.

Imagine that someone is looking out of the top floor window of a skyscraper with a brick in his hand at the same instant someone else is looking out if the window on the floor below also holding a brick if both bricks were dropped at the same instant would the distance between them increase decrease or remain the same over time why

Answers

The distance between them remain the same over time both of them are accelerating - because of gravity

What is acceleration ?

acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.

Both of them are accelerating - because of gravity - and the one that you dropped first has been accelerating for longer - and is therefore going faster than they one that you dropped later.

Until the two objects both reach their terminal velocities - assuming the objects are identical - their speeds will eventually be the same - and from that point onwards - the distance between them won’t change

The distance between them remain the same over time both of them are accelerating - because of gravity

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Please read the photo, Skill practice; how can you classify different types of energy?

Answers

There are 3 types of energy:

Kinetic energy(KE): energy of moving objects

Potential energy(PE): energy that an object has stored, position energy

Mechanical energy: The sum of both. PE+KE

The current in the circuit shown is 5.0 A, and the resistor is 2.0 Ω. What is the potential across the battery? A.8.0 VB.2.5 VC.10 VD.3.0 V

Answers

Given:

The current is,

[tex]i=5.0\text{ A}[/tex]

The resistance is,

[tex]R=2.0\text{ ohm}[/tex]

To find:

The potential across the battery

Explanation:

Using Ohm's law, we can write the potential across the battery is,

[tex]\begin{gathered} V=iR \\ =5.0\times2.0 \\ =10\text{ V} \end{gathered}[/tex]

Hence, the potential across the battery is 10 V.

Three non-parallel forces which can be represented both in magnitude and direction by the three sides of a triangle, taken in order, can: A. make a body oscillate B. make a body rotate C. keep a body in equilibrium D. move a body in a straight line E. always produce vertical motion of body​

Answers

Answer:

If the triangle representing the 3 non-colinear forces is closed

then then (C) the body is in equilibrium:

Adding vectors  A + B + C = 0 means that the resultant of adding the three vectors A, B, and C is zero

A 1 kg apple and a 2 kg grapefruit are 2 m apart. What is the force of gravity between each fruit?

Answers

According to Newton's law of gravitation, any particle of matter in the universe attracts any other with a force varying directly as the product of their masses and inversely as the square of the distance between them. It is expressed as

F = Gm1m2/r^2

where

G = gravitational constant and its value is G = 6.673 x 10^-11 Nm^2/kg^2

m1 and m2 are the masses of the bodies

r is the distance between the bodies

From the information given,

m1 = 1

m2 = 2

r = 2

By substituting these values into the formula,

F = (6.7 x 10^-11 x 1 x 2)/2^2

F = 33.5 x 10^- 12

F = 3.35 x 10^-11

The second option is correct

Other Questions
use the correct indirect object pronoun in front of the verb. Which transition shows a compare and contrast relationship?O in additionO accordinglyO to clarifyO similarly help, please! (photo attached) Read this sentence. I am going to take a walk when it cools off this evening.Identify which tense the sentence is showing.past tensefuture tensepresent tensepresent perfect tense in the model-view-controller pattern: a. the . . . displays the data. b. the . . . handles events. c. the . . . is pure data with no visual appearance. Which terms best describewriting that incorporates avariety of sentence length andconstruction?A. Simple, straightforwardly directB. Mature, rhythmically balancedC. Complex, technically informativeD. Succinct, dramatically interesting In the triangle below, suppose that mV = (x - 2)",mW = (x - 2), and m ZX=(4x+4)*Find the degree measure of each angle in the triangle.(x - 2)(4x + 4)m ZV =5?m ZW =001Xm 2x =(x - 2) 1. flight 1007 will hold 300 passengers the airline has booked 84% of the plane already. How many seats are open for the last-minute Travelers?2.Carly interviewed students to ask their favorite kind of television programs. 12 students claimed that they preferred comedies, 18 like drama 13 enjoy documentaries, and 7 voted for news programs what percentage of the students selected comedies? dietary fiber select one: a. is only in animal sources of food b. supplies more energy, gram per gram, than fat c. is not fully digested by the human intestinal tract d. promotes tooth decay a collection of nickels, dimes, and quarters consist of 70 coins with a total of $ 8.00 . if there are 2 times as many dimes as quarters, find the number of each type of coins. Percents build on one another in strange ways. It would seem that if you increased a number by 5% and thenincreased its result by 5% more, the overall increase would be 10%.7. Let's do exactly this with the easiest number to handle in percents.(a) Increase 100 by 5%(b) Increase your result form (a) by 5%.(C) What was the overall percent increase of the number 100? Why is it not 10%? 2. Luis hizo una excursin de 20 km 75 hm 75 dam 250 m en tres etapas. En la primera recorri 5 km 5 hm, y en la segunda 1 km 50 dam ms que en la anterior. Cunto recorri en la tercera etapa? Expresa el resultado de forma compleja what is 12 + 0.2 + 0.006 as a decimal and word form At the end of World War I, 9 million soldiers died in the battlefield and over 21 million soldiers were wounded. The question on the minds of many leaders was, Where do we go from here? After a war is fought between nations, what do you think should happen next? Why? in recent years the state of alaska issued license plates consisting of 7 characters. the first three characters are the letters of the alphabet excluding i, o, and x. the last four characters are the numeral digits. how many different license plates can be issued using this configuration (with repetition)? Write about a moment from your own life, speeding up the narrative to convey the experience and the emotions you were feeling. a person had $14,000 infested in two accounts, one paying 9% simple interest and one paying 10% simple interest. how much was invested in each account if the interest at the one year is $1339? 1 4/5 + (2 3/20 + 3/5) use mental math and properties to solve write your answer in simpleist form Identify the vertex of the function below.f(x) - 4= (x + 1)2-onSelect one:O a. (-4,1)O b.(1,-4)O c. (-1,-4)O d.(-1,4) 12 + 24 =__(__+__)Find the GCF. The first distributing number should be your GCF