Which exercise type will improve a person's range of motion?

Answers

Answer 1

Answer:

stretching prior to an exercise is a great way to improve a range of motion, along with yoga and Pilates!


Related Questions

A 3 Volt battery is connected in series to three resistors: 4,6, and 2. Find the total resistance.

Answers

Answer:

The same current flows through each resistor in series. Individual resistors in series do not get the total source voltage, but divide it. The total resistance in a series circuit is equal to the sum of the individual resistances: RN(series)=R1+R2+R3+…

Scuba divers carry ballast weights to have neutral buoyancy. At that condition, the buoyancy force on the diver exactly balances weight, and there is no tendency either to float toward the surface or to sink. In freshwater, a certain diver carries 10 lb of lead alloy ballast of density 1.1 x 104 kg/m3. During an excursion in seawater, the diver must carry 50% more ballast to remain neutrally buoyant. How much does this diver weigh

Answers

Answer:

732.96 N

Explanation:

In fresh water the diver carries ; 10 Ib of lead alloy = 44.5 N

Ballast density : 1.1 * 10^4 kg/m^3

Diver must carry 59% more ballast in seawater

first step : For fresh water

mass of lead alloy in freshwater

mf = wf /g  = 44.5 N / 9.81 = 4.536 kg

Volume of lead alloy ballast in fresh water

Vf = mf / plead  

    = ( 4.536 ) / ( 1.1 * 10^4 ) = 4.1 * 10^ -4 m^3

Second step : For sea water

mass of alloy in seawater

Ms = Ws / g

Ws = 10 Ib + 5 Ib = 15 Ib = 66.75 N

hence ; Ms = 66.75 / 9.81 = 6.804 kg

Volume of alloy in seawater

Vs = Ms / plead  = 6.804 / ( 1.1 * 10^4 ) = 6.2 * 10^-4 m^3

Next : considering the diver in freshwater with Ballast weight

= weight of diver + ballast weight (Wf) = ( pfresh * ( V + Vf ) ) * g   ----  ( 1 )

where : pfresh = 1000 kg/m^3 , Vf = 4.1 * 10^-4 m^3,  g = 9.81 , Wf = 44.5 N

hence equation 1 becomes

W + 44.5  = 9810 * V + 4.1

W + 40.4 = 9810 V --------------- ( 3 )

Considering Diver in seawater with Ballast weight

weight of diver + ballast weight (Ws) = ( psea * ( V + Vs ) ) * g   ---- ( 2 )

where : psea = 1026 kg/m^3 , Vs = 6.2 * 10^-4 m^3 , g = 9.81 , Ws = 66.75 N

equation 1 becomes

W + 66.75 = 10065.06 * V + 6.2

W + 60.55 = 10065.06 V

∴ V = ( W + 60.55 )/ 10065.06 (  Input value into equation 3 to determine the weight of the diver )

W + 40.4  = 9810 (  ( W + 60.55 )/ 10065.06  )

10065.6 ( W + 40.4 ) = 9810 ( W + 60.55 )  

10065.6 W - 9810 W = 593995.5 - 406650.24

∴ W ( weight of diver ) = 187345.26 / 255.6  = 732.96 N

The physics of wind instruments is based on the concept of standing waves. When the player blows into the mouthpiece, the column of air inside the instrument vibrates, and standing waves are produced. Although the acoustics of wind instruments is complicated, a simple description in terms of open and closed tubes can help in understanding the physical phenomena related to these instruments. For example, a flute can be described as an open-open pipe because a flutist covers the mouthpiece of the flute only partially. Meanwhile, a clarinet can be described as an open-closed pipe because the mouthpiece of the clarinet is almost completely closed by the reed.
What is the frequency of the first possible harmonic after the fundamental frequency in the open-closed pipe described in Part E?
Part E was What length of open-closed pipe would you need to achieve the same fundamental frequency as the open-open pipe discussed in Part A? Half the length of the open-open pipe.
Part A was Consider a pipe of length 80.0 open at both ends. What is the lowest frequency of the sound wave produced when you blow into the pipe? frequency 214 Hz

Answers

Answer:

a)    λ = 4L, b) L_c = ½ Lₐ,  c)  f = 214 Hz

Explanation:

a) in this part, the fundamental frequency (1st harmonic) is requested

In a pipe, the side that is closed has a node and the open side has a belly, so the wavelength inside the pipe is ¼ of the wavelength.

            λ = 4L

to find the frequency let's use the definition of velocity

            v = λ f

            f = v /λ

            f = v / 4L

b) in this part let's start by finding the resonance for a tube open at both ends

           λ = 2 L

           f = v / 2L

since they ask for the same frequency, let's match the two expressions

        v / 4L_c = v / 2Lₐ

        L_c = ½ Lₐ

therefore the length of the closed tube must be half the length of the open tube

c) It is indicated that the length of the open tube is L = 80 cm = 0.80 m

the frequency is

               f = v / 2L

               f = 343/2 0.8

               f = 214 Hz

You see a train that is moving toward you and sounding its
whistle at a constant frequency. Compared to the sound
produced by the whistle, the wavelength of the sound
observed by you is

Answers

Answer:

Shorter

Explanation:

i got the same question lol

When a train approaches the observer, the observer hears the sound with high frequency and the wavelenght observed by the observer is shorter.

What is doppler effect?

Doppler effect is defined as the phenomenon observed when the a wave from the source is moving towards or moving away from the observer. It gives the relation between the frequency change with respect to the observer.

When a light or sound wave from the source is moving towards the observer, it get compressed. When a light or sound wave is moving away from the observer, it gets stretched.

When the sound wave move towards the observer, the frequency received by the observer is greater. This is called the blue shift. When the sound waves move away from the observer, the frequency received by the observer is lesser. This is called red shift.

Frequency is inversely proportional to the wavelength. In red shift, frequency is lesser and wavelegth is higher. In blue shift, the wavelength is shorter due to higher frequency.

Hence, the train approach the observer, have high frequency and shorter wavelength.

To learn more about the Doppler shift:

https://brainly.com/question/30788579

#SPJ2

what do folds on a strip of paper mean

Answers

There are creases. Or just origami

A 0.8 kg bead slides on a curved wire, starting
from rest at point A as shown in the figure.
The segment from A to B is frictionless, and
the segment from B to C is rough. The point
A is at height 7.1 m and the point C is at
height 2.5 m with respect to point B.

Find the speed of the bead at B. The acceleration due to gravity is 9.8 m/s2
Answer in units of m/s.

If the bead comes to rest at C, find the change
in mechanical energy due to friction as it
moves from B to C.
Answer in units of J.

Answers

a) The speed of the bead at B is 11.79m/s.

b) The change in mechanical energy due to friction as it  moves from B to C is 36.064 J.  

If we drop the object from the shelf or release the spring, that potential energy is converted back into kinetic energy. Kinetic energy can also be transferred from one body to another in a collision, which can be elastic or inelastic.

a)

Potential energy is converted  to kinetic energy

[tex]\frac{1}{2} mv^2=mgh\\\\v=\sqrt{2gh} \\\\v_B=\sqrt{2(9.8)(7.1-0)} \\\\v_B=11.79m/s[/tex]

The speed of the bead at B is 11.79m/s.

b)

[tex]W = mg(h_A) - mg(h_B) = 0.8(9.8)(7.1 - 2.5) = 36.064 J\\\\W=36.064J[/tex]

The change in mechanical energy due to friction as it  moves from B to C is 36.064 J.

Learn more:

brainly.com/question/13584911

Which wavelength is most likely seen as violet light?

Answers

C is most likely seen as violet light!

A double-slit interference pattern is created by two narrow slits spaced 0.25 mm apart. Thedistance between the first and the fifth minimum on a screen 60 cm behind the slits is 5.5mm. What is the wavelength (in nm) of the light used in this experiment

Answers

Answer:

Explanation:

Slit distance d = .25 x 10⁻³ m .

Distance of screen D = 60 x 10⁻² m

Distance between first and fifth minimum = 5.5 x 10⁻³ m .

There will be four bright fringes between first and 5 th minimum so

distance between them = 4 x λ D / d  where λ is the wavelength of light .

Substituting the values

4 x λ x 60 x 10⁻² m  /  .25 x 10⁻³ m = 5.5 x 10⁻³ m

4 x λ x 60 x 10⁻² m =  .25 x 10⁻³ m x  5.5 x 10⁻³ m = 1.375 x 10⁻⁶ m

λ = .005729 x 10⁻⁴

= 572.9 x 10⁻⁹ m

= 572.9 nm .

Z. A force that gives a 8-kg objet an acceleration of 1.6 m/s^2 would give a 2-kg object an
acceleration of
a. 0.2 m/s2
b. 0.4 m/s2
c. 1.6 m/s2
d. 6.4 m/s2

Answers

Answer:

[tex]\boxed {\boxed {\sf D.\ 6.4\ m/s^2}}[/tex]

Explanation:

We need to find the acceleration of the 2 kilogram object. Let's complete this in 2 steps.

1. Force of 1st Object

First, we can find the force of the first, 8 kilogram object.

According to Newton's Second Law of Motion, force is the product of mass and acceleration.

[tex]F=m \times a[/tex]

The mass of the object is 8 kilograms and the acceleration is 1.6 meters per square second.

m= 8 kg a= 1.6 m/s²

Substitute these values into the formula.

[tex]F= 8 \ kg * 1.6 \ m/s^2[/tex]

Multiply.

[tex]F= 12.8 \ kg*m/s^2[/tex]

2. Acceleration of the 2nd Object

Now,  use the force we just calculated to complete the second part of the problem. We use the same formula:

[tex]F= m \times a[/tex]

This time, we know the force is 12.8 kilograms meters per square second and the mass is 2 kilograms.

F= 12.8 kg *m/s²m= 2 kg

Substitute the values into the formula.

[tex]12.8 \ kg*m/s^2= 2 \ kg *a[/tex]

Since we are solving for the acceleration, we must isolate the variable (a). It is being multiplied by 2 kg. The inverse of multiplication is division. Divide both sides of the equation by 2 kg.

[tex]\frac {12.8 \ kg*m/s^2}{2 \ kg}= \frac{2\ kg* a}{2 \ kg}[/tex]

[tex]\frac {12.8 \ kg*m/s^2}{2 \ kg}=a[/tex]

The units of kilograms cancel.

[tex]\frac {12.8}{2}\ m/s^2=a[/tex]

[tex]6.4 \ m/s^2=a[/tex]

The acceleration is 6.4 meters per square second.

During an observation, it was noticed that light diffracts as it passes through small slits in a barrier. What does this evidence reveal about light?

It can travel in various wavelengths.
It can travel through the vacuum of space.
It demonstrates a behavior of energy.
It demonstrates a behavior of waves.

Answers

Answer:

It can travel in various wavelengths. brainliest?

Explanation:

The evidence that reveals about the light is that  It can travel in various wavelengths.

What is diffraction?

It is the wave property that should be blending of the wave related to the corners.

At the time when the wave is bending so it passed via the openings.

Also, the light diffracted via the small slits and it should be shown to arise in the water waves and the sound waves.

hence, the first option is correct.

Learn more about light here: https://brainly.com/question/26122702

Need help for this question. Is the answer true or false

Answers

Answer: I think you have the correct answer. (I think it is false.)

Explanation: The Earth's magnetic field is mostly caused by electric currents in the liquid outer core. The Earth's core is hotter than 1043 K, the Curie point temperature above which the orientations of spins within iron become randomized. Such randomization causes the substance to lose its magnetization.

Ablock of mass m2 on arough horinzontal surfaceis connected to aball of mass m1 by alight weight cord over alight weight friction pulley as shownin figure .aforce of magnitude f at an angle

Answers

dndncbsnsndkdkksdkdndnsndnkckd

En un viaje ida y vuelta de 10 kilómetros, el desplazamiento y la distancia recorrida son respectivamente.

(Respuestas en la imagen)

Answers

Answer: creo que es A o D

Explanation:

Most photosynthesis takes place in the _____.

epidermis
spongy layer
palisade layer
cuticle

Answers

palisade mesophyll layer
The palisade mesophyll layer is made up of closely-packed, elongated cells located just below the upper epidermis. They contain chloroplasts and carry out most of the photosynthesis. Hope this helps!

Chloroplasts

if you see this from connexus, hi :)

The photo shows a person pumping gasoline into a car
Which TWO of these energy transformations will occur when the car’s engine starts?

A. Chemical energy —> thermal energy

B. Chemical energy —> mechanical energy

C. Mechanical energy —> Chemical energy

D. Thermal energy —> chemical energy

Choose TWO

Answers

Answer:

A&B

Explanation:

Answer:

Chemical to mechanical(b) and Chemical to Thermal(a)

Donna and Dave were participating in a lab on the properties of water. First, they tried to see how many drops of water they could fit on a penny. Then they dropped water and alcohol on waxed paper and observed what happened. Next they made a streak of water and then alcohol on the lab bench. The alcohol streak dried up and disappeared first. Donna and Dave had to write an explanation for everything that happened during the lab. How can they explain the disappearing alcohol? A) Alcohol is flammable. B) Alcohol has a lower boiling point than water. C) Alcohol has a lower melting point than water. D) Alcohol has a higher boiling point than water.

Answers

Answer:

D

Explanation:

D ok ok ok ok bye

The correct statement is that the alcohol has lower boiling point than water. The correct option is B.

What is boiling point?

At the boiling point, the pressure exerted by the surroundings on a liquid equals the pressure exerted by the liquid's vapor, under this condition, adding heat outcomes in the transformation of the liquid into its vapor without raising the temperature.

The boiling point of alcohol is low. Because there is less hydrogen bonding between ethanol molecules than between water molecules.

The ethanol requires less energy to vaporize than water, and water has a higher boiling point than ethanol.

The boiling point of a liquid can be known by utilizing the capillary method, that encompasses placing an inverted capillary in the liquid of interest as well as heating it.

Thus, the correct option is B.

For more details regarding boiling points, visit:

https://brainly.com/question/2153588

#SPJ6

g An electron moves on a direction perpendicular to this page, into this page . The arrow below shows the direction of the magnetic field B present in this region. ----------------> B The direction of the magnetic force acting on the electron is directed

Answers

Answer:

force on the electron is upwards

Explanation:

The magnetic force is given by the relation

        F = q v x B

the bold indicates vectors, we can write the module of this expression

        F = q v  B sin θ

the direction of the force is given by the right hand rule.

If we have a positive charge, the flea points in the direction of velocity, in this case towards the inside of the page.

fingers extended in the direction of the magnetite field, in our case to the right and

the palm gives the direction of the force for a positive charge, for a negative charge it is in the opposite direction. The palm points downwards, so the force on the electron is upwards

A car battery dies not so much because its voltage drops, but because chemical reactions increase its internal resistance. A good car battery typically has a terminal voltage of about 12.5 V and an internal resistance of about 0.020 Ω. When the battery dies its voltage can drop slightly, let's say it drops to about 10.1 V and the internal resistance increases to around 0.100 Ω.

Required:
a. How much current could the good battery alone drive through the starter motor?
b. How much current is the dead battery alone able to drive through the starter motor?

Answers

Answer:

(a) I = 625 A

(b) I = 101 A    

Explanation:

The relationship between current, voltage and resistance can be given by Ohm's Law:

V = IR

where,

V = Voltage

I = Current

R = Resistance

(a)

Here,

V = 12.5 V

R = 0.02 Ω

Therefore,

[tex]12.5\ V = I(0.02\ \Omega)\\\\I = \frac{12.5\ V}{0.02\ \Omega}[/tex]

I = 625 A  

(b)

Here,

V = 10.1 V

R = 0.1 Ω

Therefore,

[tex]10.1\ V = I(0.1\ \Omega)\\\\I = \frac{10.1\ V}{0.1\ \Omega}[/tex]

I = 101 A    

A 1.2-kg mass is projected from ground level with a velocity of 31.3 m/s at some unknown angle above the horizontal. A short time after being projected, the mass barely clears a 16-m tall fence. Disregard air resistance and assume the ground is level. What is the kinetic energy of the mass as it clears the fence

Answers

Answer:

The kinetic energy will be "399.65 J".

Explanation:

Given:

Mass,

m = 1.2 kg

Velocity,

v = 31.3 m/s

The total energy of mass will be:

⇒ [tex]E=K+U[/tex]

or,

⇒ [tex]E=.5mv^2+mgh[/tex]

By putting the values, we get

        [tex]=.5(1.2)(31.3)^2+0[/tex]

        [tex]=0.6\times 979.69+0[/tex]

        [tex]=587.81 \ J[/tex]

Since,

The system's total energy is unchanged, then

⇒ [tex]E=K+U[/tex]

or,

⇒ [tex]E=K+mgh[/tex]

   [tex]587.81=K+1.2(9.8)(16)[/tex]

   [tex]587.81=K+188.16[/tex]

          [tex]K=587.81-188.16[/tex]                

               [tex]=399.65 \ J[/tex]

A pendulum that was originally erected by Foucault at the Pantheon in Paris for the Paris Exhibition in 1851 was restored in 1995. It has a 28.0 kg sphere suspended from a 67.0-m light cable. If the amplitude of the swing is 5.00 m, what is the maximum speed of the sphere

Answers

Answer:

13.1 m/s

Explanation: Given that a pendulum that was originally erected by Foucault at the Pantheon in Paris for the Paris Exhibition in 1851 was restored in 1995. It has a 28.0 kg sphere suspended from a 67.0-m light cable. If the amplitude of the swing is 5.00 m, what is the maximum speed of the sphere

The formula to use is :

W = sqrt ( L/g )

Where

L = 67m

g = 9.8m/s^2

A = 5m

Substitute all the parameters into the formula

W = sqrt ( 67 / 9.8 )

W = 2.6

To get the maximum velocity, we use the below formula.

V = wA

V = 2.6 × 5

V = 13.07 m/s

Therefore the maximum speed of the sphere is 13.1 m/s approximately.

5. Which of the following is velocity? *
2 points
A. 20 m/s
B. 40 m/s east
C. 40 m
D. 20 m

Answers

A. 20m/s because the unit for velocity is m/s

example of nuclear fission and nuclear fusion​

Answers

Answer:

In fission, energy is gained by splitting apart heavy atoms, for example uranium, into smaller atoms such as iodine, caesium, strontium, xenon and barium, to name just a few. However, fusion is combining light atoms, for example two hydrogen isotopes, deuterium and tritium, to form the heavier helium.

Explanation:

I hope this helped you

(Sorry If it didn't)

What happens to matter when it reaches absolute zero?
A. Its particles speed up.
O B. Its particles have no kinetic energy.
O C. Its particles vibrate slightly.
D. Its particles gain kinetic energy.

Answers

Explanation:

It will be B.Its particles have no kinetic energy.

Questions on the photo

Answers

Answer:

Option C: Third Class

Explanation:

This is third class because the effort or the input force is in the middle between the fulcrum and the load.

To solve this, we must be knowing each and every concept related to lever.  Therefore,  due to the effort or input force being in the center between the edge as well as the load, the supplied lever is of 3rd class. The correct option is option C.

What is lever?

A lever is a basic device that consists of a beam or stiff rod located at a set tight, or edge. It is used to apply force to a load and often offers a mechanical advantage.

A stiff object that can rotate about a spot on itself is called a lever. The three types of levers are categorized according to where the edge, weight, and effort are located. Due to the effort or input force being in the center between the edge as well as the load, the supplied lever is of  3rd class.

Therefore,  the correct option is option C.

To learn more about lever, here:

https://brainly.com/question/2860526

#SPJ2

Two particles, with charges of 20.0 nC and -20.0 nC, are fixed at points with coordinates <0, 4.00 cm> and <0, -4.00 cm>. A particle with charge 10.0 nC is fixed at the origin. (a) Find the electric potential energy of the configuration of the three fixed charges. (b) A fourth particle, with a mass of 2.00 x 10-13 kg and charge of 40.0 nC, is released from rest at the point <3.00 cm, 0>. Find its speed after it has moved freely to a very large distance away.

Answers

Answer:

Explanation:

Potential energy of the system of charges

=  9 x 10⁹ x [  q₁q₂ / r₁₂ +  q₂q₃ / r₂₃ +  q₁q₃ / r₁₃ ]

here  r₁₂ ,  r₂₃ , r₁₃ are distance between 1 st and 2 nd charge , 2 nd and 3 rd charge and fist and third charge.

r₁₂ = 8 cm , r₂₃ = 4 cm , r₁₃ = 4 cm.

q₁ = 20 x 10⁻⁹ C , q₂ = - 20 x 10⁻⁹ C , q₃ = 10 x 10⁻⁹ C

Potential energy  =  9 x 10⁹ x [ - 400 x 10⁻¹⁸ / .08  +  -200x10⁻¹⁸ / .04 +  200 x 10¹⁸ / .04 ]

= 9 x 10⁹  x  - 400 x 10⁻¹⁸ / .08

= 45 x 10⁻⁶ J .

b)

Potential at the point of fourth charge due to three charges of 20 nC , - 20 nC and 10 nC at the centre

9 x 10⁹ [ 20 x 10⁻⁹ / .05 + - 20 x 10⁻⁹ / .05 + 10 x 10⁻⁹ / .03 ]

= 9 x 10⁹ x 10 x 10⁻⁹ / .03

= 3000 V .

potential energy of fourth particle = charge x potential

= 3000 x 40 x 10⁻⁹ = 12 x 10⁻⁵ J .

kinetic energy at infinity = 12 x 10⁻⁵ J

1/2 m v² = 12 x 10⁻⁵ J

.5 x 2 x 10⁻¹³ x v² = 12 x 10⁻⁵

v² = 12 x 10⁸

v = 3.46 x 10⁴ m/s

= 9 x 10⁹

Would you be more concerned if something you consider precious went through a
chemical change or a physical change? Why?

Can somebody help me please!

Answers

Answer:

Explanation:

A chemical change.

Usually those are irreversible. Or they may be reversible, but the form they take may leave your object not the same as they started out.

A physical change might be just as deadly. If the object melted like a chocolate Easter Bunny then the object would be irreversible as well. Take a better example.

Suppose you are talking about a Gold Coin. If you heated it so it melted, the gold would retain its value, but the fact that it is a coin and valuable as such, means that it has lost that part of its value.

I really don't know. My instincts tell me that the chemical change is more dangerous, but I can't rule out the other choice..

Positive electric charges are always attracted to ________ charges.

Answers

Answer:

Negative electric charges

A box has a mass of 3 kg. The box is lifted from the floor and placed
on a shelf. If the box gains a Potential Energy of 100 J, then how high
is the shelf?
a 2.34 m
b 1.20 m
C 1.50 m
d 3.40 m
HALP

Answers

Explanation:

Potential energy=MGH

100=3×10×H.

H=100/30

H=3.40m

What is reflection of light

Answers

Answer: When a ray of light approaches a smooth polished surface and the light ray bounces back, it is called the reflection of light. The incident light ray which lands upon the surface is said to be reflected off the surface. The ray that bounces back is called the reflected ray.

Have a great day and stay safe !

A grassland ecosystem (ecosystem X) supports 13 different grass species. A different grassland ecosystem (ecosystem Y) supports just one species of grass. Bison graze on all of the grass species in both of these ecosystems. Ecosystem X 13 species of grass Ecosystem Y 1 species of grass A drought strikes both ecosystem X and ecosystem Y, but the bison in ecosystem X are better able to survive it. Which of the following is a likely explanation? A. The bison in ecosystem X only eat one species of grass. B. Ecosystem Y has a greater amount of biomass. C. Ecosystem X has a greater amount of biodiversity. D. Ecosystem Y has a greater amount of biodiversity.

Answers

Answer:

Explanation:

Choices are:

A. The bison in ecosystem X only eat one species of grass.

B. Ecosystem Y has a greater amount of biomass.

C. Ecosystem X has a greater amount of biodiversity.

D. Ecosystem Y has a greater amount of biodiversity.

If grass species are drought-resistant, then they will allow the bison to continue feeding on them.  X has more species (13) so it is more likely to have some drought-resistant grass.

Answer is C. Ecosystem X has a greater amount of biodiversity.

The bison in ecosystem X are better able to survive the drought because ecosystem X has a greater amount of biodiversity. Option (C) is correct.

What is biodiversity?

Biodiversity is the variety of living things found in various habitats, such as terrestrial, marine, and desert ones, as well as the ecological groups to which they belong.

The variety of creatures present in an ecosystem, as well as their relative abundances, is referred to as biodiversity. It also depicts the various stages of organismal organization.

In ecosystem X, 13 different grass species present and in ecosystem Y 1 species of grass present, that is,  ecosystem X has a greater amount of biodiversity. So, during  the drought, the bison in ecosystem X are better able to survive.

Learn more about biodiversity here:

https://brainly.com/question/23101752

#SPJ2

Other Questions
The length of segment PK is 4 units and the length of segment PQ is 2 units. What is the approximateperimeter of shaded triangle PQLA 10.0 unitsB 9.5 unitsC 9.0 unitsD 8.5 units A statement of opinion that needs to be proven in order to show that it is trueSelect one:FactsubjectClaimEvidence There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get? (enter your answer as a fraction or mixed number)Write a number sentence that represents the problem. A school has found from past records that the average scores for boys is 75 in a sample of 45 boys, and the average scores for girls is 85 in a sample of 30 girls. The population standard deviations for boys' and girls' scores were 25 and 17, respectively. The 90% confidence interval for the difference of the population means is approximately (_____, 2.022). Assume that the distributions of the scores of men and women are normally distributed. Round your answer to two decimal places.Confidence Level Corresponding zc Value90% confidence zc=1.64595% confidence zc=1.9699% confidence zc=2.576 A shirt cost $21 last month. This month the price decreased by 30%. What is the new price? NEED HELP ASAP QUESTION IN PHOTO Alex is making a blanket for her nephew. The blanket has a length of 5 ft and a width of 4 ft. She is going to sew ribbon edging around the perimeter of the blanket. The edging costs $3 per yard. How much will it cost for Alex to get the amount of ribbon edging that she needs? Help Resa 5 ft Skip 4 ft 4 ft 5 ft HINT: There are 3 feet in one yard. Help ill make you brainliest A group of particles is traveling in a magnetic field of unknown magnitude and direction. You observe that a proton moving at 1.50 km/s in the +x-direction experiences a force of 2.25 \times 10^{-16} N2.2510 16 N in the +y-direction, and an electron moving at 4.75 km/s in the -z-direction experiences a force of 8.50 \times 10^{-16} \mathrm{N}8.5010 16 N in the +y-direction. (a) What are the magnitude and direction of the magnetic field? (b) What are the magnitude and direction of the magnetic force on an electron moving in the -y-direction at 3.20 km/s? What are three other good character traits that entitlement contradicts? Easy Question giving 80 points what is the median of 7,4,3,5,6,5 1. What does Rashad say he was always good at growing up?A. Dancing B. Writing lyricsC. Running D. Playing Basketball Explain Megs tessering experience? In A wrinkle of time. Oh and plz give me page number, chapter, and paragraph. Please anyone help me Find the area of the figure. Help I need help on this PLEASE HELP DUE TODAY !!!!!!!!! When you know the person who will make up the audience for a business letter, your purpose, and your central idea, you want to take all of the following into considerationEXCEPT:1. What common concerns do you and the audience share?2. What personal information can you find out about your audience?3. What questions will your audience have?4. What are the worries and concerns of the audience? Find correct answer please Mr. Gephart is traveling from his house to the history museum. How many meters will he travel to the museum? The distance from home to the history museum is six and seven-tenths kilometers.