During a workout, a football player pushes a blocking dummy a distance of 30 m. While pushing the dummy the same distance a second time, what would the player need to change to be certain that power output increases?

Answers

Answer 1

Explanation:

Power = work / time

Work = force × distance

Therefore:

Power = force × distance / time

Since the distance is the same, he would have to either increase the force he exerts or decrease the time (increase his velocity) in order to increase the amount of work done.

Answer 2

Answer:

The correct answer is B) The player would need to use a greater force and take less time.

Explanation:

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Related Questions

calculate the acceleration of an apple of mass 200gm,when it falls towards earth.also find the acceleration of the earth towards the apple.(given mass of earth=6*10^24 kg& radius of earth= 6.64*10^6m)​

Answers

Answer: [tex]a_{apple}=9.082m/s^{2}[/tex], [tex]a_{Earth}=3.027(10)^{-25}m/s^2[/tex]

Explanation:

According to Newton’s law of universal gravitation, which is a classical physical law that describes the gravitational interaction between different bodies with mass:  

[tex]F=G\frac{Mm}{r^2}[/tex] (1)

Where:  

[tex]F[/tex] is the module of the force exerted between the apple and the Earth

[tex]G=6.674x10^{-11}\frac{m^{3}}{kgs^{2}}[/tex] is the universal gravitation constant.  

[tex]M=6(10)^{24}kg[/tex] is the mass of the Earth and [tex]m=200g=0.2kg[/tex] is the mass of the apple

[tex]r=6.64(10)^{6}m[/tex] is the distance between the apple and the Earth (assuming tha apple is near the surface of the Earth)

On the other hand, according Newton's 2nd Law of Motion the force [tex]F[/tex] is directly proportional to the mass [tex]m[/tex] and to the acceleration [tex]a[/tex] of a body.  

So, in the case of the apple:  

[tex]F=m.a_{apple}[/tex] (2)

[tex]a_{apple}=\frac{F}{m}[/tex] (3)

Substituting [tex]F[/tex] (1) in (3):

[tex]a_{apple}=\frac{F}{m}=G\frac{M}{r^2}[/tex] (4)

[tex]a_{apple}=6.674x10^{-11}\frac{m^{3}}{kgs^{2}}\frac{6(10)^{24}kg}{(6.64(10)^{6}m)^2}[/tex] (5)

[tex]a_{apple}=9.082m/s^2[/tex] (6)

Now, in the case of the Earth:  

[tex]F=M.a_{Earth}[/tex] (7)

[tex]a_{Earth}=\frac{F}{M}[/tex] (8)

Substituting [tex]F[/tex] (1) in (8):

[tex]a_{Earth}=\frac{F}{M}=G\frac{m}{r^2}[/tex] (9)

[tex]a_{Earth}=6.674x10^{-11}\frac{m^{3}}{kgs^{2}}\frac{0.2kg}{(6.64(10)^{6}m)^2}[/tex] (10)

[tex]a_{Earth}=3.027(10)^{-25}m/s^2[/tex] (11)

As we can see, the acceleration of the apple towards the Earth is greater than the acceleration of the Earth towards the apple (although the gravitational force between them is the same), because the mass of the Earth is greater than the mass of the apple.

give two mathematical examples of Newton's third law and how you get the solution​

Answers

Answer:

1) Any particle moving in a horizontal plane slowed by friction, deceleration = 32 μ

2) The particle moving by acceleration = P/m - 32μ OR The external force = ma + 32μm

Explanation:

* Lets revise Newton’s Third Law:

- For every action there is a reaction, equal in magnitude and opposite

 in direction.

- Examples:

# 1) A particle moving freely against friction in a horizontal plane

- When no external forces acts on the particle, then its equation of

  motion is;

∵ ∑ forces in direction of motion = mass × acceleration

∵ No external force

∵ The friction force (F) = μR, where μ is coefficient of the frictional force

   and R is the normal reaction of the weight of the particle on the

   surface

∵ The frictional force is in opposite direction of the motion

∴ ∑ forces in the direction of motion = 0 - F

∴ 0 - F = mass × acceleration

- Substitute F by μR

∴ - μR = mass × acceleration

∵ R = mg where m is the mass of the particle and g is the acceleration

  of gravity

∴ - μ(mg) = ma ⇒ a is the acceleration of motion

- By divide both sides by m

∴ - μ(g) = a

∵ The acceleration of gravity ≅ 32 feet/sec²

∴ a = - 32 μ

* Any particle moving in a horizontal plane slowed by friction,

 deceleration = 32 μ

# 2) A particle moving under the action of an external force P in a

  horizontal plane.

- When an external force P acts on the particle, then its equation

 of motion is;

∵ ∑ forces in direction of motion = mass × acceleration

∵ The external force = P

∵ The friction force (F) = μR, where μ is coefficient of the frictional force

   and R is the normal reaction of the weight of the particle on the

   surface

∵ The frictional force is in opposite direction of the motion

∴ ∑ forces in the direction of motion = P - F

∴ P - F = mass × acceleration

- Substitute F by μR

∴ P - μR = mass × acceleration

∵ R = mg where m is the mass of the particle and g is the acceleration

  of gravity

∴ P - μ(mg) = ma ⇒ a is the acceleration of motion

∵ The acceleration of gravity ≅ 32 feet/sec²

∴ P - 32μm = ma ⇒ (1)

- divide both side by m

∴ a = (P - 32μm)/m ⇒ divide the 2 terms in the bracket by m

∴ a = P/m - 32μ

* The particle moving by acceleration = P/m - 32μ

- If you want to fin the external force P use equation (1)

∵ P - 32μm = ma ⇒ add 32μm to both sides

∴ P = ma + 32μm

* The external force = ma + 32μm

felix expends 100 W of power to clomb 10 meters in 20 seconds how much force does he exert

Answers

Answer:

200 N

Explanation:

Power = work / time

Work = force × distance

Therefore:

Power = force × distance / time

100 W = F × 10 m / 20 s

F = 200 N

He exerted 200 N.

Answer:

200 N

Explanation:

A cylindrical piece of aluminium is 6.00 cm tall and 2.00 cm in radius. How much does it weight ​

Answers

Answer:

2.00 N

Explanation:

The weight is the mass times gravity:

W = mg

The mass is the density times volume:

m = ρV

The volume of a cylinder is:

V = πr²h

Therefore:

W = π r² h ρ g

Given r = 2.00 cm, h = 6.00 cm, ρ = 2.70 g/cm³, and g = 9.8 m/s²:

W = π (2.00 cm)² (6.00 cm) (2.70 g/cm³) (1 kg / 1000 g) (9.8 m/s²)

W = 2.00 N


The photons of different light waves:
contain the same amount of energy.
operate at the same frequency.
contain different amounts of energy.
are created through the separation of protons from the nucleus of an atom.

Answers

Answer: contain different amounts of energy

Explanation:

The energy [tex]E[/tex] of a photon is given by:

[tex]E=h\nu[/tex]

Where:

[tex]h=6.626(10)^{-34}\frac{m^{2}kg}{s}[/tex] is the Planck constant

[tex]\nu[/tex] is the frequency of the light which is inversely related to the wavelength.

Now, if we have photons of different light waves, this means we have photons with different frequencies.

As the energy of the photon depends on its frequency:

Photons of different light waves contain different amounts of energy.

Photons of different light waves carry different amounts of energy that are proportional to their frequency.

Photons of different light waves contain different amounts of energy. The energy of a photon is proportional to its frequency. A high-frequency wave carries higher energy photons, while a low-frequency wave carries lower energy photons.

Will the sun ever burn out

Answers

Answer: Yes

Explanation: The Sun like all other stars will eventually go through nuclear fusion. But for a very long time (about 5 billion years) When it does it is more than likely that it will consume the earth as the sun will expand very larger during the process and become a red giant.

The Sun will 'burn out' over a timeline of billions of years as it exhausts its hydrogen fuel, eventually expanding into a red giant and later leaving behind a cooling white dwarf.

The Sun, which has been shining for about 4.5 billion years, radiates an immense amount of energy due to nuclear fusion occurring in its core. This process involves fusing hydrogen atoms into helium, releasing energy in the form of light and heat. However, the Sun's hydrogen fuel is finite and will eventually be exhausted. In roughly 5 billion years, the Sun will expand into a red giant, engulfing the inner planets. Subsequently, it will shed its outer layers and leave behind a white dwarf. The transition to a red giant will mark the end of the Sun's ability to support life on Earth as we know it. As this white dwarf cools over billions of years, the Sun will indeed 'burn out,' but over a timeline that greatly surpasses human history. Hence, the fate of the Sun is to ultimately cease shining, but this eventuality lies far in our planet's future.

A load of 600N is raised by an effort of 2000
by using I meter long crowbar. If the lod is
20cm away from the fulcrum, what is the
efficiency of the crow-bar?​

Answers

Answer:

75%

Explanation:

I assume the effort is 200 N, not 2000.

The load is 20 cm from the fulcrum, and the crowbar is 1 m long, so the effort is applied 80 cm from the fulcrum.  So the theoretical load that can be raised is:

20 cm × F = 80 cm × 200 N

F = 800 N

But the actual load is 600 N.  So the efficiency is:

e = 600 N / 800 N

e = 0.75

The efficiency of the crowbar is 75%.

the weigth of a body decrease in a coal mine why?​

Answers

Answer

Gravitational force is between two object caused by energy in mass. Here when you are in a mine the radius of the earth in case of calculating gravity is reduced to the length between you and the center.

This means the mass of earth is decreasing even though the distance is decreasing. Relative to the decrease in distance squared the decrease in the mass of the second object(earth) is more. As a result your weight decreases.

Answer:

Explanation: that means as you descend into the earth, all of the mass in all the shells above you gets canceled. If the centre of the earth were not molten iron, but instead hollowed out, you would be weightless inside.

The physics problem is actually a little more general. It applies to inverse square force laws such as the electrical force. So if you put an electron inside a positively or negatively charged sphere, it will also have a net force on it of zero.

Which of the following is an example of an indirect observation?
a. A scientist counts the exact number of snakes in a field.
b. scientist traps fish and
estimates the population of male and female fish based on the ratios of fish he trapped.
c. A scientist counts every frog in a pond.

Answers

Answer:

B

Explanation:

The other two choices are exact. B is estimating and giving an indirect observation.

b. scientist traps fish and  

estimates the population of male and female fish based on the ratios of fish he trapped.

The key word is estimate. Estimate means that he gives a rough number. There aren't exactly that number of fish.

A. and C. are both exact numbers because the scientists manually count each one. This means these are direct observations, and therefore not the answer.

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i) sin^2 A sec^2 B + tan^2 B cos^2 A = sin^2A + tan²B​

Answers

Explanation:

sin² A sec² B + tan² B cos² A

A good first step is to write everything in terms of sine and cosine.

sin² A / cos² B + sin² B cos² A / cos² B

The fractions have the same denominator, so combine into one:

(sin² A + sin² B cos² A) / cos² B

Using Pythagorean identity, we can rewrite sin² B as 1 − cos² B:

(sin² A + (1 − cos² B) cos² A) / cos² B

Distribute:

(sin² A + cos² A − cos² B cos² A) / cos² B

Pythagorean identity:

(1 − cos² B cos² A) / cos² B

Now divide into two fractions again:

1 / cos² B − cos² B cos² A / cos² B

Simplify:

sec² B − cos² A

Using Pythagorean identity again:

(tan² B + 1) − (1 − sin² A)

tan² B + 1 − 1 + sin² A

tan² B + sin² A

A 150 g egg is dropped from 3.0 meters. The egg is
moving at 4.4 m/s right before it hits the ground The egg
comes to a stop in 0.072 seconds.
What is the magnitude of force that the ground exerted on
the egg?
0.66 N
9.2N
13N
180 N​

Answers

Answer:

9.2 N

Explanation:

F = ma

F = m Δv / Δt

F = (0.150 kg) (4.4 m/s − 0 m/s) / 0.072 s

F = 9.2 N

Answer:

9.2Newtons

Explanation:

Just got it right on edg

Three resistances 2 ohm ,3ohm and 5 ohm are connected in parallel and a
potential difference of 20V is applied across the terminals of
combination. The potential difference across 3 ohm resistance is:​

Answers

The potential difference across 3 Ohm resistor is 20V.

The resistors are connected in parallel which means all the three resistances have a fully potential difference of 20V.

which force keeps and object moving in a circle?​

Answers

Answer:

Centripetal force

Explanation:

Centripetal force acts on an object moving in a circle.  It points towards the center of the circle and has a magnitude equal to m v² / r, where m is the object's mass, v is the object's velocity, and r is the radius of curvature.

How can a force change the motion of an object that is already moving?

Answers

Answer:They may cause motion to change

Explanation:They may cause motion; they may also slow, stop, or change the direction of motion of an object that is already moving. Since force cause changes in the speed or direction of an object, we can say that forces cause changes in velocity. Remember that acceleration is a change in velocity.

Final answer:

A force can change the motion of an object that is already moving by altering its velocity or direction.

Explanation:

A force can change the motion of an object that is already moving by altering its velocity or direction.

If a force is applied in the same direction as the object's motion, it can increase its speed. For example, pushing a car that is already moving will make it go faster.

If the force is applied in the opposite direction to the object's motion, it can decrease its speed or even bring it to a stop. For example, dragging your feet on the ground while riding a bicycle will slow you down.

Learn more about Motion and Forces here:

https://brainly.com/question/24980015

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The direction of deflection of an electron beam in a magnetic field can be determined by which of the following?
Biot-Savart Law
Coulomb’s Law
Right Hand Rule
Ohm’s Law

Answers

Answer:

Right Hand Rule

Explanation:

When a charged particle travels in a magnetic field, it experiences a force whose magnitude is given by:

[tex]F=qvBsin\theta[/tex]

where

q is the charge of the particle

v is the velocity

B is the magnetic field strength

[tex]\theta[/tex] is the angle between the directions of v and B

The direction of the force can be determined by using the Right Hand Rule, as follows:

- index finger: this should be put in the direction of the velocity

- middle finger: this should be put in the direction of the magnetic field

- thumb: this will give the direction of the force -> however, for a negative charge (as the electron) the direction must be reversed, so it will be opposite.

Answer:

right hand rule

Explanation:

what is the distance from The sun to Jupiter?

Answers

The distance between the Sun and the Jupiter is nearly 779 million kilometer.

Explanation:

Jupiter is approximately 778.5 million kilo meter from the Sun, it is in approximation of 484 million miles. To be exact in separating distance between the two, it is 778547200 kilo meters.

The distance measured is an average taken due to the elliptical path undertaken by the planet for its planetary motion around the Sun, according to the Kepler’s law of planetary motion.

what is conduction ?

Answers

Explanation:

the process by which heat or electricity is directly transmitted through the material of a substance when there is a difference of temperature or of electrical potential between adjoining regions, without movement of the material.

Final answer:

Conduction is the process of transferring heat through direct contact between two objects at different temperatures, as seen when you hold a glass of ice water or cook a steak on a skillet.

Explanation:

Conduction is the process of heat transfer through stationary matter by means of physical contact. Heat essentially moves from a higher temperature region to a lower temperature one within the material. It's the same mechanism at play when an electric burner transfers heat to the bottom of a pan, where the particles in the pan attain energy from the particles of the burner by direct contact.

A common experience with conduction is when you hold a glass of ice water and the heat from your hand is transferred to the glass, subsequently melting the ice.

Conduction is also a key process during cooking when, for example, a steak absorbs heat from a hot iron skillet. In both scenarios, heat is conveyed by the energetic motion and collision of particles from a warmer body (the hand or the skillet) to a colder one (the glass or the steak)

Who were the first people on the moon?

Answers

Answer:

Neil Armstrong and Pilot Buzz Aldrin.

Explanation:

Neil Armstrong and Pilot Buzz Aldrin were the first people on the moon.

This happened on July 20, 1969, at 8:17.

give the formula for average velocity​

Answers

Explanation:

Average velocity = change in position over change in time.

v = (x − x₀) / t

Final answer:

Average velocity is defined as the displacement divided by the time of travel.

Explanation:

Average velocity is defined as the displacement (change in position) divided by the time of travel. It can be calculated using the formula:



Average velocity = Displacement / Time



For example, if an object moves 100 meters and takes 10 seconds to do so, the average velocity would be 10 meters per second.

the pressure of a gas always decreases with decreasing temperature I need it for apex

a. true
b. false​

Answers

False. If you increase the temperature, the pressure will increase as well.

You've already seen the value of 9.8 in this lesson. What's this value called? What quantity does it represent?​

Answers

Answer:

The value 9.8 corresponds to g, the acceleration due to gravity in SI units.

Explanation:

This is the answer on Edmentum. :)

The acceleration due to gravity on earth is also known as the value of g on earth is 9.8 m/s2.

How do you get acceleration due to gravity in SI units?

Its SI unit is m / s2. It has both magnitude and direction, therefore, a vector value. Acceleration due to gravity is represented by g. The average g g surface at sea level is 9.8 m / s2.

Is the gravity of 9.8 N?

The gravitational force of gravity weighing 1 kg on Earth is 9.8 N. Another way to put that is the gravitational force on the Earth's surface is 9.8 N / kg.

Learn more about acceleration due to gravity here: https://brainly.com/question/88039

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a mango falls fromthe top its tree passing a window which is 2.4m tall by taking 0.4s

if the top corner of the window was 3m above the ground, calculate the height of the mango tree.
(assume that the tree is above the window)

I have already got the answers with me but I need the steps.. (ANSWER.h=3.8m)

help me and I'll make u brainliest ​

Answers

Explanation:

There are three points in time we need to consider.  At point 0, the mango begins to fall from the tree.  At point 1, the mango reaches the top of the window.  At point 2, the mango reaches the bottom of the window.

We are given the following information:

y₁ = 3 m

y₂ = 3 m − 2.4 m = 0.6 m

t₂ − t₁ = 0.4 s

a = -9.8 m/s²

t₀ = 0 s

v₀ = 0 m/s

We need to find y₀.

Use a constant acceleration equation:

y = y₀ + v₀ t + ½ at²

Evaluated at point 1:

3 = y₀ + (0) t₁ + ½ (-9.8) t₁²

3 = y₀ − 4.9 t₁²

Evaluated at point 2:

0.6 = y₀ + (0) t₂ + ½ (-9.8) t₂²

0.6 = y₀ − 4.9 t₂²

Solve for y₀ in the first equation and substitute into the second:

y₀ = 3 + 4.9 t₁²

0.6 = (3 + 4.9 t₁²) − 4.9 t₂²

0 = 2.4 + 4.9 (t₁² − t₂²)

We know t₂ = t₁ + 0.4:

0 = 2.4 + 4.9 (t₁² − (t₁ + 0.4)²)

0 = 2.4 + 4.9 (t₁² − (t₁² + 0.8 t₁ + 0.16))

0 = 2.4 + 4.9 (t₁² − t₁² − 0.8 t₁ − 0.16)

0 = 2.4 + 4.9 (-0.8 t₁ − 0.16)

0 = 2.4 − 3.92 t₁ − 0.784

0 = 1.616 − 3.92 t₁

t₁ = 0.412

Now we can plug this into the original equation and find y₀:

3 = y₀ − 4.9 t₁²

3 = y₀ − 4.9 (0.412)²

3 = y₀ − 0.83

y₀ = 3.83

Rounded to two significant figures, the height of the tree is 3.8 meters.

Which is not a factor in a fossil organism being useful as an index fossil? It must have lived through a long span of time. It must be widespread geographically. It must be abundant. It must be limited to a short span of geologic time.

Answers

Answer:

it must have lived through a long span of time

Answer:Option (1)

Explanation: Index fossil are those fossils that appears for a very short period of time in the geological time scale and has a wide geographical distribution. For example, Ammonites.

Index fossils are a good source for rock age determination and also it helps in the correlation of rocks.

Thus, the correct answer is option (1).

A coin of mass .005 kg dropped from a height of 3 m. How much potential energy does it have right before it hits the ground? Assume there is no air resistance. Acceleration due to gravity is g=9.8 m/s2

Answers

Final answer:

The potential energy of a 0.005 kg coin dropped from a height of 3 m, right before it hits the ground, can be calculated using the formula PE = mgh. The calculated potential energy is 0.147 joules.

Explanation:

To calculate the potential energy of the coin right before it hits the ground, we need to use the formula for gravitational potential energy, which is PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height from which the object falls.

In this scenario:

Mass (m) of the coin = 0.005 kg

Acceleration due to gravity (g) = 9.8 m/s²

Height (h) from which the coin is dropped = 3 m

Substituting these values into the formula, we get:

PE = (0.005 kg) × (9.8 m/s²) × (3 m)

PE = 0.147 J

Therefore, the potential energy of the coin right before it hits the ground is 0.147 joules.

Suppose a 1.2 m antenna is installed on top of a building that is 225 m tall,
What is the new total height of the building, including the antenna, expressed
with the correct number of significant figures?

Answers

Answer: 226.2 m

Explanation:

If we want to find the new total height [tex]H[/tex] of the building, we have to add to its initial height [tex]h_{B}=225m[/tex] the height of the antenna [tex]h_{A}=1.2m[/tex], as follows:

[tex]H=h_{B}+h_{A}[/tex]

[tex]H=225m+1.2m[/tex]

Then:

[tex]H=226.2m[/tex] This is the new total height of the building.

During a storm, thunder is heared 7s after the lightining is seen. If the temperature of the air at the time of the storm is 28°C .how far away is the storm?​

Answers

Answer:

2 meters

Explanation:

time is directly proportional to temperarure where distance is the constant k

therefore

T = t x 2a

28=7 x 2a

28= 14a

a=2m

Answer:

2440 m

Explanation:

The speed of light in air is approximately 3×10⁸ m/s.

The speed of sound in air at 28°C is approximately:

v = 331.4 m/s + 0.6 m/s/°C (28°C)

v = 348.2 m/s

Let's say the distance between you and the storm is x.

Distance = speed × time

x = 3×10⁸ t₁

x = 348.2 t₂

Since t₂ = t₁ + 7:

x / 348.2  = x / 3×10⁸ + 7

Solving for x:

x (1/348.2 − 1/(3×10⁸)) = 7

x = 2440

The storm is approximately 2440 meters away (round as needed).

Witch of the statements about water is true?

Answers

There are no true statements on the list you posted.

How much would a 50-kg object weigh on Mercury (gravity on Mercury is 3.59 m/s2)?
A. 13.9 N
B. 179.5 N
C. 310.5 N
D. 490.0 N

Answers

Answer:

B. 179.5 N

Explanation:

Weight is mass times acceleration due to gravity:

W = mg

W = (50 kg) (3.59 m/s²)

W = 179.5 N

What happens to the frequency of a wave if its energy increases?
A.
The frequency and energy of a wave are not related.
B.
The frequency of the wave increases.
C.
The frequency of the wave decreases.
D.
The frequency constantly varies.

Answers

Explanation:

the frequency of the wave increase is the right answer

Caroline conducts research on how the amount of fiber in a student's breakfast affects their grades in school. How should she represent her data?

data table and line graph

data table and bar Graph

data table with no graphc

neither a data table nor a graph

Answers

Answer:

data table and line graph ( first choice)

Answer:

data table and line graph

Explanation:

The data table would consist of the amount of fiber that a student consumes in one column and the grade of the student. So, here the independent variable is amount of fiber that a student consumes and the dependent variable is the grade of the student. The x axis of the graph represents the amount of fiber that a student consumes and the y axis represents the grade of the student.

The line in a graph represents the relationship between the variables of the graph.

Other Questions
60. The label on a box of cereal gives the mass of cereal in two units: 978 grams and 34.5 oz. Use this information to find a conversion factor between the English and metric units. How many significant figures can you justify in your conversion factor? h(x) = 3x - 4What is h(6)?ET. 14e c. 22SUBMIT find the value of x if A, B and C are collinear points and B is between A and C. AB= 6x, BC= x-5, AC= 23 An object is launched from a platform.Its height (in meters), x seconds after the launch, is modeled byh(x)=-5(x+1)(x-9)What is the height of the object at the time of launch?_________ metersPlease answer as soon as possible please! You3 hospitalized patient is exhibiting the symptoms that he is experiencing a fat embolism. Your priority nursing actions is to?a. administer oxygen.b. Assessing his vital signs.c. Notify the health care provider (HCP).d. Administer IV fluids. Suppose line n has a slope of 5/7 and passes through (4,8). what is the equation for n in point-slope form? Write a conditional expression that assign the value 0 to a credits variable if it is less than 0; otherwise the value of the credits variable remains unchanged. If you are given the graph of h(x)=log(6)x, how could you graph m(x)=log(6)(x+3)? Translate each point of the graph of h(x) 3 units up. Translate each point of the graph of h(x) 3 units down. Translate each point of the graph of h(x) 3 units right. Translate each point of the graph of h(x) 3 units left. What are the solutions to x2 + 8x + 7 = 0?A.x= -8 and x = -7B.x=-7 and x = -1C.x= 1 and x = 7D.x= 7 and x = 8 The main point Paine makes in paragraph 4 of Common Sense is thatSelect one:a. the economy of the colonies is dependent on Great Britain.b. the colonies have the resources to thrive independently of Great Britain.c. the colonies will always be dependent on the resources of other countries.d. the colonies' past dependence on Great Britain is crucial to their future growth. Which expression is equivalent to (4 ^5/4 times 4^1/2 divided by 4^1/2) x2 + 2x2 + 3x + 6Factor 8 lbs of cashew nuts cost $32. What is the cost of one pound? 40. Which of the following statements regarding substrate-level phosphorylation is correct?a. Does not involve phosphate transferb. Does not produce ATPc. Depends one distinct enzyme typed. Occurs twice in glycolysis HURRY FAST I NEED THE CORRECT ANSWER AND ILL GIVE 30 POINTS PLUS BRAINLIEST !!!!!!Read the sample student claim and counterclaim.Claim: Although many people argue that medical testing on animals is a violation of animal rights, the benefits it yields for society far outweigh any argument that can be made.Counterclaim: There are safer and more accurate ways to test medications without using animals.What evidence would most weaken the counterclaim presented here?A. The physiologies of humans and some animals are very similar, so the reactions of these creatures to certain medications are the most reliable guide to the possible reactions of human patients.B. Scientists are more easily able to control an animals environment, such as diet and temperature, than they are that of humans, which makes the tests far more reliable than alternative methods.C. Animals have emotions and can feel pain much as humans do, which is why I feel that it is cruel to subject these vulnerable creatures to unfair tests that we are unwilling to conduct on humans.D. If we ban testing on animals for medical research that could save lives, then it also must be made illegal to hunt and kill animals simply because we would like to include meat in our daily diets 1,547.489 which digit is in the ten place When 12-year-old Jamilah saw an old man lying on the sidewalk, he prepared to offer help. But when he noticed several adults walk past the man, he concluded that the man did not need any help. His reaction most clearly illustrates one of the dynamics involved in Determine the total impedance of an LRC circuit connected to a 10.0- kHz, 725-V (rms) source if L = 36.00 mL, R = 10.00 k, and C = 5.00 nF. It is July 1, and Eduardo wants to purchase an engagement ring for his soon-to-be fiance. He visits several jewelry stores and finds the perfect ring. The cost of the ring is $1,800. Eduardo doesn't want to put the purchase on a credit card, so he decided to put the ring on layaway. Since he needs the ring in 6 months so that he can propose on New Years Eve, he agrees to pay the store $300 per month. Since Eduardo knows exactly how much money he needs to pay each month, this is a(n) __________ goal A grasshopper floating in water generates waves at a rate of three per second with a wavelength of two centimeters. (a) What is the period of these waves? (b) What is the wave velocity?