I need help with my work

I Need Help With My Work

Answers

Answer 1

xplanation:

A swinging edndulum bob performs a simple harmonic motion under the influence of the gravity of the earth. In simple harmonic motion, the restoring force acts on the displaced mass which continuously tries to bring the mass to the equilibrium position.

The object of mass m falls due to the gravity of the earth.

Thus for the motion of the pendulum, a gravitational force acts as a restoring force and the object of mass will fall due to the gravity of the earth. The motion of the pendulum and the falling mass is due to the gravity of the earth and the acceleration due to the gravity of the earth is independent of the mass that is accelerating towards the earth.

inal answrer:

The correct option is (B) although they both accelerate due to gravity at the same rate, a restoring force acts on the bob.


Related Questions

A vehicle of mass 1,084 kg is traveling in the +y-direction along a straight, horizontal road at a speed of 18.2 m/s when the driver applies the brakes, stopping the car in a distance of 244 m. Find the y-component of the constant net force applied to the car to bring it to a stop.

[Note: Remember that vector components can be positive or negative.]

Answers

The y-component of the constant net force applied to the car to bring it to a stop is mathematically given as

F_y =666.38N

This is further explained below.

What is force?

Generally, In the field of physics, an influence that may alter the motion of an object is referred to as a force.

An object having mass may experience a change in its velocity, often known as acceleration, when subjected to a force.

Intuitively, force may also be conceptualized as either a push or a pull. Because it may be measured in both magnitude and direction, a force is considered a vector quantity.

When considering coplanar force of a point or a body we tend to consider the x components and the y components of force as they come together to give the Net Force or the resultant for and directions of force.

But for this case we shall strictly consider the y company of force as it pertains to this body and its force independent of the x components force as regards to Resultant force

In conclusion,

v^2 =2 a s

[tex]a &=\frac{v^2}{25}=\frac{(18.4)^2}{2 \times 268} \\\\[/tex]

a =0.631ms^2

F_y =m a

F_y=1055* 0.631

F_y =666.38N

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how do zou plan your day

Answers

Answer: i usually use the calendar on my phone to set my day or i make plans with other people.

I need help on homework

Answers

Given:

Let's determine the preferred units used when measuring the velocity of the center of mass.

The center of mass can be said to be the mean position of matter in a given system.

This is the point in a body where the whole mass of the body is concentrated upon.

The SI unit for center of mass is meters (m).

When measuring the center of mass, the preferred unit is meters per second.

herefiore, when measuring the velocity of the center of mass, the preferred unit is meters/second.

• NSWER:

A. meters/second

Every second, the Sun converts 4 million tons of matter to energy. How long will it take the Sun to reduce its mass by 1% (the mass of the Sun is 2×10^30kg)? Compare your answer with the lifetime of the Sun so far.

I need this as soon as possible thanks.

Answers

Answer:

That is human_scale thinking and understanding

Explanation..

If you are going to consider stars(sun's), then you have to thik on a more cosmological scale stars are prodigiously immense which means they can burn 4 million tons of their fuel per second and not even realize it.

Consider this_if the life of our sun is of the order of 8 billion years, then it takes two billion years to bum only a quit of its fuel.

The universe is a very large place and if you are going to understand it, you have to think large.

D-A6 kg cart moving at 2 m/s hits another car that has a mass of 3 kg. What is the velocity of the second car after impact?(Use the conservation of momentum equation)

Answers

The conservation of momentum states that the total intiial momentum is equal to the total final momentum. In this cae this will mean that:

[tex]p_{1i}+p_{2i}=p_{1f}+p_{2f}[/tex]

What is a 65 kg
k
g
rider's apparent weight as the ride is coming to rest?

Answers

The weight of the rider will remain the same that is 65 kg after the ride is finished because the weight does not depend on speed.

What is Weight?

It gauges how much gravity is pulling on a body.

Weight being a force, the SI unit of weight is the Newton, which is also the same as the SI unit of force (N). When we look at how weight is expressed, we can see that it depends on both mass and the acceleration caused by gravity; while the mass may not change from one location to another, the acceleration caused by gravity does.

According to the question, the weight will remain same because weight depends on mass and gravity but not the speed. As per the definition of weight it is the product of mass and gravity, it means for different plants the weight will be different but for the same planet the weight will be the same everywhere.

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A ball is thrown vertically upward with a speed of
25.0 m/s from a height of 2.0 m.
a. How high does the ball rise?
b. How long does it take to reach its highest point?
c. How long does the ball take to hit the ground
after it reaches its highest point?
d. What is the ball's velocity when it returns to
the level from which it started?

Answers

a.)  the ball rises to a height of 31.88m

b.) It takes the ball 2.55 seconds to reach its highest point

c.) It takes the ball 2.55 seconds to hit the ground

d.) The ball's velocity is -24.99 m/s in the negative direction which is downwards.

What is velocity?

Velocity is the directional speed of a object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.

From the given question, we have that

b.) At highest point velocity of the ball will become zero so v=0m/s.

So using equation

v = u + gt

0 = 25 - 9.8t

t = 25/9.8 s =2.551 s

Time taken by the ball to reach its highest point will be 2.551 seconds .

a.)  The height the ball rises is given by

v²-u²=2gh

=> 0-(25.0)²=-2*9.8*h

=> 19.6h= (25.0)²

=> h= 31.88m.

c.)  It will take the ball 2.55 seconds to hit the ground

after it reaches its highest point because it will take the ball same time for the ball to reach its highest point or fall to the ground.

d.) velocity = u - gt

V = 0 - 9.8 * 2.55

V= -24.99 m/s in the negative direction which is downwards.

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procidure for tapping a blind hole​

Answers

Answer:

HOW TO DO IT…

Use the correct cutting oil on the tap when cutting threads.

Turn the tap clockwise one-quarter to one-half turn, then turn back three-quarters of a turn to break the chip.

When tapping a blind hole, use the taps. in the order starting, plug, and then bottoming.

What kinematics equation would i use for this ? Btw one of those are the answers

Answers

Given that the time taken to reach the ground is t = 6 s

The final velocity is v = 0m/s

We have to find the height of the monument, h.

The initial velocity can be calculated by the formula

[tex]u=gt[/tex]

Here, g is the acceleration is due to gravity whose value is 9.81 m/s^2

Substituting the values, the initial velocity will be

[tex]\begin{gathered} u=9.81\times6 \\ =58.86\text{ m/s} \end{gathered}[/tex]

The formula to find height is

[tex]h=\frac{u^2}{2g}[/tex]

Substituting the values, the height will be

[tex]\begin{gathered} h=\frac{(58.86)^2}{2\times9.81} \\ =176.58 \\ \approx177\text{ m} \end{gathered}[/tex]

Thus, the correct option is 177 m.

module 1 question 4


(a) How many significant figures are in the numbers 99.0 and 100.0?

99.0 :

100.0 :


(b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (Give your answer to 3 significant figures.)

99.0 :

100.0 :

Answers

a) there are 2 and 3 significant figures in the numbers 99.0 and 100.0

b)for the uncertainity of 1 in each number, the percentage uncertainity for in each is 1 an 1.01

Here the problem we are dealing with is related to significant numbers which are the number of digits in a value, frequently an estimation, that contributes to the degree of accuracy of the value. We begin counting significant figures at the primary non-zero digit. in the first case, we are given two numbers 99 and 100, where in  99  we have 2 significant numbers and in 100, there are 3 significant numbers. For the second case, the formula for calculating the uncertainity percentage is percentage = uncertainty /value x 100

So,the uncertainty is 1, so the  certaintiy percentage for three significant numbers are which is 100 , the uncertainty percentage = 1/100 *100 = 1

For 99 , the uncertainty percentage = 1/99* 100 = 1.01

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Ms. Cast's husband calculates the height of their house as 10.0 meters. The actual height is 11.0
meters. What is the experimental (%) error?

Answers

Answer:

mrs.casts

Explanation:

she's married

A 227.1 g sample of water at 12.2°C is heated to steam at 115.6°C. How much heat was absorbed?
??? kcal

Answers

According to the given statement the heat absorbed is 43676.78 J .

How do you calculate heat absorbed?

The water's specific heat and the formula Q= mcΔT are used to compute the amount of heat absorbed. At 100°C, water vaporizes into steam. Calculating the amount of heat absorbed requires multiplying the number of moles of water by the molar heat of vaporization.

Briefing:

Mass, m = 227.1grams

To find how much heat is absorbed when 227.1 grams of steam is heated from  115.6°C to 12.2°C.

Heat absorbed is given by :

Q= mcΔT

c is specific heat of water

Put all the values, we get :

Q = 227.1 * 1.86 * (115.6 - 12.2)

Q = 43676.78 J

43676.78 J heat is absorbed.

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A gas is compressed at constant pressure of 0.8atm from 9litre to 2 litre in the process, 400J of a energy leves the gas by heat.
a. what is work done on the gas?
b, What is the change in its internal energy?​

Answers

According to the give statement:

a)Work done on the gas is 567 J.

b)The change in its internal energy is 167J.

What is an example of internal energy?

The temperature and condition of a substance are examples of internal energy. For instance, the internal energy of water is influenced by its temperature as well as whether it is in a solid, liquid, or gas state. Due to its condition, liquid water has greater stored energy than copper metal at the same temperatures.

Briefing:

The work done on the gas is evaluated using formulas:

W = -p * ΔV

Only the large volumes which is signified by large data Substituting the known values we obtain

W= 0.8 * 1.01325 * 10⁵ Pa * -1 (-7) * 10⁻³ m³

W = 567 J

Change in Internal energy is given by

ΔU=W - Q

=567−400)

=167J

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A group of students must design an egg-carrying device that will prevent a raw egg from breaking when it is dropped from a two-story
window The diagram shows one group's design. How does the parachute help to minimize the force on the egg upon impact with the
ground?

Answers

The parachute increases the air resistance which would be calculated as a force opposite the direction of the force of gravity. These two forces oppose one another decreasing the acceleration of the egg. Since net force is equal to mass times acceleration the net force would decrease since the acceleration did.

Why are the accelerations due to gravitational force on the moon and the Earth different? Do you think you could shield a gravitational field in a vacuum?

Answers

The difference in the acceleration due to gravity on the moon and the Earth are different due to the difference in their masses and radius.

Yes, can shield a gravitational field in a vacuum by coming in between the mass and gravitational source.

What is Newton's law of universal gravitation?

Newton's law of universal gravitation states that every two objects in the universe attracts each other with a force directly proportional to the product of the masses and inversely proportional to the distance between the two objects.

F = GmM/R²

where;

G is universal gravitation constantm and M are the massesR is the distance between the two objects

From Newton's second law of motion,

F = mg

where;

g is acceleration due to gravity

mg  = GmM/R²

g = GM/R²

Thus, the acceleration due to gravity on the moon and the Earth are different because of difference in their masses and radius.

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Figure 3 shows a 40 kg crate that is being pushed with constant velocity at a distance 8.0 m along a 30° incline plane by the horizontal force of 500N. The coefficient of kinetic friction between the crate and the incline, µk is 0.42. Assuming the crate is moving upwards towards the right, calculate the work done by the applied force, the frictional force and the gravitational force and the net work done on the crate.

Answers

Based on the given figure, you have that the components of the forces on the direction of the incline are:

applied force:

Fa = 500N*cos(-30°) = 433.01N

friction force:

Fr = µk*N = µk*m*g*cos(30°) = (0.42)(40kg)(9.8 m/s^2)cos(30°) = 142.58N

gravitational force:

Fg = m*g*sin(30°) = (40kg)(9.8)sin(30°) = 196.0N

Next, consider that the work done by a force is equal to the product of the force and the distance at which the force is applied. In this case, such distance is 8m.

Then, you have:

Work done by the applied force:

WFa = (433.01N)(8.0m) = 3464.08 J

Work done by the friction force:

WFr = (142.58N)(8.0m) = 1140.64 J

Work done by the gravitational force:

WFg = (196.0N)(8.0m) = 1568.0 J

Finally, the net work, based on the direction of the forces, is:

Net work = WFa - WFr - WFg = 3464.08J - 1140.64J - 1568.0J = 755.44J

Hence, the net work is 755.44 J

Answer: Wfr = -1883.25 J

Explanation:

1) In the x direction (direction of motion of the crate):

Fcos(30^o) - f_fr - mgsin(30^o ) = 0 (because a_x = 0)

f_fr = Fcos(30^o ) - mgsin(30^o)

f_fr = (498)(√3/2) - (40)(9.81) (1/2) = 235.28 N

⇒ W_fr = f_fr.s.cos(180^o) = -(235.28)(8.0) = -1882.25 J (1)

2) In the y direction (perpendicular to the motion of the crate):

n - Fsin(30^o) - mgcos(30^o) = 0 (because a_y = 0)

⇒ n = Fsin(30^o) + mgcos(30^o) = (498)(1/2) + (40)(9.81)(√3/2) = 588.83 N

⇒ f_fr = μ_k.n = (0.40)(588.83) = 235.53 N

⇒ W_fr = f_fr.s.cos(180^o ) = -(235.53)(8.0) = -1884.24 J (2)

Average of calculations (1) & (2): W_fr = -1883.25 J

A hot air balloon with a mass of 371 kg is flying 615 m above the ground. How much gravitational potential energy does the balloon have?

Answers

The formula for determining the gravitational potential energy of the balloon is expressed as

Energy = mgh

where

m is the mass of the ballon

g is the accelaration due to gravity and the value is 9.8m/s^2

h is the height of the balloon above the ground

From the information given,

m = 371

h = 615

Thus,

= 371 x 89.8 x615 = 22316017 NKJoulesJoules8298.651

What helped Northwest Coast tribes develop complex societies? Choose three correct answers.

having to travel to search for resources
being able to plant and harvest crops
having an abundant supply of fish
being able to save and store food
having a wealth of resources

Answers

The development of complex societies depends of the Northwest Coast tribes on;

having a wealth of resourceshaving an abundant supply of fishbeing able to plant and harvest cropsWhat are complex societies?

The term society just has to do with people that are found to live around a give geographical area. This is the way the people tend to live along with the civilization that they may tend to have actually created over a long period of time as we can see.

Having said thus, the people of the are the people that there originally found around the west of which the original native Americans also formed a huge part of. These were the people that tend to be found around the Americas before the onset of modern civilization as we can se.

The factors that  helped Northwest Coast tribes develop complex societies are found in the section above. These factors saw to the development of the region.

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module 2 question 16

(a) Calculate the tension in a vertical strand of spiderweb if a spider of mass 7.00 ✕ 10-5 kg hangs motionless on it.
N
(b) Calculate the tension in a horizontal strand of spiderweb if the same spider sits motionless in the middle of it much like the tightrope walker in Figure 4.13. The strand sags at an angle of 13.0° below the horizontal.
N
Compare this with the tension in the vertical strand (find their ratio).
(tension in horizontal strand / tension in vertical strand)

Answers

a ) The tension in a vertical strand = 68.6 * [tex]10^{-5}[/tex] N

b ) The tension in a horizontal strand = 149.13 * [tex]10^{-5}[/tex] N

c ) Tension in horizontal strand / Tension in vertical strand = 2.17

a ) The tension in a vertical strand,

m = 7 * [tex]10^{-5}[/tex] kg

g = 9.8 m / s²

Since the strand is vertical and the spider is motionless,

∑ [tex]F_{y}[/tex] = 0

T - mg = 0

T = 7 * [tex]10^{-5}[/tex] * 9.8

T = 68.6 * [tex]10^{-5}[/tex] N

b ) The tension in a horizontal strand,

θ = 13.0°

The strands left and right have same magnitude and makes the same angle with the horizontal. Resolving,

sin θ = [tex]T_{y}[/tex] / T

[tex]T_{y}[/tex] = T sin 13.0°

∑ [tex]F_{y}[/tex] = 0

[tex]T_{y}[/tex] + [tex]T_{y}[/tex] - mg = 0

T sin 13.0° + T sin 13.0° = 7 * [tex]10^{-5}[/tex] * 9.8

2 T sin 13.0° = 68.6 * [tex]10^{-5}[/tex]

T = 68.6 * [tex]10^{-5}[/tex] / 0.46

T = 149.13 * [tex]10^{-5}[/tex] N

c ) Ratio of strands,

Tension in horizontal strand / Tension in vertical strand = 149.13 * [tex]10^{-5}[/tex] / 68.6 * [tex]10^{-5}[/tex]

Tension in horizontal strand / Tension in vertical strand = 2.17

Therefore,

a ) The tension in a vertical strand = 68.6 * [tex]10^{-5}[/tex] N

b ) The tension in a horizontal strand = 149.13 * [tex]10^{-5}[/tex] N

c ) Tension in horizontal strand / Tension in vertical strand = 2.17

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A parallel plate capacitor is connected to a battery that maintains a constant potential difference. How will the magnitude of the charge on the plates change if the separation between the plates is doubled?It will be cut in half.It will not change.It will double.It will quadruple.

Answers

A parallel plate capacitor is connected to a battery that maintains a constant potential difference.

As we know,

[tex]\begin{gathered} Q=CV \\ Q=\frac{A\epsilon_0V}{d} \end{gathered}[/tex]

Here, Q is the charge which is inversely proportional to the separation between the plates.

[tex]Q\propto\frac{1}{d}[/tex]

That means if the separation between the plates increases the magnitude of the charge on the plates decreases.

Thus, if the separation between the plates is doubled the magnitude of the charge will be cut in half.

the angular velocity of a rotating rigid body is -4+j-2k.find the linear velocity if a point p(5,1,3) on the body relative to a point Q(3,4,2) on the axis of rotation​

Answers

The linear velocity of a point p(5,1,3) on the body relative to a point Q(3,4,2) on the axis of rotation​ is 17.13 m/s.

What is linear velocity?

Linear velocity is defined as the rate of change of displacement with respect to time when the object moves along a straight path.

The relationship between linear velocity and angular velocity is given as;

v = ωr

where;

ω is angular speed of the objectr is the radius of the circular pathv is the linear speed of the object

The magnitude of the radius is calculated as follows;

r = √[(5-3)² + (1-4)² + (3-2)²]

r = 3.74 m

The magnitude of the angular speed is calculated as;

ω = √[(-4)² + (1)² + (-2)²]

ω = 4.58 rad/s

The linear speed of the object is calculated as follows;

v = ωr

v = (4.58 rad/s) x (3.74 m)

v = 17.13 m/s

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A hummingbird flies forward and backward. Its motion is shown on the above graph of horizontal Position and Time.

What is the total distance the hummingbird travels from t=0 sec to t=12 sec?
A.4m
b.0m
c.1m
d.2m

Answers

Answer:

what is the speed of the bird

Which of the following describes how deforestation impacts the climate in areas where trees once stood?The elimination of a protective covering causes the sun to dry out the ground.The lack of carbon in the atmosphere causes radical temperature fluctuations.The decrease in plants to absorb water causes a greater level of water precipitation.The change in covered areas causes winds to be stronger and colder weather results.

Answers

Take into accouint that the regions that suffer deforestation tend to generate soil erosion to eventually become non-productive land.

Then, from the given choices you have that deforestation impacts in the following way:

The elimination of a protective covering causes the sun to dry out the ground.

Calculate the mass of the Sun using Venus.

Venus is 1.08 x 1011 meters from the Sun and has a period of 224.7 days.
Show your computations.

Answers

The mass of the Sun is 1.98 * 10³⁰ kg.

What is the mass of the Sun?

The mass of the Sun is calculated from the data given about Venus as follows:

radius of Venus from the Sun = 1.08 x 10¹¹ meters

Period of rotation of Venus around the Sun, T = 224.7 days.

T in seconds = 224.7 * 24 * 3600 = 1.94 * 10⁷ s

Force of gravity = Centripetal force

GMm/r₂ = mv²/r

M = mass of Sun

m = mss of Venus

M = rv²/G

G = 6.67 * 10⁻¹¹ m³kg⁻¹s⁻²

But v = 2πr/T

v = 2 * 3.14 * 1.08 x 10¹¹ / 1.94 * 10⁷

v = 3.496 * 10⁴ m/s

Hence;

M =  1.08 x 10¹¹ * (3.496 * 10⁴)² / 6.67 * 10⁻¹¹

M = 1.98 * 10³⁰ kg

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A Student Bends Her Knees 15 Cm And Jumps Up 80 Cm Off The Ground. Find The A.) The Velocity With Which The Student Leaves ground

Answers

The initial velocity of the student as he leaves the ground is 3.57 m/s.

What is the velocity of the student as he leaves the ground?

The velocity of the student as he leaves the ground can be calculated using the following kinematic equation for upward motion.

v² = u² - 2gh

where;

v is the final velocity of the studentu is the initial velocity of the studenth is the maximum height jumped by the student = 80 cm - 15 cm = 65 cm = 0.65 m

At the maximum height, the final velocity of the student = 0

0 = u² - 2gh

u²  =  2gh

u = √2gh

u = √(2 x 9.8 x 0.65)

u = 3.57 m/s

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The Italian greyhound jumps 0.85 m in the air to catch a frisbee. How much potential energy does the dog have at the height of its jump?

Answers

Answer:

U = 41.65 J

Explanation:

We have just to calculate it with the following expression of gravitational potential energy:

U = m*g*h

Where:

m: mass

g: gravity acceleration;

h: height.

So:

U = m * 9.8 * 0.85

U = 8.33 * m

Then, it is just putting the mass value of the dog in that equation to obtain the value of potential energy acquired by the dog when jumping.

The mass of this kind of dog is between 3.6kg - 5kg, so, the maximum value of the potential energy can be like this:

U = 5 * 9.8 * 0.85

U = 41.65 J

module 2 question 7

An owl is carrying a mouse to the chicks in its nest. It is 4.00 m west and 12.0 m above the center of the 30 cm diameter nest and is flying east at 4.50 m/s at an angle 27° below the horizontal when it accidentally drops the mouse. Will it fall into the nest? Find out by solving for the horizontal position of the mouse (measured from the point of release) when it has fallen the 12.0 m.
m (from the point of release)

Answers

Answer:

the mouse will overshoot and will not land in the nest.

I need help finding the solution

Answers

The potential energy of an object of mass m at a height h from the ground on the Earth, where the gravitational acceleration is g, is:

[tex]U=\text{mgh}[/tex]

As we can see, the velocity of the object is not a variable that needs to be taken into account to find the potential energy,

Then, the answer is:

[tex]\text{Velocity of the object}[/tex]


What is the mass of an object that needs a force of 5,500 N to accelerate it at a
rate of 5 m/s/s?

Answers

THE MASS OF AN OBJECT IS 1100

plane, starting from rest, accelerates at a rate of a = 5 m/s2 for a distance of 250 m. At this distance, calculate the plane's FINAL VELOCITY to the nearest 1 m/s.

Answers

The final velocity of the plane at 250 m distance is 50 m/s.

Equation :

To calculate the final velocity of plane we need to use the formula from equation of motion,

In equation of motion we will use the formula,

v² = u² + 2as

where,

v is final velocity

u is initial velocity

a is the acceleration of plane

s is the distance

In this given data are,

s = 250 m

a = 5 m/s²

u = 0 m/s ( as the initial of plane is resting )

v = ?

Now, since we know the values, putting them into the formula,

v² = ( 0 )² m/s + 2 x (5 m/s²) x 250 m

v² = 2 x (5 m/s²) x 250 m

v² = 2,500 m/s

v = √2,500 m/s

v = 50 m/s

Hence, the final velocity of the plane at 250 m is 50 m/s.

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who contributed to the cell theory and what was their contribution Find the area: A trapezoid with a top base length of 6 cm, a bottom base length of 12 cm, and a height of 5cm Table 9.1 shows the amounts of some substances in the blood in the renal artery andin the renal vein of a healthy person. Suggest what happens in the kidney to bring about the differences in the composition of the blood shown in Table 9.1. The economy of Mexico relies heavily on? You need to use your separatory funnel for an extraction, but you notice that there is some residual water in it from when it was washed during the previous lab period. What should you do?. What term describes the rules that govern the church? PQ has a length of 17 units with P(-4,7). If the x- and y-coordinates of Q are both greater than the x- and y-coordinates of P, what are possible integer value coordinates of Q? Explain.Let PQ be the hypotenuse of a right triangle that also has a horizontal leg and a vertical leg. The hypotenuse then has length 17, and a Pythagorean triple can be used to say the shorter leg has lengthand the longer leg has length. If the shorter leg is horizontal, then Q is described by the ordered pair. If the shorter leg is vertical, then Q is described by the ordered pair _______ enable you to sense the position and movements of various body parts without looking. _______ are two structures that protect your eyes from foreign particles. The _______ is the clear area of the sclera of your eyes that allows light to pass through. The _______ is the tight membrane inside your ear that transmits the vibrations of sound waves from the auditory canal to the middle ear. When we rolled carts down a ramp, we measured the length of the ramp, the height of the lower part of the ramp, the height of the upper part of the ramp, and how long it took for the cart to reach the bottom of the ramp. Then we changed the height of the upper part of the ramp and measured how long it took for the cart to reach the bottom of the ramp. Which variable was the Independent Variable in that situation?How do you know it's the Independent Variable? What amount of a 60% acid solution must be mixed with a 45% solution to produce 600 mL of a 50% solution? explain this question and i will give those crown thingy2 pages 9. Raquel estimated 504,900,000,000 as 3 x 10^8. What error did shemake? Explain. if 20 is the mean of 18,23,x,22, and 20 find the value of x the filer middle school soccer team of 27 students is riding to an out of town game. if 6 students can ride in a van, how many vans will be needed? A square is cut into 4 identical triangles each triangle has an area of 1 square unit what is the side length of the square During the renaissance period, how was instrumental music performed? If a 5-kg bowling ball is projected upward with a velocity of 2.0m/s. What is the momentum? What amount of force will that bowling ball have as it falls back to Earth? I need help pleaseeee James buys a watch that was reduced by 15% in a sale.At the counter he paid 221How much did the watch cost originally?Remember to include units in your answer. A plane travels 2.5 km at an angle of 35 degrees to the ground and then changes directions and travels 5.2 km at an angle of 22 degrees to the ground. what is the magnitude and direction of the plane's total displacement?