the assembled part shown consists of a disk or radius r and mass m, and two rods each with mass m/2 and length l. what is the mass moment of inertia of the assembly shown about the z-axis and about the x-axis?

Answers

Answer 1

Moment of inertia of the system about an axis passing through the centre of rod and perpendicular to its length is 1/2 M R^2 + 7/96 ml².

The moment of inertia of the system can be found by considering the moment of inertia of each object and applying the parallel axis theorem. The moment of inertia of a thin disc about an axis passing through its center and perpendicular to its plane is 1/2 MR². The moment of inertia of the rod about an axis passing through its center and perpendicular to its length is 1/12 ml².

Using the parallel axis theorem, the moment of inertia of the rod about an axis passing through one end and perpendicular to its length is.

1/12 ml² + (m/2)(l/2)²

= 1/12 ml² + 1/16 ml² =

7/96 ml².

The moment of inertia of the system about an axis passing through the center of the rod and perpendicular to its length is the sum of the moment of inertia of each object plus the moment of inertia of the rod about its end, which is

1/2 MR² + 1/2 MR² + 7/96 ml²

= 1/2 M R² + 7/96 ml²

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--The complete question is, Two thin discs each of mass M and radius R are placed at either end of a rod of mass m/2, length l. Moment of inertia of the system about an axis passing through the centre of rod and perpendicular to its length is--


Related Questions

trên cùng 1 đường thẳng có 2 xe chuyển động đều và cùng chiều, xe B đuổi theo A. Ban đầu 2 xe cách nhau 20km và chuyển động cùng lúc. Xe A chạy với tốc độ 40km/h. Xe B muốn đuổi kịp xe A chỉ trong 20p phải chạy với tốc độ là

Answers

Answer:

sorry I don't understand

Explanation:

please translate it in english


When light rays pass through a lens and are spread apart we call that...

Answers

Answer:

the correct answer is reflection

Answer:

diversion

Explanation:

when light rays spread apart after passing through a lens we call it diversion.

this type of lens is called diverging lens (concave lens)

Hope it helps

Why does it take more energy to heat up 1 kg of cold water than 0.5 kg of cold water to the same temperature?

Answers

It takes more energy to heat up 1 kg of cold water than 0.5 kg of cold water to the same temperature because water has a relatively high specific heat capacity. The specific heat capacity is the amount of energy required to raise the temperature of one unit of mass of a substance by one degree Celsius.

In other words, it takes more energy to raise the temperature of a larger mass of water than a smaller mass of water by the same amount. This is because the larger mass of water requires more energy to overcome the intermolecular forces between its molecules, which are stronger than in a smaller mass of water.

Additionally, since water has a high specific heat capacity, it can absorb a lot of heat energy without a significant increase in temperature. Therefore, a larger mass of water requires more energy to raise its temperature by the same amount compared to a smaller mass of water.

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After food is consumed, chemical nutrients are absorbed into the blood. The blood then carries these nutrients to the body's cells where the nutrients enter mitochondria. Which reaction must occur next for the cell to carry on other activities?

Answers

Answer:b

Explanation:b

where can radiation be found in nature and how is it affected

Answers

The sun is a clear example of objects releasing radiation in nature

imagine holding two identical bricks in place under water. brick 1 is just beneath the surface of water, while brick 2 is held about 2 feet down. the force needed to hold brick 2 in place is

Answers

Holding Brick 2 in place requires more force than holding Brick 1 just beneath the water's surface due to the higher pressure and buoyant force acting on it at a greater depth.

The force needed to hold Brick 2 in place underwater is greater than the force needed to hold Brick 1 just beneath the surface. This difference in force is primarily due to the increased pressure acting on Brick 2 as a result of its deeper position in the water.

In this scenario, there are two main forces acting on the bricks: the gravitational force, also known as weight (W), and the buoyant force (Fb). The weight of the bricks remains constant regardless of their position, as it depends only on their mass and the acceleration due to gravity. The buoyant force, on the other hand, depends on the volume of fluid displaced by the bricks and the density of the fluid, which in this case is water.

The pressure in a fluid increases with depth, which means that the buoyant force acting on Brick 2 is greater than that acting on Brick 1. Consequently, to keep Brick 2 submerged at a depth of 2 feet, you would need to exert a greater force to counteract the increased buoyant force.

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.) Identify the following quantities as scalar or vector: the mass of an object, the number of leaves on a tree, wind velocity.

a.) Vector, scalar, scalar
b.) Vector, scalar, vector
c.) Scalar, scalar, vector
d.) Scalar, vector, vector

Answers

Answer:

C

Explanation:

mass is a scalar quantity, number of anything is also a scalar quantity, since it lacks direction, and wind velocity is a vector quantity

The given quantities are classified as vector and scalar quantities;

mass of an object (scalar)the number of leaves (scalar)wind velocity (vector)

Vector quantities are those quantities that have both magnitude and direction. Examples include the following;

velocity (m/s)acceleration (m/s²)force (N)weight (N)

Scalar quantities are those quantities that have only magnitude but no direction. Examples include the following;

speeddistancemasswork, etc

Thus, from the explanation above, we can classify the given quantities as follows;

mass of an object (scalar)the number of leaves (scalar)wind velocity (vector)

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An object is placed in front of convex mirror whose radius of curvature is
40cm, at a distance of 10cm. Find the position and nature of image.

Answers

An object is placed in front of a convex mirror whose radius of curvature is 40cm, at a distance of 10cm. the position and nature of the image: 20 cm at the back of the mirror, virtual, +2.

Convex reflect is a curved replicate where the reflective floor bulges out closer to the mild supply. This bulging-out floor displays mild outwards and is not used to attention mild. Examples of convex mirrors are the mirrors used as rear aspect mirrors of vehicles, optical contraptions, calling bells, etc. Convex mirrors are broadly used as rear-view mirrors in vehicles and motors because they are able to diverge light beams and make digital photographs.

calculation:-

R = 2f

f = R/2

= 40/2

= 20 cm

now putting the value of focal length in equation:-

1/f = 1/v -1/u

v = fu/u -f

= 20×10/ 10-20

=200/10

= +20

Since sign is negative nature of image is real.

Uses of the convex lens are:

A convex lens is utilized in microscopes and magnifying glasses to subject all of the mild to a particular point.A convex lens is used as a camera lens in cameras as they recognize light for a smooth photo.A convex lens is used for the correction of hypermetropia.

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Which is easier for a beginner? (This is for archery)

O long bow

O recurve bow

Answers

Answer:

The recurve bows

Explanation:Vote brainliest plz

The recurve bow is smaller and easier to handle while the longbow is used more for competitions. So I would say the recurve bow is easier for a beginner

What’s the four-letter type of adapter that’s used with electrical devices that require power but do not contain internal components to derive the required voltage and power from mains power?.

Answers

AC Adapters the four-letter type of adapter that’s used with electrical devices that require power but do not contain internal components to derive the required voltage and power from mains power.

Mobile phones, laptop computers, and external hard drives are just a few of the everyday electronic gadgets that can be powered or recharged using alternating current (AC) adapters. An AC adapter converts AC power from an outlet into the voltage or kind of power that is required by an electronic device.

An AC adapter is an external power source that transforms the direct current (DC) required by an electronic device from the alternating current (AC) found in a wall outlet. It is an AC/DC converter as a result. It's also accurate to call it a charger when it powers a battery-operated item.

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True OR False

In a physical change the matter changes.

Answers

the right answer of the question is true

what is the electron domain and molecular geometries of scl2?

Answers

The electron domain and molecular geometries of SCl2 are given as follows: Electron Domain Geometry :The electron domain geometry of SCl2 is trigonal bipyramidal.

This is due to the presence of two bonded atoms and one lone pair around the sulfur atom.

The two bonded atoms and the lone pair of electrons are found in the axial positions of the trigonal bipyramidal geometry.

The geometry of SCl2 is a result of VSEPR theory.

Molecular Geometry: The molecular geometry of SCl2 is bent or V-shaped.

The bond angles in the molecule are approximately 103° due to the presence of a lone pair of electrons.

The bond angle of the two bonded atoms in the axial position is about 180°.

The molecular geometry of SCl2 is determined by the number of bonding groups around the sulfur atom.

A brief note on SCl2:Sulfur dichloride (SCl2) is a colorless, fuming gas with a rotten-egg odor.

It is used as a chemical intermediate in the production of other chemicals.

The chemical structure of SCl2 comprises a sulfur atom surrounded by two chlorine atoms.

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acceleration; F = - F
A force of 21 N is applied to a 10 kg sled which experiences a small force of
friction of 3 N. What is the net force on the sled?
Your answer

Answers

Answer:

18N is the net force

Explanation:

Since friction always acts in the opposite direction of an objects motion we subtract the applied force from the frictional force to get our resultant net force of 18N.

is nucleus found in animal cells

Answers

Answer:

yes nucleus is found in plant and animal cells.

Hope this helps :)

1- what is a machine?
2- what do we mean my "energy"
3- what are fuels?
4-how do we measure energetic change?
5- what is efficiency?
6- what kind of machines are theres​

Answers

1) A machine is an apparatus using or applying mechanical power and having several parts, each with a specific function.

2) Energy is the capacity of a physical system to do work.

3) Fuels are any material that can be made to react with other substances so that it releases energy as heat energy or to be used for work.

4) Measure a volume of an acid and place into a polystyrene cup which is placed into a beaker.
Measure the temperature of the acid with a thermometer.
Add a measured volume of an alkali to the acid.
Measure the temperature rise to calculate the energy change.

5) the ratio of the useful work performed by a machine or in a process to the total energy expended or heat taken in; an action designed to achieve efficiency.

6) Pulley, lever, screw, and inclined plane.

Have a wonderful day ✨❤️

.Which of the following formulas would be used to directly calculate the kinetic energy of a mass bouncing up and down on a spring?
KE= 1/2kx
KE= 1/2kx2
KE=1/2mv2
KE= - 1/2mv2

Answers

The formula used to directly calculate the kinetic energy of a mass bouncing up and down on a spring is KE= \(1/2mv^2\).

When a mass is bouncing up and down on a spring, it possesses both potential energy and kinetic energy. The potential energy of the mass is stored in the spring, which is proportional to the displacement of the mass from its equilibrium position. As the mass oscillates back and forth, it also possesses kinetic energy, which is the energy of motion.

The formula used to directly calculate the kinetic energy of a mass bouncing up and down on a spring is KE= \(1/2mv^2\), where m is the mass of the object and v is its velocity. The velocity of the mass is constantly changing as it oscillates back and forth, so the kinetic energy is also constantly changing.

In contrast, the formula KE= \(1/2kx^2\)is used to calculate the potential energy of the mass stored in the spring, where k is the spring constant and x is the displacement of the mass from its equilibrium position. This formula is not directly used to calculate the kinetic energy of the mass bouncing up and down on the spring.

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In the first activity, Vehicle 2 has a greater acceleration than Vehicle 1, but has a less forceful engine. How can this be? Explain in terms of your equation.

Answers

Answer:

This can be explained by the equation Force=Mass x Acceleration. Vehicle 2 has a higher acceleration than Vehicle 1, which means it accelerates quicker. However, this increased acceleration is achieved by a less forceful engine. This is possible because Vehicle 2 has a lower mass than Vehicle 1, meaning the same force applied to Vehicle 2 results in greater acceleration. Therefore, Vehicle 2 has a greater acceleration than Vehicle 1 but has a less forceful engine.

A 1234 kg freight car moving at 6 m/s runs into a 2468 kg freight car at rest. They stick together upon collision. What was the final combined speed?

Answers

Answer:

2 m/s

Explanation:

Applying,

The law of conservation of momentum

Total momentum before collision = Total momentum after collision

mu+m'u' = V(m+m')............... Equation 1

Where m = mass of the first freight car, m' = mass of the second freight car, u = initial velocity of the first freight car, u' = initial velocity of the second freight car, V = final combined velocity/ speed.

make V the subject of the equation

V = (mu+m'u')/(m+m')........... Equation 2

From the question,

Given: m = 1234 kg, m' = 2468 kg, u = 6 m/s, u' = 0 m/s (at rest)

Substitute these values into equation 2

V = [(1234×6)+(2468×0)]/(1234+2468)

V = 7404/3702

V = 2 m/s

A violin string is 28 cm long. Itsounds the musical note A (440 Hz) when played without fingering.How far from the end of the string should you place your finger toplay the note C (523 Hz)?

Answers

To play the note C (523 Hz) on a violin string that is 28 cm long and already sounding the note A (440 Hz), you would need to place your finger 14.5 cm from the end of the string. This distance is calculated using the equation for the harmonic series on a stringed instrument, which states that the frequency of a note produced by stopping the string at a certain point is inversely proportional to the length of the string between the stopping point and the bridge. Using this equation, we can calculate that the length of string needed to produce a note with a frequency of 523 Hz is approximately 0.534 times the length needed for a note with a frequency of 440 Hz. Therefore, the distance from the end of the string to the stopping point for the note C is 0.534 times the length of the whole string, or 14.5 cm.
To find the location to place your finger to play the note C (523 Hz) on a 28 cm long violin string that plays the note A (440 Hz) without fingering, we can use the formula relating frequency and length:

f1 / f2 = L2 / L1

Here, f1 is the frequency of the note A (440 Hz), f2 is the frequency of the note C (523 Hz), L1 is the length of the string without fingering (28 cm), and L2 is the length of the string when playing the note C.

Step 1: Plug in the known values into the formula.
440 / 523 = L2 / 28

Step 2: Solve for L2.
L2 = 28 * (440 / 523)
L2 ≈ 23.5 cm

Now, we can find the distance from the end of the string where you should place your finger.

Step 3: Subtract L2 from the original length of the string (L1).
Distance = L1 - L2
Distance = 28 - 23.5
Distance ≈ 4.5 cm

So, you should place your finger approximately 4.5 cm from the end of the string to play the note C (523 Hz).

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A construction worker uses a board and log as a lever to lift a heavy rock. He applies a force of 20 N without the use
of the lever, however with the lever, he applies a force of 10 N. What is the mechanical advantage?

Answers

Answer:

vz vc

Explanation:

v b

Materials A, B, and C are solids that are at their melting temperatures. Material A requires 200 J to melt 4 kg, material B requires 300 J to melt 5 kg, and material C requires 300 J to melt 6 kg. Rank the materials according to their heats of fusion. If multiple materials rank equally, use the same rank for each, then exclude the intermediate ranking (i.e. if objects A, B, and C must be ranked, and A and B must both be ranked first, the ranking would be A:Greatest, B:Greatest, C:Third greatest). If all materials rank equally, rank each as 'Greatest'.

Answers

Answer:

B: Greatest, A: Second greatest, C: Second geratest.

Explanation:

We can calculate the heat of fusion of a material (ΔHfus), which is the heat required to melt 1 kg of material, using the following expression.

ΔHfus = Q/m

where,

Q: heat providedm: mass

Material A

ΔHfus = 200 J/4 kg = 50 J/kg

Material B

ΔHfus = 300 J/5 kg = 60 J/kg

Material C

ΔHfus = 300 J/6 kg = 50 J/kg

Then, considering the heats of fusion,

B: Greatest, A: Second greatest, C: Second greatest.

A boy who weighs 800 N and his 400 N little sister are sitting on a balanced see saw. Which of the chirldren is sitting closer to the fulcrum in the center

Answers

The boy is sitting closer to the middle

what advantage does nuclear power have over solar, wind, and hydroelectric?

Answers

Nuclear power has several advantages over solar, wind, and hydroelectric power. First, nuclear power plants are capable of producing large amounts of electricity reliably and consistently, unlike solar and wind power which are dependent on weather conditions.

This means that nuclear power can provide a stable source of electricity to the grid regardless of weather conditions or time of day.

Another advantage of nuclear power is that it has a very low carbon footprint, making it a clean source of energy. Additionally, nuclear power plants require less land compared to wind and solar farms, making it an efficient use of space.

Furthermore, nuclear power is not affected by water availability, unlike hydroelectric power which relies on consistent water flows. This makes it a more reliable source of energy, particularly in regions prone to drought.

In summary, nuclear power offers a reliable and efficient source of energy with a low carbon footprint. While there are concerns around safety and waste disposal, advancements in technology have made nuclear power a safer and more viable option for meeting our energy needs.

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The intensity of a sound is another way to say the _________ of a sound.
frequency
amplitude
wavelength
loudness

Answers

Answer:

Frequency and tfcvvbyfgffhhi

Answer:

I think frequency

Explanation:

if t = 2 m and v9 l = 100.0 ‡ 0.1cm t = 2.01 ÷ 0.01 s calculate the value of g and its standard error.

if t = 2 m and v9 l = 100.0 0.1cm t = 2.01 0.01 s calculate the value of g and its standard error.

Answers

Answer:

g = 9.82

standard error = 0.0063

Explanation:

To solve this problem, we can use the given equation T = 2 phi root L / g, where T is the period of oscillation, L is the length of the pendulum, and g is the acceleration due to gravity. We are given the values of T and L, and we are asked to calculate the value of g and its standard error.

First, we can calculate the value of g by substituting the given values for T and L into the equation:

T = 2 phi root L / g

2.01 = 2 phi root 100.0 / g

g = 2 phi root 100.0 / 2.01

g = 9.82

Next, we can calculate the standard error of g by propagating the uncertainties in T and L through the equation. To do this, we can use the following formula:

standard error of g = sqrt(((derivative of g with respect to T) * standard error of T)^2 + ((derivative of g with respect to L) * standard error of L)^2)

The derivative of g with respect to T is -2 phi root L / T^2, and the derivative of g with respect to L is -2 phi / (g * L^(1/2)). Substituting these values into the formula, we get:

standard error of g = sqrt(((-2 phi root L / T^2) * 0.01)^2 + ((-2 phi / (g * L^(1/2))) * 0.1)^2)

standard error of g = sqrt(((-2 * 3.14 * sqrt(100.0) / 2.01^2) * 0.01)^2 + ((-2 * 3.14 / (9.82 * sqrt(100.0))) * 0.1)^2)

standard error of g = sqrt(((-0.63 * 0.01)^2 + (-0.062 * 0.1)^2))

standard error of g = sqrt((-0.0063^2 + -0.0062^2))

standard error of g = sqrt(0.00003969 + 0.00003844)

standard error of g = 0.0063

Thus, the value of g is 9.82, and its standard error is 0.0063.

I hope this helps! Let me know if you have any other questions or need further assistance.

A parallel plate capacitor is charged to voltage V and then disconnected from the battery (the charge on the plates remains fixed). If the plates are pulled away from each other, how would it affect the voltage

Answers

When the plates of a charged parallel plate capacitor are pulled apart, the capacitance decreases. As a result, the voltage across the capacitor increases, even though the charge remains constant.

If the plates of a parallel plate capacitor are pulled away from each other after being charged to voltage V and the charge on the plates remains fixed, the separation distance between the plates would increase. As a result, the capacitance of the capacitor would decrease since capacitance is inversely proportional to the distance between the plates. According to the formula Q = CV, where Q is the charge and C is the capacitance, with a fixed charge Q and decreasing capacitance C, the voltage V would increase.

Therefore, pulling the plates away from each other would cause the voltage across the capacitor to increase.

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As the volume of a chamber decreases, the pressure inside the chamber ____________ . as the volume increases, the pressure ____________ .

Answers

Answer: Increases, decreases

Explanation:

As the volume of a chamber decreases the pressure inside the chamber increases. As the volume increases the pressure decreases

a 7.00-kg mass is hung from the bottom end of a vertical spring fastened to an overhead beam. the object is set into vertical oscillations having a period of 2.60 seconds. what is the force constant of the spring?

Answers

The force constant of the spring is 42.1 m.

What is force?

Force is a physical quantity that is related to the interaction between two objects. It is a vector quantity, meaning it has both magnitude and direction. Force can be thought of as a push or a pull between two objects. When one object exerts force on another object, the second object experiences an equal and opposite reaction force. Some of the most common examples of force include friction, gravity, electric fields, and magnetism. Force is a key concept in physics, as it is often used to explain the motion of objects and the behavior of physical systems.

The force constant, or spring constant, of the spring can be calculated using the equation:

k = (4π^2m)/T^2. In this equation, m is the mass of the object and T is the period of oscillation.

Therefore, the force constant of the spring is

k = (4π^2*7.00kg)/(2.60s)^2 = 42.1 N/m.

This means that if a 1 N force is applied to the spring, it will stretch by 42.1 m.

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True or false. Charged objects attract neutral objects

Answers

Given

Charged objects attract neutral objects.

To find

True or false

Explanation

Neutral objects have both positive and negative charges.It attracts any charged particle

Conclusion

The given statement is True

A hypothesis is a(n) ______________
An independent variable is__________
A dependent variable is___________
To determine the independent variable, what question can you ask yourself?
To determine the dependent variable, what questions can you ask yourself?

Answers

Answer:

It is an educated guess

Explanation:

let me know if the bottom ones need to be answered too.

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Which statement is correct for Michelle, a 5'7", 140 lb. professional body builder?Option A: Michelle's protein needs are identical to any woman her size and weight and age.Option B: Michelle's protein needs are double any woman her size and weight and age.Option C: Michelle's protein needs are triple any woman her size and weight and age.Option D: Michelle's protein needs are four times greater than any woman her size and weight. After Charlemagne's death, medieval political instituation defined led by 7,945100 is equal to which number?7,94579.450.79457.945 Helppppppppppppppppppp most early women's prison employed ____, as distinguished from the ____ of men's prisons. Tendons in a pre-tensioned beams transfer compression force through __________ of the tendon surface with the concrete.Tendons in a post-tensioned beam transfer compression force through _____________ positioned at the ends of the beam.The force that will developed after the time-dependent losses are considered is calledPrestress Loss that developed right after the tendons are cutA method of prestressing beams by applying tension on the tendons after the concrete has gained considerable strength.A method of prestressing beams by applying tension on the tendons first prior to the pouring of the concrete.Loss of prestress due to dry-shrinking of the concrete after it has gained considerable strengthThe initial force exerted on the prestressing tendons produced by the hydraulic jacks is calledPoint on any concrete beam where tension force is eliminatedAn upward vertical deflection caused by the prestressing tendons as it compresses the concrete beam. Also known as negative deflection If a non-professional antigen-presenting cell that lacks co-stimulatory molecules presents peptide: MHC complexes to a T cell specific for that peptide, then 1 point which type of figurative language is used in these lines would awaken suddenly from her reverie / and plunge onto the keyboard jamming the / pedal in like an accelerator * metaphor simile personification metaphor and personification simile and personification Yield to maturity)Fitzgerald's 25-year bonds pay 6 percent interest annually on a $1 comma 000 par value. If the bonds sell at $ 845, what is the bond's yield to maturity? What would be the yield to maturity if the bonds paid interestsemiannually? Explain the difference.a. The bond's yield to maturity if the bond pays interest annually is(Round to three decimal places.)b.The bond's yield to maturity if the bond paid interest semiannually would be(Round to three decimal places.)c.Based on the findings in parts a and b, which of the following statements is correct?(Select the best choicebelow.)A.Other things being equal, the YTM is the same for both an annual bond and a semiannual bond if the bond is selling at a discount.B.Other things being equal, the YTM is the same for both an annual bond and a semiannual bond if the bond is selling at a premium.C.Other things being equal, the YTM is higher for an annual bond than a semiannual bond if the bond is selling at a discount.D.Other things being equal, the YTM is higher for a semiannual bond than an annual bond if the bond is selling at a discount. FILL IN THE BLANK. nirav has a great deal of autonomy at work, feels that his work makes a difference in the world, and has the ability to make positive connections with others. according to ____ , he should be highly motivated. why do the antibody numbers remain higher after the first infection than before it? True or False:The periodic table that is used today is the same as the periodic table that was first developed by the scientist Dmitri Mendeleev Deidre bought one entre, one side, and one drink at the snack bar. Spent $10.40. Which 3 items did she buy?A. PizzaB. Hamburger C. Chicken nuggetsD. SaladE. French friesF. SodaG. Bottled water a 5.95-cm object is placed 33.1 cm away from a convex mirror with a focal length of 10.7 cm.a) what is the distance between the mirror and the image (negative result for a position behind the mirror, a positive result for a position in front of the mirror)? What is the slope of the graph below? what is the passive of Someone looked after him well after the death of his mother. after the initial period of rapid weight loss, the rate of weight loss typically slows. what is one possible explanation for this? Please help !!Determine the x and y value of eachcoordinate A, B, C, DAnswer should look like this: (x,y) Rewrite the equation below so that it does not have fractions.35x+2=412Do not use decimals in your answer.(v +1 -1X 5? Some states have ________, individuals who have graduate training in counseling beyond a bachelor's degree in counseling, but have not obtained a phd.