In 1986, a 35 × 10' kg watch was demonstrated in Canada. Suppose this
watch is placed on a huge trailer that rests on a lightweight platform, and
that oscillations equal to 0.71 Hz are induced. Find the trailer's mass if the
platform acts like a spring scale with a spring constant equal to 1.0 x 10° N/m

Answers

Answer 1

The mass of the trailer would be 0.10 kg

What is the period of a mass spring system?

The period of a mass spring system is said to be directly proportional to the square root of the mass and inversely proportional to the square root of the spring constant.

It is represented thus;

T = 2π × √ m ÷ k

But note that period (T) is the reciprocal of frequency (f)

So, T = 1 ÷ f

Then, T = 2π × √ m ÷ k = 1 ÷ f

Make the mass 'm' the subject of the formula

m = k ÷ 2π^2 × f^2

Where

m = mass

k = spring constant

f = frequency

π = 3. 14

Mass, m = 1. 0 × 10^ 0 ÷ 2× 3.14 × 3.14 × 0.71 × 0. 71

= 1.0 × 1 ÷ 9. 94

= 0. 10 kg

Therefore, the mass of the trailer would be 0. 10kg.

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Related Questions

How much weight can be placed on the spring so that the end of the spring is 2m above the ground?

Answers

The weight must be 288N placed on the end of the spring when it is 2m from the ground.

What is gravitational potential energy?

If an object is lifted, work is done against gravitational force. The object gains energy.

Given is a spring has a spring constant of 48 N/m. The end of the spring hangs 8 m above the ground. The final height of weight above the ground, h =2m

Using Hooke's law, expressed as

Force, F = k (x₂-x₁).

Put the values, we get

F = 48 (8-2)

F = 288 N

This force applied on the spring is equal to the weight placed on the spring.

Weight W= 288N.

Thus, the weight must be 288N.

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a car travels at 50 m/s for first 20 seconds , 30 m/s for next 30 seconds and finally 20 m/s for next 10 seconds . find its average speed

Answers

The average speed traveled by car is [tex]35m/s[/tex].

[tex]1^{st}[/tex] case

Speed[tex]=50m/s\\[/tex]Time [tex]=20s[/tex]

       Distance [tex]=[/tex] [tex]speed*time= 50*20=1000m[/tex]

[tex]2^{nd}[/tex] case

Speed[tex]=30m/s[/tex]Time[tex]=30s[/tex]

       Distance[tex]=30*30=900m[/tex]

[tex]3^{rd}[/tex] case

Speed[tex]=20m/s[/tex]Time[tex]=10s[/tex]

       Distance[tex]=20*10=200m[/tex]

Now, The total distance[tex]=(1000+900+200)m=2100m[/tex]

        Total time[tex]=(20+30+10)s=60s[/tex]

       Average distance [tex]=\frac{total distance}{total time} = \frac{2100}{60}=35m/s[/tex]

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1. What kind of light phenomena happen due to the refraction of light upon hitting the small crystals that make up cirrus or cirrostratus clouds?
2. A light phenomena which are formed when light passes through clouds and strikes
18

the ice crystals in them?
3. A light phenomenon formed from the combination of several light properties like refraction, reflection, and dispersion?
4. Rainbow are created after a rain shower and . 5. What do you call a visible accumulations of tiny water droplets or ice crystals
in the Earth’s atmosphere?
6. Howmanycolorsinrainbow?
7. What kind of rainbows are formed when light strikes small raindrops with almost the same size?
8. What kind of rainbows are formed when two inner reflections are done instead of one; this causes the reversal of colors in a secondary rainbow in comparison to a primary rainbow?
9. What do you call as a reflective surface that is curved inward and away from the light source?
10. What kind of mirror are curved outward like the bottom
of a spoon?

Answers

1. The light phenomena happen due to the refraction of light upon hitting the small crystals that make up cirrus or cirrostratus clouds is called Sundogs.

2.A light phenomena which are formed when light passes through clouds and strikes the ice crystals in them is called Halos.

3.A light phenomenon formed from the combination of several light properties like refraction, reflection, and dispersion is Rainbow.

4.  Rainbow are created after a rain shower and Sun light.

5. A visible accumulations of tiny water droplets or ice crystals.

in the Earth’s atmosphere are called Clouds.

6. There are seven colors in a rainbow.

7. The kind of rainbows are formed when light strikes small raindrops with almost the same size are Supernumerary rainbows.

8.The kind of rainbows are formed when two inner reflections are done instead of one; this causes the reversal of colors in a secondary rainbow in comparison to a primary rainbow are Secondary rainbows.

9. A reflective surface that is curved inward and away from the light source is concave mirror.

10. The kind of mirror are curved outward like the bottom

of a spoon is convex mirror.

What is reflection?

When a light strikes on a shiny surface, it reflects back the light ray in the same medium. The phenomenon is called reflection and the ray is called the reflected ray.

Thus, all the questions are answered.

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The area under a force-time graph represents

Answers

Answer:

Area under force time graph gives ‘impulse ‘

Which statement best defines work? (2 points) Group of answer choices
-Work is the time it takes to move an object once acted upon by a force.
-Work occurs when balanced forces act on an object and cause movement in the direction of these forces.
-Work occurs when a force causes motion of an object, and this motion is in the same direction of the applied force.
-Work is the distance over time that an object moves once acted on by a force.

Answers

Answer:last choice is correct. Work is equally to force times distance

Explanation:to generalize, W is equal to to force as a function of distance integrated over distance. Work is equivilent to energy. See work/force equivalency

For thousands of years people thought that heavier objects fell faster than lighter objects. In fact, this is something that we can sometimes observe in our everyday lives. But according to Galileo this is wrong! His Law of Falling Bodies says that all objects fall at the same rate. After watching the assigned video please comment on how it is possible that Galileo's theory says one thing but our everyday experience says something else.

Answers

Answer:

See below

Explanation:

Gallileo is CORRECT in a vacuum where there is no air friction

  air friction affects same or different weight objects differently  and will cause same-weight   or different weight  objects to fall at different speeds

two forces x and y are acting at 120 degrees to each other, if the magnitude are 8N and 10N respectively determine their resultant​

Answers

The resultant force of both forces is 15.62 N.

What is resultant?

The Resultant of forces is a single force obtained when two or more forces are combined.

To calculate the resultant of the force, we use the formula below.

Formula:

R = √[a²+b²-2abcos∅]..................... Equation 1

Where:

R = Resultant of the forces.∅ = Angle between both forces

From the question,

Given:

a = 8 Nb = 10 N

Substitute these values into equation 1

R = √[8²+10²-2×8×10cos120°]R = √[64+100-160cos120°]R =√ [164-160(-0.5)]R = √[164+80]R = √(244)R = 15.62 N

Hence, the resultant force of both forces is 15.62 N.

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Using the parallelogram law of vectors to obtain the resultant, we have the value 16 N.

What is the resultant force?

The resultant force is that force that has the same effect in magnitude and direction as two forces acting together. In this case, we have two forces , 8 N and 10 N inclined at an angle of 120 degrees

Using the parallelogram law of vectors to obtain the resultant;

R = √([8²+10²)-2×8×10cos120°]

R = √164 +80

R = 16 N

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A lizard climbs up a building 15.5 m and then turns around and goes down the bulding 23.7 m. This takes the lizard 31.5s. what is the average velocity of the lizard?
1.24 m/s Down
0.26 m/s Down
258 m/s Down
3.8 m/s Down

Answers

The average velocity of the lizard for the whole journey is 0.26 m/s Down.

What is average velocity?

The term average velocity has to do with the velocity of the lizard for the whole journey. We can see that the downward displacement is greater than the upward displacement.

Thus;

Velocity = displacement / time = 23.7 m - 15.5 m/31.5s = 0.26 m/s Down.

Thus, the average velocity of the lizard for the whole journey is 0.26 m/s Down.

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Which statement about bout waves is correct?

Answers

Answer:

In light waves, the electromagnetic fields oscillate perpendicular to the direction of propagation. Hence, sound waves are longitudinal waves whereas light waves are transverse waves.

Use the drop-down menus to complete each sentence.

The height of the cylinder is manipulated. This is the
variable.

The temperature of the water changes as the height of the cylinder changes. The temperature of the water is therefore the
variable.

A “constant” is a parameter that stays the same regardless of the variables. One parameter of the system that is held constant is the
.

Answers

One parameter of the system that is held constant that can be considered is the mass of the water.

What is a constant?

In science, the constant is a type of unmodified variable that remains equal along with the experimental procedure.

The constants of a particular system must be considered and they cannot change in experiments or observations.

In conclusion, one parameter of the system that is held constant that can be considered is the mass of the water.

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what are transistors and its types

Answers

Answer:

A transistor is a semiconductor device used to amplify or switch electronic signals. Transistors are broadly divided into three types: bipolar transistors (bipolar junction transistors: BJTs), field-effect transistors (FETs), and insulated-gate bipolar transistors (IGBTs).

Explanation:

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Identifying Characteristics of Solids
Use the drop-down menus to complete the statements.
The atoms in a solid
The arrangement of atoms in a solid causes it to have a definite
rn are called
solids.??? Please help
Me it’s due RN

Answers

The solids whose particles occur in a definite pattern are called crystaline solids.

What is a crystalline solid?

The term crystalline solid has to do with the type of solid in which the atoms that components that make up the solid are all in definite positions and occur in a regular repeating pattern.

The particles of a solid are found in fixed positions. The solids whose particles occur in a definite pattern are called crystaline solids.

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a. Remain in a fixed position.

b .  Crystalline solids

What are the properties of solid?

Some properties of solid are:

solid have a fixed shape and a fixed volumesolid cannot be compressedsolids have high density.force of attraction between the particles in solid is very strong.The space between the particles of solids is negligible.atoms are remain in a fixed position

The properties of crystalline solid

The atoms that components that make up the solid are all in definite positions Atoms occur in a regular repeating pattern.

Hence , The particles of a solid are  in fixed positions.

The arrangement of atoms in a solid causes it to have a definite are called crystalline solids.

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Question: How does a lunar eclipse occur? What evidence can you provide to explain that?

Think!!!! Write Claim, Reasoning and add evidence.

Answers

Answer:

Claim: Lunar eclipses occur when Earth passes between the Sun and the Moon, blocking the sunlight falling on it.

Evidence: A lunar eclipse is caused by Earth blocking sunlight from reaching the moon and casting a shadow across its surface. A lunar eclipse occurs when the Moon and Sun are on opposite sides of Earth. Sun-blocking Earth casts two shadows on the moon: The umbra is a full, dark shadow, and the penumbra is a partial shadow. Lunar eclipses can be divided into two types: total and partial. A total lunar eclipse occurs when the Moon and Sun are on opposite sides of Earth. A partial lunar eclipse happens when only part of Earth's shadow covers the Moon.

Reasoning:  The Moon moves into the shadow of the Earth during a lunar eclipse. This can occur only when the Sun, Earth, and Moon are exactly or very closely aligned (in syzygy) with Earth between the other two, which can happen only on the night of a full moon when the moon is near either lunar node.

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Answer:

Claim: Lunar eclipses occur when Earth passes between the Sun and the Moon, blocking the sunlight falling on it.

Evidence: A lunar eclipse is caused by Earth blocking sunlight from reaching the moon and casting a shadow across its surface. A lunar eclipse occurs when the Moon and Sun are on opposite sides of Earth. Sun-blocking Earth casts two shadows on the moon: The umbra is a full, dark shadow, and the penumbra is a partial shadow. Lunar eclipses can be divided into two types: total and partial. A total lunar eclipse occurs when the Moon and Sun are on opposite sides of Earth. A partial lunar eclipse happens when only part of Earth's shadow covers the Moon.

Reasoning:  The Moon moves into the shadow of the Earth during a lunar eclipse. This can occur only when the Sun, Earth, and Moon are exactly or very closely aligned (in syzygy) with Earth between the other two, which can happen only on the night of a full moon when the moon is near either lunar node.

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a steam engine work on its vicinity 285 k heat is released with the help of 225 c energy absorbed to the system what is the efficiency of steam engine explain the use of the rest of the energy physic problem

Answers

Efficiency= change in Energy/ time or useful work done/ time

The efficiency of steam engine is  26.66 %.

What is Efficiency?

The efficiency is defined as the work done by the engine divided by the heat supplied.

Work done is the difference between the heat supplied and heat rejected.

So, efficiency η = (Qs -Qr) / Qs

Given is the heat supplied Qs = 225 Joules and heat rejected Qr =285 . then the work done is

W = 225 -225 = - 60 Joules

Efficiency η  = 60/225 x 100%

η = 26.66 %

Thus, the efficiency of the steam engine is  26.66 %.

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A person in a hurry averages 70mph on a trip covering a distance of 500 m. what time was required to travel that distance?

Answers

The time required to travel that distance at the given speed is determined as 15.84 seconds.

Time of motion

The time of motion of the person is calculated as follows;

Distance = speed x time

time = distance/speed

where;

distance = 500 m = 0.31 mile

time = (0.31 mile)/(70 mph)

time = 0.0044 hr = 15.84 seconds

Thus, the time required to travel that distance at the given speed is determined as 15.84 seconds.

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Andrea is investigating how increasing the concentration of sugar affects the boiling point of the solution. What would be the best way to present the results to help Andrea see if there is a pattern?

Answers

An increase in the concentration of sugar in a solution leads to the increase in boiling point of the solution.

What is boiling point?

Boiling point of a solution is that pressure exerted on a liquid by its surrounding is equal to the vapour pressure of the liquid.

When there is an increase in concentration of solute, more space will be occupied in the fluid leading to an increase in the boiling point of the fluid.

Therefore, An increase in the concentration of sugar in a solution leads to the increase in boiling point of the solution.

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State and prove bessel inequality​

Answers

Answer:

hope this helps and if you have any questions please feel free to ask me any time

Statement :- We assume the orthagonal sequence [tex]{{\{\phi\}}_{1}^{\infty}}[/tex] in Hilbert space, now [tex]{\forall \sf \:v\in \mathbb{V}}[/tex], the Fourier coefficients are given by:

[tex]{\quad \qquad \longrightarrow \sf a_{i}=(v,{\phi}_{i})}[/tex]

Then Bessel's inequality give us:

[tex]{\boxed{\displaystyle \bf \sum_{1}^{\infty}\vert a_{i}\vert^{2}\leqslant \Vert v\Vert^{2}}}[/tex]

Proof :- We assume the following equation is true

[tex]{\quad \qquad \longrightarrow \displaystyle \sf v_{n}=\sum_{i=1}^{n}a_{i}{\phi}_{i}}[/tex]

So that, [tex]{\bf v_n}[/tex] is projection of [tex]{\bf v}[/tex] onto the surface by the first [tex]{\bf n}[/tex] of the [tex]{\bf \phi_{i}}[/tex] . For any event, [tex]{\sf (v-v_{n})\perp v_{n}}[/tex]

Now, by Pythagoras theorem:

[tex]{:\implies \quad \sf \Vert v\Vert^{2}=\Vert v-v_{n}\Vert^{2}+\Vert v_{n}\Vert^{2}}[/tex]

[tex]{:\implies \quad \displaystyle \sf ||v||^{2}=\Vert v-v_{n}\Vert^{2}+\sum_{i=1}^{n}\vert a_{i}\vert^{2}}[/tex]

Now, we can deduce that from the above equation that;

[tex]{:\implies \quad \displaystyle \sf \sum_{i=1}^{n}\vert a_{i} \vert^{2}\leqslant \Vert v\Vert^{2}}[/tex]

For [tex]{\sf n\to \infty}[/tex], we have

[tex]{:\implies \quad \boxed{\displaystyle \bf \sum_{1}^{\infty}\vert a_{i}\vert^{2}\leqslant \Vert v\Vert^{2}}}[/tex]

Hence, Proved

When the eyes are closed, what sensory organs provide such information?

Answers

Answer:

Explanation:

the inner ears and proprioreceptors

If the period of a wave is 9.2 s, what is its frequency (in Hz)?

Answers

The period of the function is the inverse of the frequency:

 ⇒ (in other words) [tex]period = \frac{1}{frequency}[/tex]

Since the period is 9.2s:

 [tex]Frequency = \frac{1}{period}=\frac{1}{9.2} =0.11_.Hz[/tex]

Answer: 0.11 Hz

Hope that helps!

The nuclear reaction that powers the sun involves the fusion of four protons (mp = 1.673x10-27 kg) into a helium nucleus (mHe = 6.645x10-27 kg). The process involves several steps, but the net reaction is simply: 4p  He + energy. How much energy is released overall in each fusion process? Give your answer in J and MeV

Answers

Explanation:

it's 5 + 5 + 5 + 12 + 5 x 7 x 7 7+ 8 5+6+ +8 +9 + 9 5

why is electric current scalar quantity with having direction ?​

Answers

Explanation:

It represents the direction of flow of positive charge but is treated as a scalar quantity because current follows the laws of scalar addition and not the laws of vector addition. The angle between the wires carrying current does not affect the total current in the circuit.

Answer:

It represents the direction of flow of positive charge but it is treated as a scalar quantity because current follows the laws of scalar addition and not the laws of vector addition, because the angle between the wires carrying current does not affect the total current in the circuit.

When a metal sphere is dropped in to a tall cylinder containing liquid its acceleration is g/2 (gravity over 2). Shaow that : density of metal =2density of liquid

Answers

Answer:

Fm is the net force down on the metal in air

Fm / 2 is the net force down on the metal in liquid

Fl is the buoyant force on the metal due to liquid

Fm - Fl = Fm / 2      equating upward and downward forces

Fm / 2 = Fl    

The specific gravity of the metal is twice that of the liquid

Note: F = M g = ρ V g     since ρ = M / V

Ultrasound is used to scan the unborn baby of a pregnant mother.
The detector receives an echo from the skull of the fetus 58 us after the pulse leaves the ultrasound
scanner.
Calculate the distance from the ultrasound scanner to the skull to 2 significant figures.
Give the unit for your answer.
(The speed of ultrasound in soft tissue is 1540 m/s

Answers

Explanation:

Echo method formula for speed of sound : 2 x distance / time taken

2 x distance / 58 = 1540 m/s
2 x distance = 1540 m/s / 58 s
= 26.55172414 m
Distance = 26.55172414 / 2
= 13.27586207
= 13 m

A concave mirror has a radius of curvature of 1.6m. Find the focal length

Answers

given,

Radius of curvature of concave mirror = 1.6m

We know that ,

Focal length = radius/2

Hence ,

Focal length of concave mirror = radius of concave mirror /2

=> F = 1.6/2

=> F = 0.8m

Hence the focal length of concave mirror is 0.8 m

Answer:

given,

Radius of curvature of concave mirror = 1.6m

We know that ,

Focal length = radius/2

Hence ,

Focal length of concave mirror = radius of concave mirror /2

=> F = 1.6/2

=> F = 0.8m

Hence the focal length of concave mirror is 0.8 m

Explanation:

ten-story building has identical stairs throughout its stairways. A student calculates the amount of work required to climb one set of stairs and the amount of work to climb the entire ten sets.


Which quantity will remain constant in this experiment?

Answers

Answer:

c

Explanation:

Predict the gravitational force between two 15-kg balls whose centers are 35 m apart.

Answers

[tex]F=G\frac{m_1-m_2}{r^2}[/tex]

[tex]=\frac{(6.67\times10^{-11}N*m/kg^2)(15kg) }{(0.35m)^2}[/tex]

[tex]=1.2\times10^{-7} N[/tex]

Because the weight of one ball is mg = 147 N, the gravitational force between the two balls is [tex]1.2\times10^{-7}N[/tex] or [tex]8.4*10^3[/tex] parts per billion of the  weight.

Two friends decide to start selling their drone camera aerial footage. Which economic question have they answered?

For whom to produce?

How much to produce?

How to produce?

What to produce?

Answers

The brothers that want to start selling their drone camera aerial footage have answered the question, what to produce.

What is an economic question?

The term economic question is a question that evaluates the processes involved in production. These questions are;

For whom to produce?How much to produce?How to produce?What to produce?

In this case, the brothers that want to start selling their drone camera aerial footage have answered the question, what to produce.

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Answer:What to produce

Explanation:

1. Name three products excreted by plants but commercially used by man. Also state the purpose for which they are used

Answers

Answer:

1) Oxygen, It is made as a by-product of photosynthesis. it is used for breathing.

2) Gums, It is a degradation product of cells. It is used in cosmetics, pharmaceuticals, etc.

3) Latex, It is made from the sap of rubber trees. It is used in the manufacture of rubber products.

Explanation: Hope it helps you:))))

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If u add 1.362 and 25.2 what is the correct answer?

Answers

Answer:

26.562

Explanation:

1+25= 26

0.362+0.2= 0.562

26+0.562= 26.562

or just use a calculator

Make a 1000-cm³ container. What
will be the dimensions of the
length, width, and height? How
much water will this container
hold? What is the mass of this
amount of water?

Answers

Answer:

see below

Explanation:

OK....here is one :

  L    W    H

 10 x 10 x 10  cm   =   1000 cm^2     this is a cube

    the container will hold the volume  of  1000 cm^3  of water

       which will have a mass  1 kg    ( this is a liter)

 

Other Questions
1: In a mixed capitalist economy (select all that apply)*2 pointsThe government controls the economyThe government creates policies to regulate the economy to make it fairPeople own and control capital to make profitsThe economy is complete laissez-faire2: How do monopolies, which are when a single business is so successful that it becomes the only source of a product or service, harm capitalist economies?*1 pointThey prevent fair free enterprise, which stops competition between businesses to provide consumers better services and productsThey do not, for businesses grouping together always helps the consumerThey do not, for they always follow the law of supply and demandThey are the result of too much government regulation that stalls the economy3: What are the differences between fiscal and monetary policy?*1 pointFiscal policy is the ability to control the money supply and the availability of credit in the economy whereas monetary policy is the power to tax and spendMonetary policy is the ability to control the money supply and the availability of credit in the economy whereas fiscal policy is the power to tax and spendThey are the same thingThe President has complete control over the nations monetary policy whereas the President has no control over the fiscal policy4: How does the Federal government influence the US economy (select all that apply)?*3 pointsThrough a variety of government agencies, such as the Federal Reserve System and the Securities and Exchange Commission, that seek to enforce fair policies and marketsBy directly controlling the marketBy providing tax cuts and deficit spending when necessaryBy raising or lowering the discount rate Read the excerpt from "A Genetics of Justice by Julia Alvarez.Periodically, Trujillo would demand a tribute, and they would acquiesce. A tax, a dummy vote, a portrait on the wall. To my father and other men in the country, the most humiliating of these tributes was the occasional parade in which women were made to march and turn their heads and acknowledge the great man as they passed the review stand.If you did not march, your cdula would not be stamped, and without a stamped identification card, you could do nothing; in particular, you could not obtain your passport to leave the country under the pretext of wanting to study heart surgery. This was the second escapethis time with his whole familythat my father was planning.The day came when my mother had to march.Which statement best explains how the author develops the central idea throughout the passage?Alvarez shows that the parades were embarrassing but were not a serious matter.Alvarez shows that Trujillo enjoyed it when people paid attention to him.Alvarez shows that refusing to obey Trujillo's requests could be dangerous.Alvarez shows that women played an important part in political life. REASONING A rectangular box has dimensions of x inches by (x+5) inches by (x2) inches. The volume of the box is 30x cubic inches. Find the dimensions of the box. Write the dimensions in ascending order. In a certain week, the time Lisa spent onsport was 3 hours less than twice the timeshe spent doing her school homework. Thetime she spent on reading was of the timeshe spent doing her school homework. Thetotal time she spent on these threeactivities was 30 hours in that week. 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Convert the values in scientific notation to standard notation.The mass of Ganymede is 1.48E23, or , kilograms.The mass of Pandora is 2.20E17, or , kilograms. I need help, please. I dont understand What conclusion can you draw from the attempt by the Netherlands to suppress the Indonesian Republic declared by Sacaro ? 9. A protein molecule which is denatured, hasa. split into smaller moleculesc. Changed its shapeb. combined with another molecule d. been diluted Which two themes does Hemingway develop in The Old Man and the Sea?Good things come to those who are patient.There is always a chance of failing when one takes a risk.It takes bravery and determination to conquer defeat.Mistakes often result in powerful lessons. Find the following integrals Is there a relation between Deforestation and photosynthesis? Explain your answer. The part of a fictional textwhere tension is introducedand the story gets its"kick-off" is called theA. Inciting Incident.B. Climax.C. Exposition. solve the proportion find the smallest number by which 84 must be multiplied to make a perfect square? Enter a positive value for d that makes this statement true: 18 *d less than 18 but greater than 0