20 POINTS! Two similar solids have heights of 6 cm and 9 cm. If the volume of the smaller solid is 88 cm^3, calculate the volume of the larger solid.

PLEASE give an explanation with your answer! PLEASE!​

Answers

Answer 1

Answer: [tex]132cm^{3}[/tex]

Explanation:

The volume [tex]V[/tex] of a solid is given by the multiplication of its three dimensions:

[tex]V=(height)(widgth)(length)[/tex]

In this case we have two similar solids with volumes  [tex]V_{1}=88cm^{3}[/tex] and [tex]V_{2}[/tex], and we only have information about the height of each solid [tex]h_{1}=6cm[/tex] and [tex]h_{2}=9cm[/tex].

Now, there is a theorem for  similar solids, which establishes the ratio of their volume is [tex]\frac{V_{1}}{V_{2}}[/tex] and the ratio of one of their corresponding sides (the height in this case) is [tex]\frac{h_{1}}{h_{2}}[/tex].

Knowing this, we can write the following relation:

[tex]\frac{V_{1}}{V_{2}}=\frac{h_{1}}{h_{2}}[/tex]

Substituting the known values:

[tex]\frac{88cm^{3}}{V_{2}}=\frac{6cm}{9cm}[/tex]

Fially finding [tex]V_{2}[/tex]:

[tex]V_{2}=132cm^{3}[/tex]

Answer 2

Final answer:

The volume of the larger solid is found by cubing the linear dimension ratio (which is 2:3 for the heights of the two solids) and then multiplying by the volume of the smaller solid. This calculation results in a volume of 968 cm³ for the larger solid.

Explanation:

When comparing the volumes of two similar solids, the ratio of their volumes is the cube of the ratio of their corresponding linear dimensions. Since the heights of the two solids are 6 cm and 9 cm, we use the ratio of their heights (6:9) which simplifies to 2:3. The volume of the larger solid is then calculated by cubing the ratio (2:3) and multiplying it by the volume of the smaller solid:[tex]V_{smalller}[/tex]

[tex]V_{larger}[/tex] = (3/2)³ × [tex]V_{smalller}[/tex] = (27/8) × 88 cm³ = 11 × 88 cm³ = 968 cm³.

Therefore, the volume of the larger solid is 968 cm³.


Related Questions

Sound is a disturbance that travels through a medium as a

Answers

Answer:

Sound waves. Anything that vibrates is producing sound; soundis simply a longitudinal wave passing through a medium via the vibration of particles in themedium. Consider a sound wavetraveling in air

The overall function of the calvin cycle is __________.

Answers

Answer:

the primary function of the Calvin cycle is to make organic products plants need, using the products from the light reactions of photosynthesis (ATP and NADPH).

Explanation:

hope this helped

What event do you think caused the universe to start expanding?

Answers

Answer:   Astronomers theorize that the faster expansion rate is due to a mysterious, dark force that is pulling galaxies apart.

Explanation:

Astronomers theorize that the faster expansion rate is due to a mysterious, dark force that is pulling galaxies apart.

The event that the faster expansion rate is due to a  dark force that is pulling galaxies apart.

What is universe?

Universe is the whole cosmic system of matter and energy. The Earth, the Sun, the Moon, the planets, the stars along with the ,dust , gases, rocks forms the universe.

The big bang is the theory which explains that how the universe began. It says that the universe began with just a single point. It went on expanding and stretched to grow as large as possible. It is still now expanding.

The universe consist of fully dark matter, interstellar gases or dust. The big bang is increasing just because in universe there is abundant of hydrogen and helium.

The radiations come from the big bang. These rays are also called as cosmic wave. This universe is  still on it way of expanding more.

Thus, the faster expansion rate is due to a  dark force  pulling the galaxies apart.

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An iron cube has edge 15cm long at 20c .What will be? The new surface area of a face when the temperature rises to 80c

Answers

Final answer:

The question requires calculating the new surface area of the face of an iron cube after it undergoes thermal expansion due to a temperature increase, using the concepts of thermal physics.

Explanation:

The question revolves around the thermal expansion of an iron cube when its temperature rises. The expansion can be understood through physics, specifically the concepts of thermal physics. To find the new surface area after the cube has been heated, we need to calculate the new length of an edge using the coefficient of linear thermal expansion for iron and the temperature change. Once the new edge length is determined, the new surface area of a face can be calculated by squaring the length of one edge. Since cubic expansion affects each dimension equally, the change in surface area can be determined by considering the square of the ratio of the new edge length to the original edge length.

William WangHomework #33 Regents Review (3)0989Assignment Mode : Open (Time On Task) 9 of 25 ListenDuring a collision, an 84-kilogram driver of a car moving at 24 meters per second is brought to rest by an inflating air bag in 1.2 seconds. The magnitude of the force exerted on the driver by the air bag is approximately7.0 × 101 N8.2 × 102 N1.7 × 103 N2.0 × 103 NTime on question: 00:02:59

Answers

Answer:

[tex]1.7\cdot 10^3 N[/tex]

Explanation:

The impulse theorem states that the product between the force and the time interval of the collision is equal to the change in momentum:

[tex]F \Delta t = m \Delta v[/tex]

where

F is the force

[tex]\Delta t[/tex] is the time interval

m is the mass

[tex]\Delta v[/tex] is the change in velocity

Here we have

m = 84 kg

[tex]\Delta t = 1.2 s[/tex]

[tex]\Delta v = 24 m/s[/tex]

So we can solve the equation to find the force:

[tex]F= \frac{m \Delta v}{\Delta t }=\frac{(84 kg)(24 m/s)}{1.2 s}=1680 N \sim 1.7\cdot 10^3 N[/tex]

A stone is thrown straight up from the edge of a roof, 925 feet above the ground, at a speed of 20 feet per second. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 6 seconds later?

Answers

Answer: 469 feet

Explanation:

This problem is a good example of Vertical motion, where the main equation for this situation is:

[tex]y=y_{o}+V_{o}t-\frac{1}{2}gt^{2}[/tex] (1)

Where:

[tex]y[/tex] is the height of the stone at 6s (the value we want to find)

[tex]y_{o}=925ft[/tex] is the initial height of the stone

[tex]V_{o}=20ft/s[/tex] is the initial velocity of the stone

[tex]t=6s[/tex] is the time  at which we need to find the height

[tex]g=32ft/s^{2}[/tex] is the acceleration due to gravity

Having this clear, let's find [tex]y[/tex] from (1):

[tex]y=925ft+(20ft/s)(6s)-\frac{1}{2}(32ft/s^{2})(6s)^{2}[/tex] (2)

Finally:

[tex]y=469ft[/tex] This is the height of the stone at t=6s

Final answer:

The stone is 469 feet above the ground 6 seconds after it is thrown straight up from the edge of a roof.

Explanation:

To calculate how high the stone is 6 seconds later after being thrown straight up from the edge of a roof at a speed of 20 feet per second, we can use the kinematic equation for uniformly accelerated motion:

h = h0 + v0t + ½at2

where:
h is the final height,
h0 is the initial height (edge of the roof),
v0 is the initial velocity,
a is the acceleration due to gravity (which is negative here),
and t is the time.

Given values:
h0 = 925 feet (initial height),
v0 = 20 feet/second (initial velocity),
a = -32 feet/second2 (acceleration due to gravity),
t = 6 seconds (time).

Plugging in the given values, we get:

h = 925 feet + (20 feet/second × 6 seconds) + ½(-32 feet/second2)(6 seconds)2
  = 925 + 120 - 576
  = 1045 - 576
  = 469 feet

So, 6 seconds later, the stone is 469 feet above the ground.

Aristotle's ideas about falling bodies were accepted for more than a thousand
years. Why did a new idea replace Aristotle's ideas?
O
A. The new idea was supported by experimental evidence.
B. The new idea was supported by the leaders of the time.
O
O
C. The new idea was more modern.
O
D. The new idea was more popular.

Answers

It should be A, the new idea was supported by experimental evidence since Galileo conducted the free fall experiment about 400 years ago, resulting in steel balls of different mass landing at the same time, overriding Aristotle’s theory that “heavier steel ball falls first”.

Answer: A. The new idea was supported by experimental evidence

A P E X

Explanation:

Energy is released during the fission of pu-239 atoms as a result of the

Answers

Answer: process of converting matter into energy

Nuclear fission consists of dividing a heavy nucleus into two or more lighter or smaller nuclei, by means of the bombardment with neutrons to make it unstable. In this process that takes place in the atomic nucleus, neutrons, gamma rays and large amounts of energy are emitted.  

Then, with this division a great release of energy occurs and the emission of two or three neutrons, other particles and gamma rays.  

This means fission is a process in which energy is released by  the separation of the components of the nucleous of the atom.

In other words:

Matter is converted to energy .

when one end of iron poker is put into the edge of a fire the other end of the poker gets hot due to what the heat transfers?

A) Convection
B) Conduction
C) Insulation
D) Radiation

Answers

Answer:

The answer is B) Conduction

: Conduction is the AWNSER

Explanation: just trust me

A spaceship is designed to support animal life for a multiyear voyage to the outer planets of the solar system. Plants will be grown to provide oxygen and to recycle carbon dioxide. Since the spaceship will be too far from the sun for photosynthesis, an artificial light source will be needed.

13) What wavelengths of light should be used to maximize plant growth with a minimum of energy expenditure?
A) full-spectrum white light
B) green light
C) a mixture of blue and red light
D) UV light

Answers

Answer:

C) a mixture of blue and red light

Explanation:

A grow light is an artificial source of light which is used to stimulate growth of plant by providing electric light appropriate for photosynthesis. These lights are used when there is no natural light available like the given situation in the question.

A mixture of Red and Blue light can be used to stimulate growth and regulate it. Red light stimulates growth while blue light regulates it. It is very cost effective solution.

Thus, option C is correct.

To maximize plant growth with a minimum of energy expenditure in a spaceship where natural sunlight is not available, a mixture of blue and red light should be used. Option C is the correct answer.

Blue light has a shorter wavelength and is essential for promoting vegetative growth, root development, and the overall health of plants. It plays a crucial role in regulating plant growth hormones and influencing various physiological processes. Option C is the correct answer.

Red light has a longer wavelength and is crucial for photosynthesis, the process by which plants convert light energy into chemical energy. Red light is absorbed by chlorophyll, the pigment responsible for capturing light energy, and is used in the synthesis of carbohydrates and other essential molecules needed for plant growth. By providing a mixture of blue and red light, the spaceship can simulate the necessary light spectrum required for optimal plant growth. This combination allows plants to efficiently utilize the light energy provided while minimizing energy expenditure.

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The planet earth travels in a circular orbit at constant speed around the sun. What is the net work done on the earth by the gravitational attraction between it and the sun in one complete orbit? Assume that the mass of the earth is given by me

Answers

Answer:

Zero

Explanation:

The work done by a force on an object is given by:

[tex]W=Fd cos \theta[/tex]

where

F is the magnitude of the force

d is the displacement of the object

[tex]\theta[/tex] is the angle between the direction of the force and the displacement

In this problem, the force is the gravitational attraction between the Earth and the Sun, which points always towards the Sun. Therefore, the force is always perpendicular to the displacement of the Earth (which moves tangentially to its circular path). As a result, the angle in the formula is 90 degrees, which means that the cosine part is zero: so, the work done by the gravitational force is always zero, because the force is always perpendicular to the displacement.

An electrically neutral balloon is rubbed on cloth and becomes positively charged. What can be said about its mass?

Answers

Answer:

the mass is the same

Explanation:

the mass of electrons is negligible so losing some to become positively charged causes no change in mass

Answer:

There is net transfer of energy and more over the balance between the number of charge particles occurs when there is some contact between any two surfaces or bodies. So, when an electrically neutral balloon is rubbed on a cloth and becomes positively charged it is just because of the number of charges that are transferred from a more charged body towards a body of having less charges on it. So, the masses of the positrons and the electrons are some how equal when compared.

Making, it more easy to understand that the two surfaces will have an equal number of positrons and electrons on both the bodies or object's surfaces.

Compare and contrast scientific theory and scientific law

Answers

Answer:

Similarities:

Both are based on observation.Both are supported by empirical dataBoth are tested repeatedlyBoth are accepted by scienceBoth are based on natural phenomena

Differences:

Scientific law just describes a phenomenon. It does not give an explanation as to why the phenomenon occurs. It predicts an outcome of an event based on its initial condition.Scientific theory gives an explanation as to why an event had occurred.Laws are more resistant to change.Theories can be refuted and accepted, and develop other theories as well

Take note:

A scientific theory cannot be "upgraded" into a law, and a scientific law cannot be changed into a theory.

Scientific laws describe generalized patterns in nature, often with mathematical equations like Newton's second law of motion (F = ma), while scientific theories, such as the Theory of Evolution, offer complex explanations for a group of related phenomena. Laws illustrate what happens and theories explain why it happens. Scientific theories do not turn into scientific laws with new evidence.

Comparing Scientific Theory and Scientific Law

Scientific laws and scientific theories are foundational to understanding the natural world but serve different purposes within scientific inquiry. Scientific laws are concise descriptions of a generalized pattern in nature, often expressed through a mathematical equation. For instance, the law of conservation of energy that states energy is conserved in any process is a prime example of a scientific law. Another example is Newton's second law of motion (F = ma), describing the relation between force, mass, and acceleration.

On the other hand, a scientific theory provides an explanation for a broad range of phenomena, such as the Theory of Evolution or the Theory of Relativity. Theories are more complex, interpreting a group of related phenomena and are the result of a scientific method. While laws describe what happens, theories explain why it happens.

Laws vs. Theories: It's a misconception that theories transform into laws with more evidence. Instead, laws describe patterns we observe in data and are usually written as equations. Theories, which remain theories irrespective of new evidence, offer explanations for the patterns described by laws.

How long did the wright brothers first flight last

Answers

Answer: 59 seconds

Explanation:

Answer:59 seconds

Explanation:

HELPPP MEEE PLEASSSE ASAP IT WOULD MEAN ALOT

Answers

C. Lenses form images byvrefracting light; mirrors do not

The world is divided into how many time zones

Answers

Answer:

24 time zones

Explanation:

A subatomic particle could have a charge of
(1) 5.0 × 10–20 C (2) 8.0 × 10–20 C (3) 3.2 × 10–19 C (4) 5.0 × 10–19 C

Answers

Answer:

(3) 3.2 × 10–19 C

Explanation:

The charge of a subatomic particle can only be an integer multiple of the fundamental charge, which is

[tex]q=1.6\cdot 10^{-19} C[/tex]

So, let's analyze the 4 options:

(1) 5.0 × 10–20 C

[tex]\frac{5.0\cdot 10^{-20}C}{1.6\cdot 10^{-19} C}=0.31[/tex] --> not an integer number

(2) 8.0 × 10–20 C

[tex]\frac{8.0\cdot 10^{-20}C}{1.6\cdot 10^{-19} C}=0.5[/tex] --> not an integer number

(3) 3.2 × 10–19 C

[tex]\frac{3.2\cdot 10^{-19}C}{1.6\cdot 10^{-19} C}=2[/tex] --> integer number

(4) 5.0 × 10–19 C

[tex]\frac{5.0\cdot 10^{-19}C}{1.6\cdot 10^{-19}C}=3.13[/tex] --> not an integer number

So, the only option which is correct is (3).

Answer:

(1) 5.0 × 10–20 C (2) 8.0 × 10–20 C (3) 3.2 × 10–19 C (4) 5.0 × 10–19 C

Explanation:

3.2 × 10–19 C

Which of the following describes water?

A.Is a substance that dissolves only a few other substances; has weak cohesive forces between molecules.

B.Is a substance that dissolves only a few other substances; has strong cohesive forces between molecules.

C.Is a substance that requires a small amount of energy per gram to raise its temperature; has strong cohesive forces between molecules.

D.Is a substance that requires a large amount of energy per gram to raise its temperature; has strong cohesive forces between molecules.

Answers

Final answer:

The correct description of water is that it has a high specific heat and strong cohesive forces between molecules, which means it requires a large amount of energy to increase its temperature.

Explanation:

Among the options provided in the question, the correct answer regarding the properties of water is D. Water is a special substance with many unique characteristics due to its structure and interactions. One of its key features is that it requires a large amount of energy per gram to raise its temperature. This property is known as water’s high specific heat, and it is because the hydrogen bonds between water molecules must be broken to increase motion (temperature), which takes a considerable amount of energy. Additionally, water has strong cohesive forces between its molecules, which lead to a high degree of cohesion and contribute to its high boiling point compared to molecules of similar size.

The velocity of a car traveling in a straight line increases from 0 meters/second to 30 meters/second in 8 seconds. What is the average acceleration of the car? A. 3.75 meters/second B. 3.75 meters/second2 C. 0.27 meters/second2 D. 0.27 meters/second

Answers

Answer:

B. 3.75 meters/second2

Explanation:

The velocity of a car traveling in a straight line increases from 0 meters/second to 30 meters/second in 8 seconds. What is the average acceleration of the car;

acceleration = (change in velocity)/(change in time)

acceleration = ( 30 - 0)/(8)

acceleration = 3.75 meters/second2

What results from an unequal sharing of electrons between atoms?

Answers

Answer:

Covalent bond between two atoms with unequal electronegativities results in unequal sharing of electrons.

Explanation:

Unequal sharing of electrons between two atoms results in polar covalent bonds, characterized by partial charges on the atoms, due to different electronegativities.

When unequal sharing of electrons occurs between two atoms, it results in a polar covalent bond. This type of bond is characterized by the partial charges that develop on the atoms involved. Atoms with higher electronegativities attract the bonding electrons more strongly, leading to a partial negative charge on the more electronegative atom and a partial positive charge on the less electronegative one.

The unequal sharing of electrons and the resulting polar covalent bonds are crucial concepts because they influence molecular structure, physical properties, and reactivity.

For example, water (H₂O) has polar covalent bonds between hydrogen and oxygen, with the oxygen atom having a partial negative charge and the hydrogen atoms having partial positive charges. This polarity allows water to dissolve various substances, making it an excellent solvent.

It's time for Santa to deliver his presents. Assuming he delivers presents all over the world, he has to travel about 75,000,000 miles. If he travels East to West, he can use the time zones to make Christmas day last 31 hours. What speed, in miles per hour, must Santa fly to get all of his presents delivered?

Answers

2,419,354.8387960000

Which radioisotope is used in dating geological formations?

Answers

Answer: U-238

Explanation:

Let's begin by explaining that for radioactive geological dating (also called radioisotope dating) in which radioactive impurities were selectively incorporated when the fossil materials were formed, it is very useful to compare it with a naturally occurring radioisotope having a known half-life.

Now, taking into account that the fossils are millions and millions of years old, radioisotopes are needed that exceed this measure.

To understand it better:

The longer the half-life of a radioisotope, the greater its utility for estimating fossil ages or geological formations.

In this sense, uranium-238 (U238) has a half-life of 4,470 million years, therefore, it is among the most commonly used radioisotopes for fossil and geological dating.

A plane flying horizontally at an altitude of 1 mile and a speed of of 500mih passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2mi away from the station.

Answers

Answer:

447.2 mph

Explanation:

The vertical distance from the plane to the station is 1 mile.

The horizontal distance from the plane to the station is x miles.

The distance between the plane and station is therefore:

d² = 1² + x²

Taking derivative with respect to time:

2d dd/dt = 0 + 2x dx/dt

d dd/dt = x dx/dt

We know that x = 2 miles and dx/dt = 500 mi/hr.  We need to find d when x=2.

d² = 1² + 2²

d² = 5

d = √5

Therefore:

√5 dd/dt = (2) (500)

dd/dt = 1000/√5

dd/dt = 200√5

dd/dt ≈ 447.2 mph

In which item is energy stored in the form of gravitational potential energy? A. A slice of bread B. A compressed spring C. An apple on a tree D. A stretched bow string

Answers

The things that determine the amount of an object's gravitational potential energy are ...

-- mass of the object

-- gravitational acceleration in the place where the object is

-- height of the object above the ground or the floor

A). a slice of bread; No.  It's still a slice of bread even if it's on the ground.

B. A compressed spring; No.  It's still a compressed spring even if it's on the ground.

C. An apple on a tree; Yes !  It can't be an apple on a tree if it's on the ground.  

D. A stretched bow string; No.  It's still a stretched bowstring even if it's on the ground.

Final answer:

Gravitational potential energy is the energy stored in an object due to its height above the ground. An apple on a tree possesses gravitational potential energy because it has the potential to fall due to gravity.

Explanation:

The item in which energy is stored in the form of gravitational potential energy is an apple on a tree (option C). Gravitational potential energy is the energy stored in an object due to its position above the ground. The higher the position of the object, the higher its gravitational potential energy. In this case, an apple hanging on a tree has a potential of falling to the ground due to gravity, hence it has gravitational potential energy.

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Imagine air is flowing in the upper atmosphere. this air begins above the equator and travels toward the north pole. due to the coriolis effect, in which direction is the air turned?

Answers

Answer:  The air gets warmer and rises then it goes back toward the poles

Explanation: Hope this helps, tell me if it didn't.

Answer:

Towards the right

Explanation:

The equator is the region which receives maximum amount of sunlight. Due to this, the area experiences more heat and the air in this region becomes warm, and less dense. It then slowly rises up, forming a low pressure zone. This air is then carried by the wind towards both the poles. The wind that carries the air towards the north gets slightly deflected towards the right side because of a force known as the Coriolis force. This force is created due to the rotation of the earth.

What is the capital of prince edward island

Answers

Answer:

The capital of Prince Edward Island is Charlottetown.

Explanation:

hope this helps, and if it did, please mark brainliest :)

The capital of Prince Edward Island is Charlottetown.

The capital of Prince Edward Island, which is located in eastern North America, from Prince Edward Island to Virginia, is Charlottetown. This region spans from approximately latitude 46N to 37N, with the median latitude being around 42N, and the median longitude is near 70W. When learning about the geography of Canada, it's important to recognise Charlottetown as the capital as it plays a pivotal role in the province's governance, culture, and history.

A stone is dropped from rest from the top of a cliff into a pond below. If its initial height is 10 m, what is its speed when it hits the water?

Answers

Answer:

14 m/s

Explanation:

The motion of the stone is a free fall motion, so an accelerated motion with constant acceleration g = 9.8 m/s^2 towards the ground. So, we can use the following SUVAT equation:

[tex]v^2 -u^2 = 2gh[/tex]

where

v is the final speed of the stone as it reaches the water

u = 0 is the initial speed

g = 9.8 m/s^2 is the acceleration

h = 10 m is the distance covered by the stone

Solving for v, we find

[tex]v=\sqrt{u^2+2gh}=\sqrt{0+2(9.8 m/s^2)(10 m)}=14 m/s[/tex]

In which situation is the maximum possible work done?

a. when the angle between the force and displacement is 0
b. when the angle between the force and displacement is 180
c.when the angle between the force and displacement is 45
d. when the angle between the force and displacement is 90

Answers

Answer:

Answer is A.

Explanation:

Remember the equation for work:

W = F d cos θ

Math explanation: When θ = 0, cos θ = 1, so Fd is a maximum. For any other value of θ up to 90 degrees, cos θ < 1 so Fd will be smaller. For θ = 180, you're pushing away from the direction of displacement so you're actually doing negative work.

Intuitive explanation: you have the most success pushing an object when you apply the force directly against it compared to if the force was directed at an angle.

Answer:

when the angle between the force and displacement is 0°

Explanation:

What instrument is used to measure liquid volume?

Answers

Answer:

Graduated Cylinder

Explanation:

looked it up         ⊕↔⊕

Final answer:

Liquid volume can be measured using a graduated cylinder or a burette, and the specific density of liquids can be assessed with a hydrometer. Accurate readings are taken at the bottom of the meniscus.

Explanation:

The instrument used to measure liquid volume is a graduated cylinder, which comes in various sizes and is commonly used in laboratory settings. It allows for precise measurements of volumes by sub-dividing the space between milliliter marks. Another instrument used in chemistry for measuring liquid volume is the burette, especially when conducting titrations. Furthermore, a hydrometer can be employed to measure the specific density of liquids, which indirectly helps infer volume based on known densities.

To obtain accurate volume measurements with a graduated cylinder, one should read the volume at the bottom of the meniscus, which is the lowest point of the curved surface of the liquid. It's also essential to ensure that the graduated cylinder is level and that the observer's eye is at the level of the meniscus while making the reading.

Why did stalin want the united states and britain to launch a second front in the west?

Answers

Answer:

The Soviet Union had become the main focus of Germany's attacks. Britain and the U.S got Italy to surrender and then invade the beaches at Normandy, diverting the Germans attention to the west.

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Which of the following is not a part of DNA extraction? a. Separate DNA from protein and debris b. Isolate concentrated DNA c. Collect cheek cells d. Add enzymes to make the DNA "sticky" e. Burst cells open In the word "COURSE what is the probability of choosing a vowel? Which line is parallel to a line that has a slope of 3 and a y-intercept at (0, 0)?ABCDFGHJ Which equation can be used to calculate the area of the shaded triangle in the figure below? What is the solution for this equation 3(80-9x)=x-96 According to Boyle's law, what would happen to the temperature of a gas if the pressure were halved as the number of moles and the volume were held constant? A.The temperature would double. B.The temperature would be reduced by half. C.The temperature would quadruple. D.The temperature would be one-quarter of its original value. Some protists can reproduce both sexually and asexually. What's a major advantage of each The establishment clause would preventa: a church from being built in a Jewish areab: the mayors office from displaying a crossc: a citizen from placing a religious scene in a businessd: he president from having a Christmas party at home Christopher came down with chicken pox after spending time in his childs day care. The chicken pox represents what link in the chain of transmission in this scenario? How are nuclear reactions different from chemical reactions?Select all that apply. In nuclear reactions, the identities of the elements change. In nuclear reactions, the identities of the elements stay the same. In nuclear reactions, the reactions happen at a set rate. In nuclear reactions, the reactions happen at a varied rate. what is a precursor tell me now What is half of a number z x = Temperature (C) 1100 1200 1300 1100 1500 1200 1300 y = Porosity (%) 30.8 19.2 6 13.5 11.4 7.7 3.6 (a) Fit the simple linear regression model using the method of least squares. Find the least squares estimates of the intercept and slope in the simple linear regression model. The maximum amounts of lead and copper allowed in drinking water are 0.015 mg/kg for lead and 1.3 mg/kg for copper. Tell the maximum amount of copper (in grams) allowed in 100 g of water. ANOTHER WORD FOR VERY HEALTHY TO EAT STARTING WITH N ENDING WITH CIOUS OR TIOUS What is 4 divided by 1/3 write in fractions Jodi invested $497.50 in a regular savings account that paid simple interest at a rate of 3.5% per year. How much was her investment worth in one year? solve for x.3x-12y=27 A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate ineither the Hay Bale Toss or the Pie Eating Contest. If all 20 students joined the same event, how would the shapeof the histogram change compared to the original? If y = e2x is a solution to y''- 5y' + ky = 0, what is the value of k?