What two types of scientific knowledge can be expressed as mathematical equations? (Please don't tell me the answer could you please just follow me there. Thank you!)

From the given values we can generate the equations:

x = vx*t 
y = 0.95 - 1/2*g*t^2 

where x refers to displacement in horizontal direction, y refers to displacement in vertical direction, and t is time, while vx is velocity of the cart in the x direction, and g is the acceleration due to gravity = 9.8 m/s^2

At it's landing point we have x = 0.4, y = 0: 

0.4 = vx*t 
0 = 0.95 - 1/2*9.8*t^2 

Therefore combining the equations and solving:
t = 0.44 s s 
vx = 0.91 m/s

The statement is true

Factual data is the one that is based on facts and figures. It is not based on just observations; theories or personal interpretations. Factual Data also provides accurate risk evaluation with greater efficiency and it can be used in any situation or data collection method. It is a trusted and reliable source that can be used as evidence.

The correct option is All of these

In order to sell a new product to a store owner, taking the store owner into trust is the most important stage. We must provide proper details and the proofs that our product will make his business more effective. All of the above statements are part of the deal and they can be used to assure the store owner that the product we are selling to him is trustworthy.  

The statement is True

A presentation can be defined as a speech or talk in which a new product, idea, or piece of work is shown and explained to an audience. So audience is important factor for presentation. Without an audience or people, the presentation is just like talking to oneself. Moreover, the objective of presentation is to motivate or persuade others therefore having audience Is necessary.

The given statement is False

Humor is a powerful communication tool. It can gain attention, create harmony, and make a presentation more memorable. It can also relieve tension, motivate an audience, and enhance the reputation of presenter if it’s used appropriately. Emotions are very important for an event so humor being a part of emotions can make a presentation more memorable and effective.  

The words that do not describe factual data are observation and opinion.

As we know that factual data is based on facts and figures. It is not based on just observations, therefore observation and opinion based data cannot be considered as factual data. As the name suggests, factual data needs facts and facts are always calculated and measured. They cannot be created merely on the basis of observation or opinion. Experiment is necessary for factual data therefore opinion and observation are not a part of actual data.

The statement is True

A presentation is given to convince people and persuade them for a certain cause. Therefore, authentic information and facts and figures should be provided to audience. Time killing and just talking to pass the time is not the proper way for presentation. If we just quit on time instead of giving authentic facts, then the audience get irritate and no more interested in the presentation.  

The correct option is a chart showing the rising price of gas

Conventional vehicles use gasoline or diesel to power an internal combustion engine but A hybrid car is the one that can use both a conventional engine and electric motor. The best hybrid cars achieve better fuel efficiency than their non-hybrid counterparts. The chart that shows the rising price of gas will be effective because it can make the customers realize that a hybrid car may save their money by using electric motor inside the car instead of using gas.

The correct answer should be Typical of opinions across the country, users on blahblah-blog.com have mentioned that gas prices have gone up 10% in the last six months.

Any data in a presentation should be based on research and facts plus authentic figures and calculation that can be based on authentic source. So it means that a source is required to assure the audience about the reliability of data. If the presentation says that people across the country have xyz opinion but the source of that information is not given, then the information may be thought as false or incorrect therefore the blog website must be provided to make the arguments stronger.

The correct option is any photo you take with a digital camera

The question says that the boss is asking to present own screen so to represent own screen one must show own photos taken by personal camera. These photos must be the same that are taken by personal digital camera. Photos taken from internet or any other source cannot be taken into consideration for own presentation. Personal digital camera photos make more impression on audience because they represent reality.

The given statement is True

The mental level and cognitive approach of kindergarten kids is very different from mature and aged people. Children in younger age cannot understand abstract images or presentation because their social life exposure and mental level is not well adequate. Therefore there must be a difference between the presentation presented to kindergarten kids and corporate executives.

The elements in groups 1, 2, and 3 on the Periodic Table are mainly metals, with group 1 elements known as Alkali Metals, group 2 elements known as Alkaline Earth Metals, and group 3 elements are a part of the Transition Metals.

The groups of 1, 2, and 3 on the Periodic Table refer to the vertical columns and represent different elements with similar properties due to their electron arrangement. Group 1 elements, excluding Hydrogen, are known as Alkali Metals, which are very reactive metals. Group 2 elements are known as Alkaline Earth Metals, also metals but less reactive than Alkali metals. Group 3 elements form a part of the transition metals, who possess properties of both metals and nonmetals. Thus, your correct answer would be A. Metals.

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In which organelle does photosynthesis take place

chloroplast

The total force the other 6 players can exert in a tug-of-war game is calculated by subtracting the forces exerted by the largest and smallest players from the total force. The total force available from the other 6 players is 170 N.

To find the total force the other 6 players in a game of tug-of-war can exert, we need to know the total force of all 10 players and subtract the force exerted by the largest and smallest players. We're given that 10 players can exert a total force of 1000 N. The first two largest players exert a force of 400 N each, totaling 800 N for both. The last two smallest players exert a combined force of 30 N. To find the force exerted by the other 6 players, we subtract the sum of the forces exerted by the largest and smallest players from the total force.

Therefore, the calculation would be: 1000 N - (2 * 400 N + 30 N) = 1000 N - 830 N = 170 N.

To conclude, the other 6 players can exert a force of 170 N in total.

The theory of evolution is a well-supported and foundational scientific explanation for the diversity of life, subject to rigorous testing and not just an unsupported guess. The scientific usage of the term 'theory' differs greatly from the common everyday usage, lending significant credibility to evolutionary theory.

The theory of evolution is a foundational scientific explanation that describes the mechanisms by which species change over time. In science, the term theory refers to a body of thoroughly tested and verified explanations, not just a simple guess as often misconstrued in everyday language. Evolutionary theory is as factual and substantiated as other scientific theories like the atomic theory of matter or the germ theory of disease. As with all scientific theories, it is subject to continued testing and revision, but this is a rigorous process that only strengthens the body of evidence supporting the theory. Therefore, the assertion that evolution is just a 'theory' in the sense of being an unsupported guess is a significant misinterpretation of the scientific meaning of a theory.

The theory of evolution has undergone extensive scrutiny and has been supported by a multitude of observations and experimental evidence, which makes it a reliable account of the natural world and not merely a 'just a theory.' The misconception that evolution is widely debated or controversial among scientists is incorrect, as the majority of the scientific community accepts evolution as the unifying theory of biology. Evolution provides the explanatory framework within which biologists approach all questions about the living world, and its understanding continues to evolve and refine as new evidence emerges.

Answer:

Explained

Explanation:

When a solid matter changes into a liquid state, the inter molecular forces between the molecules reduces and molecules are more free to move around. hence, we can say that the molecules have freedom when a solid state of an element changes into liquid state. The molecules are less tightely packed in liquid then in solids.

The launch speed needed to hit the bulls-eye is determined as 2.6 m/s.

How to calculate the launch speed?

The launch speed needed to hit the bulls-eye is calculated by applying the following kinematic equation as shown below.

the time of motion of the pumpkin is calculated as follows;

t = √ (2h / g)

where;

t = √ ( 2 x 7.4 / 9.8)

t = 1.23 s

The launch speed needed to hit the bulls-eye is calculated as;

v = d/t

where;

v = 3.2 m / 1.23 s

v = 2.6 m/s

The answer is:

Science is a process of gaining new knowledge.

Answer:

It uses data and observations to make conclusions.

Explanation:

Combustion reactions, so as a lighted candle, is an illustration of the chemical change by the mixture of wax and oxygen in a reaction that generates heat, brightness, and carbon dioxide. Decomposition, the reverse of combination, transpires when a particular item splits down into two or more separate items.

In this case, the ice is breaking down into water by the heat generated by the skin.

Final answer:

The runner covers a total distance of 1.445 meters during the acceleration phase and maintains a constant speed afterward.

Explanation:

To find the distance covered by the runner during the acceleration phase, we can use the equation: d = (1/2) * a * t^2. Substituting the values, we have: d = (0.5) * 1.7 * 1.7 = 1.445 m. Therefore, the runner covers 1.445 meters during the acceleration. To find the total distance covered, we add the distance covered during acceleration to the distance covered at constant speed. Given that distance = speed * time, the total distance covered will be 1.445 m + 7.5 m/s * (1.7 s - 1.7 s) = 1.445 m. Hence, the total distance covered by the runner during this time is 1.445 meters.

Answer: Option (B) is the correct answer.

Explanation:

According to the ideal gas equation, pressure times volume equals n times R times temperature.

Mathematically,        PV = nRT

where       P = pressure

                 V = volume

                n = number of moles

                R = gas constant

                T = temperature

Therefore, we can see that pressure is directly proportional to temperature and inversely proportional to volume.

Thus, we can conclude that by raising the temperature and reducing the volume of the gas, the pressure of a gas DEFINITELY increase.

The physical change since the things are only undergoing a change in their outward appearance operation (A) phase change is correct.

The idea of matter's condition is surprisingly straightforward. It turns out that any substance, regardless of its composition, may exist as a solid, a liquid, or a gas. These are groups of objects with certain observable characteristics.

Particles in gases travel swiftly because they have high energy. Compared to the molecules of solids and liquids, the energy of gas molecules is the largest.

The physical change since the things are only undergoing a change in their outward appearance and not their composition.

Thus, the physical change since the things are only undergoing a change in their outward appearance operation (A) phase change is correct.

The question is incomplete.

The complete question is:

Glass shattering into pieces bubblegum being stretched a piece of metal expanding due to heat

These are all examples of

A) phase change.

B) chemical change.

C) physical change.

D) temperature change.

Learn more about the state of the matter here:

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Rigel and Sirius stars share similarities in their luminosity and high energy emission compared to the Sun, with both stars being more massive and hotter. They are significant in the night sky; Sirius as the brightest star, and Rigel as the brightest in the Orion constellation.

The similarities between Rigel and Sirius stars are notable in terms of their roles as bright stars in the night sky, but they also share characteristics in the way they emit light and energy. Both Rigel and Sirius are significantly more luminous than our Sun. Sirius, well-known as the brightest star in our night sky, emits 23 times more energy than the Sun. Rigel, on the other hand, is the brightest star in the Orion constellation. Both are high-mass stars, with Sirius being more massive in its binary system compared to its companion, Sirius B.

When viewing Rigel through a telescope, we are seeing light that left the star around 800 light years ago, so in a sense, we are looking back in time. By studying starlight with a spectrometer, astronomers can determine various properties of stars, such as their composition, temperature, and velocity. For these two stars, the study of their light reveals that Sirius has an extremely high temperature, similar to Rigel, which emits in the blue spectrum, indicating a high surface temperature as well.

Though they differ in color, with Rigel being blue and Sirius slightly whiter due to temperature variances, both showcase the diverse and dynamic characteristics of stars in our universe.

Answer:

Mass of the astronaut is 86.45 kg

Explanation:

It is given that,

Weight on the surface of astronaut, [tex]F_g=140\ N[/tex]

The radius of the moon is, [tex]R_m=1.74\times 10^6\ m[/tex]

The gravitational constant is,  [tex]G=6.67\times 10^{-11}\ Nm^2/kg^2[/tex]  

Mass of the moon,  [tex]m_1=7.35\times 10^{22}\ kg[/tex]

We need to find the mass of the astronaut. It can be calculated using the formula as :

[tex]F=G\dfrac{m_1m_2}{R^2}[/tex]

m₂ = mass of the astronaut

[tex]m_2=\dfrac{FR^2}{Gm_1}[/tex]

[tex]m_2=\dfrac{140\ N\times (1.74\times 10^6\ m)^2}{6.67\times 10^{-11}\ Nm^2/kg^2\times 7.35\times 10^{22}\ kg}[/tex]

m₂ = 86.45 kg

So, the mass of the astronaut is 86.45 kg. Hence, this is the required solution.

The astronaut's mass is determined to be approximately 86.42 kg.

Let's begin by using Newton's law of universal gravitation, which states that the force of gravity between two masses is given by:

F = G * (m1 * m2) / r²

Where:

Given data:

Firstly, we calculate the acceleration due to gravity on the Moon (gm) using the formula:

gm = G * Mm / Rm²

Substituting the given values:

gm = (6.67 x 10⁻¹¹ N·m²/kg²) * (7.35 x 10²² kg) / (1.74 x 10⁶ m)²

gm ≈ 1.62 m/s²

Now, we know that weight (Fg) is given by Fg = ma * gm, where ma is the mass of the astronaut. Rearranging the equation to solve for ma:

ma = Fg / gm

Substituting known values:

ma = 140 N / 1.62 m/s²

ma ≈ 86.42 kg

Therefore, the mass of the astronaut on the Moon is approximately 86.42 kg.

Answer:

I hope this helps

Explanation:

Answer:

Streak is the correct answer.

Explanation:

In mineralogy, streak refers to color of the powder that results from dragging a mineral across a harder surface. The line usually has a more consistent color than the one from the mineral itself; this characteristic is very important to identify the mineral.