Find the solution to the system of equations. You can use the interactive graph below to find the solution. \begin{cases} -3x-9y=18 \\\\ 4x+3y=12 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ −3x−9y=18 4x+3y=12 ​.

The center of gravity for the three-objects system is approximately located

at their center of mass.

Reasons:

The coordinates of the vertices of the objects and their masses are;

The rod:

Vertices, (2, 7), and (9, 7)

Mass, m₁ = 6.00 kg.

The right triangle;

Vertices; (4, 1), (8, 5), (8, 1)

Mass, m₂ = 3.00 kg.

The square

Vertices; (-5, 5), (-2, 5), (-2, 2), (-5, 2)

Mass, m₃ = 5.00 kg

Required;

The center of gravity for the three-object system.

Solution:

The center of gravity is given by the formula;

[tex]\displaystyle X_c =\mathbf{ \frac{X_{c1} \times m_1 +X_{c2} \times m_2 +X_{c3} \times m_3 }{m_1 + m_2 + m_3}}[/tex]

[tex]\displaystyle Y_c =\mathbf{ \frac{Y_{c1} \times m_1 +Y_{c2} \times m_2 +Y_{c3} \times m_3 }{m_1 + m_2 + m_3}}[/tex]

Where;

[tex]X_{c1}[/tex] = The x-coordinates of the center of the rod = 5.5

[tex]X_{c2}[/tex] = The x-coordinate of the centroid of the triangle  [tex]\displaystyle = \frac{4 + 8 + 8}{3} = \frac{20}{3}[/tex]

[tex]X_{c3}[/tex] = The x-coordinate of the centroid of the square = (-5 - (-2)) ÷ 2 - 2 = -3.5

[tex]Y_{c1}[/tex] = The y-coordinate of the center of the rod = 7

[tex]\mathbf{ Y_{c2}}[/tex] = The y-coordinate of the centroid of the triangle  [tex]\displaystyle = \frac{7}{3}[/tex]

[tex]Y_{c3}[/tex] = The y-coordinate of the centroid of the square = 3.5

Therefore;

[tex]\displaystyle X_c = \mathbf{ \frac{5.5 \times 6 +\frac{20}{3} \times 3 +(-3.5) \times 5 }{6+ 3 + 5}} \approx 2.58[/tex]

[tex]\displaystyle Y_c = \mathbf{ \frac{7 \times 6 +\frac{7}{3} \times 3 +3.5 \times 5 }{6+ 3 + 5}} = 4.75[/tex]

The center of gravity for the three-object system is ([tex]X_c[/tex], [tex]Y_c[/tex]) ≈ (2.58, 4.75)

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Answer:

) genetic variation among individuals

Answer:

inches

Explanation:

because centimeters is to small and inches is easier to count

Answer:

Niche refers to the role of the microorganism or a living thing in an ecosystem. When two organisms occupying the same niche, the possible long-term consequence isA. local extinction. This is because the relationship is competition which can outlast the other. Eventually, when the environment is changed, the organisms adapt too which erases the original attributes.

Explanation:

HOPE ITS HELP YOU

Answer:

depending on the number I think I could be wrong not 100%

Answer: The mass of carbon dioxide is 28.6 grams

Explanation:  Step 1: Data given

Mass of O2 = 41.6 grams

Volume of the O2 container = 2V

Volume of the CO2 container = V

Pressure and temperature are the same

Step 2: Ideal gas law

The ideal gas law = p*V=nRT

For O2: p*2V = n(O2)*R*T

For CO2: p*V = n(CO2)*R*T

n(O2)*R*T / P*2V = n(CO2)*R*T / P*V

Since P, R and T are contstant, we can simplify this to:

n(O2)/2 = n(CO2)

Step 3:  Calculate moles of O2

Moles O2 = mass O2/ Molar mass O2

Moles O2 = 41.6 grams / 32 g/mol

Moles O2 = 1.3 mol O2

The number of moles CO2 = 0.65 mol

Mass of CO2 = Moles CO2 * Molar Mass CO2

Mass of CO2 = 0.65 mol * 44.01 g/mol

Mass of CO2 = 28.6 grams

The mass of carbon dioxide is 28.6 grams

mark me as brainliest because it took me hour to solve this pls

It has been scientifically proven that laughter is excellent for emotional and physical well-being. The laugh can relieve physical tension, enhance the functioning of the immune system and decreases stress hormones.

It has been shown that laughter can relax facial muscles, which is fundamental for relieving physical tension.

Moreover, it has also been demonstrated that laughter can increase the heart rate and boost the adaptive immune system by generating antibodies that fight against harmful infectious agents (e.g. bacteria and viruses).

Finally, laughter can also decrease the levels of stress hormones such as cortisol, adrenaline and growth hormones.

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[tex] \large \bold{Answer:-}[/tex]

An Aquifer layer is most likely made up of cracked rocks.

Answer:

D

Explanation:

cracked rocks make up this material.

Answer:

8.31

Explanation:

just did it on edge 2021

Answer:

R= 8.31

Explanation:

Data-inspired decision-making can discover common information when exploring different data sources. It involves the exploration of different sources of data.

Decision-making refers to the process of making choices by recognizing the better decision.

Moreover, data-inspired expresses the best ways to generate ideas while exploring data.

Finally, data-inspired decision-making refers to the exploration of different sources of data to identify and recognize what they have in common.

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15.34 - 13

=2.34

2.34 ÷ 15.34 × 100

=15.25%

Magnesium bromide is the inorganic compound with the formula Mgbr₂, where 2 indicates that there are 2 bromide ions for every magnesium.

Magnesium bromide (MgBr2) is an ionic compound of magnesium and bromine, that is, it is the compound that is formed when an atom with low electronic affinity gives up electrons, becoming an anion, while another atom gains those electrons.

Therefore, we can conclude that magnesium bromide is a compound where for each magnesium ion there are 2 bromide ions.

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The tool to make chart 1 look like chart 2 in Microsoft Office Excel is the Chart Tools Design tab

The Microsoft Office Excel as several kinds of interchangeable charts that can be selected by the user.

Examples of charts

Some charts in Microsoft Office Excel are:

Change charts

To change a chart from one form to another, you simply make use of the Chart Tools Design tab

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Answer:

Maintaining eye contact, Using positive tone voice, and standing with a good posture.

Explanation:

Hope that helps.

Answer:

can you please post the picture for this thank you and

When describing a strange dream that you had, there are several ways to go about it and this is one:

Writing an essay can be academic dishonesty so I will walk you through how to write one yourself.

Introducing yourself does not mean saying your name. You can simply use the pronoun, "I." Talk about what you were doing, for instance, walking home, or watching television.

Then talk about how you fell asleep - could be in your bed, on a seat on the bus, or even on a sitting room couch.

Then begin to talk about how the dream started. Talk about how the dream began and then progressed till you get to the strange events.

Talk about these strange events and end on the strangest; then explain why this scene was strange if it isn't apparent.

It is best to either use little detail or a lot of detail, avoid the middle ground.

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Answer:

The rock cycle describes how rocks change as a result of natural processes. The rock cycle forms new rocks using the crystallization, erosion and compaction processes. This makes the correct answer: D: all of the above. Igneous rocks for example are rocks formed from the crystallization( formation of rock crystals in cooling magma) of a liquid. Sedimentary rocks are formed by erosion. However, in order to form a sedimentary rock, the accumulated sediment must become compacted and cemented together.

Answer:

the oxidation number is +2

The statement that describes the 3d, 4s, and 4p orbitals of arsenic (as) based on its electronic configuration and position in the periodic table is; The 3d and 4s orbitals are completely filled, and the 4p orbital is partially filled.

The electronic configuration of arsenic is given as; 1s² 2s² 2p^(6) 3s² 3p^(6) 4s² 3d^(10) 4p³.

Now we can see that in that electronic configuration the orbitals are, s, p and D.

Now, the maximum electrons for each of the 3 orbitals are;

Maximum electrons for d orbital = 10 electrons

Maximum electrons for s orbital = 2 electrons

Maximum electrons for p orbital = 6 electrons.

Now, when we compare the maximum number of electrons for each orbital to the ones in electron configuration of arsenic, it is clear from the last 3 orbitals that the 3d and 4s orbitals are completely filled while the 4p orbital is half filled or partially filled.

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There are different reasons why players collapse in the court. It is therefore good that one knowns the right step to take.  The scene is safe and the correct order of skills for lay rescuer adult CPR is Call 911, check for a pulse, start CPR.

Note that in the court, a player may collapse and it is very important to do the right thing. You can only perform the CPR , when you known how to do it. If you don't have the basic training on how to do it, do not attempt to do it. watching of videos on how to do it may help.

When doing CPR, always make sure you have to keep your elbows locked, and make sure to know who needs to do that role in this process. Be quick with it and do not be afraid of breaking bones.

See full question below

A 17-year-old basketball player has collapsed on the court. The scene is safe. What is the correct order of skills for lay rescuer adult CPR?

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Answer:

165 - 180°F

Explanation:

For macaroni and cheese, a minimum hot holding temperature of 165° to 180° Fahrenheit (F) for 15 seconds is required.

"Macaroni and Cheese and Premium Macaroni and Cheese" are already cooked and only need to be warmed to 165°F before serving and kept warm.

This can be done by:

1. Boiling them in a bag

2. Heating them on the stove

3. Heating them in the microwave

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#SPJ2

Answer:

Energy can change form, but the total amount of energy stays the same.

The probability that maya's first guess is correct and her second guess is incorrect is 0.24

From the question given above, the following data were obtained:

Next, we shall determine the probability that her 1st guess is correct.

P(C) = nC / nS

P(C) = 222 / 555

Next, we shall determine the probability that her 2nd guess is incorrect

P(I) = nI / nS

P(I) = 333 / 554

Finally, we shall determine the probability that her first guess is correct and her second guess is incorrect.

P(C n I) = P(C) × P(I)

P(C n I) = (222 / 555) × (333 / 554)

P(C n I) = 0.24

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Answer: 3/10 or 0.3

Explanation: P(1st correct AND 2nd incorrect)= 2/5 • 3/4= 3/10 or 0.3

Answer: can't see the boxes?

Explanation:

Answer:

A and C

Explanation:

Trust

Answer:

Where is the two column proof?!

Among the listed items, the one that may be allowed in a food preparation area is;

Food preparation can be regarded as the process of preparing food which may involve cooking and other activities.

However,, the place of cooking should be hygienic and contaminating items should be do away with.

Therefore, Among the listed items, the one that may be allowed in a food preparation area  is;

CHECK THE COMPLETE QUESTION BELOW;

the one that may be allowed in a food preparation area: Smoking, Chewing Gum, Pets, Wearing a Wedding Band

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Answer:

(x^2 * sq rt x)/3

Explanation:

first, simplify the 2x^5/18

you get x^5/9

square rooting 9 gives you 3

square rooting x^5 gives you x^2 * sqrt x

just put 3 in the denominator and x^2 * sq rt x in the numerator

ANSWER: (x^2 * sq rt x)/3