Can you help me with this

Can You Help Me With This

Answers

Answer 1

Answer:

on solving LHS and RHS

we got

z = v- (9+x+y)


Related Questions

Help me out with this question!! 50 points​

Help me out with this question!! 50 points

Answers

C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

Exercise 3. 3. 1. Write the system ,x1′=2x1−3tx2 sint, x2′=etx1 3x2 cost in the form.

x=p(t)x+f(t)

Answers

The system of equation for the given system  in the form x = p(t)x + f(t) is equal to x = [-1 -3t] x + [sint]

                    [0 + 3]x +  [cost]  

System of equation is,

,x₁′=2x₁−3tx₂ + sint,

x₂′=(\(e^{t}\))x₁ 3x₂ + cost

System in the form x = p(t)x + f(t), first express it in matrix form,

x' = A(t)x + g(t)

where x = [x₁, x₂]ᵀ,

A(t) is a 2x2 matrix,

and g(t) is a column vector with entries sint and cost.

Using the given system, we have,

x₁′ = 2x₁ - 3tx₂ + sint

x₂′ = eᵗx₁ + 3x₂ + cost

Rewriting this in matrix form, we get,

\([x_{1}]^{'} = [2 -3t] \left[\begin{array}{ccc}x_{1}^{} \\x_{2}^{} \end{array}\right]\) +  [sint]

\(\left[\begin{array}{ccc}x_{2}^{'} \end{array}\right]\)  \(= \left[\begin{array}{ccc}e^{t} &3\end{array}\right]\)\(\left[\begin{array}{ccc}x_{1}^{} \\x_{2}^{} \end{array}\right]\)+ [cost]

Now, to write this in the form x = p(t)x + f(t),

we need to find a function P(t) such that A(t) = P(t) - P'(t),

where P'(t) is the derivative of P(t).

For A(t), we have,

A(t) = [2 -3t]

        [eᵗ 3 ]

To find P(t), integrate the diagonal entries of A(t),

P(t) = [2 3t]

        [eᵗ 3]

Then,  compute P'(t) and subtract it from P(t) to get A(t),

P'(t) = [0 3]

        [eᵗ 0]

A(t) = P(t) - P'(t)

     = [2-3t -0 -3]

[eᵗ - eᵗ + 3 - 0]

Therefore, the system of equation x' = A(t)x + g(t) can be written as,

x = [-1 -3t] x + [sint]

     [0 + 3]x +  [cost]  which is in the form x = p(t)x + f(t).

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The above question is incomplete, the complete question is:

Write the system ,x₁′=2x₁−3tx₂ + sint, x₂′=(e^t)x₁ 3x₂ + cost in the form.

x=p(t)x + f(t)

Please answer for number 20

Please answer for number 20

Answers

Answer:

1/24

Step-by-step explanation:

20) 1/6 / 4 = 1/6 * 1/4 = 1/24

Answer:

\(\:\frac{1}{5}\div 2=\frac{1}{5}\cdot \:\frac{1}{2}=\frac{1}{10}\)

\(\:\frac{1}{6}\div \:4=\frac{1}{6}\cdot \frac{1}{4}=\frac{1}{24}\)

Step-by-step explanation:

Question 18

We know that the fraction rule is:

\(\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\)

Thus,

\(\:\frac{1}{5}\div 2=\frac{1}{5}\cdot \:\frac{1}{2}=\frac{1}{10}\)

Question 20

We know that the fraction rule is:

\(\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\)

Thus,

\(\:\frac{1}{6}\div \:4=\frac{1}{6}\cdot \frac{1}{4}=\frac{1}{24}\)

Jeff wants to purchase a wallet for $33. He currently has $18. By how much money will he be in debt if he decides to borrow the difference? (Write an equation to represent this problem)Required to answer. Single line text.

Answers

he will be in debt 15$. 18 - 33 = -15

Answer:

18 - 33= -15

Step-by-step explanation:

18 is from how much he currently has

subtract 33 is how much he has to pay

-15 is how much money he is going to be in debt

Mark recorded the growth of a plant over 8 weeks. The equation y=0. 2x+2 represents the height y, in inches, after x weeks. How tall will the plant be after week 9?.

Answers

Answer:

3.8 inches

Step-by-step explanation:

y = 0.2x + 2  Substitute in 9 for x

y = 0.2(9) + 2

y = 1.8 + 2

y = 3.8

nearest ten thousand to 92,987

Answers

Answer:

90,000

Step-by-step explanation:

2,987<5,000, so round down.

Which equation represents a proportional relationship?

y = 5x + 2
y = 100 x
y = 16x2
y = 6x

Answers

Answer:

5x+2

Step-by-step explanation:

I think it is 5x+2

PLEASE ANSWER brainlest!
Evaluate the expression.14−{6+2[−1(8−12)]2^}

What is the value of the expression?

please explain step by step brainlest

Answers

-24 - I didn’t explain it in words, but the step by step is in the image!
PLEASE ANSWER brainlest!Evaluate the expression.14{6+2[1(812)]2^}What is the value of the expression?please

Really appreciated :)))) (25 points) Reupload

Really appreciated :)))) (25 points) Reupload

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B is more likely because if you look at the ratio grey to white you get 5:3 you will have better odds using fair spinner B

Please help me I beg you I will give you credit plz

Please help me I beg you I will give you credit plz

Answers

Find slope (y2-y1)/(x2-x1)
Pick any two points on line
(1,15) and (2,25)
(25-15)/(2-1) = 10/1, slope is 10 (rate of change)
Y = 10x + b
15 = 10 + b
The y intercept would be 5

Find the missing angle
PLEASE HELP AND SHOW WORK!

Find the missing anglePLEASE HELP AND SHOW WORK!

Answers

Answer:60

Step-by-step explanation:

180-75-60=45

90-45=45

180-45-75=?

2 QUESTIONS !! GEOMERTY !! NEED HELP ASAP!!!

2 QUESTIONS !! GEOMERTY !! NEED HELP ASAP!!!

Answers

1 is b 2 i was..wondering How
1) is 54

2) 89




Hope this helps

The triangle below is isosceles. Find the length of side
x to the nearest tenth.

The triangle below is isosceles. Find the length of side x to the nearest tenth.

Answers

Answer:

x=2.3

Step-by-step explanation:

Isosceles triangle means both sides are the same length, triangle is also right meaning you can plug values into Pythagorean theorem (\(a^2+b^2=c^2\))

\(x^2+x^2=\sqrt{11}^2 \\2x^2=11\\x=\sqrt{\frac{11}{2} } \\x=2.345...\\x=2.3\)

Assuming all my math is right, this is your answer

proper
LOGICAL REASONING In the diagram of the collinear points, PT = 20,
QS = 6, and PQ = QR = RS. Find each length.
23. QR
24. RS
25. PQ
26. ST
27. RP
28. RT
29. SP
30. QT
S
Your answer

Answers

Answer:

  QR(3), RS(3), PQ(3), ST(11), RP(6), RT(14), SP(9), QT(17)

Step-by-step explanation:

The diagram is not shown, but we assume the points are in the sequence ...

  P, Q, R, S, T

Since QR = RS, R is apparently the midpoint of QS, So ...

23. QR = 6/2 = 3

24. RS = QR = 3

25. PQ = QR = 3

26. ST = PT -PQ -QS = 20 -3 -6 = 11

27. RP = PQ +QR = 3 +3 = 6

28. RT = RS +ST = 3 +11 = 14

29. SP = PQ +QS = 3 +6 = 9

30. QT = QS +ST = 6 +11 = 17

Vibrations of harmonic motion can be represented in a vectorial form. Analyze the values of displacement, velocity, and acceleration if the amplitude, A=2+T, angular velocity, ω=4+U rad/s and time, t=1 s. The values of T and U depend on the respective 5th and 6th digits of your matric number. For example, if your matric number is AD201414, it gives the value of T=1 and U=4.

Answers

The values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

We know that the amplitude, A = 2 + T; the angular velocity, ω = 4 + U rad/s; and time, t = 1s. Here, the value of T = 1 and the value of U = 4 (as mentioned in the question).

Harmonic motion is a motion that repeats itself after a certain period of time.

Harmonic motion is caused by the restoring force that is proportional to the displacement from equilibrium.

The three types of harmonic motions are as follows: Free harmonic motion: When an object is set to oscillate, and there is no external force acting on it, the motion is known as free harmonic motion.

Damped harmonic motion: When an external force is acting on a system, and that force opposes the system's motion, it is called damped harmonic motion.

Forced harmonic motion: When an external periodic force is applied to a system, it is known as forced harmonic motion.Vectorial formVibrations of harmonic motion can be represented in a vectorial form.

A simple harmonic motion is a projection of uniform circular motion in a straight line.

The displacement, velocity, and acceleration of a particle in simple harmonic motion are all vector quantities, and their magnitudes and directions can be determined using a coordinate system.

Let's now calculate the values of displacement, velocity, and acceleration.

Displacement, s = A sin (ωt)

Here, A = 2 + 1 = 3 (since T = 1)and, ω = 4 + 4 = 8 (since U = 4)

So, s = 3 sin (8 x 1) = 2.68 m (approx)

Velocity, v = Aω cos(ωt)

Here, v = 3 x 8 cos (8 x 1) = 2.24 m/s (approx)

Acceleration, a = -Aω2 sin(ωt)

Here, a = -3 x 82 sin(8 x 1) = -18.07 m/s2 (approx)

Thus, the values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

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HELP PLEASE
On this document you will notice there are no sides lengths provided. However, the rooftop length AD is 300 ft, CD is 330 ft, AB is 210 ft; Based on the math you learned at the beginning of this unit you should be able to complete the table located on the “Rooftop Artist” document to prove you understand distance and midpoint given two points.

HELP PLEASEOn this document you will notice there are no sides lengths provided. However, the rooftop

Answers

Answer:

Step-by-step explanation:

To find the distance between two points, you can use the distance formula:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

where (x1, y1) and (x2, y2) are the coordinates of the two points.

To find the midpoint between two points, you can use the midpoint formula:

[(x1 + x2)/2, (y1 + y2)/2]

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the given lengths, you should be able to find the coordinates of each point and then use the formulas above to fill out the table in the "Rooftop Artist" document.

What is the mean of the following distribution of scores: 2, 3, 7, 6, 1, 4, 9, 5, 8, 2?
-5
-4
-3.7
-4.7

Answers

Answer:

The mean of the following scores is the sum of the numbers divided by the amount of terms,

The set is equal to 47, divided by the amount of numbers (10) = 4.7

Answer = 4.7

como se puede usar la multiplicacion por 1 para encontrar fracciones equivalentes

Answers

Answer:

pamachino ala iscola iyo kapito binisimo bambena ilina

In a class test, +4 marks were awarded for the correct answers and -1 mark for the wrong answers. Student scores 40 marks. If his correct answers were 11, find his wrong answers. *

Answers

4 Wrong Answers

\(Correct = 11*4=44\)

\(Incorrect = Correct - 40 = 4\)

Isabel is buying framing to go around the perimeter of one of her paintings. Each inch of framing costs $0. 40. What is the total cost of the framing for the pantings

Answers

The total cost of the framing for the painting would be $13.20.

The length of the painting is 10.25 inches and the width is 6.25 inches. To find the total length of the framing needed to go around the perimeter of the painting, we need to add the length and width of the painting and then multiply by 2. This is because the framing is needed for both the length and the width of the painting.

10.25 inches + 6.25 inches = 16.50 inches of framing needed

Since we need to go around the perimeter of the painting we need to multiply the 16.50 inches of framing by 2 = 33 inches of framing.

Finally, we multiply the total inches of framing needed (33 inches) by the cost per inch of framing ($0.40/inch) to get the total cost:

33 inches x $0.40/inch = $13.20

So the total cost of the framing for the painting would be $13.20.

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Isabel is buying framing to go around the perimeter of one of her paintings. Each inch of framing costs

Help Me On These 3 Please

Help Me On These 3 Please
Help Me On These 3 Please
Help Me On These 3 Please

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

Using the sine ratio in the right triangle

sin x = \(\frac{opposite}{hypotenuse}\) = \(\frac{4}{6}\) , then

x = \(sin^{-1}\) (\(\frac{4}{6}\) ) ≈ 41.8° ( to the nearest tenth )

(2)

Using the tangent ratio in the right triangle

tan x = \(\frac{opposite}{adjacent}\) = \(\frac{29}{14}\) , then

x = \(tan^{-1}\) (\(\frac{29}{14}\) ) ≈ 64.2° ( to the nearest tenth )

(3)

Using the cosine ratio in the right triangle

cos x = \(\frac{adjacent}{hypotenuse}\) = \(\frac{25}{40}\) , then

x = \(cos^{-1}\) (\(\frac{25}{40}\) ) ≈ 51.3° ( to the nearest tenth )

the coc admissions department wants to see how many students would be in favor of using a new program to register for classes. they put a link on their website so that any students that want to try out the program can. the students can then take a survey and say how well they like the new system. this is what method of collecting data was used: group of answer choices convenience census cluster systematic voluntary response simple random sample (srs) stratified

Answers

The method of collecting data that was used in the given scenario is voluntary response.

A voluntary response method of data collection is a research technique that allows participants to decide whether or not they want to be included in the sample.

When participants are allowed to choose whether or not to participate, this is known as self-selection.

This method has a disadvantage in that it could lead to bias in the data because those who respond to the survey may not represent the entire population of interest.

In the given scenario, the COC admissions department put a link on their website so that any students that want to try out the program can. The students can then take a survey and say how well they like the new system. This means that the method of collecting data that was used is voluntary response.

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The box that kite came in is a rectangular prism with dimensions of 20 1/2 inches by 9 1/2 inches by 2 inches

Answers

The volume of a rectangular prism can be found by multiplying its length, width, and height. In this case, the box that the kite came in has dimensions of 20 1/2 inches by 9 1/2 inches by 2 inches.

To find the volume of the box, we can convert the dimensions to decimals and multiply them:

Volume = length x width x height
Volume = 20.5 inches x 9.5 inches x 2 inches
Volume = 388.75 cubic inches

Therefore, the volume of the box that the kite came in is 388.75 cubic inches.

Pls help i will give brainly

Pls help i will give brainly

Answers

Answer:

B. y = -1/4x + 2

Step-by-step explanation:

The slopes of two perpendicular lines are negative reciprocals of each other. So slope is -1/4

Using m = -1/4, y =4, x = -8

y = mx + b

4 = -1/4(-8) + b

4 = 2 + b

b = 2

so y = -1/4x + 2

Information technology supports supply chain integration through information sharing and collaborative planning. workflow coordination. adoption of new methods and technologies. all of these answer choices are correct.

Answers

By leveraging information technology effectively, supply chain integration can be achieved, leading to improved collaboration, streamlined processes, reduced costs, and enhanced overall supply chain performance.

What is chain integration?

A comprehensive corporate approach known as supply chain integration aims to improve communication and cooperation between all chain nodes.

All of the answer choices provided are correct. Information technology plays a crucial role in supporting supply chain integration by facilitating information sharing, collaborative planning, workflow coordination, and the adoption of new methods and technologies.

1. Information sharing: Information technology enables the exchange of data and information among different entities within the supply chain, such as suppliers, manufacturers, distributors, and retailers. This sharing of information helps improve visibility, transparency, and coordination among the various stakeholders.

2. Collaborative planning: Information technology tools and systems enable collaborative planning processes, where different participants in the supply chain can collaborate on forecasting, demand planning, inventory management, and production scheduling. This collaboration enhances efficiency, reduces costs, and improves overall supply chain performance.

3. Workflow coordination: Information technology facilitates the coordination of workflows and processes across different stages of the supply chain. It enables real-time tracking and monitoring of goods, enables efficient communication and coordination between different parties involved, and helps streamline and automate various supply chain activities.

4. Adoption of new methods and technologies: Information technology enables the adoption and implementation of new methods, strategies, and technologies within the supply chain. This includes the use of advanced analytics, cloud computing, Internet of Things (IoT), artificial intelligence (AI), and other digital solutions that enhance efficiency, visibility, and decision-making capabilities within the supply chain.

By leveraging information technology effectively, supply chain integration can be achieved, leading to improved collaboration, streamlined processes, reduced costs, and enhanced overall supply chain performance.

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How much is the distance of the point 5/12 from y-axis?

Answers

The distance of a point (x,y) from y-axis is the absolute value of the x-coordinate of the point. The distance of the point 5/12 from y-axis is 5/12.

To calculate the distance of the point 5/12 from y-axis, we can use the distance formula:

Distance = √(x2 – x1)2 + (y2 – y1)2

In the given problem, we assume the origin (0,0) as the point on the y-axis and the point (5/12, 0) as the given point. We need to calculate the distance between the two points.

Distance = √(x2 – x1)2 + (y2 – y1)2

Distance = √(5/12 – 0)2 + (0 – 0)2

Distance = √(5/12)2

Distance = 5/12

Therefore, the distance of the point 5/12 from y-axis is 5/12.

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A clay specimen, 25 mm thick, has been tested in an oedometer apparatus with two way rainage, and it is observed that 50% of the consolidation settlement occurs in 1 hour. A ayer of the same clay is observed to settle 10 mm in 10 years and after many years to settle (total primary consolidation) by 35 mm. Determine the thickness of the clay layer if it drains only from upper surface

Answers

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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x=-2, y=3,1 = 2, then​

Answers

Answer:

anyone answer yet

Step-by-step explanation:

I am wondering also

A researcher wants to compare the performance of three types of pain relievers in volunteers suffering from arthritis. Because people of different ages may suffer arthritis of varying degrees of​ severity, the subjects are split into two​ groups: under 60 and over 60. Subjects in each group are randomly assigned to take one of the medications. Twenty minutes later they rate their levels of pain. Which of the following is true about this​ study?
a.
.
It has two​ factors, medication and age.
B.
It has one factor​ (age) blocked by type of medication.
C.
It uses matched pairs.
D.
It is completely randomized.
E.
It has one factor​ (medication) blocked by age.

Answers

The following is true about the study: e. It has one factor (medication) blocked by age.

In statistics, when a factor (independent variable) is blocked by another factor, it means that the effect of the first factor is controlled or eliminated by the second factor.

In this case, the factor that is blocked is the medication, which means that the effect of medication on the outcome variable is controlled by age.

Blocking a factor is often done in experimental design to remove the effects of extraneous variables or to control the influence of certain factors on the outcome variable.

In this case, age is considered a blocking variable because it is not of interest in the study, but it may have an effect on the outcome variable. By blocking the effect of medication by age, the study can better isolate the effect of medication on the outcome variable.

In summary, the statement e. "It has one factor (medication) blocked by age" is correct which means that the study controlled for the effect of age on the outcome variable by blocking the effect of medication by age.

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Which equation would you use to find y?

Which equation would you use to find y?

Answers

The answer is C because whenever we add two adjacent sides in vertical angles they always equal 180
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Design a synchronous, recycling, MOD-4 up counter that produces the sequence 000, 010, 100, 110, and repeats. Use J-K flip-flops. (a) Force the unused states to 000 on the next clock pulse. (b) Use don't-care NEXT states for the unused states. Is this design self-correcting? 1. In 1984 by George Orwell, the author shows the audience that individuals' weakness is the cause of all human downfall. please write 2 pages essay can someone tell me a dream they had and analyze it. ill give brainliest if you write a short paragraph on it and explain how it went from start to end! no plagiarism! The management of Kunkel Company is considering the purchase of a $41,000 machine that would reduce operating costs by $9,000 per year. At the end of the machines five-year useful life, it will have zero scrap value. The companys required rate of return is 12%.Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using table.Required:1. Determine the net present value of the investment in the machine. (Any cash outflows should be indicated by a minus sign. Use the appropriate table to determine the discount factor(s).)Now 1 2 3 4 5Purchase of machine Reduced operating costs Total cash flows $0 $0 $0 $0 $0 $0Discount factor (12%) Present value 0 0 0 0 0 0Net present value $0 2. What is the difference between the total, undiscounted cash inflows and cash outflows over the entire life of the machine? (Any cash outflows should be indicated by a minus sign.)Item Cash Flow Years Total Cash FlowsAnnual cost savings $0Initial investment 0Net cash flow $0 Find the slope of the line that passes through the two given points. (5,4) and (1,6) Find the midpoint of the given line segment with the given endpoints(-3, 8) and (2, -4) cutting back and forth between two (or more) events to give the impression they are occurring at the same time is known as: What do the details of this poem reveal about the poets point of view towards being a grown man in the poem if How many atp molecules are consumed in the hexose stage of glycolysis for every one molecule of glucose? Mr. Smith wants to buy a new car that will cost $35,000. He will make a down payment in the amount of $15,000. He would like to borrow the remainder from a bank at an interest rate of 12% compounded monthly. He agrees to pay off the loan monthly for a period of five years. What is the correct expression to calculate the monthly payments? O) a.20 000(A/P 12% 5)/12 Ob. 20,000(A/F.1%.60) Oc. 4,000(A/F 12% 5)/12 Od. 20.000(A/P 1%,60) Alexis can buy an 12-pound- bag of dog food for $10.80 or an 8-pound bag of the same dog food for $10.20. Which is the better buy? If the rational function y = r(x) has the vertical asymptote x = 2, then as x 2+, either y *insert number here* or y *insert number here*What does this mean? How do I solve it Answer two questions about Equations AAA and BBB:\begin{aligned} A.&&3(x+2)&=18 \\\\ B.&&x+2&=18 \end{aligned} A.B.3(x+2)x+2=18=181) How can we get Equation BBB from Equation AAA? Which of the following is not a guideline for effective team presentations? O establish transitions between speakers O don't worry about nonverbal behavio O coordinate the presentation aids assign roles and tasks to team members The offspring of a sexually reproducing organism receives A. half of its genetic material from each parent. B. an exact copy of each parent's genetic material. C. an exact copy of one parent's genetic material. D. genetic material that is not related to either parent. Selecting an SUV with a blue exterior? probably the most important cultural factor in shaping attitudes toward conflict is an orientation toward individualism or collectivism.T/F Lana bought a bamboo plant that was9 1/5 feet high. When she got it home she cut 7 1/2 feet off of it. How tall wasthe plant after she cut it down? 1. The maximum recommended amount of citric acid (H3C6H5O7; the 3 hydrogens listed first are the acidic hydrogens the only hydrogens that react in a neutralization reaction) in skin creams, serums, and lotions is 0. 50% by mass. A face serum containing citric acid is sold in a 250. 0 mL bottle. If the face serum has a density of 0. 979 g/mL, how many grams of citric acid is in the bottle of serum?. The complex numbers u and v are given by u = 1 + 2sqrt3i and v = 3 + 2i. In an Argand diagram,u and v are represented by the points A and B. A third point C lies in the first quadrant and issuch that BC = 2AB and angle ABC = 90. Find the complex number z represented by C, givingyour answer in the form x + iy, where x and y are real and exact