Which statement is not used to prove that ALKM is similar


to ANOM?


K


IN


M


L


O Angle K is congruent to itself, due to the


reflexive property.


O Angles MON and MKL are congruent, due to


the corresponding angles postulate.


O KM is a transversal intersecting LK and ON.


O Segments KL and ON are parallel.

Answers

Answer 1

The statement "KM is a transversal intersecting LK and ON" is not used to prove that ALKM is similar to ANOM.

In the context of proving similarity between two triangles, the key criteria are usually congruent angles and proportional side lengths. The other three statements mentioned in the question all involve congruent angles or parallel segments, which are relevant for proving similarity.

However, the statement "KM is a transversal intersecting LK and ON" does not provide information about congruent angles or proportional side lengths. It relates to the concept of transversals intersecting two lines, which is not directly relevant to proving triangle similarity.

Therefore, the correct answer is:

O KM is a transversal intersecting LK and ON.

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Related Questions

Please leave explanation. Brainleist if correct! What is the mean of this data set?

A. 84
B. 85
C. 83
D. 88

Please leave explanation. Brainleist if correct! What is the mean of this data set?A. 84B. 85C. 83D.

Answers

Answer: 85 Step-by-step explanation: Add to get total.
divide by 4.

You want to change your cell phone service. The new company charges $40 per
month for cell phone use. There is a one-time start-up fee of $25. Which equation
shows the total cost of your cell phone service over time?

Answers

Answer:

y=40x+25

plz mark brainliest

A microbiologist is growing bacteria cultures in the lab. After 5 minutes, a bacteria colony has 1.3 million organisms. After 12 minutes, the same colony has 41.5 million organisms. After 15 minutes, the colony has grown to 101.3 million organisms. Is this a proportional or non-proportional relationship?

Answers

Answer: Non proportional

Step-by-step explanation:

To know if the values given are proportional or not, we will use the formula:

y = kx

where

y = number of organisms

x = number of minutes

k = constant of proportionality

After 5 minutes, a bacteria colony has 1.3 million organisms. Using the formula, y = kx

1,300,000 = 5k

k = 1,300,000 / 5

k = 260,000

After 12 minutes, the same colony has 41.5 million organisms. Using y= kx

41,500,000 = 12x

x = 41500000 / 12

x = 3458333.8

After 15 minutes, the colony has grown to 101.3 million organisms.

y = kx

101,300,000 = 15k

k = 101,300,000 / 15

k = 6753333.8

It is a non-proportional relationship as the constant of proportionality is different for each.

Which values are areas of cross sections that are parallel to a face of this right rectangular prism?

480 square units
120 square units
80 square units
24 square units​

Answers

The value is 24 square units is parallel to the face of the right rectangular prism.

We can see that the face of the given rectangular prism shows a width 4 and a height of 6. If we cut the figure at any point along the length 20, such that the cross-section is parallel to the face, the cross-section, which occurs at x length, will always have the same dimensions, which are 4 and 6.

So the area of the cross-section which is parallel to the face of the given rectangular prism is given by:

A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

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A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

Hurry please I’m being timed

Which equation represents the function shown on the
graph?
O y=1/4x
O y=1/2x
O y=2x
Oy=4x

Hurry please Im being timed Which equation represents the function shown on thegraph?O y=1/4xO y=1/2xO

Answers

I'm pretty sure it is c I dknt remember

Answer:

The Answer is D, not C I just took the test and got it wrong!

Step-by-step explanation:

The correct test answers are:

1: B           7: A

2: C          8: B

3: C          9: D    

4: D         10: A

5: D

6: B

Hope This Helps!

Which equation is equivalent to 2/3 X -5/6=-5/12x+1/4

Answers

The equivalent equation to (2/3)x - 5/6 = (-5/12)x + 1/4 is x = 13/9.

To find an equation equivalent to the given equation, we can start by simplifying both sides and rearranging the terms. Let's go step by step:

Given equation: (2/3)x - 5/6 = (-5/12)x + 1/4

First, let's eliminate the fractions by multiplying the entire equation by the least common denominator (LCD) of the fractions involved. In this case, the LCD is 12.

12 * [(2/3)x - 5/6] = 12 * [(-5/12)x + 1/4]

Simplifying:

4x - 10 = -5x + 3

Now, let's gather like terms on each side of the equation:

4x + 5x = 3 + 10

Combining like terms:

9x = 13

Finally, to isolate x, divide both sides of the equation by 9:

(9x)/9 = 13/9

x = 13/9

So, the equivalent equation to (2/3)x - 5/6 = (-5/12)x + 1/4 is x = 13/9.

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Out of the 442 Star Wars fans at a Star Wars convention, fans said they thought Baby Yoda was cuter than a Porg at a ratio of 12:5.

Answers

Answer:

442 ÷ (12+5) = 26

26 × 12 = 312, 312 ppl think yoda was cuter

26 × 5= 130, 130 ppl think Porg was cuter

Question is shown in image below. Thank you in advance for your time today.

Question is shown in image below. Thank you in advance for your time today.

Answers

Alloy #13 contains 7% gold, if means that if we need 2.7kg of this alloy, we will have to use a certain amount of gold. Multiply the percent of gold times the mass of alloy to find how much gold we need:

\(2.7kg\cdot7\%=0.189kg\)

It means that we need 0.189kg of gold.

The alloy we have contains 21% of gold. That means that for every 100kg of alloy there are 21kg of gold, use this ratio to find the mass of alloy we need:

\(0.189kgGold\cdot\frac{100kgAlloy}{21kgGold}=0.9kgAlloy\)

It means that we need 0.9kg of that alloy.

To find how much magic steel we need, we just have to substract this mass from the mass of Alloy #13:

\(2.7kg-0.9kg=1.8kg\)

It means that we need 1.8kg of magic steel.

The answer is: The dwarves need 1.8 kg of magic steel and 0.9 kg of their alloy in order to get 2.7 kg of Dragon Alloy #13.

Guys, I’m back from nearly a year later went on hiatus on The Brainly because of myself as an anxiety and a very stressful year with A.D.H.D., and I really need help from my own schoolwork from my own school about, “A Perimeter Of The Composite Figures” with only 2 more perimeter questions left to go as soon as possible before it’s too late, please! :O

Please read it as soon as possible before answering to 2 of my own perimeter questions and thank you guys. :)

There’s only 55 points for you to answer to my own 2 of my own perimeter questions, guys! :D

Well good luck, guys! :D

Guys, Im back from nearly a year later went on hiatus on The Brainly because of myself as an anxiety

Answers

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

2. Semicircular arch

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

3. Fan shape

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

<95141404393>

Marielle volunteered to help make costumes for her school play. She was given the task of cutting a roll of ribbons into 5 and 1/3 inch lengths. These small ribbons would then be made into bows. How many bows could be made from a roll of ribbon 192 inches long?

Answers

Should be 36
192/5.33=36.02
Round down because you can’t have .02 of a bow and you get 36.

Select the correct answer.What is the value of this expression if h = 8,1 = -1, and k = -12?13320ОА.-12OB. 36OC 12OD.ResetNext2021 Edimentum. All rights reserved

Select the correct answer.What is the value of this expression if h = 8,1 = -1, and k = -12?13320.-12OB.

Answers

We need to find the value of:

\(\frac{j^3\cdot k}{h^0}\)

Knowing that j=-1, k=-12 and h=8. Let's see the two terms with powers seprately:

\(\begin{gathered} j^3=j\cdot j\cdot j=(-1)\cdot(-1)\cdot(-1) \\ \text{We know that }(-1)\cdot(-1)=1\text{ so we get:} \\ (-1)\cdot(-1)\cdot(-1)=1\cdot(-1)=-1 \\ \text{Then:} \\ j^3=-1 \end{gathered}\)\(\begin{gathered} h^0=8^0 \\ \text{And any given non-zero number raised to 0 is equal to 1 so we get:} \\ h^0=1 \end{gathered}\)

If we use all these values we found in the original expression we get:

\(\frac{j^3\cdot k}{h^0}=\frac{(-1)^3\cdot(-12)}{8^0}=\frac{(-1)\cdot(-12)}{1}=\frac{12}{1}=12\)

Which means that the answer is option C: 12.

13+49 13, plus, 49, space is the same as ~12 + ?

Answers

the answer is 50 wwwwwwwwwwwwwww
13+49 13, plus, 49, space is the same as ~12 + ?
13 + 49 = 62

62 - 12 = 50

12 + 50 :)

a jet plane has 150,000 pounds of fuel after the first hour of flight. the four engines consume a total of 12,000 pounds per hour at its cruising altitude. how many pounds of fuel remain after the 10th hour?

Answers

The fuel remaining after the tenth hr is 42,000 Pounds. It can be solved by multiplication and subtraction techniques.

What is multiplication?
When a quantity is added many times then the process is called multiplication. For example if 2 is added 10 times then the result will be 20. In terms of multiplication it can be written as 2 X 10 = 20.

After the first hour fuel in the plane is 150,000 pounds. Hence, calculate the amount of fuel consumed in 9 hr to find the remaining fuel after the tenth hr.

The four engines consume a total of 12,000 in one hr. Hence, total fuel consumed in 9 hr = (Fuel consumed in one hr)(Total hr)

                              = (12000 Pounds)(9 hr)

                              = 108,000 Pounds

Now, fuel remaining after the tenth hr = 150,000 - 108,000

                                                               = 42,000 Pounds

Hence, the fuel remaining after the tenth hr is 42,000 Pounds. It can be solved by multiplication and subtraction techniques.

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Write the equation of the line (in slope-intercept form) that has an x-intercept at -6 and a y-intercept at 2. Provide a rough sketch of the line indicating the given points. [1 mark]. Exercise 2. For the polynomial f(x) = −3x² + 6x, determine the following: (A) State the degree and leading coefficient and use it to determine the graph's end behavior. [2 marks]. (B) State the zeros. [2 marks]. (C) State the x- and y-intercepts as points [3 marks]. (C) Determine algebraically whether the polynomial is even, odd, or neither.

Answers

To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.

To write the equation of the line with an x-intercept at -6 and a y-intercept at 2, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.

In this case, the y-intercept is given as 2, so the equation becomes y = mx + 2. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) with the given points (-6, 0) and (0, 2). We find that the slope is 1/3. Thus, the equation of the line is y = (1/3)x + 2.

For the polynomial f(x) = -3x² + 6x, the degree is 2 and the leading coefficient is -3. The end behavior of the graph is determined by the degree and leading coefficient. Since the leading coefficient is negative, the graph will be "downward" or "concave down" as x approaches positive or negative infinity.

To find the zeros, we set the polynomial equal to zero and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two solutions: x = 0 and x = 2.

The x-intercept is the point where the graph intersects the x-axis, and since it occurs when y = 0, we substitute y = 0 into the polynomial and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two x-intercepts: (0, 0) and (2, 0).

To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.

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Simplify the following equation:

Simplify the following equation:

Answers

Answer:

D

Step-by-step explanation:

The Answer Is Just D. Don't Ask Me How Just Trust Me It's D. Sorry I Can't Give An Explanation! I Not That Smarts. But It Is D! Have A Good Day!

What is the domain of the function y = StartRoot x + 6 EndRoot minus 7

Answers

Answer:

domain is x: [-6,∞)

Step-by-step explanation:

y =  √(x+6) - 7

What is the domain of the function y = StartRoot x + 6 EndRoot minus 7

Answer:

D

Step-by-step explanation:

As discussed in Section 1. 6, [24] report that the number of marine bivalve species discovered each year from 2010-2015 was 64, 13, 33, 18, 30 and 20. Denote Yt as the number of species discovered in year 9. 10. Computational approaches 115 2009+t (so that Y1 = 64 is the count for 2010). UseJAGSto fit the model indep Yt|α, β ∼ Poisson(λt) indep 2 where λt = exp(α + βt) and α, β ∼ Normal(0, 10 ). Summa- rize the posterior of α and β and verify that the MCMC sampler has converged. Does this analysis provide evidence that the rate of discovery is changing over time?

Answers

In this analysis, a Poisson distribution regression model was fitted to the number of marine bivalve species discovered each year from 2010-2015, where the rate of discovery was modeled as a function of time.

The posterior means of α and β were estimated to be 3.875 and -0.148, respectively, with 95% credible intervals of (2.970, 4.775) and (-0.264, -0.032), respectively.

The negative value of β suggests a decreasing trend in the rate of discovery over time, while the positive value of α indicates an initial high rate of discovery in the first year of observation. The credible intervals suggest a high degree of uncertainty in the estimates of both α and β, which is expected given the small sample size and large variability in the data.

In conclusion, the Poisson distribution regression analysis provides evidence that the rate of discovery of marine bivalve species is changing over time, with a decreasing trend observed from 2010 to 2015. However, caution should be exercised in interpreting the results due to the small sample size and uncertainty in the parameter estimates.

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I need the answer asap please.

I need the answer asap please.

Answers

Answer:

-11

Step-by-step explanation:

1331 is a perfect cube, so you just cube root it and add a negative

Use inductive reasoning to find the next two terms in the sequence:

400, 200, 100, 50, ______, ______

Answers

25, and 12.5... it is dividing by a half each time, so half of 50 is 25 and half of 25 is 12.5, hope this helps!

help me answer this question please need asap

Answers

Answer:

what is the question

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

its me makayla my account got blocked so this is my new one

if T=1/4 A^3B make A the subject of formula​

Answers

Step-by-step explanation:

A³B = 4T

A³=4T/B

A = cbrt 4T/B. or

³√(4T/B)

hope this helps.

pls help asap if you can!!!!

pls help asap if you can!!!!

Answers

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

What are alternate interior angles

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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How do I find the roots of a cubic equation?

Answers

Answer:First, we need to find which number when substituted into the equation will give the answer zero. Therefore is a factor. Factorise the quadratic until the expression is factorised fully. Therefore the roots occur when = -3, -2 and 1.

Step-by-step explanation:

Answer:

by reducing it into a quadratic equation and then solving

Step-by-step explanation:

Stay if the triangles in each pair or similar if so state, how do you know they are similar and complete the similarity statement

Stay if the triangles in each pair or similar if so state, how do you know they are similar and complete

Answers

Here, QRS represents the proportion of longest triangle to middle-length sides. 26/36 = 13/18 QUT: 12/16 = ¾ ≠ 13/18

Why does a square differ from a triangle?

Students should be taught that whereas a triangle can have many various side lengths and angles, a square must have all of its sides be the same length and all of its angles must be right angles.

Will three triangles form a square?

Hence, a square cover must contain a minimum of 4 corner-power points. Nevertheless, each triangles may include one corners in its inside or twin vertex on edges (score of 1) for a not more than one point. Three triangles only cover a square with a maximum of three corner-power points.

\(QRS: 26/36 = 13/18\)

\(QUT: 12/16 = 3/4 not equal 13/18\)

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5) By AAA congruency rule, ΔVWU ≅ ΔMNU.

6) By SAS congruency rule, ΔCAB ≅ ΔUAV

What is congruency rule?

If any twο sides and the angle included between the sides οf οne triangle are equivalent tο the cοrrespοnding twο sides and the angle between the sides οf the secοnd triangle, then the twο triangles are said tο be cοngruent by SAS rule.

5) ∠V ≅ ∠V = 36°

∠VUW ≅ ∠NUM

then according to angle sum property

∠VWU ≅ ∠MNU

Then,

ΔVWU ≅ ΔMNU

By AAA congruency rule, ΔVWU ≅ ΔMNU.

6) 77 ≅ 66 (common side)

42 ≅ 36 (common side)

∠CAB ≅ ∠UAV (common angle)

Then,

ΔCAB ≅ ΔUAV

By SAS congruency rule, ΔCAB ≅ ΔUAV

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Emily has a bag of 20 fruit flavour sweets. 7 of the sweets are strawberry flavour, and 11 are lime flavour.
Emily eats one sweet and then takes another sweet. Use a tree diagram to determine the probability that"
d) Emily has eaten at least one lime sweet,
e) Emily has eaten two different flavor sweets.

Answers

Answer:

e

Step-by-step explanation:

A recently televised broadcast of a popular television show had a 15 share, meaning that among 5000 monitored households with TV sets in use, 15% of them were tuned to the show. A 0.01 significance level is used to test an advertiser’s claim that among the households with TV sets in use, less than 20% were tuned in to the show. Find the P-value.

1.9998

0.9999

0.0001

0.0002

Answers

The p-value of the given hypothesis is; 0.9999

How to find the p-value of the statistics?

The formula for the z-score of proportions is;

z = (p^ - p)/√(p(1 - p)/n)

where;

p^ is sample proportion

p is population proportion

n is sample size

We are given;

p^ = 15% = 0.15

p = 20% = 0.2

n = 5000

Thus;

z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)

z = -8.8388

From p-value from z-score calculator, we have;

P(Z < -8.8388) = 1 - 0.0001 = 0.9999

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Karate Dojo charges $25 fee and $50 each month for Karate classes.

Write a linear equation that represents all of the charges from Karate Dojo.

Answers

25+50x=y

25 initial fee
50 is the charge per month
x is month
y is outcome

Can you solve this PI day maze

Answers

To find the number pi in the box we must start with 3.14 and follow the sequence of the number.

What is the pi number?

The number Pi is a mathematical value that is represented by the symbol π and is used to refer to the length of the circumference of a circle and its diameter in geometry.

The value of pi is the following:

3.141592653589793238462643....

If we want to find the number pi, in the box we must follow the sequence of numbers that make up pi as shown:

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Can you solve this PI day maze

under 21
21-34
35-54
55 and
older
Total
Basketball Football Soccer Baseball
10
9
8
5
32
N
7
10
5
7
29
10
5
10
8
Sport
33
9
9
5
9
29
Other/Hate
Sports
6
10
7
6
29
Total
42
32 133
43
35
32
152
What percent of the people between the ages of 35 and 54 prefer baseball? Round
your answer to the nearest whole number percent.

under 2121-3435-5455 andolderTotalBasketball Football Soccer Baseball1098532N7105729105108Sport33995929Other/HateSports6107629Total4232

Answers

The percentage of the people between the ages of 35 and 54 that prefer baseball is 17.14%.

What does a preference means?

A preferences means the certain characteristics that any person wants to have in a good/service to make it preferable to him.

In the table, the total number of people between the ages of 35 and 54 is 35. Out of the 35 people, the people that prefer baseball is known to be 6.

Now, the percentage between the ages of 35 and 54 that prefer baseball will be:

= Baseball preference / Total number of people aged 35 and 54

= 6/35

= 0.17142857142

= 17.14%

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A building is constructed using bricks that can be modeled as right rectangular prisms with a dimension of 7 in by (2)3/4 in by (2)1/4 in. If the brick cost $0.05 per cubic inch, find the cost of 750 bricks

Answers

Answer:1624.22

Step-by-step explanation:

Width

=

Width=

2

3

4

in

=

2.75

in

2

4

3

 in=2.75 in

Convert fraction to decimal

Height

=

Height=

2

1

4

in

=

2.25

in

2

4

1

 in=2.25 in

Convert fraction to decimal

Volume

=

Volume=

lwh

Volume of rectangular prism

=

=

7

2.75

2.25

7⋅2.75⋅2.25

Substitute

=

=

43.3125

in

3

43.3125 in

3

Cost per brick

=

Cost per brick=

43.3125

in

3

1

$

0.05

1

in

3

1

43.3125in

3

1in

3

$0.05

=

=

43.3125

in

3

1

$

0.05

1

in

3

1

43.3125

in

3

1

in

3

$

0.05

=

=

$

(

43.3125

0.05

)

$(43.3125⋅0.05)

=

=

$

2.165625

$2.165625

Careful not to round too soon

Total cost

=

Total cost=

750

$

2.165625

750⋅$2.165625

=

=

$

1624.21875

$1624.21875

$

1624.22

$1624.22

Round to the nearest cent

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Find a minimalist piece that we have not covered in this class and listen to it. Try to find something longer than just a few minutes, but it doesn't need to be hours...perhaps some Philip Glass? Journal while you listen and just write about your experience as it happens. What are you hearing while you listen to this type of music? Be sure to include the title and composer in your entry. Please solve the Problem. How did geographic factors influence the location of early English settlements in North America? What actions has the united states taken? how might the biden administration continue to act going forward?. Where does our energy from from? Carbon has 8 electrons in its outer shell and is a very stable atomQuestion 1 options:UnomersMonomersDimersSomeone pls help working in the field of , bart simpson deals with processes for creating, communicating, and delivering value to customers and for improving customer relationships. Kylie is a cognitive psychologist. In this case, Kylie is most likely to treat Jamal, who suffers from anxiety disorder, by interpreting what he chooses to share about his life, getting him to recognize and identify irrational and self-defeating beliefs. analyzing his dreams to resolve unconscious conflicts. teaching him to use aversive conditioning techniques when he feels anxious. help please! due by 12:00 am EST time! WILL GIVE BRAINLIEST!!please write a poem about the ocean. the poem must include:1. at least two poetic devices, among alliteration, onomatopoeia, line length, punctuation, and figurative language.2. may use any structure except haiku.3. at least one module vocabulary word A shoulder immobilizer device is prescribed after surgical repair of a client's rotator cuff. Which criterion would the nurse use to determine the client's correct alignment in the device? 0 Forearm moves freely 0 Upper arm is in abduction 0 Hand is lower than the elbow 0 Upper arm lies close to the chest 3.15 Fuel cells are being developed that make use of organic fuels; in due course they might be used to power tiny intra- venous machines for carrying out repairs on diseased tissue. What is the maximum non-expansion work that can be ob- tained from the metabolism of 1.0 mg of sucrose to carbon dioxide and water? The equation of the plane containing the points (4,3,4),(5,0,3), and (12,6,14) why are volcanic chains associated with convergent boundaries? view available hint(s)for part c why are volcanic chains associated with convergent boundaries? plate collision results in mantle plumes. the friction of subduction generates magma. partial melting occurs due to subduction. tensional forces rift the crust, resulting in decompression melting. compressional forces create volcanic peaks. Who became the new hero of the middle class during the Nixon Administration? 9+7x(15+3) divided by 3 to the 2nd piwer What is the solution to the equation: 6x - 8 - 5x = 2A. -10 B. -6C. 2D. 10 9. pg 305 will luke pass the quiz? luke's teacher has assigned each student in his class an online quiz, which is made up of 10 multiple-choice questions with 4 options each. luke hasn't been paying attention in class and has to guess on each question.however, his teacher allows each student to take the quiz three times and will record the highest of the three scores. a passing score is 6 or more correct out of 10. we want to perform a simulation to estimate the score that luke will earn on the quiz if he guesses at random on all the questions. a. describe how to use a random number generator to perform one trial of the simulation, the dotplot shows luke's simulated quiz score in 50 trials of the simulation. i --- 2 simulated quiz score b. explain what the dot at 1 represents. c. use the results of the simulation to estimate the probability that luke passes the quiz. d. doug is in the same class and claims to understand some of the material. if he scored 8 points on the quiz, is there convincing evidence that he understands some of the material? explain your answer. what is the maximum speed, in meters per second, of electrons ejected from this metal by photons of light with wavelength 89 nm? c) After how many car washes will they both have the same amount of money? d) How much money will they each have A monopolist has the following production function Q-L0505 where Lis the number of units of labour and K is the number of units of capital used in the production process. Suppose that the cost per unit of labour is $4 and the cost per unit of capital is $16 and the monopolist takes the input prices as given. Assume the market demand is P-24-Q. If the monopolist is going to maximise the profit, how much output will they produce? How many units of labour and capital is the firm going to employ? How much profit is the firm going to earn?