OL ⊥ ON start overline, O, L, end overline, \perp, start overline, O, N, end overline \qquad m \angle LOM = 3x + 38^\circm∠LOM=3x+38 ∘ m, angle, L, O, M, equals, 3, x, plus, 38, degrees \qquad m \angle MON = 9x + 28^\circm∠MON=9x+28 ∘ m, angle, M, O, N, equals, 9, x, plus, 28, degrees Find m\angle LOMm∠LOMm, angle, L, O, M:

Answers

Answer 1

Answer:

44°

Step-by-step explanation:

If side OL is perpendicular to ON i.e OL ⊥ ON, then angle  ∠LON = 90°. If the is another line OM projecting from O with ∠LOM= (3x+38)° and ∠MON= (9x+28)°, then ∠MON +  ∠LOM =  ∠LON

Substituting the given angles int the expressions above to calculate the value of x;

(9x+28)° + (3x+38)° = 90°

12x+66 = 90°

12x = 90-66

12x = 24

x = 2°

Since ∠LOM= (3x+38)°, to get the value of the angle, we will substitute x = 2° into the expression as shown;

∠LOM= (3(2)+38)°

∠LOM= 6+38

∠LOM= 44°

Hence the measure of angle LOM is 44°

Answer 2

Answer: LOM = 44°

Step-by-step explanation: it’s right on khan academy (picture for proof)

OL ON Start Overline, O, L, End Overline, \perp, Start Overline, O, N, End Overline \qquad M \angle LOM

Related Questions

Which equation represents a linear function that has a slope of Four-fifths and a y-intercept of –6? y = negative 6 x + four-fifths y = four-fifths x minus 6 y = four-fifths x + 6 y = 6 x + four-fifths

Answers

Answer:

The answer is

[tex]y = \frac{4}{5} x - 6[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

m / slope = 4/5

c / y intercept = - 6

Substituting the values into the above formula

We have the final answer as

[tex]y = \frac{4}{5} x - 6[/tex]

Hope this helps you

Answer:

the  correct answer is C.

Step-by-step explanation:

i got it right on edge 2020

The path followed by a roller coaster as it climbs up and descends down from a peak can be modeled by a quadratic function, where h(x) is the height, in feet, and x is the horizontal distance, also in feet. The path begins and ends at the same height, covers a total horizontal distance of 100 feet, and reaches a maximum height of 250 feet. Which of the functions could be used to model this situation? A. h(x)=-0.1x^2-50x+250 B. h(x)=-0.1(x-50)^2+250 C. h(x)=-0.1(x-100)^2+250 D. h(x)=-0.1x^2+100x+250

Answers

Answer:

C

Step-by-step explanation:

0.1(x - 100)² + 250

0.1[(x - 100)(x - 100)] + 250

0.1(x² -200x + 10000) + 250

0.1x² - 20x + 1000 + 250

0.1x² - 20x + 1250

0.1x² - 25x + 5x + 1250

0.1x(x - 250) + 5(x + 250)

∴ (0.1x + 5)(x - 250) or (0.1x + 5)(x + 250)

What is the simplified form of the following expression?
[tex]2 (\sqrt[4]{16x}) - 2 (\sqrt[4]{2y} ) + 3 (\sqrt[4]{81x} ) - 4 (\sqrt[4]{32y} )[/tex]

Answers

We have

[tex]16=2^4\implies\sqrt[4]{16}=2[/tex]

[tex]81=3^4\implies\sqrt[4]{81}=3[/tex]

[tex]32=2^5\implies\sqrt[4]{32}=2\sqrt[4]{2}[/tex]

So

[tex]2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}[/tex]

is equivalent to

[tex]2^2\sqrt[4]{x}-2\sqrt[4]{2y}+3^2\sqrt[4]{x}-8\sqrt[4]{2y}[/tex]

which reduces to

[tex]13\sqrt[4]{x}-10\sqrt[4]{2y}[/tex]

very simple challenge hard question

Answers

Answer:

-58.41509433

Step-by-step explanation:

0.4+8(5-0.8*5/8)-5/(2.5)=34.4

[0.4+8(5-4/8)-(2)]=

[0.4+8(40-4)/8)-2=34.4 ( nominator)

15-(8.9-2.6/(2/3))*34*2/5 =-53

15-(8.9-3.9)*68/5

15-5*68/5=

15-68=-53 ( denominator)

(34.4/-53) *90

-58.41509433

Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and the other is quadratic–without graphing the system of equations.

Answers

Answer:

To determine the number of real number solutions of as system of equations in which one equation is linear and the other is quadratic

1) Given that there are two variables, x and y as an example, we make y the subject of the equation of the linear equation and substitute the the expression for y in x into the quadratic equation

We simplify and check the number of real roots with the quadratic formula, [tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex] for quadratic equations  the form 0 = a·x² - b·x + c

Where b² > 4·a·c there are two possible solutions and when b² = 4·a·c equation there is only one solution.

Step-by-step explanation:

Answer:

Isolate one variable in the system of equations. Use substitution to create a one-variable equation. Then, set the quadratic equation equal to zero and find the discriminant. If the discriminant is negative, then there are no real number solutions. If the discriminant is zero, then there is one real number solution. If the discriminant is positive, then there are two real number solutions.

Step-by-step explanation:

I just took the test on Edge 2020

Bella's back garden deck cost ₹5,391.47 per square metre to build. The deck is 11 metres wide and 12 metres long. How much did it cost to build the deck ...? brainliest as well as thanks also pleaase

Answers

Answer:

₹711,674.04

Step-by-step explanation:

1.firstly we need to solve for the total area of Bella's back garden deck.

2. Then we need to estimate mate the total cost of the garden given that a square metre cost ₹5,391.47 to build.

Given

length of garden = 12 metres

width of garden = 11 metres

Hence the area of the garden is given as

[tex]Area= length* width[/tex]

[tex]Area = 12*11= 132m^2[/tex]

if a square metre cost ₹5,391.47 to build.

132 square metre will cost= ₹5,391.47*132= ₹711,674.04

By visual inspection, determine the best-fitting regression model for the
scatterplot.
Need help ASAP please

Answers

Answer:

its a! sorry im so late

Step-by-step explanation:

Rewrite the given function as an equivalent function containing only cosine terms raised to a power of 1.f(x)=7cos^2x

Answers

Answer:

Step-by-step explanation:

Using the double angle formulas,

cos(2x) = cos^2(x) - sin^2(x) ............(1)

1            = cos^2(x) + sin^2(x)............(2)

add (1) and (2)

1 + cos(2x) = 2 cos^2(x)

=> cos^2(x) = (1/2) (1+cos(2x))  ..............(3)

f(x) =  7 cos^2 (x)  

substituting (3)

f(x) = (7/2) (1+cos(2x))

Find the perimeter of a square with a diagonal of 15√2.

Answers

Answer:

15

Step-by-step explanation:

Answer:

21.213

Step-by-step explanation:

Harry took a loan from the bank. D represents Harry's remaining debt (in dollars) after t months. D = -200t + 9000 What was the size of Harry's loan? Please HELPPP Im not allowed to stand up from my chair until i finish this and i've been at it for 1 HOUR PLEASEEEEEEEEEE thank you so much to who ever answers this YOU ARE THE BESTTTTTTT

Answers

Answer:

9000

Step-by-step explanation:

the inital ammout which is 9k is the size of the loan

-200 because he years 200 dollars per month

but the start up number is 9000 and he repays the load at 200 dollars a month

-1+(4+7)=(-1+4)+7 what property is this

Answers

Answer:

Associative Property.

Step-by-step explanation:

The Associative Property is the property that says that (a + b) + c = a + (b + c).

Hope this helps!

Answer:

Associate Property

Step-by-step explanation:

I found my answer at baba com

Eiko is wearing a magic ring that increases the power of her healing spell by 30\%30%30, percent. Without the ring, her healing spell restores HHH health points. Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring?

Answers

Answer:

Options B:  and C:

Step-by-step explanation:

Remember that 30% in fraction form is

The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:

And since it would add that to the current total we can right the current total as:

So our equation would be:

For option B:

We can factor out the H and you will be left with:

Combine or add the fractions inside the parenthesis and you will have:

For option C:

We can simplify the fractions which will result in:

Then factor out the H and you will have:

Options B:  and C:

Step-by-step explanation:

Remember that 30% in fraction form is

The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:

And since it would add that to the current total we can right the current total as:

So our equation would be:

For option B:

We can factor out the H and you will be left with:

Combine or add the fractions inside the parenthesis and you will have:

For option C:

We can simplify the fractions which will result in:

Then factor out the H and you will have:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

             ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                            PEACE!

.
What is y + 3 = 7(2 – 2) written in standard form?

Answers

Answer:

y = -3

Step-by-step explanation:

y + 3 = 7(2 - 2)

y + 3 = 0

Subtract 3 from both sides

y + 3 - 3 = 0 - 3

y = -3

Answer:

  7x - y = 17

Step-by-step explanation:

Maybe you want the standard form of the point-slope equation ...

  y +3 = 7(x -2)

__

  y + 3 = 7x -14 . . . . . eliminate parentheses

  17 = 7x -y . . . . . . . . add 14-y

  7x - y = 17

plzzzz answer right away will mark BRAINLIST AND FIVE STARS PLUS The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin. A 7-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, T 1. Column 3 is labeled 2 with entries H 2, T 2. Column 4 is labeled 3 with entries H 3, T 3. Column 5 is labeled 4 with entries H 4, T 4. Column 6 is labeled 5 with entries H 5, T 5. Column 7 is labeled 6 with entries H 6, T 6. What is the probability of getting a number less than 3 and a tails? StartFraction 1 over 12 EndFraction StartFraction 1 over 6 EndFraction One-fourth One-third

Answers

Answer:

P((1 or 2) and Tail) = 1/6 = StartFraction 1 over 6

Step-by-step explanation:

A six-sided die and a coin.

Probability of getting <3 and tail.

P((1 or 2) and Tail)

= 2/6 * 1/2

= 1/6

Answer:

1/6

Step-by-step explanation:

Which equation correctly uses the trigonometric ratio for sine to solve for y?

Answers

Answer:

b    y = 9sin(36)

Step-by-step explanation:

sin A = opp/hyp

for the 36-deg angle, opp = y, and hyp = 9.

sin 36 = opp/hyp

sin 36 = y/9

y = 9 * sin 36

Answer: b   y = 9sin(36)

Which three-dimensional figure is formed by the rotation given?

Answers

Cone is the figure that is formed in the rotation provided

Answer: The bottom right

Step-by-step explanation: Take a peek at the pic :)

PLEASE HELPPPPPP 65 points

Answers

Answer:

x + 2y ≤ 12

x + 2y = 12

Step-by-step explanation:

The teachers can not give more than 12 hours of homework so this is the answer. those are the 2 equations you can use. It under 12 hours or equal to 12 hours.

Answer:

Part A: x + 2y ≤ 12.

Part B: y = -1/2x + 6.

Part C: (0, 0).

Step-by-step explanation:

Part A: The total hours of homework have to be 12 hours, and it has to be either 12 hours or less. So, we have ≤ 12.

They take 1 math course with x hours of homework, so in total, that is 1 * x = x hours of math homework.

They take 2 science courses with y hours of homework, so in total, that is 2 * y = 2y hours of science homework.

The inequality would then be x + 2y ≤ 12.

Part B: x + 2y = 12

2y = -x + 12

y = -1/2x + 6

You can  use the Math is Fun: Function Grapher and Calculator to find the graph of the line, shown below.

Part C: Since the inequality uses a ≤ symbol, we know that the shading will be underneath the line. An appropriate point below the line includes (0, 0). We will test out whether it works as a point included in the inequality.

x + 2y ≤ 12

0 + 2 * 0 ≤ 12

0 + 0 ≤ 12

0 ≤ 12

Since this is a true statement, (0, 0) holds true for the inequality.

Hope this helps!

Find the vertex of the graph

Answers

Answer:

(-3, -11)

i needed to put more characters so here

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 50 feet cubed. A cylinder with height h and radius r. A cylinder with height h and radius r. What is the volume of the sphere?

Answers

Answer:

Volume of the sphere is 66.67r/h

Step-by-step explanation:

Hello,

Volume of a sphere = ⁴/₃πr³

Volume of a cylinder = πr²h

The volume of the cylinder = 50ft³

But the cylinder and sphere both have the same radius and height

Volume of a cylinder = πr²h

50 = πr²h

Make r² the subject of formula

r² = 50/πh

Volume of a sphere = ⁴/₃πr³

Put r² into the volume of a sphere

Volume of a sphere = ⁴/₃π(50/πh)r

Volume of a sphere = ⁴/₃ × 50r/h

Volume of a sphere = ²⁰⁰/₃ r/h

Volume of a sphere = 66.67r/h

The volume of the sphere is 66.67r/h

Can somebody please help? i need to graph the piecewise function. i won't forget to give brainliest.

Answers

Answer:  see graph (attached)

Step-by-step explanation:

Plot coordinates for each line. You MUST include the boundary points.

y = 3x - 5       x ≤ 1    

Choose x = -2, then y = 3(-2) - 5 = -11

Must include x = -1, then y = 3(-1) - 5 = -8

Draw a line starting at (-1, -8) and passing through (-2, -11)

y = -2x + 3      -1 < x < 4

Must include x = -1, then y = -2(-1) + 3 = 5

Must include x = 4, then y = -2(4) + 3 = -5

Draw a line segment starting at (-1, 5) and ending at (4, -5).

Note that both are strictly less than so must have open dots.

y = 2      x ≥ 4

Must include x = 4, then y = 2

Choose x = 5, then y = 2

Draw a line starting at (4, 2) and passing through (5, 2)

                   

For f(x) = 2x + 1 and g(x) = x2 – 7, find (f – g)(x).

Answers

Answer:

-x^2 +2x +8

Step-by-step explanation:

f(x) = 2x + 1

g(x) = x^2 – 7,

(f – g)(x) = 2x +1 - ( x^2 -7)

Distribute the minus sign

             = 2x+1 - x^2 +7

Combine like terms

             = -x^2 +2x +8

Answer:

its not true. Answer is (f + g)(x) = x2 + 2x - 6

Step-by-step explanation:

Trust me. Good luck.

Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and surrounded by packaging material. The total weight of the refrigerator, box, and packaging material was 205 pounds. What is the weight of the box and packaging material?

Answers

Answer:

13 lbs

Step-by-step explanation:

This is used for the next few questions: The rating for the new scary movie has a scale of 0 to 10. The average response was that the regular movie attendant enjoyed the movie with 8.3 points and a standard deviation of 0.5 points. What is the percent of people who gave the movie a rating between 6.8 and 8.8? (Write the number as a percent only without a percent sign.)

Answers

Answer:

The percentage that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8)  = 83.9≅ 84 percentage

Step-by-step explanation:

Step(i):-

Mean of the Population = 8.3 points

Standard deviation of the Population = 0.5 points

Let 'X' be the random variable in normal distribution

Let X = 6.8

[tex]Z = \frac{x-mean}{S.D} = \frac{6.8-8.3}{0.5} = -3[/tex]

Let X = 8.8

[tex]Z = \frac{x-mean}{S.D} = \frac{8.8-8.3}{0.5} = 1[/tex]

The probability that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8) = P(-3≤Z≤1)

                     = P(Z≤1)- P(Z≤-3)

                    =  0.5 + A(1) - ( 0.5 -A(-3))

                   = A(1) + A(3)       (∵A(-3)=A(3)

                  =  0.3413 +0.4986    (∵ From Normal table)

                 = 0.8399

Conclusion:-

The percentage that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8)  = 83.9≅ 84 percentage

Evaluate 3x2 - 4 when x = 2.
A. 12
B. 32
c. 2
D. 8

Answers

Answer:

8

Step-by-step explanation:

3x^2 - 4

Let x = 2

3 * 2^2 -4

Exponents first

3 *4 -4

Then multiply

12 -4

Now subtract

8

[tex]\text{Plug in and solve:}\\\\3(2)^2-4\\\\3(4)-4\\\\12-4\\\\8\\\\\boxed{\text{D). 8}}[/tex]

which of the following is equivalent to (x+4)(3x^2+2x)??

Answers

Answer:

c

Step-by-step explanation:

which answer is equivalent to √16/√49

Answers

Answer:

sqroot 16/49 A

Step-by-step explanation:

The expression  [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] is equivalent to expression [tex]\sqrt{\frac{16}{49}}[/tex] because by property  [tex]\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b} }[/tex].

The expression [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] can be simplified by taking the square root of 16 and the square root of 49 separately.

√16 equals 4 because the square root of 16 is the number that, when multiplied by itself, gives 16.

Similarly, √49 equals 7 because the square root of 49 is the number that, when multiplied by itself, gives 49.

So, the expression [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] simplifies to 4/7.

and we know that [tex]\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b} }[/tex]

[tex]\sqrt{\frac{16}{49}}[/tex] is equivalent to  [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] , which simplifies to 4/7.

Therefore, [tex]\sqrt{\frac{16}{49}}[/tex] is equivalent to  [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] .

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPj4

Please answer this in two minutes

Answers

Answer:

x ≈ 5.7

Step-by-step explanation:

Using the Sine rule in Δ WXY

[tex]\frac{WY}{sinX}[/tex] = [tex]\frac{XY}{sinW}[/tex] , substitute values

[tex]\frac{x}{sin33}[/tex] = [tex]\frac{10}{sin107}[/tex] ( cross- multiply )

x sin107° = 10 sin33° ( divide both sides by sin107° )

x = [tex]\frac{10sin33}{sin107}[/tex] ≈ 5.7 ( to the nearest tenth )

.....................

Answers

Answer:

B. √16 × √6

C. √96

Step-by-step explanation:

4√6

4 can be written as a square root.

4 = √16

√16 × √6

The square roots are multiplied, they can be written under one whole square root.

√(16 × 6)

√96

Clinical Trial When XELJANZ (tofacitinib) was administered as part of a clinical trial for this rheumatoid arthritis treatment, 1336 subjects were given 5 mg doses of the drug, and here are the numbers of adverse reactions: 57 had headaches, 21 had hypertension, 60 had upper respiratory tract infections, 51 had nasopharyngitis, and 53 had diarrhea. Does any one of these adverse reactions appear to be much more common than the others? (Hint: Find the relative frequencies using only the adverse reactions, not the total number of treated subjects.)

Answers

Answer:

Relative frequencies:

Headaches = 23.55 %

Hypertension = 8.68%

Upper respiratory tract infections =24.79%

Nasopharyngitis = 21.07

Diarrhea = 21.09%

None of these adverse reactions appear to be much more common than the others.

Step-by-step explanation:

Compute frequency:

The number of adverse reactions categories:

Headaches

Hypertension

Upper respiratory tract infections

Nasopharyngitis

Diarrhea

Frequency of each adverse reaction:

Adverse reaction                                Frequency        

Headaches                                                 57                    

Hypertension                                              21

Upper respiratory tract infections             60

Nasopharyngitis                                          51

Diarrhea                                                       53

Compute total frequency

Total frequency is compute dby taking sum of all frequencies;

Sum of frequencies = 57 + 21 + 60 + 51 + 53

                                 = 242

Compute relative frequency:

In order to find if any one of these adverse reactions appear to be much more common than the others, we have to compute relative frequency using these adverse reactions.

By calculating relative frequency we are looking at the number of times a specific adverse reaction appears to be more common, compared to the others.

To calculate relative frequency, divide the frequency of each adverse reaction by the total frequency i.e. 242.

Relative frequency for Headache = 57 / 242

                                                        = 0.2355

                                                        = 23.55 %

Relative frequency for Hypertension = 21 / 242

                                                             = 0.0868

                                                             = 8.68 %

Relative frequency for Upper respiratory tract infections = 60 / 242

                                                                                              = 0.2497

                                                                                              = 24.97 %

Relative frequency for Nasopharyngitis = 51 / 242

                                                                  = 0.2107

                                                                   = 21.07 %

Relative frequency for Diarrhea    = 53 / 242

                                                        = 0.2190

                                                         = 21.90 %

If you observe the relative frequencies of all the adverse reactions, none of them appear to be much more common than the others. Relative frequencies of headaches, upper respiratory tract infections, nasopharyngitis and diarrhea are almost equally common however, relative of hypertension appears to be very less than the other three.

The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).$[tex]The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).$[/tex]

Answers

Using the factor theorem, we have

[tex]7x^2+x-5=7(x-a)(x-b)[/tex]

and expanding gives us

[tex]7x^2+x-5=7(x^2-(a+b)x+ab)\implies\begin{cases}ab=-5\\a+b=-1\end{cases}[/tex]

So we have

[tex](a-4)(b-4)=ab-4(a+b)+16=-5-4(-1)+16=\boxed{15}[/tex]

Other Questions
What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth is 6 10 24 kg and radius of the earth is 6.4 10 6 m.) The model of criminal justice that is focused on protecting defendants rights is known as the ______ model. The 2 equations only plsPayday context: Its the end of the month which means it is time to pay your coffee shop employees. Make sure each employee gets paid the correct amount (write an equation for each situation and solve) identify variables when applicable Allowance for Doubtful Accounts has a credit balance of $2,100 at the end of the year (before adjustment), and an analysis of customers' accounts indicates uncollectible receivables of $19,700. Which of the following entries records the proper adjustment for bad debt expense?a. debit Bad Debt Expense, $21,800; credit Allowance for Doubtful Accounts, $21,800b. debit Allowance dfor Doubtful Accounts, $17,600; credit Bad Debt Expense, $17,600c. debit Allowance for Doubtful Accounts, $21,800; credit Debt Expense, $21,800d. debit Bad Debt Expense, $17,600; crdit Allowance for Doubful Accounts, $17,600Other receivables includes all of the followoing EXCEPT:a. taes receivableb. interest receivablec. receivables from employeesd. notes receivabe "Is UAE emerging as a hub for a new civilization with its intermingling of cultures? plzzzz solve the second one The primary objective of financial accounting is to: Multiple Choice Provide information on both the costs and benefits of looking after products and services. Monitor consumer needs, tastes, and price concerns. Provide accounting information that serves external users. Know what, when, and how much product to produce. Serve the decision-making needs of internal users. The nursing instructor is conducting a teaching session on Lawrence Kohlberg's theory of moral development. The nursing instructor describes stage 4 as the child having more concern with society as a whole. which stage is being described?a) Law and order orientationb) Instrumental relativist orientationc) Universal erhical principles orientation d) Social contract and legalisric orientation A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year, the poster is worth $20.70. Which equation can be used to find the value, y, after x years? (Round money values to the nearest penny.)y = 18(1.15)x y = 18(0.15)xy = 20.7(1.15)xy = 20.7(0.15)x a.The rulers over the Neolithic people in China were theXi.c. Shang.b. Xia.d. ChangPlease select the best answer from the choices providedABD find the area of triangle whose vertices are (- 8,4 )(- 6,6) and (- 3,9) The Box Manufacturing Division of the Allied Paper Company reported the following results from the past year. Shareholders require a return of 9%. Management calculated a weightedminusaverage cost of capital (WACC) of 7%. Allied's corporate tax rate is 30.Sales $700,000Operating income $175,000Total Assets $1,500000Current liabilities $600,000What is the division's Return on Investment (ROI)? A) 25.00%.B) 11.67%.C) 40.00%.D) 46.67%. Please answer this in two minutes An anchor lowered at a constant rate into the ocean takes 5 seconds to move -17.5 meters. What is the rate of the anchor in meters per second? Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps what is scientific advancement? describe characteristics please help Evaluate 5 - (3/2) to the 3 power A.) 13/8 B.) 9.5 C.) 18.5 D.) 2197/8 Under the surrender terms, the Confederates were required to _____.swear allegiance to the Unionfree their slavessurrender their livestockgive up their weapons If the rate of inflation is 4.8 %4.8%, what nominal interest rate is necessary for you to earn a 2.2 %2.2% real interest rate on your investment? (Note: Be careful not to round any intermediate steps less than six decimal places. from On the Northland Trail in White Fang by Jack London Dark spruce forest frowned on either side the frozen waterway. The trees had been stripped by a recent wind of their white covering of frost, and they seemed to lean towards each other, black and ominous, in the fading light. A vast silence reigned over the land. The land itself was a desolation, lifeless, without movement, so lone and cold that the spirit of it was not even that of sadness. There was a hint in it of laughter, but of a laughter more terrible than any sadnessa laughter that was mirthless as the smile of the sphinx, a laughter cold as the frost and partaking of the grimness of infallibility. It was the masterful and incommunicable wisdom of eternity laughing at the futility of life and the effort of life. It was the Wild, the savage, frozen-hearted Northland Wild. But there was life, abroad in the land and defiant. Down the frozen waterway toiled a string of wolfish dogs. Their bristly fur was rimed with frost. Their breath froze in the air as it left their mouths, spouting forth in spumes of vapor that settled upon the hair of their bodies and formed into crystals of frost. Leather harness was on the dogs, and leather traces attached them to a sled which dragged along behind. The sled was without runners. It was made of stout birch-bark, and its full surface rested on the snow. The front end of the sled was turned up, like a scroll, in order to force down and under the bore of soft snow that surged like a wave before it. On the sled, securely lashed, was a long and narrow oblong box. There were other things on the sledblankets, an axe, and a coffee-pot and frying pan; but prominent, occupying most of the space, was the long and narrow oblong box. In advance of the dogs, on wide snowshoes, toiled a man. At the rear of the sled toiled a second man. On the sled, in the box, lay a third man whose toil was over,a man whom the Wild had conquered and beaten down until he would never move nor struggle again. It is not the way of the wild to like movement. Life is an offence to it, for life is movement; and the Wild aims always to destroy movement. It freezes the water to prevent it running to the sea; it drives the sap out of the trees till they are frozen to their mighty hearts; and most ferociously and terribly of all does the Wild harry and crush into submission manman who is the most restless of life, ever in revolt against the dictum that all movement must in the end come to the cessation of movement. But at the front and rear unawed and indomitable, toiled the two men who were not yet dead. Their bodies were covered with fur and soft-tanned leather. Eyelashes and cheeks and lips were so coated with the crystals from their frozen breath that their faces were not discernible. The gave them the seeming of ghostly masques, undertakers in a spectral world at the funeral of some ghost. But under it all they were men, penetrating the land of desolation and mockery and silence, puny adventurers bent on colossal adventure, pitting themselves against the might of a world as remote and alien and pulseless as the abysses of space. They traveled on without speech, saving their breath for the work of their bodies. On every side was the silence, pressing upon them with a tangible presence. It affected their minds as the many atmospheres of deep water affect the body of the diver. It crushed them with the weight of unending vastness and unalterable decree. It crushed them into the remotest recesses of their own minds, pressing out of them, like juices from the grape, all the false ardors and exaltations and undue self-values of the human soul, until they perceived themselves finite and small, specks and motes, moving with weak cunning and little wisdom amidst the play and inter-play of the great blind elements and forces. Match the label to the correct option Which label provides evidence for each of the statements about the passage? 1.Dark spruce forest frowned on either side the frozen waterway. 2.side the frozen waterway. But there was life, abroad in the land and defiant. 3.A vast silence reigned over the land. 4.It was made of stout birch-bark, and its full surface rested on the snow. A.The winter setting creates a vivid scene B.The tundra is isolated and still C.Even in the midst of winter, there is action on the tundra D.The environment requires special equipment