Find two numbers, if their sum is 97 and their difference is 7.

Answers

Answer 1

Answer:

52 and 45

Step-by-step explanation:

Let's call the two numbers x and y.

x+y=97

x-y=7

Let's add together the two equations:

2x=104

x=52

Since 52-y=7, y must be 45. Hope this helps!

Answer 2

If the sum of two numbers be 97 and their difference is 7 then the first number is 52 and second will be 45.

What is a number?

An arithmetical value, expressed by a word representing a particular quantity and used in counting and making calculations.

How to calculate a number?

let the first number is x. Because the sum of both numbers is 97 then the second number will be 97-x.

We have been given that their difference is 7 so by calculating the difference between the numbers we will get

x-(97-x)=7

x-97+x=7

2x=104

x=52

Calculating the second number through 97-x=97-52=45.

Hence the required numbers are 52 and 45.

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Related Questions

Which set of numbers is included in the solution set of the compound inequality? {–7, 5, 18, 24, 32} {–9, 7, 15, 22, 26} {16, 17, 22, 23, 24} {18, 19, 20, 21, 22}

Answers

Answer:

{-7,5,18,24,32}

Step-by-step explanation:

Let's verify all cases to determine the solution to the problem.

CASE A) we have

-9,7,15,22,26

The number 22 is not included in the solution set of the compound inequality.

CASE B) we have

-7,5,18,24,32

The number 22 is not included in the solution set of the compound inequality.

CASE C) we have

16,17,22,23,24

The number 22 is not included in the solution set of the compound inequality.

CASE D) we have

18,19,20,21,22

The numbers 19,20,21,22 are not included in the solution set of the compound inequality.

The answer to your question would be A

Fernando factored 45y^6 as (9y^3)(5y^3).

Salma factored 45y as (3y)(15y^5).

Which of them factored 45y^6 correctly?

Answers

Answer:

They both factored it correctly

Step-by-step explanation:

To find the one that was factored correctly, we expand the two of them and compare with [tex]45y^6[/tex].

Fernando

[tex](9y^3)(5y^3)[/tex]

= [tex]9 * 5 * y^3 * y^3[/tex]

= [tex]45y^6[/tex]

Salma

[tex](3y)(15y^5)[/tex]

= [tex]3 * 15 * y * y^5[/tex]

= [tex]45y^6[/tex]

As we can see, they both factored it correctly.

Answer:

both are correct in their factoring

Step-by-step explanation:

Which of these quadrilaterals are rectangles?

Answers

Answer:Parallelogram, rhombus ,square

Step-by-step explanation:

how do i factor the "common factor out of each expression?" ex:

12n^6 + 27n^2 - 18


whoever answers correct/ first ill give brainliest

Answers

Answer:

Step-by-step explanation:

A "common factor" is either a constant coefficient or a variable which shows up in every term of a given algebraic expression.  

Here we start with the expression  12n^6 + 27n^2 - 18.  'n' does not show up in every term and thus could not be a "common factor" of this expression.  On the other hand, 12, 27 and -18 can all be divided by 3, and so 3 is a common factor.

12n^6 + 27n^2 - 18 = 3(4n^6 + 9n^2 - 6)

1)  Identify the common factor (here it's 3)

2) Factor that out of the given expression:   3(4n^6 + 9n^2 - 6)

What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
0 (0,-5)
0 (0, -3)
O (0,3)
0 (0,5)

Answers

Answer:

(0,5)

Step-by-step explanation:

f(x) = x^2 + 3x + 5

The y intercept is when x =0

f(0) = 0 + 3*0 + 5

f(0) = 5

(0,5)

1+4=5
2+5=12
3+6=21
8+11=?

Answers

Answer:40

Step-by-step explanation:

21+8=29

29+11=40

877+100=__+258help me​

Answers

Answer:

719 = x

Step-by-step explanation:

877+100=_x_+258

Combine like terms

977 = x+258

Subtract 258

977 -258 = x+258-258

719 = x

719 would be the right answer I believe not too sure

A particular paper included the accompanying data on the tar level of cigarettes smoked for a sample of male smokers who subsequently died of lung cancer.

Assume it is reasonable to regard the sample as representative of male smokers who die of lung cancer.

Is there convincing evidence that the proportion of male smoker lung cancer deaths is not the same for the four given tar level categories at the Alpha = .05 level? (Use 2 decimal places.)

Tar Level Frequency

a. 0-7 107

b. 8-14 375

c. 15-21 500

d. 22 181

x2 =

Answers

Answer:

Check the explanation

Step-by-step explanation:

[tex]H_0[/tex]:proportion of male smoker lung deaths is same for the four given tar level categories.

[tex]H_1[/tex]:proportion of male smoker lung deaths is not the same for the four given tar level categories.

Expected frequency=1177/4=294.25

Tar level     Observed Freq.(O)        Expected Freq.(E)         (O-E)^2/E

0-7                         107                                   294.25                120.435

8-14                        375                                  294.25                5.643

15-21                       553                                 294.25                 227.533

>=22                       183                                  294.25                 42.061

Total=                    1177                                  1177                      395.673

Total chi square score=395.673

df=4-1=3

p-value=CHIDIST(395.673,3)<0.001

p-value<0.001,Reject null hypothesis.

There is sufficient evidence that the proportion of male smoker lung deaths is not the same for the four given tar level categories.

The box plot show the weights, in pounds, of the dogs in two different animal shelters.



Which correctly compares the ranges of the data?

• The range shelter A in 11, and the range in shelter B is 4.
• The range in shelter A is 20, and the range in shelter B is 10.
• The range in shelter A is 13, and the range in shelter B is 8.
• The range in shelter A is 22, and the range in shelter B is 18.

Answers

Answer:

The range in shelter A is 22, and the range in shelter B is 18.

Subtract 8 from 30 shelter A which gives you 22. Then subtract 10 from 28 which gives you 18 for Shelter B.

Answer:

The range in shelter A is 22, and the range in shelter B is 18.

Subtract 8 from 30 shelter A which gives you 22. Then subtract 10 from 28 which gives you 18 for Shelter B.

Step-by-step explanation:

Which expression shows a way to find 25% of 1000?

Answers

Answer:250

Step-by-step explanation:

25% of 1000

25/100 x1000

(25 x 1000)/100

25000/100=250

Classify this relation as direct, inverse, or neither:
On Sarah's 16 GB flash drive, she can fit 16 video clips of about 1 GB each, two movies of about 8 GB each, or 4000 songs of about 4 MB each.

A. Inverse; there is a constant product of 8 GB.
B. Inverse; there is a constant product of 16 GB.
C. Direct; the ratio of corresponding x- and y-values is constant.
D. Neither

Answers

Answer:

b option im not sure but

Step-by-step explanation:

B IS THE CORRECT ANWSER

The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the contract specifications, 5 percent of the items shipped can be defective. If the inspectors find 1 or fewer defects in the sample of 10, they ship the batch without further inspection. If they find 2 or more, the entire batch is inspected.
(A) Based on this sampling plan, the probability that a batch that meets the contract requirements will be shipped without further inspection is approximately___________.

Answers

Answer:

0.9138 = 91.38%

Step-by-step explanation:

For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of other items. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

10 items

This means that [tex]n = 10[/tex]

5 percent of the items shipped can be defective.

This means that [tex]p = 0.05[/tex]

Probability that a batch that meets the contract requirements will be shipped without further inspection

Probability of 1 or fewer defects.

So

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987[/tex]

[tex]P(X = 1) = C_{10,1}.(0.05)^{1}.(0.95)^{9} = 0.3151[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5987 + 0.3151 = 0.9138[/tex]

So the answer is:

0.9138 = 91.38%

Answer:

The answer is 0.9138

Step-by-step explanation:

This is a question of Binomial Probability Combination and the formula that will be used in this question is:

[tex]P(x) = nCx * p^{x} * q^{n - x}[/tex]

Where,

n ⇒ Finite sample number, here it is equal to 10p ⇒ Success, here it is equal to 5% defective or [tex]\frac{5}{100} = 0.05[/tex] q ⇒ Failure, here it is equal to (1 - p) i.e. [tex]q = 1 - \frac{5}{100} = 0.95[/tex][tex]x[/tex] ⇒ Number of defective products

Now, in order to to pass inspection and be shipped [tex]x[/tex] needs to be equal to '0' or '1'.

So,

Putting [tex]x = 0[/tex] in the formula along with the values mentioned above we get

[tex]P(0) = 10C0 * 0.05^{0} * 0.95^{10 - 0}[/tex]

[tex]P(0) = 1 * 1 * 0.5987[/tex]

[tex]P(0) = 0.5987[/tex]

Similarly,

Putting [tex]x = 1[/tex] in the formula along with the values mentioned in the bullets above we get

[tex]P(1) = 10C1 * 0.05^{1} * 0.95^{10 - 1}[/tex]

[tex]P(1) = 10 * 0.05 * 0.6302[/tex]

[tex]P(1) = 0.3151[/tex]

Now, in order to get the actual probability we need to add [tex]P(0)[/tex] and [tex]P(1)[/tex] because there is a chance that either there is no defective product or there is 1 defective in the shipped-batch from which sample was taken. Hence,

[tex]P(0) + P(1) = 0.5987 + 0.3151[/tex]

= 0.9138 (Answer)

What is more 7 9/10 or 7 4/5?

Answers

Answer:

7 9/10

Step-by-step explanation:

7 9/10 is more than 7 4/5

A coin is tossed and a fourth section spinner is spun once a tree diagram shows the possible outcomes for the two events what is the probability of flipping tails on a coin and spinning a two on the spinner

Answers

Answer:

2/6 or 1/3 I think

Step-by-step explanation:

you have a 1 out of 2 chances to land tails and 1 out of 4 chance to role a 2 on the spinner. so in total there is 6 chances for rolling and flipping the coin. and there is only 1 chance for both in the odds.

therefore I believe that its is 1/3 or 2/6. I do not know if I am right exactly but that is my thought process.

The sum of two consecutive even integers is 186. What are the two numbers?

Answers

Answer: 92 and 94

Step-by-step explanation:

x = first number

x + 2 = second number

x + x + 2 = 186

simplify

2x + 2 = 186

subtract 2 from both sides

2x = 184

divide both sides by 2

x = 92

92 + 2 = 94

The numbers are 92 and 94.

Make sure you read through the problem carefully so that you recognize that we are dealing with consecutive even integers here.

Any 2 consecutive even integers can be represented as x + x + 2.

So we can represent our integers as follows.

X ⇒ first integer

X + 2 ⇒ second integer

Since their sum is 168, our equation reads x + x + 2 = 186.

Simplifying on the left side gives us 2x + 2 = 186.

Now subtract 2 from both sides to get 2x = 184.

Now divide both sides by 2 and we find that x = 92.

If x = 92, then x + 2 will be 92 + 2 or 94.

So our two consecutive integers are 92 and 94.

If
f(x) = -4x + 8 and
g(x) = √ x – 1, which statement is true?

Answers

Answer:

-3 is not in the domain of f°g

Step-by-step explanation:

f°g=f(g(x))

f(x) = -4(√x-1)+8

*Remember that √x-1 has to be larger than 0

since √-3-1 = √-4, -3 is not in the domain of f°g

1
2
5
6
7
A six-sided number cube is rolled twice.
What is the probability that the first roll is an even number and the second roll is a number greater than 4?
1
6
1
3
2
3
5
6​

Answers

Answer:

1/6

Step-by-step explanation:

3/6 for even 3/6*2/6-----1/2*1/3

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.

Answers

Answer:

the answer would be D &F

Andre hit 46 balls at practice. He hit no fewer than 20 less than double the number of hits Jason had. Which inequality represents the situation if j represents the number of hits Jason had?
46 minus 20 less-than 2 j
2 j minus 20 less-than-or-equal-to 46
46 minus 20 less-than-or-equal-to 2 j
2 j minus 20 greater-than-or-equal-to 46

Answers

Answer:

  2j -20 ≤ 46

Step-by-step explanation:

"20 less than double the number Jason [hit]" can be represented by 2j-20.

We are told that 46 is no fewer than this value, so it is greater than or equal to this value:

  46 ≥ 2j -20

  2j -20 ≤ 46 . . . . . swapping sides to match answer choices

Answer:

2j -20 ≤ 46

Step-by-step explanation:

You roll a number cube numbered from 1 to 6. What is the probability that the number is 3?

Answers

Answer:

1/6

Step-by-step explanation:

because there is only one number 3 there is a 1/6 chance of you getting a 3

What’s the correct answer for this?

Answers

Answer:

A

Step-by-step explanation:

Suppose p = 6 and b = 8, so that tan x is 6/8

Then the hypotenuse is sq rt (6x6 + 8x8) = sq rt (36 + 64) = sq rt (100) = 10

So sin x = p / h = 6 / 10

And cos x = b / h = 8 / 10

So A is the answer

Answer:

A. sin x = 6/10 and cos x = 8/10.

Step-by-step explanation:

If tan x is 6/8 the  opposite side to x = 6 and the adjacent side = 8.

So the hypotenuse of the triangle = √(6^2 + 8^2)

= √100

= 10.

So sin x = 6/10 and cos x = 8/10.

Suppose a 3x6 coefficient matrix for a system has three pivot columns. Is the system​ consistent? Why or why​ not? Choose the correct answer below. A. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented​ matrix, which will have seven ​columns, could have a row of the form [Start 1 By 7 Matrix 1st Row 1st Column 0 2nd Column 0 3rd Column 0 4st Column 0 5st Column 0 6st Column 0 7st Column 1 EndMatrix ]​, so the system could be inconsistent. B. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented​ matrix, which will have seven ​columns, must have a row of the form [Start 1 By 7 Matrix 1st Row 1st Column 0 2nd Column 0 3rd Column 0 4st Column 0 5st Column 0 6st Column 0 7st Column 1 EndMatrix ]​, so the system is inconsistent. C. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have seven columns and will not have a row of the form [Start 1 By 7 Matrix 1st Row 1st Column 0 2nd Column 0 3rd Column 0 4st Column 0 5st Column 0 6st Column 0 7st Column 1 EndMatrix ]​, so the system is consiste

Answers

Answer:

Check the explanation

Step-by-step explanation:

All the 5 rows of the coefficient matrix (since it is of order 5×8) will have a pivot position. The augmented matrix obtained by adding a last column of constant terms to the 8 columns of the coefficient matrix will have nine columns and will not have a row of the form [0 0 0 0 0 0 0 0 1]. So the system is consistent.

Solve equations using structure
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Let m = x2 + 3.
Which equation is equivalent to (x2 + 3)2 + 7x2 + 21 =
10 in terms of m?

Answers

Answer: [tex]9m=10[/tex] or [tex]m=\frac{10}{9}[/tex]

I don't know your options... but you can check my work below and see if any of the other options fit yours.

Step-by-step explanation:

[tex](x^2 + 3)2 + 7x^2 + 21 =10[/tex]

If [tex]x^2+3=m[/tex], we can rewrite this as;

[tex](m)2+7x^2+21=10\\2m+7x^2+21=10[/tex]

By grouping, we can factor another m.

[tex]2m+(7x^2+21)=10[/tex]

Factor a 7.

[tex]2m+7(x^2+3)=10[/tex]

Rewrite it in terms of m.

[tex]2m+7m=10[/tex]

Combine like terms;

[tex]9m=10[/tex]

Divide by 9

[tex]m=\frac{10}{9}[/tex]

The table gives a few( x,y)pairs of a line in the coordinate plane x,y 24 -8 36 1 48 10 what is the y -intercept of the line

Answers

Answer:

-26

Step-by-step explanation:

One way to answer this question is to look at what's happening to the values of x and y.

x         y

24     -8

36       1

48      10

Go down the list of x values: they are increasing by 12 at each step

Go down the list of y values: they are increasing by 9 at each step.

The y-intercept of the line is the value of y when x = 0.

Think about reversing the steps (decrease x by 12 and decrease y by 10):

x         y

48     10

36       1

24      -8

12      -17

0      -26 <-----  the y intercept is -26.

Note: Your book or teacher may list y intercepts as points. If so, use (0, -26)

A researcher developing scanners to search for hidden weapons at airports has failed to conclude that a new scanner is significantly better than the current scanner. He made his decision based on a test using alpha equals 0.025 . Would he have made the same decision at alpha equals 0.10 question mark How about alpha equals 0.01 question mark Explain.

Answers

Answer:

Yes, he would take the same decision.

Step-by-step explanation:

Consequently, because the decision is taken on the test based on the use of alpha equals 0.025, the p-value of the test must have been greater than the given amount of importance that is 0.025 since the test is not applicable to us. So, p > 0.025.

If we know that p > 0.025, that would not mean p > 0.1 as well, because we do not know with the details given he had to make the same decision for 0.1 degree of meaning.

As for the 0.01 significance point, we 're sure p > 0.01 is greater than 0.025, so the test does not matter.

14 points
At the college football game there were 48,000 people. If 77% of the
people at the game were supporters for the home team, how many
people were supporting the home team?*
11,040
36,960
62,338
36,000

Answers

Answer:

11,040 is the answer

Step-by-step explanation:

you just need to subtract

There are 36,960 people were supporting the home team.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

At the college football game there were 48,000 people.

If 77% of the people at the game were supporters for the home team then we need to find how many people were supporting the home team.

x/ 48000 = 77/ 100

here plugging in all our numbers gives us .

x =  (77/ 100)48000

x = 36,960

Therefore, There are 36,960 people were supporting the home team.

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a square stained window is divided into four congurent traiangular sections by iron edging to represent seasons of the year. Each diagonal measures 9 inches. What is the total length of iron edging needed to create the sqaure frame and two diagnols?

Answers

Answer:

Total length of iron needed to make the square frame and two diagonals =  43.44 in (Approx)

Step-by-step explanation:

Given:

Length of diagonal = 9 in

Find:

Total length of iron needed to make the square frame and two diagonals.

Computation:

Area of square = 1/2(diagonal)²

Area of square = 1/2(9)²

Area of square = 40.5 in²

Area of square = Side × Side

40.5 in² = Side × Side

Side = 6.36 (approx)

Total length of iron needed to make the square frame and two diagonals = Permeter of square + (2 × diagonal)

⇒ (4 × 6.36) + (2 × 9)

⇒ (25.44) + (18)

⇒ 43.44 in

Total length of iron needed to make the square frame and two diagonals =  43.44 in (Approx)

A regular deck of cards has 52 cards with 4 aces. Carl asked a friend to pick a card from the deck three times, replacing the card each time. His friend picked three aces. Which expression will give the probability of that event?
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction)
(StartFraction 1 over 52 EndFraction) (StartFraction 1 over 51 EndFraction) (StartFraction 1 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 51 EndFraction) (StartFraction 4 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 3 over 51 EndFraction) (StartFraction 2 over 50 EndFraction)

Answers

Answer:

The answer is A

Step-by-step explanation:

Edg : )

Answer:

A

Step-by-step explanation:

What do you have to know before you can round a number

Answers

Answer:

if it ends in 5 then you round up but if it's less than 5 you round down

Step-by-step explanation:

You first have to locate the digit in the rounding place and this digit can be in the ones place, tens place,

hundreds place, thousands place, and so on.

After you locate the digit, look at the

digit to the right of the rounding place.

If the digit to the right of the rounding place is less than 5, we round down and if the digit is greater than or equal to 5, we round up.

Mrs. McAlister wrote the equation 10t-4t+3t=8 on the board and asked students to write equivalent equations.

Answers

As we solve we generate a succession of equivalent equations.

10t - 4t + 3t = 8

9t = 8

t = 8/9

Answer:

10t-4t+3t=8

t (10-4+3)=8

t (9)=8

9t=8

t=8/9

Step-by-step explanation:

In the question stated above, the common factor amongst the numbers with the variables is t, therefore we factorise the t out of the numbers, hence leaving t outside the bracket. After we solve the equation of the simple numbers of which the product is 9. After this we already know the 9 is to be multiplied by the t to make it 9t=8. We divide both side by the 9 and get a result of t=8/9

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Neil goes to the pet shop and selects a treat for his dog. He chooses one, then chooses another. What is the probability Neil selects a bone and then a ball? There are 3 collars, 4 bones, and 5 balls. plzz help me wid my french homework Question 1 :Identifiez les verbes dans les phrases suivantes et crivez-les ct.Infinitif groupe du verbe 1.Je suis anglais _____________________________2.Nous prenons un coca _____________________________3.Tu parles franais?_____________________________4.Quest-ce quil fait? _____________________________5.Jai beaucoup de copains _____________________________6.Elle ne comprend pas _____________________________7.Ils prparent des crpes_____________________________8.On crit un e-mail _____________________________Question 2. Utilisez les mots suivants dans une phrase complte en franais 1.Regarder _____________________________________________________2.Clbrer _____________________________________________________3.Dguiser _____________________________________________________4.Danser _____________________________________________________5.Partir _____________________________________________________6.Aller _____________________________________________________7.Dfiler _____________________________________________________Question 3 Compltez les phrases suivantes avec (a, est, ont & sont) 1.On _____________ alls une fte 2.Ils _____________ alls un bal3.Elle _____________ regard le dfil 4.Ils se _____________ couchs vers onze heures 5.Elle s_____________dguise6.Il _____________ all un concert gratuit 7.On _____________ cout de la musique classique 8.Ali et sa sur _____________ dans toute la soire Birds, lizards, and amphibians are very different groups of animals. However, these groups share some qualities that help them survive. Which of the following is an example of such a quality? A. Birds, lizards, and amphibians have fur to keep their bodies warm. B. Birds, lizards, and amphibians produce milk to feed their young. C. Birds, lizards, and amphibians reproduce by laying eggs. D. all of these Reese's truck can go 1,040miles on a full tank of 52gallons of gas. Find the rate of miles per gallon. i just need the work for 11 & 12. i know the answer for 11 is (16,4) and 12 is (5,7) but i dont know how to work it out to get those answers. (solving a system of linear equations) Suppose the top five firms in a market have market shares of 23%,12%,8%, 7% and 5% respectively. The remaining 45 firms in the market each have a market share of 1%. Would the FTC be likely to approve a merger between the top two firms in this market? Bob wants to go to the movies with his friends. The movie theater charges $ 8 per ticket. Bob's friends reserve $ 48.00 worth of tickets in advance. How many people in total can attend the movie?Help with steps if u love ur mama Trace the complete execution of the MergeSort algorithm when called on the array of integers, numbers, below. Show the resulting sub-arrays formed after each call to merge by enclosing them in { }. For example, if you originally had an array of 5 elements, a = {5,2,8,3,7}, the first call to merge would result with: {2, 5} 8, 3, 7 Note after the first call to merge, two arrays of size 1 have been merged into the sorted subarray {2,5} and the values 2 and 5 are sorted in array a You are to do this trace for the array, numbers, below. Be sure to show the resulting sub-arrays after each call to MergeSort. int[] numbers = {23, 14, 3, 56, 17, 8, 42, 18, 5}; Explain at least 3 Properties of 0. 25) Which BEST describes a common human experience as a theme of thisreading selection?The main character feels jealous of someone else'sshoes.The main character feels pride in performing menialtasks.The main character feels jealous of someone whoperforms a task well.The main character hopes that the team will be leftwithout its star player. Below is a regular octadecagon (18 sided polygon).What is the SUM of its interior angles.What is the measure of ONE of its interior angles? What is the y-intercept of line 12? Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 27 bags of leaves. How much money did he earn? Describe why the invasion of Normandy (D-Day) was such a dangerousmission. [Identify Cause and Effect] How did Lenins return from exile in April 1917 influence events in Russia?A.He encouraged gradual, moderate socialist reforms to prevent violence and bloodshed.B.He launched a revolution to force the tsar to abdicate.C.He led Bolshevik forces to overthrow the Provisional Government.D.He urged Kerensky to launch an offensive against Germany. Chandler and Alex were transferred to a new city and needed to find a new home. They carefully considered every house within their price range and finally purchased one that met all their criteria.A. Explain how each of the following is related to their decision to buy the home.a. Prefrontal cortexb. AlgorithmOne month before the move, Chandler and Alex asked friends to help them organize and pack their belongings.One week before the scheduled moving day, they learned that they needed to move out within 48 hours, so theyquickly finished packing. The volume of this square pyramid is 200in^3. Find the value of x. What was unfortunate according to Hoover One of the first things we notice in this dream is anamazing universalism. It does not say some men, but itsays all men. It does not say all white men, but it says allmen, which includes black men. It does not say allGentiles, but it says all men, which includes Jews. It doesnot say all Protestants, but it says all men, which includesCatholics.- "The American Dream,"Dr. Martin Luther King, Jr., 1964How does this passage make use of an appeal tologos?It explains what "all men" means and what itincludes.It relies on the use of the word "amazing."It focuses on the use of negative words.It points out differences in religion.IntroDone Is this angle acute right obtuse or straight