Pls helpppp I’m stuck and no one knows

Pls Helpppp Im Stuck And No One Knows

Answers

Answer 1

Answer:

x=9

Step-by-step explanation:

Answer 2
It’s 9
Sorry if it’s wrong

Related Questions

How many yards are equivalent to 38 feet? Show your work.

Answers

Answer:

12.6

Step-by-step explanation:

divide the length value by 3

[12.6)now can u help me with my history work

The diameter of a circle has endpoints at (0,11) and (-6,-1). Write the equation of the circle in standard form.

Answers

Answer:

(x - 3)^2 + (y - 6)^2 = 17

Step-by-step explanation:

The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.

(x - 3)^2 + (y - 6)^2 = 17

match each hypotenuse with the leg that will create a right
triangle ​

Answers

Answer:

Where is the question so that I can help you with it

Please help me solve these two questions

Answers

I hope the answer is helpful

i’m sorry this isn’t an answer i just rly need points so i can ask a test question

In a two-digit number, the units digit is 5 more than the tens digit. The number is 6 less than 4 times the sum of the digits. Find the number.

Answers

Answer:

Tens digit, x = 3

Unit digit, y = 8

Number = 38

Step-by-step explanation:

Let the 2 digit number = xy

y = x + 5 - - - (1)

10x + y = 4(x + y) - 6

10x + x + 5 = 4(x + x + 5) - 6

11x + 5 = 4(2x + 5) - 6

11x + 5 = 8x + 20 - 6

11x + 5 = 8x + 14

11x - 8x = 14 - 5

3x = 9

x = 9/3

x = 3

From (1)

y = x + 5

y = 3 + 5

y = 8

Find all the missing elements
Round to the nearest tenth.

Answers

Answer:

B = 48.7°

C = 61.3°

b = 12

Step-by-step explanation:

Given:

A = 70°

a = 15

c = 14

Required:

B, C, and b

Solution:

✔️Using the law of sines, let's find C:

Sin C/c = Sin A/a

Plug in the values

Sin C/14 = Sin 70/15

Cross multiply

Sin C × 15 = Sin 70 × 14

Divide both sides by 15

Sin C = (Sin 70 × 14)/15

Sin C = 0.8770

C = Sin^{-1}(0.8770)

C = 61.282566° = 61.3° (nearest tenth)

✔️Find B:

B = 180 - (70 + 61.3) (sum of triangle)

B = 48.7°

✔️Find b using the law of sines:

b/sinB = a/sinA

Plug in the values

b/sin 48.7 = 15/sin 70

Cross multiply

b*sin 70 = 15*sin 48.7

Divide both sides by sin 48.7

b = (15*sin 48.7)/sin 70

b = 11.9921789

b = 12.0 (nearest tenth)

I need help on this math problem fast with work shown and answer thx

Answers

Answer:

angle 1 = 124

angle 2 = 56

angle 3 = 124

angle 4 = 56

Step-by-step explanation:

This problem is a bit like a puzzle. To make notation easier I'm going to do this:

angle 1 = a

angle 2 = b

angle 3 = c

angle 4 = d

Now, let's start with what we know from the image.

All angles added together form a circle or 360 degrees

a + b + c + d = 360

In the same regard a + d = 180, and b + c = 180

Also,

a = c

and

b = d

It also tells us angle 4 is 25 degrees greater than one fourth of angle 1. Which is written as.

d = 1/4(a) + 25

If we look at all the equations we have, we can see that two of the equations have two of the same variables:

a + d = 180

and

d = 1/4(a) + 25

Using substitution we can take the second equation substitute it for d in the first equation giving us:

a + (1/4(a) + 25) = 180

Now we just solve for a

[tex]\frac{4}{4} a+ \frac{1}{4} a + 25 = 180\\\\\frac{5}{4}a + 25 = 180 \\\\(\frac{5}{4}a + 25) - 25 = (180) -25\\\\\frac{5}{4} a = 155\\\\\frac{5}{4} a * \frac{4}{5} = 155 * \frac{4}{5}\\\\a = 124[/tex]

Therefore a, or angle 1, is 124

Since a = c, then c, or angle 3, is also 124

Since a + d = 180 and a = 124 then

d = 180 -124

d = 56

So, d, or angle 4, is 56

And because b = d then b, or angle 2, is also 56

a = 124

b = 56

c = 124

d = 56

For extra measure, we can check our work by using the first equation

a + b + c + d = 360

124 + 56 + 124 + 56 = 360

Probability 0.35 0.3 0.05 0.1 0.05 0.15 8 9 10 11 Find the expected value of the above random variable.

Answers

The expected value of the given random variable is 8.3. This means that, on average, if we repeatedly sample from this random variable, we can expect the resulting values to be around 8.3.

To find the expected value of a random variable, you multiply each possible value by its corresponding probability and sum them up. In this case, we have a combination of probabilities and numerical values. Let's calculate the expected value:

Multiply each numerical value by its corresponding probability:

(0.35 * 8) + (0.3 * 9) + (0.05 * 10) + (0.1 * 11) + (0.05 * 11) + (0.15 * 11)

Perform the calculations:

2.8 + 2.7 + 0.5 + 1.1 + 0.55 + 1.65

Sum up the results:

8.3

Therefore, the expected value of the given random variable is 8.3. This means that, on average, if we repeatedly sample from this random variable, we can expect the resulting values to be around 8.3. The expected value provides a measure of central tendency for the random variable.

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I AM GIVING BRAINLIEST TO WHOEVER ANSWERS, IF IT SAYS IT'S ALREADY ANSWERED, IT'S A LINK. PLEASE HELP ME :D

Answers

I’m tired of these people and their fake a** link

The price of calculator is increased from R150 to R174.What is the percentage increased​

Answers

Answer:

16%

Step-by-step explanation:

(174-150)/150= 0.16

0.16*100 = 16%

what is the positive solution to the equation 4x^{2}+12x=135

Answers

Answer:

9/2 = 4 1/2

Step-by-step explanation:

Consider an election with 129 votes.

(a) If there are 4 candidates, what is the smallest number of votes that a plurality candidate could have? Explain your answer.

(b) If there are 8 candidates, what is the smallest number of votes that a plurality candidate could have? Explain your answer

Answers

(a) If there are 4 candidate,  the smallest number of votes that a plurality candidate could have is 33.

(b) If there are 8 candidate,  the smallest number of votes that a plurality candidate could have is 17.

What is the smallest number of votes obtained?

The smallest number of votes that a plurality candidate could have is calculated as follows;

(a) If there are 4 candidate, the number of votes for each candidate;

= 129 / 4

= 32.25

The least number of votes for the plurality candidate = 33

(b) If there are 8 candidate, the number of votes for each candidate;

= 129 / 8

= 16.125

The least number of votes for the plurality candidate = 17

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Given function f(x) = (x + x)(log(x) + 3x) a) Show O(x) for f(x). You must show the obtained witnesses and k such that f) C(x) whenever x > k.(5 points) b) Show (x) for f(x). You must show the obtained witnesses and k such that f(x) Clg(x) whenever x > k. (5 points) c) What are the obtained witnesses C. C, and k such that Glg(x) (x) < Calg(x) whenever * >k. What is g(x).

Answers

a. For the function f(x) = (x + x)(log(x) + 3x) is O(x) with the witnesses C = 7 and k = 1.

b. It is proved that f(x) = (x + x)(log(x) + 3x) is (x) with the witnesses C = 1 and k = 1.

c. The obtained witnesses C = 1, C' = 10, and k =[tex]10^C.[/tex] such that g(x)log(x) < Cg(x) whenever x > k. And g(x) = 1.

a) To show that f(x) = (x + x)(log(x) + 3x) is O(x),

find witnesses C and k such that f(x) ≤ C × x for all x > k.

Let's simplify the expression for f(x):

f(x) = 2x × (log(x) + 3x)

= 2x × log(x) + 6x²

Now, find a witness C and a value k such that f(x) ≤ C × x for all x > k.

Let's choose C = 7 and k = 1.

This means show that f(x) ≤ 7x for all x > 1.

For x > 1,

f(x) = 2x × log(x) + 6x²

< 2x × log(x) + 6x² + 7x

= 2x × log(x) + 6x² + 7x

= x(2log(x) + 6x + 7)

≤ x(2log(x) + 13x)

≤ x × 7

= 7x

This implies,

f(x) = (x + x)(log(x) + 3x) is O(x) with the witnesses C = 7 and k = 1.

b) To show that f(x) = (x + x)(log(x) + 3x) is (x),

find witnesses C and k such that f(x) ≥ C × x for all x > k.

Let us simplify the expression for f(x):

f(x) = 2x × (log(x) + 3x)

= 2x × log(x) + 6x²

Now, find a witness C and a value k such that f(x) ≥ C × x for all x > k.

Let us choose C = 1 and k = 1.

This means show that f(x) ≥ x for all x > 1.

For x > 1,

f(x) = 2x × log(x) + 6x²

> x × log(x) + 6x²

= x(log(x) + 6x)

≥ x(log(x) + x)

≥ x × log(x)

≥ x

Therefore, we have shown that f(x) = (x + x)(log(x) + 3x) is (x) with the witnesses C = 1 and k = 1.

c) To find the obtained witnesses C, C', and k .

such that g(x)log(x) < Cg(x) whenever x > k,

Examine the expression f(x) = (x + x)(log(x) + 3x) and determine the function g(x).

Let us simplify the expression for f(x),

f(x) = 2x × (log(x) + 3x)

= 2x × log(x) + 6x²

From the given condition, we have g(x)log(x) < Cg(x) rewrite this as,

log(x) < C

Since log(x) is an increasing function, if log(x) < C, it means x < [tex]10^C.[/tex]Therefore, the witness k is [tex]10^C.[/tex]

Now let us determine g(x).

Since g(x)log(x) appears in the inequality, we can take g(x) = 1.

C = 1, C' = 10, and k = [tex]10^C.[/tex] for g(x)log(x) < Cg(x) whenever x > k. And g(x) = 1.

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A hockey tournament consists of 16 teams. In the first round, every team is randomly assigned to one of 8 games (2 teams per game). Suppose exactly 3 of the teams are from Alberta. What is the probability all 3 Alberta teams are randomly assigned to different games (call this event A)?

Answers

Given that a hockey tournament consists of 16 teams. In the first round, every team is randomly assigned to one of 8 games (2 teams per game). We are supposed to find the probability that all three Alberta teams are randomly assigned to different games. Let A be the event of assigning all three Alberta teams to different games.

Then the number of ways to select 3 teams from 16 teams is $\ dbinom {16}{3}$, the number of ways to assign 3 teams to different games is $8\times7\times6$, and the number of ways to assign the remaining 13 teams to games is $(13!) / (2^6\times6!)$.The probability of event A is given by;$$


P(A) = \frac{\text{number of ways to assign 3 teams from Alberta to different games}}{\text{number of ways to assign all teams to games}} = \frac{8\times7\times6 \times (13!) / (2^6\times6!)}{\dbinom{16}{3} \times (14!) / (2^7\times7!)}
$$Simplifying the above expression,$$
P(A) = \frac{8\times7\times6 \times 13! \times 2}{\dbinom{16}{3} \times 14!} = \frac{8\times7\times6 \times 2}{\dbinom {16}{3}} = \frac{336}{560} = \frac{3}{5}

Therefore, the probability that all three Alberta teams are randomly assigned to different games is $\frac{3}{5}$.

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please help!! i will give brainliest.

Answers

Answer:

3/10 inches apart

Step-by-step explanation:

total miles based on 2" equals 33 miles can be found by solving this proportion:

2/33 = 6/x

2x = 198

x = 99

99 miles divided by 11 rest stops means each stop is 9 miles apart

now use new ratio of 1" equals 30 miles

1/30 = x/9

30x = 9

x = 9/30 or 3/10 inches

A zoo has 5 Emperor penguins. The Emperor penguins make up 30%, percent of all the penguins at the zoo. How many penguins live at the zoo

Answers

Answer:

50

Step-by-step explanation:

this can be solved by ratio   15/x = 30/100.  Cross multiply and solve for x.  The answer is 50.

which of the following rational functions has a horizontal asymptote at y = 3 and vertical asymptotes at x = 4 and x = –3?

Answers

To have a horizontal asymptote at y = 3 and vertical asymptotes at x = 4 and x = -3, the rational function should have the following form:

f(x) = (a polynomial in x) / ((x - 4)(x + 3))

The polynomial in the numerator can have any degree, but it must be of lower degree than the denominator.

Therefore, among the given rational functions, the one that satisfies these conditions would be the one in the form:

f(x) = (a polynomial) / ((x - 4)(x + 3))

Please provide the specific options you have, and I can help you determine which of those options matches this form.

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Find the value of x that makes the equation true:

2x = 24

x = 6
x = 4
x = 9
x = 12

Answers

Answer:

x = 12 the correct answer

Change from rectangular to spherical coordinates. (Let rho ≥ 0, 0 ≤ θ ≤ 2π, and 0 ≤ φ ≤ π.) (a) (5,5√3, 10√3 ) (rho,θ,φ) = (___) (b) (0,−3,−3) (rho,θ,φ) = (___)

Answers

The spherical coordinates for the point (0, -3, -3) are (3√2, -π/2, π/4).

(a) To change from rectangular coordinates to spherical coordinates, we use the following formulas:

rho = √(x² + y² + z²)

theta = atan2(y, x)

phi = acos(z / rho)

Given the rectangular coordinates (5, 5√3, 10√3), we can substitute the values into the formulas to find the corresponding spherical coordinates:

rho = √((5)² + (5√3)² + (10√3)²)

= √(25 + 75 + 300)

= √(400)

= 20

theta = atan2(5√3, 5)

= atan(√3)

≈ 1.0472 radians

phi = acos((10√3) / 20)

= acos(√3 / 2)

= π/6 radians

Therefore, the spherical coordinates for the point (5, 5√3, 10√3) are (20, 1.0472, π/6).

(b) Given the rectangular coordinates (0, -3, -3), we can apply the formulas for spherical coordinates:

rho = √((0)² + (-3)² + (-3)²)

= √(0 + 9 + 9)

= √(18)

= 3√2

theta = atan2(-3, 0)

= -π/2 radians

phi = acos((-3) / (3√2))

= acos(-1/√2)

= π/4 radians

Hence, the spherical coordinates for the point (0, -3, -3) are (3√2, -π/2, π/4).

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What value of x makes this proportion true? x/6=36/24 O A. 8 O B. 9 O C. 18 O D. 7​

Answers

Answer:

B. 9

Step-by-step explanation:

Proportions are just like fractions and to figure them out sometimes you can use simplification in different forms.

[tex]\frac{x}{6}[/tex] = [tex]\frac{36}{24}[/tex]

Now to get to 6, 24 had to be divided by 4...in proportions and fractions usually, the top and bottom are both simplified or proportioned to the same number or scale

36 ÷ 4 = 9

Check your answer by inserting it there to see if it works

9*4 = 36            6*4 = 24

Answer:

[tex]\boxed {\boxed {\sf B. \ 9}}[/tex]

Step-by-step explanation:

We are given this proportion:

[tex]\frac {x}{6}=\frac{36}{24}[/tex]

We want to solve for x, so we must isolate the variable using inverse operations.

It is being divided by 6. The inverse of division is multiplication, so we multiply both sides of the proportion by 6.

[tex]6*\frac {x}{6}=\frac{36}{24}*6[/tex]

[tex]x=\frac{36}{24}*6[/tex]

[tex]x=1.5*6 \\x=9[/tex]

Another way to solve is with cross multiplication. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.

[tex]\frac { x}{6}=\frac{36}{24}[/tex]

[tex]24*x=6*36[/tex]

[tex]24x=216[/tex]

The variable is being multiplied by 24. The inverse of multiplication is division, so we divide both sides of the equation by 24.

[tex]24x/24=216/24\\x=9[/tex]

The value of x that makes this proportion true is 9.

What is the perimeter of abcd ?

Answers

Answer:

38

Step-by-step explanation:

(10*2)+(9*2)

Mark can make 9 pancakes in 15 minutes, and Charlotte can make 42 pancakes in 45 minutes. Working together, how many minutes would it take to make 138 pancakes?​

Answers

Answer:

60 mins

Step-by-step explanation:

15+45=60

The time needed to make 138 pancakes if both Mark and Charlotte work together is 227.142 minutes.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25.

As it is given that Mark can make 9 pancakes in 15 minutes, therefore, the number of pancakes that Mark can make in one minute,

[tex]\text{Number of Pancake in one minute} = \dfrac{9}{15}[/tex]

Now, for Charlotte, it is given that he makes 42 pancakes in 45 minutes, therefore, the number of pancakes that Charlotte can make in one minute,

[tex]\text{Number of Pancake in one minute} = \dfrac{42}{45} = \dfrac{12}{15}[/tex]

Further, the total pancakes that can be made in one minute,

[tex]\text{Total Number of Pancake in one minute} = \dfrac{9}{15} +\dfrac{12}{15} = \dfrac{21}{15}[/tex]

As they both need to make 138 pancakes together, therefore, the time they need is,

[tex]\rm Time\ Needed = \dfrac{\text{Total number of pancakes}}{\text{Total number of pancakes in one minute}}[/tex]

[tex]\rm Time\ Needed = \dfrac{138}{\frac{21}{15}} = \dfrac{138\times 15}{21} = 227.142[/tex]

Hence, the time needed to make 138 pancakes if both Mark and Charlotte work together is 227.142 minutes.

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Joe's lunch at a restaurant cost $18.00 without tax he leaves the server a tip of 14% of the cost of lunch without tax what is the total cost of lunch including tip without tax​

Answers

Ok. So 14% of 18.00 can be figured out without a calculator. 18.00 / 10 = 1.80 = 10%.

(18.00 / 100) x 4 = 0.72

1.80 + 0.72 = $2.52 is the tip.

$18 + $2.52 = $20.52

⭐ Answered by Foxzy0⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

Let M = {x +1, x2 – 2,3x}. Which of the following statements is true about M? M spans P3 O the above is true M spans P2 O the above is true O None of the mentioned

Answers

The correct statement is : M spans P2.

The set M = {[tex]x+1, x^2-2, 3x[/tex]} consists of three polynomials in the variable x.

To determine whether M spans P3 or P2, we need to consider the highest degree of the polynomials in M.

The highest degree of the polynomials in M is 2 (from [tex]x^2-2[/tex]), which means that M can span at most the space of polynomials of degree 2 or less, i.e., P2.

To check whether M spans P2 or not, we need to see if any polynomial of degree 2 or less can be expressed as a linear combination of the polynomials in M.

We can write any polynomial of degree 2 or less as [tex]ax^2 + bx + c[/tex], where a, b, and c are constants.

To express this polynomial as a linear combination of the polynomials in M, we need to solve the system of equations:

[tex]a(x^2-2) + b(x+1) + c(3x) = ax^2 + bx + c[/tex]

This can be written as:

[tex]ax^2 + (-2a+b+3c)x + (b+c) = ax^2 + bx + c[/tex]

Equating the coefficients of [tex]x^2, x,[/tex] and the constant term, we get:

[tex]a = a,\\-2a+b+3c = b,\\b+c = c.[/tex]

The first equation is always true, and the other two equations simplify to:

[tex]-2a+3c = 0,\\b = 0.[/tex]

Solving for a, b, and c, we get:

[tex]a = 3c/2,\\b = 0,\\c = c.[/tex]

Therefore, any polynomial of degree 2 or less can be expressed as a linear combination of the polynomials in M. This means that M spans P2.

However, M cannot span P3, because P3 includes polynomials of degree 3, which cannot be expressed as a linear combination of the polynomials in M (since the highest degree polynomial in M is [tex]x^2[/tex]).

Therefore, the correct statement is: M spans P2.

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Read the story.
Nolan reads his little sister one of her two favorite books each night before bed. This month, she has chosen the mermaid book 3 times for every 2 times she has chosen the princess book.
Pick the diagram that models the ratio in the story.
If Nolan has read his sister a book before bed 20 times this month, how many times has he read the mermaid book?

Answers

Answer:The diagram that models the ratio in the story is:

Mermaid book: Princess book = 3:2

To find out how many times Nolan has read the mermaid book, we can set up the following proportion:

3/2 = x/20

Cross-multiplying, we get:

2x = 3 * 20

2x = 60

Dividing both sides by 2, we find:

x = 60/2

x = 30

Therefore, Nolan has read the mermaid book 30 times this month.

Write in standard form
531800000

Answers

Answer:

5.318 * 10 to power of 8

Step-by-step explanation:

Answer:

5.318 × [tex]10^{8}[/tex]

Step-by-step explanation:

A class interval refers to:
a) the number of categories within a group of data
b) a division used for grouping a set of observations
c) the mean of the set of data
d) the range of ages among a group of students

Answers

A class interval refers to option b) a division used for grouping a set of observations.

The correct answer is (b) a division used for grouping a set of observations. In statistics, when dealing with a large set of data, it is often helpful to group the data into intervals or classes to better understand the distribution. A class interval represents a range of values that are grouped together. It is defined by specifying the lower and upper boundaries of each interval.

For example, if we are analyzing the heights of individuals, we may create class intervals such as 150-160 cm, 160-170 cm, and so on. The purpose of using class intervals is to simplify the data and provide a clearer picture of the distribution. It allows us to summarize the data and identify patterns or trends within specific ranges. Therefore, option (b) is the correct description of a class interval.

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Find the missing side length of
the triangle.

Answers

Answer:

50 units

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Define

a = 48

b = 14

c = ?

Step 2: Solve for c

Substitute in variables [Pythagorean Theorem]:                                            48² + 14² = c²Evaluate exponents:                                                                                         2304 + 196 = c²Add:                                                                                                                   2500 = c²[Equality Property] Square root both sides:                                                    50 = cRewrite:                                                                                                             c = 50

Complete the table of values y = x2 + 4x - 6

Answers

Answer:

x=-2

Step-by-step explanation:

plssssss helpppp !!
tysmmmm

Answers

I think that the answer would be two triangles.

Other Questions
Why do you fall forward when you stub your toe on a chair? Explain in terms. Benitez Security Systems has an annual demand for a camera security system of 1500 units. The cost of the camera system is $400. Carrying cost rate is estimated at 30%, and the ordering cost is $30 per order. If the owner orders 100 she can get a 2% discount on the cost of the cameras. The company operates 300 days per year, therefore the daily demand is 5 units per day and the lead time to receive an order from the supplier is 5 days. What should be their ordering amount based on EOQ? What are the total costs based on EOQ? What are the total costs if they take the discount? Which of the following is a correct representation of secondarysuccession? A. bare rock -> lichens + mosses -> grass -> shrubs -> treesB. trees -> shrubs-> flowers -> grassC. soil -> grass -> shrubs -> treesD. grass -> bare rock -> soil -> trees Old Antique Store prepared the following budget information for the month of May: Sales are budgeted at $308,000. All sales are on account and a provision for bad debts is made for each month at two percent of sales for the month. Inventory was $92,000 on April 30; an inventory increase of $14,000 is planned for May 31. All inventory is marked to sell at cost plus 40 percent. Estimated cash disbursements for selling and administrative expenses for the month are $56,000. Depreciation for May is projected at $6,800. Old Antique's budgeted cost of inventory purchases for May is: Multiple Choice a. $88.000. b. $123,200. c. $190,000 d. $234,000. e. $220,000. The product of two factors is x2+ 6x + 8. If one of the factors is (x + 4), what is the other factor? If one of my angles is 130 degrees, what is the measure of the blue angle that is supplementary to it? plss help me I beg you Which sentence diagram correctly shows the sentence "Adele wants a sweater" Two global institutions or organizations that have had a significant impact on international law and trade are the United Nations (UN) and the International Monetary Fund (IMF).TRUE OR FALSE how tall is the building in the picture shown which of the following is true about over-the-counter drugs? a. some require a prescription b. they are monitored under the care of a physician c. they can be abused d. they cannot be abused Simplify: 10(-5x+4) Jejdjejehhe solve the equation. -4/9 f= -3 Which Confederate general became famous because of his stand at Bull Run? A. George Pickett B. Thomas J. Stonewall Jackson C. Robert E. Lee D. James Longstreet ____ + g g = khelp Cherry Corporation had 600,000 shares of common stock outstanding during 2020. In addition, it had 80,000 stock options outstanding, which had been granted to certain executives on January 1, 2020, and which gave them the right to purchase shares of Cherry's stock at an option price of $40 per share. The average market price of Cherry's common stock for 2020 was $50. Net income was $1,000,000.Compute EPS.Compute DEPS.Compute DEPS assuming that the options were granted on September 1, 2020, not January 1. a. [2 marks] Using the paragraph preceding question 1 above, draw adetailed cash flow diagram, from Heidruns perspective, that capturesthe details of Heidruns transactions.b. [2 marks] Using the paragraph preceding question 8 above, draw adetailed cash flow diagram, from Priscillas perspective, that capturesthe details of Priscillas transactions.c. [2 marks] A student answering question 9, above, wants to convert theeffective annual rate of Priscillas transactions into a nominal rate ofinterest, payable quarterly (i.e., a j4 rate). The student is using Excelto do the calculation. She has your answer in cell A1 of her spreadsheet.Write down detailed instructions how she can go from the data in cellA1 to the correct j4 rate, which is to be located in cell C4.d. [2 marks] Using the paragraph preceding question 10 above, draw adetailed cash flow diagram, from Rajeshs perspective, that capturesthe details of Rajeshs transactions.e. [2 marks] Using the two paragraphs and table preceding question 13above, draw a detailed cash flow diagram, from the perspective of AMZLife, that captures the details of the issue of one of its life annuities. Due soon !!!!!!!... 2. Which of the following was a significant factor in the Korean War?A.the failure of the League of NationsB. the end of World War IC. the Cold WarD.the atomic bombing of Japan 28. Why do you think the train through Mexico is called la Bestia (the beast)? Find examples in Chapter 4 to support your thinking. Please help meeee, I will brainliest. andPut it into your own words, if u use from internet.