Please help I need an explanation.I will award the brainliest.
why is/isn't the ratio proportional?

Please Help I Need An Explanation.I Will Award The Brainliest.why Is/isn't The Ratio Proportional?

Answers

Answer 1

Answer:the ratio is one

Step-by-step explanation:


Related Questions

PLEASE HELP GIVING POINTS!!!!!

PLEASE HELP GIVING POINTS!!!!!
PLEASE HELP GIVING POINTS!!!!!

Answers

Answer:

its c

Step-by-step explanation:

Interview a but manager on the crisis experience in the workplace

Answers

The crisis experience in the workplace can range from a natural disaster to employee misconduct or even a pandemic like COVID-19. As a manager, it is essential to be prepared for any situation that may arise and have a crisis management plan in place.

One of the most significant challenges during a crisis is communication. It is crucial to have clear and concise communication with employees to avoid any confusion or panic. Regular updates and transparency are essential to keep everyone informed and on the same page.
Another important aspect of crisis management is supporting employees emotionally. A workplace crisis can be a traumatic experience, and managers must be prepared to provide support, such as counseling or mental health resources.

In conclusion, workplace crises can be unpredictable and challenging to handle. Having a crisis management plan in place, clear communication, and emotional support for employees can help mitigate the impact of a crisis. As a manager, it is essential to be prepared and adaptable during these challenging times.

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we draw 8 cards from an ordinary deck of 52 cards. What is the probability that we have exactly 3 queens

Answers

Answer:

.045% or about half of one percent

Step-by-step explanation:

P(queen) = 4/52

P(3 queens) = (4/52)³ = 64/140608 = .045%

Find the amount accumulated after
investing a principal P for t years at an
interest rate compounded annually.
P = $15,500
r = 9.5%
t = 12
Hint: A = P (1 + ) kt
A = $[?]
Round your answer to the nearest cent (hundredth).

Find the amount accumulated afterinvesting a principal P for t years at aninterest rate compounded annually.P

Answers

The amount accumulated after investing a principal P for t years at an interest rate compounded annually is  $46,057.58.

How to solve compound interest ?

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Therefore, let's find the amount accumulated after investing a principal P for t years at an interest rate compounded annually.

\(A = p(1 + \frac{r}{n} )^{nt}\)

where

P = principalr = ratet = timen = number of time

p = 15,500

r = 9.5%

t = 12

n = 1

\(A = 15500(1 + \frac{0.095}{1} )^{1(12)}\)

A = 15,500.00(1 + 0.095)¹²

A = $46,057.58

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$46,057.58, answer for acellus

The two-way frequency table below shows data on playing a sport and playing a musical instrument for students in a class.
Complete the following two-way table of row relative frequencies.
(If necessary, round your answers to the nearest hundredth.)

The two-way frequency table below shows data on playing a sport and playing a musical instrument for

Answers

Here is the completed table:

                                                           Plays a sport      Doesn't play a sport

Plays a musical instrument                  0.46                         0.54

Doesn't play a musical instrument       0.73                          0.27

What are the row frequencies?

Relative frequency measures how often a value appears relative to the sum of the total values.

                                                    Plays a sport              Doesn't play a sport

Plays a musical instrument              (6/13)  = 0.46                   (7/13)  = 0.54

Doesn't play a musical instrument       (8/11) 0.73                       (3/11) =0.27

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The measure of an angle is 175. 5°. What is the measure of its supplementary angle?

Answers

If we have an angle equal to 175.5°, then its supplementary angle is equal to 4.5°.

To solve this problem we must know that an angle and its supplementary add up to 180º, that is, the following equality must be satisfied:

β + α = 180º

The measure of a supplementary angle is the difference between 180° and the given angle. In this case, the given angle is 175.5°. To find the measure of the supplementary angle, we will subtract 175.5° from 180°.
α = 180° - 175.5° = 4.5°

Therefore, the measure of the supplementary angle is 4.5°.

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work out the total surface area of the pyramid

work out the total surface area of the pyramid

Answers

The total surface area of the pyramid is  335 square centimeters

How to determine the total surface area

The formula for determining the total surface area of a pyramid is expressed as;

TSI = 1/2(PI) + B

Given that;

TSI is the total surface area of the pyramidP is the base perimeter of the pyramidI is the slant height of the pyramidB is the base area of the pyramid

Now, let's determine the base perimeter

Perimeter = 2( l + w)

Substitute the values

Perimeter = 2 ( 8 + 12)

Perimeter = 40 centimeters

The base area is given as;

Base area =  8(12)

Base area = 96 square centimeters

Substitute the values, we have;

Total surface area = 1/ 2 (40)(12) + 96

Total surface area = 240 + 96

Total surface area = 335 square centimeters

Hence, the value is 335 square centimeters

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.Extensive experience with fans of a certain type used in diesel engines has suggested that the exponential distribution provides a good model for time until failure. Suppose the mean time until failure is 25,000 hours. What is the probability that a. A randomly selected fan will last at least 20,000 hours? At most 30,000 hours? Between 20,000 and 30,000 hours? b. The lifetime of a fan exceeds the mean value by more than 2 standard deviations? More than 3 standard deviations?

Answers

The solution for the given problem is (a) P(X ≥ 20,000) = 0.4493, P(X ≤ 30,000) = 0.7769, P(20,000 ≤ X ≤ 30,000) = 0.3276. (b) P(X > 75,000) = 0.0821, P(X > 100,000) = 0.0183.

Solution: a) To find the probability that a randomly selected fan will last at least 20,000 hours. P(X ≥ 20,000). Now, Mean time until failure is 25,000 hours which is given and is represented by µ. Hence, µ = 25,000 hrs. The parameter used for the Exponential distribution is λ.λ = 1 / µλ = 1 / 25,000 hrs. λ = 0.00004. Therefore, the probability that a randomly selected fan will last at least 20,000 hours. P(X ≥ 20,000) =  e -λt = e -0.00004 × 20,000 ≈ 0.4493The probability that a randomly selected fan will last at least 20,000 hours is 0.4493.

To find the probability that a randomly selected fan will last at most 30,000 hours. P(X ≤ 30,000) = 1 - e -λt = 1 - e -0.00004 × 30,000 ≈ 0.7769. The probability that a randomly selected fan will last at most 30,000 hours is 0.7769.

To find the probability that a randomly selected fan will last between 20,000 and 30,000 hours. P(20,000 ≤ X ≤ 30,000) = P(X ≤ 30,000) - P(X ≤ 20,000)P(20,000 ≤ X ≤ 30,000) = (1 - e -λt) - (1 - e -λt)P(20,000 ≤ X ≤ 30,000) = e -0.00004 × 20,000 - e -0.00004 × 30,000 ≈ 0.3276. The probability that a randomly selected fan will last between 20,000 and 30,000 hours is 0.3276.

b) To find the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations.

z = (X - µ) / σZ = (X - µ) / σ = (X - 25,000) / (25,000)λ = 1 / µλ = 1 / 25,000 hrs. λ = 0.00004

The formula for z is z = (X - µ) / σ => X = z σ + µ

The standard deviation of the Exponential distribution is σ = 1 / λσ = 1 / 0.00004 = 25,000 hrs

Z = (X - µ) / σ = (X - 25,000) / (25,000)Z > 2z > 2 => (X - 25,000) / (25,000) > 2 => X > 75,000 hrs.

Now, the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations.

P(X > 75,000) = e -λt = e -0.00004 × 75,000 ≈ 0.0821

The probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations is 0.0821

To find the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations.

Z > 3z > 3 => (X - 25,000) / (25,000) > 3 => X > 100,000 hrs.

Now, the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations P(X > 100,000) = e -λt = e -0.00004 × 100,000 ≈ 0.0183

The probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations is 0.0183.

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Identify the most reasonable unit to measure the volume of a glass of orange juice.

Answers

Answer:

Liters

Step-by-step explanation:

Every recipient that has a volume of liquid in it,you mesure it in liters!

Find the area of the shaded region
need this ASAP!

Find the area of the shaded regionneed this ASAP!

Answers

ALL THE SHAPES HERE ARE RECTANGLES AND THE AREA OF A RECTANGLE IS =L×B

TO GET THE AREA OF THE SHADED PART WE SAY THE AREA OF THE OUTSIDE SHAPE SUBTRACT THE AREA OF THE INNER SHAPE.

LET US FIND THE AREA OF THE OUTSIDE RECTANGLE FIRST.

\(a1 = (x + 5)(x - 1) \\ = {x}^{2} - x + 5x - 5 \\ a = {x}^{2} +4 x - 5\)

NOW LET US FIND THE AREA OF THE INNER RECTANGLE.

\(a2 = (x + 1)(x - 4) \\ a = {x}^{2} - 4x + x - 4 \\ \\ a = {x }^{2} - 3x - 4\)

the area of the shaded part is given by

\(a1 - a2 = ( {x}^{2} +4 x - 5) - ( {x}^{2} - 3x - 4) \\ = {x}^{2} + 4x - 5 - {x }^{2} + 3x + 4 \\ = {x}^{2} - {x}^{2} + 4x + 3x - 5 + 4 \\ areashaded = 7x - 1\)

You can model the population of a certain city between 1955-2000 by the radical function P(x)=55,000 sqrt x-1945. Using this model, in which year was the population of that city 275,000

Answers

The population of a city can be modeled by a radical function, P(x) = 55,000 √x - 1945, where x represents the year and P(x) represents the population in that year.

The year 1945 has been subtracted from x in order to simplify the equation and make it easier to interpret.

In this particular problem, we are asked to find the year in which the population of the city was 275,000. To do this, we need to solve for x in the equation:

55,000 √x - 1945 = 275,000

The first step is to isolate x on one side of the equation. We can do this by adding 1945 to both sides:

55,000 √x = 275,000 + 1945

Next, we need to get rid of the square root symbol. One way to do this is to square both sides of the equation:

x = (275,000 + 1945) / 55,000^2

The square root has been eliminated, but the equation still doesn't give us x in a form that is easy to interpret. To get x in a more useful form, we can take the square root of both sides:

√x = √((275,000 + 1945) / 55,000^2)

So, the year in which the population of the city was 275,000 is approximately x + 1945 = 1976.

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Solve for x
2(5x+3)=6x-3

Answers

Linear equations

2(5x + 3) = 6x -3

Apply the multiplicative law of distribution.

10x + 6 = 6x - 3

Rearrange the unknown terms on the left side of the equation.

10x - 6x = -3 - 6

Combine as terms

4x = -3 - 6

Calculate the sum or difference.

4x = -9

Divide both sides of the equation by the coefficient of the variable.

x = - 9/4

The answer is x = - 9/4. Because if we do the division, the result is not exact; means that the result is decimal.

Answer:

x = -9/4

Step-by-step explanation:

2(5x+3)=6x-3

10x + 6 = 6x - 3

10x - 6x = -3 - 6

4x = -3 - 6

4x = -9

The answer is x = -9/4

using the graph, determine the coordinates of the roots of the parabila.

using the graph, determine the coordinates of the roots of the parabila.

Answers

Answer:

Step-by-step explanation:

sheee i dont know man

Express your answer in scientific notation. 4.9\cdot 10^{5} - 5.8 \cdot 10^{4} =4.9⋅10 5 −5.8⋅10 4 =4, point, 9, dot, 10, start superscript, 5, end superscript, minus, 5, point, 8, dot, 10, start superscript, 4, end superscript, equals on khan academy Adding & subtracting in scientific notation.

Answers

Answer:

\(4.32*10^{5}\)

Step-by-step explanation:

Given the expression \(4.9*10^{5}-5.8*10^{4}\), to solve the expression, we need to write both scientific notation to the same power of 10.

\(5.8*10^{4} is \ expressed\ as \ 0.58*10^{5}\)

The expression above becomes \(4.9*10^{5}-0.58*10^{5}\). On taking the difference;

\(4.9*10^{5}-0.58*10^{5}\\= (4.9-0.58)*10^{5} \\= 4.32*10^{5}\)

The final expression gives the right answer

6/7 divided (-13/5) = ??

Answers

Answer:

- 30/91

Step-by-step explanation:

can you please help me??

can you please help me??

Answers

V = l • w • h.

V= 14 1/2 • 6 1/2 • 5

V = 471. 25 inches

find the number of ways a six-sided die can be constructed if each side is marked differently with dots.

Answers

The number of ways a six-sided die can be constructed with different markings on each side is 720.

If we have a six-sided die, each side can be marked differently with dots. This means that we can have six different options for the first side, five different options for the second side (since one of the dots has already been used), four different options for the third side (since two of the dots have already been used), three different options for the fourth side, two different options for the fifth side, and only one option left for the sixth side.
Therefore, to find the number of ways a six-sided die can be constructed if each side is marked differently with dots, we need to multiply all of these different options together. That is, we need to find the product of 6 x 5 x 4 x 3 x 2 x 1, which is equal to 720.
Therefore, there are 720 different ways that a six-sided die can be constructed if each side is marked differently with dots. This is because there are 720 different permutations of six objects, where each object can only appear once, and the order matters.

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A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 2 had a mispriced item. If 1,500 people go to this store each day, how many people would you expect to have a mispriced item?

Answers

Answer:

12

Step-by-step explanation:

Fiona is studying how income taxes impact various families and their finances .she creates a table with various amounts of taxes owed and estimates that this represents 9%of each familys gross income

Answers

Income tax is the tax that is imposed by the government on the income that is generated by individuals and businesses.

What is a tax?

Your information is incomplete. Therefore, an overview of a tax will be given. It should be noted that a tax is a compulsory levy that is paid by individuals and businesses.

Also, income tax is the tax that is imposed by the government on the income that is generated by individuals and businesses. This is important to generate revenue for the government.

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1. IF HEIGHTS OF FEMALE COLLEGE STUDENTS ARE NORMALLY DISTRIBUTED WITH A MEAN OF 64 INCHES AND A STANDARD DEVIATION OF 10 INCHES, WHAT IS THE PROBABILITY OF RANDOMLY SELECTING A FEMALE COLLEGE STUDENT WITH A HEIGHT LESS THAN 63 INCHES.
2. WHAT IS THE PROBABILITY OF RANDOMLY SELECTING A FEMALE COLLEGE STUDENT WITH A HEIGHT BETWEEN 61 AND 69 INCHES?
3. WHAT IS THE PROBABILITY OF FINDING AN AVERAGE OF GREATER THAN 65 INCHES WITH A SAMPLE OF 35 FEMALE COLLEGE STUDENTS?

Answers

a)0.1587 (or 15.87%)

b)0.6827 (or 68.27%)

c)0.0228 (or 2.28%)

1. Using the Normal Distribution formula with a mean (μ) of 64 inches and standard deviation (σ) of 10 inches, the probability of randomly selecting a female college student with a height less than 63 inches is 0.1587 (or 15.87%).

2. Using the Normal Distribution formula with a mean (μ) of 64 inches and standard deviation (σ) of 10 inches, the probability of randomly selecting a female college student with a height between 61 and 69 inches is 0.6827 (or 68.27%).

3. Using the Central Limit Theorem, the probability of finding an average of greater than 65 inches with a sample of 35 female college students is 0.0228 (or 2.28%).

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\(4 \frac{1}{9} + 1 \frac{1}{2} \)
\(4 \frac{1}{2} \div \frac{3}{5} \)
need help please​

Answers

Step-by-step explanation:

\( \tt{ 1. \: \: 4 \frac{1}{9} + 1 \frac{1}{2}}\)

⇢ \( \tt{ \frac{37}{9} + \frac{3}{2} }\)

⇢ \( \tt{ \frac{37 \times 2 + 3 \times 9}{18} }\)

⇢ \( \tt{ \frac{74 + 27}{18} }\)

⇢ \( \tt{ \frac{101}{18}} \)

⇢ \( \boxed{ \tt{5 \frac{11}{18}} }\)

---------------------------------------------------------

\( \tt{ \: 2. \: \: 4 \frac{1}{2} \div \frac{3}{5}}\)

⇢ \( \tt{ \frac{9}{2} \times \frac{5}{3}} \)

⇢ \( \tt{ \frac{9 \times 5}{2 \times 3}} \)

⇢ \( \tt{ \frac{45}{6}} \)

⇢ \( \boxed{ \tt{7 \frac{3}{6}} }\)

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I’m on Acellus and I have to combine like terms. I already got 12x but I can’t seem to get the next number. Can anyone help?

Im on Acellus and I have to combine like terms. I already got 12x but I cant seem to get the next number.

Answers

Answer:

-9

Step-by-step explanation:

9x - 4 + 3x - 5 = 9x + 3x + (-4) + (-5)

12x + (-9)

Find the distance between each pair of points.
1. 1-4.6) and (3.-7)
2. (-6,-5) and (2.0)
M=(-12,-1)
M=
4. (0.-8) and (3.2)
3. (-1, 4) and (1-1)

Answers

The distances between each pair of points are as follows:

1. (1, -4.6) and (3, -7): 3.12 (rounded to two decimal places)

2. (-6, -5) and (2, 0): √89 (exact value)

M = (-12, -1) and M = (4, 0): √257 (exact value)

4. (0, -8) and (3, 2): √109 (exact value)

3. (-1, 4) and (1, -1): √29 (exact value)

We may use the distance formula to calculate the separation between each pair of points:

d = √((x₂ - x₁)² + (y₂ - y₁)²),

where the two points' coordinates are represented by (x1, y1) and (x2, y2), respectively.

Let's determine the separation between each pair of points:

1. (1, -4.6) and (3, -7):

d = √((3 - 1)² + (-7 - (-4.6))²)

= √(2² + (-2.4)²)

= √(4 + 5.76)

= √9.76

= 3.12 (rounded to two decimal places)

2. (-6, -5) and (2, 0):

d = √((2 - (-6))² + (0 - (-5))²)

= √(8² + 5²)

= √(64 + 25)

= √89 (exact value)

M = (-12, -1) and M = (4, 0):

d = √((4 - (-12))² + (0 - (-1))²)

= √(16² + 1²)

= √(256 + 1)

= √257 (exact value)

4. (0, -8) and (3, 2):

d = √((3 - 0)² + (2 - (-8))²)

= √(3² + 10²)

= √(9 + 100)

= √109 (exact value)

3. (-1, 4) and (1, -1):

d = √((1 - (-1))² + (-1 - 4)²)

= √(2² + (-5)²)

= √(4 + 25)

= √29 (exact value)

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Simplify each expression. Use positive exponents.
(a / b)⁴

Answers

Answer:

\(\frac{a^4}{b^4}\)

Step-by-step explanation:

\(\left(\frac{a}{b}\right)^4\\\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}(Exclude~parentheses)\\\frac{a^4}{b^4}\)

PLEASE HELP I'VE BEEN TRYING TO FIGURE THIS OUT FOREVER Select the correct answer What is the slope of the line that goes through the points (1. 5) and (4.17 OA OB. - oc OD 2​

PLEASE HELP I'VE BEEN TRYING TO FIGURE THIS OUT FOREVER Select the correct answer What is the slope of

Answers

Answer:

D

Step-by-step explanation:

1.) -12/6 is a natural, whole, integer, rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

It should be Rational if I remembers

From the galvanic series, cite three metals or alloys that may be used to galvanically protect 304 stainless steel in the active state.

Answers

Three metals or alloys that may be used to galvanically protect 304 stainless steel in the active state are aluminum, zinc, and magnesium.

The galvanic series is a list of metals and alloys arranged in order of their tendency to corrode in a specific environment. In the case of galvanic protection, metals that are more anodic (higher in the galvanic series) than the material to be protected are chosen. These anodic metals sacrificially corrode to protect the base material.

304 stainless steel is a commonly used alloy that can exhibit active corrosion behavior under certain conditions. To provide galvanic protection to 304 stainless steel in its active state, metals or alloys that are more anodic and prone to corrosion than stainless steel are selected.

Three such metals or alloys that can be used for galvanic protection of 304 stainless steel in the active state are aluminum, zinc, and magnesium. These metals are higher in the galvanic series than stainless steel and will corrode preferentially.

By connecting these metals to the stainless steel through a conductive path, they form a galvanic couple, where the more anodic metal corrodes sacrificially, protecting the stainless steel from corrosion.

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A. Write the ratio and express in simplest or lowest terms.
1. 8 hours to 10 hours
2. 40 minutes to 1 hour
3. 25 centavos to a peso
4. 2 dozens to 18 things
5. 64 km to 2 hours​

Answers

Step-by-step explanation:

a 8:10

= 8/10

= 4/5

b. 1 hr = 60 min

= 40: 60

= 40/60

= 2/3

d 1 dozen = 12 things

2 dozen = 24 things

= 24: 18

= 12/18

= 2/3

Diameter = 28 cm.
H = 25 cm.

Answers

what’s the question?

Determine a definite integral that represents the arc length of r = 4 cos(theta), 0 ≤ 0 ≤ π/2 Be sure to show steps of work on your paper for setting up and simplifying the integral. You do NOT need to evaluate the integral.

Answers

The definite integral that represents the arc length of the polar curve r = 4cos(theta) over the interval 0 ≤ theta ≤ π/2 is ∫(0 to π/2) 4 dθ.

To determine the definite integral that represents the arc length of the polar curve r = 4cos(theta) over the interval 0 ≤ theta ≤ π/2, we can use the arc length formula for polar curves:

L = ∫(a to b) √(r^2 + (dr/dθ)^2) dθ

In this case, the interval is from 0 to π/2.

Let's start by finding the derivative dr/dθ:

dr/dθ = -4sin(theta)

Now, substitute the values into the arc length formula:

L = ∫(0 to π/2) √(r^2 + (dr/dθ)^2) dθ

= ∫(0 to π/2) √(4cos^2(theta) + (-4sin(theta))^2) dθ

= ∫(0 to π/2) √(16cos^2(theta) + 16sin^2(theta)) dθ

= ∫(0 to π/2) √(16(cos^2(theta) + sin^2(theta))) dθ

= ∫(0 to π/2) √(16) dθ

= ∫(0 to π/2) 4 dθ

Simplifying the integral, we have:

L = 4 ∫(0 to π/2) dθ

Therefore, the definite integral that represents the arc length of the polar curve r = 4cos(theta) over the interval 0 ≤ theta ≤ π/2 is ∫(0 to π/2) 4 dθ.

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how to make students understand 3. students may have a hard time understanding that a whole number can be portioned into parts A tanker truck fills the gas stations reservoir at the rate of 1212 gallons per minute.If the reservoir was empty and it is now 35 gallons full, how long has the tanker been filling the reservoir?Round your answer to the nearest tenth. Enter your answer in the box. how meny minutes Can anyone help me please I mark you Brainliest geraldine is a professor at a local college who serves on the board of directors for a leading academic publisher. she is a valued member of the board because she brings her unique perspective from the field, and she is qualified, knowledgeable, and independent of the company. geraldine is a(n) A ________ transaction in the foreign exchange market requires delivery of foreign exchange at some future date. Two balloons have equal and opposite charges. Balloon one has N = 107 excess electrons. The balloons are separated by d = 1.4 m and each electron has a negative charge of e = 1.602 10-19 C. What is the charge on balloon two, Q2, in C? SOLVE EACH Equation by completing the square1) p2 + 8p - 33 - 0 What is the least file and folder permission necessary to open and run an application? group of answer choices a. list folder contents b. read c. read & execute d. full control Which medical condition places a client at high risk for developing acute lung injury (ALI)/acute respiratory distress syndrome (ARDS)? (select all that apply)PneumoniaBurnsChemotherapyHepatitisSepsis the carnot cycle attempts to model the most efficient possible process by avoiding what? adiabatic processes isothermal processes irreversible processes reversible processes click here to check your answer 10 pts.100% 25% try penalty 1. For any integer x, x-x will always produce an even value. True or false? Please answer this asap The assets and liabilities of a salesperson are listed below.Home Value $418,200Retirement Portfolio $781,056Credit Card Balances $37,879Bank Loan $14,715Mortgage $54,885Car Value $46,450Investments $350,621Home Furnishings $107,480What is the value of the liquid assets? $1,131,677 $350,612 $768,821 $781,056 A baseball of mass 0.3 kg and a tennis ball of mass 0.5 kg possess equal momentum. What is the velocity of tennis ball if the baseball is moving at 21 ms ? Definition of JIT and Lean Manufacturing and contrast thesimilarities and differences between the two. Which of the following countries was not part of the empire system in the past?options:GreeceChinaByzantiumRomeCuba A food company recently made headlines for releasing a beauty mask that strongly resembles what lunch meat?. In the right triangular prism below, BG Perpendicular FCA right triangular prism is shown. Triangles A E D and B F G are the base triangles. A perpendicular bisector is drawn from point B to point G on side F C.The volume of the prism is 900 cubic centimeters. The height of the prism is 15 centimeters and the height of the triangular base is 10 centimeters. What is the length of edge FC? cm Therapies that treat the patient as a whole person after assessing the individuals's physical, social, mental, and spiritual well being are known as if a bond is quoted in the newspaper at 77.0, what is its price? (round your answer to 2 decimal places.)