x-2y<-6 what does y equal?

Answers

Answer 1

Answer:

[tex]y > 3+\frac{x}{2}[/tex]

Hope this helps!

Answer 2

Answer: x<2y-6

Step-by-step explanation:

x-2y<-6

=(x-2y)+6<-6+6

=x-2y+6<0

=(x-2y+6)+(2y-6)<2y-6

=x-2y+6+2y-6<2y-6

=x-2y+2y+6-6<2y-6

=x<2y-6


Related Questions

Let
f(x)=12−x
f^-1(x)=

Answers

The inverse for f(x) = 12 - x is f^-1(x) = -x + 12

Define Inverse Function

An inverse function or an anti function is defined as a function, which can reverse into another function.

The given equation is ,

f(x) = 12 - x

We can also write like this,

y = 12 - x

Now, for the inverse just swap x and y like this

x = 12 - y

x - 12 = - y

y = -x + 12

Now, we know

y = f^-1(x) = -x + 12

Hence, f^-1(x) = -x + 12

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what is the value of tan a?

Answers

The value of tanA is always less than 1.

What is a number's tan of?

Tangent is the ratio of the side opposite the angle we know or want to know over the side next to that angle, and is sometimes abbreviated as T-A-N.

Describe tan angle A.

The trigonometric ratio between the opposite and adjacent sides of a right triangle that contains an angle is its tangent.

                     Tangent is the mathematical term for the length of the leg that faces the angle and is often abbreviated as "tan." For instance, in the triangle above, tan(A) = 68 or 34 and tan(B) = 86 or 43.

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Elizabeth rents a home for $1,200 a month. The security deposit she paid is one months' rent. Renters insurance will cost $120 for the year. Elizabeth expects utilities to average $164 a month. What will be the total cost of renting the home for the first year (prior to any refund of her security deposit)? PLEASE SHOW WORK

Answers

Answer:

$17,688.00

Step-by-step explanation:

(1200 x 13) + 120 + (164 x 12)

17688

Two students are looking at their phones while walking in the hallway. This results in them colliding head on with one another. The first student has a mass of 62 kg and is moving to the right at 3.80 m/s while the second student has a mass of 67 kg and is moving to the left at 2.59 m/s. After the collision, student A bounces backwards at 1.17 m/s. Determine the final velocity of student B. (Treat velocity to the right as positive and velocity to the left as negative.)

Answers

The final velocity of student B is -1.05 m/s. This value is negative, indicating that student B is moving to the left after the collision.

What is Velocity?

Velocity is a term that describes the speed and direction of a point's motion.

Conservation of momentum states that the total momentum of a system remains constant unless acted upon by an external force. In this case, the two students can be considered a closed system, since no external forces are acting on them.

Therefore, the total momentum of the system before the collision must be equal to the total momentum of the system after the collision.

We can represent the momentum of each student as a vector, where the magnitude is equal to the mass of the student times their velocity and the direction is the direction in which the student is moving. The total momentum of the system before the collision can be found by adding the individual momenta of the two students:

Momentum before collision = (62 kg * 3.80 m/s) + (67 kg * -2.59 m/s)

= 233.6 kg m/s + (-174.53 kg m/s)

= 59.07 kg m/s

After the collision, student A bounces backwards at 1.17 m/s, while student B moves with an unknown velocity in the opposite direction. We can represent the total momentum of the system after the collision as:

Momentum after collision = (62 kg * -1.17 m/s) + (67 kg * v)

where v is the velocity of student B after the collision. We can set the two expressions for total momentum equal to each other and solve for v:

59.07 kg m/s = (62 kg * -1.17 m/s) + (67 kg * v)

v = (59.07 kg m/s + 62 kg * -1.17 m/s) / 67 kg

= (-70.34 kg m/s) / 67 kg

= -1.05 m/s

Therefore, The final velocity of student B is -1.05 m/s. This value is negative, indicating that student B is moving to the left after the collision.

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What is the diameter of a P210/60R17 tire?

Answers

the diameter of a P210/ 60R17 is 26.9" where width is 8.3" , sidewall 5" overall diameter of the tire is indicated by the first digit.

What is diameter of tire ?

Remembering that the tire diameter is made up of two sidewalls—the one above the wheel and the one below the wheel hitting the ground—and adding the diameter of the wheel, the sidewall height must be multiplied by two to determine the tire's overall diameter.

given ,

size = 210 / 60R17

The overall diameter of the tire is indicated by the first digit. The tire diameter or "height" in this illustration is 210 inches tall. The tire's breadth is shown by the second digit. When using tires with inch measurements, the width will typically contain a.50 decimal after the first digit.

the diameter of a P210/ 60R17 is 26.9" where width is 8.3" , sidewall 5"

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Kusum bought 50 glasses for rs 1500 out of which 4 were broken if she sold the rest of the glasses for rs 35 each how many profit or loss percent did she bear​

Answers

Answer:

7.3%

Step-by-step explanation:

Cost for 50 glasses = ₹1500 -----> Cost Price (C.P)

Cost per glass = 1500/50 = ₹30

Here, 4 glasses break. So, she now has

50-4 = 46 glasses

She sold 46 glasses for ₹35 each,

Money earned = 46x35 = ₹1610 -----> Selling Price (S.P)

Since S.P > C.P,

she made a profit = 1610-1500 = ₹110

Profit% = Profit/Cost Price x 100

= 110/1500 x 100

= 7.3%

AD is the median of triangle ABC . E is the mid – point of AD. BE produced to meet AC at F. DG║BF Show that AC=3AF

Answers

From the various triangle proofs below, we have been able to show that; 3A F = AC

How to prove the median of a triangle?

A median of a triangle is defined as a line segment from a vertex of the triangle to the midpoint of the side opposite that vertex.

We are given that;

AD is the median of ΔABC.

E is the midpoint of AD

Through D, we draw DG parallel to BF

In ΔADG, E is the midpoint of AD and EF is parallel to DG

By using the converse of midpoint theorem, we have;

F is midpoint of AG and A F = FG     ------(eq 1)

Likewise, In ΔBCF ;

D is the midpoint of BC and DG is parallel to BF  

G is midpoint of CF and FG is congruent to GC (FG ≅ GC) .........(eq 2)

From equations 1 and 2, we will get;

A F = FG = GC     -------(3)

Thus;

A F + FG + GC = AC

A F + A F + A F = AC (from eq 3)

3A F = AC

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in the capgemini iot industry 4.0 case, what dimension focuses on the way that smart products are equipped with computing power that enables autonomous decision-making and self-learning processes based on algorithms?

Answers

The capgemini iot industry 4.0 case provide an entire end-to-end transformation, we encourage human-centered design and ground-breaking innovation.

The new era of digitization, known as smart industry, includes industry 4.0 but expands well beyond it. Disruptive technologies and data enable use cases that were not previously possible, such as multi-physics modelling, remote operations, digitization of products and processes, driver less cars, linked products, reinvented consumer experiences, and novel as-a-service business models.

We work with customers to uncover new business model options, address industry obstacles, and navigate complicated ecosystems so they can gain and maintain a competitive edge. Using our expertise in engineering, technology, IT, data, and consulting, we inject intelligence into our operations, products, and services. To provide an entire end-to-end transformation, we encourage human-centered design and ground-breaking innovation.

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The selling price of an item is $720. It is marked down by 30%, but this sale price is still marked up from the cost $420. What is the markup from cost to sale price

Answers

The markup from cost to sale price was originally 245%.

What is the markup?

The markup is the addition put on the cost of an item.

Goods are marked-up to take care of other selling and administrative costs and to achieve an estimated profit.

The cost of the item plus the markup equals the retail selling price.

Selling price = $720

Markdown percentage = 30%

Marked-up selling price before the markdown = $1,029 ($720/0.7)

Markup cost = $420

Markup difference = $609 ($1,029 - $420)

Markup = 245% ($1,029/$420 x 100)

Thus, the item was marked-up by 245% before it was marked down by 30% to $720.

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(Solving Equations Using Square and Cube Roots LC)

Solve y3 = −1.

y = −0.5
y = 0.5
y = −1
y = ±1

Answers

Answer:

Step-by-step explanation:

J Square Roots and Cube Roots To find the square root of a number, you want to find some number that when multiplied by itself gives you the original number. In other words, to find the square root of 25, you want to find the number that when multiplied by itself gives you 25. The square root of 25, then, is 5. The symbol for square root is equation.

35% of 350 is what number?

Answers

Answer: 122.5

Step-by-step explanation:

What is the equation of the line that passes through the point (6,2) and has a slope of 1/3 ?

Answers

The equation of the line passes through the point (6,2) and slope 1/3 is

X=3Y-3

Here the point is (6,2) and the slope is 1/3

Means,

x=6      y=2   and m=1/3

We know that the equation of a line is -

Y=mx+c

Putting these values in the above equation we get

⇒2=1/3×6+c

⇒2=6/3+c

⇒2=2+c

⇒c=1

Therefore we find that the intercept is 1

So after putting all these values in that equation y=mx+c we get

Y=1/3X+1

⇒X/3=Y-1

⇒X=3Y-3

The equation passes through the point (6,2) and the slope is  1/3 is x=3y-3

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How do you use demoivre's theorem to simplify (1−i)^12?

Answers

The correct answer is 64

Demoivre's theorem states that for all complex numbers z and all positive integers n:

z^n = (r^n) × (cos(n∅) + isin(n×∅))

where r is the magnitude of z and theta is the argument of z.

To use Demoivre's theorem to simplify (1−i)^12, we can first write (1−i) in polar form as r × cis(∅). where r is the magnitude and cis(∅) is the size complex number. is 1, the argument ∅. In this case the size of (1−i) is √(1^2 + (-1)^2) = √(2) and the argument of (1−i) can be found using the arctangent function.

∅ = arctan(-1÷1) = -45 degrees.

So (1−i) can be written as sqrt(2) × cis(-45 degrees). Applying this to Demoivre's theorem, we get:

(1−i)^12 = (√(2)^12) × (cos(-540°) + i×sin(-540°))

We can simplify this to:

(1−i)^12 = 2^6 × cis(-180°)

This can be further simplified as follows.

(1−i)^12 = 64 × (-1)

the final answer is -64.

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just these 2 questions

Answers

Answer:

nnnn

Step-by-step explanation:

hh

2. Tino charges $2 for the first mile, plus 50 cents for
each additional mile. Is this a proportional
relationship?

Answers

The given situation for the price according to the distance is not proportional.

Describe the term proportional relationship?Relationships between 2 factors that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, each variable is consistently equal to the other's constant value.

Let the total distance covered by Tino is 'x'.

Let the total price be 'y'.

Then,

y = fixed price + additional price

y = $2 + $0.5x

For x = 1; y = $2.5   ---> x/y = 1/2.5

for x = 1; y = $3   ---> x/y = 2/3

for x = 3; y = $3.5   -----> x/y = 3/3.5

In all situations, ratio x/y is not constant.

Thus, the given situation for the price according to the distance is not proportional.

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How many eighth notes equal a half note?

Answers

Answer:four eighth notes

Step-by-step explanation:

At the school carnival, Mike will play a game in which he will toss a penny, a nickel, and a dime at the same time. He will be awarded 3 points for each coin that lands with heads faceup. Let the random variable x represent the total number of points awarded on any toss of the coins. What is the expected value of x?

Answers

The expected value of x for the awarded 3 points for each coin that lands with heads faceup is 27/8.

How do you determine the likelihood of an event?Assume that there are a finite number of elementary events that are all equally likely to occur in the sample space of the experiment under consideration.Probability (E) = favourable outcome/ total outcome

In this instance, we are informed that:

Three coins were tossed, and the result was three heads.X is the overall point total.X now has a total of 4 possible values: 0, 1, 2, and 3.

The probability of each of them is calculated as:

Situation 1: No heads

That implies that all three coins must land on the tail.

Thus, there is only one method to accomplish this. While the whole range of potential outcomes is;

= 2x 2x 2

= 8

via the product rule (because each coin has two alternative outcomes).

The result is:

P(x =0) = 1/8

Situation 2: One head

Single head means three points, or X = three.

Total outcomes possible = 8,

Single head can occur in 3 different ways, as other two needs to be strictly tails.

Thus,

P(x = 3) = 2/8

Situation 3: Two heads

Two heads equals 3+3 = 6.

X = 6

8 outcomes are possible in total.

Single tail means two heads. Three separate scenarios can lead to a single tail.

Therefore,

P(x = 6) = 2/8

Situation 4: Three heads

Three heads signifies that X = 9 or 3+3+3 = 9 points.

8 outcomes are possible in total.

Three heads means there is only one way to do it and no tail.

Thus,

P(x = 9) = 1/8

As a result, the expectation of X is determined as follows:

E(x) = 0. 1/8 + 3. 2/8 + 6. 2/8 + 9. 1/8

E(x) = 27/8

Therefore, 27/8 is the expected value of X.

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Find the value of the variable BC, if B is between A and C. AB=19, BC = 4y, AC = 8y-1

Answers

The value of the variable BC will be equal to 20.

What is a line segment?

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.


Given that B is between A and C. AB=19, BC = 4y, AC = 8y-1.

Here If B is between the segment AC the value of BC will be calculated as,

BC = AC - AB

Substitute the values in the above equation and solve for the value of y,

4y = 8y - 1 - 19

4y = 8y - 20

8y - 4y = 20

4y = 20

y = 5

The value of segment BC will be.

BC = 4y

BC = 4 x 5

BC = 20

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45 POINTS ANSWER FOR BRAINLIST AND HEARTS

Answers

The graph of the linear function y = 36 - 4x that represents this function is given by the image shown at the end of the answer.

How to graph the linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are listed as follows:

m is the slope, representing by how much y changes when x is increased by one.b is the intercept, representing the value of y when x = 0.

Initially, he has 36 overdue activities, hence the intercept is of:

b = 36.

Each day, he can do 4 activities, hence the number of remaining activities decays by 4, and thus the slope is of:

m = -4.

Thus the function is given as follows:

y = -4x + 36.

The y-intercept is given by the following point:

(0, 36).

The x-intercept is given by the following point:

(9,0).

As:

-4x + 36 = 0

4x = 36

x = 9.

Then a line is traced connecting the intercepts.

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Write the Standard Form of the line with x-intercept of 3 and y-intercept of 4.

Answers

Answer:

Use a model to find the sum of two fractions with the same denominator

Add fractions with a common denominator without a model

Add fractions with a common denominator that contain a variable h

Step-by-step explanation:

h

How do you convert 0.23 (3 repeating) as a fraction?

Answers

[tex] \frac{7}{30} [/tex]

The solution is attached to the answer.

Hope understands

Write a pseudocode algorithm which inputs numeric scores and outputs the average score. The end of the data is signalled by a user input of -1.

Answers

Programming or the process of writing algorithms both involve pseudocode. A technique that aids the programmer in defining an algorithm's implementation is pseudocode.

The algorithms are described using pseudocodes in pseudocode algorithms because it is simpler for everyone to understand the pseudo-codes, regardless of programming experience or familiarity with a different programming language.

do{

input=take input

}

While(input not equal to -1)

{

Store in an array for every input

Like append the new input to an array

}

After loop terminates  

Take the average of the array  

By traversing through all elements of an array and store in a variable  

The sum divided by the length of the array gives the average  

IN C language:

#include<stdio.h>

Int main(){

Int input,i=0,sum,avg,are[1000];

Do{

Scanf(“%d”,&input);

}

While(input !=0)

{

arre[i]=input;

i=i+1;

}

Sum=sum(arre[]);

Avg=sum/len(arre);

Printf(“%d”,Avg);

Return 0;

}

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can someone please help?
does it represent a function
yes or no

Answers

Answer:

No

Step-by-step explanation:

Functions must have only one answer for each x. However, in all the x values in this graph there are two answers.

No since there are 2 answers

Susan made a one-time deposit of $2,500 in an investment account. She earned 4.25% interest for 10 years. How much interest did Susan make after 10 years?

Answers

Susan earned $1062.5 as interest after 10 years.

What is interest?

Interest is the amount to be paid on the borrowed money or the amount received on the money lent.

Given that, Susan made a one-time deposit of $2,500 in an investment account. She earned 4.25% interest for 10 years.

SI = PxRxT/100

P = principal = $2500

R = interest rate = 4.25%

T = time = 10 years

SI = 2500x10x4.25/100

SI = 1062.5

Hence, Susan earned $1062.5 as interest after 10 years.

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a report on the nightly news broadcast stated that 10 out of 105 households with pet dogs were burglarized and 24 out of 212 without pet dogs were burglarized. suppose that this sample data is used to test the claim that there is a difference in the proportion of homes with dogs that are burglarized and the proportion of homes without dogs that are burglarized. find the test statistic for the test. group of answer choices -0.195 -0.828 -0.487 -0.001

Answers

Therefore the solution to this problem is the test statistic for the test  is  -0.487

What is test statistics ?

In statistical hypothesis testing, a test statistic is a statistic that is employed. A hypothesis test is often defined in terms of a test statistic, which is a numerical summary of a data set that can be used to execute the test and reduces the data to one value.

Here,

According to a report on the evening news show, burglaries occurred in 23 out of 197 residences without pets and 10 out of 129 homes with pets.

Let p1 represent the percentage of dog-owning homes who experienced burglaries.

p2 is the population proportion of burglarized homes without canine companions.

Since both population proportions are equal, the null hypothesis (H) is that p1=p2.

A Different Hypothesis, K:p1≠p2 indicates that there is an imbalance between the two population proportions.

The test results that would be utilized in this z-test for proportions with two samples;

                          T.S. = [tex]\frac{(p1^{'} -p2^{'} )-(p1-p2)}{\sqrt{\frac{p1^{'}1-p1^{'}()}{n1} +\frac{p2^{'}(1-p2^{'})}{n2} } }[/tex]~ N(0,1)

where,  p1= sample proportion of households with pet dogs who were burglarized =10/105  = 0.095

p2= sample proportion of households without pet dogs who were burglarized = 24/212 = 0.11

n1= sample of households with pet dogs = 105

n2 = sample of households without pet dogs = 212

So, the test statistics  =  [tex]\frac{(0.0095 -0.11 )-(0)}{\sqrt{\frac{0.095(1-0.095)}{105} +\frac{0.11(1-0.11)}{212} } }[/tex]

                                                                      =  -0.487

Therefore  ,the test statistic for the test is  -0.487

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Which pairs of rectangles are similar polygons? Rectangle A: 100cm & 80cm Rectangle B: 120cm & 100cm Rectangle C: 90cm & 72cm. A and B - similar or not similar? B and C similar or not similar? A and C similar or not similar?

Answers

Answer:

A and C similar

Step-by-step explanation:

A: 80/100 = 0.8

B: 100/120 = 0.833...

C: 72/90 = 0.8

Since the ratio of the lengths of the sides of rectangle A and C are equal, the only similar rectangles are A and C.

Answer: A and C similar

Desde un punto en tierra ubicado a 4m de un poste, se divisa su parte alta con un ángulo de elevación de 37°. ¿Cuál es la altura del poste?

Answers

The height of the pole will be 3m (approx.)

What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

We have the ground located 4 m from a pole, its upper part can be seen with an elevation angle of 37°.

We can write the height of the pole as -

h = 4 tan(37°)

h = 4 x 0.75

h = 3 m (approx.)

Therefore, the height of the pole will be 3m (approx.)

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[Question in english -

From a point on the ground located 4m from a pole, its upper part can be seen with an elevation angle of 37°. What is the height of the pole?]

The simple interest formula is I=Prt, where I is the interest, P is the principal, r is the interest rate, and t is the time.

What is the interest if the principal is $10,000, the interest rate is 2%, and the time is 8 years?

options:

$160
$200
$1600
$16,000

Answers

Answer:

1600$

Step-by-step explanation:

By using the SI formula,

[tex]SI={PXRXT}/{100} \\SI=10000X2X8/100\\SI = 1600$\\\\Hence, the interest is 1600$[/tex]$

Option C) 1600$ is correct

Mark me brainliest

You make two separate investments for a total of $4000. The percent return on Charles Schwab & co. At the end of the year was 5% and the percent return on merill lynch was 7%. The combined return on both funds was $256. How much did you invest in each fund.

Answers

The required funds invested in Charles Schwab & co and Merrill lynch are 1200 and 2800 respectively.

Given that,
Make two separate investments for a total of $4000. The percent return on Charles Schwab & co. At the end of the year was 5% and the percent return on Merill lynch was 7%. The combined return on both funds was $256.

here,
let x be the invested amount on Charles Schwab & co and y be the invested amount on Merrill lynch.
According to the question,
x + y = 4000
x = 4000 - y   - - - - - (1)
And
0.05x +0.07y = 256 - - - - (2)
From equation 1 and 2
x=1200 and y=2800

Thus, the required funds invested in Charles Schwab & co and Merrill lynch are 1200 and 2800 respectively.

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Which of the following transformations is non-rigid? A.translationB.dilationC.reflectionD.rotation

Answers

From the question the transformations that non-rigid is dilation. The correct answer is B.

what is nonrigid transformation?

Any transformation of a geometric object that alters the size but not the shape is referred to as a nonrigid transformation. Examples of non-rigid types of transformation include stretching and dilation. Any action taken on a shape is referred to as a metamorphosis.

Rigid transformation is When a figure undergoes a stiff transformation, its size and shape are left unaltered. Because the image is unchanged, stiff transformations include translations, rotations, and reflections.

As a result, a dilation is a non-rigid transformation because the size of the image is changing.

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What did the League of Nations do for disarmament?; Who were the members of the League of Nations?; Did the League of Nations achieve disarmament?; What were the 3 Weapons of the League of Nations? A powerful motorcycle can produce an acceleration of 4.00 m/s2 while traveling at 90.0 km/h. At that speed the forces resisting motion, including friction and air resistance, total 450 N. (Air resistance is analogous to air friction. It always opposes the motion of an object.) What is the magnitude (in N) of the force the motorcycle exerts backward on the ground to produce its acceleration if the mass of the motorcycle with rider is 250 kg induction can be used to prove the following is true for every nonnegitive integer n NO LINKS!!Find the value of k such that the system of linear equations is inconsistent.4x - 8y = -32x + ky = 10k = _____ Which of the following is not a similarity criterion for two triangles ASA SAS SSS ASA? alesha is looking for her first job as a marketing manager for a retailing company. when a recruiter asks her whether she has the technical skills for the job, what is he referring to? multiple choice question. Air pollutionsoil erosionwater pollutionglobal warming How many theme colors are there in Microsoft office? proceeds from notes payable on january 26, nyree co. borrowed cash from conrad bank by issuing a 45-day note with a face amount of $225,000. assume a 360-day year. a. determine the proceeds of the note, assuming the note carries an interest rate of 8%. $fill in the blank 1 b. determine the proceeds of the note, assuming the note is discounted at 8%. $fill in the blank 2 Which of the following is a Web application that enables Internet users to communicate with each other, although not in real time? O Mobile messaging O Online forum O SMS mess ing O VoIP software refers to the software that enables a computer to deliver Web pages written in HTML to client computers on a network that requests this service by sending an HTTP request. * * O Web browser O Web client O Web application O Web server A device attached to the Internet that is capable of making HTTP requests and displaying HTML pages is referred to as a O web browser During a recessionary period, it is possible the amount of space that is absorbed by the market will actually be negative. True or False yasmin co. can further process product b to produce product c. product b is currently selling for $33 per pound and costs $27 per pound to produce. product c would sell for $56 per pound and would require an additional cost of $23 per pound to produce. the differential cost of producing product c is Dendrites Axon Axon hillock Axolemma Myelin sheath Aven clabral) AxoplasmAxon collateral Cell body Telodendria Axon terminals Search the web and Windows ^ 4 ENG 7/5/2017 What is the distributive property of 25+45 Why is using a graduated cylinder more accurate than using a beaker? what is the number of unit to be produced if the firm desires to make a profit of birr 10000 assuming the fixed cost, available cost per unit and selling price per unit are birr 50000, birr 10 and birr 20 respectively A helium-filled balloon (whose envelope has a mass of mb=0.250kg) is tied to a uniform string of length =2.00m and mass m = 0.0500 kg. The balloon is spherical with a radius of r = 0.400 m. When released in air of temperature 20C and density rhoair=1.20kg/m3, it lifts a length h of string and then remains stationary. We wish to find the length of string lifted by the balloon. (a) When the balloon remains stationary, what is the appropriate analysis model to describe it? (b) Write a force equation for the balloon from this model in terms of the buoyant force B, the weight Fb of the balloon, the weight FHe of the helium, and the weight Fs of the segment of string of length h. (c) Make an appropriate substitution for each of these forces and solve symbolically for the mass ms of the segment of string of length h in terms of mb, r, rhoair , and the density of helium rhoHe, (d) Find the numerical value of the mass ms. (e) Find the length h numerically. which of the following statements is supported by the information in this image and is consistent with your knowledge regarding genomic architecture in prokaryotes and eukaryotes? theory of mind is theory of mind is a principle of conversation described by paul h. grice. the ability to place oneself in the mindset of another person and understand that others may have beliefs, intentions, and emotions that are different from one's own. knowing that another person shares knowledge with you. a theory of cognitive and linguistic processing proposed by noam chomsky. TRUE/FALSE. for a corporation to be held criminally liable for the acts of an employee, the prosecutor must show that the employee was acting within the scope of her or his employment; however, the prosecutor need not demonstrate that the employee was acting with the purpose of benefiting the corporation.