The limit of (x,y) as it approaches (0,0) for the expression x^2y/(x^2+9y^2) is 0. To understand why the limit is 0, let's examine the expression and its behavior as (x,y) approaches (0,0).
Notice that as both x and y approach 0, the denominator x^2+9y^2 also approaches 0. However, the numerator x^2y remains finite since it depends on both x and y.
In this case, we can apply the concept of L'Hôpital's rule, which allows us to evaluate limits involving indeterminate forms such as 0/0. By taking the partial derivatives of the numerator and denominator with respect to x and y, we find that the limit of the expression simplifies to 0. This means that as (x,y) gets arbitrarily close to (0,0), the value of x^2y/(x^2+9y^2) approaches 0. Therefore, the limit of the expression as (x,y) approaches (0,0) is 0.
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5 girls decide to only spend $40 between them. on average, how much money can each girl spend? Write an inequality. Each sister has 10 dollars
40 = 5X
X = 10 dollars
Now divide 40/5 = 8
On average, each girl spends $8 dollars
Now write an inequality ,for this situation
5X ≤ 40
(a + b + c + d + e)/5 = 40
Please help!!! will mark brainliest!! Ming throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after Ming threw it, is modeled by: h(x)= -5*(x-1)^2+45 What is the maximum height that the stone will reach?
Answer:
45 feet.
Step-by-step explanation:
h(x) = -5(x - 1)^2 + 45
The maximum height occurs when the time x is such that -5(x - 1)^2 is a maximum which is 0. This occurs when x = 1. when x = 1.
So the answer is 45 feet.
Answer:
45 meters
Step-by-step explanation:
the other guys said feet lol XD anyway have a great day bye :D
Find the missing side of the triangle
ΔABC - ΔΑUT
2
>B
54
14
9
126
84
8
What is the missing side?
Answer:
2
Step-by-step explanation:
2
write the equation of the parabola that has its x-intercepts at (-2 - 2,0) and (-2 2, 0) and passes through the point (-1, 1).
The equation of the parabola is y = -1/3 (\(x^2\)+4x).
What is parabola ?
A bowl-shaped object forms a curve when the surface of the cone intersects a plane perpendicular to a straight line. Another curve is created when the moving point is moved such that the distance from the fixed point is equal to the distance from the fixed line. A parabola is a U-shaped curve representing the graph of a quadratic function. Graph of the equation y=x2,
Here the equation of the parabola is
=> y= a\(x^2\)+bx+c.
Now pt given points to find value of a, b, c .
=> y = a(x-p)(x-q)
=> y = a(x+2-2)(x+2+2)
=> y = a(x)(x+4)
Here the line passes through the point ,
(x,y) = (-1,1)
=> 1 = a(-1)(-1+4)
=> 1 = a (-3)
=> a = -1/3.
Now the equation is ,
y = a (x)(x+4)
=> y = -1/3 (\(x^2\)+4x)
Therefore the equation of the parabola is y = -1/3 (\(x^2\)+4x).
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PLS HELP ME!! Jackie has a square wall that she covered using 130.5 square feet of fabric without any overlap. Which measurement is closest to the side length of this wall? A.11 B.26 C.32 D.65
Answer: 32
Step-by-step explanation:
A square has four equal sides.
From the question, we are informed that Jackie has a square wall that she covered using 130.5 square feet of fabric without any overlap. This simply means that the perimeter is 130.5.
Since perimeter of a square is given as 4s where s denotes the side, the side length of the wall will be:
4s = 130.5
s = 130.5/4
s = 32.625
The measurement closest to the answer is 32.
The distance traveled by car is 2 ⅜ miles. Write this mileage as a decimal.
Answer:
2.375
Step-by-step explanation:
Answer:
2.375
Step-by-step explanation:
2 3/8= 19/3 = 2/375
PQRS is parallelogram. If PS = 15, then QR =
Answer:
QR = 15
Step-by-step explanation:
Opposite sides of parallelograms are congruent. This means that their lengths are the same.
Hence,
PS = 15 = QR.
Mrs Mabaspacked , prudence's mom packed a cooler box bag for the day of the painting . Two six pack cans fit exactly on top of each other in the cooler bag. A can has a diameter of 6 cm and a height of 8,84 cm 0:41 EZ07/67/90 dy the information given in the information above and answer the questions that follow. 2.1 2.2 2.3 2.4 Calculate the volume in ml of one can of cold drink, rounded to the nearest whole number. Determine the height of the cooler bag, rounded to the nearest whole number. Determine the volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm. Each can have a label on them as shown by the image below Piesse Circumference of the can NEW Diet, Soda 0 Calories! Calculate the length of the lable. CALORIES PER SERVING Nutrition Fac Hight of the can (3) (2) (3) (2) 27 [10]
2.1 The volume in ml of one can of cold drink is 83 ml.
2.2 The height of the cooler bag is 18 cm.
2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.
2.4 The circumference of the can is 18.84 cm.
How to calculate the volume of a cylindrical can?In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height or length of a cylinder.r represents the radius of a cylinder.By substituting the given side lengths into the volume of a cylinder formula, we have the following;
Volume of can = 3.14 × (6/2)² × 8.84
Volume of can = 83.27 cm³.
Note: 1 cm³ = 1 ml
Volume of can in ml = 83.27 ≈ 83 ml.
Part 2.2.
For the height of the cooler bag, we have:
Height of cooler bag = 2 × height of can
Height of cooler bag = 2 × 8.84
Height of cooler bag = 17.68 ≈ 18 cm.
Part 2.3
Volume of cooler bag = length × breadth × height
Volume of cooler bag = 18 × 12 × 18
Volume of cooler bag = 3,888 ml.
Part 2.4
The circumference of the can is given by:
Circumference of circle = 2πr
Circumference of can = 2 × 3.14 × 3
Circumference of can = 18.84 cm.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (1, negative 6), (5, negative 6), (6, negative 2), and (0, negative 2). Polygon A double-prime B double-prime C double-prime D double-prime has points (1.5, 4), (3.5, 4), (4, 2), and (1, 2). What steps would you take to determine if these figures are similar? Check all that apply. Use a scale factor of 2. Multiply the vertices of polygon ABCD by One-half. Translate the intermediate image 4 units down. Perform two different dilations. Reflect the intermediate image.
Answer:
B and E
Step-by-step explanation:
edge 2021 (??)
What steps would you take to determine if these figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by One-half.
Translate the intermediate image 4 units down. - CORRECT
Perform two different dilations.
Reflect the intermediate image. - CORRECT
write an equation in slope-intercept form for this line.
Answer:
y = - 8x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 8, then
y = - 8x + c ← is the partial equation
To find c substitute (- 1, 4 ) into the partial equation
4 = 8 + c ⇒ c = 4 - 8 = - 4
y = - 8x - 4 ← equation of line
mo played 30 games of chess he won 18 of these games what fraction of the games did he win give your answer in its simplest form
Answer:
18/30
Step-by-step explanation:
out of 10 teenagers surveyed say they are not using smartphones to help them complete hw assignments. assuming this survey is fairly accurate, how many students in a class of 25 would you expect to be using smartphones to complete hw?
Using the concept of probability, we can infer that 15 students in a class of 25 are expected to be using smartphones to complete hw.
What is Probability?The ratio of favorable outcomes to all possible outcomes of an event is known as the probability. The number of favorable results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(E) = Number of favorable outcomes/Total outcomes .
Given that, 4 out of 10 teenagers are not using smartphones for H.W.
To find out the number of students using smartphones in a class of 25 students:
4/10 = n/25
n = (4 × 25)/10
n = 100/10
n = 10
10 students will not be using smartphones.
Number of students who are using smartphone = 25-10
Number of students who are using smartphone = 15
Therefore, 15 students in a class of 25 are expected to be using smartphones to complete hw.
The complete question is "4 out of 10 teenagers surveyed say they are not using smartphones to help them complete hw assignments. assuming this survey is fairly accurate, how many students in a class of 25 would you expect to be using smartphones to complete hw?"
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help I'm doing an assignment and im stuck
Answer your answer is correct it is 9
Step-by-step explanation:
Answer:your correct! btw heyy
Step-by-step explanation:
if you are looking to expand your company's presence online internationally, which of the following should you consider with regards to your online content?
You should consider option B - Translated but also locally adapted for the audience, with regard to your online content.
Any content that exists as digital data is considered online content. Otherwise called advanced media, computerized content is put away in computerized or simple capacity in unambiguous configurations.
A company's website should become more international in terms of content and supported languages if it wants to expand globally.
The content of a website must not only be translated into the language of the audience or user in that country but also adapted to fit the cultural and linguistic characteristics of that language, both of which are essential for expanding a website's or company's presence online internationally.
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(complete question)
If you are looking to expand your company's presence online internationally, which of the following should you consider with regards to your online content?
A . Translated by an automated tool only
B Translated but also locally adapted for the audience
C Translated into the native language
D Left the same, and not translated
A bag contains 3 red marbles and 4 blue marbles. A marble is taken at random from the bag and replaced. Another marble is taken from the bag.
Work out the probability that the two marbles taken from the bag are the same colour.
Give your answer as a fraction.
Answer:
25/49
Step-by-step explanation:
probability of red and red is (3/7)(3/7) = 9/49
Probability of blue and blue is (4/7)(4/7) = 16/49
Probability of same color = prob. of red and red or prob. of blue and blue
= 9/49 + 16/49
= 25/49
Is the expression −9×(−9)−9 equivalent to [−9×(−9)]−9? Explain.
Using BODMAS we can conclude, Yes, both will give same result.
The rule used to solve mathematical expressions is known as the BODMAS rule. The order of operations for mathematical formulas requiring several operations is known as BODMAS. B. Brackets, O. Order of powers, D. Division, M. Multiplication, A. Addition, and S. Subtraction make up the acronym.
−9×(−9)−9
⇒ - 9 × 81
⇒ -729
⇒ [−9×(−9)]−9
⇒ [81] -9
⇒ -729
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The answer has to be a fraction, number 10!!! Urgent!!!
Answer:
x = 0
Step-by-step explanation:
Calculate the product
Any expression multiplied by 0 equales 0
Solution
X = 0
Hope this helps!
Which set represents a Pythagorean triple?
A: 27, 38, 42
B: 33, 44, 55
C: 35, 38. 42
D: 68. 72.81
Answer:
Step-by-step explanation:
B
The set that represents a Pythagorean triple is B: 33, 44, 55
What is a Pythagorean triple ?A Pythagorean triple consists of three positive integers such that the square of the larger one of them is equal to the sum of the squares of the other two .
Let (a, b, c) represents a Pythagorean triple where a, b, c are positive integer and a is the larger one then a² = b² + c²
For A: 27 ,38, 42
Let a = 42 , b= 38 ,c= 27
⇒a² = 42² = 1764
and b² + c² = 38² + 27² = 1444 + 729 = 2173
∴a² ≠ b² + c²
Thus , A: 27 ,38, 42 is not a Pythagorean triple
For B: 33 ,44, 55
Let a = 55 , b= 33 ,c= 44
⇒a² = 55² = 3025
and b² + c² = 33² + 44² = 1089 + 1936 = 3025
∴a² = b² + c²
Thus , B: 33 ,44, 55 is a Pythagorean triple
For C: 35 ,38, 42
Let a = 42 , b= 35 , c= 38
⇒a² = 42² = 1764
and b² + c² = 35² + 38² = 1225 + 1444 = 2669
∴a² ≠ b² + c²
Thus , C: 35 ,38, 42 is not a Pythagorean triple
For D: 68 ,72, 81
Let a = 81 , b= 68 , c= 72
⇒a² = 81² = 6561
and b² + c² = 68² + 72² = 4624 + 5184 = 9808
∴a² ≠ b² + c²
Thus , D: 68 ,72, 81 is not a Pythagorean triple
Therefore, Only set B: 33, 44, 55 represents a Pythagorean triple.
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3 to the 2nd power over
3 to the 6th power, can anybody explain the answer in simplified form???
G
Find the measure of ZMDH.
P
2y + 130
3y + 127
D
M
H
By the concept of vertically opposite angles, m∠MDH = 44°.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
We know, Pair of vertically opposite angles are equal.
Therefore, 2y + 130 = 3y + 127.
y = 3.
So, 2y + 130 = 136°
Again, ∠PDG = ∠MDH.
Now, 2∠PDG = 360° - 2(136°)
2∠PDG = 360° - 272°.
∠PDG = 44° = ∠MDH.
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How many numbers between 1 and 200 are divisible by 4 or 6?
Between 1 and 200, there are 66 numbers that are divisible by either 4 or 6.
To find the numbers between 1 and 200 that are divisible by 4 or 6, we need to determine the count of numbers divisible by 4 and the count of numbers divisible by 6, and then subtract the count of numbers divisible by both 4 and 6 (since they would be counted twice).
Divisibility by 4:
To find the count of numbers divisible by 4, we divide 200 by 4 and round down to the nearest whole number. So, 200 divided by 4 equals 50, meaning there are 50 numbers divisible by 4 between 1 and 200.
Divisibility by 6:
Similarly, to find the count of numbers divisible by 6, we divide 200 by 6 and round down. 200 divided by 6 equals approximately 33.33, so there are 33 numbers divisible by 6 between 1 and 200.
Numbers divisible by both 4 and 6:
To find the count of numbers divisible by both 4 and 6, we need to find the count of numbers divisible by their least common multiple, which is 12. We divide 200 by 12 and round down, resulting in approximately 16.67. Thus, there are 16 numbers divisible by both 4 and 6 between 1 and 200.
Finally, we add the count of numbers divisible by 4 and the count of numbers divisible by 6 and subtract the count of numbers divisible by both 4 and 6 to get the total count of numbers divisible by either 4 or 6. Therefore, there are 50 + 33 - 16 = 67 numbers between 1 and 200 that are divisible by either 4 or 6.
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the password for a school's grading system is a 4-digit code. if the password is composed of digits one through nine, what is the probability that the password is composed of a one, a two, a three, and a four?
The total number of permutations of the four digits is 4 x 3 x 2 x 1 = 24.
To calculate the probability that the password for the school's grading system is composed of a one, a two, a three, and a four, we need to use the formula for permutations. A permutation is the number of ways that objects can be arranged in a specific order. In this case, we want to know the number of permutations of the four digits that make up the password.
There are nine possible digits to choose from, but we need to choose four specific digits: one, two, three, and four. The first digit can be any of the four digits we need, so there are four choices. The second digit can be any of the remaining three digits, so there are three choices. The third digit can be any of the remaining two digits, and the fourth digit must be the remaining digit.
Therefore, the total number of permutations of the four digits is 4 x 3 x 2 x 1 = 24. However, this is only the numerator of the probability fraction. The denominator is the total number of possible 4-digit passwords, which is 9 x 8 x 7 x 6 = 4,536.
So the probability that the password for the school's grading system is composed of a one, a two, a three, and a four is 24/4,536, which simplifies to 1/189. This means that there is a very small chance of the password being composed of these specific digits.
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in the extensive-form game that follows, how many strategies does player 2 have? c 2 f 2 g 8, 0 0, 2
If we consider all possible mixed strategies for player 2, then the number of strategies that player 2 has is infinite.
In the extensive-form game provided, player 2 has two decision points where they can choose between two actions, C and F in the first decision point and G and not-G in the second decision point. Therefore, player 2 has 2 x 2 = 4 pure strategies.
However, player 2 can also mix their strategies in each decision point, choosing a probability distribution over the available actions. For example, in the first decision point, player 2 can play a mixed strategy where they choose C with some probability and F with the complementary probability. Similarly, in the second decision point, player 2 can mix their strategies by choosing to play G with some probability and not-G with the complementary probability.
So, if we consider all possible mixed strategies for player 2, then the number of strategies that player 2 has is infinite.
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In the extensive-form game that follows, how many strategies does player 2 have?
( you will get brainlist and 100 points and a 5.0 and thanks if you do this!!)
Step 2. Identify three (3) regions of the world. Think about what these regions have in common.
Step 3. Conduct internet research to identify commonalities (things that are alike) about the three (3) regions that you chose for this assignment. You should include at least five (5) commonalities. Write a report about your findings.
Report on Commonalities Among Three Chosen Regions
For this assignment, three regions of the world have been selected to identify commonalities among them. The chosen regions are North America, Europe, and East Asia. Through internet research, several commonalities have been identified that are shared among these regions. Below are five commonalities found:
Economic Development:
All three regions, North America, Europe, and East Asia, are characterized by significant economic development. They are home to some of the world's largest economies, such as the United States, Germany, China, and Japan. These regions exhibit high levels of industrialization, technological advancement, and trade activities. Their economies contribute significantly to global GDP and are major players in international commerce.
Technological Advancement:
Another commonality among these regions is their emphasis on technological advancement. They are known for their innovation, research and development, and technological infrastructure. Companies and industries in these regions are at the forefront of technological advancements in fields such as information technology, automotive manufacturing, aerospace, pharmaceuticals, and more.
Cultural Diversity:
North America, Europe, and East Asia are culturally diverse regions, with a rich tapestry of different ethnicities, languages, and traditions. Immigration and historical influences have contributed to the diversity seen in these regions. Each region has a unique blend of cultural practices, cuisines, art, music, and literature. This diversity creates vibrant multicultural societies and fosters an environment of cultural exchange and appreciation.
Democratic Governance:
A commonality shared among these regions is the prevalence of democratic governance systems. Many countries within these regions have democratic political systems, where citizens have the right to participate in the political process, elect representatives, and enjoy individual freedoms and rights. The principles of democracy, rule of law, and respect for human rights are important pillars in these regions.
Education and Research Excellence:
North America, Europe, and East Asia are known for their strong education systems and institutions of higher learning. These regions are home to prestigious universities, research centers, and educational initiatives that promote academic excellence. They attract students and scholars from around the world, offering a wide range of educational opportunities and contributing to advancements in various fields of study.
In conclusion, the regions of North America, Europe, and East Asia share several commonalities. These include economic development, technological advancement, cultural diversity, democratic governance, and education and research excellence. Despite their geographical and historical differences, these regions exhibit similar traits that contribute to their global significance and influence.
Answer:
For this assignment, three regions of the world have been selected to identify commonalities among them. The chosen regions are North America, Europe, and East Asia. Through internet research, several commonalities have been identified that are shared among these regions. Below are five commonalities found:
Economic Development:
All three regions, North America, Europe, and East Asia, are characterized by significant economic development. They are home to some of the world's largest economies, such as the United States, Germany, China, and Japan. These regions exhibit high levels of industrialization, technological advancement, and trade activities. Their economies contribute significantly to global GDP and are major players in international commerce.
Technological Advancement:
Another commonality among these regions is their emphasis on technological advancement. They are known for their innovation, research and development, and technological infrastructure. Companies and industries in these regions are at the forefront of technological advancements in fields such as information technology, automotive manufacturing, aerospace, pharmaceuticals, and more.
Cultural Diversity:
North America, Europe, and East Asia are culturally diverse regions, with a rich tapestry of different ethnicities, languages, and traditions. Immigration and historical influences have contributed to the diversity seen in these regions. Each region has a unique blend of cultural practices, cuisines, art, music, and literature. This diversity creates vibrant multicultural societies and fosters an environment of cultural exchange and appreciation.
Democratic Governance:
A commonality shared among these regions is the prevalence of democratic governance systems. Many countries within these regions have democratic political systems, where citizens have the right to participate in the political process, elect representatives, and enjoy individual freedoms and rights. The principles of democracy, rule of law, and respect for human rights are important pillars in these regions.
Education and Research Excellence:
North America, Europe, and East Asia are known for their strong education systems and institutions of higher learning. These regions are home to prestigious universities, research centers, and educational initiatives that promote academic excellence. They attract students and scholars from around the world, offering a wide range of educational opportunities and contributing to advancements in various fields of study.
In conclusion, the regions of North America, Europe, and East Asia share several commonalities. These include economic development, technological advancement, cultural diversity, democratic governance, and education and research excellence. Despite their geographical and historical differences, these regions exhibit similar traits that contribute to their global significance and influence.
On a map of a town, 3 cm represents 150 m.
Two points in the town are 1 km apart.
How far apart are the two points on the map?
Answer:
20cm
Step-by-step explanation:
We know that on the map, 3 cm represents 150 m.
To find how far apart two points are on the map when they are 1 km (1000 m) apart in reality, we can set up a proportion using the given scale:
(3 cm) / (150 m) = (x cm) / (1000 m)
We can cross-multiply and solve for x:
3 cm * 1000 m = 150 m * x cm
3000 cm * m = 150 m * x cm
The unit "m" cancels out, leaving us with:
3000 cm = 150 * x cm
Divide both sides by 150 cm:
3000 cm / 150 cm = x
20 = x
Therefore, the two points are 20 cm apart on the map.
The area of a square plot is 100 sq m. The cost of fencing around the plot at rupees.15 per meter pls pls pls pls pls answer it step by step it would be a great pleasure!!
Answer: cost of fencing = 15 x 40 = 600 rupees
Step-by-step explanation:
To find the cost of fencing around the plot, we have to calculate the PERIMETER (p).
Area = 100 sq. m.
Side = √100 = 10 m
Perimeter = 4s = 4 x 10 = 40 m
find the 29th term "-24,-16,-8,0,8"
Answer:
29th=200
Step-by-step explanation:
difference = +8
nth term = 8n-32
At what point should an open circle be drawn?
The point that should an open circle be drawn exists (0, 0).
What is meant by function ?A formula, rule, or regulation that establishes the link between the independent variable and the dependent variable (the dependent variable). As a set of inputs with one output for each, a function is defined as a relationship between them. A function, expressed simply, is an association between inputs where each input is connected to one and only one output. Generally speaking, there are four different types of functions. based on element One to One Function, Many to One Function, Into Function, One to One and Into Function.The first equation in the system is f(x) = -x, for x < 0.
This means when x=0, f(x) = f(0) = 0.
Since we have the inequality x<0, this means at the point (0, 0),
the point will be open and not filled in.
Therefore, the correct answer is option b) (0, 0).
The complete question is:
The function f(x) is to be graphed on a coordinate plane
At what point should an open circle be drawn?
a) (–1, 0)
b) (0, 0)
c) (0, 1)
d) (1, 0)
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Pedro adds 1. 25 moles of helium to a balloon that already contained 4. 51 moles of helium creating a balloon with a volume of 8. 97 liters. What was the volume of the balloon before the addition of the extra gas?
The volume of the balloon before the addition of the extra gas was 7.01 liters.
What was the volume of the balloon before the addition of the extra gas?We will use ideal gas law equation, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant and T is the temperature.
Given data:
Initial number of moles of helium in the balloon (before addition) = 4.51 moles
Additional number of moles of helium added = 1.25 moles
The total number of moles of helium in the balloon (after addition) is:
= 4.51 moles + 1.25 moles
= 5.76 moles
Volume of the balloon after addition = 8.97 liters
To find the volume of the balloon before the addition, we can rearrange the ideal gas law equation to solve for V:
V = (nRT)/P
The volume before the addition will be found using: V_initial = (n_initial * V_final) / n_final
V_initial = (4.51 * 8.97) / 5.76
V_initial = 7.02 liters.
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Find the value of x.
x
x = [?]
Enter
Answer:
x = 14
Step-by-step explanation:
From the given figuer...
x = 7 + 7x = 14Therefore, the value of x is 14.
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