The mass of an uranium atom is 3.95 × 1 0 − 22 3.95×10 t the power of −22 grams. The mass of an oxygen molecule is 5.31 × 1 0 − 23 5.31×10 to the power of −23 grams. How many times greater is the mass of an uranium atom than the mass of an oxygen molecule? Write your answer in standard notation, rounding to the nearest tenth.

The Mass Of An Uranium Atom Is 3.95 1 0 22 3.9510 T The Power Of 22 Grams. The Mass Of An Oxygen Molecule

Answers

Answer 1

Uranium has a mass ratio of 7.43 times greater than the mass of an oxygen molecule, which is rounded to the nearest tenth.

How many times greater is the mass of an uranium atom than the mass of an oxygen molecule?

To find how many times greater the mass of an uranium atom is than the mass of an oxygen molecule, we need to divide the mass of the uranium atom by the mass of the oxygen molecule:

mass of uranium atom = 3.95 × \(10^{-22}\) g

mass of oxygen molecule = 5.31 × \(10^{-23}\) g

mass ratio = (mass of uranium atom) / (mass of oxygen molecule)

mass ratio = (3.95 × \(10^{-22}\) g) / (5.31 × \(10^{-23}\) g)

mass ratio = 7.43

Therefore, the mass of an uranium atom is about 7.43 times greater than the mass of an oxygen molecule. In standard notation and rounding to the nearest tenth, we can write this as:

mass ratio ≈ 7.4 times

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Related Questions

What is the value of x?
A. 60°
B. 155
C. 25°
D. 35°

What is the value of x?A. 60B. 155C. 25D. 35

Answers

Answer:

D. 35°

Step-by-step explanation:

1. The bottom right angle and 95° add up to 180°. Solve for that angle.

95 + y = 180

y = 85

2. Triangles have a total of 180°. Set up the equation.

60 + 85 + x = 180°

3. Simplify

145 + x = 180

4. Solve for x by subtracting 145 from both sides

x = 35°

Answer:

x = 35

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

60+x = 95

Subtract 60 from each side

60 +x-60 = 95-60

x = 35

Solve the equation t=r+7k​w attempted this problem 4 times. all recorded score is 0%. unlimited attempts remaining

Answers

Answer:

Solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles.

If you attempted the problem four times and all recorded scores were 0%, it suggests that your attempts did not yield the correct solution. To solve the equation t = r + 7kw, we need to have specific values or information about the variables involved. Without any additional details, it is not possible to provide a numerical solution.

To improve your chances of solving the equation successfully, consider the following steps:

Review the equation: Make sure you understand the structure and the relationship between the variables. In this case, t is equal to the sum of r and 7 times the product of k and w.

Check for errors: Review your calculations and ensure there are no mistakes in your algebraic manipulations. Double-check your arithmetic operations and signs.

Seek assistance: If you're having difficulty solving the equation, consider reaching out for help. Consult a teacher, tutor, or someone knowledgeable in the subject matter. They can guide you through the problem-solving process and clarify any misunderstandings.

Practice and persistence: Continue practicing similar equations to improve your problem-solving skills. Persistence and practice are key to mastering mathematical concepts.

Remember, solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles. Keep practicing and seeking assistance, and you will improve your problem-solving abilities over time.

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Answer:

Solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles.

If you attempted the problem four times and all recorded scores were 0%, it suggests that your attempts did not yield the correct solution. To solve the equation t = r + 7kw, we need to have specific values or information about the variables involved. Without any additional details, it is not possible to provide a numerical solution.

To improve your chances of solving the equation successfully, consider the following steps:

Review the equation: Make sure you understand the structure and the relationship between the variables. In this case, t is equal to the sum of r and 7 times the product of k and w.

Check for errors: Review your calculations and ensure there are no mistakes in your algebraic manipulations. Double-check your arithmetic operations and signs.

Seek assistance: If you're having difficulty solving the equation, consider reaching out for help. Consult a teacher, tutor, or someone knowledgeable in the subject matter. They can guide you through the problem-solving process and clarify any misunderstandings.

Practice and persistence: Continue practicing similar equations to improve your problem-solving skills. Persistence and practice are key to mastering mathematical concepts.

Remember, solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles. Keep practicing and seeking assistance, and you will improve your problem-solving abilities over time.

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Ok help find the statements and reasons. I am confused and I think I got some things wrong

Ok help find the statements and reasons. I am confused and I think I got some things wrong

Answers

It is given that

\(\angle EDF\cong\angle GHF\)

An angle in geometry is denoted by the angle symbol (∠) followed by three letters which represent points that form the angle. ∠EDF means that E and F are the "tips" of the angle and D is the vertex in the middle, therefore, ∠FDE represents the same angle.

\(\angle EDF=\angle FDE\)

And also

\(\angle GHF=\angle FHG\)

Therefore

\(\angle EDF\cong\angle GHF\Rightarrow\angle FDE\cong\angle FHG\)

2. Ashley needs shorts and t-shirts for PE. If
shorts are $7.00 each and t-shirts are $3.50 each,
which combination can she NOT buy if she has
to spend less than $35.00?
T-shirts

A 2 shorts, 6 t-shirts
B 3 shorts, 2 t-shirts
C 1 shorts, 5 t-shirts
D 4 shorts, 1 t-shirt

Answers

A i think because A is exactly 35 and she needs to spend less than

n a large population, 74% of the households have cable tv. a simple random sample of 100 households is to be contacted and the sample proportion computed. what is the mean and standard deviation of the sampling distribution of the sample proportions?

Answers

0.0439 is the mean and standard deviation of the sampling distribution of the sample proportions .

What is standard deviation in math?

Your dataset's average level of variability is represented by the standard deviation.It reveals the average deviation of each statistic from the mean.A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.

Given that,

p = 0.74

1 - p = 1 - 0.74 = 0.26

n = 100

The mean of the sampling distribution of proportion is ,

 μP =    p = 0.74

The standard deviation of the sampling distribution  is ,  

  σp = σ\sqrtp ( 1 - p ) / n

 σp = σ\sqrt (0.74 * 0.26) / 100 = 0.0439

σp = = 0.0439

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(Chapter 10) If x = f(t) and y = g(t) are twice differentiable, then (d^2y)/(dx^2) =(d^2y/dt^2)/ (d^2x/dt^2)

Answers

The statement is not true in general. The correct formula relating the second differential equations of y with respect to x and t is:

(d²y)/(dx²) = [(d²y)/(dt²)] / [(d²x)/(dt²)]

This formula is known as the Chain Rule for Second Derivatives, and it relates the rate of change of the slope of a curve with respect to x to the rate of change of the slope of the curve with respect to t. However, it is important to note that this formula only holds under certain conditions, such as when x is a function of t that is invertible and has a continuous derivative.

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13-0.75w+8x13−0.75w+8x13, minus, 0, point, 75, w, plus, 8, x when w=12w=12w, equals, 12 and x=\dfrac12x=21​x, equals, start fraction, 1, divided by, 2, end fraction.

Answers

Answer:

  8

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic.

  13 -0.75w +8x

  = 13 -0.75(12) +8(1/2) . . . . . substitute for w and x

  = 13 -9 +4

  = 4 +4

  = 8

due now pls help mee!!!!!!

due now pls help mee!!!!!!

Answers

Answer:

(-2,-4)

Step-by-step explanation:

3x+2=-2x-8

+2x.    +2x

5x+2=-8

   -2. -2

5x=-10

/5.  /5

x= -2

y=3(-2)+2

y=-6+2

y= -4

(-2,-4)

Hopes this helps please mark brainliest

turn 7/8 into a percent​

Answers

Answer:

\(\boxed{87.5\%}\)

Step-by-step explanation:

Convert fraction to a decimal.

\(\frac{7}{8} =0.875\)

Multiply the decimal by 100.

\(0.875 \times 100= 87.5\)

Answer:

87.5%

Step-by-step explanation:

100 divided by 8 = 12.5

We know that one eighth of 100 is 12.5. Now we multiply an eighth by 7 to get seven-eighths (7/8)

12.5 * 7 = 87.5

So 7/8 as a percent is 87.5%

Have a good day :)

Given f(x, y) 4 ln (y2-x). a. State the domain of the function. b. State the range of the function. c. Find fr. d. Find fry

Answers

(a). The domain of the function f(x, y) is all real numbers for both x and y such that y₂-x > 0. (b). The range of the function f(x, y) is all real numbers.  (c). f(r) = 4 ln (r₂ - r). (d) . f(r, y) = 4 ln (y₂ - r).

This means that when both x and y are equal to r, the function becomes 4 ln (r₂ - r). This can be simplified to 4 ln (r₂ - r) = 4 ln r₂ - 4 ln r.

The domain of the function f(r, y) is all real numbers for both r and y such that y₂-r > 0. The range of the function is all real numbers.

To find f(r, y), we first substitute r for both x and y, giving us the expression 4 ln (r₂ - r). This expression can be simplified to 4 ln r₂ - 4 ln r.

Therefore, the domain of the function f(x, y) is all real numbers for both x and y such that y₂-x > 0, and the range of the function is all real numbers. To find f(r, y), we substitute r for both x and y and simplify the expression 4 ln (r₂ - r) to 4 ln r₂ - 4 ln r.

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Which of the following fits with the recursive rule for the dots above?

Group of answer choices

A) f (x) = f ( x - 1 ) x 4 ; f (1) = 4

B) f (t) = 4t + 1

C) f (x) = f ( x - 1 ) + 4 ; f (1) = 4

D) f (x) = 1 x 4(2)

Which of the following fits with the recursive rule for the dots above? Group of answer choicesA) f (x)

Answers

Answer:

A

Step-by-step explanation:

The recursive rule lets us find a term in the sequence from the previous term.

The sequence of dots is

4 , 16, 64

Thus multiplying the previous term by 4 gives the required term, thus

f(x) = f(x - 1) × 4 : f(1) = 4

so

f(2) = f(1) × 4 = 4 × 4 = 16 ← true

f(3) = f(2) × 4 = 16 × 4 = 64 ← true

A is the correct choice

Answer: A

Step-by-step explanation:

find the value of the expression below x=2 3x​

Answers

x=2
So that would mean
3(2)=6
Hope this helps have a good day! :)

Consider the function f x =x 2 − 4x. If x=3 is a value in the domain of the function, then what is the value of f x when x=3?

Answers

Answer:

f(x) = -3

Step-by-step explanation:

\({ \tt{f(x) = {x}^{2} - 4x}}\)

- When x = 3, it implies that f(x) = f(3)

\({ \tt{f(3) = {(3)}^{2} - 4(3) }} \\ { \tt{f(3) = 9 - 12}} \: \: \: \: \: \: \: \\ { \tt{f(3) = - 3}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

- So, the range, f(x) = -3

Answer: correct aswer is -3

Step-by-step explanation:

Numbers written in a scientific notation can be added, ______________, _______________, just like numbers in standard form. ​

Answers

Numbers written in scientific notation can be added, subtracted, multiplied and divided just like numbers in standard form.

Can numbers in scientific notation be calculated?

Scientific notation is a way to write very large or very small numbers using exponents. The format of scientific notation is \(a * 10^n\) where a = number between 1 - 10 and n = integer.

When adding, subtracting, multiplying or dividing numbers in scientific notation, the exponents are manipulated by rules of arithmetic. For example, when adding or subtracting numbers in scientific notation, the exponents are made equal before adding or subtracting the coefficients.

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A histogram of blood alcohol concentrations in fatal accidents shows that BACs are highly skewed right. Explain why a large sample size is needed to construct a confidence interval for the mean BAC of fatal crashes with a positive BAC.

Answers

A large sample size is needed to construct a confidence interval for the mean BAC of fatal crashes with a positive BAC because it allows for a better approximation of a normal distribution according to the Central Limit Theorem, reduces the margin of error, and minimizes the impact of outliers in a highly skewed right distribution.

To understand why a large sample size is needed to construct a confidence interval for the mean BAC of fatal crashes with a positive BAC, especially when the histogram of blood alcohol concentrations is highly skewed right.

A histogram of blood alcohol concentrations (BACs) in fatal accidents that is highly skewed right indicates that most of the data points are concentrated on the lower end of the scale, with fewer data points extending to the higher BAC levels. When constructing a confidence interval for the mean BAC of fatal crashes with a positive BAC, a large sample size is necessary for the following reasons:

1. Central Limit Theorem: The Central Limit Theorem (CLT) states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. A larger sample size allows for a better approximation of a normal distribution, which is essential for constructing an accurate confidence interval.

2. Decreased Margin of Error: A larger sample size reduces the margin of error in the confidence interval, leading to a more precise estimate of the true population mean. As sample size increases, the standard error of the sample mean decreases, which narrows the confidence interval.

3. Minimizing the Impact of Outliers: In a highly skewed right distribution, there may be extreme values (outliers) on the higher end of the BAC scale. A larger sample size helps to minimize the impact of these outliers on the mean and the confidence interval, leading to a more accurate representation of the true population mean.

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Determine the number of triangles ABC possible with the given parts.
A=43.7° a 8.7 b = 10.3
How many possible solutions does this triangle have?

Answers

Given: A = 43.7°, a = 8.7, and b = 10.3We can find the number of possible triangles by using the Law of Sines, which states that a / sin A = b / sin B = c / sin C, where a, b, and c are the side lengths and A, B, and C are the opposite angles. Let's first use the Law of Sines to find the value of sin B: a / sin A = b / sin B => sin B = b sin A / a.

Substituting the given values, we get: sin B = 10.3 sin 43.7° / 8.7≈ 0.641Now we know the value of sin B. We can use the inverse sine function (sin⁻¹) to find the possible values of angle B: B = sin⁻¹ (0.641)≈ 40.4° or B ≈ 139.6°Note that there are two possible angles for B because sine is a periodic function that repeats every 360°.Now that we know the possible values of angle B, we can use the fact that the sum of the angles of a triangle is 180° to find the possible values of angle C: C = 180° - A - B. For B = 40.4°, we get: C = 180° - 43.7° - 40.4° = 95.9°For B = 139.6°, we get: C = 180° - 43.7° - 139.6° = -2.3°Note that we get a negative value for angle C in the second case, which is not possible because all angles of a triangle must be positive. Therefore, the second case is not valid and we only have one possible triangle. Answer: There is only one possible triangle.

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Angles 3 and 5 are what type of angle pair?

Angles 3 and 5 are what type of angle pair?

Answers

Answer:

interior opposite angles

Step-by-step explanation:

they are inside of the shape but on opposite sides (and i did this freshman year)

Answer:

alternate interior angles

Step-by-step explanation:

∠ 3 and ∠ 5 are alternate interior angles.

These angles are on the opposite ( alternate ) sides of the transversal and are in between ( in the interior ) of the parallel lines.

If the processed amount is USD275 , what is the amount to be refunded at 40%

Answers

The amount to be refunded at 40% of the processed amount of USD275 is USD110.

The problem asks for the amount to be refunded at 40% of the processed amount, which is USD275.

To find the amount to be refunded at 40%, you need to calculate what 40 percentage of USD275 is. To do this, you first need to convert 40% into a decimal by dividing it by 100. This gives you 0.4 as the decimal equivalent of 40%.

Then, you can multiply the processed amount of USD275 by the decimal value of 0.4 to get the amount to be refunded:

= USD275 x 0.4

Multiply the numbers

= USD110

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What is the domain of the following relation?

{(-1,2) (2, 51) (1,3) ( 8,22) (9 , 51)}

a) -1, 2, 1, 8, 9
b)2, 51, 3, 22, 51
c)need more information

Answers

the answer is b :)) i hood you get the answer right

Match each expression with its value. −9 7 −2 Undefined h( 3.999 ) h(4) h(4.0001) h(9)

Answers

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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Data for Hermann Corporation are shown below:Per Unit // Percent of SalesSelling price $ 90 // 100 %Variable expenses 63 // 70Contribution margin $ 27 // 30 %Fixed expenses are $30,000 per month and the company is selling 2,000 units per month.2-a. Refer to the original data. However, in the text it is provided as "How much will net operating income increase (decrease) per month if the company uses higher-quality components that increase the variable expense by $2 per unit and increase unit sales by 10%.2-b. Should the higher-quality components be used?

Answers

It would be beneficial for the company to use higher-quality components despite the increase in variable expenses.

2-a. From the original data, the net operating income (NOI) of Hermann Corporation can be calculated as follows: Sales revenue = Selling price x Units sold = $90 x 2,000 = $180,000Variable expenses = Variable expenses per unit x Units sold = $63 x 2,000 = $126,000Contribution margin = Sales revenue - Variable expenses = $180,000 - $126,000 = $54,000Fixed expenses = $30,000 Net operating income = Contribution margin - Fixed expenses = $54,000 - $30,000 = $24,000

Now, if the company uses higher-quality components, then: Variable expenses per unit = $63 + $2 = $65Contribution margin per unit = $90 - $65 = $25Units sold = 2,000 x 1.10 = 2,200So, the new net operating income will be: Sales revenue = Selling price x Units sold = $90 x 2,200 = $198,000 Variable expenses = Variable expenses per unit x Units sold = $65 x 2,200 = $143,000Contribution margin = Sales revenue - Variable expenses = $198,000 - $143,000 = $55,000

Net operating income = Contribution margin - Fixed expenses = $55,000 - $30,000 = $25,000Therefore, the net operating income will increase by $1,000 per month if the company uses higher-quality components that increase the variable expense by $2 per unit and increase unit sales by 10%.2-b. Based on the calculations above, it can be seen that using higher-quality components will increase the net operating income of Hermann Corporation by $1,000 per month.

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The value of a professional basketball player's autograph rose 40% in the last year. It is now worth $350.00. What was it worth a year ago?

Answers

The autograph of the professional basketball player's was worth $250.00 a year ago.

What was the worth of the professional basketball player's autographa year ago?

Given that, in the last year, the value of a professional basketball player's autograph rose 40% and it is now worth $350.00.

To determine it worth a year ago, let's call the original value of the autograph "x".

We know that the value increased by 40%, which means it became:

100% + 40% = 140% of its original value.

We can set up the following equation:

140% × x = 350

(140/100)x = 350

1.4x = 350

To solve for x, we can divide both sides by 1.4:

x = 350 ÷ 1.4

x = 250

Therefore, the autograph was worth $250.00 a year ago.

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sara had 51 stickers and her dad had 13 stickers how many are in all

Answers

Answer:

64

Step-by-step explanation:

Answer:

64!

Step-by-step explanation:

(50 + 10) + (1 + 3)

   (60)          (4)

60 + 4 = 64!

91) __________ involves the analysis of accumulated data and involves a __________. a) OLAP, database b) OLAP, data warehouse c) OLTP, database d) OLTP, data warehouse

Answers

OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

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.

one card is selected from a deck of 52 cards and placed in a second deck (also 52 cards). a card then is selected from the second deck. (a) what is the probability that the second card is an ace? (b) given that an ace was drawn from the second deck, what is the conditional probability that an ace was transferred?

Answers

The probability of drawing an ace from the second deck is 1/13. Given that an ace was drawn from the second deck, the conditional probability that an ace was transferred is 1/17.

Probability that the second card is an ace:

There are initially 4 aces in the second deck.

The total number of cards in the second deck is 52.

Therefore, the probability of drawing an ace is 4/52.

Probability = Number of favorable outcomes / Total number of outcomes

Probability = 4/52

Probability = 1/13

Conditional probability that an ace was transferred, given that an ace was drawn from the second deck:

Since an ace was drawn from the second deck, we know that the second card is one of the four aces.

There was initially one card transferred from the first deck to the second deck, so there are now 51 cards left in the second deck.

Out of these 51 cards, only 3 are aces (since one ace has already been drawn).

Conditional Probability = Number of favorable outcomes / Total number of remaining outcomes

Conditional Probability = 3/51

Conditional Probability = 1/17

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Mark incorrectly says that 3 1/3 is the same as 3.13. convert 3 1/3 to a decimal correctly. what did he do wrong

Answers

Answer:

3.33  

Step-by-step explanation:

3 1/3 is equal to ((3*3)+1)/3

= 10/3  

= 3.33   ---------> Final answer

In a survey of 1,600 people who owned a certain type of car, 640 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?

Answers

Answer:

40%

Step-by-step explanation:



Write a rational equation using expressions that have x² - 9 as their LCD.

Answers

The rational equation using expressions that have x² - 9 as their least common denominator (LCD  is :(1/(x-3)) - (1/(x+3)) = 5/(x² - 9)

To write a rational equation using expressions that have x² - 9 as their least common denominator (LCD), we need to create fractions with denominators that include factors of x² - 9.

The expression x² - 9 can be factored as (x - 3)(x + 3). So, our LCD is (x - 3)(x + 3).

Now, let's construct the equation. We can use the factored form of the LCD to create two fractions:

1/(x - 3) and 1/(x + 3)

To combine these fractions, we need to find a common denominator. Since the LCD is (x - 3)(x + 3), we can write the equation as:

(1/(x - 3)) - (1/(x + 3)) = 5/(x² - 9)

In this equation, both fractions have denominators that include the factors of x² - 9, which is our desired LCD.

This rational equation allows us to solve for values of x that make the equation true. By manipulating the equation further, we can find the solutions and determine the values of x that satisfy the equation.

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I NEED HELP NOW ITS WORTH 100 POINTS ITS A STUPID QUESTION BUT I NEED TO UNDERSTAND THIS ASAPP MY TEACHER ISNT HELPING AT ALL

I NEED HELP NOW ITS WORTH 100 POINTS ITS A STUPID QUESTION BUT I NEED TO UNDERSTAND THIS ASAPP MY TEACHER

Answers

Answer:

7 and 5

Step-by-step explanation:

Answer:

I think it means to take the measurements  of the bigger trash bin and turn it into the scale of 0.75

Evaluate the expression 5^-2

Answers

Hi there! :)

Answer:

\(\huge\boxed{\frac{1}{25}}\)

When evaluating an expression with a negative exponent, the reciprocal will need to be taken. Therefore:

\(5^{-2} = \frac{1}{5^{2} } = \frac{1}{25}\)

1/25

= 1/5*5

=1/5^2

=1/25



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