Subtract the rational expressions: a+1 / 2a + 3/a^2
Please Help within the hour !!

It wont let me copy the answers so please do the math?... Thank You

Answers

Answer 1

The simplification of the given expression is (a² + a + 1)/a².

What is an Algebraic expression?

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is a+1/2a + 3/a².

It can be evaluated as follows,

a+1/2a + 3/a²

Take the LCM of a and a² as a².

= (a(a + 1)+ 3)/a²

= (a² + a + 1)/a²

Hence, the given expression can be simplified to obtain (a² + a + 1)/a².

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Related Questions

I need help desperately

Answers

Answer:

0.5

Step-by-step explanation:

find the slope of the line passing through the points (7, -1 ) and ( 3, -6)

Answers

Answer:

1

Step-by-step explanation:

m = y2-y1 / x2-x1

m = -6+1 / 3-7

m = -5/-5

m = 1

Answer:

Slope = -5/4

Step-by-step explanation:

The four members of a singing quartet are buying new outfits. The shirts are $21, the pants are $26, the hats are $6 and the canes
are $13. What is the total cost of the new outfits for all the members?
O $264
O $284
O $244
O $224

Answers

The total cost of the new outfits for all the members is $264. So, the correct answer is option A.

What is total?

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Given that, the shirts are $21, the pants are $26, the hats are $6 and the canes are $13.

Here, the cost of outfits for a person is

(21+26+6+13)=66

The cost of outfits for the four members is

66×4=$264

Therefore, option A is the correct answer.

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please help!!will give brainliest!​

Answers

Answer:

Step-by-step explanation: the answer is probably 50 because the bottom line is the same length as the other 50.

Answer: 45

(Read the explanation to make sure it is correct)

Step-by-step explanation:

Let's start with what we know. Since the sum of all angles in a triangle add up to 180, we can use that logic to find the last angle in the triangle. So far, we have:

85 + 50 + x = 180

We subtract 135 from both sides to get:

x = 45!

Please help! No work needed!!!!

Answers

The limit intercepted by the given function, f'(8) is [tex]\lim_{n \to \8} \frac{\sqrt[3]{(x-8)} -8 }{x-8}[/tex]

What is limit?

A limit is a value toward which an expression converges as one or more variables approach certain values, a limit tells us the value of a function when its input closes to a certain value. Limits are used to define continuity, derivatives, and integrals. The limit of a product is equal to the product of the limits. The limit of a quotient is equal to the quotient of the limits. The limit of a constant function is equal to the constant.

Given that a function, f(x) = ∛x

The formula for applying the limit is :-

The first derivative is given by,

f'(x) = limx->c (f(x) - f(c))/(x-c)

Applying limit, we get,

f'(x) = [tex]\lim_{n \to \8} \frac{\sqrt[3]{(x-8)} -8 }{x-8}[/tex]

Hence, The limit intercepted by f'(8) is [tex]\lim_{n \to \8} \frac{\sqrt[3]{(x-8)} -8 }{x-8}[/tex]

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Challenge An airplane is preparing to land at an airport it is 42,000 feet above the ground and is descending at the rate of 3,500 feet per minute. At the same airport, another airplane is taking
off and will ascend at the rate of 2,500 feet per minute When will the two airplanes be at the same astude and what will that altitude be? Use pencil and paper. Use two other methods to solve
the problem.

Answers

Answer:

To solve this problem, we first need to find out how much time it will take for the airplane that is descending to reach the same altitude as the airplane that is ascending. To do this, we can use the formula d = r * t, where d is the distance, r is the rate, and t is the time.

In this case, the distance is the difference between the starting altitudes of the two airplanes, which is 42,000 feet for the descending airplane and 0 feet for the ascending airplane. The rate is the rate at which the descending airplane is descending, which is 3,500 feet per minute. Plugging these values into the formula, we get:

d = r * t

d = (3,500 feet/minute) * t

d = 42,000 feet

Solving for t, we get:

t = d / r

t = (42,000 feet) / (3,500 feet/minute)

t = 12 minutes

So it will take 12 minutes for the descending airplane to reach the same altitude as the ascending airplane.

To find the altitude at which the two airplanes will be at the same altitude, we can use the formula d = r * t, where d is the distance, r is the rate, and t is the time. In this case, the distance is the altitude at which the two airplanes will be at the same altitude, the rate is the rate at which the ascending airplane is ascending, which is 2,500 feet per minute, and the time is the time it will take for the descending airplane to reach the same altitude as the ascending airplane, which we calculated to be 12 minutes.

Plugging these values into the formula, we get:

d = r * t

d = (2,500 feet/minute) * (12 minutes)

d = 30,000 feet

Therefore, the altitude at which the two airplanes will be at the same altitude is 30,000 feet.

There are several other ways we could have solved this problem. For example, we could have used the formula d = r * t to find the altitude of the ascending airplane at the same time that the descending airplane reaches the same altitude, and then subtracted the starting altitude of the ascending airplane (0 feet) from this value to find the altitude at which the two airplanes will be at the same altitude.

Another way to solve this problem is to use the formula d = (v1 + v2) * t / 2, where d is the distance, v1 and v2 are the rates at which the two airplanes are moving, and t is the time. In this case, we can set d equal to the difference between the starting altitudes of the two airplanes, v1 equal to the rate at which the descending airplane is descending, v2 equal to the rate at which the ascending airplane is ascending, and t equal to the time it will take for the descending airplane to reach the same altitude as the ascending airplane.

Plugging these values into the formula, we get:

d = (v1 + v2) * t / 2

d = (3,500 feet/minute + 2,500 feet/minute) * (12 minutes) / 2

d = (6,000 feet/minute) * (12 minutes) / 2

d = (72,000 feet) / 2

d = 36,000 feet

Therefore, the altitude at which the two airplanes will be at the same altitude is 36,000 feet.

We can also solve this problem using a table to track the altitude of the two airplanes over time. We can start by making a table with

Write the Roman Numeral CXXXIV in standard???

Answers

Answer:

Step-by-step explanation: C is 100 X is 10 IV is 4 since the smaller number is in the front so you subtract instead of add

C=100 3X=30 IV=4

100+30+4=134

CXXXIV=134

Find the opposite of 4p3+9p−2 .

Answers

The opposite of the given polynomial 4p³ + 9p - 2 is; -4p³ - 9p + 2

What is the opposite of the number?

The opposite of a number is basically its additive inverse. This means the sum of a number and its opposite is zero. We refer to this as the property of opposites.

Thus, we can say that the opposite of −888 is 888 ; the opposite of 25 is −25 ; the opposite of 4 is −4 .

Now, we want to find the opposite of the polynomial given as;

4p³ + 9p - 2

Applying the concept of opposite numbers gives us;

-4p³ - 9p + 2

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question 1: Find the percent of change to the nearest tenth of a percent for Centerville
question 2: Which town had the greatest percent of change
question 3: What was the percent of change? (From your answer in Part B) Do Not Include 'Increase' or 'Decrease.' Round to the nearest whole percent.

Answers

The Population Changes table indicate the following percent of change of the three towns

Question 1: The percent of change for Centerville is about 29.6%

Question 2: The town with the greatest percent of change is Riverview

Question 3: The percent of change for Riverview is about 51%

What is a percent of change?

A percent of change is the change in the value of a parameter, expressed as a percentage.

Question 1: The population Centerville in 2000 = 37,065

The population of Centerville in 2010 = 26,102

The percentage change can be found using the formula;

[tex]Percentage \ change=\dfrac{New \ value - Initial \ value}{Initial\ value} \times 100[/tex]

The percentage change for Centerville is therefore;

[tex]Percentage \ change=\dfrac{Population \ in \ 2010-Polulation \ in \ 2000}{Population \ in \ 2000} \times 100[/tex]

From which we get;

[tex]Percentage \ change \ for \ Centerville=\dfrac{26102-37065}{37065} \times 100 \approx -29.6\%[/tex]

The percentage of change for Centerville is a reduction in the population by about 29.6%

Question 2:

The percent of change for the town of Lakeside is found as follows;

Percentage change = ((45,863 - 51,342)/(51,342)) × 100 ≈ -10.7%

The percent of change of the population of Riverview is found using the percentage change formula as follows;

Percentage change = ((63017 - 41726)/(41726)) × 100 = 51%

Therefore, the town that had the greatest percent of change is is Riverview

Question 3: The percent of change for Riverview is about 51%

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θ is an acute angle. Find the value of θ in degrees.
sec(θ)=2

Answers

The value of θ is 60° and the the value of the equation sec 60° = 2

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the angle be represented as θ

Now , given that the angle θ is acute

Acute angles measure less than 90 degrees

So , the value of θ < 90°

when the value of sec θ = 2

cos θ = 1/sec θ

So , cos θ = 1/2

The value of θ when cos θ is 1/2 is when the angle θ is 60°

Therefore , the value of θ is 60° and sec 60° = 2

Hence , The value of θ is 60° and the the value of the equation sec 60° = 2

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Please help I DONT understand!!

Answers

Equal or less than 7.

Answer:7 meter

Step-by-step explanation:8 meter and 5meter are both sides and perimeter is all side added together so 8+5 is 13 meter and u must have 20 so take the 13 m and subtract it 20m-13m=7m

and there you get answer

A pilot study of electro-mechanical protection devices used in electrical power systems showed that of 193 devices that failed when tested, 75 failed due to mechanical parts failures. (a) How large a sample is required to estimate the population proportion to within an error of 0.03 with 95% confidence? (b) what would your answer be if no information from a pilot study are available?

Answers

(a) A sample size of 784.44 is required to estimate the population proportion to within an error of 0.03 with 95% confidence.

(b) A sample size of 393.22 would be required if no information from a pilot study is available.

What is a sample size?

Sample size refers to the number of observations or measurements that are taken from a larger population as part of a statistical study. In statistical analysis, a sample is a subset of the population being studied, and the sample size is the number of observations or units of analysis included in the sample.

To answer this question, we need to use the formula for the sample size of a proportion:

[tex]n = \frac{Z^2 * p * (1 - p))}{e^2}[/tex]

Where n is the sample size, Z is the z-score corresponding to the desired confidence level (in this case, Z = 1.96 for a 95% confidence level), p is the estimated population proportion (in this case, p = 0.75 based on the information provided in the question), and e is the desired margin of error (in this case, e = 0.03).

Plugging these values into the formula, we get:

[tex]n = \frac{(1.96^2 * 0.75 * 0.25)}{0.03^2} \\\\n= 784.44[/tex]

If no information from a pilot study is available, we would need to use a default value for p (such as p = 0.5) in the formula. In this case, we would get:

[tex]n = \frac{(1.96^2 * 0.5 * 0.5)}{0.03^2}\\\\n= 393.22[/tex]

Hence,

(a) A sample size of 784.44 is required to estimate the population proportion to within an error of 0.03 with 95% confidence.

(b) A sample size of 393.22 would be required if no information from a pilot study is available.

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Choose true or false.

There is more than one way to find a job.

True
False

Answers

Answer:

true

Step-by-step explanation:

Answer:

true.

Step-by-step explanation:

Consider the Matrices

Answers

The dimensions of the product matrix are:

BD = 2 x 1

DA = 1 x 2

DC = 2 x 3

What is a matrix?

A matrix is a form of writing items in rows and columns.

The dimensions of the matrix are written as m x n.

Where m is the number of rows and n is the number of columns.

We have,

The matrix A has dimensions 3 x 2.

The matrix B has dimensions 2 x 2.

The matrix C has dimensions 1 x 3.

The matrix D has dimensions 2 x 1.

The dimensions of the product of two matrices is given as,

A = p x q

B = q x r

AB = p x r

Thus,

The dimensions of the product matrix of BD.

= 2 x 1

The dimensions of the product matrix of CA.

= 1 x 2

The dimensions of the product matrix of DC.

= 2 x 3

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What is 2+2?
A. 4
B. 2
C. 1
D. 0

Answers

Answer:

A. 4

Step-by-step explanation:

2+2=4

Adding

A. 4 because adding 2 fingers to another 2 fingers make 4 fingers.

How do you solve these problems?

Answers

Answer: Just look at how far each point is from the x=-3 line and then count to the left of the line how far away it is on the same y-cord and that is the point.

so poin U is 2 away from the x=-3 line so stay at the y line of 4 and then count to the left of the line x=-3 two and you get the point at (-5,4)

Step-by-step explanation:

Find g(x), where g(x) is the translation 4 units left of f(x)=3x–10.
Write your answer in the form mx+b, where m and b are integers.

Answers

The function f(x) after translation by 4 units left is g(x) = y = 3x + 2.

What is an expression? What is a expression? What is a mathematical equation? A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.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.

Given is the function as -

f(x) = 3x - 10.

We have the function -

y = 3x - 10

We can write the function f(x) after translation by 4 units left as -

y = 3(x + 4) - 10

y = 3x + 12 - 10

y = 3x + 2

Therefore, the function g(x) can be written as y = 3x + 2

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1945 men and 2849 women register to audition for a singing competition. The number of participants who are not successful in their auditions what’s five times the number of those who are successful. How many participants were successful

Answers

By solving a linear equation, it can be calculated that-

799 participants were successful

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here, a linear equation needs to be solved.

Number of men = 1945

Number of women = 2849

Total number of participants = 1945 + 2849 = 4794

Let the number of participants who were successful be x

Number of men who were not successful = 5x

Total number of participants = 5x + x = 6x

By the problem,

The linear equation is

6x = 4794

x = [tex]\frac{4794}{6}[/tex]

x = 799

799 participants were successful

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What is the missing reason?

2(x-7)= 3x+4
2x-14 = 3x+4
-X-14 = 4
-X=18
X=-18


(Given)
(Distributive Property)
???
(Addition Property)
(Multiplication Property)


Addition Property
Transitive Property
Subtraction Property
Multiplication Property

Answers

The answer is subtraction property.

Given the conditional statement ~p q, which statement is logically equivalent? p ~q. ~p ~q. ~q ~p. ~q p.​

Answers

Answer: contrapositive ⌝Q→⌝P.

Find the vertex of x^2-4x+3=0.
Is the vertex a minimum or maximum. Explain.
You must show all work to receive full credit.

Answers

I asked you if you typed it correctly, and you said that it was typed correctly.

x^2 - 4x + 3 = 0

This is not the equation of a graph, it is vertical lines with infinite slope.

But, if it were a regular function

x^2 - 4x + 3 = y

a        b      c

To find the vertex, use the vertex formula

-b/2a

-(-4)/2(1)=4/2 = 2.  

The vertex is at x = 2

4-8+3=y

y = -1

Coordinates of vertex is (2,-1)

It is a minimum because the coefficient a is a positive number

Hope this helps :)

-Jeron

How many quarts of pute antifreeze must be added to 3 quarts of a 20% antifreeze solution to obtain a 40% antifreeze solution

Answers

Answer: 0.6

Explanation: I am going to break them into steps, so that you can understand them more clearly.

Step 1: Find how much the amount of water is needed:

0.4(3 quarts + x quarts) = (0.6 quarts + x)

Step 2: Find how much the quarts is divided by 0.6:

1.2 + 0.4x = 0.6 + x

Step 3: each quart is equal to 1 therefore:

x = 1 quart - which is 0.6

Message: If this was helpful, let me know by giving me a thanks! :)

Use the remainder theorem to find P(1) for P(x)=-x⁴+3 x³+4 x²-9.
Specifically, give the quotient and the remainder for the associated division and the value of P(1).
Quotient =
Remainder =
P(1)=

Answers

By using remainder theorem , value of P(1) = (-1)

P(1) = 1 + 3 + 4 - 9

P(1) = (-1)

Remainder Theorem is an approach of Euclidean division of polynomials. According to this theorem, if we divide a polynomial P(x) by a factor ( x – a); that isn’t essentially an element of the polynomial; you will find a smaller polynomial along with a remainder. This remainder that has been obtained is actually a value of P(x) at x = a, specifically P(a)

For finding the value of P(1) we have to put the value of 1 on the place of x, then we can get  P(1) = (-1)

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Callie and her friend Elena are reading through different novels they checked out from their school library last Tuesday. Callie's progress
Calculator:
Neutral
through her novel can be modeled by the function p(d) = -25d. +
318, where p(d) represents the number of pages remaining to be read and dis the number of days since receiving the book. Elena's progress through her novel is modeled by the graph below.I

Answers

Answer: 69

Step-by-step explanation: jamal

Alan opened a $10,000 line of revolving credit at the bank. How
much can he borrow if he has already borrowed $2,000 and paid
back $500 of that amount?

Answers

The amount that Alan can be able to borrow for credit balance is $8,500.

What is credit balance?

The capacity to access products or services or borrow money with the idea that you'll pay for them later is known as credit. An amount that the card issuer owes you can be seen as a credit balance on your billing statement. With each payment you make, credits are added to your account. When you return something you purchased with a credit card, a credit might be added.

Given, total limit =  $10,000

Borrowed amount = $2,000

paid back = $500

So, remaining amount that he can borrow = $10,000 - $2,000 + $500

                                                                      = $8,500

Hence, he can be able to borrow $8,500.

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33. Express regularity in repeated reasoning. If
5 miles is the distance a cyclist travels in
20 minutes, then how many miles does the cyclist
travel in 1 minute?

Answers

5 miles is the distance a cyclist travels in 20 minutes, then 0.25 miles does the cyclist travel in 1 minutes.

What is miles unit in distance?

A mile was equivalent to 1,000 Roman strides, with a stride being equal to two paces. The term "mile" is derived from the Latin "mille passus," which means "one thousand paces." The English Parliament established the Mile at eight furlongs (one furlong is 660 feet) in 1592. 5,280 feet, 1,760 yards, or around 1,609 meters make up a mile. On July 1, 1959, an international agreement established the mile's precise measurement at 1609.344 metres. Currently, the mile is the only unit of measurement used in the US and UK.

So, a mile is one of many different distance units.

Given that,

In 20 minutes a cyclist travels distance of 5 miles

So, in 1 minutes cyclist travels distance of [(5/20) × 1] miles

                                                                     = 0.25 miles

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Wanda drove for w hours on a trip. Wanda's husband
drove 3 hours more than she did. Which expression
represents the total time they spent driving?
A. w+6
B. 2w+3
C. w-6
D. 2w -3

Answers

By using the concept of addition, it can be calculated that-

The total time they spent driving = 2w + 3

Option b is correct

What is addition?

Suppose there are many numbers, and we need to find the sum total of all those integers, then the operation used in this case is called addition

This is a word problem on addition

Wanda drove for w hours on a trip.

Wanda's husband drove 3 hours more than she did.

Time for which Wanda's husband drove = w + 3

The total time they spent driving = w + w + 3

                                                       = 2w + 3

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Twice the measure of an angle is 18° more than the complement of the angle. Find the measure of the angle and the measure of its complement.

Answers

Answer:

Below

Step-by-step explanation:

angle = x

complement = 90 - x

  complement also is given as   2x-18

      2x-18 = 90 - x

       3x = 108

         x = 36°       then complement = 90-x = 54°

Can you please help mee pls

Answers

Answer: D

Step-by-step explanation: I had this same question before

Y = -1/4x + 7 solve for slope

Answers

Answer:

-1/4

Step-by-step explanation:

y=mx+b

m-slope

b-  y-intercept

here, m = -1/4. Slope =-1/4

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