If K=tm^(p/q) create a formula for q

This means that function of (x²+ 1) will give 1/(x²+ 1). To  get f(x), we will simply replace x²+ 1 in the function f(x²+ 1) with x to give;

f(x) = 1/x

How do you define a function?

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given h(x) = 1/(x²+ 1) and g(x) = x²+ 1. If h(x) = f(g(x)) then;

1/(x²+ 1) = f(x²+ 1)

f(x²+ 1) = 1/(x²+ 1)

This means that function of (x²+ 1) will give 1/(x²+ 1). To  get f(x), we will simply replace x²+ 1 in the function f(x²+ 1) with x to give output ;

f(x) = 1/x

Hence the function of x i.e f(x) is 1/x

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The probability that we drew a green ball from the second hat is 1/4.

So, the second hat contains 9 red balls and 3 green balls.

Now,

Therefore, the probability that we drew a green ball from the second hat is 1/4.

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Answer: 8690

Step-by-step explanation:

Divide $43450 by the number of months there are in a year (which is 12) and you get the answer

The number of tablespoons Debnil has is 2 tablespoons

Number of teaspoons of salt with Debnil = 6

Ratio = 3:1

Ratio: mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."

Let x represent the total number of teaspoons and the tablespoons

Therefore,

6 = 3/4x

x = (6*4)/3

x = 8

So, there are a total of 8 spoons

Now, the number of tablespoons is 1/4 of the total

Hence, the number of tablespoons will be 2

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Answer: m = 1

Step-by-step explanation

First, you must fill in the slope formula:

(7,6) first ordered pair

(6,5) second ordered pair

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

m = [tex]\frac{6-5}{7-6}[/tex] = [tex]\frac{1}{1}[/tex]

The slope is 1.

nswer

Option C is correct

14x + 9

Explanation

e need to simplify the sexpression

16x - 10) + (-2x + 19)

= 16x - 10 - 2x + 19

ollect like terms by bringing terms with x together

= 16x - 2x - 10 + 19

= 14x + 9

Hope this Helps!!!

Answer:

Step-by-step explanation:

g(x)=3x

g(-2)=3(-2)=-6

g(0)=3(0)=0

g(5)=3(5)=15

Main Answer:

2700 dollars

Explanation:

Let x be the number of  weeks and y be the total amount of money, then the equation can be written as,

[tex]y=50x+100[/tex] -------(1)

In a year there are 52 weeks.

Money she will have after 1 year is found out by putting x = 52 in the equation (1), we get

[tex]y=50(52)+100[/tex]

[tex]y=2600+100[/tex]

∴[tex]y=2700[/tex]

Therefore, the money she have after 1 year is 2700 dollars.

An example of a human right that I think is essential for everyone to have throughout the world is the right to life.

This right is essential because we all should live and no one should deny others the right.

All people have the same basic legal rights, regardless of their gender, color, nationality, ethnicity, language, religion, or any other distinction. Human rights cover a wide range of rights, such as the freedom from slavery and torture, the right to life and liberty, the freedom of speech, the right to a job and an education, among many more. Human rights, which are usually protected by both domestic and international law, are moral principles or rules for particular standards of human behavior.

Human rights cover a wide range of rights, such as the freedom from slavery and torture, the right to life and liberty, the freedom of speech, the right to a job and an education, among many more. These rights apply to everyone without exception. The idea that a creature has the right to survive and, in particular, shouldn't be killed by another entity, is known as the right to life.

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Answer:

Step-by-step explanation:

5u  = 180° -  ( 120° + 30°) =  180° - 150° = 30°

u = 30° / 5 = 6°

The position of the given term is mathematically given as

n = 24

This is further explained below.

A function that goes from one set to another gives each element of the first set precisely one element of the second set.

This particular set, X, is referred to as the function's domain, and this particular set, Y, is referred to as the function's codomain.

Generally, the equation for Function the is mathematically given as

f(n) = 2.5 n - 16

Considering that the total is 52, we need to locate the letter "n." (position). Now let's get the answer for "n":

52=(2n-2)+2

52=2n-2+2

52 = 2n-4

n = (52-4)/2

n = 24

In conclusion, the position of the given term.

n = 24

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The total number of employees in the company in the year 2015 is 275 employees

Number of employees in the company before increase = 200 employees

Percentage increase in employees between 2005 and 2010 = 25%

Percentage: A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test.

So, the number of employees after the increase = 200+25%of 200

= 200+50 = 250

Percentage increase in employees between 2010 and 2015 = 10%

Number of employees after increase = 250 + 10% of 250

= 250 + 25 = 275 employees

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Answer:

3x8x2xπ ≈ 150.796m²

Step-by-step explanation:

when unfolded the cylinder is a rectangle of area equal to:

HxW ; H=height W=width

W is equal to the primer of the circle and the formula for that is:

2xπxr

substituting you get the area of a cylinder as follows:

Hxrx2xπ

By taking the quotient between the area that one pound covers and the area of the kitchen, we conclude that Alyssa will need 0.29 pounds of grout.

We know that one pound of grout covers a total of 110 square feet.

Alyssa's kitchen is made of two rectangular segments, one that measures 10.3ft by 2.5 ft, then the area of this rectangle is:

10.3ft*2.5ft = 25.75 ft²

The other rectangle has dimensions of 3.1ft by 2ft, so the area is:

3.1ft*2ft = 6.2ft²

The total area is:

25.75 ft² + 6.2ft² = 31.95 ft²

Now, with one pond of grout, they can cover 110 ft², then the number of pounds that Alyssa needs is:

N = 31.95 ft²/110 ft² = 0.29

Alyssa will need 0.29 pounds of grout.

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[tex]11m = 3n \\ \frac{11m}{11 \times n} = \frac{3n}{11 \times n} \\ \frac{m}{n} = \frac{3}{11} [/tex]

ATTACHED IS THE SOLUTION

Answer:

Answer:

Perimeter = 2(l+b)

Perimeter = 116

width = x

length = 3x

116 = 2(3x+ x)

116 = 6x+2x

116 = 8x

x = 116/8

x = 14.5

You can verify answer by inputing value of x to see if perimeter is = 116 :

perimeter = 2(l+b)

116 = 2(3(14.5) + 14.5)

116 = 2(43.5 + 14.5)

116 = 87 + 29

116 = 116

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The length of Noah’s bike ride was 1 1/2 of Mai’s bike ride

From the question, the given parameters are

The number of times the length of Noah’s bike ride was Mai’s bike ride is calculated as

Number of times = Distance covered by Mai/Distance covered by Noah

Substitute the known values in the above equation

So, we have the following equation

Number of times = (6 3/4)/(4 1/2)

Evaluate the quotient in the above equation

Number of times = 1 1/2

Hence. the number of times is 1 1/2 times

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Answer:-63.18

Step-by-step explanation:

[tex]$\frac{4x^2+4x}{2x^2-2} =[/tex]

[tex]$\frac{4x\left(x+1\right)}{2x^2-2} =[/tex]

[tex]$\frac{4x\left(x+1\right)}{2\left(x+1\right)\left(x-1\right)} =[/tex]

[tex]$\frac{4x}{2\left(x-1\right)}=[/tex]

[tex]$\frac{2\cdot \:2x}{2\left(x-1\right)} = \frac{2x}{x-1}[/tex]

Answer:

4

Answer and Explanation: Two to the second power is 4. We write two to the second power as follows: 22.\

4 to the power of 2 can be expressed as 42 = 4 × 4 = 16.

Answer:

its all real numbers i took the quiz before

Step-by-step explanation:

The line A and line B are perpendicular to each other.

For the given ques, the graph of line A and line B are given.

The relation of slope of two perpendicular lines is their product of slope is -1.

Line A: select two point lying on the line A.

(2, 3) and (1, 1)

slope = m = (2 - 1)/(3 - 1)

m₁ = 1/2

Line B: select two point lying on the line B.

(8, 0) and (0, 4)

slope = m = (0 - 4)/(8 - 0)

m₂  = -4/8

m₂ = -1/2

Now, multiply both slopes.

m₁ x m₂ = 1/ 2 x -1/2

m₁ x m₂ = - 1

Thus, the line A and line B are perpendicular to each other.

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Answer:

-4.1 < -√20

Step-by-step explanation:

-√20 = -4.472135954 (-4.47)

-4.4 < -4.47 (-√20)

Evaluating the algebraic expressions for the values given, we have:

a. -7

b. -10.

To evaluate and algebraic expression, plug in the value of the variable given and solve accordingly.

a. Given the algebraic expression, xy + 5.

If x = 2, and y = -6, then substitute x = 2 and y = -6 to evaluate the algebraic expression:

xy + 5

(2)(-6) + 5 [substitution]

= -12 + 5

= -7

b. Given the algebraic expression, x/y - 12, if x = 22 and y = 11, then substitute x = 22 and y = 11 into the expression and evaluate:

x/y - 12

22/11 - 12 [substitution]

= 2 - 12

= -10.

Thus, the values of the expressions when evaluated for the given variables are:

a. -7

b. -10.

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The difference between the depths in February and July is the fourth option that is 13 feet |−13|.

Given that:-

Average of a depth of a local lake = 26 ft represented as |−26|.

Depth of a local lake in February = 5 ft represented as |−5|.

Depth of a local lake in July = 18 ft represented as |−18|.

We have to find the difference between the depths in February and July.

We know that,

Difference between the depths in February and July = Depth in July - Depth in February = 18 - 5 = 13 feet represented as |−13|.

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Answer:

B.) cylinder

Step-by-step explanation:

2 circles on either side and a rectangle between them

The number of choices that the professor has is 56.

From the information, the professor has eight graduate students and three students can go to the conference. This will be calculated using combination.

Combination formula

nCr = n! / ((n – r)! r!)

n = the number of items. = 8

r = how many items are taken at a time. = 3

Therefore, this will be:

= 8! / (8 - 3)! 3!

= 8! / 5!3!

= 8 × 7 × 6 / 3 × 2

= 56 ways.

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9.5 or 9 1/2 inches per second in miles per hour is 0.5 .

What is conversion of units?
The process of translating measurements of a given quantity between different units, frequently using multiplicative conversion factors that change the value of the measured quantity without changing its effects, is known as unit conversion. The specific circumstances and the desired result dictate the conversion process. This may be governed by a regulation, contract, set of technical requirements, or other publicly available standards.

What is the conversion factor for inch to mile?
A value in inch when divided by 63360 gives a value in mile.

What is the conversion factor for second to hour?
A value in second when divided by 3600 gives a value in hour.

Given, the speed of Caroline in inches per second = 9 1/2 = 9.5/1 - (i)
Therefore following above literature and dividing numerator by 63360 and denominator by 3600, we get the speed in miles per second.
Thus, required speed = [9.5/63360]/[1/3600) = 0.539 = 0.5

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Each game played is independently won by team A with probability p, then team A will surely win the first game.

Given that one team leads 3 to 0, this would mean that in 3 trials, team A won all three games.

The probability of winning 3 out of 3 for team A is

P(A) = P3

The probability of winning 3 out of 3 for team B is

P(B) = (1-P)3

It is given that one of these two scenarios is the case, then the probability it is team A is:

P3/ (P3 + (1-P)3)

The probability that team A would win 0 of the next 4 games is

(1-P)4,

this means the probability that team A wins the series if they are up 3 to 0 is

1 - ( 1 - P ) 4

Similarly, if team A is to win every game, it is surely that they will win the first game.

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