What is the domain of f(x)?
(-6 , 6)
[-4 , 5]
[-6 , 6]
(-4 , 5)

Probability that the person selected at random from the sport centre of 125 people is a fraction of 1/4 or 0.25.

The probability of an event is the fraction of the required number of outcome divided by the number of possible outcomes.

We shall determine the answer to the question as follows;

People in the sport centre = 125

People who used the 3 facilities = 6

People who accessed only gym = 59 - (6 + 11 + 19) = 26

People who accessed only track event = 55 - (6 + 11 + 24) = 14

People who accessed only swimming pool event = 70 - (6 + 19 + 24) = 21

People who accessed only gym and swimming pool events = 29 - 6 = 19

People who accessed only gym and track events = 17 - 6 = 11

People who accessed only swimming pool and track events = 30 - 6 = 24

Total number of people who accessed at least any one of the facilities = 121

The number of people who did not access any of the facility = 125 - 121 = 4, which is the number of possible outcomes for our required outcome.

Therefore, the probability that the person selected doesn't use any facility = 1/4

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Solution for the given Inequality

x > 6 : (6 , 11), (5 , 10)

y < 2x: (8, 12), (6, 11), (7,10), (5, 10), (8, 10), (9,12)

What is Inequality?

Inequality of wealth in major cities Economic inequality comes in many forms, most notably wealth inequality measured by the distribution of wealth and income inequality measured by the distribution of income.

Let us study each inequality and find the right solutions

∵ x > 6

∴ The x-coordinates of the points are 7,8,9

- That means answer A and D is out because its x-coordinate not greater

 than 6 ⇒ (6 , 11), (5 , 10),

∵ y < 2x

∴ The y-coordinates of the points are 10,11,12

- That means all are answers because y-coordinates is

not greater than 2x ⇒  (8, 12), (6, 11), (7,10), (5, 10), (8, 10), (9,12)

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Answer:96

Step-by-step explanation: Answer is 96 because you can do 16 times 3 which is 48 so for the fifth seat to the end will be 96 ways.

Hope this helps! :)

Answer:

3(x-5) =3x - x - 8

3x-15 = 2x - 8

3x-2x= -8+15

x=7

Step-by-step explanation:

first 3 will multiply by x and -5,which are in bracet like this

                                         3(x-5)= 3x - x -8

after they would became 3x-15 = 2x (because 3x will be subtracted by x) -8

                                           so it will become like this

                                             3x-15=2x-8

after that 3x will be subtracted by 2x like this 3x-2x and -8 will be add in +15 so it would be

                                    x=7

1) According to the exponent's law, any exponent whose base is 1, that yields 1. For example

2) The same does not happen to 0.1

Since 0.1 is a fraction, we'll raise to the 4th power 1 and 10 simultaneously, as a ratio.

3) So the answer is

The given equation is expressed as

hello

to solve this question, we just have to find the expression that is equal to 4b

option A

option a is incorrect

let's look at option B

option B is correct

and finally option C

option C is correct

from the calculations above, option B and C are the right answers

The area of the region consisting of all the points Charlyn can see during her walk is equal to, A = 4840 km.

Charlyn is walking around the boundary of square A, which is 55 km long, and she has a horizontal vision of 11 km.

So as she walks around the square of 55 km, let there be another square B which lies outside square A, which is created due to her 11 km field of vision.

length of sides of square B = 55+(2×11) which is equal to 77 km.

And as she walks around the square of 55 km, let there be yet another square C which lies inside square A, which is created due to her 11 km field of vision.

length of sides of square C = 55-(2×11) which is equal to 33 km.

The area that Charlyn can see throughout her walk is equal to,

A = Area of square B - Area of square C.

The area of square B = Side² = 77² = 5929.

The area of square C = Side² = 33² = 1089.

A = 5929 - 1089.

A = 4840 km.

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By using proportions, it is discovered that each favor costs $5.

Using the rule of three and proportions, this problem can be resolved.

The party's price is increased by $40 with the addition of 8 favors.

A proportion is an equation that sets two ratios at the same value.

Using the rule of three and proportions, this problem can be resolved.

The party's price is increased by $40 with the addition of 8 favors.

The threes rule states:

$40 for 8 favors

$1 for 1 favor

Cross-multiplication application

8x=40

x= 40/8

x = 5

There is a $5 fee for each favor.

A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4).

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Part a

The domain is the set of x-values, which is [tex](-\infty, \infty)[/tex].

Part b

The range is the set of y-values, which is [tex](-\infty, \infty)[/tex].

Part c

As [tex]x \to \infty[/tex], [tex]y \to \infty[/tex], and as [tex]x \to -\infty[/tex], [tex]y \to -\infty[/tex].

Part d

The y-intercept is when x=0, which is [tex](0, 1)[/tex].

Part e

The function is increasing when y increases as x increases, which is true for this function.

Answer:

There was a 48% increase from last year.

Step-by-step explanation:

Last year the debate club had 25 members. This year there are 37 members in the club. Estimate the percent change in the number of club members.

= (37 - 25) / 25

= -12 / 25

= 0.48 or 48%

There was a 48% increase from last year.

check:

25 * 1.48 = 37

If:

so:

Or:

0.32 liters

(b)

We need to find the volume of the rectangular prism, therefore:

However, we need to express the volume in liters, so:

Since we need to know the amount of mango juice:

Answer:

=====================

Total number of marbles:

Probability of selecting a blue marble:

Probability of  selecting a black marble after replacing the blue:

Probability of selecting blue and black marbles in same order with replacement:

Answer:

49.5ft³

Step-by-step explanation:

If it is 2 ft more than 3 times as long as it is wide then:

l = 3w + 2

which means:

w = (l-2)/3

and:

d = 1/2((l-2)/3)

Now just substitute in 11 for l

w = (11 - 2)/3

w = 9/3

w = 3

d = 1/2((11-2)/3)

d = 1/2(9/3)

d = 1/2(3)

d = 1.5

So the total volume is:

11 * 3 * 1.5

49.5

When the expression (m²/³ n⁻¹/³)⁵ is rewritten, the equivalent expression is   ∛m¹⁰n⁻⁵

From the question, the expression is given as

(m2/3n-1/3)^5

Rewrite the expression properly

So, we have the following representation

(m²/³ n⁻¹/³)⁵

Express the radicals as roots

So, we have

(m²/³ n⁻¹/³)⁵ = (∛m² ∛n⁻¹)⁵

Remove the brackets in the expression

This is done by multiplying the exponents

So, we have

(m²/³ n⁻¹/³)⁵ = (∛m¹⁰ ∛n⁻⁵)

Combine the roots

(m²/³ n⁻¹/³)⁵ = ∛m¹⁰n⁻⁵

Hence, the equivalent expression is  ∛m¹⁰n⁻⁵

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The required simplified expression is given as ∛[m¹⁰/n⁵].

Given that,
For an expression (m²/³n-¹/³)⁵ we have to deduce the function that the solution only consists of the positive integer exponents.

Here,
Rewriting the given expression,
= (m²/³n-¹/³)⁵
Simplifying the expression,
using the property, (xᵃ)ᵇ = xᵃᵇ
= m¹⁰/³n⁻⁵/³
= [m¹⁰n⁻⁵]¹/³
we imply cube root for the exponent 1/3.
= ∛[m¹⁰n⁻⁵]
= ∛[m¹⁰/n⁵]   (using the property x⁻¹ = 1 / x )

Thus, the required simplified expression is given as ∛[m¹⁰/n⁵].

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Answer:

  $16.90 per hour

Step-by-step explanation:

You want the hourly wage Taylor earned when she worked 20 hours for $338.00.

To find dollars per hour, divide dollars by hours:

  $338.00/(20 h) = $16.90/h

Taylor earned $16.90 per hour.

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Answer:

No questions are shown.  See attached graph for more details.

Step-by-step explanation:

See attachment

If two lines are parallel, then they have the same slope.

If two lines are perpendicular, then the slope of one line is the negative reciprocal of the other line.

The equation of a given line is expressed as

y = mx + b

Where

m represents slope

c represents y intercept

Considering the first equa

Answer: b=13

Step-by-step explanation:

b=39/3

b=13

Answer:  its 13  

Step-by-step explanation

The inequality representing d, the total number of days is 76.5d + 24 ≤ 330

From the question, the given parameters are:

Charges per day = $76.50

Charges per mile = $0.06

This means that the equation that represents the total charges for d days is

Total = Charges per day x Number of days + Charges per mile x Number of miles

So, we have

Total = 76.5 x d + 0.06 x m

Where m represents the number of miles

From the question, we have

This means that

m = 400 and Total ≤ 330

So, we have

76.5 x d + 0.06 x 400 ≤ 330

Solve

76.5 x d + 24 ≤ 330

This gives

76.5d + 24 ≤ 330

Hence, the inequality that represents the scenario is 76.5d + 24 ≤ 330

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Given:

Price of chair = $320

Price of lamp = $55

Total cost of furniture Greg purchased is = $320 + $55 = $375

Since the store charges a 7% sales tax, it means the amount Greg paid in tax is

7% of Total cost of furniture purchased.

Thus, the amount Greg paid in tax is:

The amount Greg paid in tax

The most appropriate choice for perimeter of a shape will be given by-

UT = 19 ft

ST = 19 ft

RS = 19 ft

UR = 19 ft

What is perimeter of a shape?

Perimeter of a shape is the length of the boundary of the shape.

It is obtained by taking the sum of all the length of the boundary.

Here,

UT = (25 - x) ft

ST = (3x + 1) ft

RS = (13 + x) ft

UR = (4x - 5) ft

Perimeter = UT + ST + RS + UR

                = (25 - x + 3x + 1  + 13 + x +4x -5) ft

                = (7x + 34) ft

By the problem,

[tex]7x +34 =76\\7x = 76 -34\\7x = 42\\x = \frac{42}{7}\\x =6[/tex]

UT = [tex]25 - 6[/tex] = [tex]19[/tex] ft

ST = [tex]3 \times 6 + 1[/tex] = [tex]19[/tex] ft

RS = [tex]13 + 6 = 19[/tex] ft

UR = [tex]4\times 6 - 5[/tex] = 19 ft

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The maximum number of chairs that can be made will be the minimum of 12, 15, and 11. That exists, 11 chairs can be made, limited by the number of available legs.

The study of probabilities, which are determined by the ratio of favorable occurrences to probable cases, is known as probability.

The maximum number of chairs that can be made will be the minimum of the number of parts divided by the number of parts required for each chair, as calculated across the various types of parts required.

seats: 12 available, used 1 per chair: 12/1 = 12 chairs possible

backs: 15 available, used 1 per chair: 15/1 = 15 chairs possible

legs: 44 available, used 4 per chair: 44/4 = 11 chairs possible

The maximum number of chairs that can be made will be the minimum of 12, 15, and 11. That exists, 11 chairs can be made, limited by the number of available legs.

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The rate at which the area is increasing is 95cm/sec² .

Let us take the variable a to be the length of the rectangle and take the variable to b be the width of the rectangle.

We know that the area of the rectangle is given by A=a × b

Now differentiating with respect to t we get :

[tex]\frac{dA}{dt} = w\times\frac{da}{dt} +l\times\frac{db}{dt}[/tex]

Substituting the values we get that the rate of increase in the area is :

Rate of increase = (32 + 63) cm/sec² = 95 cm/sec²

A constant function is also regarded as linear in this sense because it is a polynomial of degree zero, or the zero polynomial.

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Answer:

y = 3x + 20

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 )

y = 3x + 5 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

to find c substitute (- 8, - 4 ) into the partial equation

- 4 = - 24 + c ⇒ c = - 4 + 24 = 20

y = 3x + 20 ← equation of parallel line

Answer:

Step-by-step explanation: From the given point,

The line is: -8x-4y=0

           viz, 2x+y=0

Answer:

1 2/5

Step-by-step explanation:

Improper Fraction - A fraction that has a numerator that is larger than the denominator

Mixed Fraction - A fraction with a whole number, or a quotient with its remainder

In order to convert improper fractions to mixed fractions, you must divide the numerator by the denominator.

So, 7/5 = 7 ÷ 5 = 1 2/5

The quotient being 1, and the remainder being 2/5 because there is 2 left out of the 5.

Answer:

Step-by-step explanation: