1/2|x + 8| = |4x − 1|

Answer:

A

Step-by-step explanation:

The two sentences relate like They establish a contrast. As  American Sleep Disorders Association is considering the teenager sleep and adult sleep.

What is sleeping disorder?

Sleep Disorders are mostly common nowadays as people are more busy in their scheduling, they don't get proper and sufficient time to sleep. This creates many problems in the human body.

The common type of sleeping disorder are  insomnia, restless toughnesses' syndrome, narcolepsy and sleep apnea.

Thus, option A is correct.

For more details about sleeping disorder, click here:

The mean of a set of final scores from a recent outing is 50.77

Here,

A group of friends enjoys playing miniature golf together.

Here are a set of final scores from a recent outing:

39, 41, 44, 50, 54, 56, 56, 56, 61  

We have to find the mean.

What is Mean?

The mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

Now,

Set of final scores from a recent outing:

39, 41, 44, 50, 54, 56, 56, 56, 61

Then, Mean =  39 + 41 + 44 + 50 + 54 + 56 + 56 + 56 + 61 / 9

                   = 457/9

                   = 50.77

Hence,

The mean of a set of final scores from a recent outing is 50.77

Learn more about the mean visit:

https://brainly.com/question/1136789

#SPJ4

Answer:

the AED450

Step-by-step explanation:

I don't know what to say about my answer but I think it's just the best way to anwers

=50

Step-by-step explanation:

=1/2×100

=1×50

=50

Joe is going to [tex]12[/tex] minutes and [tex]18[/tex] seconds to ascend to the Sears tower's roof from street level.

Speed indicates how quickly something or someone is moving. Speed is calculated as follows: speed = distance * time. Following are the relationships between time, distance, and speed: Distance is directly related to speed and time. Time and speed are also negatively related. Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. Distance is the sum of an object's movements, regardless of direction. The flow of events from the past into the future is known as time. Time only ever moves in one way. Time can go either forward or backward, but not both.

To learn more about speed, time and distance, click here:

https://brainly.com/question/9834403

#SPJ4

Answer:

work is shown and pictured

Answer:

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation i2 = −1; every complex number can be expressed in the form a + bi, where a and b are real numbers. Because no real number satisfies the above equation, i was called an imaginary number by René Descartes. For the complex number a + bi, a is called the real part and b is called the imaginary part. The set of complex numbers is denoted by either of the symbols {\displaystyle \mathbb {C} }\mathbb {C} or C. Despite the historical nomenclature "imaginary", complex numbers are regarded in the mathematical sciences as just as "real" as the real numbers and are fundamental in many aspects of the scientific description of the natural world.[1][a]

Step-by-step explanation:

Answer:

iakajakakam kwokwmajsj kakajnsnsj wjjsjajsj sjsjjsjs

Step-by-step explanation:

The solution are-

(a) lim h (x) = -2

   x → -2⁻

(b) lim h (x) = -2

   x → -2⁺

(c) lim h (x) = -2

   x → -2

A limit describes the value which a function approaches as its inputs get increasingly closer to a certain number.

The concept of a limit is at the heart of all calculus.

(a) lim h (x) = -2

   x → -2⁻

Put x = 2 at the place of x in h(x).

This limit is called the left hand limit of the function as there is negative sign over 2.

(b) lim h (x) = -2

   x → -2⁺

Put x = 2 at the place of x in h(x).

This limit is called the right hand limit of the function as there is positive sign over 2.

(c) lim h (x) = -2

  x → -2

Put x = 2 at the place of x in h(x).

This limit exists just at x = 2.

To know more about the limits of the functions, here

https://brainly.com/question/23935467

#SPJ9

For given relations, relation (1) and relation (3) represent y as a function of x.

And relation (2) does not represent y as a function of x.

In this question, we have been given some relations.

We need to determine which relations represent y as a function of x.

We know that a relation is function when there is unique output for each input.

Consider the first relation.

y = -3.4x

For each value of x there's unique and distinct output. Here x can take any real value.

so, the above relation is a function.

Consider the second relation.

We can observe that, for x = 1 there are two outputs i.e., y = 1 and y = -1.

Similarly for x = 4, there are two outputs y = 2 and y = -2.

this means, the second relation is not a function.

Now, consider the last relation.

From this graph we can see that from x = -∞ to x = ∞, there are unique outputs.

So, above graph represents a function.

Also, by vertical line test, the graph represents a function.

Therefore, for given relations, relation (1) and relation (3) represent y as a function of x.

And relation (2) does not represent y as a function of x.

Learn more about the function here:

https://brainly.com/question/28278699

#SPJ1

Answer: x=12

Step-by-step explanation:

The range is: x-5

The mode is: 7

Hence,

x-5=7

x-5+5=7+5

x=12

The solution set of the inequality is the set of all real numbers larger than 5, written in interval form as (5, ∞)

Here we have a simple inequality:

x - 2 > 3

To solve this we need to isolate x in one side of the inequality.

Now, remember that we can do the same operation in both sides of the inequality. So, if we add in both sides the same number, then the truth value of the inequality does not change.

Then if we add 2 in both sides of the inequality we get:

x - 2 + 2 > 3 + 2

x  > 5

Then the solution set of the inequality is the set of all real numbers larger than 5, written in interval form as (5, ∞).

If you want to learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

Answer:

Each pencil costs $2

Step-by-step explanation:

3p + 6 = 12

3p = 6

p = 2

3 pencils for 2 dollars is 6 dollars, plus the 6 dollars he spent on a notebook, equals the 12 dollars he spent total.

Answer:

Step-by-step explanation:

3^2+4^ / 3-4 = -25

Applying the angle relationship, the measures of the angles are:

m<a = 126°

m<b = 54°

m<c = 126°

m<d = 54°

m<e = 126°

m<f = 54°

m<g = 126°

The diagram shows different angles that are formed when a transversal crosses two parallel lines. To find the measure of the missing angles, we would apply the angle relationship.

m<a = 180 - 54 [linear pair]

m<a = 126°

m<b = 54° [vertical angles pair]

m<c = m<a [vertical angles pair]

m<c = 126°

m<d = 54° [corresponding angles]

m<e = m<a [corresponding angles]

m<e = 126°

m<f = m<d [vertical angles pair]

m<f = 54°

m<g = m<e [vertical angles pair]

m<g = 126°

Therefore, applying the angle relationship, the measures of the angles are:

m<a = 126°

m<b = 54°

m<c = 126°

m<d = 54°

m<e = 126°

m<f = 54°

m<g = 126°

Learn more about angle relationship on:

https://brainly.com/question/12591450

#SPJ1

Answer: -118

Step-by-step explanation:

49^((1)/(2))- 25^((3)/(2))=

49^(1/2) -25^(3/2)=

7-25^((2+1)/2)=

7-25^((2/2)+(1/2))=

7-25^(1+1/2)=

7-25^(1) *25^(1/2)=

7-(25*5)=

7-125=-118

The equations ordered from the least to greatest is

y = (-3/4)x + 2

y - 3 = 1/2(x - 4)

3x - 4y = 7

y = 12(x - 19) + 5

From the question, we are to order the equations from least to greatest by the value of the slope

The given equations are

y = (-3/4)x + 2

3x - 4y = 7

y = 12(x - 19) + 5

y - 3 = 1/2(x - 4)

To determine the slopes of the line, we will compare the equations to the general form of the equation of a line

The general form of the equation of a line is

y = mx + b

Where m is the slope

and b is the y-intercept

By comparison,

m = -3/4

∴ Slope = -3/4

First, rearrange

3x - 7 = 4y

4y = 3x - 7

y = (3/4)x - 7/4

By comparison,

m = 3/4

∴ Slope = 3/4

First, simplify

y = 12x - 228 + 5

y = 12x - 223

By comparison,

m = 12

∴ Slope = 12

y - 3 = 1/2(x - 4)

First, simplify

y - 3= (1/2)x - 2

y = (1/2)x -2 + 3

y = (1/2)x + 1

By comparison,

m = 1/2

∴ Slope = 1/2

Now,

The slopes ordered from the least to greatest is

-3/4 < 1/2 < 3/4 < 12

Thus,

The equations ordered from the least to greatest is

y = (-3/4)x + 2

y - 3 = 1/2(x - 4)

3x - 4y = 7

y = 12(x - 19) + 5

Learn more on Order of equations here: https://brainly.com/question/9353038

#SPJ1

Answer: 6

Step-by-step explanation:

got it right

Answer:

True.

Step-by-step explanation:

(LHS) cos 6∘ cos 42∘ cos 66∘ cos 78∘

1/4 [cos(66∘+6∘) = cos(66∘-6∘)] • [cos(78∘+42∘)+cos(78∘-42∘)]

= 1/4(sin18∘+12)(-12+cos36∘)

[∵cos72∘ = cos(90∘−18∘) = sin18∘]

1/4[(5-√-1)/4+1/2][−1/2+(5-√+1)/4]

[∵sin(18∘ = (5-√-1)/4, and, cos 36∘ = (5-√+1)/4]

1/4(5-√+1)/4(5-√-1)/4 = (5-1)/64

= 4/64 = 1/16 (RHS)

Therefore, the cosine is equal to 1/16.

Answer:

A. No solution

Step-by-step explanation:

Please see attachment for the graph.

Hope this helps!

Please mark as brainliest if correct!

The equation has No Solution.

The points at which the lines representing the intersection of two linear equations are defined as the solution to a linear equation. In other words, the set of all possible values for the variables that satisfy the given linear equation is the solution set for the system of linear equations.

The set of linear equations can be solved in one of three ways

Unique Solution, No Solution and Infinitely Many Solutions.

Given equations

2x + 6y = 12

x   0    6  

y   2    0

6x + 18y = 18

x   0    3  

y   1    0

The graph of equations is attached,

for solution of equation,

we can find it by graph, the graph shows the parallel line for both equation since equations have No Solution.

The system of linear equations does not have a solution if the graphs of the linear equations are parallel. In this instance, there is no point at which lines do not cross.

Hence there is no solution for equations.

Learn more about solution of equation;

https://brainly.com/question/545403

#SPJ2

Answer: Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.

Step-by-step explanation:

A Taxi driver charges a flat rate = 7.25 dollars

taxi fare for 1 mile = 0.65 dollars

Suppose we consider Total money taxi driver can spend = 10 dollars

Let taxi driver travel x miles

Total charges = flat rate charge + taxi fare for each mile(distance) travelled

Find the value y = [?] + [?]x

suppose these two question marks indicate z1,z2

replace with y=10 and z1=1.75 and z2=0.65 values

Then y = [z1] + [z2]x

10 = 1.75 + 0.65(x)

0.65(x) = 10 - 1.75

0.65(x)= 8.25

x = 8.25/0.65

x = 12.7 miles

If Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.

Learn about more information https://brainly.in/question/33655852

#SPJ9

The price of carrots per ounce is $0.24 .

Ounce is an unit of mass in the Imperial System. It is widely used throughout the world and is one of the oldest units of measurement to still exist. The unit ounce is derived from uncia, a unit of measurement in roman times.

The ounce(abbreviated oz) is equal to approximately 28.35 grams and 16 ounces make up a pound.

Now it is given that a 2-pound bag of carrots cost $7.68 .

Therefore price per pound of carrots=$7.68÷2

Price per pound=$ 3.84 .

Now we know that 16 ounces make up a pound.

Price of carrots per ounce=  $3.84 ÷16

Price per ounce=  $ 0.24

Therefore the price of carrots per ounce is $0.24

To learn more about price per ounce:

https://brainly.com/question/14345624

#SPJ9

There are 5354 people were in the arena.

Percentage:

The term percentage is referred as a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

The formula for calculating the percentage is,

Percentage = (Actual value/Total value) x 100

Given,

Here we have that, 4550 men in the arena comprised 85% of the people in the arena.

Now we need to find how many people were in the arena.

Let p be the number of people in Arena.

So, based on the percentage formula,

It can be written as,

=> 85% = (4550 / p) x 100

=> 85/100 = 4550 /p

=> 0.85 = 4550/p

=> 4550/0.85 = p

=> p = 5354

Therefore, there are 5354 people were in the arena.

To know more about Percentage here.

https://brainly.com/question/28269290

#SPJ4

Answer: car a must be meet to cannot be so your aner is a

Step-by-step explanation:

Answer:

The absolute value of a number is the distance between the number and zero on a number line. Every number and it opposite are the same distance from zero on the number line.

Answer:

1. right

2. obtuse

Step-by-step explanation:

Answer:

Acute and obtuse

Step-by-step explanation:

The first picture is acute as the angle is less than 90 and the second picture is obtuse as the angle is greater than 90 but less than 180.