Help please? Which are the following key feature are the same for both functions.

As a result, x = pi/6 is the only answer in the range [0,2pi).

When quantifying the angles of trigonometry or periodic functions, radians are frequently taken into account. Radians are always expressed in units of pi, with pi equivalent to either 3.14 or 22/7.

We can start by simplifying the left-hand side of the equation using the identity:

csc x = 1/sin x

4 sec x csc x = 4(1/cos x)(1/sin x) = 4/(cos x sin x)

Substituting this back into the original equation, we get:

4/(cos x sin x) = 8 csc x

Multiplying both sides by cos x sin x, we get:

4 = 8 sin x

Dividing both sides by 8, we get:

sin x = 1/2

This means that x is either pi/6 or 5pi/6, since these are the two angles in the interval [0,2pi) where sin x = 1/2.

However, we need to check if these solutions satisfy the original equation.

For x = pi/6:

4 sec x csc x = 4 sec(pi/6) csc(pi/6) = 4(2) (2/√3) = 16/√3

8 csc x = 8 csc(pi/6) = 8(2/√3) = 16/√3

So, x = pi/6 is a solution.

For x = 5pi/6:

4 sec x csc x = 4 sec(5pi/6) csc(5pi/6) = 4(-2) (-2/√3) = 16/√3

8 csc x = 8 csc(5pi/6) = 8(-2/√3) = -16/√3

So, x = 5pi/6 is not a solution.

Therefore, the only solution in the interval [0,2pi) is x = pi/6.

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To solve problems with integers, first, you must identify which operation you need to  first then, you need to think about which mathematical operations you need to use.

What is integers ?

Integers are a set of whole numbers that include both positive and negative numbers, as well as zero. Integers can be represented on a number line that extends infinitely in both directions.

To solve problems with integers, you need to understand the basic operations such as addition, subtraction, multiplication, and division. You also need to know the rules and properties of integers, such as the commutative, associative, and distributive properties, as well as the rules for adding, subtracting, multiplying, and dividing positive and negative integers.

When solving a problem with integers, you should first identify which operation you need to perform first based on the order of operations. This order is typically remembered with the acronym PEMDAS (parentheses, exponents, multiplication and division, and addition and subtraction). Once you have identified the operation, you can use the appropriate mathematical technique to solve the problem.

Therefore, to solve problems with integers, first, you must identify which operation you need to  first then, you need to think about which mathematical operations you need to use.

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Answer:

the frequency of someone interru

Step-by-step explanation:

The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.

Even if the label "unwanted" is arbitrary, some sounds are frequently regarded as noise. A sound pressure level, expressed in decibels, is used to measure or anticipate noise (dB).

here, we have,

The measurements and noise meter used depend on the application; different noise metrics can account for magnitude, frequency, and time in different ways.

and, we have,

Another illustration is workplace noise, where the effect of noise on hearing loss is of utmost importance.

To offer a degree of exposure that can be associated to the possibility of hearing loss in employees exposed to the sound during the course of exposure, both the intensity and duration of sound are combined.

Hence, The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.

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Complete question:

ivan is trying to understand the concern of an angry customer, but several employees keep interrupting the conversion. these interruptions are an example of

The area of the irregular room is  82.5 ft²

It is important to note that the area of a triangle is represented with the formula

A = 1/2bh

Given that;

From the image shown, we have that;

Area of the figure = sum of the areas of the two triangle

This represented as;

Area = 1/2 × 14(6) + 1/2 × 9(9)

expand the brackets

Area = 1/2 (84) + 1/2(81)

divide the values

Area = 42 + 40. 5

Add the values

Area = 82.5 ft²

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The cost for 17 computers, 18 printers, 5 DVDs, and 30 CDs would be around $12,125.

Cost is the amount of money or resources that must be exchanged for goods, services, or activities. It is typically associated with the purchase of goods and services and related to production, labor, and other expenses. Cost is a crucial factor in business operations, as it affects both the budget and the profitability of any venture. In addition to monetary costs, businesses may also incur opportunity costs, which are the costs associated with foregoing alternative investments or activities.

The cost of 17 computers, 18 printers, 5 DVDs, and 30 CDs would depend heavily on the type, brand, and quality of the items being purchased. However, an estimate of the cost of these items can be made.

Computers can range from $200 to $2,000, depending on the type and specs. An average cost for 17 computers would be around $10,000. Printers can range from $50 to $500, depending on the type and specs. An average cost for 18 printers would be around $2,000. DVDs can range from $2 to $25, depending on the type and specs. An average cost for 5 DVDs would be around $50. CDs can range from $1 to $10, depending on the type and specs. An average cost for 30 CDs would be around $75.

In total, the cost for 17 computers, 18 printers, 5 DVDs, and 30 CDs would be around $12,125.

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Answer:

a. 480       Then 384

b. 845       Then 591.5
c. 1,189      Then 653.95
d. 153.75   Then 149.90625
e. 315        Then 299.25

f. 430.5     Then 419.7375

cot (-859°) can be expressed as cot 41° an acute angle which is less than 45°

Trigonometry is used in navigation directions. Estimate the direction you need to place your compass to get a straight line. With the help of a compass and navigation trigonometric functions, it's easy to find a place or find the distance to see the horizon. 

A  Mathematical Statement which contains numbers and variables.

Angle: The two straight lines meeting at the vertex(a common point)

According to the question:

cot (-859) can be expressed as:

cot (-859 + 360x2)= cot (-859 +720)= cot (139)= cot (180 -139)= cot 41°(or)cot(-859) = cot(-859 + 180°x5)= cot (859 +900)= cot (41)°

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1. A point less than 1 in Katrina's number line is [tex]\frac{3}{8}[/tex]

2. A point greater than 1 in Eric's number line is 1[tex]\frac{1}{4}[/tex]          

A number line is a straight line with numbers placed at equal distances from each other.

To identify a line less than 1 in a number line divided into 8, we need to know the value of what each point would be

Each values in Katrina's number line should be 0, [tex]\frac{1}{8}[/tex], [tex]\frac{2}{8}[/tex] , [tex]\frac{3}{8}[/tex],  [tex]\frac{4}{8}[/tex],  [tex]\frac{5}{8}[/tex],  [tex]\frac{6}{8}[/tex],  [tex]\frac{7}{8}[/tex]  1

To identify the line greater than 1 in a number line divided into 4, we need to know the values of what each points would be

Each values in Eric's number line should be 1, 1[tex]\frac{1}{4}[/tex], 1[tex]\frac{2}{4}[/tex], 1[tex]\frac{3}{4}[/tex], 2

Check the images below to get a proper view of how your number line should look like.

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Answer: y = 4/3x+1

Step-by-step explanation:

Answer:

y=4/3 + 1

Step-by-step explanation:

There are different ways to do this for finding slope, you can use the formula or you can do rise over run. How to find rise over run you count how many places up so our current place is (-3,-3) and we are trying to find (3,5) so if you were to start with rise, you rise 8 places then run you go either left or right in our case right, you move 6 places.  So our fraction would be 8/6 or simplified 4/3. But using the formula to make sure we got the right answer, our formula is y2-y1/x2-x1 so that would look like 5- -3/3- -3. To solve on our top side two negatives give us a positive so the top is 8 and then bottom is 6 so we get 8/6 or 4/3. But our slope intercept would be y= 4/3x +1.

In response to the given question, we have that The baseball takes 3 function seconds to reach its highest point as a result.

Mathematicians research numbers, their variants, equations, associated structures, forms, and possible configurations of these. The word "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is a connection between inputs and outputs where each input results in a single, distinct outcome. Each function has a domain, codomain, or scope assigned to it. Functions are usually denoted by the letter f. (x). An x is entered. On functions, one-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.

The formula for the height of the baseball is [tex]h(t) = -4.9t2 + 29.4t + 1.[/tex]

A = -4.9 and B = 29.4 in this instance. The vertex's x-coordinate is as follows:

[tex]x = -b/2a = -29.4/(2*(-4.9)) = 3[/tex]

We need to assess h(3) in order to determine the maximum height:

[tex]h(3) = -4.9(3)^2 + 29.4(3) + 1 = 44.1[/tex]

Hence, the baseball may reach a height of up to 44.1 metres.

The x-coordinate of the vertex, which we discovered to be 3, may be used to determine how long it takes the baseball to reach its maximum height. The baseball takes 3 seconds to reach its highest point as a result.

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The number of touchdowns scored by the defense of the professional football team in the season was C. 10 touchdowns.

The team scored a total of 242 points, and the defense scored about 24% of those points, which is:

0.24 x 242 = 58.08

This means that the defense scored approximately 58 points during the season. If a touchdown is worth 6 points, we can find the number of touchdowns scored by the defense by dividing the total number of points scored by 6:

58 / 6 = 9.67

So the defense scored approximately 9.67 touchdowns during the season. Since we can't have a fraction of a touchdown, the closest whole number answer would be 10 touchdowns.

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We have the following response after answering the given question: equation Hence, there are 22/45 female students at the dance.

In a mathematical equation, the equals sign (=), which connects two claims and denotes equality, is utilised. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a space. Mathematical expressions can be used to describe the relationship between the two sentences on either side of a letter. The logo and the particular piece of software frequently correspond. like, for instance, 2x - 4 = 2.

Now, let's determine how many boys and females attend each school:

Middle School in Colfax

Boys: (5/9) * 270 = 150

Girls: (4/9) * 270 = 120

School in Winthrop:

Boys: (4/9) * 180 = 80

Girls: (5/9) * 180 = 100

Now, we can determine how many males and girls attended the dance overall:

Boys: 150 + 80 = 230

Girls: 120 + 100 = 220

Thus, the proportion of female students attending the dance is:

220 / (230 + 220) = 220 / 450 = 44/90 = 22/45

Hence, there are 22/45 female students at the dance.

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Answer:

[tex]3[/tex]×[tex]5[/tex][tex]=15[/tex]

[tex]15+1=16[/tex]

Looking at the table again, we can see that f(4) is -6. Thus, f (g(2)) is -6.

Value is the worth of something, based on its importance, usefulness, or desirability. It is something that has a desired quality, such as excellence, utility, or desirability. Value can be physical, such as a commodity, or intangible, such as respect, loyalty, or knowledge. Value is determined by both the individual and the society in which they live. Value can be assigned to both tangible and intangible things, such as a house, an education, or a friendship. Value is a subjective measure and can vary greatly from person to person.

The answer is -6. To evaluate f (g(2)), we need to determine what g(2) is first. Looking at the table, we can see that g(2) is 4. Therefore, we need to find the value of f(4). Looking at the table again, we can see that f(4) is -6. Thus, f (g(2)) is -6.

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Answer:

the expression

y -7/x-5 = 1/3 or 2/6

Step-by-step explanation:

Cross multiplying both sides:

3(y-7) = x - 5

3y - 21 = x - 5

3y - x = 21 - 5

3y - x = 16

The simplified equation is 3y-x=16.

Therefore, the likelihood of a thunderstorm is roughly 0.2174, or a 21.74% chance that one will occur.

The study of random events or phenomena falls under the category of probability, which is a branch of mathematics. It is a way to quantify the possibility or likelihood of an event happening. A number between 0 and 1, where 0 denotes an improbable occurrence and 1 denotes a certain event, is used to express probability. By dividing the number of favorable outcomes by the total number of possible outcomes, one can determine the probability of an occurrence. In many disciplines, including statistics, economics, engineering, and science, probability is used to make predictions and well-informed choices in uncertain situations.

given

We must divide the amount of beneficial outcomes (chances of a thunderstorm) by the total number of possible outcomes in order to express the suggested degree of likelihood as a probability value between 0 and 1 inclusive.

When the likelihood of a thunderstorm is stated as "5 in 23," it indicates that out of a possible 23, 5 outcomes are likely to be favorable.

Therefore, the likelihood of a rainstorm is:

P (thunderstorm) is the ratio of the number of successful outcomes to all other possible outcomes.

Thunderstorm P(thunder) = 5 / 23

As a result, the probability value for the indicated degree of likelihood can be expressed as:

P(thunderstorm)= 5/230.2174

Therefore, the likelihood of a thunderstorm is roughly 0.2174, or a 21.74% chance that one will occur.

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The correct statements regarding the translation are given as follows:

A translation changes only the position of the figure, keeping angle measures and orientation correct, hence the second and the third options are correct.

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The algebraic expressions for the given questions are found as:

1) g/4 + 15.

2) 6 - y + 3

3) d * 8

What are algebraic expressions?

A mathematical expression made up of variables, constant algebraic numbers, and algebraic operations are known as an algebraic expression. Everything with a variable value is anything whose value changes over time. Variables in expressions are often represented by letters of the alphabet. Finding the simplified term of the given expression is the goal of simplifying the algebraic expression. We must first understand how to join like terms, factor a number, and the order of operations before we can factorise or simplify the expression. When like terms are combined, the constant terms are divided for the purpose of simplicity and the variables with the same degree are grouped together.

1) The quotient of g and 4 is given by g/4.

Now, this is added to 15.

So the algebraic expression is g/4 + 15.

2) The difference between y and 3 is y - 3.

Now from 6, this difference is subtracted.

So the expression becomes,

6 - (y-3) = 6 - y + 3

3) The product of two numbers is found by multiplying the numbers.

  So the expression is :

      d * 8

Therefore the algebraic expressions for the given questions are found according to the given statements.

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Answer:

6.25 seconds

Step-by-step explanation:

Using the the equation

h = 100t − 16t^2

The ball hits the ground, when h = 0, solving below equation:

100t − 16t^2 = 0

4t(25 - 4t) = 0

t = 0 seconds, this is the starting point when ball was hit

25 - 4t = 0 ⇒ 4t = 25 ⇒ t= 25/4 = 6.25 seconds later the ball hits the ground

In a linear equation, The number of rest stops in the first 200 miles would be 8 or more.  

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                    Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

25x > 200

25       25

x > 8

The number of rest stops in the first 200 miles would be 8 or more.  

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We may calculate the distance from Carlos and the tree as [tex]D = 781.23[/tex] ft using trigonometric relationships.

Many functions in trigonometry offer excellent illustrations of how calculus may be used in practical situations. By the way, basic trigonometry primarily deals with the algebraic features of circular functions, therefore basic calculus is not always simpler than basic trigonometry. On the other hand, calculus is fundamentally non-algebraic in nature.

The mnemonic SOHCAHTOA makes it simple for us to recall the three primary trigonometric ratios.

Then one of the cathetus of the triangle is equal to:

[tex]275ft - 6ft = 269ft[/tex]

That cathetus is the opposite cathetus to the angle of 19° (the elevation angle). And the adjacent cathetus is the distance between Carlos and the tree.

Then we can use the relation:

Where:

[tex]a=19^{0}[/tex]

opposite cathetus [tex]=269ft[/tex]

adjacent cathetus [tex]=D[/tex]

Replacing that, we get

[tex]tan(19^{0} ) = 269ft/D[/tex]

Solving for D, we get:

[tex]D = 269ft/tan(19^{0} ) = 781.2ft[/tex]

So we conclude that Carlos is at [tex]781.23[/tex] ft of the tree.

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By solving the equation we know that the correct value of (D) x is 4.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

The four mathematical operations of addition, subtraction, multiplication, and division are also used in simple equations, either singly or in combination.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the value of the variable x is 7.

So, solve for the given equation:

|-4+5x|=16

5x - 4 = 16

Now, by looking at the equation we can tell that the value of x needs to be 4 as follows:

5x - 4 = 16

5(4) - 4 = 16

20 - 4 = 16

16 = 16

Therefore, by solving the equation we know that the correct value of (D) x is 4.

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Complete question:

Solve : select all answers that applies

|-4+5x|=16

A. x= -11

B. x = -12/5

C. x= 4/5

D. x= 4

E. x = 3/4

Answer:

D. (1, 3)

Step-by-step explanation:

The solution is the coordinates of the intersection of the 2 lines

Using a protractor and a ruler we drew a triangle with a side length of 4 inches that is between angles of 50 and 65 as shown in the figure.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. The total of a triangle's three sides is the perimeter of the triangle. The space a triangle occupies is known as its area. The area is obtained by taking half of the product of base and altitude.

Now we are asked to draw a triangle with a side length of 4 inches that is between angles of 50° and 65°.

First, let us mark the 50° angle.

Draw a straight line of 4 inches using the ruler as the base.

Keep the protractor on top at one of the ends of the line.

Mark the 50° angle.

Draw a straight line passing through the marked point using the ruler.

Now move the protractor to the other end of the line.

Mark the angle 65°.

Draw a straight line passing through the marked point using the ruler until it meets the 50° angle line.

This is a triangle with angles of 50 and 65 degrees.

Therefore, using a protractor and a ruler we drew a triangle with a side length of 4 inches that is between angles of 50 and 65 as shown in the figure.

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The charge for the third company for the 8 feet of copper pipe as required to be determined is; $8.50.

As evident from the task content;

For the first company; Pipe for $1.50 per foot and a rebate offering $2.00 off the total.

Therefore, total charge is; 8(1.50) - 2 = $10.

For the second company; Pipe for $1.75 per foot and a coupon offering $0.25 off each foot.

Therefore, total charge is 8(1.75) - 8(0.25) = $12.

Hence, since the better deal is; $10.

Ultimately, the charge of the third company whose offer is; $1.50 less than the charge of the better deal is; 10 - 1.50 = $8.50.

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Answer: 112 business cards

Step-by-step explanation:

    We will divide the number of business cards by the number of days cards were handed out to see how many cards were handed out per day.

5,376 cards / 48 days = 112 business cards

Answer:

Have a good day and time and I6ykjjuu7ttggfszd to the 5tjyyv

Answer:

(f-g)(x) = -5x^3 + 8x - 8.

(f-g)(-2) = 16.

Step-by-step explanation:

To find (f-g)(x), we need to subtract g(x) from f(x) and simplify:

(f-g)(x) = f(x) - g(x)

= (-5x^3 - 4x^2 + 8x) - (-4x^2 + 8)

= -5x^3 - 4x^2 + 8x + 4x^2 - 8

= -5x^3 + 8x - 8

Therefore, (f-g)(x) = -5x^3 + 8x - 8.

To find (f-g)(-2), we substitute x = -2 into the expression we just found:

(f-g)(-2) = -5(-2)^3 + 8(-2) - 8

= -5(-8) - 16 - 8

= 40 - 24

= 16

Therefore, (f-g)(-2) = 16.

Answer:

b,c,e

Step-by-step explanation: a: 5+0=5

b:15x0 =0

c: 1.4+2.7=4.1

d:2/3 x 5/9

e:4& 2/3 =5-1/3