Help please with trigonometry hw please

The level of measurement used in the classification is ordinal.

Ordinal levels of measurement group variables into categories like nominal scales, but also convey the order of the variables. For example, rate pain on a scale of 1 to 5, or classify income as high, medium, or low.

An ordinal scale is a second-level measure that indicates the ranking and order of data without actually specifying the degree of variation among the data. The order measurement level is his second of the four measurement scales. "Ordinal" means "order".

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Linear equations are equation that has a degree of 1. The solution to the given linear equation is 4/5

Linear equations are equation that has a degree of 1

Given the linear equation expressed as
4b + 6 = 2 - b

Collect the like terms

4b +b = 2- 6

5b = -4

Divide both sides by 5

b = 4/5

Hence the solution to the given linear equation is 4/5

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Answer:

b= 0 (option B)

The length of the hypotenuse is 13 cm.

Let's denote the shorter leg of the right triangle as "x" cm.

According to the given information, the longer leg is 7 cm more than the shorter leg, so its length is "x + 7" cm.

The hypotenuse is 3 cm more than twice the length of the shorter leg, so its length is "2x + 3" cm.

Using the Pythagorean theorem, we can set up the equation:

(shorter leg)^2 + (longer leg)^2 = (hypotenuse)^2

Plugging in the values:

x^2 + (x + 7)^2 = (2x + 3)^2

Expanding and simplifying:

x^2 + x^2 + 14x + 49 = 4x^2 + 12x + 9

Rearranging and simplifying further:

0 = 2x^2 - 2x - 40

Dividing both sides by 2:

x^2 - x - 20 = 0

Factoring the quadratic equation:

(x - 5)(x + 4) = 0

Setting each factor equal to zero:

x - 5 = 0 or x + 4 = 0

Solving for x:

x = 5 or x = -4

Since the length of a side cannot be negative, we discard the solution x = -4.

Therefore, the shorter leg of the right triangle is 5 cm.

To find the length of the hypotenuse, we substitute the value of x into the equation for the hypotenuse:

hypotenuse = 2x + 3 = 2(5) + 3 = 10 + 3 = 13 cm

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Answer:

5-3x=7

Step-by-step explanation:

X u y = {z l z ∈ x or z ∈ y} is a valid set builder notation. Yes, this is a valid set builder notation. This specifies the elements of the set.

A set builder notation is a way of expressing a set using a description of its elements. In this particular set builder notation, the set consists of all elements that are either in set x or set y.

The notation is written as {z l z ∈ x or z ∈ y}, where the curly braces denote the set and the statement "z ∈ x or z ∈ y" specifies the elements of the set. This is a valid set builder notation because it correctly expresses the elements of the set.

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Answer:

8 feet

Step-by-step explanation:

w = width

2s = length

Find 'w' by multiplying the new dimensions:

(w+5)(2w+3) = 2w² + 3w + 10w + 15 = 99

simplify:

2w² + 13w - 84 = 0

Factor:

(2w + 21)(w - 4) = 0

w = -21/2   ** disregard because a measurement cannot be negative **

w = 4

original width was 4

orginal length was twice 4 or 8 feet

The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is \(y=-\frac{3}{4}x-17\)

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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The value of x is 65. Please note that this solution is based on the assumption that the angles QRP and PSQ are supplementary. If this assumption doesn't hold, feel free to let me know.

We need to find the value of x in the equation ZQRP = (2x + 20)° given that ZPSQ = 30°. Since the question doesn't provide enough information about the relationship between angles QRP and PSQ, I'll assume that they are supplementary angles (angles that add up to 180°). This assumption is based on the possibility that the angles form a straight line or a linear pair.

If angles QRP and PSQ are supplementary, their sum is 180°:

(2x + 20)° + 30° = 180°

Now, we can solve for x:

2x + 50 = 180

Subtract 50 from both sides:

2x = 130

Divide by 2:

x = 65

After solving the given equations the answer is an Infinite solution. Hence, option A is correct

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

8 + 4x = 2x + 8 + 2x

Firstly, let's write the given equation in a simplified manner,

8 + 4x = 8 + 4x  

As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.

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The metric system contains seven fundamental units of measure. The seven base units of measure in the metric system are length, mass, time, electric current, temperature, luminous intensity, and amount of substance.

These base units are used to measure different types of physical quantities in the metric system.What is the metric system?The metric system is a measuring system that is used throughout the world, and it is based on the decimal system. I

t is easy to use because it is based on powers of ten. This means that each unit is ten times larger than the previous unit and ten times smaller than the next unit.The International System of Units (SI), also known as the metric system, is a globally accepted system of measurement that is used to measure different physical quantities.

It consists of a set of fundamental units of measure, derived units, and prefixes that are used to express the units of measure.The metric system is a standard system of measurement that is used worldwide, and it has become the standard system of measurement for science, engineering, and commerce.

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Answer:

Step-by-step explanation:

Given proportions

Equations as per ratio and solution for each

c. ..................................

100 yards in 10 seconds

d. ..................................

120 heartbeats in 1 minute

Answer:

Step-by-step explanation:

c.  ratio and proportion:

25 yards   =    100 yards

  2.5 sec.             y sec.

cross multiply:

100 (2.5) = 25 (y)

simplify:

y = 250 / 25

y = 10 secs.

------------------------------------------

d.  ratio and proportion:

480 heartbeats =    z heartbeats  

     4 mins.                      1 min.

cross multiply:

4 (z) = 480 (1)

simplify:

z = 480 / 4

z = 120 heartbeats

The equation that will satisfy the statement is

1) 2x -0.5y > 80,  (x,y < 50)

2) 4x - y > 160,  (x,y>50)

3) 8x - 2y > 320 (x,y < 50).

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

Let the number of Correct answer be x and number of incorrect answer be y.

The equation that will satisfy the statement is

1) 2x -0.5y > 80,  (x,y < 50)

2) 4x - y > 160,  (x,y>50)

3) 8x - 2y > 320 (x,y < 50)

The equations that will not satisfy the tatement are ,

1) 2x -0.5y < 80,  (x,y < 50)

2) 4x - y < 160,  (x,y>50)

3) 8x - 2y < 320 (x,y < 50)

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The equation that will satisfy the statement is
1) 2x -0.5y > 80,  (x,y < 50)
2) 4x - y > 160,  (x,y>50)
3) 8x - 2y > 320 (x,y < 50).

What is System of Equation and Inequalities?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

Let the number of Correct answer be x and number of incorrect answer be y.
The equation that will satisfy the statement is
1) 2x -0.5y > 80,  (x,y < 50)
2) 4x - y > 160,  (x,y>50)
3) 8x - 2y > 320 (x,y < 50)
The equations that will not satisfy the tatement are ,
1) 2x -0.5y < 80,  (x,y < 50)
2) 4x - y < 160,  (x,y>50)
3) 8x - 2y < 320 (x,y < 50)

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Answer:

5/9

Step-by-step explanation:

we add all of the values and divide by the total number in this case 9, all of them add to make 5 so we do 5÷9 to get 5/9

MN+NO=MO

Where N is the midpoint of MO

Therefore:

MN = NO

MN = 8

NO = 8

8 + 8 = MO

MO = 16

Now:

MO + OQ = MQ

If O is the midpoint of MQ:

MO = OQ

OQ = 16

Therefore:

MQ = 16 + 16 = 32

If the whole diameter of sphere is 6 inch(means radius is 3 inch) & thickness of material is 1 inch, so the radius of the hollow part should be 2 inch (3-1=2)

The total volume of the ball will be;

= Total volume - Volume of hollow part

= 4/3πr³ - 4/3πr³

= 4/3 × 3.14 × (3)³ - 4/3×3.14×(2)³

= 4 × 3.14 × 9 - 4/3 × 3.14 × 8

= 113.04 - 33.52

= 79.52

If the density of the material is 3.25 g/in3, then the density of 79.52 inch³ should be;

= 79.52 × 3.25

= 258.44 g

Now, if there are 8 spheres in one box, the weight if box will be;

= 258.44 × 8

= 2,067.52 g

_____________________________

Ahh! Finally done with this, if you have any doubt just do ask me :)

Answer: 32

Step-by-step explanation: The total of baskets is 5. They paid 160$ So, 160 divide by 5 = 32

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Answer:

i think that it is d or c just guessing

The more powerful the motor is, the greater the ability to do the work (option b).

A more powerful motor has a higher capacity to generate energy and produce output, allowing it to exert more force and perform work more efficiently. With greater power, the motor can overcome resistance or load with ease and accomplish tasks that may be challenging for less powerful motors.

On the other hand, the time interval for doing the work (option a) and the workload (option c) are not directly dependent on the motor's power. These factors are influenced by other variables such as the specific task, operational conditions, and the requirements of the work itself.

While a more powerful motor may complete a task faster due to its efficiency, the duration of the work and the workload are not determined solely by the motor's power.Therefore, option b, "the greater the ability to do the work is," accurately reflects the relationship between motor power and work capability.

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Nearly 150,000,000 cars were registered in the US as a whole in 2007. China, India, and the United States are the three nations with the largest populations on earth.

Average lifespan and child mortality rate are indeed the two key metrics that most accurately reflect a citizenry's standard of living.

The population of the globe is projected to reach about 10 billion people in 2050. Africa and Asia will see the most expansion in population if indeed the patterns in demographic persist.

Cultural practices, governmental regulations, and monetary support, as well as female employment prospects as well as education levels, all have an impact on the overall birthrate of a community.

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Answer:

a=42°

b=138°

Step-by-step explanation:

the sum of angles on a triangle is 180°

so

18+120+a=180

138+a=180

a=180-138

a=42

a+b=180 because a ans b are linear pair of angles.

Definiton:A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

a=42 from before

it means that b=180-42=138

Answer:

the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.

Step-by-step explanation:

The function f : Z x Z → Z x Z defined by \(f(m,n) = (5m+4n, 4m+3n)\) is bijective, with its inverse given by \(f^{-1}(m,n) = (-3m + 4n, 4m - 5n)\). This means that for every pair of integers (m,n), the function f maps them uniquely to another pair of integers, and the inverse function \(f^{-1}\) maps the resulting pair back to the original pair.

The inverse of the function f(m,n) = (5m+4n, 4m+3n) is \(f^{-1}(m,n) = (-3m + 4n, 4m - 5n)\).

To show that the function f is bijective, we need to prove both injectivity (one-to-one) and surjectivity (onto).

Injectivity:

Assume f(m1, n1) = f(m2, n2), where (m1, n1) and (m2, n2) are distinct elements of Z x Z.

Then, (5m1 + 4n1, 4m1 + 3n1) = (5m2 + 4n2, 4m2 + 3n2).

This implies 5m1 + 4n1 = 5m2 + 4n2 and 4m1 + 3n1 = 4m2 + 3n2.

By solving these equations, we find m1 = m2 and n1 = n2, proving injectivity.

Surjectivity:

Let (a, b) be any element of Z x Z. We need to find (m, n) such that f(m, n) = (a, b).

By solving the equations 5m + 4n = a and 4m + 3n = b, we find m = -3a + 4b and n = 4a - 5b.

Thus, f(-3a + 4b, 4a - 5b) = (5(-3a + 4b) + 4(4a - 5b), 4(-3a + 4b) + 3(4a - 5b)) = (a, b), proving surjectivity.

Since the function f is both injective and surjective, it is bijective. The inverse function \(f^{-1}(m, n) = (-3m + 4n, 4m - 5n)\) is obtained by interchanging the roles of m and n in the original function f.

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The correct statements that apply to the given graph are;

zeros: none

domain: (−∞,−1] U [1,∞)

minimum: -π/2

maximum: π/2

From the given graph, we can see that the maximum and minimum points on the graph are at;

Minimum = -π/2

Maximum = π/2

Now, the zeros are where the graph curve crosses the x-axis but that doesn't exist here. Thus there are no zeros.

The domain of the graph would be (−∞,−1) U (1,∞). This is because y starts from 1 or -1 and goes to infinity.

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The output of the following code snippet will be 1, 2, 3, and 4.

The reason is that the while loop runs infinitely until the break statement is executed. The break statement terminates the loop if the value of x is divisible by 5. However, the value of x is incremented at each iteration of the loop before checking the condition. Here is the step-by-step explanation of how this code works:

Step 1: Assign 1 to x.x = 1

Step 2: Start an infinite loop using the while True statement.

Step 3: Check if the value of x is divisible by 5 using the if x % 5 == 0 statement.

Step 4: If the value of x is divisible by 5, terminate the loop using the break statement.

Step 5: Print the value of x to the console using the print(x) statement.

Step 6: Increment the value of x by 1 using the x += 1 statement.

Step 7: Repeat steps 3-6 until the break statement is executed.

Therefore, the output of the code will be: 1 2 3 4.

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The solution for the other variable, according to the stated statement, is\(X = 6^y\) and \(y = 21 * 2^X\)

Exponential numbers are represented by an, where an is multiplied by itself n times. An easy example is 8=2³=222. In exponential notation, an is known as the base, whereas n is known as the power, exponent, or index. Scientific notation is an example of an exponential number, with 10 usually typically serving as the base number.

Exponential functions are often employed in the biological sciences to describe the amount of a certain quantity over time, such as population size. Experiment data graphs are often created with time on the x-axis and amount on the y-axis.

a. y = log6(X)

\(6^y = X\)

\(X = 6^y\)

b. \(X = log2(y/21)\)

\(2^X = y/21\)

\(21 * 2^X = y\)

\(y = 21 * 2^X\)

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No, lecture notes collected during a bachelor degree study are not a type of date. Lecture notes are a collection of the notes taken by a student during the lectures in the course of their bachelor degree study.

They are not the same as dates, which are the specified days on which something happens or is planned to happen. Lecture notes are usually written in the form of summaries of a lecture, which are usually made up of the important points that the student has noted down during the lecture.

They may also include diagrams, equations, and other visual aids that the student has used to illustrate the material covered. Lecture notes are not the same as dates, as they are not related to any specified days. They are simply summaries of the lecture topics discussed by the professor in the course of the student’s bachelor degree study.

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Given the trigonometry equation expressed as;

We are to simplify for the value(s) of 'x"

Recall from trigonometry identity that:

Substitute the result into the original equation to have:

Solve for the value of "x"

The general solution to the given trigonometry function is:

Answer:

1) n=±2\(\sqrt{5}\)

2) a=±3\(\sqrt{10}\)

Step-by-step explanation:

1) \(n^{2}\) =20

✰Take the square root of both sides n=±\(\sqrt{20\\}\)

✰ Simplify \(\sqrt{20\\}\) to 2\(\sqrt{5}\)

→ n=±2\(\sqrt{5}\)  

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

2) \(a^{2}\) =90

✰ (Same as above) Take the square root of both sides ​a=±\(\sqrt{90\\}\)

✰ Simplify \(\sqrt{90}\) to 3\(\sqrt{10}\)

→ a=±3\(\sqrt{10}\)