can someone help me with this assignment

Answer:

1=60 degrees, 2=60 degrees, 3=120 degrees 4=67 degrees, 5=23 degrees 6=37 degrees

Step-by-step explanation:

180 degrees in any triangle

1: 180-(49+71)

2: 1 and 2 are opposite and opposite angles are equal

3: 360 -(angle 1+angle 2) then divide by 2

4: 180-(53 + angle 2)

5: 180-(angle 3+angle 6)

6: 90 degrees in a right angle so 90 degrees - 53 degrees

Answer: False.

Step-by-step explanation:

       We will compute the different expressions to see if the equations are true.

16 + 1 = 17

17 = 17 ✓

(16 + 1) -1 = 17 - 2

(17) -1 = 15

16 ≠ 15 ✗

       The second equation is incorrect. We can tell right away because 2 is being subtracted from 2, but nothing is being taken away from the 16 (1 - 1 = 0).

Answer:

\(\frac{10n}{1-30n}:\frac{m}{10(1+3m)}\)

Step-by-step explanation:

Solve for 'm' and 'n':

'm' = \(\frac{10n}{1-30n}\)

'n' = \(\frac{m}{10(1+3m)}\)

Ratio: \(\frac{10n}{1-30n}:\frac{m}{10(1+3m)}\)

Answer:

C.

Step-by-step explanation:

1. Find the area part of the equation.

Area is base×height, so if we substitute 8 as the base and w as the height, A=8w

2. Find the perimeter of the equation.

Perimeter of a rectangle is 2(base + height), so in this case, it will be

P=2(8 + w), or C.

Answer:

(10, 5π/3)

Step-by-step explanation:

To convert rectangular coordinates (5, -5√3) to polar form, we can use the following formulas:

r = √(x^2 + y^2)

θ = arctan(y/x)

Substituting the given values, we get:

r = √(5^2 + (-5√3)^2) = √(25 + 75) = √100 = 10

θ = arctan((-5√3)/5) = arctan(-√3) = -π/3

Note that the value of θ is in the fourth quadrant, which corresponds to a negative angle. However, we need to express the angle θ in the range 0 ≤ θ < 2π. To do this, we can add 2π to the angle if it is negative:

θ = -π/3 + 2π = (5π/3)

Therefore, the rectangular coordinates (5, -5√3) in polar form are (10, 5π/3).

Answer:

The data is missing in the question, below is the complete question:

The number of credits being taken by a sample of 13​ full-time college students are listed below. Find the​ mean, median, and mode of the​ data, if possible. If any measure cannot be found or does not represent the center of the​ data, explain why. 9    9    12    12    9    10    8    8    8    8    8    8    11    Find the mean. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The mean is nothing . ​(Type an integer or decimal rounded to one decimal place as​ needed.) B. The data set does not have a mean. Does the mean represent the center of the​ data? A. The mean represents the center. B. The mean does not represent the center because it is the smallest data value. C. The mean does not represent the center because it is not a data value. D. The mean does not represent the center because it is the largest data value. E. The data set does not have a mean. Find the median. Select the correct choice below​ and, if​necessary, fill in the answer box to complete your choice. A. The median is nothing . ​(Type an integer or decimal rounded to one decimal place as​ needed.) B. The data set does not have a median. Does the median represent the center of the​ data? A. The median represents the center. B. The median does not represent the center because it is the largest data value. C. The median does not represent the center because it is not a data value. D. The median does not represent the center because it is the smallest data value. E. The data set does not have a median. Find the mode. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The​ mode(s) is/are nothing . ​(Type an integer or decimal rounded to one decimal place as needed. Use a comma to separate answers as​ needed.) B. The data set does not have a mode. Does​ (Do) the​ mode(s) represent the center of the​ data? A. The​ mode(s) represent(s) the center. B. The​ mode(s) does​ (do) not represent the center because it​ (they) is​ (are) not a data value. C. The​ mode(s) does​ (do) not represent the center because it​ (one) is the largest data value. D. The​ mode(s) does​ (do) not represent the center because it​(one) is the smallest data value. E. The data set does not have a mode.

Answer:

a.) mean = 9.23

ii) The mean represents the centre (A)

b) Median = 9

ii) The median represents the centre (A)

c) Mode = 8

ii)  The​ mode(s) does​ (do) not represent the center because it​(one) is the smallest data value. (D)

Step-by-step explanation:

Arranging the data in ascending order:

8 8 8 8 8 8 9 9 9 10 11 12 12

a) calculating for mean

\(\bar x = \frac{sum\ of\ data}{number\ of\ data}\\ \bar x = \frac{8+8+8+8+8+8+9+9+9+10+11+12+12}{13} \\\bar x =\frac{120}{13} \\\bar x = 9.23\)

ii) does the mean represent the centre of the data?

The measure of central tendency/location is a statistical tool used to accurately depict values that are at the central location of the data set

Yes, the mean represents the centre of the data, because there are no outliers in the data set. Outliers are unusual values compared to the rest of the values in the dataset.

b) calculating the median (M)

\(M =( \frac{n\ +\ 1}{2})th\ term\\ \\where:\\n = number\ of\ data\ in\ the\ dataset = 13\\\\\therefore M = \frac{13+1}{2}\\ M = \frac{14}{2} \\M= 7th\ term\)

The 7th term after arranging in ascending or descening order, is the median term

8 8 8 8 8 8 9 9 9 10 11 12 12

∴ Median = 9

ii) Yes, the Median represents the center of the data, because it litterally tells the data at the middle of the distribution  

c) The mode is the data with the highest number of occurrence in the dataset (highest frequency);  8 8 8 8 8 8 9 9 9 10 11 12 12

The data with the highest number of occurrence is 8, which occurred 6 times.

Mode = 8

ii) The mode does not represent the centre of the data because it is the smallest value in the dataset, hence it doesn't tell the value that is the middle term.

Answer:

A.

Step-by-step explanation:

answer A. 14 minutes is your answer

Answer:

Step-by-step explanation:

Given ,

Radius of the cylinder = 5 cm

Height of the cylinder = 5 cm

Therefore,

Total surface area of the cylinder

\( = 2\pi r(r + h)\)

\( = 2\pi \times 5(5 + 5) {cm}^{2} \)

\( = 10\pi \times 10 {cm}^{2} \)

\( = 100\pi {cm}^{2} \)

Hence,

The required value to put in the green box is 100(Ans)

The critical values are 0.622, 0.707, 0.789 and 0.834

The sample size is given as:

n = 8

Calculate the degrees of freedom using

df = n - 2

So, we have:

df = 8 - 2

df = 6

Using the table of values of critical values, we have:

Critical values = 0.622, 0.707, 0.789 and 0.834

By comparing the critical values and the linear correlation coefficient, we can conclude that there is no significant linear correlation.

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Answer:

copy & paste them intu the comment, i'll help :)

Step-by-step explanation:

The length of the towel bar is 9.5 inches.

Length is used to measure distance, In the International System of Quantities, a quantity with the distance dimension is referred to as length. The majority of measurement systems select a base unit for length from which all other units are derived. The metre serves as the International System of Units' fundamental unit of length.

Suppose, the length of the towel bar is x inches

The distance from each end of the towel bar to the end of the door is 9

inches. So, the total width of the door will be:[(x+(9*2)]=(x+18) inches

Given that, the width of the door is 27 inches 27.5 So, the equation will be.

x+18=27.5

x=27.5-18=9.5

Thus, the length of the towel bar will be 9.5 inches.

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The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Hi there!

\(\large\boxed{x < 2}\)

\(\frac{4x + 6}{7} < 2\)

Begin by multiplying both sides by 7:

\(4x + 6 < 2 * 7 \\\\4x + 6 < 14\)

Subtract 6 from both sides to isolate for x:

\(4x + 6 - 6 < 14 - 6\\\\4x < 8\)

Divide both sides by 4 to solve for x:

\(4x/4 < 8/4\\\\x < 2\)

Answer:

9, 9.5,9.551,9.59,9.626,9.66,9.662

Step-by-step explanation:

Answer:

Label A:increasing

Label B: no change

Label C: decreasing

Step-by-step explanation:

Answer:

\(2\sqrt{1.86}\) = 0.95  \(2\sqrt{0.95}\)= 0.485 --> (hundredth) 0.49

Step-by-step explanation:

The question is "Every pencil Peter sells earns him $1/8. How many pencils did he sell in order to earn $3 yesterday?"

Reality modeling:

Sometimes we want to offer a mathematical model to explain a real-world scenario. But what if we already have the model and need to consider several scenarios? Given the solution, it challenges us to use our imagination to solve the issue.

It is evident that a question mark multiplied the fraction 1/8 to arrive at the number 3. This proportion issue is typical. This is how I'm going, "P" "Every pencil that Ter sells earns him $1/8. How many pencils did he sell in order to earn $3 yesterday?"

If we want to find the answer, we must swap out the? for 24 and state that Peter sold 24 pencils, earning 24(1/8)=$3.

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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Answer:

0.15444

just use a calculator

The equation that represents the solution of x is x = 2 - y/2

The equation is given as:

14x + 7y = 28

Divide through by 7

2x + y = 4

Subtract y from both sides

2x = 4 - y

Divide both sides by 2

x = 2 - y/2

Hence, the equation that represents the solution of x is x = 2 - y/2

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The initial value problem's solution becomes closer to 0, the problem's limit, as time gets closer to infinity.

1. Determine both sides of the equation's Laplace transform: d2y + 4dy + 13y = u5(t) Y(s) = s2Y(s) + 4sY(s) + 13Y(s) = U5 (s)

2. Rewrite the equation to Y(s) = U5(s) / (s2 + 4s + 13) to find the value of Y(s).

3. Consider the reverse Finding y(t) using the Laplace transform on both sides

y(t) = (1/12)e(-t) + (1/24)sin(3t) + (1/8)cos (3t)

4. As t approaches infinity, determine the limit:

Laplace transformations are used to resolve the initial value issue d2y + 4dy + 13y = u5(t), where y(0) = 0 and y′(0) = 1. Y(s) = s2Y(s) + 4sY(s) + 13Y(s) = U5 is the result of first doing the Laplace transform of both sides of the equation (s). To find Y(s), we rewrite the equation as Y(s) = U5(s) / (s2 + 4s + 13). Then, to get y(t), we use the inverse Laplace transform of both sides: y(t) = (1/24)e(-2t) + (1/12)e(-t) + (1/24)sin(3t) + (1/8)cos (3t). Finally, when t approaches infinity, we compute the limit: limt[infinity]y(t) = 0. As a result, as time gets closer to infinity, the initial value problem's solution gets closer to 0.

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Answer:Look

Step-by-step explanation: Look and solve its not that hard

The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² =  (a + ib)²(a - ib)²

From the question, we have the following parameters that can be used in our computation:

✓(x + iy) = a + ib

Changing the signs, we have

✓(x - iy) = a - ib

Multiply both expressions

This gives

✓(x + iy) * ✓(x - iy) =  (a + ib)(a - ib)

Square both sides

So, we have

(x + iy) * (x - iy) =  (a + ib)²(a - ib)²

This gives

x² + y² =  (a + ib)²(a - ib)²

Hence, the values of ✓(x - iy) is a - ib and x² + y² is  (a + ib)²(a - ib)²

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Answer: A

Step-by-step explanation:

We can rewrite \(8^x\) as follows:

\(8^{x}=\left(8^{9} \right)^{x/9}=\left(\frac{1}{8^{9}} \right)^{-x/9}\)

Hence, \(A=\frac{1}{8^{9}}=\boxed{8^{-9}}\)

Answer: D. minimizes the sum of the squared residuals

Step-by-step explanation: The ordinary least square method is often used in locating the trendine which best fits a graphical linear model. The best is one in which the sum of the squared residual is smallest. The residual refers to the difference between the actual and the predicted points. The sum of the squared differences is obtained and the trend line is positioned where the residual is minimum. Choosing a OLS, and minimizing the sum.of the squared residual, the error difference between the predicted and actual score is minimized or reduced, hence, improving the prediction accuracy of our model.

On solving the provided question we can say that The following is the data table of the function.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

the provided functions that can be formed are

           x            -infinity < x < -10

f(x) =    2x + 10          -10 < x < 10

           4X - 10       10 < x < infinty

The following is the data table of the function.

x              y

-20          -20

-15          -15

-10          -10

-5             0

0              10

5               20

10              30

15              50

20              70

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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.

A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.

Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

The following is the data table of the function.

x               y

-20          -20

-15           -15

-10           -10

-5              0

0              10

5              20

10              30

15              50

20             70

The provided functions that can be formed are

\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

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for the expression 1/10k - 7/10 G.C.F is evaluated to be 1/10

To find the greatest common factor (GCF) of the expressions 1/10k and 7/10, we first need to write them in a form that allows us to factor out a common factor. We can do this by writing 1/10k as 1/(10k) and 7/10 as 7/(101). Then we can see that both terms have a common factor of 1/10, which we can factor out to get:

1/10k - 7/10 = 1/10 * (1/k - 7)

Now we can see that the GCF of the two terms is 1/10.

GCF stands for "greatest common factor." It is the largest positive integer or polynomial that divides two or more numbers or polynomials without leaving a remainder. In other words, the GCF is the largest number or polynomial that is a common factor of a set of numbers or polynomials. The GCF is often used in mathematics to simplify fractions or expressions, to factor polynomials, or to solve equations.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.

We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.

So, both the 1st and 4th points translate and reflect down the triangle A'B'C'  which will be mapped according to the triangle ABC.

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Answer:

Option A,B,E are equivalent.

Step-by-step explanation:

What we are given: Expression

To find : Which expressions are equivalent to given expression ?

Solution :

We solve the expression and check,

A) Yes it is equivalent.

B) Yes it is equivalent.

C) No it is not equivalent.

D) No it is not equivalent.

E)  Yes it is equivalent.

Therefore, Option A,B,E are equivalent.

Step-by-step explanation:

Hope this Helps =)

Answer:

Step-by-step explanation:

\( - 30(3 + 2w) \\ - 30(3) - 30(2w)\\ - 90 - 60w\)

It's equivalent. ✔️

\(( - 9 - 6w) - 10 \\ - 9 - 6w - 10 \\ - 19 - 6w\)

It's not equivalent. ✖️

\( - 3(30 - 20w) \\ - 3(30) -3(20w) \\ - 90 - 60w \\ \)

It's equivalent. ✔️

\((6 + 4w) \times 15 \\ 15(6)+ 15(4w) \\ 90 + 60w \\ \)

It's not equivalent. ✖️

\( - 20(4.5 + 3w) \\ -20(4.5) -20(3w) \\ - 90 - 60w \\ \)

It's equivalent. ✔️