Explain the Error A student's solution to the equation 3x + 2 = 15
is shown. Describe and correct the error that the student made.
3x + 2 = 15
Divide both sides by 3.
x +2=5
Subtract 2 from both sides.
x=3

This is an example of a seasonal component in a time series. A seasonal component refers to regular, predictable patterns that are associated with the time of year, such as increased sales during the summer months.

Selling products or services to clients in exchange for cash or other types of payment is known as ale. The sales process consists of a number of elements, such as:

Product: The items or services being sold are referred to here. A corporation must have a comprehensive grasp of its product offerings and how they fit the demands of its target market.

Price: The sum of money that a consumer must fork over in order to purchase the item or service. Price should be set to maximise profit while maintaining market competitiveness.

Locations where higher the good or service is sold are referred to here as "place." Physical storefronts, internet marketplaces, or a network of distributors may all fall under this category.

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Answer:

Step-by-step explanation:

A rectangular carpet measures 8 m by 6 m​Part of the carpet is covered by a square rug of length 2 m

Answer:

x-intercept: (-19/7,0)

y-intercept: (0,19)

The statement (∀z)(∀y)[(G(z) & W(y)) → E(y,z)] would be false under the circumstance described in option d, i.e., if there is a single wolf that has eaten every goat.

The given statement can be translated as "For all z (goats) and y (wolves), if z is a goat and y is a wolf, then y has eaten z." In other words, it asserts that every goat is eaten by a wolf.

Option d contradicts this statement by stating that there is a single wolf that has eaten every goat. If there exists a wolf that has consumed all the goats, then the statement (∀z)(∀y)[(G(z) & W(y)) → E(y,z)] would be false because not every goat is eaten by a wolf in that scenario. Therefore, option d represents the circumstance in which the statement would be false.


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Answer:A. h(t) = -16(t - 403)^2 + 3

B. h(t) = -16(t - 5)^2 + 3

C. h(t) = -16(t - 3)^2 + 403

D. h(t) = -16(t - 5)^2 + 403

Step-by-step explanation:

Answer with Step-by-step explanation:

To change the mixed fraction into improper fraction you multiply the denominator with the whole and add to numerator.

For example:  4 1/5 = (5*4)+1/5=21/5

To change improper into proper mixed fraction,

Divide the numerator by denominator and write the remainder on numerator

For example: 7/2= 3 1/2

Mike Sullivan recently retired as Professor of Mathematics at Chicago State University, having taught there for more than 30 years. He received his PhD in mathematics from Illinois Institute of Technology.

He is a native of Chicago’s South Side and currently resides in Oak Lawn, Illinois. Mike has 4 children; the 2 oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project. His son Mike Sullivan, III co-authored the Sullivan Graphing with Data Analysis series as well as this series. Mike has authored or co-authored more than 10 books. He owns a travel agency and splits his time between a condo in Naples, Florida and a home in Oak Lawn, where he enjoys gardening.

Michael Sullivan, III has training in mathematics, statistics and economics, with a varied teaching background that includes 27 years of instruction in both high school and college-level mathematics. He is currently a full-time professor of mathematics at Joliet Junior College. Michael has numerous textbooks in publication, including an Introductory Statistics series and a Precalculus series which he writes with his father, Michael Sullivan.

Michael believes that his experiences writing texts for college-level math and statistics courses give him a unique perspective as to where students are headed once they leave the developmental mathematics tract. This experience is reflected in the philosophy and presentation of his developmental text series. When not in the classroom or writing, Michael enjoys spending time with his 3 children, Michael, Kevin and Marissa, and playing golf. Now that his 2 sons are getting older, he has the opportunity to do both at the same time!

Product details

Publisher ‏ : ‎ Pearson; 4th edition (8 January 2018)

Language ‏ : ‎ English

Hardcover ‏ : ‎ 1224 pages

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The standard form representation of the give quadratic equation; -8x = 3x² - 9 as required is; 3x² + 8x - 9 = 0.

It follows from the task content that the standard form representation of the given quadratic equation; -8x = 3x² - 9 is to be determined.

Recall the standard form equation of quadratic equations takes the form; ax² + bx + c = 0.

Therefore, for the given equation; we have that;

-8x = 3x² - 9

0 = 3x² + 8x - 9

3x² + 8x - 9 = 0.

Ultimately, the standard form equation is; 3x² + 8x - 9 = 0.

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Answer:

Divide 45 and 3

You should get 15

Add 15 to the eight

You should have got 23

Multiply 23 and 7

You should get 161

subtract it from 175

you should get 14

Step-by-step explanation:

See image for calculations:

(Note that interior angle + exterior angle = 180 degrees)

   AND  sum of exterior angles = 360     that is where the first formula comes from.

Answer:

Step-by-step explanation:

3x - 15 = 150

3x = 165

x = 55

3(55) - 15 = 150

165 - 15 = 150

150 = 150

The point where two lines meet is known as an angle. The value of c that makes m parallel to n is 15

From the given diagram, we can see that line m is parallel to line n.

The sum of the interior angles given in the diagram is supplementary, i.e

3x - 15 + 150 = 180

3x + 135 = 180

3x = 180 - 135

3x = 45

x = 45/3

x = 15

Hence the value of c that makes m parallel to n is 15

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The combinatorial testing method is an effective way of testing all possible options before making a decision.

When you are faced with a decision to be made, it is necessary that you make use of all the possible options before you. Failing to make use of all the options is like taking a shot in the dark and hoping to hit a target.

When you have N simple conditions combined, it is important that you test all N-1 possibilities for the best outcome. This implies that you must test all possible options before making a decision.

The simple conditions here refer to the different options that you may have before you. Each option is a simple condition. This means that if you have three different options to choose from, you have three simple conditions. The conditions may be combined in different ways, leading to different possibilities. You need to test all the possibilities before making your decision

This method of testing all possible options is known as the combinatorial testing method. It is a useful method for ensuring that you make the best decisions possible. It can be applied in a variety of fields such as engineering, medicine, and business. The method has been proven to be effective in ensuring that the best decision is made in any given scenario.

In conclusion, it is important to test all possible options before making a decision. This is because not all possibilities for the decision were tested.

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Answer:

things that can be naturally replaced in a short period of time

In this scenario, we are given three functions: f, g, and h, where the input and output for each function are natural numbers. Additionally, we are given the condition that f(n) < g(n) < h(n) for all natural numbers n.

The objective is to determine the relationship between the three functions based on this condition.Based on the given condition, we can conclude that the output of function g is greater than the output of function f for all natural numbers. Similarly, the output of function h is greater than the output of function g for all natural numbers. This implies that the functions f, g, and h are ordered in increasing order.

In other words, for any input value n, the value of f(n) is the smallest, followed by g(n), and then h(n) is the largest. This order is maintained consistently for all natural numbers. This information allows us to establish the relative magnitudes of the outputs of the three functions and the overall ordering of the functions themselves.

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Answer:

enlargement

Step-by-step explanation:

if scale factor > 1 then enlargement

if scale factor 0 < SF < 1 then reduction

here SF = \(\frac{6}{5}\) = 1.2 > 1 so enlargement

Answer:

Enlargement

Step-by-step explanation:

Due to the scale factor properties stating that a SF value must be more than one to become an enlargement factor, we know that 6/5 is more than one whole. Thus, the SF is enlargement.

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

The statement cross-tabulation with two variables is known as twice-tabulation is false because there is no such term as "twice-tabulation" in the context of statistical analysis.

Cross-tabulation, also known as contingency table analysis, involves the analysis of categorical variables by creating a table that shows the frequency or distribution of one variable based on the levels of another variable.

It allows for the examination of the relationship between two variables, highlighting any associations or patterns that may exist. Each cell in the cross-tabulation table represents the count or proportion of observations that fall into specific combinations of categories from the two variables.

The term "twice-tabulation" does not exist in statistical literature and is not commonly used to refer to cross-tabulation with two variables. The correct term to describe this statistical technique is simply cross-tabulation or contingency table analysis.

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The stem-and-leaf plot for the data-set in this problem is given as follows:

4|1 1 4

5|5 8 9

6|0 1 2 3

7|2 7

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

The stems for this problem are the first digits of the numbers, which are 4, 5, 6 and 7.

The leafs are the second digits, hence the plot is given as follows:

4|1 1 4

5|5 8 9

6|0 1 2 3

7|2 7

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The rule for the geometric sequence is Uₙ = (-1)ⁿ⁺¹2⁷⁻ⁿ

A geometric sequence is a sequence in which consecutive terms are in a common ratio.

Since we have the geometric sequence 64,-32,16,-8, the nth term of a geometric sequence is given by Uₙ = arⁿ⁻¹ where

Since in the geometric sequence, the first term U₁ = a = 64 and the second term U₂ = ar²⁻¹ = ar = -32, then the common ratio r is

r = U₂/U₁

= ar/a

= -32/64

= -1/2

Since a = 64 and r = -1/2

substituting these into Uₙ, we have

Uₙ = arⁿ⁻¹

Uₙ = 64(-1/2)ⁿ⁻¹

Uₙ = 64(-1/2)ⁿ/(-1/2)⁻¹

Uₙ = 64(-1/2)ⁿ/(-2)

Uₙ = -128(-1/2)ⁿ

Uₙ = (-1)(-1)ⁿ128(1/2)ⁿ

Uₙ = (-1)(-1)ⁿ2⁷(1/2)ⁿ

Uₙ = (-1)ⁿ⁺¹2⁷⁻ⁿ

So, the rule is Uₙ = (-1)ⁿ⁺¹2⁷⁻ⁿ

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a. Pair 2 is selected.

b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.

c. The two systems work together by sharing the region of the mouth and upper throat.

First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.

The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.

The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.

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Answer:

15

Step-by-step explanation:

To solve this we need to multiply from left to right:

another way to write 40 is 40/1

so multiply 3/8 and 40/1

(You need to multiply the top with the top and bottom with bottom)

3 times 40 is 120 8 times 1 is 8 so the answer will look like this:

120/8

But we can simplify it:

120 divided by 8 is 15

(If you don't know how to divide long division divide with smaller numbers like 2, 3, 5, 7, and so on)

Alternate way:

Divide by a prime number that can be divided in this case it is 2, stop when that number cannot be divided by that prime number

120: 120/2= 60    60/2= 30     30/2= 15

8: 8/2= 4    4/2= 2     2/2= 1

Hope this helps!

Let a function be defined from A to B then f is said to be one to one function if every element of domain has its unique image in co- domain . In other words, if each separate elements of set A are mapped with separate of set B then such function is known as one to one function.

The process of making coffee grounds involves sourcing, roasting, grinding, and packaging high-quality beans.

The process of making coffee grounds starts with sourcing and selecting high-quality beans, which sets the foundation for a superior product. These beans are then carefully roasted to unlock their unique flavors and aromas, enhancing the overall coffee experience.

The roasted beans are ground to the desired consistency, catering to different brewing methods and preferences. Finally, the freshly ground coffee is meticulously packaged to preserve its freshness, ensuring that customers can enjoy the full flavor profile.

Through value-added analysis, each step is evaluated to identify activities that directly contribute to the product's value, allowing for optimization and efficiency in the production process.

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The experimenter was most likely conducting a randomized controlled trial, also known as a randomized experiment.

In this type of experiment, participants are randomly assigned to different groups, such as an experimental group or a control group, to ensure that any observed effects can be attributed to the intervention being tested rather than other factors.

In this case, the experimenter is using a random number to assign Chris to a group with nineteen other students, which suggests that there may be multiple groups involved in the experiment. This type of design is often used in scientific research to test the effectiveness of a new treatment, intervention, or program.

Randomized controlled trials are considered the gold standard in research design because they provide strong evidence for causal relationships between variables. By randomly assigning participants to different groups, researchers can control for confounding variables and ensure that any observed differences between groups are due to the intervention being tested.

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Answer:

B

Step-by-step explanation:

the question is asking to name any point, B is a point that falls on the graph

Answer:

Step-by-step explanation:

multiply 7 until you get 66 then you will find the answer

Answer:

24n^3 + 21n^2 + 18n

Step-by-step explanation:

distribute the 3n to each of the other numbers

3n(8n2) + 3n(7n) + 3n(6)

= 24n^3 + 21n^2 + 18n

We could write the following equations according to the problem:

Hours equation:

And, the payment equation: (cents)

We could solve this system of equations using the elimination method:

We're going to multiply the first equation by -620:

Now, we're going to sum both equations eliminating variable a, so we get a linear equation in terms of b:

Now we know that he did 12 hours at job b.

As he worked 22 hours in total, then he worked 10 hours at job a.

Answer:

Step-by-step explanation:

a+b = 22                --  equation 1

6.20a + 7.40b = 150.80    replacing decimals

620a + 740b = 15080      --- equation 2

From eq. 1            a = (22 - b)

putting a's value in equation 2

620(22 - b) + 740b = 15080

13640 - 620b + 740b = 15080

120b = 15080 - 13640

b =  1440/120 = 12

From equation 1            a + 12 = 22

a = 10

Verify your answer by equation 2 putting the value of a and b

620*10 + 740*12 = 15080