Help me please man, I’m stuck

Help Me Please Man, Im Stuck

Answers

Answer 1

The value of function g (5) is,

⇒ g (5) = 30/13

We have to given that;

Function is,

g (x) = {(x² + 5) / (x + 8)   if x ≠ - 8

      = { x - 1   ; if x = - 8

Hence, The value of function g (5) is,

⇒ g (5) = (x² + 5) / (x + 8)

⇒ g (5) = (5² + 5) / (5 + 8)

⇒ g (5) = (30) / (13)

Thus, The value of function g (5) is,

⇒ g (5) = 30/13

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Related Questions

Examine the steps below. Between which two lines was a mistake made?

A.
between line 1 and line 2
B.
between line 2 and line 3
C.
between line 3 and line 4
D.
between line 4 and line 5

Answers

Answer:

A and D

Step-by-step explanation:

A- when multiplying -5 and -3 it should be positive 15.

D- when dividing 3 they just outta nowhere forgot about the negative, it should've been -5

What is Mine-craft Incorrect Responses Only

Answers

Mine-craft Incorrect Responses is known to be a sort of game or challenge where members are inquired to reply to Mine-craft-related questions or explanations with intentioned inaccurate answers.

What is Mine-craft?

The thought is to utilize humor and creativity  to come up with reactions that are totally off-base but still somehow related to Mine-craft.

Mine-craft  Incorrect Responses is an amusing way of reacting to questions or statements related to the prevalent sandbox video diversion Mine-craft with intentioned off base answers. The objective is to be as imaginative and amusing as conceivable whereas intentionally giving off-base answers to Mine-craft-related questions or comments.

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example of a multi-step combination problem

Answers

Answer:

A multi-step-word problem is like a puzzle with lots of pieces. Multi-step word problems are math problems that have more than one operation. An operation is addition, subtraction, multiplication, or division. Multi-step word problems can have any combination of these operations

Can anyone help me on this

Answers

Multiply the input by 4 each time to get the output.

7: An entrance examination for a job consists of 25% English, 30% Mathematics, 25% computer and 20% accounting, and the passing mark is 45. If an applicant sat for the examination and scored 60% in English, 35% in Mathematics, 80% in computer and 50% in Accounting, do you think she will be accepted?​

Answers

Answer: The overall score obtained is 55.5, which is higher than the passing mark of 45. Therefore, the applicant will be accepted.

Step-by-step explanation:To determine if the applicant will be accepted, we need to calculate their overall score based on the percentage weights and passing mark given for each subject.

The overall score can be calculated as follows:

Overall score = (0.25 x English score) + (0.3 x Math score) + (0.25 x Computer score) + (0.2 x Accounting score)

Substituting the given scores, we get:

Overall score = (0.25 x 60) + (0.3 x 35) + (0.25 x 80) + (0.2 x 50)

= 15 + 10.5 + 20 + 10

= 55.5

Suppose a stock drops in value by 60% one week then increases in value the next week by 75% is the value higher or lower then when u started and by how much

Answers

The value of the stock at the end of the two weeks would be 70, which is 30% lower than the starting value of 100.

What is Algebraic expression ?

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. It typically represents a mathematical relationship or formula and can be used to solve problems and make predictions.

Assuming you started with a value of 100, the value of the stock would be lower after these two weeks.

In the first week, the stock dropped by 60%, which means its value decreased to 40% of its original value. Therefore, the value of the stock at the end of the first week would be:

100 * 0.4 = 40

In the second week, the stock increased in value by 75%. Therefore, the value of the stock at the end of the second week would be:

40 * 1.75 = 70

Therefore, the value of the stock at the end of the two weeks would be 70, which is 30% lower than the starting value of 100.

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50 Points! Solve the equation or inequality. Please show as much work as possible. Photo attached. Thank you!

Answers

The equation 5ʷ ⁺ ³ = 17 when solved for w is approximately w = 0.41

Solving the equations or inequalities for w

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

5ʷ ⁺ ³ = 17

Take the logarithm of both sides of the equation

So, we have

w + 3 = ln(17)/ln(3)

Evaluate the quotient on the left side of the equation

This gives

w + 3 = 2.59

So, we have

-3 + w + 3 = 2.59 - 3

Evaluate

w = 0.41

Hence, the equation when solved for w is approximately w = 0.41

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esson Quiz
The ages, in years, of 6 volunteers at the local food pantry are listed below. If a 7th volunteer joins them, what would their age be so that the range of their ages will be 557
(56, 81, 54, 47, 45, 94)
O
S
8
18
10

Answers

The age of the 7th volunteer has to be 602 years so that the range of the all volunteer ages will be 557.

Given ages of 6 volunteers = (56, 81, 54, 47, 45, 94)

The range = maximum value - minimum value.

So, range of the given list = 94 - 45 = 49.

To increase, the range to 557, we have to add an age that is greater than 94, To obtain that age we have to solve 557 - 45 = 508. [here 557 is the maximum value]

Now, by adding the obtained range to the 94 we can get the required age of 7th volunteer. So 508 + 94 = 602.

From the above explanation, we can conclude that the age of the 7th volunteer has to be 602 years which is unrealistic so that the range becomes 557.

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There are 8 blue marbles, 6 red marbles, 2 green marbles and 4 black marbles in a box.
What is the probability that the marble is not green?

Answers

the probability that the marble is not green is 0.9 or 90%. This means that if we were to randomly select a marble from the box, there is a 90% chance that it will not be green.

How to solve probability?

To calculate the probability that a marble is not green, we need to first determine the total number of marbles in the box, which is given by:

Total number of marbles = 8 + 6 + 2 + 4 = 20

Next, we need to determine the number of marbles that are not green. Since there are 2 green marbles, the number of marbles that are not green is given by:

Number of marbles that are not green = 20 - 2 = 18

Finally, we can calculate the probability of selecting a marble that is not green by dividing the number of marbles that are not green by the total number of marbles in the box, as follows:

Probability of selecting a marble that is not green = Number of marbles that are not green / Total number of marbles

= 18 / 20

= 0.9 or 90%

Therefore, the probability that the marble is not green is 0.9 or 90%. This means that if we were to randomly select a marble from the box, there is a 90% chance that it will not be green.

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LESSON 26 SESSION 3
There are at least 12 people on a bus.
a. Write and graph an inequality to show the number of people who may be on
the bus.

Answers

An inequality to show the number of people  is  p ≥ 12

Writing and graphing an inequality to show the number of people

Let p be the number of people on the bus. We know that there are at least 12 people on the bus, so we can write:

p ≥ 12

This inequality means that the number of people on the bus, p, must be greater than or equal to 12.

To graph this inequality, we can draw a horizontal line at y = 12 on the y-axis, and shade the area above the line, since any value of p that is greater than or equal to 12 satisfies the inequality.

Here's a graph of the inequality attached

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I need help with this econ question. Thank you.

Answers

Answer:

c + 3.6 + 3.4 + 4.1 + 2.3 = 18.6

c + 13.4 = 18.6

c = 5.2

$5.2 trillion was spent on consumption.

Find the length of the missing side

Answers

Answer:

24

Step-by-step explanation:

10^2+x^2=26^2

x^2=26^2-10^2

x^2=576

x=[tex]\sqrt{576}[/tex]=24

Find the measure of the angle between the two vectors. u = -7i and v = -4i + 4j

Answers

45 degrees and 135 degrees.

Which transformation would move Point A(-5, -2) to Quadrant IV? Mark all that apply.

Answers

To move Point A(-5, -2) to Quadrant IV, we need to apply one or more transformations that result in a reflection about the x-axis and/or a rotation of 180 degrees. The following transformations would move Point A to Quadrant IV:

Reflection about the x-axis: This transformation would change the sign of the y-coordinate, making it positive. So, the image of A after this transformation would be (−5, 2).

Rotation of 180 degrees about the origin: This transformation would change the sign of both the x and y-coordinates, making them positive. So, the image of A after this transformation would be (5, 2).

Therefore, either a reflection about the x-axis or a rotation of 180 degrees would move Point A to Quadrant IV.

3)
Which decimal number is equivalent to
73
100
?

Answers

0.73 is the answer to your question. Just divide

Please Help Quick ASAP Hurry
Two similar solids have a scale factor of 2 : 5
What is the ratio of their volumes expressed in lowest terms?


A cone with volume 2625 m³ is dilated by a scale factor of 15.
What is the volume of the resulting cone?

Answers

a) If two similar solids have a scale factor of 2 : 5, the ratio of their volumes is 8:125, expressed in the lowest terms.

b) If cone with volume 2625 m³ is dilated by a scale factor of 15, the volume of the resulting cone is 10,640,625 m³.

(a) When two solids are similar, their corresponding linear dimensions are in the same ratio, which is known as the scale factor. For example, if two similar solids have a scale factor of 2:5, it means that the corresponding sides of the two solids are in the ratio 2:5.

The volume of a solid is proportional to the cube of its linear dimensions. Therefore, if the linear dimensions of two similar solids are in the ratio 2:5, the ratio of their volumes would be:

(2/5)³ = 8/125

(b) The volume of a cone is given by the formula:

V = (1/3)πr²h

where V is the volume, r is the radius, and h is the height of the cone.

When a cone is dilated by a scale factor of k, its linear dimensions increase by a factor of k, and its volume increases by a factor of k³. Therefore, if the volume of a cone is V and it is dilated by a scale factor of k, the volume of the resulting cone would be:

V' = k³V

In this case, the volume of the original cone is given as 2625 m³, and it is dilated by a scale factor of 15. Substituting these values in the formula, we get:

V' = 15³(2625)

V' = 15³(2625/1)

V' = 10640625

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Question 2 Mohammed and Mira are getting married. They are looking for a catering service for their wedding day. The cost of hiring a catering service to serve food is depends on the number of persons (pax). It costs RM120/pax for 30 persons or less, RM105/pax for 31 to 60 persons, and RM95/pax for 61 to 100 persons. For more than 100 persons, the cost is at RM80/pax. a) Construct the piecewise function for the problem. b) Graph the piecewise functions. c) If they pay RM9025 for the catering service, how many persons that they invite to their wedding? (8 Marks)​

Answers

a) The  piecewise function is 80p, if p > 100 b) For p > 100, the graph will be a straight line passing through the point (100, 100 × 80) with a slope of 8

How to determine the piecewise function for the problem

a) We can define a piecewise function f(p) to represent the cost of catering service depending on the number of persons (pax).

f(p) =

120p, if p ≤ 30

105p, if 31 ≤ p ≤ 60

95p, if 61 ≤ p ≤ 100

80p, if p > 100

b) To graph the piecewise function, we can plot the points for each of the four parts of the function, and connect them with line segments. The graph will have four segments, each with a different slope.

For p ≤ 30, the graph will be a straight line passing through the origin with a slope of 120.

For 31 ≤ p ≤ 60, the graph will be a straight line passing through the point (31, 31 × 105) with a slope of 105.

For 61 ≤ p ≤ 100, the graph will be a straight line passing through the point (61, 61 × 95) with a slope of 95.

For p > 100, the graph will be a straight line passing through the point (100, 100 × 80) with a slope of 80.

c) To find how many persons they invite to their wedding, we can use the inverse function of f(p) and plug in the given cost of RM9025.

Let C = RM9025, then

120p, if p ≤ 30

105p, if 31 ≤ p ≤ 60

95p, if 61 ≤ p ≤ 100

80p, if p > 100

Case 1: p ≤ 30

120p = C

p = C/120 = 9025/120 = 75.2083

Since p must be an integer, we round up to the nearest integer. Therefore, if they invite 76 persons, the cost of catering service will be more than RM9025.

Case 2: 31 ≤ p ≤ 60

Let x = p - 30, then

105x + 120 × 30 = C

105x = C - 3600

x = (C - 3600)/105 = (9025 - 3600)/105 = 54.5238

Therefore, if they invite 31 + 54 = 85 persons, the cost of catering service will be RM9025.

Case 3: 61 ≤ p ≤ 100

Let x = p - 60, then

95x + 120 × 30 + 105 × 30 = C

95x = C - 9750

x = (C - 9750)/95 = (9025 - 9750)/95 = 0.7632

Therefore, if they invite 60 + 0.7632 × 100 = 137 persons, the cost of catering service will be RM9025.

Case 4: p > 100

Let x = p - 100, then

80x + 120 × 30 + 105 × 30 + 95 × 40 = C

80x = C - 17700

x = (C - 17700)/80 = (9025 - 17700)/80 = -109.375

Since p must be a positive integer, this case is not possible.

Therefore, Mohammed and Mira should invite 85 persons to their wedding to pay RM9025 for the catering service.

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12,59,294,1469,7344 what is the pattern rule

Answers

Both equations give the correct terms, so we can conclude that the pattern rule is:  [tex]an^2 - 131n + 80[/tex] , where [tex]a=63[/tex]  .

What is the consecutive terms?

To find the pattern rule for the given sequence 12, 59, 294, 1469, 7344, we need to observe the differences between consecutive terms. Let's find the differences between each pair of terms:

[tex]59 - 12 = 47[/tex]

[tex]294 - 59 = 235[/tex]

[tex]1469 - 294 = 1175[/tex]

[tex]7344 - 1469 = 5875[/tex]

The differences are not constant, so we need to find the differences between these differences:

[tex]235 - 47 = 188[/tex]

[tex]1175 - 235 = 940[/tex]

[tex]5875 - 1175 = 4700[/tex]

Now, the second differences are constant (equal to 940), which suggests that the pattern rule is a quadratic equation. Let's assume the pattern rule is of the form:

[tex]an^2 + bn + c[/tex]

where n is the term number (starting with n=1 for the first term).

To find the coefficients a, b, and c, we can use the first three terms of the sequence. Let's substitute n=1,2,3 into the equation and equate it to the corresponding terms:

[tex]a + b + c = 12 (for n=1)[/tex]

[tex]4a + 2b + c = 59 (for n=2)[/tex]

[tex]9a + 3b + c = 294 (for n=3)[/tex]

We can solve these equations simultaneously to get the values of a, b, and c:

[tex]a = 63[/tex]

[tex]b = -131[/tex]

[tex]c = 80[/tex]

Therefore, the pattern rule for the sequence is:

[tex]an^2 - 131n + 80[/tex]

where a=63.

To check if this pattern rule works for the other terms of the sequence, we can substitute n=4 and n=5:

[tex]a(4^2) - 131(4) + 80 = 1469[/tex]

[tex]a(5^2) - 131(5) + 80 = 7344[/tex]

Therefore, Both equations give the correct terms, so we can conclude that the pattern rule is:

[tex]an^2 - 131n + 80, where a=63.[/tex]

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The test scores of 40 students are listed below.
30 35 43 44 47 48 54 55 56 57
59 62 63 65 66 68 69 69 71 72
72 73 74 76 77 77 78 79 80 81
81 82 83 85 89 92 93 94 97 98
a. Find the standard deviation and the variance for the data
b find the five-number summery for the data
c construct a boxplot for the given data. Include the value of the 5-number summery in the boxplot

Answers

a. the standard deviation is approximately 25.01 and the variance is approximately 625.21.

b.the five-number summary for the data is: 30, 57, 71, 81, 98.

what is standard deviation?

The standard deviation is a measurement of how widely apart a group of data points are from the mean (average) value. You can see how far each data point deviates from the mean value. When the standard deviation is minimal, the data points are densely packed around the mean; when it is great, the data points are more widely spaced from the mean. The standard deviation is a statistical concept that is frequently used to compare the degree of variability across various data sets as well as to infer and make conclusions about a population from a sample.

a. To find the standard deviation and variance for the given data, we can use the following formulas:

Variance: σ² = ∑(x - μ)² / n

Standard deviation: σ = sqrt(σ²)

where x is the data point, μ is the mean of the data, and n is the sample size.

First, we need to find the mean of the data:

μ = (30 + 35 + 43 + 44 + 47 + 48 + 54 + 55 + 56 + 57 + 59 + 62 + 63 + 65 + 66 + 68 + 69 + 69 + 71 + 72 + 72 + 73 + 74 + 76 + 77 + 77 + 78 + 79 + 80 + 81 + 81 + 82 + 83 + 85 + 89 + 92 + 93 + 94 + 97 + 98) / 40

μ = 69.3

Now, we can use the variance formula:

σ² = ∑(x - μ)² / n

σ² = [(30 - 69.3)² + (35 - 69.3)² + ... + (98 - 69.3)²] / 40

σ² = 625.21

Finally, we can find the standard deviation:

σ = sqrt(σ²)

σ = sqrt(625.21)

σ ≈ 25.01

Therefore, the standard deviation is approximately 25.01 and the variance is approximately 625.21.

b. To find the five-number summary, we need to find the minimum, maximum, median, and quartiles (Q1 and Q3) of the data:

Minimum: 30

Q1: 57

Median: 71

Q3: 81

Maximum: 98

Therefore, the five-number summary for the data is: 30, 57, 71, 81, 98.

c. To construct a boxplot for the given data, we can use the five-number summary:

Draw a number line and mark the minimum, Q1, median, Q3, and maximum.

Draw a box from Q1 to Q3.

Draw a vertical line inside the box at the median.

Draw whiskers from the ends of the box to the minimum and maximum, or to the nearest data point within 1.5 times the interquartile range (IQR).

Mark any outliers outside the whiskers.

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what is 6+9f+5+4+3–4f simplified

Answers

Answer:

18+5f

Step-by-step explanation:

6+9f+5+4+3-4f

=11+5f+7

=18+5f

Answer:

18 + 5f

Step-by-step explanation:

To simplify the expression 6 + 9f + 5 + 4 + 3 - 4f, we must combine like-terms.

6 + 5 + 4 + 3 = 18 (6,5,4, and 3 are like-terms because they are all normal integers)

18 + 9f - 4f (9f and 4f are like-terms because they have the same variable f)

18 + 5f

. The students in a furniture-making class make a tabletop shaped like the figure shown. The tabletop has squares cut out of the corners. a. What is the area of the tabletop?​

Answers

The area of the tabletop made by the students in the furniture - making class would be 26 ft ²

How to find the area ?

We can see that this tabletop made by students in the furniture - making class takes the form of a composite shape with two smaller rectangles and one large rectangle.

The area of the large rectangle is:

= 4 ft x ( 1 + 3 + 1 )

= 4 ft x 5 ft

= 20 ft ²

The area of the two smaller rectangles is:

= 2 x ( 3 ft x 1 ft )

= 2 x 3

= 6 ft ²

The total area of the tabletop is:

= 20 + 6

= 26 ft ²

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A binomial experiment with probability of success p=0.45 and n=7 trials is conducted. What is the probability that the experiment results in exactly 1 success?

Answers

The calculated value of the probability that the experiment results in exactly 1 success is 0.08719

Calculating the probability that the experiment results in exactly 1 success?

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

n = 7

x = 1

p = 0.45

The probability is then calculated as

P(x = x) = nCr * p^x * (1 - p)^(n - x)

Substitute the known values in the above equation, so, we have the following representation

P(x = 1) = 7C1 * (0.45)^1 * (1 - 0.45)^(7-1)

Evaluate the expression

So, we have

P(x = 1) = 0.08719

Hence, the probability is 0.08719

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Find the consumers' surplus at a price level of $1 for the price-demand equation

p= D(x) = 20-0.1x
where p is the price and x is the demand. Do not include a dollar sign or any commas in your answer.

Answers

The consumers' surplus at a price level of $1 for the price-demand equation is -1072.5.

Given that price-demand equation p= D(x) = 20-0.1x, we need to find the consumers' surplus at a price level of $1.

So,

From the equation we have,

20-0.1x = 1

0.1x = 19

x = 190

Therefore, the equilibrium point = (190, 1) = (xe, Pe)

Now,

Cs = [tex]\int\limits^{x_e}_0 {D(x)} \ dx\, -Pexe[/tex]

[tex]\int\limits^{190}_0 {20-0.1x} \ dx\, -(190)[/tex]

= 20-0.1{9025}-190

= -1072.5

Hence the consumers' surplus at a price level of $1 for the price-demand equation is -1072.5

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The first three terms of a geometric sequence are as follows.
810, 270, 90
Find the next two terms of this sequence.

Answers

Answer:

30 and 10

Step-by-step explanation:

Main concepts:

Concept 1.  Geometric Sequence

Concept 2. Common ratio

Concept 3. Finding the next terms

Concept 1.  Geometric Sequence

Geometric sequences are a specific type of sequence with a pattern where a specific number is multiplied to each term to get the next term.

For instance, a completely different geometric sequence 1,2,4,8,16,... is geometric because you multiply any term by 2 to get the next term.

Concept 2. Common ratio

In a geometric sequence, this number that you can multiply by to get the next term (in the "1,2,4,8,16,..." example, the number 2) is called the common ratio because taking the ratio of two sequential terms of the sequence (dividing two terms in a row) always gives the same answer:

2/1 = 24/2 = 28/4 = 216/8 = 2

This process of finding ratios will yield a common ratio only if the sequence is a Geometric Sequence.

Concept 3. Finding the next terms

Since we're told that the sequence we're given in the question is a Geometric sequence, it must have a common ratio (otherwise, it wouldn't be a geometric sequence).

Find the common ratio by dividing sequential terms:

270/810 = 1/3

90/270 = 1/3

So, for the sequence in the question, the common ratio is 1/3.  Each term is multiplied by 1/3 to get the next term in the sequence.  (This is equivalent to dividing each term by 3 to get the next term in the sequence, if you prefer division and/or to avoid fractions)

So, to get the next two terms in the sequence, multiply by the common ratio:

90 * 1/3 = 30

30 * 1/3 = 10

So, the next two terms of the sequence are 30 and 10

Consider a tech company that wants to offer free breakfast to its employees if their confidence interval shows it will decrease the
proportion of employees who skip breakfast.
Each interval shows the difference in proportion of p₁ - P2 where p₁ represents the employees who skip breakfast when free
breakfast is offered and p2 represents the employees who skip breakfast when free breakfast is not offered. Determine if there is
enough evidence to suggest that offering free breakfast results in an increase in the proportion of employees who don't skip
breakfast.

(-0.44,-0.16)

Yes, we can be confident that employees will skip breakfast less when free breakfast is offered than when it's not.

Or

No, our confidence interval shows that there could be no difference in the proportion of employees who skip breakfast.



(-0.25, 0.05)

Yes, we can be confident that employees will skip breakfast less when free breakfast is offered than when it's not.

Or


No, our confidence interval shows that there could be no difference in the proportion of employees who skip breakfast.



(-0.23, 0.15)

Yes, we can be confident that employees will skip breakfast less when free breakfast is offered than when it's not.

Or

No, our confidence interval shows that there could be no difference in the proportion of employees who skip breakfast.

Answers

Answer:

Step-by-step explanation:

In this scenario, the confidence interval represents the possible range of differences in the proportion of employees who skip breakfast when free breakfast is offered and when it's not. A confidence interval that does not include zero indicates that there is statistically significant evidence to suggest a difference in proportions between these two groups.

Therefore, for the first interval (-0.44,-0.16), since it does not include zero, we can be confident that offering free breakfast results in a decrease in the proportion of employees who skip breakfast.

For the second interval (-0.25, 0.05), since it contains zero, we cannot be confident that there is a difference in the proportion of employees who skip breakfast between the two groups.

Similarly, for the third interval (-0.23, 0.15), since it contains zero, we cannot be confident that there is a difference in the proportion of employees who skip breakfast between the two groups.

So, the correct answer is:

For the interval (-0.44,-0.16), we can be confident that employees will skip breakfast less when free breakfast is offered than when it's not.

For the intervals (-0.25, 0.05) and (-0.23, 0.15), our confidence interval shows that there could be no difference in the proportion of employees who skip breakfast.

What kind of geometric transformation is shown in the line of music?

reflection
translation
glide reflection

Answers

Answer is Glide Reflection

a glide reflection is a symmetry operation that consists of a reflection over a line and then translation along that line, combined into a single operation.

You can see the notes in this line of music translate or “glide” and “reflect” over the line

solve the rational equation 2/x-2+3/x-4=1/x^2=6x+8

Answers

the solution to the original rational equation is: [tex]x = 4.678[/tex] (rounded to three decimal places)

What is the rational equation?

A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not zero. In other words, it is a number that can be written in the form of a/b, where a and b are integers and b is not equal to zero

According to Information

There are two equal signs in the equation, which is incorrect. Assuming you meant to write:

[tex]2/(x-2) + 3/(x-4) = 1/(x^2 + 6x + 8)[/tex]

We can start by finding a common denominator for the left-hand side of the equation:

[tex]2/(x-2) + 3/(x-4) = 1/[(x+2)(x+4)][/tex]

Multiplying both sides of the equation by (x-2)(x-4)(x+2)(x+4), we get:

[tex]2(x-4)(x+2)(x+4) + 3(x-2)(x+2)(x+4) = (x-2)(x-4)[/tex]

Expanding and simplifying, we get:

[tex]5x^3 - 19x^2 - 39x + 56 = 0[/tex]

This polynomial equation does not factor nicely, so we can use the rational root theorem or numerical methods to find approximate solutions. Using a calculator or computer, we find that there is one real solution to the equation:

[tex]x \approx 4.678[/tex]

Therefore, the solution to the original rational equation is:

[tex]x = 4.678[/tex] (rounded to three decimal places)

Learn more about equation here:

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Which expression is equivalent to 5(6x + 3y)?

A 11x+3y

B 11x+8y

C 30x+3y

D 30x+15y

Answers

Answer:

The answer is **D. 30x+15y**.

```

5(6x + 3y) = 5*6x + 5*3y = 30x + 15y

```

Step-by-step explanation:

1. Distribute the 5:

```

5(6x + 3y) = (5 * 6x) + (5 * 3y)

```

2. Simplify:

```

5(6x + 3y) = 30x + 15y

```

Therefore, 5(6x + 3y) is equivalent to 30x + 15y.

Help Please The sum of two even numbers is even. The sum of 6 and another number is even. What conjecture can you make about the other number?
A) The other number is odd.
B) The number is even.
C) Not enough information.
D) The number is 8.

Answers

Answer:

the number is even

Step-by-step explanation:

an even number plus an even number will aalways be even. adding 6 to an odd number will never be even. Therefore the number will be even

Matthew is working two summer jobs, making $9 per hour babysitting and making $13 per hour landscaping. In a given week, he can work a maximum of 16 total hours and must earn at least $180. If Matthew worked 3 hours babysitting, determine the maximum number of whole hours landscaping that he can work and still meet his requirements. If there are no possible solutions, submit an empty answer.

Answers

Answer:

Step-by-step explanation:

3 hours of babysitting = $27

if he needs $180 per week he needs to work at least 12 hours in landscaping.

12 hours of Landscaping = $156

156 + 27 = 183

It cuts down about an hour of work.

If I misunderstood something, please let me know. Have a good day :)

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