y=x-7 fill in the table with the corresponding x values

Answer:

I think that it would take her 27 minutes

Answer:

21 degrees

Step-by-step explanation:

A Triangle has the total of 180 degrees. 180 - 73 - 86 = 21

Solving an equation in algebra - mathematics will BOMDAS rule. Multiplication, division, addition, and subtraction are performed before.

However, in order to simplify things, if there are any exponential or logarithmic components, solve them first before applying BOMDAS to reduce them to a single solvable term. This is required by the rules.

So the list goes as

1. Exponents

2. Roots

3. Multiplication

4. Division

5. additional

6. Subtraction

However. Using a regular or scientific calculator will generate a lot of debate. A scientific calculator will adhere to the principles, while a typical calculator will evaluate from left to right or precisely the operator used first.

Using a scientific calculator, 5+2x3=11 instead of the normal one's 5+2x3=21.

Furthermore, the preferred behavior norm for division and multiplication is different.

Thus, people's difficulty with mathematics is not unjustified. The choice of how you want to approach it is ultimately up to you.

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Assuming that the resistance faced while coasting is equivalent to the square of its velocity, the boat will coast a distance of around 332.98 feet in the first two minutes after its motor shuts off.

of a boat with a motor that has failed.

Starting with the stated differential equation, dv/dt = -kv2, where v represents the motorboat's speed and k is a proportionality constant, we can begin to address this issue.

By rewriting the equation in the following format, we may separate the variables:

dv/v2 equals -k dt

Including both sides results in:

(-1/v) = -kt + C (-1/83) = 0 + C (C = -1/83) D = v dt = (-1/v + 1/83) C' d = -ln|v| + (t/83) - 1.0986 d = -ln|23| + (120/83) - 1.0986 d = 332.98 ft

Hence, assuming that the resistance faced while coasting is equivalent to the square of its velocity, the boat will coast a distance of around 332.98 feet in the first two minutes after its motor shuts off.

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We want to find which x value, when we substract 7 to it, is less than 3. In order to find it out, we just have to replace x with each option:

A. 9 → x - 7 → 9 - 7 = 2

B. 10 → x - 7 → 10 - 7 = 3

C. 11 → x - 7 → 11 - 7 = 4

D. 12 → x - 7 → 12 - 7 = 5

Then, the only option that is is less than 3 is 2

2 < 3

Answer:

25

Step-by-step explanation:

8x-20=180

8x=200

x=25

From the above-mentioned data, it can be inferred that: When the price of good 1 decreases, the substitution effect causes the individual to change consumption of good 1 by 10 while the income effect causes the individual to change consumption of good 1 by −6.

The total effect can be calculated as the sum of both substitution and income effects. The total effect = substitution effect + income effect= 10 - 6= 4Thus, the total effect is 4.Now, to determine whether good 1 is normal or inferior, we need to consider the sign of the income effect.

If the income effect is negative, the good is inferior, and if it's positive, the good is normal.Since the income effect here is negative (-6), we can conclude that good 1 is inferior.

According to the given data, we can calculate the total effect, which is the sum of the substitution and income effects.  The substitution effect refers to the change in consumption of a good due to the relative price change, while the income effect refers to the change in consumption of a good due to the purchasing power change.  when the price of good 1 decreases, the substitution effect causes the individual to change consumption of good 1 by 10, while the income effect causes the individual to change consumption of good 1 by −6. Therefore, the total effect can be calculated as the sum of both substitution and income effects, which is 10 - 6 = 4.From the data, it can also be determined whether good 1 is normal or inferior. A good is considered normal when its income effect is positive and inferior when its income effect is negative. Since the income effect here is negative (-6), it can be concluded that good 1 is inferior.Thus, the total effect is 4, and good 1 is inferior.

The total effect is 4, and good 1 is inferior.

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Answer:

d

Step-by-step explanation:

3/5

5 poster boards in total and 3 are colour so...

it is  3/5

Hope this helps!

Answer:

8

Step-by-step explanation:

In the movie "Norma Rae," Ruben and Norma Rae employ various tactics to gain the support of the factory workers. They use a combination of personal connections, persuasive speeches, and symbolic actions to rally the workers and encourage them to join the union. Through their efforts, they aim to bring about better working conditions and fair treatment for the factory employees.

Ruben and Norma Rae form relationships with their fellow workers to build trust and solidarity. For example, Norma Rae's friendship with fellow worker and friend, Bonnie, allows her to spread the message of unionization effectively. They also deliver powerful speeches to inspire their colleagues. Norma Rae, in particular, stands on a table and holds up a sign with the word "UNION," capturing the attention of the workers and symbolically representing their collective desire for change. These actions and tactics help mobilize the workers, raising awareness of their rights and the need for collective action.

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The conservationist expects to be in the lake would be; 142 trouts.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given, that determine the number of trout in a lake, a conservationist catches 200 trout, tags them, and throws them back into the lake.  

We have to find conservationists who expect to be in the lake.

Now, initially, trout count = 200

Then, again 56 trouts caught then, trout count = 200 + 56

But 14 of them are tagged that means; they are part of 200 trouts so we should not count again in 56 trouts.

So, trout count = 200 + 56 – 14  = 142.

Hence, the conservationist expects would be; 142 trouts.

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Answer:  12 different outfits

===========================================================

Explanation:

We simply multiply the values given to us. Think of a table that has 3 rows and 4 columns. The rows represent the different colors of pants Terry can wear. Each column is a different color shirt. Since we have 3 rows and 4 columns, we have 3*4 = 12 cells inside the table. Each cell represents a combination of pants and shirt colors. This means there are 12 different outfits possible.

Answer:

12

Step-by-step explanation:

if he has 3 pairs of pants and doesn't care what colors he wears then each shirt can go with the pants once and since there a 4 shirts and three pants then 3 times 4 =12

Answer:-7/3x-18/7

Step-by-step explanation:

See attached picture

9x + 3 = 30
9x = 27
x = 3

Then 3x + 1 = 3 * 3 + 1 = 10

\(9x + 3 = 30 \\ \\ 9x = 30 - 3 \\ \\ 9x = 27 \\ \\ x = \frac{27}{9} \\ \\ x = 3.\)

putting x = 3 in 3x + 1

\(3x + 1 \\ \\ 3 \times 3 + 1 \\ \\ 9 + 1 \\ \\ 10.\)

The value of 3x + 1 is 10.

Answer: it B. 2.78%

Step-by-step explanation: if it wrong sorry

Answer:

D

Step-by-step explanation:

we know how to find a percent by making it a fraction out of 100

36/100 is 36% so D

Chris likely relies on expert power when working with organizations to improve workforce efficiency.

Expert power is a type of power that is based on an individual's knowledge, skills, expertise, and experience in a particular field. In the case of Chris, who has an advanced degree and extensive experience working with organizations worldwide, his expertise and knowledge in improving workforce efficiency make him a credible and influential consultant.

Chris's advanced degree indicates that he has invested time and effort in acquiring specialized knowledge in his field. Additionally, his vast experience working with organizations globally suggests that he has gained valuable insights and practical expertise in identifying and implementing strategies to enhance workforce efficiency. This knowledge and experience provide Chris with the ability to offer unique and valuable advice, guidance, and solutions to organizations.

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After solving, the height in feet of the sixth bounce is 1.892 feet.

In the given question, we ave to find the height, in feet, of the sixth bounce.

From the given question,

Height on the first bounce = 6.7

Subsequent bounce reaches a height of the previous bounce = 81%

Suppose the height is h.

So according to the question:

h(6) = height on the first bounce*(subsequent bounce reaches a height of the previous bounce)^6

h(6) = 6.7*(81%)^6

h(6) = 1.892 feet

So the height of sixth bounce is 1.892 feet.

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To find the state matrices X_1, X_2, and X_3, we can use the transition probability matrix P and the initial state matrix X_0.

P = [0.6 0.2 0.1

0.3 0.7 0.1

0.1 0.1 0.8]

X_0 = [0.1 0.2 0.7]

To calculate X_1, we multiply the transition probability matrix P with the initial state matrix X_0:

X_1 = P * X_0

To calculate X_2, we multiply P with X_1:

X_2 = P * X_1

Similarly, to calculate X_3, we multiply P with X_2:

X_3 = P * X_2

Performing these matrix multiplications will give us the state matrices X_1, X_2, and X_3.

Note: Since the provided matrix P has a dimension of 3x3 and the initial state matrix X_0 has a dimension of 1x3, the resulting state matrices X_1, X_2, and X_3 will also have a dimension of 1x3.

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To find the state matrices X₁, X₂, and X₃ given the transition probabilities matrix P and the initial state matrix X₀, we can apply matrix multiplication repeatedly.

P = [0.6 0.2 0.1

0.3 0.7 0.1

0.1 0.1 0.8]

X₀ = [0.1

0.2

0.7]

To find X₁, we multiply P with X₀:

X₁ = P * X₀

To find X₂, we multiply P with X₁:

X₂ = P * X₁ = P * (P * X₀)

To find X₃, we multiply P with X₂:

X₃ = P * X₂ = P * (P * (P * X₀))

Performing the matrix multiplications, we get:

X₁ = [0.6 0.2 0.1] * [0.1

0.2

0.7] = [0.06 + 0.04 + 0.07

0.03 + 0.14 + 0.07

0.01 + 0.02 + 0.56]

X₁ = [0.17

0.24

0.59]

X₂ = [0.6 0.2 0.1] * [0.17

0.24

0.59] = [0.048 + 0.048 + 0.059

0.023 + 0.168 + 0.059

0.007 + 0.048 + 0.472]

X₂ = [0.155

0.25

0.527]

X₃ = [0.6 0.2 0.1] * [0.155

0.25

0.527] = [0.042 + 0.031 + 0.053

0.021 + 0.175 + 0.053

0.006 + 0.05 + 0.422]

X₃ = [0.126

0.249

0.478]

Therefore, the state matrices are:

X₁ = [0.17

0.24

0.59]

X₂ = [0.155

0.25

0.527]

X₃ = [0.126

0.249

0.478]

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Answer:

Step-by-step explanation:

Hint:  1- 2sin²x = Cos 2x

LHS = 1 - 2Sin² (π/4 - Ф/2)

        =  Cos 2 *(π/4 - Ф/2)

        = Cos 2*π/4 - 2*Ф/2

         = Cos π/2 - Ф

         = Sin Ф =  RHS

Answer:

RHS=sinA

Step-by-step explanation:

LHS=1-2sin^2(45-A/2)

=cos2(45-A/2)

=cos(90-A)

=sinA proved.

Answer:

6

Step-by-step explanation:

add them all together which will get you 24

then divide by the number of months

24/4=6

Answer:

12/13

Step-by-step explanation:

cos Y = adjacent side/ hypotenuse

Answer:

11 m= 3      12 slope is 4 and y intercept is 2

Step-by-step explanation:

11 slope = gradient of a line                            formulae        y2-y1  / x2 - x1  

12-6 / 4-2 =3                                

12 slope is the gradient so and is found as m in the equation y=mx + c

so 4 is the slope and the y intercept is where x= 0 so y = 2

The division of labor, or specialization of tasks, has boosted efficiency and productivity in the United States, thereby stimulating economic growth. It also facilitates the growth of factories and mass production, which further contributes to the overall economic growth of the country.

Division of labor:

Division of labor is the process of dividing the work of producing goods and services into separate tasks performed by different people or groups of people. Division of labor is an economic concept that states that dividing a production process into stages allows workers to focus on specific tasks. If workers can concentrate on a small aspect of production, as long as sufficient quantities and quantities are produced, overall efficiency will increase.

This division is generally based on the skills, expertise and resources of the worker, as well as the wants and needs of the market.

The purpose of division of labor is to increase efficiency and productivity by allowing workers to specialize in specific tasks and develop expertise in those tasks. This can lead to better quality products and services and lower costs. The division of labor is a key concept in economics and an important factor in the development and growth of societies.

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a) We cannot definitively say that exactly 38% of Americans approved the job of the president. b) The 95% confidence interval is (0.312, 0.448). c) The 95% confidence interval is (0.067, 0.123). d) The 95% confidence interval is (0.026, 0.050). e) At least 1459 people should be interviewed.

(a) Based on the poll result, we cannot definitively say that exactly 38% of Americans approved the job of the president. The poll only surveyed a sample of 150 randomly selected adults, and the result showed that 57 of them approved. This provides an estimate of the approval rate, but it may not represent the entire population of Americans. To make a definitive statement about the approval rate of Americans, a larger and more representative sample would be needed.

(b) To determine the 95% confidence interval for the approval rate of the president's job in the United States, we can use the formula for a confidence interval for a proportion. The formula is:

CI = p ± z * √((p(1 - p)) / n)

where p is the sample proportion (57/150), z is the critical value for a 95% confidence level (which corresponds to approximately 1.96), and n is the sample size (150).

Substituting the values into the formula:

CI = (57/150) ± 1.96 * √(((57/150)(1 - 57/150)) / 150)

Simplifying the expression:

CI ≈ 0.38 ± 0.068

Therefore, the 95% confidence interval for the approval rate of the president's job in the United States is approximately 0.312 to 0.448.

(c) Using the same formula as in part (b), but with a sample size of 400 and a sample proportion of 38/400, we can calculate the 95% confidence interval:

CI = (38/400) ± 1.96 * √(((38/400)(1 - 38/400)) / 400)

CI ≈ 0.095 ± 0.028

The 95% confidence interval for the approval rate is approximately 0.067 to 0.123.

(d) Similarly, with a sample size of 1000 and a sample proportion of 38/1000, the 95% confidence interval is:

CI = (38/1000) ± 1.96 * √(((38/1000)(1 - 38/1000)) / 1000)

CI ≈ 0.038 ± 0.012

The 95% confidence interval for the approval rate is approximately 0.026 to 0.050.

(e) To determine the sample size required to reduce the size of the 95% confidence interval to 4% or less (±2%), we can rearrange the formula for the confidence interval as follows:

n = (\(z^2\) * p(1 - p)) / \(E^2\)

where n is the required sample size, z is the critical value for a 95% confidence level (1.96), p is the estimated proportion (0.38), and E is the desired margin of error (0.02).

Plugging in the values:

n = (\(1.96^2\) * 0.38(1 - 0.38)) / \(0.02^2\)

Simplifying the expression:

n ≈ 1458.88

Therefore, to achieve a 95% confidence interval with a margin of error of 4% or less, at least 1459 people should be interviewed.

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Answer:

top left

Step-by-step explanation:

If you look at both equations they both have 2x in them. This makes it easier to eliminate x. To eliminate x we must subtract the second equation from the first (because 2x - 2x = 0).

The monthly repayment on the following hire-purchase agreement is £22.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a colour TV costs £640. The deposit was £200. The interest rate was 10% p.a. and it was paid off in two years.

The monthly repayment will be calculated as,

Total interest for two years = ( 640 - 200 ) x 1.2

Total interest for two years = ( 440 x 1.2 )

Total interest for two years = £528

The value of monthly repayment = 528 / 24 = £22

Therefore, the monthly repayment on the following hire-purchase agreement is £22.

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9514 1404 393

Answer:

Step-by-step explanation:

Using the first equation to write an expression for y, we get ...

  y = 15 -x

Substituting that into the second equation gives ...

  30x +20(15 -x) = 270

  10x +300 = 270 . . . . . . . . . simplify

  10x = -30 . . . . . . . . . . . . . subtract 300

  x = -3 . . . . . . . . . . . . . . divide by 10

  y = 15 -(-3) = 18 . . . . find the corresponding value of y

The number of adult tickets sold is -3; the number of children's tickets sold is 18.

_____

Additional comment

If 15 tickets were sold for 270 the way your problem statement says, then the average ticket price is 270/15 = 18 per ticket. You show the ticket prices to be 20 for children and 30 for adults. That is, the average price is expected to be between 20 and 30. There is something wrong with this problem.