Solve the inequality for x and identify the graph of its solution.3|x + 1|<6

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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To find the equation in standard form of a parabola that models the values in a table, you need to identify the vertex and either a point on the parabola or the axis of symmetry. Once you have this information, you can use the standard form of the equation for a parabola: y = a(x-h)^2 + k, where (h,k) is the vertex and a is the coefficient that determines whether the parabola opens up or down.

Assuming you have this information, you can substitute the values for h, k, and a into the standard form equation to find the equation that models the values in the table. Keep in mind that if the coefficient a is positive, the parabola opens upward, and if a is negative, it opens downward.

Overall, finding the equation in standard form of a parabola requires knowing the vertex and either a point or the axis of symmetry. From there, you can use the standard form equation and substitute in the appropriate values to model the data in the table.

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Answer:

Step-by-step explanation:

Solve by ratios:

x = 20.5*12.8/4.7 ≈ 55.83 ft

The sampling distribution is based on the assumption that the null hypothesis is true.

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

A two-tailed test can be defined as a type of hypothesis test in which a rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution.

In this context, we can infer and logically deduce that the sampling distribution is based on the assumption that the null hypothesis is true.

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\(\tt Step-by-step~explanation:\)

\(\tt~1:\)

First, let's observe the diagram. line a is parallel to line b, so that means ∠2 and ∠6 are congruent. They are corresponding angles.

\(\tt 2:\)

If ∠2 and ∠6 measures 78º, then that means the angles that are vertical to these angles, ∠4 and ∠8, are also congruent to each other.

\(\large\boxed{\tt Our~final~answer:Angles~4,6,8}\)

If you would like to know what the other angles' measures are, you could simply subtract 78º from 180. A straight line measures 180º.

\(\large\txt{\tt 180-78=102}\)

\(\small\boxed{\tt Other~angles'~measures:~102}\)

Answer:

137°

Step-by-step explanation:

90+47= 137°

the sum of two interior angles is equally to the further exterior angle.

Answer:

B

Step-by-step explanation:

If we let the first square represent n=1, then every box with a number that leaves a remainder of 1 when divided by 5 be colored.

This makes B the correct answer.

Answer:

Step-by-step explanation:

Find the constant of proportionality k in each case and compare

A)

B)

C)

D)

As we see k = 0.3 is the highest one

We need unit rates for all

#A

#B

#C

#D

A has highest

Answer:

9

Step-by-step explanation:

5+ (square root of 4 is 2)

2x2=4

4+5=9

In this question, we are given a subset "c" of a set "v" with a specific property.

The property states that if both "u" and "v" belong to "c", then the point "1" that lies between "u" and "v" also belongs to "c".

Now, let's assume that "w" is an element of "v". We need to show that there can be at most one point "u" in "c" that is closest to "w".

To prove this, we can use proof by contradiction. Let's assume that there are two points "u1" and "u2" in "c" that are closest to "w".

Since "u1" is closest to "w", the distance between "w" and "u1" must be less than the distance between "w" and any other point "v" in "c". Similarly, the distance between "w" and "u2" must also be less than the distance between "w" and any other point "v" in "c".

Now, consider the point "1" that lies between "u1" and "u2". By the given property of "c", since both "u1" and "u2" belong to "c", the point "1" also belongs to "c".

But this contradicts our assumption that "u1" and "u2" are the closest points to "w". If "1" belongs to "c", then the distance between "w" and "1" would be smaller than the distances between "w" and "u1" and between "w" and "u2". This contradicts our initial assumption.

Therefore, we can conclude that there can be at most one point "u" in "c" that is closest to "w".

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Answer:

36/4 = 9 years old

Step-by-step explanation:

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Answer:

she would be nine yes old I believe

Step-by-step explanation:

36 divide by 4 equals 9

hope this helps

Step-by-step explanation:

it's probably A i guess.

Answer:

i think ANSWER IS 8

Step-by-step explanation:

48÷8 = 6

Answer:

8 would be your answer if I'm wrong pls let me know and I will edit soon as posable.

Step-by-step explanation:

the way I did it was doing 48 divided by 6 and I got the answer 8 meaning 8 would be the correct answer

There are 1176 is the minimum whole number of tiles Tomás needs to completely cover the rectangular floor.

Rectangle:

Rectangle means a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles.

Given,

Tomás wants to tile a rectangular floor with square tiles that measure 12 inches on a side. The floor measures 10 feet 6 inches long by 8 feet 6 inches wide.

Here we need to find if he is able to cut the tiles without waste, what is the minimum whole number of tiles Tomás needs to completely cover the floor.

Here we have to convert the feet into inches for easy calculation,

1 feet = 12 inches

So, the length is ,

l = 120 + 6 = 126 inches

w = 96 + 6 = 112 inches

So, the area of the floor is,

=> l x w

=> 126 x 112

=> 14,112

Here we need to use 12inches square tile,

So,

=> 14112 / 12

=> 1176.

Therefore, there are 1176 tiles are need to cover the floor.

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Answer:

58 out of 100 is

58/100

as a decmil that is

0.58

Hope That Helps!!!

The given linear programming problem can be analyzed by examining its constraints and objective function.

We are asked to minimize the objective function Z = 1X + 1Y, subject to the constraints:

1. 5X + 3Y < 30
2. 3X + 4Y > 36
3. Y < 7
4. X, Y > 0

To determine whether the problem exhibits infeasibility, unboundedness, or alternate optimal solutions, we'll analyze its feasible region.

Step 1: Plot the constraints on a graph and find the feasible region.
Step 2: Analyze the feasible region and identify its properties.

After plotting the constraints, we find that there is no common area satisfying all constraints.

This indicates that the problem exhibits infeasibility, meaning there is no solution that satisfies all the constraints simultaneously.

In this case, there are no alternate optimal solutions or unboundedness present since no feasible solution exists.

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Answer:

h=3

Step-by-step explanation:

divided the 21 by the 7

Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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(a) The independent variable is age (a) and the dependent variable is population (P).

(b) P(20) = 6.38 million. This means that 6.38 million Americans were 20 years or older in 2015.

(c) P(0) = 363.804 million. This means that 363.804 million Americans were 0 years or older in 2015.

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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(a) The random variable Y_t is not strictly stationary.

(b) The random variable Y_t is covariance stationary.

The time series Y_t = Usin(2pit) + V cos(2pit) is not strictly stationary since the joint probability distribution of any collection of time points is not invariant to shifts in time.

However, it is covariance stationary since its mean and autocovariance function are constant over time. Understanding the properties of a time series is important for selecting appropriate statistical models and making accurate forecasts.

In the field of time series analysis, two important concepts are strict stationarity and covariance stationarity. These concepts help us understand the properties of a time series and determine whether it is suitable for modeling and forecasting.

In this question, we will discuss the strict and covariance stationarity of a time series Y_t, which is defined as Y_t = Usin(2pit) + V cos(2pit), where U and V are independent random variables with mean 0 and variance 1.

(a) Is Y_t strictly stationary?

A time series is said to be strictly stationary if the joint probability distribution of any collection of time points is invariant to shifts in time. In other words, if we shift the time series by a certain amount, the statistical properties of the time series remain the same.

For example, if we shift Y_t by one hour, the statistical properties of Y_t and Y_{t+1} should be identical.

In the case of Y_t = Usin(2pit) + V cos(2pit), it is easy to see that the mean and variance of the time series are constant over time, as U and V have mean 0 and variance 1. However, the covariance between Y_t and Y_{t+h} depends on h, the time lag.

This is because the sine and cosine functions are periodic with a period of 2π, which means that the covariance between Y_t and Y_{t+h} depends on the phase difference between the sine and cosine functions at time t and t+h.

Thus, Y_t is not strictly stationary since the joint probability distribution of any collection of time points is not invariant to shifts in time.

(b) Is Y_t covariance stationary?

A time series is said to be covariance stationary if its mean and autocovariance function are constant over time. In other words, if we shift the time series by a certain amount, the statistical properties of the time series remain the same on average.

For example, if we shift Y_t by one hour, the mean and autocovariance function of Y_t and Y_{t+1} should be identical.

In the case of Y_t = Usin(2pit) + V cos(2pit), we have already established that the mean and variance of the time series are constant over time.

To determine whether the autocovariance function is constant over time, we can calculate the autocovariance function between Y_t and Y_{t+h} for different values of h.

The autocovariance function between Y_t and Y_{t+h} is given by:

γ(h) = Cov(Y_t, Y_{t+h}) = E[(Usin(2πt) + Vcos(2πt))(Usin(2π(t+h)) + Vcos(2π(t+h)))]

After some algebraic manipulation, we get:

γ(h) = E[U^2]cos(2πh) + E[V^2]sin(2πh)

Note that this is a function of h only and does not depend on t. Therefore, the autocovariance function of Y_t is constant over time, and Y_t is covariance stationary.

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If G(x) or H(x) is the inverse of F(x) for the domain x2 then Option B. H(x) is the inverse of F(x) is correct

To determine if G(x) or H(x) is the inverse of F(x), we need to perform function composition and check if it results in the identity function.

Let's start by finding the composition of F(x) and G(x):

(F ∘ G)(x) = F(G(x))

= F((x + 2)²)

= √((x + 2)² - 2)

= √(x² + 4x + 4 - 2)

= √(x² + 4x + 2)

Now let's find the composition of F(x) and H(x):

(F ∘ H)(x) = F(H(x))

= F(x² + 2)

= √(x² + 2 - 2)

= √(x²)

= x

To determine if either G(x) or H(x) is the inverse of F(x), we need to check if the composition results in the identity function.

The identity function is defined as f(x) = x.

Comparing the composition results:

(F ∘ G)(x) = √(x² + 4x + 2)

(F ∘ H)(x) = x

Since (F ∘ H)(x) equals x, we can conclude that H(x) is the inverse of F(x) for the given domain x² ≥ 2.

Therefore, the correct answer is: Option B. H(x) is the inverse of F(x).

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1.d

2.d

hope it helps

...............

Answer:

Find the area of each figure. Click and drag each label to its correct figure.

Step-by-step explanation:

You're welcome.

1. Communicating via e-mail is a traditional use of computers.

2. Creating advertisements and paying someone to publicize them is a traditional use of computers.

3. Communicating via social networking websites is a new use of computers.

4. Collaborating as a virtual team is a new use of computers.

5. Manually managing financial, inventory, and scheduling records is a traditional use of computers.

1. Communicating via e-mail is a use of computers:

This is a traditional use of computers. Computers have long been used for sending and receiving emails, which allows for efficient and instant communication between individuals and organizations.

2. Creating advertisements and paying someone to publicize them is a use of computers:

This statement can be considered both a traditional and a new use of computers. While the act of creating advertisements can involve traditional methods like graphic design software on computers, the mention of paying someone to publicize them suggests a more modern approach, potentially involving digital marketing platforms and online advertising.

3. Communicating via social networking websites is a use of computers:

This is a new use of computers. Social networking websites have become popular platforms for communication and connecting with others. Computers and internet access are essential for engaging in social networking activities.

4. Collaborating as a virtual team is a use of computers:

This is a new use of computers. With advancements in technology, virtual teams can collaborate remotely using computers and various online collaboration tools. This allows team members to work together, share documents, communicate, and coordinate their efforts, regardless of their physical location.

5. Manually managing financial, inventory, and scheduling records is a use of computers:

This is a traditional use of computers. Computers have been widely used for managing and organizing various records, such as financial transactions, inventory management, and scheduling. This digital approach provides more efficient data storage, retrieval, and analysis compared to manual record-keeping methods.

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Complete Question:

Use the drop-down menus to indicate whether each statement describes a traditional use of computers or a new use.

Answer:

The minimum monthly income required by the lender is $5214.30

Step-by-step explanation:

Here, we want to calculate the minimum monthly income required by the lender

From the question, we have that the monthly payment must not exceed 28% of the buyer’s monthly income

So in this case, let the monthly income be x

So therefore;

28% of x = 1460

Thus;

28/100 * x = 1460

28x = 100 * 1460

x = (100 * 1460)/28

x = 5214.30

Answer:

start by going to the left three spaces over on the "X" axis (-3)

then go down seven spaces until both the "X" axis is over -3 and the -7 is on "Y" axis

(hope I helped)

Based on the given information that t(26) = 3.13 and p < 0.05, the decision would be to reject the null hypothesis.

In hypothesis testing, the null hypothesis is typically a statement of no effect or no difference between groups, and rejecting the null hypothesis suggests that there is evidence of a significant effect or difference.

Since the p-value is less than 0.05, it means that the probability of obtaining the observed results by chance alone, assuming the null hypothesis is true, is less than 5%.

Therefore, the results are considered statistically significant at the 0.05 level.

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Answer:

Measure of angle B is 70 degrees

Step-by-step explanation:

If they are both supplementary, it means that add up to be 180 degrees

Thus;

5x + 25 + 3x + 19 = 180

8x + 44 = 180

8x = 136

x = 136/8

x = 17

Measure of angle B will be;

3(17) + 19

= 51 + 19 = 70 degrees