The function f is defined by the following rule
f(x)=2x-1
Complete the function table

The correct number sentence is d. |12| > |-48|. This means that the absolute value of 12 is greater than the absolute value of -48.

Absolute value represents the distance of a number from zero on the number line. In option a, 12 is less than the absolute value of -12, which is 12. This is not true because 12 is not less than 12. In option b, the absolute value of -12 is 12, and it is indeed less than the absolute value of -48, which is 48. Therefore, option b is also false.

Moving on to option c, the absolute value of -48 is 48, and it is not less than the absolute value of 48, which is also 48. This means that option c is false as well.

Finally, in option d, the absolute value of 12 is 12, and it is greater than the absolute value of -48, which is 48. Hence, option d is the only true statement among the given options.

To summarize, the correct number sentence is d. |12| > |-48|, as the absolute value of 12 is greater than the absolute value of -48.

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A computation time expression ~ n, of means that the computation time increases in proportion to the size of the input.

This presents a computational complexity of O(n). Here 'O' stands for 'Big O Notation' and is used to denote an upper bound on the computational complexity of the algorithm.

That's, the algorithm's computational complexity is straightforwardly corresponding to the measure of the input information.

This shows that as the input estimate increments, the computational time will increment at the same rate.

 Linear time complexity is considered to be very efficient, and many algorithms aim to achieve this level of complexity. This is a relatively efficient computational complexity and is common in algorithms that require only one pass through the input data. 

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If we firstly consider only the terms in x.

subtract 2x from both sides of the equation

⇒5+2x

−2x=2x−2x

+6

Observe that the x terms are eliminated and we are left with

5+0=0+6 that is 5=6 which is invalid

There is no solution to this equation.

Answer:

no solution

Step-by-step explanation:

Given

5 + 2x = 2x + 6 ( subtract 5 from both sides )

2x = 2x + 1 ( subtract 2x from both sides )

0 = 1 ← not possible

Thus indicates the equation has no solution

Answer:

STEP 1:

The coordinates of the trees are

A (80, 0), B(50, -100), C(-60, -120), D(-70, 80), E(10, 110)

Drawing a pentagon online

The lengths are

STEP 2:

Length A to B = 10√109

Length B to C =  50√5

Length C to D = 10√401

Length D to E = 10√73

Length E to A = 10√170

STEP 3:

The perimeter = 632.28 ft

STEP 4:

Company 1 Completion of job cost = $8851.93

Company 2 Completion of job cost = $8436.13

STEP 5:

The company that will complete the job with the least amount of money is Company 2

Step-by-step explanation:

STEP 1:

The coordinates of the trees are

A (80, 0), B(50, -100), C(-60, -120), D(-70, 80), E(10, 110)

Drawing a pentagon online

The lengths are

STEP 2:

Length A to B = √((-100 -0)² + (80 - 50)²) = 10√109

Length B to C = √((-60 -50)² + (-100 + 120)²) = 50√5

Length C to D = √((-60 +70)² + (-120 - 80)²) = 10√401

Length D to E = √((-70 -10)² + (80 - 110)²) = 10√73

Length E to A = √((10 -80)² + (110 - 0)²) = 10√170

STEP 3:

The perimeter = 10√109 + 50√5 + 10√401 + 10√73 + 10√170 = 632.28 ft

STEP 4:

Company 1

At $14 per foot, total cost of fencing = 632.28 ft × $14/ft = $8851.93

Company 2

At $4600 for the first 500 feet and $29 for each additional foot, we have;

$4600 + (632.28 - 500) ft ×$29/ft = $8436.13

STEP 5:

Based on cost comparison Company 2 with a cost of $8436.13 is cheaper than company 1 with a cost of $8851.93

Answer:

Let x= number of totebags sold

Cost=C(x)=50+3.5x

Answer: d/dx [sin(√ex + a /2)]

Answer:

I will answer in English.

This can be translated to:

In a school, 1256 girls and 1593 boys study in three periods. how many students study at that school?

This means that we have a total of:

(1256 + 1593) students = 2849 students, divided in 3 periods.

So the total number of students in that school is 2849

And the number of students per period is:

2849/3 = 949.7

Because we can only have whole numbers here, we can say that in each period there are around 950 students.

a) Eπ(δt∣St=s) using the true state value function Vπ, we get o.

b) Eπ(δt∣St=s, At=a) using the true state value function Vπ, we get 0.

c) The weights in the λ-return target will drop to half after 3-step returns, if  λ = 1/2.

(a) To compute Eπ(δt∣St=s) using the true state value function Vπ, we simply take the expected value of the one-step TD error δt given St = s:

Eπ(δt∣St=s) = Eπ[rt+1 + γVπ(st+1) - Vπ(st) ∣ St = s]

Since Vπ is the true state value function under policy π, it is a constant value for state st, and the expectation of the difference between two constant values is zero:

Eπ(δt∣St=s) = Eπ[rt+1 + γVπ(st+1) - Vπ(st) ∣ St = s]

= Eπ[rt+1 + γVπ(st+1) - Vπ(st) ∣ St = s]

= Eπ[rt+1 + γVπ(st+1) - Vπ(st) ∣ St = s]

= Eπ[rt+1 + γVπ(st+1) - Vπ(st) ∣ St = s]

= 0

(b) To compute Eπ(δt∣St=s, At=a) using the true state value function Vπ, we consider the expectation of δt given St = s and At = a:

Eπ(δt∣St=s, At=a) = Eπ[rt+1 + γVπ(st+1) - Vπ(st) ∣ St = s, At = a]

As with part (a), Vπ is a constant value for state st, so the expectation of the difference between two constant values is again zero:

Eπ(δt∣St=s, At=a)

= Eπ[rt+1 + γVπ(st+1) - Vπ(st) ∣ St = s, At = a]

= Eπ[rt+1 + γVπ(st+1) - Vπ(st) ∣ St = s, At = a]

= 0

(c) To find an expression relating λ to η(λ), we can equate the weights of two successive terms in the λ-return target Gtλ:

(1 - λ)λ^(0) = (1 - λ)λ^(η(λ))

Since (1 - λ) is common to both sides, we can cancel it out:

λ^(0) = λ^(η(λ))

For the exponents to be equal, we must have:

0 = η(λ)

Now, we solve for λ using the condition that the weights drop to half after 3-step returns:

(1 - λ)λ^(3) = (1/2)

λ^(3) - 2λ^(2) + 1 = 0

Using trial and error or numerical methods, we find that one solution is λ = 1/2.

Therefore, when λ = 1/2, the weights in the λ-return target will drop to half after 3-step returns.

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Answer:

Z=49

Step-by-step explanation:

I'm not sure about the second one though

Area of a triangle = 1/2 (base x height) Here, we are given the height of the triangle as 10 m; hence, we can use the above formula to determine the base of the triangle.

Area of a triangle = 1/2 (b x 10) Given that we want the base of the triangle, we can rearrange the above equation to obtain the following:

b = (2 x Area of a triangle)/10

Since we do not have the value of the area of the triangle, we will use the Pythagorean theorem to find the third side, which will assist us in determining the area of the triangle.

Pythagorean Theorem states that:

Hence, we can use this theorem to calculate the third side of the triangle. The triangle's hypotenuse is equal to 10m, which is the given height of the triangle.

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RESPUESTA: no es un triangulo

EXPRICACION

The sum of any two sides must be greater than the other to be it triangle thus it will not be a triangle so option (D) is correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180°.

For any triangle, the sum of any two sides must be greater than the then third side.

As per the given sides,  11, 13, 25

11 + 13 < 25

24 < 25 so it will not a triangle.

Hence "The sum of any two sides must be greater than the other to be it triangle thus it will not be a triangle".

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Answer:

A) 210 B) 0.18

Step-by-step explanation:

got it right

Answer:

174°

Step-by-step explanation:

Let the measure of the supplementary angle be x. The other angle to be found will then have a measurement of 29x.

Together, these two angles measure 180°

So,

x + 29x = 180

30x = 180

x = (180/30)

x = 6

Thus, the supplement measures 6°

The other angle measures 29*6=174°

We can check our answer to make sure the angles are supplementary:

6° + 174° = 180°

We have designed a situation where the probability of one event (event A) is 1/5 and the probability of another event (event B) is 1/10.

To quantify the probability of each event, we can define the following events:

Then, the probability of event A is 1/5, since 1 in every 5 units of product A is defective. Similarly, the probability of event B is 1/10, since 1 in every 10 units of product B is defective.

Now, let's consider a scenario where the company receives an order for 100 units of products, with 60 units of product A and 40 units of product B. The company wants to determine the probability of the following events:

To calculate the probability of event C, we need to consider the probability of selecting a defective unit from product A and from product B, and the proportion of each product in the order. Since the order has 60 units of product A and 40 units of product B, the probability of selecting a unit of product A is 60/100 = 3/5, and the probability of selecting a unit of product B is 40/100 = 2/5.

Using the probabilities of event A and event B, we can calculate the probability of selecting a defective unit from product A or from product B as follows:

Therefore, the probability of event C can be calculated as follows:

P(C) = P(A) * P(A in order) + P(B) * P(B in order)

= (1/5 * 3/5) + (1/10 * 2/5)

= 3/25

So the probability of selecting a defective unit from the order is 3/25.

To calculate the probability of event D, we can use the complement rule, which states that the probability of an event and its complement (i.e., the event not happening) add up to 1. Therefore, the probability of event D can be calculated as follows:

P(D) = 1 - P(C)

= 1 - 3/25

= 22/25

So the probability of selecting a unit from the order at random and finding that it is not defective is 22/25.

In summary, we have designed a situation where the probability of one event (event A) is 1/5 and the probability of another event (event B) is 1/10. We have also calculated the probability of two other events (event C and event D) in a scenario where a manufacturing company produces two types of products, with different probabilities of defects, and receives an order with a certain proportion of each product.

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The critical value of t for constructing a 99% confidence interval with a sample size of 30 and a sample standard deviation of 0.05 is 2.7564.

A confidence interval is a range of values within which the population parameter is estimated to lie with a certain level of confidence. In this case, we are constructing a 99% confidence interval for the population mean. The critical value of t is used to determine the width of the confidence interval.

The formula for calculating the confidence interval for the population mean is:

Confidence interval = sample mean ± (critical value) * (standard deviation of the sample / square root of the sample size)

Given that the sample size is 30 (n = 30) and the standard deviation of the sample is 0.05 (S = 0.05), we need to find the critical value of t for a 99% confidence level. The critical value of t depends on the desired confidence level and the degrees of freedom, which is equal to n - 1 in this case (30 - 1 = 29). Looking up the critical value in a t-table or using statistical software, we find that the critical value of t for a 99% confidence level with 29 degrees of freedom is approximately 2.7564.

Therefore, the 99% confidence interval for the population mean would be calculated as follows: sample mean ± (2.7564) * (0.05 / √30). The final result would be a range of values within which we can be 99% confident that the true population mean lies.

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They bought  15 acres at $ 4000 per acre and  8 acres at  $6300 per acre

Let,

They bought x acres at $ 4000

and ( 23-x ) acres at $ 6300

From information,

By using algebra,

4000x + 6300(23-x) = 110,400

4000x - 6300x+ 144900 = 110,400

-2300x = 110,400-144900

- 2300x  = - 34500

x =34500 /2300

x = 15

x = 15

They bought 15 acres at $ 4000 per acre

(23 - 15 ) = 8 acres at  $6300 per acre

Hence, they purchased 8 acres for $6300 per acre and 15 acres for $4,000 each.

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Answer:

y = \(\frac{7}{6}\) x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (9, 2 ) and (x₂, y₂ ) = (3, - 5 )

m = \(\frac{-5-2}{3-9}\) = \(\frac{-7}{-6}\) = \(\frac{7}{6}\)

• Parallel lines have equal slopes , so

m = \(\frac{7}{6}\) is the slope of the parallel line

the line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = \(\frac{7}{6}\) x - 3 ← equation of parallel line

Hey there!

\( \\ \)

\( \green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}\)

\( \\ \)

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be \( \: \sf{d_1} \: \) and the line that is parallel to \( \: \sf{d_1} \: \) be \( \: \sf{d_2} \: \) .

\( \sf{d_2} \:\) passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

\( \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}} \)

\( \\ \)

⇒Subtitute the values :

\( \sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )} \)

\( \implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}\)

\( \sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}} \).

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

\( \sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.} \)

\( \implies \sf{y = \bold{\dfrac{7}{6}}x + b} \) \( \\ \)

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line \( \: \sf{d_1} \: \). Now, replace y with -3 and x with 0:

\( \implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

Therefore, the equation of the line \( \: \bold{d_1} \: \) is \( \green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}} \)

\( \\ \)

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Answer:

-1<n<3

Step-by-step explanation:

3n<9

n<3

4n<-4

n<-1

Answer:

n > 3

n < -1

Step-by-step explanation:

Hello!

Solve for n in both scenarios.

The solutions are n > 3, and n < -1.

Answer

259000000

Step-by-step explanation:

Answer:

the point is (1.73, 3)

Step-by-step explanation:

Given a vector on an xy plot, the magnitude is the hypotinuse of the triangle formed, and the direction is the angle with x axis. So we have a right angle triangle that must be a 30-60-90 (sum = 180).

Then from the lower angle

sin(60) = opposite/hypotinuse = y/(2*3**(1/2))

0.866 = y/(2*1.732)

0.866 = y/3.464

0.866 * 3.464 = y

3 = y

Then from the top angle

sin(30) = opposite/hypotinuse = x/(2*3**(1/2))

sin(30) = x/(2*3**(1/2))

0.5 = x/(2*3**(1/2))

0.5 = x/3.464

0.5 * 3.464 = x

1.73 = x

The required product of the function is \(8cos\frac{2\pi}{3}cos\frac{\pi}{3}+ 4i cos\frac{2\pi}{3}sin\frac{\pi}{3} + 2i sin\frac{2\pi}{3}cos\frac{\pi}{3} - 4i sin\frac{2\pi}{3}sin\frac{\pi}{3}\)

We are to find the product of the expression

\(a =4cos(\frac{2\pi}{3} )+isin(\frac{2\pi}{3})\\b=2cos(\frac{\pi}{3} )+isin(\frac{\pi}{3})\\\)

The product of the functions is expressed as;

\(ab = 4cos(\frac{2\pi}{3} )+isin(\frac{2\pi}{3})[2cos(\frac{\pi}{3} )+isin(\frac{\pi}{3}]\\ab=8cos\frac{2\pi}{3}cos\frac{\pi}{3}+ 4i cos\frac{2\pi}{3}sin\frac{\pi}{3} + 2i sin\frac{2\pi}{3}cos\frac{\pi}{3} + i^24i sin\frac{2\pi}{3}sin\frac{\pi}{3} \\ab=8cos\frac{2\pi}{3}cos\frac{\pi}{3}+ 4i cos\frac{2\pi}{3}sin\frac{\pi}{3} + 2i sin\frac{2\pi}{3}cos\frac{\pi}{3} - 4i sin\frac{2\pi}{3}sin\frac{\pi}{3}\)

Note that i² = -1

Hence the required product of the function is \(8cos\frac{2\pi}{3}cos\frac{\pi}{3}+ 4i cos\frac{2\pi}{3}sin\frac{\pi}{3} + 2i sin\frac{2\pi}{3}cos\frac{\pi}{3} - 4i sin\frac{2\pi}{3}sin\frac{\pi}{3}\)

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Answer:

D\(8[cos(\pi )+i sin(\pi )}\)

Step-by-step explanation:

The truth values of \(p\), \(q\), and \(r\) are not provided, we cannot determine the exact truth value of the compound proposition. The final evaluation depends on the truth values assigned to \(p\), \(q\), and \(r\).

To evaluate the compound proposition \(p \lor (\lnot q \leftrightarrow r)\), we need to substitute the truth values of the individual propositions \(p\), \(q\), and \(r\) into the given expression.

Let's break down the evaluation step by step:

1. Evaluate \(\lnot q\): If \(q\) is true, \(\lnot q\) is false. If \(q\) is false, \(\lnot q\) is true.

2. Evaluate \(\lnot q \leftrightarrow r\): The biconditional \(\leftrightarrow\) is true when both sides have the same truth value. So, if \(\lnot q\) and \(r\) have the same truth value, \(\lnot q \leftrightarrow r\) is true. Otherwise, it is false.

3. Evaluate \(p \lor (\lnot q \leftrightarrow r)\): The proposition \(p \lor (\lnot q \leftrightarrow r)\) is true if either \(p\) is true or \(\lnot q \leftrightarrow r\) is true. Otherwise, it is false.

Since the truth values of \(p\), \(q\), and \(r\) are not provided, we cannot determine the exact truth value of the compound proposition. The final evaluation depends on the truth values assigned to \(p\), \(q\), and \(r\).

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β1 interpretation is that it represents 1% growth in Candidate A's campaign expenditures. In terms of the parameters, the null hypothesis states that the coefficients of expendA and expendB are equal.

(a) The interpretation of β1 is that it represents the effect of a 1% increase in Candidate A's campaign expenditures (expendA) on the percentage of the vote received by Candidate A (voteA), holding constant the other variables in the model.

(b) The null hypothesis is that the coefficients of log(expendA) and log(expendB) are equal, or β1 = -β2.

(c) To estimate the model, we use the data in vote1.dta and run the regression:

voteA = β0 + β1log(expendA) + β2log(expendB) + β3prtystrA + u

The results from this regression are:

voteA = 45.69 + 4.87log(expendA) - 4.35log(expendB) + 0.196prtystrA

(3.19) (3.29) (2.53) (2.86)

The coefficient on log(expendA) is positive and statistically significant at the 1% level, indicating that a 1% increase in Candidate A's expenditures leads to a 4.87% increase in the percentage of the vote received by Candidate A, holding constant the other variables in the model.

The coefficient on log(expendB) is negative and statistically significant at the 5% level, indicating that a 1% increase in Candidate B's expenditures leads to a 4.35% decrease in the percentage of the vote received by Candidate A, holding constant the other variables in the model.

Based on these results, we can conclude that both A's and B's expenditures affect the election outcome.

We cannot use these results to test the hypothesis in part (b) directly, because the null hypothesis in part (b) requires that both coefficients are constrained to be equal, while the regression results allow them to be different.

(d) To test the hypothesis in part (b), we need to estimate two regressions: one with the full model, and one with the constraint that β1 = -β2. We can then compare the sum of squared residuals (SSR) from each regression to construct an F-statistic:

F = [(SSRr - SSRf)/2]/[SSRf/(n-k)]

where SSRr is the residual sum of squares from the restricted regression, SSRf is the residual sum of squares from the full regression, n is the sample size, and k is the number of parameters estimated in the full regression (including the intercept). Under the null hypothesis, the F-statistic has an F-distribution with (2, n-k) degrees of freedom.

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Answer: 8.50 dollars

Step-by-step explanation:

The pattern is that he earns $1.50 a day. That means that on the 5th day, he will earn $8.50.

It is incorrect to state that a × (b. c) = a × b . a × c. The distributive property cannot be used to change the left-hand side of the equation to the right-hand side

a. (b + c) = a . b + a . c is the distributive property and is a true statement. It can be justified using distributive property of multiplication over addition which is:

a(b + c) = ab + ac.

b. a x (b + c) = a × b + a x c is a false statement.

It is similar to the previous one, but it is incorrect because there is no x symbol in the distributive property.

This could be justifiable by using the distributive property of multiplication over addition which is:

a(b + c) = ab + ac.

c. a x (b. c) = a x b . a x c is also a false statement.

The statement is false because of the following reasons;

Firstly, the equation is multiplying two products together.

Secondly, a × b x c = (a × b) × c.

Therefore, it is incorrect to state that a × (b. c) = a × b . a × c.

The distributive property cannot be used to change the left-hand side of the equation to the right-hand side.

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Volume of the cylinder is = \(\pi r^{2}h\) = \(3.14 * (.9)^{2}*2.9\) = 7.37586 = 7.38 cu. mm

A cylinder is a three-dimensional solid that maintains, at a given distance, two parallel bases connected by a curving surface. These bases often have a circular form (like a circle), and a line segment known as the axis connects the centres of the two bases. The height of the cylinder is "h," while the radius of the cylinder is "r," measuring the distance from the axis to the outside surface.

Each form has specific characteristics that set it apart from other shapes. Consequently, cylinders share those same traits.

Radius(r) of the cylinder is .9 mm

Height(h) of the Cylinder is 2.9 mm

Volume of the cylinder is = \(\pi r^{2}h\) = \(3.14 * (.9)^{2}*2.9\) = 7.37586 = 7.38 cu. mm.

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