Which representations have the same rate of change of y with respect to x as the slope -0.5?
I really need help!
The last option is "All of the above"

Answer:

L=8cm W=5cm

Step-by-step explanation:

8+8=16

5+5=10

10+16=26cm

5x8=40cm

Given that lim x → ∞ (2x − ln(x)) is in determinate of type ∞ − ∞. We can change it to a product by factoring out 2x to get the following. lim x → ∞ (2x − ln(x)) = lim x → ∞ x[2 − ln(x)/x] = ∞ * (2 − 0) = ∞Now, we have lim x → ∞ 1 − ln(x).

Since ln(x) grows very slowly than x, so as x → ∞, ln(x) → ∞ much slower than x. Hence, as x → ∞, ln(x) is very small as compared to x. So we can ignore the ln(x) and can replace it by zero. Let's write 1 as x/x.

Then we have,

lim x → ∞ (1 − ln(x))/x

= lim x → ∞ x/x − ln(x)/x

= lim x → ∞ 1 − (ln(x)/x)

= 1 − 0

= 1

lim x → ∞ (2x − ln(x))

= ∞ − ∞ is equivalent to lim x → ∞ (1 − ln(x))

= 1.

The limit lim x → ∞ (1 − ln(x)) is the required limit.

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A hallway having 1000 doors at the end of the process the doors which are open are all the factors of 24 i.e, 24,48,72,96,120,144...

A hallway has 1000 doors named 1 from 1000

So he opens all the doors of the hallway so all the doors are opened.

He decides to close every other door starting with door number 2 so 1st door is open and from 2nd door every alternate door is opened so factor of 2 is all close,

2, 4, 6, 8, 10, 12, 14, 16, 18, 20..................1000.

Then he decides to close very open door and open every close door from door three so,

3 is open it will be closed

6 was close so open

9 was open so it will be close

12 was close the it is open

so on 15,21, 27,33......999 will all be closed,

and all 18, 24, 30.....will be all open

then he walks down the hall and changes every fourth door starting with door 4

so 4 will be open so on

4, 8, 16,20, 28,32, 36,40........so on 1000 will all be open

and 12,24,48,60.............will be closed.

So all the door with factor of 12 i.e.12,24,36,48,60,72...will closed.

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Answer:

Measure of angle B = 64.147°

Step-by-step explanation:

Because we don't know whether this is a right triangle, we can find the measure of angle B using the Law of cosines

The law relates the lengths of the sides of a triangle to the cosine of one of its angles and has three forms

a^2 = b^2 + c^2 - 2bc * cos(A)

b^2 = a^2 + c^2 - 2ac * cos(B)

c^2 = b^2 + a^2 - 2ba * cos(C)

In the triangle, c is 11 units, b is 10 units, and angle A is 34°.  

Step 1:  Find the length of a:

Because the Law of Cosines requires all three sides, we must find side a's length.  

We can use the first formula for the Law of Cosines and plug in 11 for c, 10 for b, and 34 for A, allowing us to solve for a:

1.1 Plug in values and simplify:

a^2 = 10^2 + 11^2 - 2(10)(11) * cos(34)

a^2 = 100 + 121 - 220 * cos(34)

a^2 = 38.61173404

1.2 Take the square root of both sides to solve for A

√(a^2) = √(38.61173404)

a = 6.213834085

Not rounding at this intermediate step in the problem will allow us to find the exact measure of angle B

Thus, a = 6.213834085 units.

Step 2:  Find the measure of angle B:

Now we can use the Law of Cosines' second formula and plug in 11 for c, 10 for b, and 6.213834085 for a, allowing us to solve for B.

2.1 Plug in values and simplify

10^2 = 11^2 + 6.213834085^2 - 2(11)(6.213834085) * cos(B)

100 = 121 + 38.61173404 - 136.7043499 * cos(B)

100 = 159.611734 - 136.7043499 * cos(B)

2.2 Subtract 159.611734 from both sides:

(100 = 159.611734 - 136.7043499 * cos(B)) - 159.611734

-59.61173404 = -136.7043499 * cos(B)

2.3 Divide both sides by -136.7043499:

(-59.61173404 = -136.7043499 * cos(B)) / -136.7043499

0.4360631836 = cos(B)

2.4 Use cosine inverse to find the measure of angle B:

cos^-1 (0.4360631836) = B

64.14703487 = B

64.147 = B

Thus, the measure of angle B (rounded to the nearest thousandth) is 64.147°.

Answer:

The correct answer for your geometric series is 4 13/27 (mixed form) or 121/27.

Step-by-step explanation:

Answer:

Step-by-step explanation:

r =term 1 ÷ term 2 = 1 ÷ 3 = 1/3

a =term 1 = 3

n = 5

\(Sum = \frac{a(1-r^{n})}{1-r}\)

        \(= \frac{3*(1-(\frac{1}{3})^{5}}{1-\frac{1}{3}}\\\\=\frac{3*(1-\frac{1}{243})}{\frac{2}{3}}\\\\=\frac{3*\frac{242}{243}}{\frac{2}{3}}\\\\=3*\frac{242}{243}*\frac{3}{2}\\\\=\frac{121}{27}\\\\=4 \frac{13}{27}\)

Given data:

The standard expression for the proportionality is,

It means the graph must pass through the origin.

5)

Thus, the amount of money raised by Phil's is proportionally related.

6)

The unit rate change is the slope of the line which is,

Thus, the unit rate change is $7.5/mile.

The length of each of the equal sides is become x = (3y-4) cm

According to the statement

we have given that the perimeter of the isosceles triangle and length of third side. and we have to find the length of same side of triangle.

So,

An isosceles triangle is a triangle that has two sides of equal length.

Let the equal sides of isosceles triangle be x cm each.

We know that the

Sum of sides of a triangle = perimeter

x+x+(3y-7) = 9y-15

2x = 9y-3y-15+7

After solving the equation it become

2x= 6y-8

x=(6y-8)/2

Now the length of equal sides is x=3y-4

So, The length of each of the equal sides is become x = (3y-4) cm

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Given in the question:

a.)

Answer:

The Answer would be 9.

Step-by-step explanation: The triangle would get an area of 2 and 18*2 is 36 which is the area of the square. Divide by 4 to get the answer of 9.

The perimeter of the square is 24 units.

The perimeter of a square is defined as the addition of the lengths of the square.

The perimeter of a square = 4a

Where a is the length of the side of the square

Given that

The area of the square is 18 times the area of the triangle.

The area of the triangle = (1/2)height × width  

The area of the triangle = (1/2)(5/8)(32/5)

The area of the triangle = 2 units²

The area of the square = 18×2 = 36 units²

Let a is the length of the side of the square

The area of the square = a² = 36

So a = 6

The perimeter of a square = 4a = 4(6) = 24

The perimeter of a square = 4(6)

The perimeter of a square = 24 units

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The question seems to be incomplete the correct question would be

Answer:

78 !!!!

Step-by-step explanation:

Answer:

4/3 ft

Corrected question;

Francine has a piece of wood that is five 5/12 feet long she uses three 1/4 feet of the wood from a science project how much for just Francine have left.

Step-by-step explanation:

Given;

Francine has a piece of wood that is five 5/12 feet long.

Total amount of wood T = 5 × 5/12 ft = 25/12 ft

she uses three 1/4 feet of the wood from a science project.

Amount of wood Used U = 3 × 1/4 = 3/4 ft

The amount of wood left equals the total amount of wood minus the amount of wood used;

The amount of wood left L = T - U = 25/12 - 3/4

L = 25/12 - 9/12

L = 16/12

L = 4/3 ft

Answer:

\(\pi = \)

236+453

Answer:

Angles of a triangle add up to 180 degrees.

So, if we add up all three of the angles of this triangle, we should have a sum of 180 degrees.

4x-10+x+26+x+14=180

4x-10+2x+40=180

6x+30=180

6x=150

x=25

Let me know if this helps!

The Logarithmic function is a mathematical operation that is used to determine the logarithm of a number.

The logarithm of a number x is the exponent to which a fixed number, the base, must be raised to produce x. The most common bases used are 10 and e. The formula for determining the logarithm of a number x base d is: log base d of x = (log base d of x)/(log base d of b).

For example, if we want to calculate the log base 10 of a number x, we would use the formula: log base 10 of x = (log base 10 of x)/(log base 10 of b). We can calculate the log base 10 of a number x by taking the logarithm of x and dividing it by the logarithm of the base, 10. The result will be the log base 10 of x.

For example, if we want to calculate the log base 10 of 25, we would calculate the logarithm of 25 and divide it by the logarithm of 10. The calculation would be: log base 10 of 25 = (log base 10 of 25)/(log base 10 of 10) = (1.3979)/(1) = 1.3979. This means that the log base 10 of 25 is 1.3979.

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Answer: The correct answer is A

Step-by-step explanation:

⎡

⎢

⎣

1

0

0

1

0

1

0

−

1

0

0

1

3

⎤

⎥

⎦

The system of the matrix which represents the linear equations are 2x +  y + z = 4, 3x - 2y + z = 8, and x - y + z = 5.

A matrix is a collection of numbers arranged in rows and columns and enclosed on both sides by square brackets.

The matrix below represents a system of equations.

\(\begin{bmatrix}2 &1 &1 &4 \\\\-3 &2 &-1 &-8 \\\\1 &-1 &1 &5\end{bmatrix}\)

The matrix is the linear system of the matrix. And the number of the variable is equal to the number of columns minus one.

The linear systems are given below.

\(\begin{aligned} \rm 2x + y + z &= 4\\\\\rm -3x + 2y -z &= -8\\\\\rm x - y + z &= 5\end{aligned}\)

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People hate their jobs, want to get away from them, and hate having to be responsible, claims Theory X. People are independent and appreciate having obligations placed on them, claims Theory Y.

Theories of human labor motivation and management include Theory X and Theory Y.

They were invented by Douglas McGregor in the 1950s while he was a faculty member at the MIT Sloan School of Management, and they underwent further development in the 1960s.

Consider work a natural part of life, and come up with creative solutions for workplace issues.

According to Theory X, individuals despise their jobs, desire to escape them, and detest having to be accountable.

According to Theory Y, people are self-driven and enjoy having responsibilities placed on them.

Therefore, people hate their jobs, want to get away from them, and hate having to be responsible, claims Theory X. People are independent and appreciate having obligations placed on them, claims Theory Y.

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Answer:

6

Step-by-step explanation:

In a right triangle the legs are base and height

area = (1/2) base × height = (1/2) 3 (4) = 6

Answer: 6  square units

Answer:

7.18

Step-by-step explanation:

The entire answer is 7.17808219, but I rounded it to the nearest hundreth.

Solution:

Note that:

We already know:

=> x pair of mittens = $3x = 48

=> $3x = 48

=> x = 48/3

=> x = 16

Kendra can buy 16 mittens.

Answer:

16 pairs of mittens

Step-by-step explanation:

16 x 3 is 48

The factor in the graph that supports the idea that the greater the rainfall in June through August, the fewer acres are burned by wildfires is the negative correlation between rainfall and acres burned.

The graph shows a negative correlation between the amount of rainfall in June through August and the number of acres burned by wildfires. As the amount of rainfall increases, the number of acres burned decreases. This suggests that wetter weather can help reduce the risk of wildfires.

The graph provides a visual representation of the relationship between rainfall and wildfires. It shows that there is a clear negative correlation between the two variables. This means that as one variable increases, the other decreases. In this case, the variable of interest is the number of acres burned by wildfires. The graph shows that when there is less rainfall in June through August, more acres are burned by wildfires. Conversely, when there is more rainfall during these months, fewer acres are burned. This makes sense because rainfall can help reduce the risk of wildfires by making vegetation less dry and therefore less susceptible to catching fire. Additionally, wetter weather can help firefighters contain and extinguish fires more quickly and effectively.

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Answer:

Screenshot and post it please

Step-by-step explanation:

Answer:

58 degrees

Step-by-step explanation:

first find x

5x + 137 = -4x +110

add 4x to both sides

9x + 137 = 110

subtract 137 from both sides

9x = -27

divide both sides by 9

x = -3

that angle is 122

since angle 6 is supplementary to that angle they add up to 180

180 - 122 = 58

angle 6 is 58 degrees

hope this helps :)

Step-by-step explanation:

what is Fahrenheit use celsius bruuuhhhh

Answer:

C. The temperature decreased by 6.75 degrees F

Step-by-step explanation:

The slope coefficient (beta), is called regression.

Beta regression is a form of regression which is used when the response variable, y, takes values within (0, 1) and can be assumed to follow a beta distribution.

The beta values in regression are the estimated coeficients of the explanatory variables indicating a change on response variable caused by a unit change of respective explanatory variable keeping all the other explanatory variables constant/unchanged. Whereas correlations coefficient is the overall estimated value of correlation measuring the strength and the direction of the relationships between the response and covariates.

Hence, the slope coefficient (beta), is called regression.

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The mean of all the sample means obtained from all random samples of a certain sample size in a sampling distribution is an example of a biased statistic is False.

The mean of all the sample means obtained from all random samples of a certain sample size in a sampling distribution is an example of an unbiased statistic. This is because the sampling distribution of the mean is centered at the true population mean, and the mean of all sample means provides an estimate of that true population mean without any systematic over- or under-estimation.

However, individual sample means can be biased if there are any issues with the sampling process or if the sample is not representative of the population.

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Answer:

1

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

To solve the answer, we must subsutute h for 4 and g for 32 and solve like shown:

\(4-(2)(32)\\4-64\\60\)

Answer:

Step-by-step explanation:

h=4

g=32

2*32=64

h-2g= -60

The optimal solution for the given linear programming model is:

max z = 38

when x1 = 5, x2 = 10, x3 = 0

To solve the given linear programming model using the simplex algorithm, we start by converting the inequalities into equations and introducing slack variables. The initial tableau is constructed with the coefficients of the decision variables and the right-hand side constants.

Next, we apply the simplex algorithm to iteratively improve the solution. By performing pivot operations, we move towards the optimal solution. In each iteration, we select the pivot column based on the most negative coefficient in the objective row and the pivot row based on the minimum ratio test.

After several iterations, we reach the optimal tableau, where all the coefficients in the objective row are non-negative. The optimal solution is obtained by reading the values of the decision variables from the tableau.

In this case, the optimal solution is z = 38 when x1 = 5, x2 = 10, and x3 = 0. This means that to maximize the objective function, the decision variables x1 and x2 should be set to 5 and 10 respectively, while x3 is set to 0.

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So, the simpler form of the radical expression 4 sqrt 1296 x^16y^12 is 144x^14y^14 sqrt (x) sqrt (y).

To simplify the radical expression 4 sqrt 1296 x^16y^12, we need to first factor the number inside the radical. 1296 can be factored into 36 x 36, which simplifies to 6^4. So, the expression becomes 4 sqrt (6^4 x^16y^12).
Next, we can simplify the expression further by using the property of exponents that says a^m x a^n = a^(m+n). This means that we can combine the exponents of x and y, which gives us 4 sqrt (6^4 x^(16+12) y^(12+16)). Simplifying this, we get 4 sqrt (6^4 x^28 y^28).
Now, we can simplify the radical expression even further by using the property that says sqrt (a x b) = sqrt (a) x sqrt (b). Applying this to our expression, we get 4 x 6^2 x sqrt (x^28) x sqrt (y^28). Simplifying this further, we get 144x^14y^14 sqrt (x) sqrt (y).
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