8. Rachel and Sabine belong to different local gyms. Rachel pays $35 per month and a one-time
registration fee of $15. Sabine pays only $25 per month but had to pay a $75 registration fee. After
how many months will Rachael and Sabine have spent the same amount on their gym memberships?

The coordinates of the point N dividing the line LM, with L(-3, 1) and N(4, 9) in the ratio 2:3, found using the internal section formula is \(\left(-\frac{1}{5} ,\, \frac{21}{5} \right)\)

A ratio indicates the number of times one quantity a is contained in another quantity b.

The coordinates of the point L = (-3, 1), the coordinates of the point M = (4, 9)

The ratio in which the point N divides LM = 2:3

The specified ratio of the sides are;

\(\dfrac{LN}{MN} = \dfrac{2}{3}\)

The coordinates of the points N is found using the internal section  formula as follows;

\(C(x, y) = \left(\frac{m\times x_2 + n\times x_1}{m+n} , \,\frac{m\times y_2 + n\times y_1}{m+n} \right)\)

Where;

(x₁, y₂), and (x₂, y₂) are the endpoints of the line

m:n is the ratio the point C divides the line

Which indicates;

\(N(x, y) = \left(\frac{2\times 4 + 3\times (-3)}{2+3} , \,\frac{2\times 9 + 3\times 1}{2+3} \right) = \left(-\frac{1}{5} ,\, \frac{21}{5} \right)\)

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Answer:

A. 2y-7

Step-by-step explanation:

2y-7

That's twice y and then subtracting 7.

Answer:

Step-by-step explanation:

The answer would be A because the hypothesis of a conditional statement is the statement after the "if", but before the "then".

Hello ;)

What is the product square of \(\sqrt{3}\) and \(\sqrt{32}\) in simplest radical form ?

\(\sqrt{3}\) × \(\sqrt{32}\)

= \(\sqrt{3}\) × \(\sqrt{8*4}\)

= \(\sqrt{3}\) × \(\sqrt{8}\) × \(\sqrt{4}\)

= \(\sqrt{4}\) × \(\sqrt{8*3}\)

= \(2\sqrt{24}\)

= \(2\sqrt{4*3*2}\)

= \(2\) × \(\sqrt{4}\) × \(\sqrt{3*2}\)

= \(4\sqrt{6}\)

:-)

The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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The vector field F = (yz^2)i + (xz^2)j + (2xyz)k is conservative, and the scalar potential f can be found.

To determine if a vector field is conservative, we need to check if its curl is zero. If the curl is zero, it implies that the vector field can be expressed as the gradient of a scalar potential function, f.

Let's calculate the curl of the given vector field F. Taking the curl of F, we have:

curl(F) = ∇ × F = ( ∂(2xyz)/∂y - ∂(xz^2)/∂z )i - ( ∂(yz^2)/∂x - ∂(2xyz)/∂z )j + ( ∂(xz^2)/∂x - ∂(yz^2)/∂y )k

Simplifying the above expression, we find:

curl(F) = (2xz - 2xz)i - (2yz - 2yz)j + (z^2 - z^2)k = 0i + 0j + 0k = 0

Since the curl of F is zero, we can conclude that F is a conservative vector field. To find the scalar potential function f, we integrate each component of F with respect to the corresponding variable.

Integrating the x-component, we have:

f(x, y, z) = ∫(xz^2) dx = xz^2 + g(y, z)

Here, g(y, z) is the constant of integration with respect to x. We can proceed in a similar manner to find the other components of f. Integrating the y-component, we get:

f(x, y, z) = ∫(yz^2) dy = yz^2 + h(x, z)

Similarly, integrating the z-component, we obtain:

f(x, y, z) = ∫(2xyz) dz = xyz^2 + k(x, y)

Combining these results, the scalar potential function f is given by:

f(x, y, z) = xz^2 + yz^2 + xyz^2 + C

where C is a constant of integration. Thus, we have found the scalar potential function f for the vector field F, demonstrating that F is indeed conservative.

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Step-by-step explanation:

Volume of a cylinder=

\(\pi \: {r}^{2} h\)

Radius=84÷2=42

Volume=22/7×42²×150=831 600 cm³

The formal charge on the bromine atom in the given structure is zero, indicating that it is formally neutral.

To determine the formal charge on an atom, we compare the number of valence electrons the atom should have (based on its position in the periodic table) with the number of electrons it actually has in the structure. The formula to calculate the formal charge is as follows:

Formal Charge = Valence Electrons - Lone Pair Electrons - 1/2 * Bonding Electrons

In the given structure, if we count the valence electrons on the bromine atom, we find that it has 7 valence electrons. Looking at the structure, we can see that bromine is surrounded by three bonds and one lone pair of electrons. Each bond contributes two electrons, and the lone pair contributes two electrons as well. Plugging these values into the formal charge formula, we get:

Formal Charge = 7 - 2 - 1/2 * 6 = 7 - 2 - 3 = 2 - 3 = -1

However, this formal charge of -1 does not accurately represent the bromine atom in the given structure. In reality, the bromine atom has an expanded octet, meaning it can accommodate more than eight valence electrons. The formal charge of -1 suggests that the bromine atom has an extra electron, which is not the case in this structure. Therefore, the more accurate formal charge for the bromine atom is zero, indicating that it is formally neutral.

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Regarding the contingent consideration in acquisition accounting, at the acquisition date, the correct statement is:

A. Recognition of a liability at its fair value, but with no effect on the purchase price.

When there is a provision for contingent consideration in an acquisition agreement, the acquirer recognizes a liability on the acquisition date at the fair value of the contingent consideration. This liability represents the potential additional payment that the acquirer may need to make if certain conditions are met. However, this contingent consideration does not affect the purchase price that was initially agreed upon for the acquisition. It is recognized as a separate liability on the acquirer's books.

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Z = -2

Y = 5

is your answer

Answer:

(12x+21)y  

12xy+21y

The domain of a function is the set of all possible input values (x-values) for which the function produces a valid output (y-value). The range of a function is the set of all possible output values (y-values) that the function can produce.

When working with inequalities, the domain and range can be found by analyzing the inequality and the context of the problem.

To find the domain of an inequality function, we need to identify any restrictions or limitations on the input values (x-values) that would make the inequality invalid.

For example, if the inequality contains a denominator that cannot be equal to zero, we need to exclude those values of x from the domain.

To find the range of an inequality function, we need to identify the set of all possible output values (y-values) that would make the inequality true.

For example, if the inequality is in the form y > x, we know that all values of y that are greater than x will satisfy the inequality.

In summary, finding the domain and range of inequalities of a function involves identifying any restrictions or limitations on input values and the set of possible output values that would make the inequality true.

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The sampling distributions are used for statistical tets.

Hence,The sampling distributions are used for statistical tets.

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Answer:

(2 × 4 × 8) + (2 × 4 × 3) = 64 + 24 = 88 in.^3

Answer:

Since 7 and 11 are both rational, the sum and difference are rational.

Step-by-step explanation:

A. Since 7 and 11 are both rational, the sum and difference are rational.

B. Since 14 and 11 are both rational, the sum and difference are rational.

C. Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.

D. Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.

p² – 14p – 72 = 0

p² – 14p = 72

p² – 14p + 49 = 72 + 49

p² - 14p + 49 = 121

(p - 7)² = 121

find the square root of both sides

√(p - 7)² = √121

p - 7 = ±11

p = +11 - 7 or p = -11 - 7

p = 4 or -18

Answer:

1) -2x-12

2) 9x-14

Step-by-step explanation:

1). We use distributive property. We have to multiply -2 by x and 6. This means that the expression is -2x-12.

2). We use the distributive property again. We have to multiply -4 by 6 and x. Therefore, the equation will be 10-24+4x+5x. Then, we have to combine like terms. 10-24 is equal to -14 and 4x+5x is equal to 9x. Therefore, it is equal to 9x-14.

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Given an LTI system that has an output y = 2te^-ul for the input x(t) = -(t). Here, e^-ul is the decay constant and is a real positive constant. The impulse response of the system can be found by considering the impulse input x(t) = δ(t).

The output of the system with an impulse input is given by y(t) = h(t), where h(t) is the impulse response of the system.We have,x(t) = -(t)..........(1)Applying derivative on both sides of the above equation, we get,y(t) = 2te^-ul, Applying derivative on both sides of the above equation, we get,

Plot of frequency response and Impulse response of the system Hence, the plot of frequency response and the impulse response of the LTI system is shown in the figure below:, the frequency response is given by H(jω) = (2/(-jω + ul)^2) where ω is the angular frequency. The impulse response of the system is given by h(t) = (2/ul^2)t.e^-ul.

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To determine how fast the distance between them is changing at that moment, we can calculate the relative velocity.

Brooke and Jamail are moving in opposite directions, so their speeds are added together. Their combined speed is 6 km/h + 7 km/h = 13 km/h.

In 7 seconds, they will travel a distance of 13 km/h * 7 s / 3600 s/h = 0.27 m.

The distance between them will be 27 m - 0.27 m = 26.73 m.

The rate at which the distance between them is changing is 13 km/h = 13000 m/h = 42.4 m/s.

Therefore, the distance between Brooke and Jamail is 26.73 m after 7 seconds, and the distance between them is changing at a rate of 42.4 m/s.

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Given: the three points are plotted on graph.

For the first point it is observed that,

For the x =3/2 the value is y=6/2

For second point ,

For x= 9/2 the y value is y=12/2

For the third point ,

For x= 15/2 the y value is y=18/2

According to obtained information it matched to option J)

Answer: Option J)

Given that 12 men and 8 women have volunteered for an experiment, we need to determine the number of ways to select a group of five men and four women using the given information.

We know that we have to choose 5 men out of 12 men and 4 women out of 8 women. Therefore, we will use the combination formula of nCr which is given as:

C(n, r) = n! / (n - r)!r!.

Now, to calculate the number of ways of choosing 5 men out of 12 men, we will substitute n = 12 and r = 5 in the combination formula as shown below:

C(12, 5) = 12! / (12 - 5)!5! = (12 × 11 × 10 × 9 × 8) / (5 × 4 × 3 × 2 × 1) = 792

Similarly, to calculate the number of ways of choosing 4 women out of 8 women, we will substitute n = 8 and r = 4 in the combination formula as shown below:

C(8, 4) = 8! / (8 - 4)!4! = (8 × 7 × 6 × 5) / (4 × 3 × 2 × 1) = 70

Now, we will use the multiplication principle of counting to find the number of ways to select a group of five men and four women. Therefore, the number of ways to select a group of five men and four women from 12 men and 8 women is given as:792 × 70 = 55,440Hence, there are 55,440 ways to select a group of five men and four women from 12 men and 8 women.

Thus, it can be concluded that the number of ways to select a group of five men and four women from 12 men and 8 women is 55,440.

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Firm 1 and Firm 2 will produce the same quantity and charge the same price in this scenario.

To determine the price, quantity, and profit for Firm 1 and Firm 2, we need to analyze the market equilibrium. In a competitive market, the price and quantity are determined by the intersection of the market demand and the total supply.

Market Demand:

The market demand is given by the equation P = 100 - Q, where P represents the price and Q represents the total quantity demanded in the market.

Total Cost:

Both firms have identical total cost functions, which are not explicitly provided in the question. However, we can assume that the total cost function for each firm is given by TC = C + MC * Q, where TC represents the total cost, C represents the fixed cost, MC represents the marginal cost, and Q represents the quantity produced by the firm.

Given that the marginal cost is MC = 4 + Q, we can rewrite the total cost function as TC = C + (4 + Q) * Q.

Market Equilibrium:

To find the market equilibrium, we set the market demand equal to the total supply. In this case, since Firm 1 can charge any price that Firm 2 charges, both firms will produce the same quantity and charge the same price.

Market Demand: P = 100 - Q

Total Supply: QS = Q1 + Q2 (quantity produced by Firm 1 and Firm 2)

Setting the market demand equal to the total supply, we have:

100 - Q = Q1 + Q2

Since Firm 1 and Firm 2 have identical total cost functions, they will split the market equilibrium quantity equally. Therefore, Q1 = Q2 = Q/2.

Substituting Q1 = Q2 = Q/2 into the equation 100 - Q = Q1 + Q2, we get:

100 - Q = Q/2 + Q/2

100 - Q = Q

Solving this equation, we find Q = 50. Thus, both Firm 1 and Firm 2 will produce 50 units of output.

Price Calculation:

To calculate the price, we substitute the quantity (Q = 50) into the market demand equation:

P = 100 - Q

P = 100 - 50

P = 50

Therefore, both Firm 1 and Firm 2 will charge a price of 50.

Profit Calculation:

To calculate the profit for each firm, we subtract the total cost from the total revenue. The total revenue for each firm is given by the product of the price (P = 50) and the quantity (Q = 50).

Total Revenue (TR) = P * Q = 50 * 50 = 2500

The total cost function for each firm is TC = C + (4 + Q) * Q. Since the fixed cost (C) is not provided, we cannot determine the profit explicitly. However, we can compare the profit of Firm 1 and Firm 2 if their total costs are the same.

Since both firms have identical total cost functions, they will have the same profit when their costs are the same. If their costs differ, then the firm with lower costs will have higher profits.

Overall, both Firm 1 and Firm 2 will produce 50 units of output, charge a price of 50, and their profits will depend on their total costs, which are not explicitly provided in the question.

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Answer:

65, 140, 40

Step-by-step explanation:

1. ∠ZXY is on the circle, m∠ZXY = 130/2 = 65°

Do 3) first

3) ∠SVY is inside the circle, so

m∠SVY = 1/2 * (arc SY + arc XR) = 1/2 * (40 + 40) = 40°

2) m∠XVS = 180° - m∠XVS = 180 - 40 = 140°

Answer:

297.49

Step-by-step explanation:

349.99*0.15=52.4985 rounds to 52.50

349.99-52.50=279.49

hi

You are making  f ° h  

f(x) = 9x-5

h(x) = 2x²  

You must first calculate   h(-5)   :     so remplace  x  by -5 in h :

h(-5) = 2 (-5)² =  2* 25 = 50

then apply  f(x) to result  :   f(50) = 9 *50 -5 = 450 -5 = 445  

False. The x86-64 bit architecture utilizes the full 64 bits for representing virtual address space, not just 48 bits.

The x86-64 bit architecture, also known as x64 or AMD64, extends the 32-bit x86 architecture to support 64-bit computing. One of the major advantages of this architecture is its ability to access a significantly larger virtual address space compared to its 32-bit predecessor. In x86-64, the virtual address space is indeed 64 bits wide, allowing for a theoretical capacity of 2^64 bytes, which is an enormous amount of memory.

The misconception that only 48 bits are used for representing the virtual address space may arise from the fact that current x86-64 implementations typically limit the practical addressable space to 48 bits. This is known as the "canonical address space" and allows for 256 terabytes of addressable memory. The remaining 16 bits are reserved for future expansion and are not utilized in most current systems. However, the full 64-bit address space is still available in the architecture and can be used if needed in future hardware implementations or specialized applications.

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