Factorise : (5a-3b)2-1662​
pls give step by step

Answer:

4

Step-by-step explanation:

Fixed costs are expenses that remain constant regardless of the level of production. The calculation of average fixed costs (AFC) is obtained by dividing the total fixed cost by the number of units produced.

AFC provides the amount per unit that the company will spend on fixed costs to produce a given quantity of output. Therefore, to calculate the average fixed cost at the Shanghai factory if the 2020 output level (= 35,000 cars annually) were maintained for ten years, we will first calculate the total fixed costs.

The formula for calculating average fixed cost (AFC) is:

Average Fixed Cost (AFC) = Total Fixed Cost / Quantity ProducedTotal Fixed Cost is obtained by multiplying the fixed cost per unit with the total number of units produced.

Total Fixed Cost (TFC) = Fixed Cost per Unit × Number of Units ProducedThe problem does not provide any information about the fixed cost per unit, which is why it cannot be calculated.

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To calculate the average fixed cost at the Shanghai factory, divide the total fixed costs by the output level. For a given output level of 35,000 cars annually maintained for 10 years, the average fixed cost would be $285.71 per car.

To calculate the average fixed cost at the Shanghai factory, we need to divide the total fixed costs by the output level. Since the question specifies that the output level is 35,000 cars annually and we want to maintain this level for 10 years, we can calculate the average fixed cost as follows:

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The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6). The correct answer is D.

The solution to the system of equations can be calculate as follows

From the question we can conclude that the equations are :

y = 1.5x - 4

y = -x

to find the value of x and y  we can substitute y = -x in the first equation so it became

-x = 1.5x - 4

-1.5x - x = -4

-2.5x = -4

x = 1.6

after we found the value of x we can find the value of y by Substitute

x = 1.6 in y = -x

y = -1.6

Therefore, the solution to the y = 1.5x - 4 and y = -x  is (1.6,-1.6).

Your question is incomplete but most probably your full question was

What is the solution to the system of equations y = 1.5x – 4 y = –x

a.(–1.6, 1.6)

b.(–1.5, 1.5)

c. (1.5, –1.5)

d. (1.6, –1.6)

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The process of breaking down a complex argument or problem into smaller, more manageable components is known as "analysis" or "analytical reasoning."

This approach allows us to examine the various parts of a complex issue individually, facilitating a deeper understanding and easier solution finding.

Analytical reasoning involves dissecting a problem or argument into its constituent elements, identifying relationships between them, and evaluating their individual roles and contributions. By breaking down the problem, we can focus on each component separately, which can lead to clearer insights and more effective problem-solving strategies.

This method of analysis is commonly used across various disciplines, including mathematics, science, philosophy, and critical thinking. It helps us understand complex phenomena, solve intricate equations, and make informed decisions based on careful examination.

The benefits of breaking down a big argument or problem into smaller components are manifold. It helps to identify patterns, uncover hidden relationships, and clarify any ambiguities or misconceptions. By addressing each component individually, we can apply specific strategies or methods that are relevant to that particular element, making the problem more approachable and manageable.

Overall, The process of breaking down a complex argument or problem into smaller, more manageable components is known as "analysis" or "analytical reasoning." It enables us to grasp intricate concepts, develop logical reasoning, and arrive at well-structured and comprehensive solutions.

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The true statements about the pool are

The given parameters are:

To measure the drain, we simply calculate the perimeter of the edge of the pool.

This means that (a) is correct

When the volume is calculated, the unit is cubic yard or yd³.

This means that (b) is wrong

The area of the cover is:

Area = Length * Width

This gives

Area = 25 yards * 10 yards

Evaluate

Area = 250 square yards

This means that (c) is correct

The length of the drain is calculated as:

Perimeter = 2 *(Length + Width)

This gives

Perimeter = 2 * (25 + 10)

Evaluate

Perimeter = 70

This means that (d) is wrong

Lastly (e) is correct, because the width of pool is 10 yards

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Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.

Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

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Answer: 39 tins of cat food.

Step-by-step explanation:

I am assuming the question is how the number of tins that can be bought.

Step 1 - Discounted price

With the discount a tin would cost;

= 80 * ( 1 - 25%)

= 60 cents

Step 2 - Packs of 6 purchased at discounted price

Every pack of 6 attracts 60 cents off which means that they are paying the price of 5 tins for 6 tins.

Price of 5 tins;

= 60 * 5

= $3

Out of $20, the number of packs of 6 he can buy are;

= 20/ 3

= 6.67

= 6 packs of 6

Step 3 - Number tins not in pack of 6 bought

If he buys 6 packs of 6 the amount of money left is;

= 20 - ( 6 * 3)

= $2

With these $2, he could buy;

= 200 cents/60 cents

= 3.333

= 3 tins

Step 4 - Total number of Tins bought

The total number of tins he can buy are therefore;

= 6 packs of 6 + 3 tins

= (6 * 6) + 3

= 39 tins of cat food.

Answer:

5.82.384.8+9×8=8×99+8×6×8+9×

Answer: They are equivalent

Step-by-step explanation:

2.2x+3.8x=6x

5.5-4.1=1.4

By transitive property, proved RQ is parallel to SU.

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

Given that,

RS║VT

∠6≅∠3

To prove: RQ║SU

RS║VT (Given)

∠6≅∠3 (Given)

∠5≅∠3 (Alternate interior angles between the parallels RS and VT)

Now, ∠6≅∠5 (Transitive property)

Since, ∠6 is congruent to ∠5, then they are alternate angles between RQ and SU.

Then, RQ║SU

Hence, proved RQ is parallel to SU.

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The hash of the given message is 135.

In computing, a message digest is a fixed-sized string of bytes that represents the original data's cryptographic hash. This hash is used to authenticate a message, guaranteeing the integrity of the data in the message.

Here, it is given the message m = 23  

The formula to calculate hash is him) - (m*7;2 MOD 7793.

So, let's calculate the hash : him) - (m*7;2 MOD 7793(him) - (23*7;2 MOD 7793

⇒ (8*23) - (49 MOD 7793)

⇒ 184 - 49= 135.

So, the hash of the given message is 135.

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A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.

A ray is named using its endpoint first, and then any other point on the ray

Properties of ray:

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The relationships between the numerator and denominator coefficients of a circuit and the values of resistance (R), inductance (L), and capacitance (C) depend on the specific circuit configuration and the transfer function associated with it.

In general, the numerator coefficients of the transfer function represent the output variables of the circuit, while the denominator coefficients represent the input variables. The coefficients are determined by the circuit elements (R, L, C) and their interconnections.

For example, in a simple RC circuit (resistor and capacitor), the transfer function can be written as a ratio of polynomials in the Laplace domain. The denominator coefficients correspond to the characteristic equation of the circuit and involve the resistance and capacitance values. The numerator coefficients may be related to the initial conditions or external inputs.

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Answer:

C

Step-by-step explanation:

Hope it helps

Answer:

215$ in profit

Step-by-step explanation:

So first, plug 52 into the equation. That makes it 7+52*4. In PEMDAS, multiplication goes first. So multiply 52*4. That makes it 208. So now plug 208 into the equation. That is 7+208. Finally, you finish the equation. 7+208 is 215, so Ricky make 215$ in profit.

Step-by-step explanation:

the general equation of a parabola is

y = a(x – h)² + k.

(h, k) is the vertex of the parabola.

comparing it to

y = 3(x + 4)² - 2

we see that (h, k) = (-4, -2).

the student made a sign mistake. it is "- h" in the squared factor. so, "+4" indicates "-4" as "h".

but the student simply used "+4".

Answer: you will either Add or Multiply

Step-by-step explanation:

Answer:

if I'm remembering algebra correctly (5x+2) can't be added because 2 doesn't have an x

Probability of the event that there are no repeated letters is 0.5366.

Probability of an event is the division of total favorable outcomes by total number of outcomes.

Now, in this case a 6 letter pin is selected at random. Firstly there can be (26)⁶ pins that can be generated out of 26 letters. The total events where the repetition of the letter is not presents will be 26x25x24x23x22x21 (! = factorial).

So, P(there are no repeated letters) = (Total Pins in which there are no repeated letters)/(Total pins)

Putting all the values,

P(there are no repeated letters) = 26x25x24x23x22x21/(26)⁶

P(there are no repeated letters) = 0.5366

So, the probability that there are no repeated letters is 0.5366.

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<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

10 x 10 x 10 x 10

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

23

Step-by-step explanation:

To solve this question I have used some formula.

1. Formula to find the value of term

x + (term number - 1) × {(greater term number - smaller term number) ÷ (greater term containing value) - (smaller term containing value)}

2. Formula to find the value of x given in 1st formula

x = value containing by term - (term number - 1) × {(value containing by greater term - value containing smaller term) ÷ (6-4)}

Here greater term number means the value containing by the greater term. In this question greater term is 6 which contain a value in it that is 18. So, greater term number in this question is 18. So, smaller term number means the smaller term containing a value in it or the number containing by the greater term.

4th term = 8

To find the value of 7th term first we need to find the value of x.

              x = 8 - (4 - 1) × {(18 - 8) ÷ (6 - 4)}

              x = 8 - 3 × (10 ÷ 2)

              x = 8 - 3 × 5

              x = 8 - 15

              x = -7

Now, to check whether the value of x is -7, I have find the 4th term by replacing x with -7 in the 1st formula.

              = -7 + (4 - 1) × {(18 - 8)} ÷ (6 - 4)

              = -7 + 3 × (10 ÷ 2)

              = -7 + 3 × 5

              = -7 + 15

              = 8

Answer came 8 and its correct answer. So, the value of x is -7

I have also find the 6th term so you understand it more properly.

6th term = 18

              = -7 + (6 - 1) × [{(18 - 8)} ÷ (6 - 4)]

              = -7 + 5 × {(10 ÷ 2)}

              = -7 + 5 × 5

              = -7 + 25

              = 18

Answer of 6th term is also correct.

I think now you know how to find the 7th term.

7th term = -7 + (7 - 1) × {(18 - 8) ÷ (6 - 4)

              = -7 + 6 × (10 ÷ 2)

              = -7 + 6 × 5

              = -7 + 30

              = 23

If you think that I have made mistake anywhere or you did not understood my explanation than please ask me in comment or you can report this answer. But, before reporting please see carefully because, once any answer got reported you can't undo it.

Answer:

C

Step-by-step explanation:

The domain of the given function is  {–2, 0, 2} while range is {4, 0} so option (C) will be correct.

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

Given the function,

An arrow goes from negative 2 to 4, 0 to 0, and 2 to 4.

So,

-2 → 4 , 0 → 0 and 2 → 4

Since the domain is a set of input values here input is -2,0 and 2.

So

Domain = {-2,0,2}

And the range is a set of output values here output is 4, 0

So,

Range = {4,0}

Hence "The domain of the given function is  {–2, 0, 2} while range is {4, 0}".

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Answer:

Step-by-step explanation:

this is so confusing

the general solution of the boundary value problem for the heat equation with homogeneous mixed boundary conditions is given by u(t,x) = Σ[A_n sin(πnx/l)] e^(-λ_nαt), where the coefficients A_n are determined by the initial condition and the eigenvalues λ_n are determined by the boundary conditions on X(x).

1. The general solution of the boundary value problem for the heat equation with homogeneous mixed boundary conditions, u(t,0) = 0 and ∂xu(t,l) = 0, is given by u(t,x) = X(x)T(t), where X(x) represents the spatial component and T(t) represents the temporal component of the solution. The spatial component X(x) consists of a series of eigenfunctions that satisfy X''(x) + λX(x) = 0, with the boundary condition X(0) = 0 and X'(l) = 0. The eigenvalues λ_n are determined by these boundary conditions. The temporal component T(t) is obtained by solving the ordinary differential equation T'(t) = -λ_nT(t), with the initial condition T(0) = 1. The general solution is then expressed as an infinite sum involving the eigenfunctions and their corresponding coefficients.

2. To find the general solution, we consider the heat equation in one spatial dimension, given by ∂u/∂t = α∂²u/∂x², where α is the thermal diffusivity. By assuming a separable solution of the form u(t,x) = X(x)T(t), we can separate the variables and obtain two separate ordinary differential equations.

3. For the spatial component, we have X''(x) + λX(x) = 0, where λ is a constant determined by the boundary conditions. The general solution of this equation can be expressed as X(x) = A_n sin(πnx/l), where A_n is a coefficient and n is an integer representing the eigenfunction number. The boundary condition X(0) = 0 leads to A_n = 0 for n = 0, and for n > 0, we have X'(l) = A_n (πn/l) cos(πn) = 0, which gives us the condition πn = mπ, where m is a nonzero integer. Hence, the eigenvalues are λ_n = (mπ/l)².

4. For the temporal component, we solve the ordinary differential equation T'(t) = -λ_nT(t) with the initial condition T(0) = 1. This yields T(t) = e^(-λ_nαt). Combining the spatial and temporal components, we obtain u(t,x) = Σ[A_n sin(πnx/l)] e^(-λ_nαt), where the sum is taken over all nonzero integers n.

5. In conclusion, This solution represents an infinite sum of eigenfunctions, each multiplied by an exponential decay factor in time.

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Step-by-step explanation:

Volume of cylinder = π.r^2.h

h = 5 inch, r = 6 inch, π = 3.14

==> Volume = (3.14)×(6×6)×(5)

==> Volume = 565.2 inch^3

Hence the volume of cylinder is 565.2 cubic inches.

Answer:

16

Step-by-step explanation:

9+7=16

Answer:

34.24

Step-by-step explanation:

when dividing by a decimal, the original number increases

To divide 8.56 by 0.25, we can perform the calculation as follows:

8.56 ÷ 0.25 = 34.24

Therefore, the correct answer is D) 34.24.

Answer:

There is nothing positive or negative about zero. Zero is just zero. It is NEITHER positive NOR negative. To the right of zero on number line are positive numbers and on the left of zero, lie the negative numbers on the number line.

Answer:

Positive numbers are greater than 0 and located to the right of 0 on a number line. Negative numbers are less than 0 and located to the left of 0 on a number line. The number zero is neither positive nor negative.

The probability that a randomly selected household from this neighbourhood will only own a PVR is 11.1%.

The probability of a randomly selected household from this neighbourhood owning only a PVR can be calculated using the following formula:

P(A) = n(A)/n

Where P(A) is the probability of event A, n(A) is the number of households that own only a PVR and n is the total number of households surveyed.

In this case, n(A) = 30 and n = 270. Therefore, P(A) = 30/270 = 0.111 or 11.1%.

This means that the probability that a randomly selected household from this neighbourhood will only own a PVR is 11.1%.

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