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Find the slope and y intercept for y = 3x - 2.

Answer:

\(\Huge \boxed{\£55}\)

________________________________________________________

A 17% reduction means that the dress cost 83% (100 - 17) of the original amount.

\(\large \fbox{\begin{minipage}{8.1 cm}83\% of the original price = \£45.65\\\\$\Rightarrow$1\% of the original price = $\frac{45.65}{83}$\\\\$\Rightarrow$1\% of the original price = 0.55\\\\$\Rightarrow$100\% of the original price = 0.55 \times 100\\\\$\Rightarrow$100\% \text{ of the original price = \£55}\end{minipage}}\)

To work out 83% of the original price, you multiply by 0.83. We can do the inverse, which is dividing by 0.83.

                                 ×0.83

Original Price →→→→→→→→→→→→→ Sale Price

        £?           ←←←←←←←←←←←←←     £45.65

                                ÷0.83

\(\large \boxed{\begin{minipage}{7 cm}Original Price = $\frac{\text{Sale Price}}{0.83}$\\\\$\Rightarrow$Original Price = $\frac{45.65}{0.83}$\\\\$\Rightarrow$Original Price = \£55\end{minipage}}\)

Therefore, the original price of the dress is £55.

________________________________________________________

Answer:

y = 3x + 5

Step-by-step explanation:

y = total cost

x =  basket of apples

5 = admission fee

y =  cost per basket  + admission fee  

y =  3x + 5

Answer:

y+3=-5(x-4)

Add 20 characters to explain the point

Answer:

144 in.

Step-by-step explanation:

Trust me. I used my big brain:)

Answer:

144.78

Step-by-step explanation:

multiply the length value by 2.54

Hyperkalemia is a medical condition that refers to an elevated level of potassium in the blood.

This condition can be caused by several factors, including kidney disease, certain medications, and hormone imbalances. Symptoms of hyperkalemia can range from mild to severe, depending on the level of potassium in the blood.

In a 60-year-old female diagnosed with hyperkalemia, the most likely symptom that would be observed is muscle weakness. This is because high levels of potassium can interfere with the normal functioning of muscles, leading to weakness, fatigue, and even paralysis in severe cases.

Other symptoms that may be observed in hyperkalemia include nausea, vomiting, irregular heartbeat, and numbness or tingling in the extremities. Treatment of hyperkalemia typically involves addressing the underlying cause of the condition, as well as managing symptoms through medication and lifestyle changes.

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Answer:

The value π is a rational number.

Step-by-step explanation:

Answer:

The factor used to create the dilation is 3

Step-by-step explanation:

<3333

In the context of rubiks cube solving the rate at which one can solve a rubiks cube is determined by the number of cubes solved and the time taken

In this question we were told that moira solved a rubiks cube in 3 minutes 30 seconds

Let us convert time total time to seconds

3 minutes 30  in seconds = 3*60+ 30 = 180+30 = 210 seconds

Hence  Moira rate  = 1 rubiks cube/210 seconds

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The ideal travel angle for manual cutting operations is a push angle of 30-45 degrees.

Explanation: When performing manual cutting operations, it is important to consider the travel angle, which refers to the direction in which the cutting tool moves in relation to the workpiece. The recommended travel angle for most cutting operations is a push angle of 30-45 degrees. This means that the cutting tool should be positioned at an angle, pushing forward against the workpiece as it cuts. This angle allows for optimal cutting efficiency and control.

A push angle within this range ensures that the cutting force is distributed evenly, minimizing the risk of tool slippage or workpiece damage. It also helps to maintain good visibility of the cutting path, reducing the chances of errors or accidents. Additionally, the push angle allows the operator to exert sufficient downward pressure on the cutting tool, aiding in effective material removal. Overall, a push angle of 30-45 degrees is considered the most effective for achieving accurate and efficient manual cutting operations.

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Answer:

20

Step-by-step explanation:

use slope formula, y² - y¹ / x² - x¹

you'd get 2,400 / 120

divide that and you end up with 20.

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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Answer:

Step-by-step explanation:

410 ft i think

Answer: 75.6

rounded= 76 ft

Step-by-step explanation:

Tan60= x/400 = 692.8

tan62.5= 4/400 =  768.4

x= 75.6ft

Check the picture below.

\((2)(7)~~ + ~~(5)(2)\implies 14+10\implies \text{\LARGE 24}\)

Answer:

D

Step-by-step explanation:

It is the law of cos

C^2= A^2+B^2-2*A*B*cosL where L is the angle between A and B

so C = 32^2 + 35^2 - 2(32)(35)cos120°

1, 140 °

2, 40°

3, 100 °

4, 100°

5, 40°

6, 90 °

7, 120 °

8, 130 °

Step-by-step explanation:

1, BOA IS EQUAL TO FOH = 140°

2, FOE EQUAL TO BOA = BOA = 40° = FOE = 40°

3, BOA° + GOF° =40° + 60° = 100 °

4, GOE = BOC WHICH MEAN GOE = 100° = BOC = 100°

5, COD = HOG =40 °

6, EOD= AOG = 90°

7, AOD = GOE + COD = 100° + 40 ° = 140°

8, BOG = 140 °

The probability of not spinning a 3 is 8/9

From the question, the given parameters are:

Number of sections = 9

Sections = Number 1 to 9

The probability of spinning a 3 = 1/9

The above probability can be represented as

P(3) = 1/3

The probability that the number 3 is not spun is the complement of the  probability of spinning a 3

This is calculated as

P(3) + P(Not 3) = 1

Substitute the known values in the above equation So, we have the following equation

1/9 + P(Not 3) = 1

Evaluate the like terms

P(not 3) = 8/9

Hence, the probability is 8/9

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The initial value problems can be solved using the method of Laplace transforms. For problem 1, the solution is y(t) =\(e^t(cos(2t) + 3sin(2t))\). For problem 3, the solution is y(t) = \(e^(-3t)\)(2cost - sint). For problem 7, the solution is y(t) = 2e^(2t) + 3e^(5t) + (2/3)cost - (1/3)sint.

For problem 1, taking the Laplace transform of y" - 2y' + 5y = 0 gives us s^2Y(s) - 2sY(s) + 5Y(s) = Y''(s) - 2sY(s) + 5Y(s) = 0. Applying the initial conditions, we get Y(s) = \((s + 1)/(s^2 - 2s + 5)\). Simplifying and finding the inverse Laplace transform, we obtain y(t) = \(e^t\)(cos(2t) + 3sin(2t)).

For problem 3, taking the Laplace transform of y" + 6y' + 9y = 0 gives us s^2Y(s) + 6sY(s) + 9Y(s) = Y''(s) + 6sY(s) + 9Y(s) = 0. Applying the initial conditions, we get Y(s) = \((s + 3)/(s^2 + 6s + 9)\). Simplifying and finding the inverse Laplace transform, we obtain y(t) = e^(-3t)(2cost - sint).

For problem 7, taking the Laplace transform of y" - 7y' + 10y = 9cost + 7sint gives us \(s^2Y(s)\) - 7sY(s) + 10Y(s) = \((9s)/(s^2 + 1)\) + \((7)/(s^2 + 1).\)Applying the initial conditions, we get Y(s) = \((9s + 7)/(s^2 - 7s + 10).\) Simplifying and finding the inverse Laplace transform, we obtain y(t) = \(2e^(2t) + 3e^(5t) + (2/3)\)cost - (1/3)sint.

These solutions are obtained by applying the method of Laplace transforms to the given initial value problems, providing the solutions in the time domain.

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Simplifying the expression, 7x + 9 - 3x + 4, we can combine the like terms to get: 4x + 13.

Like terms are terms that have the same degree or are of the same variable, for example, 3x and 7x are like terms, 9 and 4 are like terms as well because they are constants.

Given the expression, 7x + 9 - 3x + 4, we can simplify the expression by combining like terms as shown below:

Rearrange the expression:

7x - 3x + 9 + 4 [note that 7x and 3x are like terms while 9 and 4 are also like terms]

Combine like terms:

4x + 13

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The amount of space Mackenzie need to cover with paint in her new room is 825 square inches.

The shape of Mackenzie in a cuboid

Length, l = 14 ½ ft

Width, w = 12

Height,h = 9 ft

Surface area of a cuboid = 2(lh + lw + wh)

= 2(14 ½ × 9 + 14 ½ × 12 + 12 × 9)

= 2(130.5 + 174 + 108)

= 2(412.5)

= 825 square inches

Therefore, Mackenzie needs to cover 825 square inches of her new room with Beyoncé Fierce Pink paint.

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The general solution to the system of equations is:

x(t) = c1*[1, 1]*exp(0*t) + c2*[1, -1]*exp(2*t)

where c1 and c2 are constants.

To find a linearly independent pair of solutions for the given system of equations, we first need to find the eigenvalues and eigenvectors of the coefficient matrix.

The coefficient matrix is

[ 1 -1 ]

[ 1 -1 ]

The characteristic equation is:

det(A - λI) = 0

where A is the coefficient matrix, λ is the eigenvalue and I is the identity matrix.

Substituting the values we get,

det( [1-λ -1  ] ) = (1-λ)(-1) - (-1)(-1) = λ^2 - 2λ = 0

    [-1  1-λ]

Solving for λ, we get λ=0, λ=2.

Now we need to find the eigenvectors for each eigenvalue λ.

For λ=0, we have:

(A - 0I)x = 0

[1  -1] [x1]   [0]

[1  -1] [x2] = [0]

This gives us the equation x1 = x2. Thus, any vector of the form [t, t] where t is any non-zero constant will be an eigenvector corresponding to λ=0.

For λ=2, we have:

(A - 2I)x = 0

[-1  -1] [x1]   [0]

[ 1  -1] [x2] = [0]

This gives us the equation x1 + x2 = 0. Thus, any vector of the form [t, -t] where t is any non-zero constant will be an eigenvector corresponding to λ=2.

Therefore, a linearly independent pair of solutions is:

x1 = [1, 1], corresponding to λ=0

x2 = [1, -1], corresponding to λ=2

So the general solution to the system of equations is:

x(t) = c1*[1, 1]*exp(0*t) + c2*[1, -1]*exp(2*t)

where c1 and c2 are constants.

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Explanation:

Use the trigonometric ratio cosine.

Remember that \(\cos(x) = \dfrac{\textrm{adjacent}}{\textrm{hypotenuse}}\).

So, we can construct the following equation using the given triangle:

\(\cos(23\textdegree)=\dfrac{11}{x}\)

And solve for x. First, take the reciprocal of both sides (flip both sides).

\(\dfrac{\cos(23\textdegree)}{1}=\dfrac{11}{x}\)

        ↓

\(\dfrac{1}{\cos(23\textdegree)}=\dfrac{x}{11}\)

Then, multiply both sides by 11.

\(11\cdot\left(\dfrac{1}{\cos(23\textdegree)}\right)=\left(\dfrac{x}{11}\right) \cdot 11\)

\(\dfrac{11}{\cos(23 \textdegree)} = x\)

\(x = \dfrac{11}{\cos(23 \textdegree)}\)

Finally, plug this fraction into your calculator as 11/cos(23) to get approximately 11.95.

Also, make sure that your calculator's mode is degrees, NOT radians.

Option D. The faculty should use the median to make their argument. The median will be lower than the mean since the mean is influenced by the few extremely high salaries.

Mean is the average of any data set whereas the median is the middle value we get after arranging the data in ascending order.

So for example, if the salaries of any 5 faculty members are as follows:

$10,000 , $50,000 , $80,000 , $150,000 , $160,000

Mean= (10,000+50,000+80,000+150,000+160,000) / 5

Mean= $90,000

Median= (5+1) / 2

Median= 6/2

Median= 3rd value

As the data is already arranged in ascending order, Median is $80,000

Hence, if the faculty want to give the community the impression that they deserve higher salaries, they should advertise the median of their current salaries.

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Of the three Ms, the median is especially useful when extreme figures may warp the average. It is because the median is the middle value in a set of data, and it is not affected by extreme values as the mean is.

The three Ms refer to the measures of central tendency: mean, median, and mode. These measures help summarize and describe a dataset.

In situations where extreme figures may distort the average, the median is particularly useful. The median is the middle value in a dataset when the data is arranged in ascending or descending order.

It is not affected by extreme values, also known as outliers, as it only considers the position of the middle value.

Unlike the mean, which takes into account all values and can be influenced by extreme figures, the median provides a more robust measure of central tendency.

It is resistant to the influence of outliers and extreme values, making it a suitable choice when extreme figures may warp the average.

Therefore, it provides a more accurate representation of the data.

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Answer:

28 students total.

Step-by-step explanation:

Let's use a ratio:

boys : girls

 4     :   3

 16    :   12

To find the total, we need to add 16 and 12 which equals 28

Answer:

28 students

Step-by-step explanation:

If 4/7 of the students are boys,

then 1- 4/7 = girls

7/7 -4/7 = 3/7

total students *3/7 = girls

total students * 3/7 = 12

Multiply each side by 7/3

total students * 3/7 *7/3 = 12*7/3

total students = 28

Answer:

3 rovers

Step-by-step explanation:

6 can only go into 20 three times:

6, 12, 18, 24,

1    2    3

Answer:

Triangle ABC ~ DAC

Step-by-step explanation:

If you would like a full explanation let me know and I'll try my best.  

ABC ~ DAC

Step-by-step explanation:

yw

Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

Answer:

slope=(y2-y1)/(x2-x1)

=(1/b-1/a)/(b-a)

=((a-b)/ab)/(b-a)

=(a-b)/ab(b-a)

=(a-b)/(-(ab(a-b))

=-1/ab

The  slope of the line containing the points should be considered as the \(-1/ab\)

Since we know that

slope should be

\(=(y2-y1)/(x2-x1)\\\\=(1/b-1/a)/(b-a)\\\\=((a-b)/ab)/(b-a)\\\\=(a-b)/ab(b-a)\\\\=(a-b)/(-(ab(a-b))\\\\=-1/ab\\\\\)

Hence, The  slope of the line containing the points should be considered as the \(-1/ab\)

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According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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Answer:

50-50 chance I suppose (1/2 or 5/10) or 40% to 60% percent chance

Step-by-step explanation:

He can guess all of the questions and get all of them right, and it is a possibility that he can also get all of them wrong. So I say, 50-50. I can't lie, I'm having trouble with probability as we speak.