An explanation needed, thx


The points (-4,2) and (4,2) are two vertices of a square. State all other order pairs that could be the other two vertices of the square.

Answer:

y = 7x - 4

Step-by-step explanation:

To solve the equation of this line ( in point - slope form ) we would have to first identify the slope. If we are given the points ( 0, - 4 ) and ( 1, 3 ) then through the change in y / change in x, we can calculate the value of this slope. Take a look at the steps below;

\(( 0, - 4 ), ( 1, 3 )\\\\Slope = y2 - y1 / x2 - x1,\\\\Slope = - 4 - 3 / 0 - 1,\\Slope = - 7 / - 1\\Slope = 7 / 1\\\\Slope = 7\)

Now that we have the slope of this line, we have assume part of the equation of this line ( that passes through the points ( 0, - 4 ) and ( 1, 3 ) );

\(y = mx + b -\\m = slope, b = y - intercept\)

Plug in the value of slope for " m " in y = mx + b, and determine the y - intercept by plugging in x as 0 and y as - 4, given the point ( 0, - 4 );

\(- 4 = 7 * ( 0 ) + b,\\- 4 = 0 + b,\\b = - 4\)

From this information, we can say that the equation of this line is y = 7x - 4;

Solution, y = 7x - 4

Given:

The number of potential customers =40.

The data from the given chart is

40,32,8,20

Hence the average number of locations chosen per potential customer is 2.5.

Yes, it is True that The sensitivity range for an objective function coefficient (range of optimality) is the range of values over which the current optimal solution point (product mix) will remain optimal.

The sensitivity range for an objective function coefficient, also known as the range of optimality, is the range of values over which the current optimal solution (product mix) will remain optimal. This range represents the tolerance for changes in the objective function coefficients without causing the optimal solution to change.

The range of optimality is determined by analyzing the linear programming model and checking how changes in the objective function coefficients affect the optimal solution. If a change in an objective function coefficient falls within the sensitivity range, it means that the current optimal solution will still be optimal, even with the change. However, if the change falls outside the sensitivity range, it will cause the optimal solution to change.

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Answer:

x= -3/2 or x=1.

Step-by-step explanation:

First, make the equation into a factorable form by subtracting 2 from each side to get 2x²+x-3=0. Then factor that into (2x+3)(x-1)=0. Then, you would do 2x+3=0, 2x=-3, x= -3/2. After that, do the second equation x-1=0, x=1.

(hope this helps :P)

Answer:

I believe that corect answer is x=2

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

substituting the values given

lhs = rhs

-x^3 = 2x^2

x = -2

Answer

The average rate of change of the function y = 18 on the interval [1000, 10,000] is ZERO

SOLUTION

Problem Statement

The question wants us to find the average rate of change of the function y = 18 on the interval [1000, 10,000].

Method

- The function given is a constant function. This means that for every value of x from -∞ to +∞, the value of the function will always be y = 18.

- Since y is a function of x (albeit a constant function of x), it can be written as y = f(x).

- With these in mind, we can find the average rate of change of the function using the formula given below:

- Note that since the function is a constant function, we should expect that its rate of change should be ZERO since the function is constant throughout despite the value of x.

Let us apply the formula above to find the average rate of change of the given function.

Implementation

The average rate of change of the function y = 18 is gotten below:

Final Answer

The average rate of change of the function y = 18 on the interval [1000, 10,000] is ZERO

Answer:

  False

Step-by-step explanation:

You want to know if it is true that the graph of a rational function cannot cross a horizontal asymptote.

Once a function is on its final approach to an asymptote, it will approach, but not cross, that asymptote.

The function may have a variety of behaviors prior to that point, so may cross the horizontal asymptote one or more times before its final behavior is established.

An example with the asymptote y = 0 is attached.

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Answer:

(-3,-1)

Step-by-step explanation:

Its where the two intercect

Answer:

x = /3 + n

Step-by-step explanation:

I isolated the function and then took the inverse to find the solution(s).

Answer:

Complementary angels are basically two angles that add up to 90 degrees. Supplementary angles are two angles that add up to 180 degrees.

Step-by-step explanation:

(self-explanatory)

I hope this helps, have a nice day.

The term "normally distributed error term with mean of zero" refers to the residual errors in a statistical model that follow a normal distribution with an average (mean) value of zero.

In statistics, when we use a model to represent data, there is often some variability or discrepancy between the predicted values of the model and the actual observed values. This discrepancy is captured by the error term, which represents the unexplained variation in the data.

A normally distributed error term with a mean of zero means that, on average, the errors have no bias or systematic tendency to be positive or negative. This means that the model is not consistently overestimating or underestimating the true values.

To illustrate this concept, let's consider a simple example. Suppose we have a linear regression model that predicts the exam scores of students based on the number of hours they studied. The error term in this model represents the difference between the predicted scores and the actual scores.

If the error term is normally distributed with a mean of zero, it implies that, on average, the predicted scores will be equal to the actual scores. However, individual predictions may still deviate from the true values due to random fluctuations.

In practical terms, a normally distributed error term with a mean of zero is desirable because it indicates that the model is unbiased and does not systematically under- or over-predict the outcomes. This assumption is often made in statistical analyses to ensure the validity of the results and to make appropriate inferences.

In summary, a normally distributed error term with a mean of zero implies that the errors in a statistical model have no systematic bias and follow a normal distribution. This assumption is important in many statistical analyses and helps to ensure the accuracy and reliability of the model's predictions.

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the value of the expression is 12.

To solve the following using BEDMAS 5X4 - (3 + 1)2 ÷ 2:BEDMAS is an acronym that represents the order of operations for arithmetic operations in the correct order, that is, "Brackets", "Exponents", "Division and Multiplication", and "Addition and Subtraction."The full form of BEDMAS is- B stands for Brackets.E stands for Exponents.D stands for Division.M stands for Multiplication.A stands for Addition.S stands for Subtraction.

The given expression is;5X4 - (3 + 1)2 ÷ 2When we solve this expression using the BEDMAS rule of the order of operations, we get;= 5 x 4 - (3 + 1) x 2 ÷ 2[Since brackets comes first, then multiplication and division, followed by addition and subtraction.]= 20 - 4 x 2 ÷ 2[Perform multiplication: 3 + 1 = 4 and 4 x 2 = 8]= 20 - 8[Perform Division: 8 ÷ 2 = 4]= 12Therefore, the value of the expression is 12.The solution of the given expression using the BEDMAS rule of the order of operations is explained. The BEDMAS rule defines the correct order in which arithmetic operations should be performed.

It consists of four fundamental operations. They are brackets, exponents, multiplication and division, and addition and subtraction. The expression, 5X4 - (3 + 1)2 ÷ 2, can be solved using the BEDMAS rule of operations. First, we will simplify the brackets, followed by division and multiplication, then addition and subtraction. We will get the following expression 5 x 4 - (3 + 1) x 2 ÷ 2. We will then perform multiplication by finding the product of (3 + 1) and 2, which equals 8. Finally, we will perform division by dividing 8 by 2, which equals 4. After we have completed these steps, we will subtract 8 from 20 to get the final answer of 12.

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Answer + Step-by-step explanation:

Example: =================

3D figure = rectangular prism

………………………………………………………………………………

Formula : =================

Volume of Rectangular Prism: V = lwh.

Surface Area of Rectangular Prism: S = 2(lw + lh + wh)

Answer:

Step-by-step explanation:

2590

Answer:

x = 7

Step-by-step explanation:

5x - 2 + x = 9 + 3x + 10

5x + x - 2 = 9 + 10 + 3x

5x + x - 3x - 2 = 9 + 10 + 3x - 3x (substracted 3x from both sides)

3x - 2 = 19

3x = 19 + 2

3x = 21

x = 21 : 3

x = 7

Answer:

The fraction of the beads that are red is

Step-by-step explanation:

Algebraic Expressions

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

\(\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]\)

Knowing that:

\(\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]\)

\(\displaystyle \frac{y}{b}=\frac{5}{4}\)

Multiplying the equations above:

\(\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}\)

Simplifying:

\(\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]\)

Dividing [1] by r:

\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}\)

Substituting from [2] and [3]:

\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}\)

Operating:

\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}\)

\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}\)

\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}\)

The fraction of the beads that are red is \(\mathbf{\frac{10}{37}}\)

Answer:

A

Step-by-step explanation:

Because its the right answer

Answer:

50.27 cm

Step-by-step explanation:

We Know

The area of the circle = r² · π

Area of circle = 64π cm²

r² · π = 64π

r² = 64

r = 8 cm

Circumference of circle = 2 · r · π

We Take

2 · 8 · (3.1415926) ≈ 50.27 cm

So, the circumference of the circle is 50.27 cm.

Answer: C=16π cm or 50.24 cm

Step-by-step explanation:

The formula for area and circumference are similar with slight differences.

\(C=2\pi r\)

\(A=\pi r^2\)

Notice that circumference and area both have \(\pi\) and radius.

\(64\pi=\pi r^2\)        [divide both sides by \(\pi\)]

\(64=r^2\)             [square root both sides]

\(r=8\)

Now that we have radius, we can plug that into the circumference formula to find the circumference.

\(C=2\pi r\)          [plug in radius]

\(C=2\pi 8\)          [combine like terms]

\(C=16\pi\)

The circumference Is C=16π cm. We can round π to 3.14.

The other way to write the answer is 50.24 cm.

Logarithms are a useful tool in determining the acidity or basicity of a solution. pH is a measure of the concentration of hydrogen ions in a solution and is calculated using the formula pH = -log[H+].

A solution with a pH of 7 is considered neutral, while a pH below 7 indicates acidity and a pH above 7 indicates basicity.

Using logarithms, we can determine the pH of 7 solutions ranging from strong acid to neutral to strong base. To do this, we need to measure the concentration of hydrogen ions in each solution and then use the formula above to calculate the pH.

For example, if we have a solution with a hydrogen ion concentration of 0.001 M, we can calculate the pH as follows:

pH = -log(0.001) = 3

This solution would be considered a strong acid, as it has a pH below 7. Similarly, a solution with a hydrogen ion concentration of 10^-7 M (which is the same as a concentration of 1x10^-7 M) would have a pH of 7 and would be considered neutral.

Finally, a solution with a hydrogen ion concentration of 10^-11 M would have a pH of 11 and would be considered a strong base.

In summary, using logarithms, we can determine the acidity or basicity of a solution by calculating its pH. A pH of 7 is considered neutral, while a pH below 7 indicates acidity and a pH above 7 indicates basicity.

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Answer:

3 feet

Step-by-step explanation:

12 inches = 1 foot

36 inches = 36 / 12 = 3 feet

Answer:

9/2

Step-by-step explanation:

2/3 + 3/4 + 5/6 + 4/8 + 3/12 + 3/2 =

= 16/24 + 18/24 + 20/24 + 12/24 + 6/24 + 36/24

= 108/24

= 54/12

= 9/2

\($$\boxed{\frac{11}{x+1} - \frac{3}{(x+1)^2} + C}$$\) where C is the constant of integration.

4. To solve the given integral, we will first perform partial fraction decomposition:\($$\frac{x^2 +10x -20}{(x-4)(x-1)(x+2)} = \frac{A}{x-4} + \frac{B}{x-1} + \frac{C}{x+2}$$\) Now, multiplying both sides by the denominator, we have: \($$x^2 +10x -20 = A(x-1)(x+2) + B(x-4)(x+2) + C(x-4)(x-1)$$\) Expanding and simplifying the above equation yields: \($$x^2 +10x -20 = (A+B+C)x^2 + (-6A -7B -11C)x + (2A +8B +4C)$$$$\)

\(A+B+C=1 \\ -6A -7B -11C\)

\(= 10 \\ 2A +8B +4C\)

\(= -20 \end{cases}$$\) Solving for A, B, and C, we obtain:

\($$A = \frac{1}{15},\quad B\)

\(= -\frac{1}{6},\quad C\)

\(= -\frac{2}{5}\) Hence, we can rewrite the integral as: \($$\int \frac{x^2 +10x -20}{(x-4)(x-1)(x+2)}dx\)

\(= \frac{1}{15} \int \frac{1}{x-4} dx - \frac{1}{6}\int \frac{1}{x-1} dx - \frac{2}{5}\int \frac{1}{x+2} dx$$$$\)

\(= \frac{1}{15}\ln\left|\frac{x-4}{x+2}\right| - \frac{1}{6}\ln|x-1| - \frac{2}{5}\ln|x+2| + C$$\) where C is the constant of integration.

To evaluate the given integral, we will use the substitution \($u = x+1 \implies du\)

\(= dx$\). Substituting these into the integral, we have: \($$\int \frac{3x+5}{(x+1)^2} dx\)

\(= \int \frac{3(u-1)+8}{u^2} du$$$$\)

\(= 3\int \frac{1}{u^2} du + 8\int \frac{1}{u^2} du - 3\int \frac{1}{u} du\)

\(= \frac{11}{u} - \frac{3}{u^2} + C$$$$\)

\(= \frac{11}{x+1} - \frac{3}{(x+1)^2} + C$$\) where C is the constant of integration.

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The effective interest on £2000 at a 3% interest rate compounded quarterly over a period of 4 years is approximately £245.15.

To calculate the effective interest, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment (including interest)

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of compounding periods per year

t = the number of years

In this case, the principal amount (P) is £2000, the annual interest rate (r) is 3% (or 0.03 as a decimal), the compounding is done quarterly (n = 4), and the investment period (t) is 4 years.

Plugging the values into the formula:

A = £2000(1 + 0.03/4)^(4*4)

= £2000(1 + 0.0075)^16

= £2000(1.0075)^16

≈ £2000(1.126825)

Calculating the future value:

A ≈ £2253.65

To find the effective interest, we subtract the principal amount from the future value:

Effective Interest = £2253.65 - £2000

≈ £253.65

Therefore, the effective interest on £2000 at a 3% interest rate compounded quarterly after 4 years is approximately £253.65.

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The equilibrium price is the price at which the quantity demanded equals the quantity supplied.

Looking at the graph, we can see that the demand curve intersects the supply curve at a quantity of approximately 200 million boxes. To find the corresponding equilibrium price, we need to find the price level at this quantity.

From the graph, we can observe that the price axis ranges from $20 to $40. Since the graph is not accurately scaled, we can estimate the equilibrium price to be around $30 per box based on the midpoint of the price range.

Therefore, the equilibrium price in this market is approximately $30 per box.

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Answer:

Step-by-step explanation:

Correct choice is C

Answer:

→ cos∅ = base/hypotenuse

→ cos(M) = MN/ML

→ MN = √(ML²-NL²)

= √(25²-15²)

= √(625-225)

= √400

= 20

→ML = 25

Therefore, cos(M) = 20/25 = 4/5

Each pack should weigh 11.5 oz when the seeds are redistributed equally.

Since Mr. Salinger wants to redistribute the seeds in such a way that each pack weighs the same, he needs to find the common weight of all the packs. To do this, he can find the total weight of all the packs and divide it by the number of packs.

Using the line plot, we can see that the weights of the 8 packs are:

12 oz

8 oz

10 oz

10 oz

12 oz

14 oz

10 oz

16 oz

To find the total weight of all the packs, we can add these weights together:

12 + 8 + 10 + 10 + 12 + 14 + 10 + 16 = 92 oz

So the total weight of all the packs is 92 oz.

To find the weight of each pack, we need to divide the total weight by the number of packs:

92 ÷ 8 = 11.5 oz

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Answer: The population would be the data of temperatures of all food served by the restaurant.

Step-by-step explanation:

In a statistical study, the term population refers to the largest group of all individuals related to the study or the objective of the study.

Here, the objective of the study= To check the temperatures of food just before serving.

Population = Data of temperatures of all dishes served by restaurant.

Hence, the population would be the data of temperatures of all dishes served by the restaurant.

So he makes 14 points per 8 minutes, and you need to find how many points he scores in 21 minutes.

\(\frac{8}{14} = \frac{21}{x}\)

To get from 8 to 21, you have to multiply by 2.625

So do the same thing to the denominator; 14 × 2.625 = 36.75

Since 0.75 point is no point so you round down.

Jack scores 36 points in 21 minutes.

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:

x =36.75 points or approximately 37 points

Step-by-step explanation:

We can use a ratio to solve

8 minutes         21 minutes

----------------- = ----------------

14 points            x points

Using cross products

8x = 14*21

8x =294

Divide by 8

8x/8 = 294/8

x =36.75 points or approximately 37 points