how would 0.3333333 be classified

Answer:

Step-by-step explanation:

To solve the inequalities 2x - 15 < -0.8 and 2x - 15 > 0.8, we will solve them separately and then combine the solutions.

First, let's solve the inequality 2x - 15 < -0.8:

2x - 15 < -0.8

Add 15 to both sides:

2x < 14.2

Divide both sides by 2 (since the coefficient of x is 2 and it is positive, we don't need to flip the inequality symbol):

x < 7.1

Now, let's solve the inequality 2x - 15 > 0.8:

2x - 15 > 0.8

Add 15 to both sides:

2x > 15.8

Divide both sides by 2:

x > 7.9

So, the solutions to the inequalities are:

x < 7.1 and x > 7.9

To write these solutions in interval notation, we can express them as separate intervals and then combine them using the union symbol (∪):

Interval 1: (-∞, 7.1)

Interval 2: (7.9, +∞)

Combining these intervals, the solution in interval notation is:

(-∞, 7.1) ∪ (7.9, +∞)

Answer:

z/xy  where z units squared is the total area of the two outside walls and xy is the area of one sheet.

Step-by-step explanation:

First find the area of a single sheet as;

Length of the sheet is x units

Assume the width of the sheet to be y units

The area of the sheet will be : x* y = xy units squared.

Second, find the total area of the two outside corners walls of the bedroom.

Lets say the total area of the two outside walls is z units squared.

Then to get number of sheets of dry wall you need for the two outside walls of the bedroom will be;

= Total area of the two outside walls / The area of  one sheet

= z/xy

Use real values for x, y and z to find the actual number of sheets required for the two outside corners walls of the bedroom.

Answer:

3.775

Step-by-step explanation:

Answer:

3.775 OR 151/40 OR 3 31/40

Step-By-Step Explanation:

Subtract 8 2/5 by 4 5/8

The y-intercept is the point at which a line intersects the y-axis on a coordinate plane. It represents the value of the dependent variable (y) when the independent variable (x) is equal to zero. Thus, option D is correct.

The y-intercept is the value of y when   , and is represented by the point (0,b) on the coordinate plane.

To find the [y]-intercept, we need to set [x] equal to 0 in the equation for [h(x)]:

So the [y]-intercept is   , which means that when the baseball was initially hit (at [x=0]), it was at a height of   feet.

The [y]-intercept of a function represents the value of the function when the input is zero. In this case, the [y]-intercept of the function [h(x)] is:

\(h(0)=-16(0)^{2} +106(0)+3.2=3.2\)

Therefore, the [y]-intercept is 3.2, which represents the initial height at which the baseball was hit.

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The confidence interval for the slope of the regression line relating performance score is 0.71
                   
sample size (n) = 20

slope (b1) = 3.92 and SE of slope = 0.71

Degrees of freedom = 20 - 2 = 18          

Using t-table we get, t-critical value at significance level of 0.10 with 18 degrees of freedom is,

tα/2=1.734

The 90% confidence interval for the slope of the regression line relating performance score and time to fatigue is,

B1±Tα/2*SE

3.92±1.734(0.71) (c)

Regression analysis is a statistical measure that is used in many different fields, including investing, finance, sales, marketing, science, mathematics, and others. It tries to figure out how closely one dependent variable is related to a set of other changing variables. They are commonly referred to as independent variables.

For example, how commodity prices relate to the shares of companies that trade in those commodities.


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Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

\(C(x)=500+1.25x\)

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

\(R(x)=3.50x\)

Answer:

X = 66

Step-by-step explanation:

A straight line is equal to 180 degrees so if you have one side of that line you can figure out the inside angle.

Now that you have two of the angles inside the triangle add them up. All the interior angles of a triangle will add to 180. So add up 38 and 76 to get 114. Now do 180 - 114, you should get 66

so x = 66

Answer:

Sales budget $     for the 4 quarters is  $ 600,000    $ 720,000            $594000 and $ 825,000  

Production Budget in units for the four quarters i s     7997.6            9000             8900  and  10,350 units

Step-by-step explanation:

Sales Budget

Quarters               I                    II                    III                    IV

Sales Volume    8000           9600                7200            10,000

Sales Price       $75.00        $75.00           $ 82.50            $82.50

Sales $              600,000     720,000            594000         825,000  

We calculate the sales volume by applying the given percent to the sales units for each quarter. Then multiply it with the sales price to get the sales budget.

Production Budget

Quarters               I                    II                    III                    IV

Sales Volume    8000           9600                7200            10,000

+ Desired

Ending Inv.      2400            1800                3500               3850

Less Opening   -----              2400               1800               3500          

Production      7997.6            9000             8900                10,350          

We find the production budget units by adding the desired  ending inventory and subtracting the opening inventory from the sales units calculated above. The ending inventory of one quarter is the opening inventory of the next quarter.As we do not know the ending inventory of the previous year we cannot find the opening inventory of the 1st quarter of the year .

Answer:

B. 54 Joules

Step-by-step explanation:

Answer: B. 54 Joules

Step-by-step explanation:

Work = Force * displacement

W = F * d

To find the product of two vectors: F * d = F1 * d1 + F2 * d2

Force: (2, 6) <--- (to clarify above formula, F1 = 2, F2 = 6)

displacement: R(-3, 2) to S(9, 7)

Let's convert the displacement vector to component form:

(9 - (-3), 7 - 2) ---> (12, 5)

Now let's use the formula shown above to solve the problem:

F * d = F1 * d1 + F2 * d2

F * d = (2 * 12) + (6 * 5)

F * d = 24 + 30

F * d = 54

Work is expressed in Joules. So, the work done is 54 JOULES.

I hope that makes sense! Leave a comment or send a message if you have a question.

Answer:

Part A: A. 7.50 x b

Part B: $90

Step-by-step explanation:

Part A: The cost of a book is $7.50, so the equation that is going to tell you the total cost of however many books purchased is equation A.

Part B: $90. If the cost of a book is $7.50 and the teacher purchases 12 books, you do $7.50 x 12= $90. You can check the equation by adding $7.50 12 times. You will get the same result.

Answer:

the answer is D Because

Step-by-step explanation:

so I will say about $3.74

The ordered pair which is a solution to every linear equation of the form given is; (0, 0).

It follows from the task content that the ordered pair which satisfies the equation of the form y =Mx be determined.

On this note, since the product of any real number, slope in this scenario and 0 is; 0.

Ultimately, it follows that the required ordered pair is; (0, 0) for any real number value of the slope, m.

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The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

8

Step-by-step explanation:

Substitute the values in the expression, we have:

\(\displaystyle{|-1-3|+4}\)

Evaluate:

\(\displaystyle{|-4|+4}\)

Any real numbers in the absolute sign will always be evaluated as positive values. Thus:

\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)

Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.

Answer and Step-by-step explanation:

As a public service broadcaster, the BBC is funded by the public and is therefore required to provide impartial and high-quality programming that serves the public interest. This means that the BBC has a responsibility to create programming that is diverse and informative, and that reflects the needs and interests of its audience.

The BBC's broadcasting is required to be impartial, which means that it must provide balanced coverage of news and current affairs, and present a range of viewpoints without bias. This is reflected in the BBC's editorial guidelines, which require impartiality, accuracy, and fairness in all programming.

In addition, the BBC's programming must be educational, informative, and entertaining. It must also provide content that is suitable for a range of audiences, including children, and reflect the diversity of the UK's population.

Overall, the BBC's public service broadcasting mandate requires it to provide a range of programming that meets the needs and interests of the public, and to do so in an impartial and responsible manner

BBC as a public service broadcaster is not solely driven by commercial interests, but rather by a responsibility to meet the needs and interests of all people.

The BBC's public service broadcasting mandate reflects a commitment to serving the needs and interests of the public.

BBC stands for British Broadcasting Corporation.

It serves the public interest by providing content that informs, educates, and entertains.

We have,

BBC as a public service broadcaster,

This means BBC is not solely driven by commercial interests, but rather by a responsibility to meet the needs and interests of all audiences, regardless of age, gender, race, religion, or political affiliation.

The BBC's public service broadcasting mandate reflects a commitment to serving the needs and interests of the public, and its broadcasting reflects this through a diverse range of high-quality content, impartial and accurate news coverage, and a funding and governance structure that ensures its independence and accessibility.

Thus,

The BBC's broadcasting reflects the mandate through a commitment to producing a diverse range of high-quality content that reflects the diversity of the UK and the world.

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Answer:

1.4650  (the first option in the list of possible answers)

Step-by-step explanation:

Start by isolating the exponential expression on one side of the equal sign, thus subtracting 2 from both sides:

\(2+3^x=7\\3^x=7-2\\3^x=5\)

Now, in order to solve for "x", we need to lower the exponent, and for that purpose we use logarithm base "3":

\(3^x=5\\x=log_3(5)\)

In order to find this logarithm, we use the change of base formula:

\(log_3(5)=\frac{log(5)}{log(3)} =1.46497...\)

which rounded to four decimals gives: 1.4650

The first three terms of the sequence are -11, -21 and -31

From the question, we have the following sequence that can be used in our computation:

Sequence = -10n - 1

Also, we are to start from

n = 1

Using the above as a guide,

So, we have the following representation

First term = -10 * 1 - 1

First term = -11

Also, we have

Second term = -10 * 2 - 1

Second term = -21

Lastly , we have

Third term = -10 * 3 - 1

Third term = -31

Hence, the terms are -11, -21 and -31

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Answer:

B, No solution

Step-by-step explanation:

If two lines are graphed, the point they intersect is the solution. However, if the slope is the same, they will never intersect

In the first and second equation, the slopes are both 3 so they will never intersect.

The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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Answer:

Conceptual spaces

Step-by-step explanation:

Spaces that may be defined by rows of columns, rows of trees, variations in the ground plane (floor) levels and textures, variations in ceiling heights, etc. are called  Conceptual Spaces.

A conceptual space is formed from geometric representations based on a number of qualitative dimensions. The theory will emphasize the constructive aspect of cognitive science.

The given situation represents Conceptual spaces.

It refers to the spaces where the rows of columns, rows of trees, variations in the levels and textures of the ground plane should be treated as the Conceptual Spaces. It is created from the representation of the geometric situation that depend upon the number of qualitative dimensions.

Therefore, we can say that it should be the Conceptual spaces.

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The point that is a solution for the given system of inequalities is the second option, the point is (1, 5)

We want to see which of the given points is a solution of the system of inequalites.

A point is a solution of the system if it is a solution of both of the inqeualities.

Here any point on the blue region will be a solution, then we can see that the point (1, 5) is in the blue region, so it is a solution.

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Answer:

I am very sorry to say but I can't help you with these

Answer:

d. 50°

Using Sine rule:

\(\sf \dfrac{sin(A)}{a} = \dfrac{sin(B)}{b}\)

Insert the values:

\(\rightarrow \sf \dfrac{sin(36)}{11.9} = \dfrac{sin(D)}{15.6}\)

\(\rightarrow \sf sin(D) = \dfrac{15.6 \ sin(36)}{11.9}\)

\(\rightarrow \sf sin(D) = 0.770542\)

\(\rightarrow \sf D = sin^{-1}(0.770542) = 50.4 \quad \approx \quad 50^{\circ \:}\)

The approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

To solve the equation 1/x-1 = |x-2| using three iterations of successive approximation, we will start with an initial guess and refine it using an iterative process.

Given that the equation involves absolute value, we will consider two cases:

Case 1: x - 2 ≥ 0

In this case, |x-2| simplifies to x-2, and the equation becomes 1/(x-1) = x-2.

Case 2: x - 2 < 0

In this case, |x-2| simplifies to -(x-2), and the equation becomes 1/(x-1) = -(x-2).

Now, let's perform the successive approximation:

Iteration 1:

Let's start with an initial guess, x = 2.

Case 1: When x - 2 ≥ 0,

1/(2-1) = 2-2,

1/1 = 0,

which is not true.

Case 2: When x - 2 < 0,

1/(2-1) = -(2-2),

1/1 = 0,

which is not true.

Since our initial guess did not satisfy the equation in either case, we need to choose a different initial guess.

Iteration 2:

Let's try x = 3.

Case 1: When x - 2 ≥ 0,

1/(3-1) = 3-2,

1/2 = 1,

which is not true.

Case 2: When x - 2 < 0,

1/(3-1) = -(3-2),

1/2 = -1,

which is not true.

Again, our guess did not satisfy the equation in either case.

Iteration 3:

Let's try x = 2.5.

Case 1: When x - 2 ≥ 0,

1/(2.5-1) = 2.5-2,

1/1.5 = 0.5,

which is true.

Case 2: When x - 2 < 0,

1/(2.5-1) = -(2.5-2),

1/1.5 = -0.5,

which is not true.

Our guess of x = 2.5 satisfies the equation in Case 1.

Therefore, the approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

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Answer:

4

Step-by-step explanation:

This is wanting you to put a numerator that will make this fraction bigger then 2/4.

2/4 is greater then 1/6, so that won't work

2/4 is greater then 2/6, so that won't work either

2/4 is equal to 3/6 because they reduce to 1/2, so it won't work

2/4 is less then 4/6, this will work

any number bigger then 3 can be put in the ? spot

Answer:

no

Step-by-step explanation:

\( \large \mathfrak{Solution : }\)

By Applying Pythagoras theorem :

therfore, the value of x = 6 units