if maddison want 300 bottles of water, how many cases should she order?

Answer:15

The length of the page inside the margins is 8×(3/4) inches.

When we add two or more integers then we have to follow some set command of rule:

When adding two positive integers then we simply add them. Example: +2+3=+5

When we have two negative integers then also we add them but with a negative sign. Example:  -3-4=-7.

When we have two integers with opposite sign then we simply subtract the two number and put the sign of the integer with bigger magnitude/value. Example: +3-2=+1 and +2-5=-3.

When we are solving a statement based problem then we write down the given information at a place. Now we rearrange and form a mathematical equation using the given information and appropriate mathematical operations.

Now for the given Question:

Total Length of the year book page = 10"

Top margin on page= \(\frac{1}{2}\)"

Bottom margin of page=\(\frac{3}{4}\)"

Length of page inside margins= Total Length of page - top margin of page - bottom margin of page.

Let Length of page inside margins = x

x= 10 - \(\frac{1}{2}\) - \(\frac{3}{4}\)

For solving the above fraction we need common denominator.

x= \(\frac{40}{4}\)-\(\frac{2}{4}\)-\(\frac{3}{4}\)

x= \(\frac{40-2-3}{4}\)

x= \(\frac{40-5}{4}\)

x= \(\frac{35}{4}\)

x=8\(\frac{3}{4}\)

Hence, the length of page inside the margins is 8\(\frac{3}{4}\) inches

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The dimensions of the tank with minimum  weight  is height= 7 and width and length= 14.

The minimum surface area implies that the tank has minimum weight.

Given that the base is square, its width is equal to its length.

Let x= the base width and length of the tank.

Let h = the height .

We are given the volume of the tank that is 1372 ft^3. The formula is given by

V = hx^2

We're given that V = 1,372 ft^3, so

hx^2 = 1,372

h = 1,372 / x^2  ----------(equation 1)

Surface area can be calculated using the below given formula.

A = x^2 + 4xh

Substituting the value of euation 1, h in A, we get,

A = x^2 + 4x(1,372 / x^2)

= x^2 + 5,488 / x

To get the minimum surface area to get the minimum weight, we need to differentiate  A with respect to x and equate it to zero.

dA/dx = 2x - 5,488 / x^2 = 0

2x^3 - 5,488 = 0

x =\(\sqrt[3]{\frac{5,488}{2} }\)

x= 14

We got the value of x, we substitute the value in equation 1, we get the value of h.

h = 1,372 / 14^2

h= 7

So, the dimensions of the tank with minimum weight are width and length is 14 and height is 7.

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Answer:

You are buying 1/4 -pound containers of fruit at the store. How many containers do you need to buy to have 4 1/2 pounds of fruit?

Step-by-step explanation:

Solving the equation:

÷  = 18

Looking at the choices, we can see that the 3rd answer best represents the equation. This is because if we take the question and turn it into an expression, it will look like this:

(total amount of weight) ÷ (weight each container can contain) = (number of containers needed to contain all of the weight)

pounds ÷  pound = 18 containers

Therefore, the last one is the correct answer.

Answer: \(67.68^{\circ}\)

Step-by-step explanation:

Given

\(\angle W=90^{\circ}\)

\(VW=32\ ft\)

\(WU=78\ ft\)

from the figure, we can write

\(\Rightarrow \tan v=\dfrac{UW}{VW}\\\\\Rightarrow \tan v=\dfrac{78}{32}\\\\\Rightarrow \tan v=2.437\\\Rightarrow v=\tan^-1(2.437)\\\Rightarrow v=67.68^{\circ}\)

After reducing all the book prices by 50%, the new median price is determined to be $7.70 (B)

To find the new median price after reducing all the book prices by 50%, we first need to calculate the reduced prices. By reducing each given price by 50%, we get $6.375, $7.40, $9.995, $4.975, $8.00, and $8.975 respectively.

Next, we arrange these reduced prices in ascending order: $4.975, $6.375, $7.40, $8.00, $8.975, and $9.995. The median is the middle value in this ordered list. Since there are six prices, the middle two values are $7.40 and $8.00.

To find the median, we take the average of these two values, which gives us ($7.40 + $8.00) / 2 = $7.70.

Therefore, the new median price, after reducing all the book prices by 50%, is $7.70 (B). This means that the median price of the books, after the reduction, is $7.70.

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Answer:

C!

Step-by-step explanation:

The constant term is 8, which means that the y-intercept of the graph of g is (0, 8).

In mathematics, a function is a rule that assigns a unique output value for every input value in a set. It is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output. Functions are widely used in various fields of mathematics, science, engineering, and technology to model and analyze real-world situations, to describe how quantities depend on one another, and to solve problems.

Here,

If we set k=4, the function g(x) becomes:

g(x) = k(x+2) = 4(x+2)

The value of k affects the slope of the graph of g compared to the graph of f. In this case, since k=4, the slope of the graph of g is 4 times the slope of the graph of f.

The slope of the graph of f is 1, since the coefficient of x is 1. Therefore, the slope of the graph of g is:

4 * 1 = 4

This means that the graph of g is steeper than the graph of f.

The y-intercept of the graph of f is 2, since the constant term is 2. Setting k=4 does not affect the y-intercept of the graph of g, since the constant term remains the same:

g(x) = 4(x+2) = 4x + 8

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Answer:

\(1\frac{5}{6}\)

Step-by-step explanation:

6/3 + (-1/6) = 2 + (-1/6) = 2 - 1/6 = \(1\frac{5}{6}\)

Answer:

If these are fractions the answer is 1 5/6

If they are not fractions the answer is 1.83

Answer: SOLN,

let,<FHC be x

<GHC+<FHC( sum of  angle of triangle=180 degree

 x+6m+55+8m+55=180

 x+ 14m+110=180

  x+14m=180-110

  x+14m=70

    x=70 divied by 14m  

     x=5m

therefore,the value of <FHC is 5m.      

I already answered this question to this student today. Student unresponsive.

To construct a 3×3 matrix, not in echelon form, whose columns span ℝ³, we can choose three linearly independent vectors as the columns of the matrix.

To demonstrate that the constructed matrix has the desired property of spanning ℝ³, we can construct a specific example. Let's consider the matrix A:

A = [[1, 0, 0],

[0, 1, 0],

[0, 0, 1]]

In this case, A is a 3×3 matrix with three columns [1, 0, 0], [0, 1, 0], and [0, 0, 1]. Each column represents a standard basis vector in ℝ³.

To show that the columns of A span ℝ³, we need to demonstrate that any vector in ℝ³ can be expressed as a linear combination of the columns of A.

Let's consider an arbitrary vector x = [x₁, x₂, x₃]ᵀ in ℝ³. We can express x as a linear combination of the columns of A:

x = x₁[1, 0, 0] + x₂[0, 1, 0] + x₃[0, 0, 1]

Simplifying this expression, we get:

x = [x₁, x₂, x₃]ᵀ

Thus, we have shown that any vector x in ℝ³ can be expressed as a linear combination of the columns of the matrix A. Therefore, the columns of A span ℝ³.

Note: It is important to emphasize that there are many possible matrices that can be constructed to satisfy the given condition. The example provided here is just one of the many valid choices

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Answer:

I JUST LOVE GETTING POINTS

Step-by-step explanation:

Answer:

x + 3

Step-by-step explanation:

x - 117 + 120

= x + ( 120 - 117 )

= x + 3

The equation for getting the number of digits in a square root is (n + 1) / 2.

Given,

The number of digits in perfect square of a number = n

n is an odd number.

We have to find the number of digits in it’s square root.

Let’s check ,

If n is taken as 3, the smallest odd number,

Take a perfect square of 3 digits.

Let’s take 100.

Square root of 100 is 10 and has 2 digits.

That is, (3 + 1) / 2 = 4/2 = 2

Now, perfect square with 5 digits.

10000 and its square root is 100 which has 3 digits.

Here, we can get as:

(5 + 1) / 2 = 6/2 = 3

So, in case of n, we can write it as:

(n + 1) / 2 = number of digits in square root

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There are two ways to approach this.

The first is to just check with equation works with both points by plugging in x=6 and seeing if you get y=3, from the point (6,3), and then repeating that process with (4,1).

Checking (6,3) on y = -1x+5:

    y = -1(6)+5 = -1     -> no good.

Checking (6,3) on y = x-3:

    y = 6-3 = 3           -> check

Checking (6,3) on y = x+5:

    y = 6+5 = 11          -> no good.

Checking (6,3) on y = -1x+3:

    y = -1(6)+3 = -3     -> no good.

So that shows only y = 1x - 3 works, but you should still double check it works for (4,1).

The second option is to construct the equation, which is good to know, in case you don't have a list of equations to check.

For this, you need to calculate the slope, using \(m=\dfrac{y_2-y_1}{x_2-x_1}\), and then use that slope to find the y-intercept, (0,b).

Step 1: slope

    \(m=\dfrac{1-3}{4-6} = \dfrac{-2}{-2} = 1\)

Step 2: find y-intercept

Start by setting up the slope-intercept form with the slope we just found and then plug in one of the points:

    \(y=1x+b\), which becomes \(3 = 1(6)+b\) using (6,3).

   Solving this for b, you find b=-3.

Step 3: put it all together:

   m = 1 and b = -1 gives you

   y = 1x -3

Both ways work and are valid.  Context will indicate which one is best.

Answer:

No

Step-by-step explanation:

No, (-5, -4) is not a solution to the system of equations. In order for a point to be a solution to a system of equations, the lines have to intersect at that point in a graph. Looking at the given graph, the lines do not intersect at (-5, -4), but at (-4, -5) instead. Thus, (-5, -4) is not a solution.  

The sequence is defined by adding 2 to the previous term. We can find the first six partial sums by adding the terms of the sequence together up to a certain point.

Given that the first term is 4, we can start calculating the partial sums:

S1 = 4

S2 = 4 + 6 = 10

S3 = 4 + 6 + 8 = 18

S4 = 4 + 6 + 8 + 10 = 28

S5 = 4 + 6 + 8 + 10 + 12 = 40

S6 = 4 + 6 + 8 + 10 + 12 + 14 = 54

So the first six partial sums are:

S1 = 4

S2 = 10

S3 = 18

S4 = 28

S5 = 40

S6 = 54

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Answer:

Including the princpal and two counselors, only 40 students will be able to attend each meeting.

If the principal and two counselors dont attend, then 41 students can attend with one of their parents.

The correct response is c. 8√2 . The length of the diagonal if the side of the square is 8√2.

A polygon's opposed vertices (or corners) are connected by a line segment known as a diagonal. Or to put it another way, a diagonal is a line segment joining two polygonal vertices that are not neighbouring. With the exception of the figure's edges, it connects a polygon's vertices. For instance, a diagonal line or movement runs slopingly from one corner of a square to the other corner. a type of straight line called a diagonal. Straight up, down, or across are not possible on a diagonal line. It is a line that joins the corners of a form at two points. Instead of running straight up or across, a diagonal is formed by a straight line that is positioned at an angle.

Right isosceles triangles with both legs 8 feet long would make up each half.

The hypotenuse that both of those triangles would share is the diagonal.

We must determine the hypotenuse's length, d, in feet.

According to the Pythagorean theorem, the lengths of the legs' squares sum up to the length of the hypotenuse's square, so

\(8^{2} +8^{2} =8\sqrt{2}\)

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A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is 8ft? Leave your answer in simplest radical form.

a. 16√8

b. 2√8

c. 8√2

d. 4

The popcorn box would hold 168.75 cubic inches of popcorn when it is full. Rounded to the nearest tenth, the answer is 168.8 cubic inches.

To find the volume of the popcorn box, we need to multiply its length, width, and height. However, we need to make sure that all the dimensions are in the same units before we multiply them.

First, let's convert the mixed numbers to improper fractions:

3 3/4 = 15/4

7 1/2 = 15/2

Now, we have the dimensions in the same units (inches):

Length = 15/4 in

Width = 3 in

Height = 15/2 in

To find the volume, we multiply the three dimensions:

Volume = Length x Width x Height

Volume = (15/4) x 3 x (15/2)

Volume = 168.75 cubic inches

Therefore, the popcorn box would hold 168.75 cubic inches of popcorn when it is full. Rounded to the nearest tenth, the answer is 168.8 cubic inches.

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Answer:

8.26 repeating 6/ square root 11

Step-by-step explanation:

Examples of Irrational Numbers

Pi, which begins with 3.14, is one of the most common irrational numbers. ...

e, also known as Euler's number, is another common irrational number. ...

The Square Root of 2, written as √2, is also an irrational number.

Answer:

C

Step-by-step explanation:

edge 2020 took the quiz

Answer:

y = 1/2 - 3

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Pick 2 points (0, -3) (6, 0)

We see the y increase by 3 and the x increase by 6, so the slope is

m = 3/6 = 1/2

Y-intercept is located at (0, -3)

So, the equation is y = 1/2 - 3

When peers at work offer suggestions to correct a weakness, it is important for the person to respond in a thoughtful and constructive manner.

Here are some guidelines for effectively addressing such suggestions:

Listen and be open-minded: Actively listen to the suggestions without becoming defensive or dismissive. Remember that your peers are offering their perspectives to help you improve. Keep an open mind and be willing to consider their viewpoints.

Express gratitude: Appreciate the effort and willingness of your peers to provide feedback. Thank them for their suggestions and acknowledge their input. Demonstrating gratitude fosters a positive and collaborative work environment.

Seek clarification, if needed: If you need further clarification on any of the suggestions, ask your peers for more information. This shows your commitment to understanding their feedback and ensures you can address the weakness effectively.

Reflect on the feedback: Take some time to reflect on the suggestions offered. Evaluate their validity and consider whether they align with your own self-assessment. Honest self-reflection is crucial in recognizing and addressing weaknesses.

Develop an action plan: Once you have understood the suggestions and reflected on them, create an action plan to address the weakness. Break down the steps you need to take to improve and set realistic goals for yourself. This proactive approach demonstrates your commitment to personal growth and professional development.

Seek support if necessary: If you require additional resources or assistance to address the weakness, don't hesitate to ask for help. Reach out to mentors, supervisors, or relevant professionals who can provide guidance or training. Collaborating with others can accelerate your progress in overcoming the weakness.

Communicate progress: Keep your peers informed about the steps you are taking to improve. Sharing your progress demonstrates your commitment to growth and allows them to see your efforts. It also encourages ongoing support and accountability from your colleagues.

Show resilience: Addressing weaknesses takes time and effort. Be prepared for setbacks and challenges along the way. Stay resilient and maintain a positive mindset, focusing on continuous improvement rather than being discouraged by temporary obstacles.

Remember, accepting and addressing weaknesses is a part of personal and professional growth. Embrace the feedback from your peers as an opportunity to enhance your skills and become a stronger professional.

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{1, 4, 5, 6, 7, 8, 9, 10} correctly describes the complement of event A

The complement of an event A is the set of all outcomes in the sample space S that are not in A.

In this case, we have:

Event A: P(A) = {2, 3}

Sample space: S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

The complement of A, denoted by A', is the set of all outcomes in S that are not in A. Therefore, we have:

A' = {1, 4, 5, 6, 7, 8, 9, 10}

Hence, {1, 4, 5, 6, 7, 8, 9, 10} correctly describes the complement of event A: P(A) = {2, 3}, S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10)

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Answer:

The third answer is correct

Step-by-step explanation:

Given:

A net of a rectangular prism

l (length) = 11,75 cm

w (width) = 5,75 cm

h (height) = 4 cm

Find: A (surface area) - ?

The surface area is equal to the sum of the areas of all the sides

There are:

2 sides with dimensions of 11,75 cm and 4 cm

2 sides with dimensions of 5,75 cm and 11,75 cm

2 sides with dimensions of 4 cm and 5,75 cm

\(a(surface) = 4 \times 11.75 \times 2 + 5.75 \times 11.75 \times 2 + 4 \times 5.75 \times 2 = 275.125 = 275 \frac{1}{8} \: {cm}^{2} \)

Answer:

question ??????????????

a. The probability that X is greater than 1/2 is 3/4.

b. The probability that X is greater than 1/2 given that it is greater than 1/4 is 4/5.

a. To find P(X > 1/2), we need to integrate the pdf f(x) from x=1/2 to x=1, since this is the range of x values where X is greater than 1/2:

P(X > 1/2) = ∫(1/2 to 1) f(x) dx = ∫(1/2 to 1) 2x dx

Evaluating the integral:

P(X > 1/2) = \([x^2]_{(1/2 to 1)} = 1 - (1/2)^2\) = 3/4

Therefore, the probability that X is greater than 1/2 is 3/4.

b. To find P(X > 1/2 X > 1/4), we need to use the conditional probability formula:

P(X > 1/2 X > 1/4) = P(X > 1/2 and X > 1/4) / P(X > 1/4)

We can simplify the numerator as follows:

P(X > 1/2 and X > 1/4) = P(X > 1/2) = 3/4

We already calculated P(X > 1/2) in part (a). To find the denominator, we integrate the pdf f(x) from x=1/4 to x=1:

P(X > 1/4) = ∫(1/4 to 1) f(x) dx = ∫(1/4 to 1) 2x dx

Evaluating the integral:

P(X > 1/4) = \([x^2]_{(1/4 to 1) }\)= 1 - (1/4)^2 = 15/16

Plugging these values into the conditional probability formula:

P(X > 1/2 X > 1/4) = (3/4) / (15/16) = 4/5

Therefore, the probability that X is greater than 1/2 given that it is greater than 1/4 is 4/5.

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a. The probability that X is greater than 1/2 is 3/4.

b. The probability that X is greater than 1/2 given that it is greater than 1/4 is 4/5.

a. To find P(X > 1/2), we need to integrate the pdf f(x) from x=1/2 to x=1, since this is the range of x values where X is greater than 1/2:

P(X > 1/2) = ∫(1/2 to 1) f(x) dx = ∫(1/2 to 1) 2x dx

Evaluating the integral:

P(X > 1/2) = \([x^2]_{(1/2 to 1)} = 1 - (1/2)^2\) = 3/4

Therefore, the probability that X is greater than 1/2 is 3/4.

b. To find P(X > 1/2 X > 1/4), we need to use the conditional probability formula:

P(X > 1/2 X > 1/4) = P(X > 1/2 and X > 1/4) / P(X > 1/4)

We can simplify the numerator as follows:

P(X > 1/2 and X > 1/4) = P(X > 1/2) = 3/4

We already calculated P(X > 1/2) in part (a). To find the denominator, we integrate the pdf f(x) from x=1/4 to x=1:

P(X > 1/4) = ∫(1/4 to 1) f(x) dx = ∫(1/4 to 1) 2x dx

Evaluating the integral:

P(X > 1/4) = \([x^2]_{(1/4 to 1) }\)= 1 - (1/4)^2 = 15/16

Plugging these values into the conditional probability formula:

P(X > 1/2 X > 1/4) = (3/4) / (15/16) = 4/5

Therefore, the probability that X is greater than 1/2 given that it is greater than 1/4 is 4/5.

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