(x - 5)2 = 25
Solution steps:
Add 5 to both sides
Multiply both sides by 5
Square both sides
Take the square root of both sides

Using fraction formula ,

The flour used by ramil and Carly for making bread is 33/40lb

Fraction: fraction is a number represented as a quotient, in which a numerator is divided by a denominator.

We have given that,

Ramil and Carly used 1/2 lb flour to make the bread.

They used 1/8lb less flour to make bread than to make cookies.

So, they used flour to make the cookies = 1/2+1/8

= 5/8lb

Therefore they used 5/8lb flour to make the cookies.

they used 1/5 lb more breads to make cookies than to make brownies. Mathematically, they used cookies for making the brownies is

= 1/5 + 5/8

=(8 + 25)/40 = 33/40lb

Therefore , they used 33/40lb flour to make the brownies.

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Complete question:

Ramil amd carly decided to make more baked goods for the bake sale. They used 1/8 lb less flour to make bread than to make cookies. She used 1/5 lb more to make cookies than to make brownies. If she used 1/2 lb of flour to make the bread, how much flour did she use to make the brownies

Answer:

Step-by-step explanation:

According to graph we observe:

This gives us the function:

The matching answer choice is D

Find x intercepts

So

Now

Put values

Based on the given options, the correct answer would be:

d. This is a good model because the residual plot is not an obvious pattern and does not become thicker toward one of the ends.

When analyzing a residual plot, it is generally desirable to see a random distribution of residuals around the horizontal zero line, without any noticeable patterns or trends. This indicates that the model's predictions are unbiased and that it captures the relationship between the variables adequately.

If the residual plot shows an obvious pattern or a systematic increase or decrease in the residuals as the predicted values change, it suggests that the model may not be capturing all the relevant information and there may be some underlying relationship or variable that is missing from the model. This would indicate that the model is not a good fit for the data.

However, if the residual plot does not exhibit an obvious pattern and the residuals are randomly distributed around zero without becoming thicker toward one end, it suggests that the model's predictions are not systematically biased and that it is capturing the relationship between the variables reasonably well. In this case, the model is considered a good fit for the data.

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Answer:

8d\(\sqrt{e}\)

Step-by-step explanation:

using the rule of radicals

\(\sqrt{ab}\)  = \(\sqrt{a}\) × \(\sqrt{b}\)

given

\(\sqrt{25d^2e}\) - \(\sqrt{d^2e}\) + 2\(\sqrt{4d^2e}\)

evaluating each term separately

\(\sqrt{25d^2e}\)

= \(\sqrt{25}\) × \(\sqrt{d^2}\) × \(\sqrt{e}\)

= 5 × d × \(\sqrt{e}\)

= 5d\(\sqrt{e}\)

-------------------

\(\sqrt{d^2e}\)

= \(\sqrt{d^2}\) × \(\sqrt{e}\)

= d × \(\sqrt{e}\)

= d\(\sqrt{e}\)

-------------------

\(\sqrt{4d^2e}\)

= \(\sqrt{4}\) × \(\sqrt{d^2}\) × \(\sqrt{e}\)

= 2 × d × \(\sqrt{e}\)

= 2d\(\sqrt{e}\)

-----------------------

then combining them gives

5d\(\sqrt{e}\) - d\(\sqrt{e}\) + 2(2d\(\sqrt{e}\))

= 4d\(\sqrt{e}\) + 4d\(\sqrt{e}\)

= 8d\(\sqrt{e}\)

In a Quadratic equation 4x² - 13x + k = 0 , one root of this equation is 12 times more than the another root. Find the value of k.

One root of quadratic equation is 12 times more than the another root.

Let , the one root of the quadratic equation is m and the another is n then according to the Question ,

Given quadratic equation is 4x² - 13x + k = 0

\(\begin{gathered} \star \sf \: a = 4 \\ \\ \star \sf \: b = - 13 \\ \\ \star \sf \: c = k\end{gathered}\)

\(\sf \: sum \: of \: roots = - \dfrac{b}{a}\)

So,

\(\begin{gathered} \star \sf \: m + n = - \frac{( - 13)}{4} \\ \\ \sf \: substituting \: the \: value \: of \: n \: from \: equation \: (i) \\ \\ \mapsto \sf \: m + 12m = \frac{13}{4} \\ \\ \mapsto \sf \: 13m = \frac{13}{4} \\ \\ \mapsto \sf m = \frac{13}{4 \times 13} \\ \\ \mapsto \boxed{ \sf m = \frac{1}{4} }\end{gathered}\)

\(\begin{gathered} \sf \star \: n = 12m \\ \\ \mapsto \sf \: n = 12 \times \frac{1}{4} \\ \\ \mapsto \boxed{\sf n = 3}\end{gathered}\)

Now, we know that :-

\(\sf \: product \: of \: roots = \dfrac{c}{a}\)

So,

\(\begin{gathered} \star \sf \: m \times n = \frac{k}{4} \\ \\ \mapsto \sf \frac{1}{4} \times 3 = \frac{k}{4} \\ \\ \mapsto \sf k = \frac{1}{4} \times 4 \times 3 \\ \\ \mapsto \boxed{\sf k = 3 }\end{gathered}\)

John purchased 24 chocolates for Rs.96. How many chocolates can be purchased for Rs.72?

John purchased 24 chocolates = Rs.96.

Chocolates can be purchased for Rs.72 = x

24:96 = x:72

Means = Extreams

96 × x = 24 × 72

( 12 × 2 = 24, 12 × 8 = 96 )

(8 × 1 = 8, 8 × 9 = 72)

Therefore, 18 chocolates can be purchased for Rs.72

Check the picture below.

Answer:

Step-by-step explanation:

\(Area \ of \ triangle = \dfrac{1}{2}bh\\\)

                            \(=\dfrac{1}{2}*8*3\\\\\\= 4*3\\\\\\= 12 \ ft^{2}\)

Area of rectangle = length *width

                             = 8 * 5

                              = 40 ft²

Area of the figure = Area of rectangle + 2* area of the triangle

                         = 40 + 2*12 = 40 + 24

                         = 64 ft²

To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.

The total charge can be obtained by integrating the charge density over the volume of the cylinder.

The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.

The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²

Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز

Applying this operator to the potential function V, we find:

∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز

To find the charge density, we substitute this expression into ρ = -∇²V:

ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز

To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:

Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV

The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.

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To solve this problem, we can use the Chinese Remainder Theorem. We need to find the remainder when 2202 202 is divided by both 2101 and 251.

First, note that 2101 and 251 are relatively prime. Therefore, by the Chinese Remainder Theorem, there exists a unique remainder between 0 and 2101 * 251 - 1 (inclusive) that satisfies the two conditions.

To find this remainder, we can use the remainders when 2202 202 is divided by 2101 and 251.

Note that 2202 is congruent to 101 (mod 2101) and 0 (mod 251). Therefore, we can use the Chinese Remainder Theorem to find that the remainder when 2202 202 is divided by 2101 * 251 is congruent to:

101 * (251^2) * (251^(-1)) + 0 * (2101^2) * (2101^(-1)) (mod 2101 * 251)

Using the fact that 251^(-1) is congruent to 201 (mod 2101) and 2101^(-1) is congruent to 1922 (mod 251), we can simplify this expression to:

101 * (251^2) * (201) + 0 * (2101^2) * (1922) (mod 2101 * 251)

Simplifying further, we get:

101 * 251 * 201 (mod 2101 * 251)

This is congruent to 101 * 201 (mod 251), which is congruent to 101 (mod 251).

Therefore, the remainder when 2202 202 is divided by 2101 251 1 is 101, which is option (b).

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The surface area of the triangular prism is

To find the surface area of a prism, we use the formula SA=2B+ph, where SA stands for surface area, B stands for the area of the base of the prism, p stands for the perimeter of the base, and h stands for height of the prism. SA=2(lw)+2(l+w)h.

Area of the base 1 = ½bh

= ½ × 6× 4

= 12cm²

Area of base 2 = l×b

= 6×3 = 18 cm²

area of the front = 10×6 = 60cm²

area of the back = 60cm²

area of left = 3×10 = 30cm²

area of the right = 30cm²

total surface area = 60+60+30+30+18+12 = 210cm²

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Answer:  The middle school has 652 students.

Step-by-step explanation:  Divide the number of student in the high school by 4.5

\(\frac{2934}{4.5}\) = 652

56.6 years  is the mean of the modes of the given set of numbers.

What are the mean, median, and example?

The most frequent number, or the one that happens the most frequently, is known as the mode.

                     Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.

The mean is calculated by adding together all the values

                 =  (54+54+54+55+56+57+57+58+58+60+60

                  = 623

                  =  56.6 years.

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Answer: 25

Step-by-step explanation:

28+97=125

125/4= 31.25

25/4=6.25

31.25-6.25=25

The particles contain 5.199 mol. The result is obtained by dividing the number of particles by the Avogadro number.

Avogadro number is the number of particles contained in 1 mol of any substance. It is 6.022 × 10²³ particles/mol.

The number of particles of a substance can be expressed as

N = n × NA

Where

The number of particles of a substance is 3.131 × 10²⁴ particles. Find the number of moles!

With the Avogadro number, the number of moles would be

N = n × NA

3.131 × 10²⁴ = n × 6.022 × 10²³

n = (3.131 × 10²⁴) / (6.022 × 10²³)

n = 0.5199 × 10¹

n = 5.199 mol

Hence, there are 5.199 mol contained in the particles.

The answer is A.

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If two lines intersect, then the vertical angles formed must be both equal in measure.

The  intersection of a line can be described as when two or more lines cross each other in a plane as a result of this they are been referred to as   intersecting lines.

Therefore, intersecting lines share a common point, hence , If two lines intersect, then the vertical angles formed must be both equal in measure.

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Triangle ABC, we are given the measure of angle A as 30 degrees, the length of side AC as 10.7 cm, and the length of side BC as 6.5 cm.

To work out the value of sin(ABC), we can use the trigonometric ratio of the sine function.

The sine function relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle.

In the given information, we don't have a right triangle or the length of the side opposite angle ABC.

Without this information, it is not possible to calculate the value of sin(ABC) accurately.

If you have any other information regarding the triangle, such as the length of side AB or the measure of angle B or C, please provide it so that I can assist you further in calculating sin(ABC).

We may utilise the sine function's trigonometric ratio to get the value of sin(ABC).

The sine function connects the ratio of the hypotenuse length of a right triangle to the length of the side opposite an angle.

A right triangle or the length of the side opposite angle ABC are absent from the provided information.

The value of sin(ABC) cannot be reliably calculated without these information.

Please share any more information you may have about the triangle, such as the length of side AB or the size of angles B or C, so I can help you with the calculation of sin(ABC).

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Answer:

1/6

Step-by-step explanation:

P(H and 3 or 6):  1/2 x 2/6 = 2/12 or 1/6

Yes, I can find the slope of a line and type the correct code. The SLOPE function will return the slope of the linear regression line that best fits the data.

The slope of a line is the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. The formula for finding the slope of a line is (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.

The slope is a measure of how steep the line is. It can be positive, negative, zero, or undefined. The code for finding the slope of a line in ALL CAPS with no spaces is SLOPE.

To use this function in Excel, you need to provide the range of x-values and the range of y-values.

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Answer:

12-2n

Step-by-step explanation:

Difference means to subtract

Times means to multiply

A number would be the variable

The expressions also represent Lindsay's video game score is 500 + (-280). The correct option is D.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Lindsay is playing a video game. She begins with an initial score of 500 points but loses 280 points throughout the game.

The expression will be written as below:-

E = 500 + (-280)

Therefore, the expressions also represent Lindsay's video game score is 500 + (-280). The correct option is D.

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K-Means uses Euclidean distance. The output includes average and maximum distances, separation, and convergence after iterations related to the number of starting seeds.

In the output of a K-Means cluster analysis, "Ave Distance" refers to the average distance between the data points and their assigned cluster centroids.

"Max Distance" represents the maximum distance between any data point and its assigned centroid. "Separation" indicates the distance between the centroids of different clusters, reflecting how well-separated the clusters are.

Convergence in K-Means clustering refers to the point when the algorithm reaches stability and the cluster assignments no longer change significantly.

When the video mentions convergence after 4 iterations, it means that after four rounds of updating cluster assignments and re-computing centroids, the algorithm has achieved a stable result.

The "Number of starting seeds" option determines how many initial random seeds are used for the algorithm, and it can affect the number of iterations needed for convergence. Increasing the number of starting seeds may result in faster convergence as it explores different initial configurations.

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Daniella and her friends collected a total of 44 shells.

What is linear equation ?

Linear equation can be defined as equation in which highest degree is one.

Given ,

Daniella and her 10 friends are collecting shells on the beach to make crafts.

After they have collected the shells and put them in a pile, they split them evenly among the group. Each person gets 4 shells.

The correct equation for this problem is:

s = 11 x 4

where s is the total number of shells collected.

Simplifying this equation, we have:

s = 44

Therefore, they collected a total of 44 shells.

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Using it's concept, the domain of the square root function shown in the graph is:

\(x \geq 0\)

The domain of a function is the set that contains all possible input values for the function. In a graph, the domain is the set that contains the values of x.

Researching the problem on the internet, the graph is of the square root function, defined for \(x \geq 0\), which is the domain of the function.

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Answer: No entiendo lo que está tratando de preguntar

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

135 divided by 5 is 27

Answer:

1000

Step-by-step explanation:

9 is close to 10

82.9 is close to 100

10*100=1000

Answer: (Evaluate) 741.6   (Estimate is down there in the picture below)

Step-by-step explanation: Have a brilliant day- Lily ^_^

Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110