All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 10% of students brought their lunch. 31 students brought their lunch. How many students in total are in Ridgewood Junior High School?

Answer:

0

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

(a+c)^2 = t

(a+c) = sqrt t

c = sqrt(t) - a

We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:

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

So this locus is the single vertical line y = 1.

Answer:

y = 1.

Step-by-step explanation:

We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:

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

So this locus is the single vertical line y = 1.

Answer:

Step-by-step explanation:

Construction: To copy angle CAB.

i. On angle CAB, with center A and any radius; draw an arc to intersect CA at E and AB at F.

ii. Place a divider at EF to copy the angle.

iii. Draw a separate straight line MN of approximate length to AB.

iv. Mark point P on MN. Place the divider with radius EF at P to mark Q.

v. Draw a line LM from M through Q.

vi. Therefore, angle CAB would be equal to angle LMN.

Answer: 10

Step-by-step explanation:

6-There is no standard piece of equipment for any particular job. Many different possibilities are available to perform a given task, option c.

7. Genetic algorithms and robability Matrixcan also be used as a technique for equipment selection, option c.

8- On contrary, if the equipment is to be used occasionally and short duration of time on the project, it proves to be economical Hire it, option c.

9- It is important to realize that as equipment ages through time and use, its operating costs Increases, option a.

6. The answer to question 6 is (c) standard. When it comes to selecting equipment for a particular job, there is no single "best" or "good" piece of equipment. Instead, there are many different options available that can be used to perform the task effectively. These different possibilities are considered as standard choices for the job, allowing flexibility and suitability based on specific requirements.

7. The answer to question 7 is (c) a and b. Genetic algorithms and probability matrix can both be used as techniques for equipment selection. Genetic algorithms involve using principles from evolutionary biology to optimize the selection process, while a probability matrix assesses the likelihood of equipment performance based on various factors. These methods help in making informed decisions when choosing the most suitable equipment.

8. The answer to question 8 is (c) Hire. When the equipment is only required occasionally and for a short duration of time on a project, it is more economical to hire the equipment instead of purchasing or selling it. By hiring the equipment, the project can save on long-term ownership costs and maintenance expenses.

9. The answer to question 9 is (a) Increases. As equipment ages through time and use, its operating costs typically increase. Older equipment may require more frequent repairs, consume more energy, or become less efficient. These factors contribute to higher operating costs over time. It is important to consider these factors when evaluating the overall cost-effectiveness of using older equipment versus investing in newer, more efficient alternatives.

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Quick sort will be guaranteed to run in O(n log n) time when the pivot element is chosen in a way that partitions the array into approximately equal halves.

Quick sort is a sorting algorithm that uses divide-and-conquer to sort an array or list of elements. The algorithm works by partitioning the array into two subarrays, one containing all elements smaller than a chosen pivot element, and the other containing all elements larger than the pivot.

The pivot element is then placed between the two subarrays and the process is repeated recursively on each subarray until the entire array is sorted.

Quick sort is generally considered to have an average case time complexity of O(n log n), which means that the algorithm will take proportional to n log n time to sort an array of n elements on average. However, in the worst case, the time complexity of quick sort can be O(n^2), which can occur when the pivot is consistently chosen as the smallest or largest element in the array, leading to an unbalanced partitioning of the array.

To guarantee that quick sort will run in O(n log n) time, it is important to choose a good pivot element that is representative of the entire array and leads to a balanced partitioning of the elements. This can be done by using a randomized pivot selection or by choosing a median-of-three pivot selection that takes the median of the first, middle, and last elements of the array as the pivot. Additionally, choosing a good partitioning scheme that minimizes the number of comparisons and swaps required can also improve the time complexity of the algorithm.

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Answer:

b=12.2-8

b=4.2

thus

4.2+8=12.2

Answer:  B=4.2

Step-by-step explanation:

b+8=12.2

Subtract 8 from both sides

b+8-8= 12.2 - 8

Simplify

b=4.2

The length of the missing leg of the right triangle is 8sqrt(5) inches. To find the length of the missing leg of the right triangle, we can use the Pythagorean theorem.

It states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. This is Pythagorean theorem

In this case, we know that one leg measures 8 inches, and the hypotenuse measures 12 inches. Let's call the missing leg x, then we have:

8^2 + x^2 = 12^2

Simplifying, we have:

64 + x^2 = 144

Subtracting 64 from both sides, we get:

x^2 = 80

Taking the square root of both sides, we get:

x = sqrt(80)

Simplifying, we get:

x = 8sqrt(5)

Therefore, the length of the missing leg of the right triangle is 8sqrt(5) inches.

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Answer:

when a = 6, substitute 6 in the equation for a:

7(a + 2) = 7(6)+ 14

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

When a = 6

7(a+2)

7(6+2)

7(8)

56

The value of f'(2) in decimal form with three significant digits after the decimal place is -1.14.

To find the derivative of the given function, we need to use the chain rule and the power rule of differentiation. Firstly, we can simplify the given function as:
²(20) = 2²² = 4¹¹
√₁ t⁴ = t²
Therefore, the given function can be written as:
f(t) = 4¹¹ × (t²)⁻²√₁
Now, using the power rule and the chain rule, we get:
f'(t) = -8 × t × (t²)⁻³√₁
f'(2) = -8 × 2 × (2²)⁻³√₁
f'(2) = -1.14 (rounded to three significant digits after the decimal place)
Therefore, the value of f'(2) in decimal form with three significant digits after the decimal place is -1.14.

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Answer:

See below

Step-by-step explanation:

FIRST convert gram to KG ( <== by dividing by 1000) ...

       THEN multiply by 9.81 m/s^2   to get Newtons

OR    for  1 gram = .001 kg = .00981 N

Answer:

Step-by-step explanation:

Converte 80% into a decimal (devide it by 100) = 0.8

Then multiply 0.8 by 1.60 = 1.28 (final result)

To find the derivative of the given function, we first rewrite and simplify it, then apply the rules of differentiation.

The given function is:

y = (3x^4 + 2x^3)^5 - (3x^2 - 2x + 4^4)^6

Now, we'll take the derivative with respect to x:

dy/dx = d/dx [(3x^4 + 2x^3)^5] - d/dx [(3x^2 - 2x + 4^4)^6]

We'll use the chain rule for both terms. For the first term:

(dy/dx)(3x^4 + 2x^3)^5 = 5(3x^4 + 2x^3)^4 * d/dx(3x^4 + 2x^3)

And for the second term:

(dy/dx)(3x^2 - 2x + 4^4)^6 = 6(3x^2 - 2x + 4^4)^5 * d/dx(3x^2 - 2x + 4^4)

Now we'll find the derivatives of the inner functions:

d/dx(3x^4 + 2x^3) = 12x^3 + 6x^2
d/dx(3x^2 - 2x + 4^4) = 6x - 2

Now, substitute these back into the chain rule expressions:

dy/dx = 5(3x^4 + 2x^3)^4 * (12x^3 + 6x^2) - 6(3x^2 - 2x + 4^4)^5 * (6x - 2)

This is the simplified derivative of the given function.

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Answer:

8/15

Step-by-step explanation:

8/15

hope this helped!!

The true statement is Statement 1: The width of the sidewalk is equal to one-third of its length.

The true statement can be found by examining the relationship between the length of the sidewalk (l) and its width, which is given as l ÷ 3.

Let's consider two possible statements:

Statement 1: The width of the sidewalk is equal to one-third of its length.

Statement 2: The width of the sidewalk is three times its length.

To determine which statement is true, we can substitute a numerical value for the length of the sidewalk (l) and compare the resulting width to the statement.

Let's assume the length of the sidewalk (l) is 9 units.

Statement 1: The width of the sidewalk is 9 ÷ 3 = 3 units.

Statement 2: The width of the sidewalk is 3 × 9 = 27 units.

Comparing the width obtained from the calculation (3 units) with Statement 1 (The width of the sidewalk is equal to one-third of its length), we find that they are equal.

It's important to note that this conclusion is based on the assumption that the relationship between the length and width provided in the question is accurate and consistent.

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the answer is supposed to be 132 at the most of a

for b it is 165

Answer:

a=132

b=165

Step-by-step explanation:

,

We know that 1 meter (m) is equal to 3.280839895 feet (ft), likewise we know that 4000 meter (m) is equal to 13123.35958004 feet (ft)

We know that meters is a bigger quantity

therefore we must first convert 1 meter (m) to feet (ft)

we know that 1 meter (m) is equal to 3.280839895 feet (ft)

therefore now when we know the value of 1 meter is equal to how much feet we can multiply the value of feet by 4000 meter,

that is,

4000m × 3.280839895ft = 13123.3595801ft

when multiplied by the value of 1 meter in feet we get 13123.3595801 feet

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Answer:

₹ 37500

Step-by-step explanation:

Let the price before VAT be ₹x.

\( \therefore \: x + 8 \% \: of \: x = 40500 \\ \therefore \: x +0.08x = 40500 \\ \therefore \: 1.08x = 40500 \\ \therefore \: x = \frac{40500}{1.08} \\ \huge \red{ \boxed{ \therefore \: x = Rs. \: 37,500}}\)

Hence the price before including VAT of air conditioner was ₹ 37,500.

The density of unknown liquid is 7.447 kg/m³

According to the question,

Density of a solid aluminum cylinder : d = 2700 kg/m³

Weight of cylinder in the air = 0.66N

Weight of cylinder when immersed in an unknown liquid = 0.26N

The volume of the cylinder : v = m /d

where , m is mass of cylinder and d is density

Mass of cylinder : m = g/W

Where , g is acceleration due to gravity = 9.8m/s²

And w is weight of cylinder in air = 0.66N

Substituting the values of g and w

Therefore , m = 9.8 / 0.66

=> m = 14.8 kg

So, Volume of cylinder = 14.8 / 2700

=> V = 5.481 ×  10⁻³m³

To calculate the density of liquid ,

Density of liquid  = Upthrust / (volume of object × acceleration due to gravity)

Upthrust of the liquid = 0.66 - 0.26

=> 4 × 10⁻¹N

Volume of cylinder = 5.481 ×  10⁻³m³

Acceleration due to gravity  = 9.8m/s²

Therefore , The density of unknown liquid = 4 × 10⁻¹N / (5.481 ×  10⁻³m³ × 9.8m/s²)

=> 4 × 10⁻¹N / 53.71×  10⁻³

=> 0.4 / 0.05371

Hence , the density of liquid is 7.447 kg/m³

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Answer:

The answer in decimal form is 18.9 so if you convert it to a fraction, the correct answer should be 8 9/10.

Answer:

A v=2.25   H=1

b. 5.625

Step-by-step explanation:

Answer:

V = 3.90625 cm³

Step-by-step explanation:

Given that V varies directly as h³ then the equation relating them is

V = kh³ ← k is the constant of variation

To find k use the condition

V = 6.75 when h = 3 , then

6.75 = k × 3³ = 27k ( divide both sides by 27 )

0.25 = k

V = 0.25h³ ← equation of variation

(b)

When h = 2.5 , then

V = 0.25 × 2.5³ = 3.90625 cm³

New Simplex Tableau:

| Basis | x1 | x2

To use the simplex tableau method to solve the given linear programming problem, we need to convert it into standard form. The standard form includes non-negativity constraints and all inequalities as less than or equal to constraints. Let's rewrite the problem in standard form:

Maximize: Z = 2x1 + 5x2 + 4x3

Subject to:

x1 + x2 + 2x3 + x4 = 20

2x1 + x2 + x3 + x5 = 10

0x1 + x2 - x3 + x6 = 5

3x1 + 0x2 + 3x3 + x7 = 12

x1, x2, x3, x4, x5, x6, x7 ≥ 0

Now, let's construct the initial simplex tableau:

Basis x1 x2 x3 x4 x5 x6 x7 RHS

x4 1 1 2 1 0 0 0 20

x5 2 1 1 0 1 0 0 10

x6 0 1 -1 0 0 1 0 5

x7 3 0 3 0 0 0 1 12

Z -2 -5 -4 0 0 0 0 0

Next, we will perform iterations to find the optimal solution. The goal is to make the coefficients in the Z row non-negative. We will select the most negative coefficient as the pivot column and the smallest ratio of the RHS to the pivot column value as the pivot row.

Iteration 1:

Pivot Column: x2 (most negative coefficient)

Pivot Row: x6 (smallest ratio of RHS / pivot column value)

Perform row operations to make x6 a basic variable:

Row 3 = Row 3 / 1

Perform column operations to clear the pivot column:

Row 1 = Row 1 - 1 * Row 3

Row 2 = Row 2 - 1 * Row 3

Row 4 = Row 4 - 0 * Row 3

Row 5 = Row 5 + 5 * Row 3

New Simplex Tableau:

Basis x1 x2 x3 x4 x5 x6 x7 RHS

x4 1 0 3 1 0 0 0 15

x5 2 0 2 0 1 0 0 35

x2 0 1 -1 0 0 1 0 5

x7 3 0 3 0 0 0 1 12

Z -2 0 -3 0 0 5 0 20

Iteration 2:

Pivot Column: x3 (most negative coefficient)

Pivot Row: x4 (smallest ratio of RHS / pivot column value)

Perform row operations to make x4 a basic variable:

Row 1 = Row 1 - 3 * Row 4

Row 2 = Row 2 - 2 * Row 4

Row 3 = Row 3 - (-1) * Row 4

Row 5 = Row 5 - 3 * Row 4

Perform column operations to clear the pivot column:

Row 2 = Row 2 - 2 * Row 5

Row 1 = Row 1 - 3 * Row 5

Row 3 = Row 3 - (-1) * Row 5

Row 7 = Row 7 - 0 * Row 5

New Simplex Tableau:

| Basis | x1 | x2

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a) Ratio analysis is a financial analysis tool that helps to evaluate the financial performance and health of a business by comparing different financial figures

b) There are three categories of ratios in ratio analysis: liquidity ratios, profitability ratios, and solvency ratios.

c) Ratio analysis is important because it helps to provide a quick snapshot of a company's financial health and performance.

Ratio analysis is a financial analysis tool that helps to evaluate the financial performance and health of a business by comparing different financial figures. It involves calculating and interpreting various ratios that provide insight into the financial position, profitability, and liquidity of a company.

There are three categories of ratios in ratio analysis

Liquidity ratios: These ratios help to determine a company's ability to meet its short-term financial obligations. Examples include the current ratio and the quick ratio.

Profitability ratios: These ratios help to evaluate a company's ability to generate profit in relation to its revenue, assets, and equity. Examples include the gross profit margin, net profit margin, and return on assets.

Solvency ratios: These ratios help to assess a company's ability to meet its long-term financial obligations. Examples include the debt-to-equity ratio and the interest coverage ratio.

Ratio analysis is important because it helps to provide a quick snapshot of a company's financial health and performance. It is useful for investors, lenders, and other stakeholders in making informed decisions about investing in or lending to a company.

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The given equation rearranged so that the variable q is the independent variable is 12r + 4r = 3q + 7q OR 16r = 10q

From the question, we are to rearrange the given equation so that the variable q is the independent variable

From the given information,

The give equation is

−7q + 12r = 3q − 4r

Add 7q to both sides of the equation

−7q + 7q + 12r = 3q + 7q − 4r

12r = 3q + 7q − 4r

Add 4r to both sides of the equation

12r + 4r = 3q + 7q − 4r + 4r

12r + 4r = 3q + 7q

Simplifying

16r = 10q

The equation rearranged is 12r + 4r = 3q + 7q OR 16r = 10q

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Answer:

A,C,D are triangles, B is not.

Step-by-step explanation:

Let 3 sides of a triangle be a,b,c.

A triangle have the sum of 3 angles = 180 degree

and

a-b<c<a+b (similar for a and b)

a. three sides measuring 6 cm, 8 cm, and 10 cm

Satisfied the a-b<c<a+b property -> triangle

b. three angles measuring 40 degrees, 70 degrees, and 65 degrees

Total of 3 angles = 40+70+65 = 175 > 180

-> not triangle

c. three angles measuring 10 degrees, 25 degrees, and 145 degrees

Total of 3 angles = 10+25+145 = 180

-> triangle

d. three sides measuring 9 m, 15 m, and 9 m

Satisfied the a-b<c<a+b property -> triangle

Answer:

C

All triangle must equal 180, 40 + 70 + 65 = 175

Answer:

1x=864,

2y=3

Step-by-step explanation:

y=6,x=?

if x is directly proportional to y^3 &if (when x=32, y is=2) we can understand that x=4y^3

1,x=4y^3

x=4(6^3)

x=4(216)

x=864

2,x=4y^3

108=4y^3

108/4=4y^3/4

27=y^3

√27=y

y=3

i think it is easy to understand,but if the answers are not clear you can ask me &i hope it helps you

Answer:

14

Step-by-step explanation:

we know that w and 2 are the same here, so substitute w with 2: 7(2)

this means 7 times 2, and that is 14

Answer:

14

Step-by-step explanation:

If w=2

Plug in 7(2)... Multiply then you would have 14.

We can say that the two means are significantly different from one another.

The critical t-scores refer to the t-values that represent the boundaries of the rejection region in a t-test. In this case, the critical t-scores are +/- 1.995. These values are obtained from a t-table with the degrees of freedom (df) equal to the smaller of the two sample sizes minus 1.

The t statistic is the calculated value from the t-test, which measures the difference between the sample means in standard error units. In this case, the t statistic is 2.55.

Since the t statistic lies outside the critical region (i.e., it is greater than 1.995), we can reject the null hypothesis that there is no difference between the means of the two populations. We can conclude that the difference between the means is statistically significant at the chosen significance level.

Therefore, we can say that the two means are significantly different from one another.

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