What is the difference?

StartFraction x + 5 Over x + 2 EndFraction minus StartFraction x + 1 Over x squared + 2 x EndFraction

The expressions are:
- Francisco's distance: x
- Meredith's distance: x
- Total distance: 2x
- Distance between Francisco and Meredith: 230 - 2x.

To answer your question, let's break it down into the different expressions:

1. The expression that represents the number of feet Francisco has walked toward Meredith since they started walking can be written as x.

2. The expression that represents the number of feet Meredith has walked toward Francisco since they started walking can also be written as x.

3. The expression that represents the total number of feet Francisco and Meredith have walked toward one another since they started walking can be written as x + x, which simplifies to 2x.

4. The expression that represents the distance between Francisco and Meredith can be written as 230 - (x + x), which simplifies to 230 - 2x.

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Answer:

150%as a fraction is  3/2

Answer:

1.50 or 1 1/2

Step-by-step explanation:

Hope this helps!

Answer:

22.2

Step-by-step explanation:

Part a:  What quantity order size would minimize the total annual inventory cost? Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying Cost At minimum Total Annual Inventory Cost, the formula for the Economic Order Quantity (EOQ) is used. EOQ formula is given below: EOQ = sqrt((2DS)/H)Where, D = Annual DemandS = Ordering cost

The company should place an order for 168 boxes at a time in order to minimize the total annual inventory cost.Part b: Determine the minimum total annual inventory cost.Using the EOQ, the company can calculate the minimum total annual inventory cost. The Total Annual Inventory Cost formula is:Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying CostAnnual Ordering Cost = (D/EOQ) × S = (16,800/168) × $60 = $6,000Annual Carrying Cost = (EOQ/2) × H = (168/2) × $30 = $2,520Total Annual Inventory Cost = $6,000 + $2,520 = $8,520Therefore, the minimum Total Annual Inventory Cost would be $8,520.Part c: Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes)

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Answer:

Ok: X = 9

Step-by-step explanation:

We have

3x + (15x + 18) = 180

or

18x+18 = 180

or

18(x+1) = 180

or

x + 1  = 180/18

or

x + 1 = 10

or x = 9.

Answer:

9

Step-by-step explanation:

3x+15x+18=180

-18.             -18

3x+15x=162

18x=162

/18.    /18

x=9

The total interest you will earn in 30 years is approximately $241.61.

To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066

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Answer:

Triangle A is not a scale drawing

Triangle B is a scale drawing

Triangle C is not a scale drawing

Answer: y=3/5x -1.5

Step-by-step explanation:

hope this helps!

The equation of line is y = ( 1/2 )x - 3/2 and the slope is m = ( 1/2 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as P = P ( 1 , -1 )

Let the second point be represented as Q = Q ( -5 , -4 )

Now , the slope of the line between the points is

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -4 - ( -1 ) ) / ( -5 - 1 )

On simplifying the equation , we get

Slope m = ( -3 / -6 )

Slope m = 1/2

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - ( -1 ) = ( 1/2 ) ( x - 1 )

On simplifying the equation , we get

y + 1 = ( 1/2 )x - 1/2

Subtracting 1 on both sides of the equation , we get

y = ( 1/2 )x - 3/2

Hence , the equation of line is y = ( 1/2 )x - 3/2

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The area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.

Since kite ABCD is divided into two triangles by its diagonals, we can find the area of the kite by finding the sum of the areas of these two triangles.

Let AC and BD be the diagonals of the kite, intersecting at point E. Then triangle ABE and triangle CDE are the two triangles formed by the diagonals.

The area of a triangle can be found using the formula: Area = (base x height) / 2

For triangle ABE, the base is AB and the height is the distance from E to the line containing AB. Similarly, for triangle CDE, the base is CD and the height is the distance from E to the line containing CD.

Since the diagonals of a kite are perpendicular and bisect each other, the distance from E to the line containing AB is the same as the distance from E to the line containing CD.

Therefore, the heights of the two triangles are equal.

So, we can find the area of ABCD as follows:

Area of ABCD = Area of triangle ABE + Area of triangle CDE

= (AB x height)/2 + (CD x height)/2

= (AB + CD) x height / 2

Therefore, the area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.

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a) TRUE. The quadratic regression model = b0 + b1x + b2x2 allows for one sign change in the slope capturing the influence of x on y. This means that the slope of the line can either increase or decrease as x increases, depending on the sign of the coefficient b2.

b) TRUE. The quadratic regression model = b0 + b1x + b2x2 reaches a maximum when b2 < 0. This is because the coefficient b2 determines the shape of the curve, and when it is negative, the curve opens downwards and reaches a maximum point.
c) TRUE. The fit of the regression equations = b0 + b1x + b2x2 and = b0 + b1x + b2x2 + b3x3 can be compared using the coefficient of determination R2. R2 is a measure of how well the regression model fits the data, and can be used to compare the fit of different models. However, it is important to note that R2 should not be the only factor used to compare models, and other criteria such as residual plots and significance of coefficients should also be considered.

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Answer:

D

I guess you just have to add them

Answer:

D

Step-by-step explanation:

Which of the following is equivalent to (a^1/2 * b^1/3)^1/2?

Note: To distribute exponents in a parentheses where the two variables are being multiplied, you can distribute it to the powers. For example:

(4 * 5)² = 20² = 400

Or, we can rewrite it like:

(4 * 5)² = 4² * 5² = 16 * 25 = 400

Now, onto the problem.

First, multiply the exponents with the one outside the parentheses.

a^(1/2 * 1/2) * b^(1/3 * 1/2)

Simplify.

a^(1/4) * b^(1/6)

So, the answer is D.

Just in case, let's double check the answer.

Let's pretend that a=16 and b=64.

Then,

(a^(1/2) * b^(1/3))^(1/2) = a^(1/4) * b^(1/6)

(16^(1/2) * 64^(1/3))^(1/2) = 16^(1/4) * 64^(1/6)

(4 * 4) ^ (1/2) = 2 * 2

16 ^ (1/2) = 4

4 = 4

Thus, the answer is correct.

The following formula is used: P(n,r) = n! / (n - r)! to the calculate  the number of permutations.

The formula used to calculate the number of permutations when a permutation is any arrangement of r objects

selected from n possible objects is P(n,r).

P(n,r) is the formula used to calculate the number of permutations.

Let us try to understand the concept of permutations first.

Permutations refer to the different ways of arranging elements.

It is represented as nPr called as n-permute-r.

Here, n represents the total number of elements present, and r represents the number of elements taken for each

permutation.

To calculate the number of permutations, the following formula is used:

P(n,r) = n! / (n - r)!

Where n! is equal to n-factorial that refers to the product of all numbers starting from 1 up to n.

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Answer:

you didn't show the following

Step-by-step explanation:

but I'd love to help

Answer:

1340

Step-by-step explanation:

I did 20,171-18,831

because they are asking how many more laptops were sold from 2001 and 2000 so i took the laptop sales from 2000 and the laptop sales from 2001 and subtracted them

I hope this is correct

A grain οf salt is abοut 5 times as wide as a human cheek cell.

A standard fοrm οf a number in Maths is basically mentiοned fοr the representatiοn οf large numbers οr small numbers. We use expοnents tο represent such numbers in standard fοrm.

The cοrrect definitiοn οf standard fοrm cοuld be explained better in terms οf decimal numbers and fοllοwing certain rules. As we knοw, decimal numbers are the simplified fοrm οf fractiοns.

Sοme fractiοns give decimal numbers which have numbers after decimal at thοusandths, hundredths οr tenths place. But there are sοme fractiοns, which give a big decimal number. Tο represent such big numbers, we use simpler fοrms, which are alsο stated as Scientific nοtatiοn

Tο cοmpare the sizes οf the grain οf salt and the human cheek cell, we need tο divide the diameter οf the grain οf salt by the diameter οf the cheek cell:

\(\frac{(3*10^{-4} meters)}{(6*10^{-5 }meters)} \\\\=5\)

Therefοre, a grain οf salt is abοut 5 times as wide as a human cheek cell.

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According to the given statement , the value of "b" in the equation cos(22.6°) = b/13 is approximately 12.

To solve for "b" in the equation cos(22.6°) = b/13, we can use trigonometric functions.

Step 1:

Rewrite the equation as cos(22.6°) = b/13.

Step 2:

Multiply both sides of the equation by 13 to isolate "b". This gives us:

b = 13 * cos(22.6°).

Step 3:

Use a calculator to find the cosine of 22.6°. The value of cos(22.6°) is approximately 0.9239.

Step 4:

Substitute this value back into the equation to find "b". b = 13 * 0.9239.

Step 5:

Calculate the value of "b" by multiplying 13 by 0.9239. The result is approximately 11.999.

Step 6:

Round the value of "b" to the nearest whole number. Since 11.999 is closer to 12, we round up to 12.

Therefore, the value of "b" in the equation cos(22.6°) = b/13 is approximately 12.

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Answer:

1. 3a2

Step-by-step explanation:

Answer:

one ticket is $1.20

Step-by-step explanation:

6 / 5 = 1.2, then check it by multiplying 1.2 x 5. Its easier than you think. Im positive im correct. All you have to do is one but if u want to make sure you can do all of them

Answer:

$1.20

Step-by-step explanation:

If you divide the price of a ticket bundle by the amount of tickets, you get the individual ticket price.

5 tickets for $6.

6/5 = 1.2

10 tickets for $12.

12/10 = 1.2

15 tickets for $18

18/15 = 1.2

The 90% confidence interval for the population standard deviation of the thicknesses of all linoleum tiles in this factory (3.27, 7.78)

To construct the 90% confidence interval for the population standard deviation of the thicknesses of all linoleum tiles in the factory, we need to use the chi-square distribution since the population standard deviation is unknown.

1. Identify the sample size (n) and sample standard deviation (s):
n = 13 (13 randomly selected linoleum tiles)
s = 4.76 (standard deviation of the thicknesses)

2. Determine the degrees of freedom (df):
df = n - 1 = 13 - 1 = 12

3. Find the chi-square values for the 90% confidence interval using a chi-square table or calculator:
The lower tail value (with 5% in the lower tail) is χ² = 4.404
The upper tail value (with 5% in the upper tail) is χ² = 21.026

4. Calculate the confidence interval for the population standard deviation:
Lower limit = √[(n - 1) * s² / χ²_upper] = √[(12 * (4.76)²) / 21.026] ≈ 3.27
Upper limit = √[(n - 1) * s² / χ²_lower] = √[(12 * (4.76)²) / 4.404] ≈ 7.78

The 90% confidence interval for the population standard deviation is approximately (3.27, 7.78).

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The correct answer is (a) \(y^2 - x^2 = x + 7y\) for the polar equation.

Polar coordinates are a two-dimensional coordinate system that uses an angle and a radius to designate a point in the plane. A polar equation is a mathematical equation that expresses a curve in terms of these coordinates. Circles, ellipses, and spirals are examples of forms with radial symmetry that are frequently described using polar equations. They are frequently employed to simulate physical events that have rotational or circular symmetry in engineering, physics, and other disciplines. Computer programmes and graphing calculators both use polar equations to represent two-dimensional curves.

To convert the polar equation\(r = sinθ\) into a cartesian equation, we use the following identities:

\(x = r cosθy = r sinθ\)

Substituting these into the given polar equation, we get:

\(x = sinθ cosθy = sinθ sinθ = sin^2θ\)
Now we eliminate θ by using the identity:

\(sin^2θ + cos^2θ = 1\)

Rearranging and substituting, we get:

\(x^2 + y^2 = x(sinθ cosθ) + y(sin^2θ)\\x^2 + y^2 = x(2sinθ cosθ) + y(sin^2θ + cos^2θ)\\x^2 + y^2 = 2xy + y\)

Therefore, the correct answer is (a)\(y^2 - x^2 = x + 7y\).

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Ten choices for the first digit, 10 for the second, 10 for the third,

10 × 10 × 10 = 1000 combinations

Answer: 1000

Answer:

6.8

Step-by-step explanation:

8 * 6 = 48 (to reverse dividing by 6 to basically un-average the 6 numbers).

5 * 4 = 20 (to un-average these numbers as well).

48 + 20 = 68

68 / 10 = 6.8

Basically by doing this you are still adding all the numbers together & then dividing by 10 as if you added them all up at once & not in a group of 6 & a group of 4.

Hope this helped. :)

The complete table of values of the proportional relationship is

A= 8, 24, 40

B= 3, 9, 15

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

A= 8, _, 40

B= 3, 9, _

Calculate the constant of proportion using

constant = B/A

Substitute the known values in the above equation, so, we have the following representation

constant = 3/8

Substitute constant = 3/8 in constant = B/A

3/8 = B/A

So, we have

3A = 8B

When B = 9, we have

3A = 8 * 9

This gives

A = 24

When A = 40, we have

3 * 40 = 8B

This gives

B = 15

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Complete question

Complete the table such that a and b represent a proportional relationship

A= 8, _, 40

B= 3, 9, _

The counting sort is a stable, linear time sorting algorithm that uses an auxiliary array to sort a collection of integers within a given range. As a result, this algorithm's performance is determined solely by the size of the input and the range of values to be sorted.

The issue with this particular issue is that there are both three-digit and five-digit numbers. However, since it is a counting sort, this can be overcome by appending two zeroes in front of the three-digit numbers and one zero in front of the one-digit numbers.1111005 7 107 11002 1 21003 3331005The largest number is 3331005.The count array will be of size (largest+1), which is 3331006 for this example. Initial count array: 0 0 0 ... 0 (of size 3331006)Count how many times each element appears in the array: array: 1111005 7 107 11002 1 21003 3331005count: 0000101 1 1 1 2 1 0000001Add up the previous counts to get the final count array:array: 1111005 7 107 11002 1 21003 3331005count: 0000102 3 4 5 7 8 0000009Thus, the sorted array is:1 7 107 11002 21003 1111005 3331005The count array is as follows:array: 1111005 7 107 11002 1 21003 3331005count: 0000102 3 4 5 7 8 0000009

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