50 POINTS ASAP Polygon D has been dilated to create polygon D′.

Polygon D with top and bottom sides labeled 8 and left and right sides labeled 9.5. Polygon D prime with top and bottom sides labeled 9.6 and left and right sides labeled 11.4.

Determine the scale factor used to create the image.

Scale factor of 1.6
Scale factor of 1.2
Scale factor of 0.9
Scale factor of 0.8

Answer:

Below

Step-by-step explanation:

You need the RADIUS to calculate area.....since diameter is 8, radius is 4 inches

Area = pi r^2

Cost per square inch =  price / area = $12.56 / ( 3.14 *4^2) =  $ 0.25 per in^2

The approximate cost per square inch of the cookie cake is $0.25

To know the total cost to cover an area, multiply the area with the cost per unit of area.

Given that, a circular cookie cake costs $12.56, the diameter of the cookie cake is 8 inches,

We need to determine that, what is the approximate cost per square inch of the cookie cake,

So, the area of the cake = π × radius² [diameter = 2 radius]

= 3.14 × 4²

= 50.24 in²

Since, the cost for the 50.24 in² of the cookie cake is $12.56,

So, the 1 in² of the cookie cake = $12.56 / 50.24 in²

= $0.25

Hence, the approximate cost per square inch of the cookie cake is $0.25

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Each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.Option B,E,F.

Each chart has the following three components:

1. B. A center line representing the average: This line is drawn to show the average value or mean of the data being analyzed. It provides a reference point to compare the data points above and below it.

2. E. An upper line representing the maximum acceptable variation upwards: This line is drawn to indicate the upper limit of acceptable variation or deviation from the average. It helps identify if the data points exceed the acceptable range.

3. F. A lower line representing the maximum acceptable variation downwards: This line is drawn to indicate the lower limit of acceptable variation or deviation from the average. It helps identify if the data points fall below the acceptable range.

These three components together create a control chart, which is a graphical representation used in statistical process control. Control charts help monitor and analyze data over time, allowing organizations to identify trends, detect abnormalities, and make data-driven decisions to improve processes and quality.

In summary, each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.

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Answer:

q

Step-by-step explanation:

w

Answer:

False, False, True, False, True

Step-by-step explanation:

When you divide by a whole number, the answer always come out smaller

When you divide by a fraction, the answer always come out larger

Answer:Here i uploaded it to a website:

Step-by-step explanation:

The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.

To find the area of triangle EFG, we can use the formula:

\(Area = (1/2) \times base \times height\)

In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.

First, let's find the length of FG. We can use the law of cosines:

FG² = EF² + EG² - 2 * EF * EG * cos(∠F)

EF = 72 inches

EG = 34 inches

∠F = 21°

Plugging these values into the equation:

FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)

Solving for FG, we get:

FG ≈ 83.02 inches

Next, we need to find the height. We can use the formula:

height = \(EF \times sin( \angle F)\)

Plugging in the values:

height = 72 * sin(21°)

height ≈ 25.52 inches

Now we can calculate the area:

\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)

Area ≈ 1060.78 square inches

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Thus, the required number is 27.

Question seems to be incomplete. Here, Question could be -

"Twice the sum of a number and 3 is equal to three times the difference of the number and 9 find the number."

Algebraic expression consists of constant and variable. eg x, y, z etc.

Let the number be 'x'.
Now, applying condition
2(x+3) = 3(x-9)

2x+6 = 3x - 27
x = 21

Thus the required number is 21.

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Answer:

If your looking for X then it is : x = 23/10

Step-by-step explanation:

Answer:

x=23/10 y=-1/5

Step-by-step explanation:

Answer:

Sarita’s solution is correct. She made an error in her verification. Sarita was supposed to add the 5 and 7 in the first step.

Step-by-step explanation:

Given the following equation:

The steps to solve it are:

5(x-3)+7(x+4)-73

1. Apply the Distributive property:

5x-15+7x+28=73

2. Add the like terms:

12x+13=73

3. Subtract5 13 from both sides of the equation:

12x+13-(13)=73-(13

12x=60

4. Divide both sides of the equation by 12:

12r/12 = 60/12

x = 5

To verify it, let's substitute  into the equation:

5(5-3)+7(5+4)=73

Evaluating, we get:

5(2)+7(9)=73

10+63=73

73=73

Based on this, we can determine that Sarita's solution is correct, but she made an error in her verification (Observe that 5-3 is not equal to -2 )

Answer:

A. Sarita’s solution is correct. She made an error in her verification.

Step-by-step explanation:

EDGE 2020

The seventh term of the sequence is 364.5

From the question, we are to determine the seventh term of the sequence

Using the formula,

\(a_{n} = ar^{n-1}\)

Where \(a_{n}\) is the nth term

a is the first term

and r is the common ratio

From the given information,

a = 1/2

r = 3

Thus,

\(a_{7} = (\frac{1}{2}) 3^{7-1}\)

\(a_{7} = (\frac{1}{2}) 3^{6}\)

\(a_{7} = \frac{1}{2} \times 729\)

\(a_{7} = 364\frac{1}{2} \ OR \ 364.5\)

Hence, the seventh term of the sequence is 364.5

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Answer:

D

Step-by-step explanation:

ndndndnddndndnjdndjdjdjdjjddjdjdjdjddjjdjdd

Answer:

4.17

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

Answer:by make it in simple form

Step-by-step explanation:we firstly should start from 1st expression.Even by using algebra formula for ex:

=a/(a^2 -b^2)  +(b/(a^2 -b^2)

=(a+b)/(a^2 -b^2)

=(a+b) / ((a+b)(a-b))

=1/(a-b)

Diversified Citrus Industries will sell Zap to wholesalers at a price of $0.035 per 8-ounce can. The contribution per unit for Zap is -$0.205, indicating potential profitability issues.

a. To determine the price at which Diversified Citrus Industries will be selling its product to wholesalers, we need to consider the suggested retail price, the unit variable costs, and the desired margins for retailers and wholesalers. The suggested retail price to the consumer for the 8-ounce can is $0.05. The unit variable costs for the product are $0.18 for materials and $0.06 for labor. The company intends to give retailers a margin of 20% off the suggested retail price and wholesalers a margin of 10% of the retailer's cost.

Price to Wholesalers = Suggested Retail Price - Retailer's Margin - Wholesaler's Margin

Price to Wholesalers = $0.05 - ($0.05 * 20%) - ($0.05 * 10%)

Price to Wholesalers = $0.05 - $0.01 - $0.005

Price to Wholesalers = $0.035

Therefore, Diversified Citrus Industries will be selling its product to wholesalers at a price of $0.035 per 8-ounce can.

The contribution per unit for Zap can be calculated by subtracting the unit variable costs from the selling price to wholesalers:

Contribution per Unit = Price to Wholesalers - Unit Variable Costs

Contribution per Unit = $0.035 - ($0.18 + $0.06)

Contribution per Unit = $0.035 - $0.24

Contribution per Unit = -$0.205

Since the contribution per unit is negative, it means that the variable costs exceed the price to wholesalers. This suggests that the product may not be profitable in its current pricing and cost structure.

The break-even unit volume in the first year can be calculated by dividing the fixed overhead costs by the contribution per unit:

Break-even Unit Volume = Fixed Overhead Costs / Contribution per Unit

Break-even Unit Volume = $90,000 / (-$0.205)

However, since the contribution per unit is negative, the break-even unit volume cannot be determined using this approach.

The first-year break-even share of the market cannot be determined based on the information provided. The total market size and the expected sales volume of Zap are not specified, making it impossible to calculate the market share at the break-even point.

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The given structutre can be divided to 3 parts.

Let the first part be the rectangle ABHI.

The area of the section-1 is,

The second part is also a rectangle. The area of the rectangle BCFG is,

The third section is a triangle. The area of the triangle CED is,

The total area of the given structure is,

Thus, the total area of the given structure is 234 square yards, and the correct option is option D.

From the given graph , we see that it passes through the point (0,-1) .

→ y intercept = -1

For finding slope , take another point as (1,3) . Now using the points (1,3) and (0,-1) we can find out the slope as ,

→ m = y2 - y1 / x2 - x1

Substituting the respective values,

→ m = 3 -(-1)/1-0

→ m = 3+1/1

→ m = 4/1

→ m = 4

Hence the slope of the line is 4 and its y intercept is -1 .

A rock that contains equal amounts of potassium-40 and argon-40 is old as  1.25 billion years half life.

The duration it takes for a substance's radioactivity to decrease to half of what it once was is known as half-life.

The half-life of potassium-40 is about  1.25 billion, years. it undergoes beta decay and becomes argon-40. Equal amounts would be one half-life, so the sample is also 1.25 billion years old.

A property of a specific isotope is whether or not it emits radioactive material. While some isotopes are stable for all time, others are radioactive and degrade through a distinctive sort of emission. The radioactivity level falls with time as the radioactive isotope is present in decreasing amounts. The time it takes for one-half of a radioactive isotope to decay is known as its half-life, and it is both an intriguing and practical feature of radioactive decay. A particular radioactive isotope's half-life is constant; it is unaffected by environmental factors and is unrelated to the starting concentration of that isotope.

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Answer:   Difference = 3x² + 3x + 1

Step-by-step explanation:

Required: How changes in sides of a cube affects its volume.

Take for instance the side of the cube is x.  

The initial volume would be:  

Volume = x * x * x  

Volume = x³

When then dimension is increased by 1 unit, the new volume would be  

Volume = (x + 1) * (x + 1) * (x + 1)

Expand the brackets  

New Volume = (x² + 2x + 1)(x + 1)  

New Volume = x³ + 3x² + 3x + 1

[Calculate the difference between both volumes]  

Difference = New Volume - Initial Volume  

Difference = x³ + 3x² + 3x + 1 - x³

[Collect like terms]  

Difference = x³ - x³ + 3x² + 3x + 1  

Difference = 3x² + 3x + 1

So, there will be a difference of 3x² + 3x + 1 when the dimension is increased from x to x + 1

Take for instance: a dimension of 2 units is increased to 3 units  

Initial Volume = 2³ = 8

New Volume = 3³ = 27

Difference = 27 - 8  

Difference = 19

Using the derived formula (x = 2)  

Difference = 3x² + 3x + 1

Substitute 2 for x  

Difference = 3 * 2² + 3 * 2 + 1  

Difference = 3 * 4 + 6 + 1  

Difference = 12 + 6 + 1  

Difference = 19

Answers:

======================================================

Explanation:

To find the mean, we add up all the values

18+69+22+27+32+25+16+25 = 234

Then we divide that result by n = 8 since there are 8 values in this list

234/n = 234/8 = 29.25 which is the mean. This value rounds to 29.3 when rounding to the nearest tenth.

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

Now onto the median. We first need to sort the items from smallest to largest

This list

{18, 69, 22, 27, 32, 25, 16, 25}

sorts to

{16, 18, 22, 25, 25, 27, 32, 69}

Since n = 8 is an even number, the median will be between two values

It's between the items at slot 4 and 5. Note that n/2 = 8/2 = 4 to help determine that first slot mentioned.

The items in slots 4 and 5 are 25 and 25. In this case, we get the same value but that won't happen every time. Averaging those two values gets us 25.

The median is 25.

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

The mode is the most frequent value. In this case that would be 25 since it shows up the most (twice) compared to the other values (which only show up once).

Notes:

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

Before we determine anything about outliers, we need to calculate the standard deviation. You'll need your calculator for this one. You can do so by hand, but it's tedious busywork in my opinion.

Use a calculator to find the standard deviation of the given list is approximately 15.746031246

If we started at the center median value of 25, and added on 1.5 times the standard deviation, then we get to:

median+1.5*stdDev = 25+1.5*15.746031246 = 48.619046869

This value is the upper fence. It's the boundary between non-outliers and large outliers. Anything beyond 48.619046869 will be a large outlier. This applies to the value 69 from the original list. This value is effectively an "island" point far from the "mainland" of the cluster of other points.

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

Luckily, we don't need a calculator for this part. Subtract the max and min to get the range

range = max - min = 69 - 16 = 53

Answer:

Kindly check explanation

Step-by-step explanation:

Given the Equation :

(5/8)m = 25

The first step to take with this kind of equation is to multiply both sides by the denominator, 8

5m/8 * 8 = 25 *8

5m = 200

Then, we can divide both sides by 5 in other to isolate m

5m / 5 = 200 / 5

m = 40

Answer: m+40

Step-by-step explanation:

Given the Equation :

(5/8)m = 25

The first step to take with this kind of equation is to multiply both sides by the denominator, 8

5m/8 * 8 = 25 *8

5m = 200

Then, we can divide both sides by 5 in other to isolate m

5m / 5 = 200 / 5

m = 40

The answers 200 of u have an iPhone u can ask siri what the square root of whatever number is and it will tell u the correct answer

A. An example of a power series with a radius of convergence of 0 is Σ n=0 (n!)xⁿ. This series converges only at its center (x=0) but nowhere else.

B. The radius of convergence of the power series Σ n=0 (Cn + Dn) xⁿ is 2. The radii of convergence of the individual power series do not directly determine the radius of convergence of their sum.

C. No, it is not possible for the interval of convergence of a power series to be (0,∞). A power series converges within a specific interval, called the interval of convergence, which is always symmetric about its center. The interval of convergence will always have finite bounds, so it cannot be (0,∞).

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(a) The probability that exactly two out of six people have blood type A+ is approximately 0.3516. (b) The probability that at most two out of six people have blood type A+ is approximately 0.8203.

(a) To find the probability that exactly two out of six people have blood type A+, we use the binomial probability formula.

The formula is given by

P(X = k) = (n C k) * p^k * (1 - p)^(n - k),

where n is the number of trials (6),

k is the number of successful events (2),

p is the probability of success (1/4).

Plugging in these values, we have

P(X = 2) = (6 C 2) * (1/4)^2 * (3/4)^4.

Evaluating this expression, we find that the probability is approximately 0.3516.

(b) To find the probability that at most two out of six people have blood type A+, we sum the probabilities of having 0, 1, or 2 people with blood type A+.

This can be expressed as

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2).

Using the binomial probability formula, we calculate each term individually and sum them up.

P(X = 0) = (6 C 0) * (1/4)^0 * (3/4)^6, P(X = 1) = (6 C 1) * (1/4)^1 * (3/4)^5, and P(X = 2) = (6 C 2) * (1/4)^2 * (3/4)^4.

Adding these probabilities together, we find that the probability is approximately 0.8203.

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Answer:

The correct answer is enlargement scale factor of 1.5.

Step-by-step explanation:

the reason for this is that if you divide the D' numbers by the D numbers you get 1.5

so 8×1.5=12

6×1.5=9

any scale factor 0-1 is a reduction. Greater than 1 (like this case here) is an enlargement. as you can see the after image D' is bigger than the pre image D

I hope this helps :)

The solution to the initial value problem is:\(y(x) = (107/6)e^(-6x) + (53/6)e^(-4x) + (8x+7)e^(-8x)\)

To solve the initial value problem

−5y'' − 50y' − 120y = (−320x−40)e^(-8x),

y(0) = 17,

y'(0) = −100,

we will substitute the given initial values into the general solution

\(y(x) = ce^(-6x) + de^(-4x) + (8x+7)e^(-8x).\)

Substituting y(0) = 17, we have:
\(17 = ce^(0) + de^(0) + (8(0)+7)e^(0)\)
17 = c + d + 7

Simplifying this equation, we have:
c + d = 10  -- (1)

Next, we will differentiate the general solution to find y'(x):
y'(x) = -6ce^(-6x) - 4de^(-4x) + (8 - 8x)e^(-8x)

Substituting y'(0) = -100, we have:
-100 = -6c + 8(0) + 7

Simplifying this equation, we have:
-6c = -107
c = 107/6  -- (2)

Substituting the value of c from equation (2) into equation (1), we have:
107/6 + d = 10
d = 10 - 107/6
d = 53/6  -- (3)

Therefore, the solution to the initial value problem is:

\(y(x) = (107/6)e^(-6x) + (53/6)e^(-4x) + (8x+7)e^(-8x)\)

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Answer:

16.9

Step-by-step explanation:

14+10+17+24+12+19+15+27+14+17=169

169/10=16.9

Step-by-step explanation:

x+15=120°{corresponding angle}

x=120-15

x=105°

Answer:

\(x=87\)°

Step-by-step explanation:

\(corresponding ~angles ~are~congruent\)

\(x+15=102\\-15~~~~~-15\)

\(102-15=\)

\(x=87\)°

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

hope it helps....

have a great day!!

Answer:

5) vertical angles: FGH, KGJ

adjacent angles: FGH, FGK

6) vertical angles: LMS, PMQ

adjacent angles: NML, NMR

Answer:

3<n+5

Step-by-step explanation:

...................

Answer:

n+5-3

Step-by-step explanation:

"Less then" means subtraction and it is less than a number (marked as "n" in this example) plus 5 (+5). If you translate this into an equation, you would get n+5-3.

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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