define the sequence recursively using function notation.
2.5, 7.5, 22.5, 67.5, 202.5,...

To determine how many pieces of the press must be purchased, we need to consider the production rate, operating hours, efficiency, and scrap rate.

Number of units processed per day = 10,000

Machine efficiency = 95%

Punching operation time = 10 seconds

Number of shifts per day = 2

Number of hours per shift = 8

To calculate the required number of presses, we can use the following formula:

Number of presses = (Number of units processed per day / (Machine efficiency * Number of shifts * Number of hours)) * (Punching operation time / 3600)

Number of presses = (10,000 / (0.95 * 2 * 8)) * (10 / 3600) = 52.08

Therefore, approximately 52 presses would be needed to meet the production requirements.

If the press has a scrap rate of 10%, we need to consider the effect of scrapped units on the required number of presses.

Number of scrapped units per day = 10,000 * 0.10 = 1,000

Number of units that can be reworked = 1,000 * 0.70 = 700

To modify the formula for the new scenario, we subtract the reworked units from the total units processed per day:

Number of units processed per day (after rework) = 10,000 - 700 = 9,300

Number of presses (after considering scrap and rework) = (9,300 / (0.95 * 2 * 8)) * (10 / 3600) = 48.48

Therefore, approximately 48 presses would be needed when considering the scrap rate and rework capability.

The new answer is different from Exercise 11 because the scrap rate reduces the effective production rate, resulting in a lower requirement for punch presses. By accounting for scrap and rework, the company can optimize its resource allocation and production planning to meet the desired output while considering the potential loss due to scrap.

Learn more about accounting here:

https://brainly.com/question/5640110

#SPJ11

The missing information in the proof is a which is option A.

Given d is the mid point of ab and e is the mid point of ac. Coordinates are point a (2b,2c), point e (ab, c), point c (2a, 0),point b (0,0), point d (b, c).

We have to find the missing proof in the solution.

To find the missing figure we have to just find the distance between point d and point e.

Distance formula for determining the distance between two points on a coordinate plane is given as :

d=\(\sqrt{(y_{2} -y_{1} )^{2} +(x_{2} -x_{1} )^{2} }\)

where (\(x_{1} ,y_{1} ) (x_{2} ,y_{2} )\) are the coordinates at the end of line.

DE=\(\sqrt{(a+b-b)^{2} +(c-c)^{2} }\)

Simplifying this we get:

DE=\(\sqrt{(a^{2} +0^{2} }\)

=\(\sqrt{a^{2} }\)

=a

Hence the missing proof is a which is the distance or length of DE..

Learn more about distance at https://brainly.com/question/2854969

#SPJ4

According to the California Cigarette & Tobacco Products Tax Law, the average pack of cigarettes purchase in California costs $8.40.

Option A.

The price of a cigarette in California has been on the rise for many years, owing to the state's aggressive anti-tobacco initiatives.

The state of California, like many other US states, has implemented measures aimed at discouraging smoking and the use of tobacco products, including the introduction of high taxes on cigarettes.

The tax imposed on tobacco products is intended to help cover the expenses of treating tobacco-related diseases, which cost the state millions of dollars every year.

The average cost of a pack of cigarettes in California has been steadily increasing over the years.

This can be attributed to a variety of factors, including higher tobacco taxes and anti-smoking legislation, as well as increased public awareness about the dangers of smoking and the impact it can have on one's health and wellbeing.

In conclusion, the average pack of cigarettes purchase in California is $8.40, as mandated by the state's Cigarette & Tobacco Products Tax Law.

This law, along with other anti-smoking initiatives, has been effective in reducing the prevalence of smoking and tobacco use in California over the years.

Option A.

For more such questions on costs

https://brainly.com/question/25109150

#SPJ8

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

y = 4000 - 70x

Linear function.

Step-by-step explanation:

Let x = number of weeks.

In 1 week, he withdraws $70.

That means -70 in 1 week.

After the second week, he will have withdrawn 2 times $70, or

-70 × 2

After 3 week, he will have withdrawn -70 × 3

After x weeks, he will have withdrawn $70 × x,or simply -70x.

He starts with 4000, so after x weeks, he has 4000 - 7x.

Let y = the amount of money at week x.

The equation is

y = 4000 - 70x

This is a linear function.

Based on the given side lengths of 3cm, 7cm, and 7.4cm, the triangle is a(n) scalene triangle. In a scalene triangle, all sides have different lengths.

Triangles are described in terms of their sides and angles in geometry. A closed planar three-sided polygon shape with three sides and three angles is known as a triangle. The lengths of the sides of a scalene triangle vary. They are not equal, and the angles have three measurements. However, it still has a 180° angle sum, just like all triangles.

A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all internal angles, however, is always equal to 180 degrees. As a result, it satisfies the triangle's condition of angle sum.

Visit here to learn more about polygon  : https://brainly.com/question/24464711
#SPJ11

Aymptotes exist when a function gets very close to a value but never reaches it, for vertical asymptotes we draw vertical lines, in this case, at x equals 2, for horizontal asymptotes draw a horizontal line, in this case at y equals 1.

The given expression is x^(43/20) - 3x^(41/20) - 5x^(41/20) - 7x^(41/20).

The given terms are:
1. f
2. S
3. S
4. e3m -3m +e S
5. S
The given expression is:
√√x-3x²-5x-7 √√√x5 1. f 2. S 3. S 4. e3m -3m +e S 5. S 1+cos √1-cosr e3m. -3m ∙e dx √x cos² √x (1+In²sec√x) dx : dm ² dr ds s² cos²25-16tan²²
Simplifying the expression, we get;

√√x - 3x² - 5x - 7√√√x⁵

=√(x^2 * x^(1/2)) * √(x^(1/2) * x^(1/2) * x^(1/2) * x^(1/2) * x^(1/2))

=(x * x^(1/4)) * (x^(1/10))

=x^(21/20)

Now, the given expression is reduced to:
f 2. S 3. S 4. e3m -3m +e S 5. S 1 + cos√1-cosr e3m -3m ∙e dx √x cos²√x (1 + In²sec√x) dx : dm ² dr ds s² cos²25 - 16tan²²

= √x(x - 3x² - 5x - 7) * x^(21/20)√x(x - 3x² - 5x - 7) * x^(21/20)

= x^(43/20) - 3x^(41/20) - 5x^(41/20) - 7x^(41/20)

The given expression is x^(43/20) - 3x^(41/20) - 5x^(41/20) - 7x^(41/20).

To know more about expression visit:

https://brainly.com/question/28058531

#SPJ11

Answer:

t = 4

Step-by-step explanation:

Using the rule of logarithms

log x = log y ⇒ x = y

Given

log(t - 3) = log(17 - 4t), then

t - 3 = 17 - 4t ( add 4t to both sides )

5t -3 = 17 ( add 3 to both sides )

5t = 20 ( divide both sides by 5 )

t = 4

the solution of (17-4t) is (17-43)

Answer:

The answer is:

Step-by-step explanation:

9, 4.1, 2.6, 7, 8.5

It looks like the limit you want to compute is

\(\displaystyle \lim_{x\to4} \frac{f(g(x)) - f(4)}{x-4}\)

Since \(g(4)=4\), this limit corresponds exactly to the derivative of \((f\circ g)(x) = f(g(x))\) at \(x=4\). Recall that

\(f'(a) = \displaystyle \lim_{x\to a} \frac{f(x) - f(a)}{x - a}\)

By the chain rule,

\((f\circ g)'(4) = f'(g(4)) \times g'(4) = f'(4) \times g'(4) = 3\times7 = \boxed{21}\)

Since \(g'(4)\) exists, \(g\) is differentiable at \(x=4\) so it must be continuous.

To prove that 3x ≤ y, assume the opposite, that is, 3x > y, rearrange the inequality substitute x < 2y and simplify, contradict the given condition that x < 2y, therefore, concluding that 3x ≤ y.

Start by assuming the opposite, that is, 3x > y.

From the given inequality,\(7xy \leq 3x^2 + 2y^2,\), we can rearrange to get:
\(7xy - 3x^2 \leq 2y^2\)

We can substitute \(x < 2y\) into this inequality:
\(7(2y)x - 3(2y)^2 \leq 2y^2\)

Simplifying, we get:
\(y(14x - 12y) \leq 0\)

Since y is a real number, this means that either y ≤ 0 or 14x - 12y ≤ 0.

If y ≤ 0, then 3x ≤ y is trivially true.

If 14x - 12y ≤ 0, then we can rearrange to get:
3x ≤ (12/14)y
3x ≤ (6/7)y
3x < y (since we assumed 3x > y)

But this contradicts the given condition that x < 2y, so our assumption that 3x > y must be false.

Therefore, we can conclude that 3x ≤ y.

Know more about inequality here:

https://brainly.com/question/25275758

#SPJ11

1. (a) 50% of the data set is greater than 16.

(b) 68.26% of the data set falls between 10 and 22.

(c) 2.28% of the data set is greater than 28.

(d) 0.62% of the data set is less than 1.

(e) 66.87% of the data set falls between 4 and 19.

(f) 15.25% of the data set falls between 22 and 31.

2. the breeder can expect to have approximately 111 Siamese cats with weights between 5.2 and 7.6 pounds.

3. approximately 2.28% of the bottles would be expected to have less than 58 ounces.

(a) Since the variable is normally distributed with a mean of 16 and a standard deviation of 6, we can use the Z-score formula:

Z = (X - μ) / σ

where X is the value we're interested in, μ is the mean, and σ is the standard deviation.

X = 16, μ = 16, and σ = 6.

Z = (16 - 16) / 6 = 0

The Z-score of 0 corresponds to the mean of the distribution. To find the area to the right of 16, we can look up the Z-score of 0 in the standard normal distribution table, which gives us a value of 0.5000. However, since we want the area to the right, we subtract this value from 1:

1 - 0.5000 = 0.5000

Therefore, 50% of the data set is greater than 16.

(b) To find the percent of the data set that falls between 10 and 22, we can calculate the area under the normal distribution curve between these two values.

Z₁ = (10 - 16) / 6 = -1.00

Z₂ = (22 - 16) / 6 = 1.00

Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = -1.00 is 0.1587 and the area to the left of Z = 1.00 is 0.8413. To find the area between these two Z-scores, we subtract the smaller area from the larger area:

0.8413 - 0.1587 = 0.6826

Therefore, 68.26% of the data set falls between 10 and 22.

(c) To find the percent of the data set that is greater than 28

Z = (28 - 16) / 6 = 2.00

Looking up this Z-score in the standard normal distribution table, we find that the area to the left of Z = 2.00 is 0.9772. Since we want the area to the right, we subtract this value from 1:

1 - 0.9772 = 0.0228

Therefore, 2.28% of the data set is greater than 28.

(d) To find the percent of the data set that is less than 1

Z = (1 - 16) / 6 = -2.50

Looking up this Z-score in the standard normal distribution table, we find that the area to the left of Z = -2.50 is 0.0062. Therefore, 0.62% of the data set is less than 1.

(e) To find the percent of the data set that falls between 4 and 19

Z₁ = (4 - 16) / 6 = -2.00

Z₂ = (19 - 16) / 6 = 0.50

Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = -2.00 is 0.0228 and the area to the left of Z = 0.50 is 0.6915. Subtracting the smaller area from the larger area:

0.6915 - 0.0228 = 0.6687

Therefore, 66.87% of the data set falls between 4 and 19.

(f) To find the percent of the data set that falls between 22 and 31

Z₁ = (22 - 16) / 6 = 1.00

Z₂ = (31 - 16) / 6 = 2.50

Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = 1.00 is 0.8413 and the area to the left of Z = 2.50 is 0.9938. Subtracting the smaller area from the larger area:

0.9938 - 0.8413 = 0.1525

Therefore, 15.25% of the data set falls between 22 and 31.

2. For the weights of Siamese cats, which are normally distributed with a mean of 6.4 pounds and a standard deviation of 0.8 pounds, we want to find the number of cats that have weights between 5.2 and 7.6 pounds.

Z₁ = (5.2 - 6.4) / 0.8 = -1.5

Z₂ = (7.6 - 6.4) / 0.8 = 1.5

The area to the left of Z = -1.5 is 0.0668, and the area to the left of Z = 1.5 is 0.9332. To find the area between these two Z-scores, we subtract the smaller area from the larger area:

0.9332 - 0.0668 = 0.8664

This means that 86.64% of Siamese cats are expected to have weights between 5.2 and 7.6 pounds.

To find the number of cats in a sample of 128 cats, we can multiply the percent by the total number of cats:

0.8664 * 128 = 110.87

Rounding to the nearest whole number, the breeder can expect to have approximately 111 Siamese cats with weights between 5.2 and 7.6 pounds.

3. For one quart bottles of apple juice with weights normally distributed with a mean of 64 ounces and a standard deviation of 3 ounces, we want to find the percent of bottles that would be expected to have less than 58 ounces.

To calculate this, we can convert the weight of 58 ounces to a Z-score:

Z = (58 - 64) / 3 = -2

Looking up the Z-score of -2 in the standard normal distribution table, we find that the area to the left of Z = -2 is 0.0228. Therefore, approximately 2.28% of the bottles would be expected to have less than 58 ounces.

Learn more about Z-score here

https://brainly.com/question/31871890

#SPJ4

The median of the given set of numbers is -13.5.

To find the median of a set of numbers, you need to arrange them in ascending order and then determine the middle value. If there is an even number of values, the median is the average of the two middle values.

Let's arrange the numbers in ascending order:

-18, -18, -14, -13, 12, 13, 14, 16

The set has 8 elements, so it has an even number of values. The middle two values are -14 and -13. To find the median, we take the average of these two values:

Median = (-14 + -13) / 2 = -27 / 2 = -13.5

Learn more about ascending order here:

https://brainly.com/question/31946606

#SPJ11

Answer:

A

Step-by-step explanation:

Answer:

m∠E = 113

Step-by-step explanation:

Given that ΔDEF ≅ ΔPQR

We know that the following angles are congruent

∠D ≅ ∠P

∠E ≅ ∠Q

∠F ≅ ∠R

Now how do we know how these angles are congruent?

Well because if a triangle statement is given and the two triangles are congruent we can infer that the angles (in order) are congruent

Meaning: because D and P are the first letters of each triangle in the statement they have congruent angles if that makes sense.

So we are also given that

∠R = 13 and ∠D = 54

and we need to find ∠E

Remember like stated previously ∠R ≅ ∠F so ∠F = 13°

Now that we have found two angles in the triangle ΔDEF we can find the missing angle (∠E)

Using the triangle angle rule (the angles in a triangle add up to equal 180)

so ∠E = 180 - ∠D - ∠F

now we plug in the given information

∠E = 180 - 54 - 13

180 - 54 = 126

126 - 13 = 113

so ∠E = 113

Answer:

Step-by-step explanation:

Formula for depreciation =

\(A=P(1-\frac{r}{100})^n\)

Here A= Amount left after n periods

P= Principal amount

r= rate of depreciation

n= time period

Using the formula

\(21500(1-\frac{11}{100})^5= 21500*(\frac{89}{100})^5= 12005.72$\) $

Answer:

Yes, AN time E equal to ABN if A=1, B=5, E=3 & N=0.

Step-by-step explanation:

Given;

Does AN time E equal to ABN if A=1, B=5, E=3 & N=0?

A = 1

B = 5

E = 3

N  = 0

Note;

0 multiply everything is 0.

Solve;

So If A=1, B=5, E = 3, N=0                

AN times E = (1 x 0) x 3 = 0

ABN = (1 x 5 x 0) = 0

Therefore, the question would be true.

~Learn with Lenvy~

A Markov chain model, also known as a Markov process or simply a Markov model, is a mathematical framework used to describe and analyze systems that evolve over time.

To create a Markov chain model for a rat wandering through the maze, we need to consider the different states the rat can be in and the probabilities of transitioning between these states.

In this maze, the rat can be in different rooms. Let's say there are three rooms: A, B, and the center room (C). The center room is an absorbing state, which means that once the rat enters this room, it will stay there and not move to any other room.

To create the Markov chain, we need to define the transition probabilities between the different rooms. Since the rat is equally likely to leave its current room through any of the doorways, the transition probabilities for each room will be 1/3.

Here is an example of the transition probabilities:

1. From room A:
  - Probability of transitioning to room B: 1/3
  - Probability of transitioning to the center room C: 1/3
  - Probability of staying in room A: 1/3

2. From room B:
  - Probability of transitioning to room A: 1/3
  - Probability of transitioning to the center room C: 1/3
  - Probability of staying in room B: 1/3

3. From the center room C:
  - Probability of staying in room C: 1

Once the transition probabilities are defined, we can represent the Markov chain using a transition matrix. In this case, the transition matrix will be a 3x3 matrix, where each row represents the current room and each column represents the next possible room. The values in the matrix will correspond to the transition probabilities.

Transition matrix:
```
| 1/3   1/3   1/3 |
| 1/3   1/3   1/3 |
|   0     0     1   |
```

Note that the last row of the matrix represents the absorbing state (center room C), where the probability of transitioning to any other room is 0, and the probability of staying in the center room is 1.

By using this Markov chain model, we can analyze the rat's behavior and calculate probabilities of different events, such as the number of periods it takes for the rat to reach the center room or the probability of the rat being in a specific room after a certain number of periods.

To know more about Markov chain model, visit:

https://brainly.com/question/30465344

#SPJ11

The smallest three-digit number divisible by the first three prime numbers (2, 3, and 5) and the first three composite numbers (4, 6, and 8) is 120.

The first three prime numbers are 2, 3, and 5. The first three composite numbers are 4, 6, and 8. In order for a number to be divisible by all six of these numbers, it must be divisible by their least common multiple (LCM).

The LCM of 2, 3, 5, 4, 6, and 8 is 120. Therefore, the smallest three-digit number divisible by the first three prime numbers and the first three composite numbers is 120.

Here is a more detailed explanation of how to calculate the LCM:

Find the prime factorization of each number.

Find the highest power of each prime factor.

Multiply the prime factors together, using the highest power for each factor.

The highest power of 2 that appears in any of the prime factorizations is 2^3.

The highest power of 3 that appears in any of the prime factorizations is 3^1.

The highest power of 5 that appears in any of the prime factorizations is 5^1.

Therefore, the LCM of 2, 3, 5, 4, 6, and 8 is 2^3 * 3^1 * 5^1 = 120.

To know more about number click here

brainly.com/question/28210925

#SPJ11

The given series are as follows:

a) 11n^2 + en + 32m^3 + 3n^2 - 7n + 1

b) n^3 - 2^n

a) To determine the convergence or divergence of the series 11n^2 + en + 32m^3 + 3n^2 - 7n + 1, we need more information about the variables 'e' and 'm'. Without specific values or conditions, it is not possible to definitively determine the convergence or divergence of the series.

b) The series n^3 - 2^n is divergent. As n approaches infinity, the term 2^n grows much faster than the term n^3, leading to an infinite value for the series. Therefore, the series is divergent.

To learn more about convergent click here: brainly.com/question/31756849

#SPJ11

The tangent vectors Tu and Tv are calculated to be Tu = (2sin(v), 2cos(v), 0) and Tv = (2u*cos(v), -2u*sin(v), 3). The equation of the tangent plane at P=(1,π/3) is found to be x - √3y + z - √3 = 0. The surface area of S is computed using the formula for surface area of a parametric surface and found to be 4π.

To calculate the tangent vectors Tu and Tv, we differentiate each component of the parametric equation G(u,v) with respect to u and v, respectively. Differentiating G(u,v) with respect to u gives us (2sin(v), 2cos(v), 0) for Tu. Similarly, differentiating G(u,v) with respect to v gives us (2u*cos(v), -2u*sin(v), 3) for Tv. To find the equation of the tangent plane at a specific point P=(1,π/3) on the surface S, we substitute the values of u and v corresponding to P into the parametric equation G(u,v) to obtain the point (2sin(π/3), 2cos(π/3), 3π/3) = (√3, 1, π). The equation of the tangent plane can be obtained by using the normal vector to the plane, which is the cross product of Tu and Tv evaluated at P, giving us a normal vector of (-2√3, -2, 2√3). Substituting the values of P and the normal vector into the general equation of a plane, we get x - √3y + z - √3 = 0.

The surface area of S can be computed using the formula for surface area of a parametric surface: ∬S ∥Tu × Tv∥ dA, where ∥Tu × Tv∥ is the magnitude of the cross product of the tangent vectors Tu and Tv, and dA represents the area element. Since the surface S is a flat rectangular patch in this case, the area element dA reduces to du dv. Integrating the magnitude of the cross product over the given parameter range, which is 0≤u≤1 and 0≤v≤2π, we obtain the surface area as 4π.

To learn more about tangent vectors click here

brainly.com/question/31476175

#SPJ11

Answer:

It depends on which why you are moving so let's say you have to move the 3 units to the right and 1 up, that would be the answer. I can't really give you the exact answer because you didn't say where they are supposed to go.

To calculate the present value of a zero-coupon bond, we can use the formula: Present Value = Future Value / (1 + Interest Rate)^n

where Future Value is the par value of the bond, Interest Rate is the annual market interest rate, and n is the number of years. In this case, the Future Value is $2,000, the Interest Rate is 10% (or 0.10), and the number of years is 5. Using Excel, we can calculate the present value as follows:
1. In cell A1, enter the Future Value: 2000
2. In cell A2, enter the Interest Rate: 0.10
3. In cell A3, enter the number of years: 5
4. In cell A4, enter the formula for calculating the present value: =A1 / (1 + A2)^A3
5. Press Enter to get the result.

The present value of the 5-year zero-coupon bond with a $2,000 par value and an annual market interest rate of 10% is $1,620.97.

The formula for present value calculates the current worth of a future amount by discounting it back to the present using the interest rate. In this case, the future value is $2,000, and we divide it by (1 + 0.10)^5 to account for the effect of compounding over 5 years. The result is the present value of $1,620.97, which represents the amount that is considered equivalent to receiving $2,000 in 5 years at a 10% interest rate.

Learn more about rate here: brainly.com/question/25565101

#SPJ11

The variable x is frequently referred to as the indeterminate, denoting that its value is uncertain, rather than being evaluated for a particular value of x in a polynomial.

The term "indeterminate" is frequently used to describe the variable x, as opposed to evaluating a polynomial for a certain value of x. This highlights the fact that x's value is unknown and not being calculated. When the polynomial is not being evaluated for a particular value, it is designated as indeterminate. In other words, rather than the variable's actual numerical value, the focus is on the polynomial's structure. This is crucial in abstract algebra, where it is vital to comprehend how polynomials are related to one another and how they might be used. We may learn more about the characteristics of groups and rings, as well as how to use these structures to solve problems, by studying polynomials in particular. We can comprehend the abstract algebraic structures and their connections by considering the variable x as indeterminate.

Learn more about variable here

brainly.com/question/29583350

#SPJ4

Answer:

3

Step-by-step explanation:

A triangle is a shape used to represent the components of total health. True

The only point where ƒ(x) = |3x − 4| fails to be differentiable is x = 4/3.

To find all points where ƒ(x) = |3x − 4| fails to be differentiable, we need to analyze the function in two different intervals: when 3x - 4 is negative and when it is positive.

When 3x - 4 < 0, then |3x - 4| = -(3x - 4) = -3x + 4. Thus, in this interval, ƒ(x) = -3x + 4. The derivative of this function is simply -3, which is a constant. Therefore, this function is differentiable for all x in this interval.

When 3x - 4 ≥ 0, then |3x - 4| = 3x - 4. Thus, in this interval, ƒ(x) = 3x - 4. The derivative of this function is simply 3, which is also a constant. Therefore, this function is differentiable for all x in this interval as well.

The only point where the function may fail to be differentiable is at x = 4/3, where the two intervals meet. To check if the function is differentiable at x = 4/3, we need to evaluate the left and right derivatives and see if they are equal.

On the left side of x = 4/3 (i.e., when x < 4/3), the function is given by f(x) = -3x + 4, so its derivative is f'(x) = -3 for all x < 4/3.

On the right side of x = 4/3 (i.e., when x > 4/3), the function is given by f(x) = 3x - 4, so its derivative is f'(x) = 3 for all x > 4/3.

Therefore, the left and right derivatives are not equal at x = 4/3, which means that the function is not differentiable at x = 4/3.

To know more about point refer here:

https://brainly.com/question/30477105#

#SPJ11

For Helen's canvas is 12 in, wide, length of canvas is, 18 inch

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Helen is copying a printed reproduction of the Mona Lisa.

And, The print is 24 in. wide and 36 in tall.

Now,  If Helen's canvas is 12 in, wide, length of canvas = x

Hence, We get;

24 / 36 = 12 / x

x = 12 x 36 / 24

x = 18 inch

Thus, Lenght of canvas is, 18 inch.

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ2

Answer:

568

Step-by-step explanation:

the steps are simple u are an idiot

Answer:

5

6

8

+

2

3

0

2

(

2

8

4

+

1

1

5

)

Solution

2

(

2

8

4

+

1

1

5

)

Step-by-step explanation: