A dressmaker needs to cut 4-inch pieces of ribbon from rolls of ribbon that are 12 feet in length. How many 4-inch pieces can the dressmaker cut from 5 of these rolls of ribbon?

Before you try that problem, answer the question below.

How many inches of ribbon does the dressmaker have, in total?

Answer: There is 4 Hours between 9:30 and 1:30

Answer:

exactly 4 hours

Step-by-step explanation:

A∗ is an algorithm that uses a heuristic function f(n) in its search for a solution. The heuristic function f(n) estimates the distance from node n to the goal.

The estimation should be consistent, meaning that the heuristic should never overestimate the distance, and should be admissible, meaning that it should not overestimate the minimum cost to the goal.  

The A∗ heuristic function uses two types of estimates: heuristic function h(n) which estimates the cost of reaching the goal from node n, and the actual cost g(n) of reaching node n. The cost of a path is the sum of the costs of the nodes on that path. Therefore, f(n) = g(n) + h(n).

A∗ is more effective than greedy best-first because it uses a heuristic function that is both admissible and consistent. Greedy best-first, on the other hand, uses a heuristic function that is only admissible. This means that it may overestimate the cost to the goal, which can cause the algorithm to overlook better solutions.

A∗, on the other hand, uses a heuristic function that is both admissible and consistent. This means that it will never overestimate the cost to the goal, and will always find the optimal solution if one exists.Admissible and consistent are two properties that a heuristic function must have for A∗ to return the minimum-cost solution. Admissible means that the heuristic function never overestimates the actual cost of reaching the goal.

This means that h(n) must be less than or equal to the actual cost of reaching the goal from node n. Consistent means that the estimated cost of reaching the goal from node n is always less than or equal to the estimated cost of reaching any of its successors plus the cost of the transition.

Mathematically, this means that h(n) ≤ h(n') + c(n,n'), where c(n,n') is the cost of the transition from node n to its successor node n'.

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Answer:

210

Step-by-step explanation:

Multiply by the total amount by the decimal equivalent of 70% (0.7) to get your answer.

The Taylor polynomial error bound provides an upper bound on the error between a Taylor polynomial approximation and the actual function value within a given interval.

Specifically, it guarantees that the absolute value of the difference between the actual function value and the Taylor polynomial approximation is no more than the maximum value of the absolute value of the (n+1)th derivative of the function within that interval, multiplied by the maximum distance between the point of approximation and the center of the Taylor series expansion. In other words, the error bound guarantees that the error in using the Taylor polynomial approximation is no larger than a certain value, which can be computed using the given formula.

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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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Finding the six trigonometric functions of θ: Since (-3,3) is a point on the terminal side of θ, we can use the coordinates of this point to determine the values of the trigonometric functions.

Let's label the legs of the right triangle formed as opposite = 3 and adjacent = -3, and use the Pythagorean theorem to find the hypotenuse.

Using Pythagorean theorem: hypotenuse² = opposite² + adjacent²

hypotenuse² = 3² + (-3)²

hypotenuse² = 9 + 9

hypotenuse² = 18

hypotenuse = √18 = 3√2

Now we can calculate the trigonometric functions:

sin θ = opposite/hypotenuse = 3/3√2 = √2/2

cos θ = adjacent/hypotenuse = -3/3√2 = -√2/2

tan θ = opposite/adjacent = 3/-3 = -1

csc θ = 1/sin θ = 2/√2 = √2

sec θ = 1/cos θ = -2/√2 = -√2

cot θ = 1/tan θ = -1/1 = -1

Therefore, the exact values of the six trigonometric functions of θ are:

sin θ = √2/2, cos θ = -√2/2, tan θ = -1, csc θ = √2, sec θ = -√2, cot θ = -1.

Part 2: Finding the remaining trigonometric functions given tan θ and sin θ:

Given that tan θ = and sin θ < 0, we can deduce that θ lies in the third quadrant of the unit circle where both the tangent and sine are negative. In this quadrant, the cosine is positive, while the cosecant, secant, and cotangent can be determined by taking the reciprocals of the corresponding functions in the first quadrant.

Since tan θ = opposite/adjacent = sin θ/cos θ, we have:

sin θ = -1 and cos θ =

Using the Pythagorean identity sin² θ + cos² θ = 1, we can find cos θ:

(-1)² + cos² θ = 1

1 + cos² θ = 1

cos² θ = 0

cos θ = 0

Now we can calculate the remaining trigonometric functions:

csc θ = 1/sin θ = 1/-1 = -1

sec θ = 1/cos θ = 1/0 = undefined

cot θ = 1/tan θ = 1/-1 = -1

Therefore, the exact values of the remaining five trigonometric functions of θ are:

sin θ = -1, cos θ = 0, tan θ = -1, csc θ = -1, sec θ = undefined, cot θ = -1.

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Answer:

the slope or gradient is 8/2=4

The centroid of a triangle is the point where the three medians of the triangle intersect. In this case, the triangle has vertices at (0, 0), (5, 0), and (0, 7).

First, let's calculate the average x-coordinate:
¯x = (0 + 5 + 0) / 3 = 5/3 ≈ 1.67

Next, let's calculate the average y-coordinate:
¯y = (0 + 0 + 7) / 3 = 7/3 ≈ 2.33, the centroid of the triangle with vertices at (0, 0), (5, 0), and (0, 7) is approximately (1.67, 2.33).
In summary, the centroid of the triangle with verticesvertices at (0, 0), (5, 0), and (0, 7) is located at approximately (1.67, 2.33). This point represents the average position of the three vertices and is the intersection point of the medians of the triangle.

The centroid coordinates are found by taking the average of the x-coordinates and the average of the y-coordinates of the three vertices. In this case, we add up the x-coordinates (0 + 5 + 0 = 5) and divide by 3 to get an average of 5/3, which is approximately 1.67. Similarly, we add up the y-coordinates (0 + 0 + 7 = 7) and divide by 3 to get an average of 7/3, which is approximately 2.33. These values represent the x-coordinate (¯x) and the y-coordinate (¯y) of the centroid, respectively. Therefore, the centroid of the triangle is located at approximately (1.67, 2.33).

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Answer:

Step-by-step explanation:

39 + 48 = 87 pounds to start with

87 - 13 = 74 pounds after spilling

74 / 7 = 10 bricks

4 pounds washed out

Answer:

yes

Step-by-step explanation:

The variability in a set of scores can be measured by calculating the standard deviation.

The standard deviation is calculated by taking the square root of the variance, which is the average of the squared differences from the mean.

The formula for calculating the standard deviation is as follows:

σ = √((Σ(x - μ)2) / n)

Where x is each value in the set, μ is the mean, and n is the number of values in the set.

If the standard deviation is small, it means that the scores are more similar and consistently close to the mean. This indicates that the scores are accurately represented by the mean. On the other hand, if the standard deviation is large, it means that the scores are less similar and more consistently close to the mean. This indicates that the scores are not accurately represented by the mean.

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The ordered pair that is the solution of the given system of inequalities is (2, -2)

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,

The inequalities are,

y < -x....(i)

2x+y > 2

y < 2-2x...(ii)

To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =

-x = 2 - 2x

x = 2

y = -2

Therefore, the ordered pair, is (2, -2) {look at the graph attached}

Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)

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Answer:ok thx

Step-by-step explanation:

Answer:

(D) 6yr

Step-by-step explanation:

Answer:

32 batches of mango juice

Step-by-step explanation:

The ratio of ice cream to mixed fruit juice is 4 : 3. Therefore, the ratio of ice cream to mango juice is also 4 : 3 since 45% of the juice is mango juice. This means that for every 4 units of ice cream, there are 3 units of mango juice.

One batch of smoothie requires 4 + 3 = 7 units of the mixture. Therefore, one batch of smoothie requires \(\frac{7}{7}\) = 1 unit of the mixture.

81 litres of mango juice is equivalent to 45% of the total volume of the mixture. Therefore, the total volume of the mixture is:

81 ÷ \(\frac{45}{100}\) = 180 litres

One batch of smoothie requires 5.6 litres of the mixture. Therefore, the maximum number of batches that can be made from 180 litres of the mixture is:

180 ÷ 5.6 = 32.14

Therefore, the maximum number of batches that can be made from 81 litres of mango juice is 32.

The correct model demonstrating the use of base ten blocks for the problem 5 + 7 = ? will show one ten block and two unit blocks, which represents the sum, 12.

To determine which model correctly demonstrates the use of the base ten blocks for the problem 5 + 7 = ?, follow these steps:

Represent the first number, 5, with base ten blocks. Since 5 is less than 10, you will use five unit blocks (each representing one).

Represent the second number, 7, with base ten blocks. Again, since 7 is less than 10, you will use seven unit blocks.

Combine the base ten blocks representing both numbers. In this case, you will have a total of 12 unit blocks (five from the first number and seven from the second number).

Check if any groupings of 10 can be made. Since 12 is greater than 10, you can create a group of 10 unit blocks and have two unit blocks left over.

Represent the combined number using base ten blocks. In this case, you will have one ten block (representing 10) and two unit blocks (representing 2).

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The binomial coefficient represents the number of combinations or ways you can choose y items out of a set of 4.

In this scenario, let's consider y as the number of internship-trained candidates who are hired out of the four selected for the teaching positions.

Since there are a total of eleven candidates, seven of whom have enrolled in paid internships and four in traditional student teaching programs, the probability of selecting an internship-trained candidate is given by the ratio of the number of internship-trained candidates to the total number of candidates.

So, the probability of selecting an internship-trained candidate is:

P(y = 1) = (number of internship-trained candidates) / (total number of candidates)

P(y = 1) = 7 / 11

To find the probability of hiring exactly y internship-trained candidates out of the four selected, you can use the binomial probability formula:

P(y) = (number of ways to choose y internship-trained candidates) * (probability of choosing an internship-trained candidate\()^{(y)\) * (probability of choosing a non-internship-trained candidate\()^{(4-y)\)

\(P(y) = (4 choose y) * (7/11)^{(y)} * (4/11)^{(4-y)\)

This formula allows you to calculate the probability of hiring any number of internship-trained candidates from 0 to 4.

Remember that the number of ways to choose y internship-trained candidates out of 4 is given by the binomial coefficient (4 choose y). The binomial coefficient represents the number of combinations or ways you can choose y items out of a set of 4.

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Answer:

45 bumblebee, 30 star.

Step-by-step explanation:

2:3 = 5

75/5 = 15

15 X 2= 30

15 X 3= 45

Answer:The total probability that a random person has an accident in the given year is

.8×.01+.2×.04=0.016

The portion of that which is explained by careful drivers is .8×.01=.08. Thus the answer is

.8×.01.8×.01+.2×.04=.5

Thus it is equally likely that your accident victim was careful or careless.

Speaking informally, that's because, while it's four times more likely that a randomly selected driver is careful, it is one fourth as likely that a careful driver will have an accident, and the two

Step-by-step explanation:

The denominator remains the same, so multiplying 1/6 by 2 gives 2/6. But we can simplify this fraction further by dividing both the numerator and denominator by their highest common factor, which is 2. This gives us the simplest fraction 1/3 equivalent to 2 copies of 1/6.

To write a fraction for the given statement "2 copies of 1/6 is", we need to multiply the given fraction by 2. When we multiply a fraction by a whole number, we just multiply the numerator by that number. The denominator remains the same, as shown below:2 copies of 1/6= 2 × 1/6= 2/6or, 2/6 is the required fraction for the given statement.

We can simplify this fraction by dividing both the numerator and denominator by their highest common factor, which is 2. This gives us:2/6= 1/3Thus, 1/3 is the simplest fraction equivalent to 2 copies of 1/6. In more than 100 words, we can say that to write a fraction for the given statement "2 copies of 1/6 is", we have multiplied the given fraction by 2. As we know that when we multiply a fraction by a whole number, we just multiply the numerator by that number.

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Answer:

1. 2430 feet

2. 1.8 m/s^2

Step-by-step explanation:

See the attached worksheet.

A time versus speed graph contains a small treasure of mathematical rewards. The area under the graph is equal to the distance travelled. The slope of the line segments represents acceleration.

For total distance: If we break the graph into three sections (2 triangles and a rectangle) we can calculate the areas for each. Each area is the distance travelled for that segment. As shown on the workseet, the total area is 2430 miles, the distance travelled by the train for this question.

The slope of the line in the first 10 seconds is 1.8 meters/sec^2, the acceleration of the train over that period.

Answer: Rs 1469

Step-by-step explanation:

Coat of item = RS 1300

Value added tax = 13%

The price of the item will then be calculated as:

= 1300 + (1300 × 13%)

= 1300 + (1300 × 0.13)

= 1300 + 169

= Rs 1469

Equally likely refers to two or more possible outcomes of a given situation that have the same probability or the same likelihood to occur. For example, if you throw a die, there are six possible outcomes. You could get 1, 2, 3, 4, 5, or 6. These outcomes are equally likely to occur.

Answer:

43/12 or 3 7/12

Step-by-step explanation:

Answer:

3.583333

the three is repeating

Answer:

30%

Step-by-step explanation:

There are 6 shaded squares out of 20 squares. That is the same as 30 out of 100. 30/100=30%

Answer: 30%

Step-by-step explanation:

5*4 is 20.

So that your area.

6/20 converted to percentage: 30%

Therefore , the solution of the given problem of unitary method comes out to be Jeremy has a total of 8.292 kg of trail mix.

The data collected from this nanosection must be multiplied by two in order to complete the task using the unitary technique. In essence, the color portions of both the unit method are either skipped or the indicated entity is set when a wanted item shows. For forty pens, a variable charge of Inr ($1.01) could have been required. It's possible that one country will have total influence over the approach taken to accomplish this.

Here,

Jeremy had 5.902 kg of trail mix at first. He purchased a further 0.890 kg and received an additional 1.5 kg, making the total quantity of trail mix he currently owns:

=> 5.902 + 0.890 + 1.5

=> 8.292 kg

Consequently, Jeremy has a total of 8.292 kg of trail mix.

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Answer:

D (5 , -4)

Step-by-step explanation:

I do not use slope is equal for parallel lines and distance of opposite side of parallelogram is equal to solve, I use a very easy way to identify the 4th vertex.

AB // DC   therefore AE = CF  and BE = DF

For D (x,y)

BE = 2 - (-4) = 6        DF = x - (-1) = x + 1 = 6

x = 5

AE = 2-3 = -1             CF = y - (-3) = y + 3 = -1

y = -4

D (5 , -4)

Answer:

-3

Step-by-step explanation:

f(1)=x-4

x=1

=1-4

=-3