Another glacier moved a bould that weighed 2 tons.
How many pounds did the boulder weigh?

The four step to graphing the linear inequalities are: Always begin by separating the variable y from the inequality's left side, Replace the inequality symbol with the equality symbol, In XY plane, graph the boundary line from step 2, The final step is to shade a portion or one side of the border line.

In the given question we have to explain the 4 steps in graphing linear inequalities.

Step 1: Always begin by separating the variable y from the inequality's left side.

Step 2: Replace the inequality symbol with the equality symbol.

Step 3: In XY plane, graph the boundary line from step 2.

Step 4: The final step is to shade a portion or one side of the border line.

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Answer:

2

Step-by-step explanation:

Answer:

The answer tot he question provided is 25.

Considering the provided information and that the volume of a cuboid is the result of multiplying the width by the length by the height, we obtain the following:

Volume of a cuboid= Width * Length * Height

Volume of a cuboid= 3.4cm * 6.2cm * 5cm

Volume of a cuboid= 105.4 cm³

Finally we obtain that the volume of the cuboid is 105.4 cm³

Grantly must place the chairs close enough so that people can easily speak with one another

Grantly is designing a sitting area that will be located outside of his client's master bedroom. He intends to furnish the area with a few rugs, an end table, and chairs.  The seats should be spaced apart just enough to allow for easy conversation while seated, but not too much that it seems crowded. For easy access, end table should be positioned close to the seats. The placement of rugs should be such that they both define seating area and add to overall attractiveness of the space.

To make sure that chairs, end table, and rugs fit properly without giving area a claustrophobic feeling, Grantly should take measurements of the available space in the sitting room. He should also consider how the master bedroom is organised as well as any existing furnishings or fixtures that could have an impact on how the sitting room furniture is arranged. Additionally, seating should be set up so that conversing with one another while seated is simple. Conversation can be facilitated and a cosy environment can be created by positioning chairs in a circula configuration, facing one another.

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a. John's indifference map would show a preference for combinations of eggs and toast where the ratio of toast to eggs is 3:2.

b. Xi's indifference map would show an equal preference for different combinations of bread and chocolate, as she is neutral about bread but views chocolate as a good.

c. Ramesti's indifference map would show perfect substitution between tickets to the opera and baseball games, indicating that he is equally satisfied with either option.

d. Ahmad's indifference map would show a diminishing marginal utility for chocolate bars, where his satisfaction decreases after consuming a certain number of chocolate bars in a day.

which is because:

John's indifference map would consist of curves or lines that represent combinations of eggs and toast where the ratio of toast to eggs is 3:2. Each curve or line represents a different level of satisfaction or utility for John. As he moves further away from his preferred ratio of 3:2, his satisfaction decreases.

Xi's indifference map would show straight lines or curves that represent combinations of bread and chocolate where she is indifferent between different combinations. Since she views chocolate as good and is neutral about bread, the lines or curves would be parallel to the chocolate axis, indicating that she values chocolate more than bread.

Ramesti's indifference map would consist of straight lines that represent perfect substitution between tickets to the opera and baseball games. Any combination of tickets along a line would provide the same level of satisfaction for Ramesti, indicating that he is willing to trade one ticket for the other at a constant rate.

Ahmad's indifference map would show a downward-sloping curve that represents diminishing marginal utility for chocolate bars. As he consumes more chocolate bars in a day, the curve would become flatter, indicating that the additional satisfaction he derives from each additional chocolate bar decreases. This reflects his dislike for chocolates after consuming a certain quantity.

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For an a normally distributed the length of a pregnancy, with mean of 280 days and a standard deviation of 13 days,

a) the probability that he was NOT the father is equals to the 0.9762.

b) The probability that he could be the father is equals the 0.0238.

We have an expert witness for a paternity lawsuit testifies that the length of a pregnancy is normally distributed. Let variable X has normal distribution, Mean, μ = 280 days

standard deviations, σ = 13 days

An alleged father was out of the country from 240 to 306 days before the birth of the child. So, the variable value varies X < 240 or X> 306. Using Z-Score formula for normal distribution,

\(z= \frac{x -μ}{σ}\)

For x = 240

=> z =( 240 - 280)/13

= -40/13 = - 3.07

For x = 306

=> z = (306 - 280)/13

= 26/13 = 2

a) Probability that he not be the father , P ( 240< x < 306) or P(E)

= \( P ( \frac{240 - 280}{13 }< \frac{x - \mu}{\sigma} < \frac{306 - 280}{13})\)

= P (- 3.07 < z < 2 )

= P( x< 2) - P(z< - 3.07)

Using the normal distribution table value of probabilities for z < 2 and z< - 3.07 are determined, = 0.9762

= P(240<x <306)

b) Probability that he could be the father,

\(P( \bar E) \) = 1 - P(E)

= 1 - 0.9762

= 0.0238

Hence, required value is 0.0238.

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Answer:

he can run \(13\frac{7}{16}\) in an hour

Step-by-step explanation:

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Fred can run 515/4 laps in one hour.we'll set up a proportion to solve for the number of laps in one hour.

You want to find out how many laps Fred can run in one hour, given that he can run 103/4 laps in 4/5 of an hour. Here's a step-by-step explanation:
First, we'll set up a proportion to solve for the number of laps in one hour. Let "x" represent the number of laps Fred can run in one hour. Our proportion will look like this:
(103/4 laps) / (4/5 hour) = (x laps) / (1 hour)
Next, we'll cross-multiply to solve for x:
(103/4 laps) * (1 hour) = (4/5 hour) * (x laps)
Multiply both sides of the equation:
103/4 * 1 = 4/5 * x
Now, simplify the equation:
103/4 = (4/5)x
To isolate x, multiply both sides of the equation by the reciprocal of 4/5, which is 5/4:
(5/4) * (103/4) = (5/4) * (4/5)x
Simplify and solve for x:
(5 * 103) / 4 = x
515 / 4 = x
So, Fred can run 515/4 laps in one hour.
In conclusion, Fred can run 515/4 laps in one hour.

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Answer:

Step-by-step explanation:

Q = F(K,L) = 3K+2L.

By solving a simple linear equation, we conclude that the value of x is x = 15

In this case, we can see that the two angles whose measure depends on x are adjacent angles, thus, these are supplementary angles. This means that their measures add up to 180°.

Then we can write the linear equation:

6x - 5 + 6x + 5 = 180

And now we can solve this for x:

6x - 5 + 6x + 5 = 180

12x = 180

x = 180/12 = 15

The value of x is 15.

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Answer:

D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)

Step-by-step explanation:

hope this helps

Answer:  D has the largest perimeter

Step-by-step explanation:

The top numbers of fractions describe the vertex and  the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.

A.

P = 2(11) + 2(3)

P = 22+6

P=28

B.

P = 2(4) + 2(9)

p = 8 +18

P = 26

C.

P = 2(5) + 2(9)

P = 10 +18

P = 28

D.

P =  2(8) + 2(7)

P = 16 +14

P = 30

Intellectual property is a crucial aspect of many contractual agreements, and patent registration is an important indicator of a country's innovation and competitiveness in the global market. The correct option is C. U.K.

According to the information presented in the lecture, the top three countries in patent registration as of 2017 are the United States, Japan, and China. These three countries account for the majority of patent filings globally and are known for their strong research and development capabilities.


It is worth noting that patent registration is not the only indicator of a country's intellectual property capabilities. Other factors such as copyright, trademarks, and trade secrets also play a crucial role in protecting and promoting innovation. Additionally, countries may have different approaches to intellectual property protection, with some emphasizing strong enforcement and others favoring more flexible regimes.

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When the spring is stretched and the distance from point a to point b is 5.3 feet, the value of θ is 53.13  degrees

The distance between point a to point b = 5.3 feet

The length of the top side = 3 feet

Therefore, it will form a right triangle

Here we have to use trigonometric function

Here adjacent side and the hypotenuse of the triangle is given

The trigonometric function that suitable for the given conditions is

cos θ = Adjacent side / Hypotenuse

Substitute the values in the equation

cos θ = 3 / 5

θ = cos^-1(3 / 5)

θ = cos^-1(0.6)

θ = 53.13 degrees

Therefore, the value of θ is 53.13  degrees

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The graph showing the plotted points are attached accordingly.

In discrete mathematics, and more   particularly in graph theory, a graph is a structure consisting of a set of objects, some of which are "related" in some way.

The items  correspond to mathematical  abstractions known as vertices, and each pair of connected vertices  is known as an edge  

To plot and label the lines y = 1,   y = - 3, x = 2, and x = -4, we can create a simple coordinate system and mark the corresponding points.

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Answer:

x = 2

Step-by-step explanation:

Use distributive property:

3(2x+4) = 24

3*2x + 3*4 = 24

6x+12 = 24

6x = 12

x = 2

Answer:

3x

Step-by-step explanation:

6 + 3(x-2)

6 + (3x -6)

6 + 3x -6

6-6 + 3x

3x

Answer: 3x

Step-by-step explanation: distribute 6 + 3(x - 2)

                                                               6 + 3x - 6

subtract the numbers 6 + 3x - 6 = 3x

Answer:200 minutes

Step-by-step explanation:

1 minute = 60 seconds.

6/3 = 2 (20 seconds) 1 photo every 20 seconds.

600x20 = 12000. seconds.

12000/60 = 200 (200 minutes)

Answer:

200 photos

Step-by-step explanation:

1 min = 3 photos

X min = 600 photos

3 X = 600

X = 600/3

X = 200

The private spilled 0.35 litres of fuel

The first step is to convert 6.5 hectolitres to litres

= 6.5 × 100

= 650 litres

Next is to convert millilitres to litres

= 350/1000

= 0.35 litres

Hence the number of litres spilled is 0.35 litres

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1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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Answer:

12.5 units^2

Step-by-step explanation:

The shape is a trapezoid

The area of a trapezoid is given by

A = 1/2 ( b1+b2)h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 2.5+ 7.5) 2.5

A = 1/2 ( 10)2.5

A = 12.5 units^2

Answer:

12.5 units^2

Step-by-step explanation: Big Brain

Answer:

D

Step-by-step explanation:

Let's call the original diameter x. Then, the circumference would be xπ. If the diameter is 2x, the circumference is 2xπ. 2xπ / xπ = 2 so the answer is D.

Answer:

D. 2 times the circumference of the original circle

Step-by-step explanation:

The circumference of a circle is represented by the formula C = 2(r)pi (where is r is the radius), which can also be written as C = (d)pi, where d is the diameter, (since 2r is equivalent to d). If the diameter is doubled, the original equation can be rewritten as C = 2(d)pi. Therefore, the circumference of the new circle is double the original circle.

You can plug in a sample number to further prove this point. Pretend r = 3 so d = 6. C = 6pi. Now when the diameter is doubled, d = 12 and C = 12pi which is double 6pi.

So the answer is D. 2 times the circumference of the original circle  

Answer:

We know blend A costs 5.50 and blend B costs 4.30. We know that Pablo made 153 pounds of coffee this month. Let's let A=amount of blend A used and B=amount of blend B used. Since he made 153lbs coffee, we know that

A+B=153.

But he spent 756.30. The total amount he spent on a blend of coffee is the price * amount used. So he spent 5.50*A on blend A and 4.30*B on B, so in total, he spent 5.50*A+4.30*B in coffee. But this must add to 756.30! So

5.5A+4.3B = 756.30

Now we have two equations:

A+B = 153

5.5A + 4.3B = 756.30

We need to solve for B. I hate decimals so let's get rid of them in the second equation by multiplying both sides of the equation by 100 (which simply moves the decimals on everything two to the right). So now we have

A+B = 153

550A + 430 B = 75630

Now let's multiply the first equation by 550 (so we can eventually get rid of pesky A). So multiply the left and right side of the first equation by 550, so we have

550A + 550B = 84150

550A + 430B = 75630

Now subtract the second equation from the first, notice that since both have 550A, they cancel, so we obtain

120B = 8520

Now divide by 120 into both sides to solve for B, we get

B= 8520/120 = 71

So Pablo used 71lbs of blend B.

Step-by-step explanation:

Hope this helps you!!!!! :D

Answer:

I think it's consistent

Step-by-step explanation:

The error is when h is some value, the error will be when h/2.

The error of a third-order accurate numerical differentiation method scales with the fourth power of the step size, i.e. if the step size is halved, the error will decrease by a factor of 2⁴=16. So if the error is when h is some value, the error will be when h/2.

The error in numerical differentiation methods can be approximated using Taylor series expansions. For a third-order accurate method, the error term in the Taylor series would be proportional to h⁴. Hence, reducing the step size by a factor of two would reduce the error by a factor of 2⁴ = 16. This relationship between step size and error holds for small step sizes. For larger step sizes, the error may not decrease in such a simple manner and other factors such as the smoothness of the function being differentiated and the presence of singularities or discontinuities may come into play.

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Answer:

1/42

Step-by-step explanation:

Adding a negative is the same as subtracting a positive.

6/7 + (-5/6) =

= 6/7 - 5/6

Now you need a common denominator. The LCD of 6 and 7 is 42.

= 36/42 - 35/42

= 1/42

Therefore, integrate the norm of the curve's tangent vector over a specified interval. An example curve could be y = x^2, with the arc length calculated by integrating the square root of 1 + (2x)^2 over a given interval.

A line integral can determine the arc length of a curve c by integrating the norm of the curve's tangent vector over a specified interval. The formula for arc length is given by the integral of the middle of the curve's derivative with respect to its parameter. This involves taking the square root of the sum of the squares of the components of the derivative and integrating this result over the interval of interest. An example of a curve that is not part of a circle could be the curve defined by the equation y = x^2. To calculate its arc length, we would first need to find its derivative, which is y' = 2x. Then, we would integrate the square root of 1 + (2x)^2 over the interval of interest, such as from x = 0 to x = 2.

Therefore, integrate the norm of the curve's tangent vector over a specified interval. An example curve could be y = x^2, with the arc length calculated by integrating the square root of 1 + (2x)^2 over a given interval.

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Answer:

False

Step-by-step explanation:

The sequential search algorithm is very simple to implement. It scans all the elements in the array starting at the first element, examining each element in turn and stopping when it finds a match

However, it is very inefficient since you are comparing  all the elements prior to the given element

This could be very time consuming for large data arrays

False The sequential search algorithm is simple and most efficient to use with a large data array.

False. While the sequential search algorithm is simple to implement and understand, it is not the most efficient method for searching large data arrays. The sequential search algorithm checks each element in the array one by one until it finds the desired value, resulting in an average case-time complexity of O(n). In comparison, other search algorithms, such as the binary search algorithm, offer better efficiency, particularly when dealing with large datasets. The binary search algorithm, for instance, has a time complexity of O(log n), making it significantly faster for large data arrays.

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