if tano find the oth of school (a) sin(23) Recall sin (20) - 2 sin cos (a) sin (20) = (Type an exact answer, using radicals as needed.)"

Using the spring's force we know that 48.4 lb-ft work is done in stretching the spring from its natural length to 1.1 feet beyond its natural length.

So, F is the 4 lb force required to maintain the spring's stretched position.

The labor of extending a spring is denoted by the formula:

So, calculate:

Therefore, 48.4 lb-ft work is done in stretching the spring from its natural length to 1.1 feet beyond its natural length.

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Answer:

100

Step-by-step explanation:

Answer:

The awnser is -107

Step-by-step explanation:

Answer:

8   =     D

9 = D

10 = D

Step-by-step explanation:

For 8, a straight line is 180 degrees, and if PQS is already x+55, then RQS is also x, so it would be 2x +55 = 180

For 9, surface area is just area of the sides of a shape, so (3*15)*2 + (6*3)*2 + (5*6)*2 which equals 30 +36 + 60, which is 126.

For 10, the volume is the width*length*height, so 4*4*11 = 16*11 = 176, and because there are 6 rectangular prisms, 176*6 which is equal to 1056.

However, in some cases, the default location of the click point may be set by default to the top-left corner of the screen or window, which would correspond to the coordinate (0, 0) in a Cartesian coordinate system.

If no coordinates have been assigned to the cursor, the default location of the click point will depend on the program or application being used. In most cases, the default location will be the center or starting position of the screen or window in which the program is running, which could be any location on the screen. Therefore, none of the options provided is necessarily correct.

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The 1-tree lower bound is a valid lower bound on the solution to the Traveling Salesman Problem (TSP) because it provides a lower limit on the optimal solution's cost.

To understand why the 1-tree lower bound is valid, let's consider the definition of the TSP. In the TSP, we are given a complete graph with vertices representing cities and edges representing the distances between the cities. The goal is to find the shortest Hamiltonian cycle that visits each city exactly once and returns to the starting city.

In the context of the 1-tree lower bound, we start with a given vertex v and compute a minimum spanning tree (MST) T on the graph G excluding the vertex v. An MST is a tree that spans all the vertices with the minimum total edge weight. It ensures that we have a connected subgraph that visits each vertex exactly once.

Adding the two shortest edges from v to T creates a 1-tree. This 1-tree connects the vertex v to the MST T. By construction, the 1-tree includes all the vertices of the original graph G and has a total weight that is at least as large as the weight of the optimal solution.

Now, let's consider the Hamiltonian cycle of the TSP. Any Hamiltonian cycle must contain an edge that connects the vertex v to the MST T because we need to return to the starting vertex after visiting all other cities. Therefore, the optimal solution must have a cost that is at least as large as the cost of the 1-tree.

By using the 1-tree lower bound, we have effectively obtained a lower limit on the optimal solution's cost. If we find a better solution with a smaller cost, it means that the 1-tree lower bound was not tight for that particular instance of the TSP.

In summary, the 1-tree lower bound is a valid lower bound on the TSP because it constructs a subgraph that includes all the vertices and has a cost that is at least as large as the optimal solution. It provides a useful estimate for evaluating the quality of potential solutions and can guide the search for an optimal solution in solving the TSP.

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The expression to find the value of x is x = √(w + z)² - v².

A right angle triangle is a triangle that has one angle as 90 degrees. The

sum of angles in a triangle is 180 degrees.

Therefore, the expression to find x can be done using Pythagoras's theorem as follows:

c²= a² + b²

where

Therefore, the expression to find x is as follows:

x² = (w + z)² - v²

square root both sides

Therefore,

x = √(w + z)² - v²

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Answer: Volume of the cone = 47.12 cubic feet.

Step-by-step explanation:

You didn't finish the question so Idid the best with what I had, you also didn't include the image that I think was supposed to be included.

To solve for the full volume including the cylinder, use the cylinder's volume formula.

Volume of a cylinder = height (pi) (r^2) and then add it to the 47.12.

Volume of a cone is pi(r^2)(h/3)

plug and chug!

h stands for height and r stands for radius.

Answer:

1/18

Step-by-step explanation:

Since x=2/3, we can plug in 2/3 for x, and we have 2/3 divided by 12.

Based on what we know about fractions, we can say that dividing by 12 is the same as multiplying by 1/12.

Therefore, we have the expression 2/3*1/12.

Next, we get 2/36, which can be simplified into 1/18.

Answer:

I think it could be 13 percent srry if am wong.

Step-by-step explanation:

Answer:

Their graphs are reflections in the line y=x

Step-by-step explanation:

Please remember if two functions are inverse to each other then they are reflected over y=x line.

So, we can say their graphs are reflections in the line y=x

Answer:

F(0.7) =26

Step-by-step explanation:

A square piece of cardboard with side length of 34 inches is needed to make the box.

Let the side of the square piece of cardboard be x inches.

After cutting out 7 inch squares from each corner, the dimensions of the base of the box will be (x-14) inches by (x-14) inches, and the height of the box will be 7 inches.

The volume of the box can be expressed as:

V = (x-14\()^2\)\(\times\)7

We know that the box is to hold 2800 in3, so we can set up an equation:

(x-14\()^2\)\(\times\) 7 = 2800

Simplifying and solving for x, we get:

(x-14\()^2\) = 400

x-14 = ±20

x = 34 or x = 6

Since the cardboard cannot have a side length of less than 7+7=14 inches, the only valid solution is x=34 inches.

Therefore, a square piece of cardboard with side length of 34 inches is needed to make the box.

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The correct answer is that all the options are correct. Therefore option E is the correct option which states that all these answers are correct.

During the 1950s in the United States, married women who worked outside the home faced social pressures to stay at home with their children, but despite these pressures, the number of married women working outside the home increased throughout the decade. By the end of the 1950s, married women who worked outside the home accounted for nearly one-third of all married women.

It is worth mentioning that during that time, there were many societal expectations that women should be homemakers, and it was not as common for married women to work outside the home as it is today. Additionally, discrimination, lack of opportunities and lower wages for women further decreased the number of working women. However, during the 50s women started to participate more in the workforce, and that trend continued to increase in the following decades.

Therefore, The correct answer is that all the options are correct. Therefore option E is the correct option which states that all these answers are correct.

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Answer:

\( v =\frac{x}{t}\)

Where x represent the distance and t the time if we replace the info given we got:

\( v = \frac{200m}{54 s} =3.704 \frac{m}{s}\)

Then the average speed for this case in m/s is 3.704 for the 200 meter race

Step-by-step explanation:

The problem provides for this case the amount of distance travelled by Jessica in a given time. And we know that travels 200m in 54 seconds.

We want to find the average speed and we can use the following formula:

\( v =\frac{x}{t}\)

Where x represent the distance and t the time if we replace the info given we got:

\( v = \frac{200m}{54 s} =3.704 \frac{m}{s}\)

Then the average speed for this case in m/s is 3.704 for the 200 meter race

Answer:

i think 69

Step-by-step explanation:

Answer:

36

8 times 9 equals 72 and then you just divide that by two and it would be 36

Answer:

y > 19x - 2

Step-by-Step Explanation:

Slope-intercept form is y = mx + b. In this case it is y > mx + b.

2 is our b and 19x is our mx.

We need to put the y on one side and the other terms on the other side of greater than sign. When we switch which term the side is on, we have to change the operation. If it is a negative number it turns positive and vice-versa. Our y can't be negative so we need to put it on the right side to change it to a positive.

19x > y + 2

Now we need to get the 2 on the same side as the 19x. So we bring it to the other side and switch the operation.

19x - 2 > y

Now we are just going to flip both sides to get the y on the left and the 19x - 2 on the right.

y > 19x - 2

I hope thay made sense.

Answer:

\( {b}^{28} \)

Step-by-step explanation:

\( { \bigg( \frac{ {b}^{19} }{ {b}^{12} } } \bigg)^{4} \\ \\ = { \bigg( { {b}^{19 - 12} }} \bigg)^{4} \\ \\ = { \bigg( { {b}^{7} }} \bigg)^{4} \\ \\ = {b}^{7 \times 4} \\ \\ = {b}^{28} \)

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

On solving the provide outlier question, we can say that The difference between the upper and lower fourth makes up the fourth outlier (h) = 73.7 - 22.2 = 51.5

Outliers are data points that deviate from the distribution's typical pattern. a value that is "outside" of the record's typical range (either significantly lower or substantially greater). For instance, both 3 and 85 are "outliers" when the scores are 25, 29, 3, 32, 85, 33, 27, 28, etc. Move away. Look for values that are significantly larger or significantly smaller than all other values to identify outliers. Because it is significantly smaller range than all other values, Value 4 is an outlier. An observation that differs unusually from other values in a population sample taken at random is referred to as an outlier.

Here,

a) The data values should now be sorted from smallest to largest:

22.2 40.4 16.4 73.7 36.6 109.9

b) The sorted data set's median is its middle value. The median is the sixth data value in the sorted data set because there are 11 data values total:

m = 36.6

c) The median of the data values below the median, or at 25% of the data, is in the lower fourth.

The lower fourth is the third data value because there are 5 data values below the median.

d) The data value 6 + 3 = 9 represents the third quartile.

Q{3} 73.7

The difference between the upper and lower fourth makes up the fourth outlier (h):

73.7 - 22.2

51.5

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Integers greater than 0 are positive number.

What is rational number?

A rational number could be a number that may be expressed as the quotient or fraction p/q of 2 integers, a dividend p and a non-zero divisor letter.

Main body:

The definition of positive integers in math states that "Integers that are larger than zero are positive integers". Integers may be classified into 3 types: negative integers, zero, and positive integers. examine the quantity line given below to know the position and worth of positive integers.

1 is that the smallest positive whole number and therefore the greatest positive whole number isn't referred to as the list is endless.

Therefore the definition of positive integer is such as.

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Answer:

\(x =0\) and \(x=10\)

Step-by-step explanation:

Answer:

I'm terrible at explaining so here's a screenshot

- Ripper

Step-by-step explanation:

The directional derivative of f at the point (3,2) in the direction of v = (-2,3) is 18/sqrt(13), which is approximately equal to 4.96.

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Step-by-step explanation:

Number 1

For parallelism.....

gradient of the two lines is the same

y = 3/2x -4

y = mx + C

m = 3/2

(-1, 0) = (x1, y1)

y - y1 = m(x - x1)

y - 0 = 3/2[x - (-1)]

y = 3/2(x + 1)

2y = 3x + 3

y = 3/2x + 3/2

Option A

Number 2

For parallelism.....

gradient of the two lines is the same

y = -½x + 2

y = mx + c

m = -½

(-2, -1) = (x1, y1)

y - y1 = m(x - x1)

y - (-1) = -½[x - (-2)]

y + 1 = -½(x + 2)

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

2y + 2 = -x - 2

2y = -x - 2 - 2

2y = -x - 4

y = -½x - 2

Option A

Number 3

For perpendicularity... m1 × m2 = -1

y = 4/3x - 5

y = mx + c

m1 = 4/3

m2 = -1/m1

m2 = -1/(4/3)

m2 = -3/4

(3, -1) = (x1, y1)

y - y1 = m2(x - x1)

y - (-1) = -¾(x - 3)

y + 1 = -¾(x - 3)

4(y + 1) = -3(x - 3)

4y + 4 = -3x + 9

4y = -3x + 9 - 4

4y = -3x + 5

y = -¾x + 5/4

Option A

Number 4

For perpendicularity... m1 × m2 = -1

y = -5x + 5

y = mx + c

m1 = -5

m2 = -1/m1

m2 = -1/-5

m2 = ⅕

(5, 4) = (x1, y1)

y - y1 = m(x - x1)

y - 4 = ⅕(x - 5)

5(y - 4) = x - 5

5y - 20 = x - 5

5y = x - 5 + 20

5y = x + 15

y = ⅕x + 15/5

y = ⅕x + 3

Option C

Number of cups of flour required to make the same recipe for 3 cups of almond as per the given relation is equal to 7.5 cups of flour.

As given in the question,

For the given recipe cups of flour and cups of almond given is :

2 cups of almond used for 5 cups of flour

The relation is written in the form of expression :

2 cups of almond = 5 cups of flour

⇒ 1 cups of almond = ( 5 / 2 ) cups of flour

⇒ 3 cups of almond =  [ ( 5 / 2 ) × 3 ] cups of flour

⇒ 3 cups of almond =  ( 15 / 2 ) cups of flour

⇒ 3 cups of almond = 7.5 cups of flour

Therefore, the cups of flour required for 3 cups of almond is equal to 7.5 cups of flour.

The above question is incomplete , the complete question is :

A recipe call for 2 cup of almond for 5 cup of flour. Using the same recipe, how many cup of flour will you need for 3 cup of almond?

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Therefore, approximately 239,000,000 pages would be needed to stack them and reach the moon.

To determine the height of the stack of paper in kilometers, we need to convert the thickness of a single sheet of paper from millimeters to kilometers, and then multiply it by the number of sheets used by an office employee.

First, let's convert the thickness of a single sheet from millimeters to kilometers:

0.1 mm = 0.1 mm * (1 m / 1000 mm) * (1 km / 1000 m)

Converting the units:

0.1 mm = 0.0000001 km

Next, we can calculate the height of the stack in kilometers:

Height of stack = Thickness of a single sheet * Number of sheets used

Height of stack = 0.0000001 km * 10,000 sheets

Calculating the value:

Height of stack = 0.001 km

Therefore, the stack of paper would be 0.001 kilometers tall.

To determine the number of pages needed to reach the moon, we need to calculate the distance in kilometers and then divide it by the height of the stack.

Number of pages = Distance to the moon / Height of stack

Number of pages = 239,000 km / 0.001 km

Calculating the value:

Number of pages ≈ 239,000,000

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Answer: 18 times

Step-by-step explanation:

Mika has 2 counters.

Sophia has 36 counters.

To find out how many times the number of counters Mika is holding that Sophia has, divide Sophia's counters by Mika's counters:

= 36 / 2

= 18 times

Sophia has 18 times the number of counters that Mika has which is why when you multiply the number of Mika counters by 18, you will get the number of counters that Sophia has.