4-4=3-3 true or false

To determine examples with a net torque of zero about the axis perpendicular to the page and extending from the center of the puck, we need to consider the conditions for torque equilibrium.

Torque is the rotational equivalent of force, and it depends on the force applied and the lever arm distance. To have a net torque of zero, the sum of the torques acting on an object must balance out. In this case, the axis is perpendicular to the page and extends from the center of the puck.

The applied forces must have equal magnitudes but act in opposite directions, creating a balanced couple. Without specific examples provided, it is not possible to determine the scenarios with a net torque of zero. The examples would need to be given in terms of the forces applied, their magnitudes, and the corresponding lever arm distances.

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Answer:

A

Step-by-step explanation:

S = (n - 2)180   (divide by 180 on both sides)

\(\frac{S}{180}\) = n - 2  ( add 2 on each side)

\(\frac{S}{180}\) + 2 = n

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Answer:

x-6>2x

Step-by-step explanation:

Is this what you were looking for?

To find the sum of the vertex angles in various polygons, we need to sketch the polygons and then calculate the sum. For a hexagon, octagon, and dodecagon, the sums of the vertex angles are 720°, 1,080°, and 1,800°, respectively.

a. Hexagon: A hexagon is a polygon with six sides. To find the sum of the vertex angles, we can divide the hexagon into triangles. Since each triangle has an interior angle sum of 180°, the hexagon can be divided into four triangles. Therefore, the sum of the vertex angles in a hexagon is 4 * 180° = 720°.

b. Octagon: An octagon is a polygon with eight sides. Similar to the hexagon, we can divide the octagon into triangles. Dividing it into six triangles, each with an interior angle sum of 180°, the sum of the vertex angles in an octagon is 6 * 180° = 1,080°.

c. Dodecagon: A dodecagon is a polygon with twelve sides. Dividing it into ten triangles, each with an interior angle sum of 180°, the sum of the vertex angles in a dodecagon is 10 * 180° = 1,800°.

Therefore, the sum of the vertex angles in a hexagon is 720°, in an octagon is 1,080°, and in a dodecagon is 1,800°.

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Find the sum of the vertex angles of the following polygons---

a. A hexagon

b. An octagon

c. A dodecagon.

Answer:

No, -19 is not a natural number.

Step-by-step explanation:

A natural number is an integer greater than 0. Natural numbers begin at 1 and increment to infinity: 1, 2, 3, 4, 5, etc. Natural numbers are also called "counting numbers" because they are used for counting.

Answer:

The natural numbers (or counting numbers) are the fundamental mathematical set on which all other arithmetic is based. They do not include negative numbers. (The set of integers provides negative numbers.)

Step-by-step explanation:

hope this helps : )

Answer:

Value of x --> 15°

Step-by-step explanation:

(2x + 60°) and 6x lie on a straight line. So, they form a linear pair. Their sum gives 180°.

---> (2x + 60°) + 6x = 180°

     2x + 60° + 6x = 180°

     8x + 60° = 180°

     8x = 180°- 60°

     8x = 120

      x = \(\frac{120}{8}\)

Answer:

Similar to the question: They figure that they will drive 792 miles round trip. If their car gets 25 miles per gallon and the current cost of gasoline is $2.35, what will the gas for their trip cost? $74.45 George is taking the same trip to San Antonio (792 miles)

Step-by-step explanation:

Hope it helps :)

The total amount of money in the savings account after 3 years will be $1,614.00. This is calculated by multiplying $1500 by 1.04 three times, which equals $1,614.00.

1. 1500 x 1.04 = 1560

2. 1560 x 1.04 = 1624.40

3. 1624.40 x 1.04 = 1683.76

4. 1683.76 rounded to two decimal places = $1,614.00

Annie invests $1500 in a savings account that earns 4% simple interest annually. After 3 years, the amount of money in the savings account can be calculated by multiplying the initial investment of $1500 by 1.04 three times. This results in a total of $1,614.00 in the savings account after 3 years, without any additional deposits or withdrawals. This is because 4% simple interest annually means that the interest earned each year is 4% of the initial investment. This is calculated by multiplying the initial investment by 1.04. The 1.04 is the amount of interest earned which is then added to the initial investment. This process is repeated for 3 years, resulting in the total of $1,614.00.

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Answer:

20mph

Step-by-step explanation:

because when you divide the 280 it goes by 20 mph to get to 280 miles by quarters but in 20s

Answer:

option D

Step-by-step explanation:

Sum of measure of any 2 sides of a triangle should be greater than the measure of third side.

The triangle will not have the sides 1 foot, 3 feet, and 7 feet, as these sides do not satisfy the triangle inequality theorem so, option D is correct.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

The sides of the triangle are, 1 foot, 3 feet, and 7 feet,

We know that the sum of two sides of a triangle is always greater than the third side,

Calculate the sum of sides as shown below,

1 + 3 = 4

Thus, 1 + 3 < 7.

Therefore, these are not the sides of the triangle.

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Answer:

106 cm²

Step-by-step explanation:

the surface area is the sum of the areas of the faces of the prism

area of 2 rectangles (left/ right ) = 2 × 7 × 5 = 70 cm²

area of central rectangle = 3 × 7 = 21 cm²

area of 2 congruent triangles = 2 × \(\frac{1}{2}\) × 3 × 5 = 3 × 5 = 15 cm²

surface area = 70 + 21 + 15 = 106 cm²

The value of delta such that 0 < |x - 2| < delta, then |f(x) - 3| < 0.05 was 0.0125.

Given the function f(x)= x² - 1. We are to find:Sketch the graph of the function. Use the graph to state the domain and the range of the function.Find δ such that if 0<|x - 2|<δ, then |f(x) - 3|<0.2.Find delta such that 0<|x-2|< delta then |f(x) - 3| < 0.05.

Solution: Graph of the function

We can draw the graph of the function f(x) = x² - 1 using different methods. Here, we will use the table method as follows:x-3-2-10123f(x)64-1-2-1When we plot the points we get:From the graph, the domain is the set of all real numbers, (-∞,∞), while the range is the set of all real numbers greater than or equal to -1, [-1, ∞).δ such that if 0<|x - 2|<δ, then |f(x) - 3|<0.2

We need to find a value of δ such that if 0<|x - 2|<δ, then |f(x) - 3|<0.2.We begin by finding the value of f(2):f(x) = x² - 1f(2) = 2² - 1 = 3

We need the difference |f(x) - 3| to be less than 0.2:|f(x) - 3| < 0.2

We can simplify this inequality as follows:-0.2 < f(x) - 3 < 0.2

Add 3 to all sides of the inequality:2.8 < f(x) < 3.2

Since f(x) = x² - 1, the inequality can be expressed as:2.8 < x² - 1 < 3.2

Add 1 to all sides of the inequality:3.8 < x² < 4.2

Take the square root of all sides of the inequality:1.94868 < x < 2.04919

We now need to find the difference |x - 2|:1.94868 < x < 2.04919|x - 2| < 0.04919

The value of δ such that if 0<|x - 2|<δ, then |f(x) - 3|<0.2 is 0.04919.We can proceed to the second part.b. Find delta such that 0 < |x-2| < delta then |f(x) - 3| < 0.05

We need to find a value of delta such that 0 < |x-2| < delta then |f(x) - 3| < 0.05.We have:f(x) = x² - 1

We can find the value of f(2) as follows:f(2) = 2² - 1 = 3

We now need to find the value of δ such that |f(x) - 3| < 0.05. This inequality can be expressed as follows:-0.05 < f(x) - 3 < 0.05

We can simplify this inequality as follows:2.95 < f(x) < 3.05

Substituting the expression for f(x) we get:2.95 < x² - 1 < 3.05

Adding 1 to all sides of the inequality, we get:3.95 < x² < 4.05

Taking the square root of all sides of the inequality we get:1.9875 < x < 2.0125

We now need to find the value of delta such that 0 < |x - 2| < delta. Since x is greater than 2, we can express this as:0 < x - 2 < delta

We can now find the value of delta as follows:0 < x - 2 < delta 1.9875 < x < 2.01252 - 1.9875 < x - 2 < 2 - 2.01250.0125 < x - 2 < 0.0125|x - 2| < 0.0125

The value of delta such that 0 < |x - 2| < delta then |f(x) - 3| < 0.05 is 0.0125.

Conclusion: In this question, we were asked to sketch the graph of the function f(x) = x² - 1, and to use the graph to state the domain and the range of the function. We were also asked to find values of delta such that if certain inequalities were satisfied, then other inequalities involving f(x) would be satisfied. We found that the domain was the set of all real numbers, (-∞,∞), while the range was the set of all real numbers greater than or equal to -1, [-1, ∞). We also found that the value of delta such that if 0 < |x - 2| < delta, then |f(x) - 3| < 0.2 was 0.04919. Finally, we found that the value of delta such that 0 < |x - 2| < delta, then |f(x) - 3| < 0.05 was 0.0125.

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The percentage of the original area of wetlands currently left in the United States is approximately 50%. So, the correct

option is 50% (option 3).

Percentages are a way of expressing a proportion or a fraction as a part of 100. It is denoted by the symbol "%".

According to the United States Environmental Protection Agency (EPA), it is estimated that about 50% of the original

wetlands in the contiguous United States have been lost since the 1600s due to human activities such as agriculture,

development, and urbanization. Therefore, the correct answer to the question is 50%.

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The percentage of the original area of wetlands currently left in the United States is approximately 50%.

Wetlands are regions of land where the soil is continually or intermittently soaked with water. Wetlands have a particular hydrology, soil, and vegetation mix that results in specialised ecosystems that offer a variety of ecological functions.

There are many different types of habitats where wetlands can be found, such as coastal locations, interior regions, and high-altitude mountain regions. They come in a variety of shapes, such as marshes, swamps, bogs, fens, and estuaries, and can be freshwater, brackish, or saline.

Wetlands are significant for several reasons. For species, such as migrating birds, amphibians, and fish, they offer crucial habitats. They also aid in removing contaminants from water, lessen the effects of flooding, and give people access to recreational activities. Wetlands are crucial for carbon sequestration as well.
Based on the information provided, the question is asking for the approximate percentage of the original area of wetlands currently left in the United States. The answer is approximately 50%.

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The mean of the given data is approximately 39.7.

The mean is the mathematical average of a set of two or more numbers. The arithmetic mean and the geometric mean are two types of mean that can be calculated. The formula for calculating the arithmetic mean is to add up the numbers in a set and divide by the total quantity of numbers in the set.

In the given data set, the mean can be calculated as the sum of all the values divided by the number of entity in the data.

mean = {33.2+38.6+41.9+44.0+42.9+36.2+41.7+39.8+43.5+30.5+39.2} / 12

mean = 119 / 3

mean = 39.7

The mean of the data set is calculated as 39.66666 which is approximately 39.7.

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The two consecutive integers are 21 and 22.

Two consecutive integer numbers can be written as x and x + 1.

The lesser of these two numbers is x, and we know that it is 10 more than one-half of the greater integer, then we can write:

x = 10 + (x + 1)/2

Now we can solve that equation for x:

x = 10 + (x + 1)/2

2x = 20 + (x + 1)

2x = 21 + x

x = 21

Then the lesser number is x = 21 and the larger number is x + 1 = 22

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Answer:

29/6

Step-by-step explanation:

1 + -2/3 - -m

1 -2/3 +m

1/3 +m

Let m = 9/2

1/3 + 9/2

Get a common denominator

1/3 *2/2 + 9/2*3/3

2/6 + 27/6

29/6

Answer:

29/6

Step-by-step explanation:

Answer:the last question is 50%

Step-by-step explanation:

i hope you understand

Answer:

1:2

Step-by-step explanation:

she should use 2 by 6

Step-by-step explanation:

2 divided by 6 will give 0.3 in 1d.p

The spherical coordinates of the given point with rectangular coordinates (−1, −3, 23) are (23.437, 7.48°, 71.57°).

The spherical coordinates (ρ, φ, θ) of the point with rectangular coordinates (−1, −3, 23) are explained below: Spherical Coordinates: Spherical coordinates system is defined as the 3D coordinate system in which the position of a point in space is given by three coordinates known as radial distance or radius (ρ), polar angle or inclination angle (θ), and azimuthal angle or azimuth angle (φ).Rectangular Coordinates: In the rectangular coordinate system, a point is located in 3D space based on its position relative to three perpendicular coordinate planes. The three coordinates in this system are known as the x-coordinate, the y-coordinate, and the z-coordinate.Explanation:Given that, the rectangular coordinates of the point are (−1, −3, 23). The formula to find the spherical coordinates from rectangular coordinates is as follows:ρ = sqrt(x² + y² + z²)θ = arctan(sqrt(x² + y²)/z)φ = arctan(y/x)Where, x, y, and z are the rectangular coordinates of the point. Substituting the values in the above formulas, we get;ρ = sqrt((-1)² + (-3)² + 23²)ρ = 23.437 θ = arctan(sqrt((-1)² + (-3)²)/23)θ = arctan(0.13)θ = 7.48°φ = arctan(-3/-1)φ = 71.57°Thus, the spherical coordinates of the given point are (23.437, 7.48°, 71.57°).

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Parallel lines or line segments never intersect.

Here we see that segments AB and ST are parallel.

Perpendicular lines or line segments intersect at a 90 degree angle.

Here we see that KL is perpendicular to IJ.

I hope it helps!

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The linear function for the data in the table are,  

y = f(x) = -2.5x + 6.5,

y = f(x) = -2.5x + 4

y = f(x) = -2.5x + 6

Based on the given function is,

x         0              1                 2             3

f(x)      4              1.5             -1              -3.5

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

From the given table points on linear function,

points are, (0,4) and (1,1.5)

y - \(y_{1}\) = \(\frac{y_{1}- y_{1} }{x_{2} -x_{1} }\) (x-\(x_{1}\))           (Equation-1)

\(x_{1}\) = 0

\(y_{1}\) = 4

\(x_{2}\) = 1

\(y_{2}\) = 1.5

We can substitute values in equation-1,

y - 4 = \(\frac{1.5-4}{1-0}\) (x-1)

y - 4 = -2.5/1 (x-1)

y -4 = -2.5 (x - 1)

y - 4 = -2.5x + 2.5

y = -2.5x + 2.5 + 4

y = -2.5x + 6.5

y = f(x) = -2.5x + 6.5

points are, (1,1.5) and (2,-1)

y - \(y_{1}\) = \(\frac{y_{1}- y_{1} }{x_{2} -x_{1} }\) (x-\(x_{1}\))           (Equation-1)

\(x_{1}\) = 1

\(y_{1}\) = 1.5

\(x_{2}\) = 2

\(y_{2}\) = -1

We can substitute values in equation-1,

y - 1.5 = \(\frac{-1-1.5}{2-1}\) (x-1)

y - 1.5 = -2.5/1 (x-1)

y - 1.5 = -2.5 (x - 1)

y - 1.5 = -2.5x + 2.5

y = -2.5x + 2.5 + 1.5

y = -2.5x + 4

y = f(x) = -2.5x + 4

points are, (2,-1) and (3,-3.5)

y - \(y_{1}\) = \(\frac{y_{1}- y_{1} }{x_{2} -x_{1} }\) (x-\(x_{1}\))           (Equation-1)

\(x_{1}\) = 2

\(y_{1}\) = -1

\(x_{2}\) = 3

\(y_{2}\) = -3.5

We can substitute values in equation-1,

y - (-1) = \(\frac{-3.5-(-1)}{3-2}\) (x-2)

y + 1 = -2.5/1 (x-2)

y + 1 = -2.5 (x - 2)

y + 1 = -2.5x + 5

y = -2.5x + 5 + 1

y = -2.5x + 6

y = f(x) = -2.5x + 6

Therefore,

The linear function for the data in the table are,  

y = f(x) = -2.5x + 6.5,

y = f(x) = -2.5x + 4

y = f(x) = -2.5x + 6

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Carlos can plant 8 bulbs in each row.

Given that, Carlos is having 32 iris bulbs and 40 tulip bulbs he wants to plant them, he chose to plant them in rows with alternate pattern, also wants all of the rows to have the same number of bulbs.

So, we need to find the number of the rows to have the same number of bulbs,

To find the same we will find the GCF of the two number,

GCF = The GCF is also known as the Highest Common Factor (HCF).

Find the GCF of 32, and 40

32 = 2 × 2 × 2 × 2 × 2

40 = 2 × 2 × 2 × 5

The greatest common factor = 2 × 2 × 2 = 8

Hence, he can plant 8 bulbs in each row.

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Answer:

Number of Roses sold = 132

Number of Candy Grams sold = 85

Step-by-step explanation:

Let the number of Roses sold = \(r\)

Let the number of Candy Grams sold = \(c\)

Cost of one Rose = $1.50

Cost of \(x\) Roses = $1.50 \(r\)

Cost of one Candy Gram = $2.00

Cost of \(y\) Candy Grams =  \(\$2.00 \times c\)

Total number of Roses and Candy Grams sold = 217

i.e.

\(r+c=217 ..... (1)\)

Total cost = $368

Writing equation as per question statement:

\(\$1.50r+\$2.00c=\$368 ..... (2)\)

Using elimination method, let us eliminate \(y\) of the two equations.

Multiplying equation (1) with 2 and subtracting equation (2) from it:

\(0.50r=2\times 217 - 368\\\Rightarrow 0.50r=434 - 368\\\Rightarrow 0.50r=66\\\Rightarrow r=132\)

By equation (1):

\(c=217-132\\c=85\)

So, the answer is:

Number of Roses sold = 132

Number of Candy Grams sold = 85

Answer:

gg

Step-by-step explanation:

The probability that she makes no more than 20 of them is 0.394

We use Binomial Distribution in solving this question.

The discrete probability distribution known as the binomial distribution only offers two outcomes for an experiment: success or failure.

Sum of independent Bernoulli trials is binomial distribution; a random Variable x is said to be following binomial distribution if it's density is given as

P(X=x) = (nCx) px (1−p)n−x    where x=0,1,2…n

Let x denotes the number of throws that makes a free throw so here

x follows Binomial distribution with n=28 and p=0.603

Thus, we calculate

P(X≤20) =∑_(k=0)^1▒1= (28Ck)0.603k (1−0.603)28−k =0.3144

=0.394

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The distance from tree 1 to tree 3 is about 205 meters.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let a represent the distance from tree 1 to 2, b from 2 to 3 and c from tree 3 to 1.

Hence:

a + b = 335

Also:

b + c + a = 540

a + b + c = 540

335 + c = 540

c = 205 meters

The distance from tree 1 to tree 3 is about 205 meters.

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You need a score of 72 out of 100 on exam 2 to perform as well as you did on exam 1.

To determine the score you need on exam 2 to perform as well as you did on exam 1, given the mean and standard deviation for exam 2 and the scores for exam 1, you can use the formula for z-scores.

The formula is :z = (X - μ) / σ,

where X is the score you received on exam 1, μ is the mean score for exam 1, and σ is the standard deviation for exam 1.

To find the score you need on exam 2, you can rearrange the formula as follows: X = z * σ + μ, where z is the z-score you calculated for your score on exam 1.

To calculate the z-score for your score on exam 1, you can use the formula: z = (X - μ) / σ = (87 - 79) / 4 = 2.T

o find the score you need on exam 2 to perform as well as you did on exam 1, you can substitute the values you have into the formula:

X = z * σ + μ = 2 * 6 + 60 = 72.

So, you need a score of 72 out of 100 on exam 2 to perform as well as you did on exam 1.

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Answer:

false

true false false false

Step-by-step explanation:

Answer:

1) true

5)false

2)true

Step-by-step explanation:

hope it helps you...