To the nearest hundredth, what is the area of a circle with a radius of 3 units

Suzie's 3-pound bag of apples divided into two equal piles will result in each pile weighing 1.5 pounds. This is a basic arithmetic problem often referred to as equal distribution.

Suzie is dividing a 3-pound bag of apples into two equal piles. This is a simple division problem where the total weight of apples (3 pounds) is distributed equally into two piles. Therefore, we simply divide the total weight by the number of piles.

To calculate the weight of apples in each pile, we divide the total weight (which is 3 lbs) by the number of piles (which is 2). So, 3 lbs ÷ 2 = 1.5 lbs. Each pile would weigh 1.5 lbs.

This type of problem is often referred to as an equal distribution problem in mathematics. It falls under the category of basic arithmetic and is typically taught in lower grades.

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Answer:

Option C.

Step-by-step explanation:

Coordinates of the points C and D are (-4, 3) and (1, 0)

We have to find the distance CD.

Distance CD = [tex]\sqrt{(x-x')^{2}+(y-y')^{2}}[/tex]

CD = [tex]\sqrt{(1+4)^{2}+(0-3)^{2}}[/tex]

     = [tex]\sqrt{25+9}[/tex]

     = [tex]\sqrt{34}[/tex]

     = 5.83 units

Therefore, Option C. distance CD = 5.83 units is the answer.

3 to the 100th power is a very large number with over 47 digits, symbolizing the potential of exponential growth.

The question is asking for the computation of the number 3 raised to the 100th power. In mathematics, exponents are used in expressions such as 'a to the power of n', written as an. Here, 'a' is the base and 'n' is the exponent, indicating how many times 'a' is multiplied by itself.

In our case, we have '3' as the base and '100' as the exponent. However, calculating 3100 directly is quite impractical due to the vast result it produces. However, we do know that it's a very large (over 47 digits!) number which could be useful for illustrating the power of exponential growth in mathematical or scientific contexts.

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The letter r represents the sample correlation coefficient .The Pearson product-moment correlation coefficient, also known as r, R, or Pearson's r, is a measure of the strength and direction of the linear relationship between two variables that is defined as the covariance of the variables divided by the product of their standard deviations.

The sample correlation coefficient value r  is 0 given,so there is  no linear relationship between the 2 variables that is the body temperature and head circumference.

For this case we must find the set of ordered pairs that form an exponential function.

When observing, the last set of ordered pairs is an exponential function of the form:

[tex]y = 3 ^ x[/tex]

For x = 0:

[tex]y = 3 ^ 0 = 1[/tex]

We have the ordered pair:

[tex](x, y): (0, 1)[/tex]

For x = 1:

[tex]y = 3 ^ 1 = 3[/tex]

We have the ordered pair:

[tex](x, y): (1, 3)[/tex]

For x = 2:

[tex]y = 3 ^ 2 = 9[/tex]

We have the ordered pair:

[tex](x, y): (2, 9)[/tex]

For x = 3:

[tex]y = 3 ^ 3 = 27[/tex]

We have the ordered pair:

[tex](x, y): (3, 27)[/tex]

Answer:

The set of ordered pairs that form an exponential function is:

[tex](0, 1), (1, 3), (2, 9), (3, 27)[/tex]

Answer:

D

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

Equilateral Triangle Height = side * square root (3) / 2 =

12 * 0.8660254038 = 10.3923048454

To find the distance the player runs, we have to use pythagorean formula, which is

[tex] a^2 + b^2 = c^2 [/tex]

In the question , value of a is 64 meters and value of b is 100 meters .

Substituting the values of a and b , we will get'

[tex] 64^2 +100^2=c^2
\\
c^2 = 14096
\\
c = 119meters [/tex]

The result of v - w is (5, 5).

To find the result of v - w, we need to subtract the corresponding components of the two vectors. Given v = (6, 3) and w = (1, -2), we subtract their x-components and their y-components separately.

v - w = (6 - 1, 3 - (-2))

Therefore, v - w = (5, 5).

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The answer would be

1. (582.85 - 64)/p Or D

And

2. 64.85 Or A

The expression that would model the amount of money each player would receive if the money is divided equally is y = (518.85/x).

Division is a operation in mathematics which is used to divide a specific number into equal parts of specific magnitude.

Given is Daniel’s tennis team which made $582.85 from running the concession stand at a basketball game. The food and drinks cost the team $64.

Assume that there are [x] players in the team.

Now, the money left after spending on food = 582.85 - 64 = 518.85

Each player, when divided equally, would receive = y = (518.85/x)

Therefore, the expression that would model the amount of money each player would receive if the money is divided equally is y = (518.85/x).

To solve more questions on division, visit the link below-

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The following types of equations have you learned to solve using algebraic methods is Linear.

Quadratic equations involve a variable raised to the power of 2, and algebraic methods like factoring or using the quadratic formula are used for solving.

Exponential equations involve variables in the exponent, and logarithmic methods are employed to solve them.

Radical equations involve roots, and solving them often involves isolating the radical and squaring both sides or other methods based on the root's degree.

Linear equations involve variables raised to the power of 1, and solving them uses standard algebraic techniques like isolating the variable.

Rational equations involve ratios of polynomials and are solved by methods such as clearing denominators and factoring.

The coordinate plane is an essential tool in geometry, allowing for a visual representation of shapes and aiding in geometric proofs, such as the Pythagorean Theorem. It allows abstract geometric concepts to be more concrete and easier to understand.

The coordinate plane is a pivotal instrument in the field of Mathematics for conducting geometric proofs. The coordinate plane enables us to visually represent geometric shapes and articulate the different points, distances, and areas which helps us in proving geometric theorems and statements.

For instance, the Pythagorean Theorem, a fundamental theorem in Geometry can be illustrated efficiently and proven right on the coordinate plane. By placing a right-angled triangle on the coordinate plane, the lengths of the sides can be calculated using the coordinates of the vertices. Then, by applying the theorem, we can demonstrate that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Overall, the coordinate plane provides a graphical representation of the geometric shapes, making the abstract ideas more concrete and easier to understand, thus aiding in geometric proofs.

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