What is the best approximation for the circumference of a circle with a diameter of 300 ft? use 3. 14 to approximate pi.

Answer:

the first option

Step-by-step explanation:

hope this help have a great rest of your night :)❤

The coordinate location of the hill halfway between them is  (1, -1).

Jack's house is located at the point (-2, 3) and Jill's house is located at the point (4, -5).  They plan to meet up at the hill located halfway between there two houses.

The coordinate location of the hill can be calculated as follows:

using mid point formula,

(x, y) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

using the end points (-2, 3) and (4, -5)

(x, y) = (-2 + 4 / 2, 3 - 5 / 2)

(x, y) = (2 / 2. -2 / 2)

(x, y) = (1, -1)

Therefore, the coordinate location of the hill is (1, -1).

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A survey is taken at a movie theater in Wayside. The first 200 people who entered the theater were asked about their favorite type of movie. The true about this situation is: The population is the total number of people who go to the movie theater, and the sample is the first 200 people at the theater.

In this situation, the population refers to the entire group of people who go to the movie theater in Wayside. The population includes all individuals who have the potential to be surveyed about their favorite type of movie.

The sample, on the other hand, is a subset of the population and represents the first 200 people who entered the theater. These 200 individuals are selected to provide information about the preferences of the larger population.

It is important to note that the sample is not the entire population but rather a smaller representative group. By surveying the sample, we aim to gather insights and make inferences about the preferences of the larger population of moviegoers in Wayside.

The correct answer is: The population is the total number of people who go to the movie theater, and the sample is the first 200 people at the theater.

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Answer:

Yes it is linear because the line is straight and constantly declining.

Step-by-step explanation:

Answer:

Yes it is linear

Step-by-step explanation:

Basically the same thing the other one said lol. good luck!

Answer:

Step-by-step explanation:

angle x and y=2x=90-24

2x=66

x=33

angle3=33+24

=57

angle4=33

The number of ways to select 3 pages in ascending index order depends on the total number of pages available.

To find the number of ways to select 3 pages in ascending index order, we can use the concept of combinations . In combinatorics, selecting objects in a specific order is often referred to as permutations. However, since the order does not matter in this case, we need to consider combinations instead.

The number of ways to select 3 pages in ascending index order can be calculated using the combination formula. Since we are selecting from a set of pages, without replacement and order doesn't matter, we can use the formula C(n, k) = n! / (k!  (n-k)!), where n is the total number of pages and k is the number of pages we want to select.

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The statement is true.

If the columns of a square (n x n) matrix A are linearly independent, then the determinant of A is nonzero.

Now consider the matrix A^T, which is the transpose of A. The rows of A^T are the columns of A, and since the columns of A are linearly independent, so are the rows of A^T.

Multiplying A^T by A gives the matrix A^T*A, which is a symmetric matrix. The determinant of A^T*A is the square of the determinant of A, which is nonzero.

Therefore, the columns of A^T*A (which are the rows of A) are linearly independent.

Repeating this process two more times, we have A^T*A*A^T*A*A^T*A = (A^T*A)^3, and the rows of this matrix are also linearly independent.

Therefore, if the columns of a square (n x n) matrix A are linearly independent, so are the rows of A^T, A^T*A, and (A^T*A)^3, which are the transpose of A.

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The expected payout of the game is calculated as E(X) = 164.68

This is the term that is used to refer to the likelihood of an event occurring.

We have to solve for the probability first

The probability of 0

= 1 - the sum of all of the values

= 1 - 0.151 + 0.029 + 0.0007

= 1 - 0.1807

= 0.8193

Next we have to solve for the expected payout

The formula is given as

∑pi * xi

= 0.151 * $180 + 0.029 * $1000 + 0.0007 * 155000 + 0 * 0.8193

= 27.18 + 29 + 108.5 +0

= $164.68

E(X) = 164.68

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The purpose of Lend-Lease was to provide military aid to countries fighting against the Axis powers during set  World War II.

The purpose of Lend-Lease was to provide military aid to countries fighting against the Axis powers during World War II. The program was enacted by the United States in 1941 and allowed the US to provide war materials to its allies without requiring repayment. It was a major factor in the Allied victory, as it allowed the US to supply its allies with much needed war material and resources. The US provided a variety of goods, including food, oil, weapons, and tanks. It also supplied the Soviet Union with millions of tons of military equipment and supplies. Lend-Lease was instrumental in helping the Allies win the war, as it allowed them to gain a huge advantage over the Axis powers by providing essential supplies and resources.

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Answer:

1/8 and 2/1 or 1:8 and 2:1

Step-by-step explanation:

The statement "The polynomials P1 = 2x²+1, P2 = -4x²+x, and P3 = x-2 are linearly dependent" is True. To determine if the polynomials P1, P2, and P3 are linearly dependent, we need to check if there exist constants a, b, and c, not all zero, such that aP1 + bP2 + cP3 = 0.

Let's proceed with the calculations:

aP1 + bP2 + cP3 = a(2x²+1) + b(-4x²+x) + c(x-2)

              = 2ax² + a - 4bx² + bx + cx - 2c

In order for this equation to be satisfied for all values of x, the coefficients of the x², x, and constant terms must all be zero.

Comparing the coefficients, we get the following equations:

2a - 4b = 0       (Coefficient of x² terms)

b + c = 0         (Coefficient of x terms)

a + 2c = 0        (Coefficient of constant terms)

Solving these equations, we find that a = 2b and c = -b. Since there exist non-zero values of a, b, and c that satisfy these equations, the polynomials P1, P2, and P3 are linearly dependent. Therefore, the statement is true.

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We have the following:

therefore, the answer is 260, 240, 240

Answer:

The answer is D.

Step-by-step explanation:

Edge

Answer:

The required linear equation satisfying the given conditions f(-5)=-4 and f(5)=2 is

\($$y=\frac{3}{5} x-1$$\)

Step-by-step explanation:

It is given that f(-5)=-4 and f(5)=2. It is required to find out a linear equation satisfying the conditions f(-5)=-4 and f(5)=2. To find it out, first, represent the given conditions in the form of points and then find the slope of a line passing through these two given points. Then consider one of the points to give the linear equation of the line in the form \($\left(y-y_{2}\right)=m\left(x-x_{2}\right)$\)

Step 1 of 4

Observe, f(-5)=-4 gives the point (5,-4)

And f(5)=2 gives the point (5,2)

This means that the function f(x) satisfies the points (-5,-4) and (5,2).

Step 2 of 4

Now find out the slope of a line passing through the points (-5,-4) and (5,2).

\($$\begin{aligned}m &=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\m &=\frac{2-(-4)}{5-(-5)} \\m &=\frac{2+4}{5+5} \\m &=\frac{6}{10} \\m &=\frac{3}{5}\end{aligned}$$\)

Step 3 of 4

Now use the slope \($m=\frac{3}{5}$\) and use one of the two given points and write the equation in point-slope form:

\($$\left(y-y_{2}\right)=m\left(x-x_{2}\right)$$\\ $$(y-2)=\frac{3}{5}(x-5)$$\)

Distribute \($\frac{3}{5}$\),

\($$\begin{aligned}&y-2=\frac{3}{5} x-\frac{3}{5} \times 5 \\&y-2=\frac{3}{5} x-3\end{aligned}$$\)

Step 4 of 4

This linear function can be written in the slope-intercept form by adding 2 on both sides, \($y-2+2=\frac{3}{5} x-3+2$\)

\($$y=\frac{3}{5} x-1$$\)

So, this is the required linear equation.

22! / 20! × 2!

\(21 \times 11 = 231 \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)

Answer:

first box 9.6 2nd box 7.2 third box 12

Step-by-step explanation:

9.6 is the missing height 12 is the hypotenuse is always last

Answer:

24 gallons of 50% grape juice

Step-by-step explanation:

if you have 1 gallon of 50% grape juice and 1 gallon of 25% grape juice, the resulting combination will be 2 gallons of 75/2% (or 37.5%) grape juice.

I guessed you would need about 1.5 times of the 50 % mixture to make the 25% mixture into 50 %.  I checked, 1.5 times 16 is 24, so I calculated what is the average concentration (24*50 + 16*25)/40, and I got 40 so that guess was correct.

Answer:

-400

Step-by-step explanation:

Age and you can also use weight too

you can easily group people by their age and weight but not by eye color

example

age people

5 - 10 14

10 - 15 5

the table above shows that we have 14 people within the range of 5 to 10 years

and likewise the weight of the people can serve the same purpose

The number of days it would take for a news story to reach 1,500,000 shares include the following: B. 6 days.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

Based on the information provided above, the number of shares this news story can be modeled by the following exponential function;

\(y = 5(7)^x\\\\1500000=5(7)^x\\\\300000=(7)^x\)

By taking the natural log (ln) of both sides of the equation, we have:

Time, x = 6.4 ≈ 6 days.

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Answer:

8 dollars

Step-by-step explanation:

half id eight is four abd plus four is eight

The span of {u, v} represents a plane in three-dimensional space. w is not in the span of {u, v}. the span of {u, v, w} is the entire three-dimensional space.

(a) The span of {u, v} represents a plane in three-dimensional space. Geometrically, this plane can be visualized as a flat surface extending infinitely in all directions. It includes all possible vectors that can be obtained by scaling and adding u and v. Any vector lying on this plane can be expressed as a linear combination of u and v.

(b) To determine if w is in the span of {u, v}, we need to check if w can be expressed as a linear combination of u and v. We can write w as follows:

w = a*u + b*v

Solving the system of equations formed by equating corresponding components, we have:

-2 = 3a - 2b

2 = -a + 2b

6 = -2a - 6b

Solving this system, we find that there are no values of a and b that satisfy all three equations simultaneously. Therefore, w is not in the span of {u, v}.

(c) The span of {u, v, w} is the entire three-dimensional space. To justify this, we consider the matrix A whose columns are u, v, and w:

A = [u v w] = [1 3 -2; -1 1 2; -2 -6 6]

We can row-reduce matrix A to its echelon form:

[1 3 -2; -1 1 2; -2 -6 6] -> [1 3 -2; 0 4 0; 0 0 0]

The echelon form shows that the columns of A are linearly independent, and they span the entire three-dimensional space. Therefore, any vector in three-dimensional space can be expressed as a linear combination of u, v, and w, indicating that the span of {u, v, w} is the entire three-dimensional space.

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Answer:

7

Step-by-step explanation:

42/6=7

The value of the rational expression when x is equal to 4 is 3.

Option C is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To find the value of the rational expression (x + 20)/(x + 4) when x is equal to 4,

We substitute 4 for x in the expression:

(4 + 20)/(4 + 4)

= 24/8

= 3

Therefore,

The value of the rational expression when x is equal to 4 is 3.

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Answer:8:11

Step-by-step explanation:if it’s a ratio it would be 8 to 11 but for the to it would be a ratio operation and equals :

The remainder when N is divided by 1000 is 106.

The Principle of Inclusion-Exclusion, often known as PIE, offers a method/formula for organizing information about the size of each set, the number of elements in the union of a given set of sets, and the size of all potential set intersections.

From the question,

First, we think about all the possible divisions of the 7×1 board. Since we require at least one tile of each color, we exclude the cases of just one or two pieces.

Three pieces = 5+1+1 , 4+2+1 , 4+1+2 etc (6C2) = 15 ways

Four pieces = 6C3 = 20

Five pieces = 6C4 = 15

Six pieces = 6C5 = 6

Seven pieces =6C6 = 1

Now, we apply the Principle of Inclusion-Exclusion to consider how many ways to color them:

Three pieces : 3³ - 3 × 2³ + 3 = 6

Four pieces: 3⁴ - 3 × 2⁴ + 3 = 36

Five  pieces : 3⁵ - 3 × 2⁵ + 3 = 150

Six pieces : 3⁶ - 3 × 2⁶ + 3 = 540

Seven pieces : 3⁷ - 3 × 2⁷ + 3 = 1806

Adding them together, we get

15×6 + 20×36 + 15×150 + 6×540 + 1×1806 = 8106

Hence, the remainder when it is divided by 1000 is 106.

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Answer:

106

Step-by-step explanation: