Write, and show on a number line, the set of all the numbers that are:

greater than (−3) and less than 3.

The rate at which the distance between the two ships is changing is approximately 18.86 knots at 4pm.

To find the rate at which the distance between the two ships is changing, we can use the concept of relative velocity. Let's consider ship A as the reference point. The velocity of ship A relative to the Earth is given as 23 knots due west, and the velocity of ship B relative to the Earth is given as 17 knots due north. The velocity of ship B relative to ship A can be found by subtracting the velocities.

Using the Pythagorean theorem, we can find the magnitude of the velocity of ship B relative to ship A. This magnitude represents the rate at which the distance between the ships is changing. Therefore, at 4 pm, the distance between the ships is changing at a rate of approximately 18.86 knots.

Answer:

A IS YOUR ANSWER DONT EVEN BOTHER TO DOUBLE CHECK ON EGDE

Step-by-step explanation:

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Answer: I'm pretty sure it is PQ = sqrt [(-3-2)^2 + (1-2)^2] = sqrt 26 = 5.1

Step-by-step explanation:

1. First, you must apply the formula for calculate the sum of the interior angles of a regular polygon, which is shown below:

 (n-2) × 180°

 "n" is the number of sides of the polygon (n=5).

 2. Then, the sum of the interior angles of the pentagon, is:

 (5-2)x180°=540°

 3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:

 α+α+2α+2α+2α=540°

 8α=540°

 α=540°/8

 α=67.5°

 4. Finally, the larger angle is:

 2α=2(67.5°)=135°

 5. Therefore, the answer is: 135°

If x is the measure in degrees of each of the acute angles, then each of the larger angles measures 2x degrees. Since the number of degrees in the sum of the interior angles of an n-gon is 180(n-2), we have

x+x+2x+2x+2x=540 ⇒ 8x = 540 ⇒ x=135/2.

The large angles each measure 2x=135 degrees.

Answer:

120 Acres

Step-by-step explanation:

We want to find the total amount of acres that a farmer has given that we know how many acres are in a percentage of his farm.

The farmer has 120 acres in total.

We know that the 60% of the farmer crops is equivalent to 72 acres.

Now we want to find the 100%.

Then we write two equations:

100% = X

60% = 72 acres

Now we want to solve this for X.

To do it, we first take the quotient between the two equations:

100%/60% = X/(72 acres)

Now we solve this for X:

(100%/60%)*(72 acres) = X = 120 acres.

The farmer has 120 acres in total.

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Answer: y=3x+6

Step-by-step explanation: use y=mx+c

Answer: Walking distance is [tex]7\frac{2}{10}\ miles[/tex]

Step-by-step explanation:

Since we have given that

Walking distance from the Empire State Building in New York City to Times Square = [tex]\frac{9}{10}\ mile[/tex]

According to question, the walking distance from the Empire State Building into Sues Hotel is 8 times as far.

So, Walking distance from the Empire State Building into Sues Hotel is given by

[tex]8\times \frac{9}{10}\\\\=\frac{72}{10}\\\\=7\frac{2}{10}\ miles[/tex]

Hence, Walking distance is [tex]7\frac{2}{10}\ miles[/tex]

Final answer:

To find the coordinates of point P2 when given the midpoint M(-1, 5) and point P1(-4, 6), we use the midpoint formulas, resulting in P2 having the coordinates (2, 4).

Explanation:

The midpoint of a line segment is the point that is exactly halfway between the endpoints of the line segment. By definition, the midpoint M(x, y) can be found using the endpoints P1(x1, y1) and P2(x2, y2) with the formulas:

To find P2, we solve for x2 and y2 using the midpoint M(-1, 5) and the given point P1(-4, 6):

Therefore, the coordinates of point P2 are (2, 4).

Final answer:

The coordinates of P2 are (6, 4).

Explanation:

The midpoint of a line segment can be found by taking the average of the x-coordinates and the average of the y-coordinates of the two endpoints. In this case, the midpoint is (-1, 5), and one endpoint is (-4, 6). To find the other endpoint, we can use the formula:

x-coordinate of P2 = 2 * (x-coordinate of midpoint) - x-coordinate of P1 = 2 * (-1) - (-4) = 2 + 4 = 6

y-coordinate of P2 = 2 * (y-coordinate of midpoint) - y-coordinate of P1 = 2 * (5) - 6 = 10 - 6 = 4

Therefore, the coordinates of P2 are (6, 4).

Here there are total ten numbers (even)

So these are the steps we follow:

Step 1:

Arrange the numbers in ascending order.

252, 210, 264, 278, 208, 295, 248, 257, 284, 271

Ascending order is : 208, 210, 248, 252, 257, 264, 271, 278, 284, 295

Step 2:

Find the middle two numbers.

The middle two numbers are 257 and 264.

Step 3:

Find average of these two numbers.

Average = (257+264)/2 = 260.5

Answer : Median is 260.5

The query is about applying properties of determinants to find a determinant without evaluating it. This involves using properties such as linearity, the effect of elemental operations, and the determinant of a product. The instructions also involve using simplified subscripts and omitting them if they are one.

Properties of determinants are often used to simplify the process of determinant calculation without actually evaluating the determinant. In this particular scenario, to find a given determinant using the appropriate property, one must consider the properties such as linearity with regards to rows or columns, the determinant of a product, and the effect of elemental operations such as switching or scaling rows or columns. Remember, if you apply a transformation that changes the determinant's value, you need to account for that change. For instance, if you multiply a row by a scalar, the determinant is also multiplied by that scalar. If you switch two rows, the sign of the determinant is flipped.

When simplifying subscripts in the final formula, you should follow the instructions explicitly: use the simplified subscript and omit the subscript if it is one, as these rules can affect the determinants in certain cases involving submatrices or cofactors. Keep these guidelines in mind when you are working with determinants, although it appears that this particular question might be incomplete and does not specify the determinant to be simplified.

The number of possible choices for a 4-digit PIN where the digits can't repeat is 5040, coming from the product of the choices per position: 10 choices for the first digit, 9 for the second, 8 for the third, and 7 for the fourth.

The subject of this question is combinatorics, a branch of mathematics that focuses on the counting and arrangement of objects. We want to find out the number of possible choices for a 4-digit PIN, where the same digit can't repeat. In this situation, at the first position, we have 10 choices (from 0 to 9). However, once we pick one number, it can't be repeated, so in the second, third and fourth positions, we have 9, 8, and 7 choices respectively.

So, we multiply the choices together to come up with 5040 (10*9*8*7) possible choices for a 4-digit PIN where the same digit can't be repeated. This method of counting is generally known as the multiplication principle in combinatorics.

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A contour at height c have [tex]\mathbf{f(x, y) = c}[/tex] as its equation

The equation of the contour is [tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]

The given parameters are:

[tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]

[tex]\mathbf{(x,y) = (3,-2)}[/tex]

Recall that:

[tex]\mathbf{f(x, y) = c}[/tex]

Substitute [tex]\mathbf{(x,y) = (3,-2)}[/tex] in f(x,y)

[tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]

[tex]\mathbf{f(3,-2) = 2 \times 3^2 \times -2 + 7 \times 3 + 20}[/tex]

Evaluate exponents

[tex]\mathbf{f(3,-2) = 2 \times 9 \times -2 + 7 \times 3 + 20}[/tex]

Evaluate the products

[tex]\mathbf{f(3,-2) = -36 + 21 + 20}[/tex]

[tex]\mathbf{f(3,-2) = 5}[/tex]

Replace 3 and -2, with x and y

[tex]\mathbf{f(x,y) = 5}[/tex]

Substitute 5 for f(x,y) in [tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]

[tex]\mathbf{2x^2y + 7x + 20 = 5}[/tex]

Collect like terms

[tex]\mathbf{2x^2y + 7x + 20 - 5 = 0}[/tex]

[tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]

Hence, the equation of contour is [tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]

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The standard deviation of the returns is 21.5 percent.

To calculate the standard deviation of the returns, we need to follow these steps:

Let's perform these steps:

Therefore, the standard deviation of the returns is 21.5 percent.