Find the midpoint: (-1,9), (7,-1)

Answer:

Each side is 15 ft

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

225 ft^2 = s^2

Take the square root of each side

sqrt ( 225 ft^2) = sqrt ( s^2)

15 ft = s

Each side is 15 ft

Answer:

0

Step-by-step explanation:

a year is 365 days :)

Answer:

45 days = 1 month and  about 2 weeks not years

Step-by-step explanation:

Answer:

Infinitely many linear equations

Step-by-step explanation:

a + 2b + c = 0

x = 1 and y = 2

The coordinates of point on the x-axis of the line is given as follows:

(2,0).

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

When two lines are parallel, they have the same slope.

The slope of the line AB is given as follows:

m = -3/6 (change in y from A to B divided by change in x).

m = -0.5.

Hence:

y = -0.5x + b

From point C, when x = -2, y = 2, hence the intercept b is obtained as follows:

2 = -0.5(-2) + b

1 + b = 2

b = 1.

Hence the function is given as follows:

y = -0.5x + 1.

The x-intercept is obtained as follows:

-0.5x + 1 = 0

0.5x = 1

x = 1/0.5

x = 2.

Hence the coordinates are given as follows:

(2,0).

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There are 2.25 distinct 2-colored necklaces of length 4, up to rotation. Since we cannot have a fractional number of necklaces, we round up to get a final answer of 3.

A necklace is made by stringing together beads in a circular shape. A 2-colored necklace is a necklace where each bead is painted either black or white. How many distinct 2-colored necklaces of length 4 are there? Two colorings are considered identical if they can be obtained from each other by rotation.Let's draw a table to keep track of our count:Each row in the table represents one way to color the necklace, and each column represents a distinct necklace.

For example, the first row represents a necklace where all the beads are black, and each column represents a distinct rotation of that necklace.We start by counting the necklaces where all the beads are the same color. There are 2 of these. We then count the necklaces where there are 2 beads of each color. There are 3 of these.Next, we count the necklaces where there are 3 beads of one color and 1 bead of the other color. There are 2 of these, as we can start with a black or white bead and then rotate.

Finally, we count the necklaces where there are 2 beads of one color and 2 beads of the other color. There are 2 of these, as we can start with a black or white bead and then rotate. Thus, there are a total of 2 + 3 + 2 + 2 = 9 distinct 2-colored necklaces of length 4, up to rotation.  Answer: 9There is a better algebraic way to do this without finding all cases: Using Burnside's lemma. Burnside's lemma states that the number of distinct necklaces (up to rotation) is equal to the average number of necklaces fixed by a rotation of the necklace group. The necklace group is the group of all rotations of the necklace.

The average number of necklaces fixed by a rotation is the sum of the number of necklaces fixed by each rotation, divided by the number of rotations.For a necklace of length 4, there are 4 rotations: no rotation (identity), 1/4 turn, 1/2 turn, and 3/4 turn. Let's count the number of necklaces fixed by each rotation:Identity: All necklaces are fixed by the identity rotation. There are 2^4 = 16 necklaces in total.1/4 turn: A necklace is fixed by a 1/4 turn rotation if and only if all beads are the same color or if they alternate black-white-black-white.

There are 2 necklaces of the first type and 2 necklaces of the second type.1/2 turn: A necklace is fixed by a 1/2 turn rotation if and only if it is made up of two pairs of opposite colored beads. There are 3 such necklaces.3/4 turn: A necklace is fixed by a 3/4 turn rotation if and only if it alternates white-black-white-black or black-white-black-white. There are 2 necklaces of this type.The total number of necklaces fixed by all rotations is 2 + 2 + 3 + 2 = 9, which is the same as our previous count. Dividing by the number of rotations (4), we get 9/4 = 2.25.

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Answer:

d = 46.15

A = 1672.76

Hope this helps!

Answer:

Diameter = 46.18 inches

Area = 1,674.09 square inches

Step-by-step explanation:

Circumference = pi x diameter

145 = 3.14d

divide both sides by 3.14

d = 46.1783 inches

------------------------

radius = 1/2 x diameter

r = 23.09

Area = (pi)(r)^2

A = (3.14)(23.09)(23.09)

A = 1,674.09 square inches

X out of the first 1000 terms are divisible by 4.

Mathematically, the word divisibility means that a number goes evenly (with no remainder) into a number.

To get how many terms in the sequence are divisible by 4, we need to generate the sequence and check each term.

Let us generate sequence up to 1000th term:

1, 1, 2, 3, 5, 8, 13, 21, ...

To get next term, we will add last two terms:

21 + 13 = 34

Continuing this process, we can generate the sequence up to the 1000th term. Therefore, by generating the sequence, we find that X out of the first 1000 terms are divisible by 4.

Full question:

The sequence 1,1,2,3,5,8,13,21 has the property that each term (starting with the third term) is the sum of the previous two terms. How many of the first 1000 terms are divisible by 4?

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Mohr's circle is a graphical method used to determine the principal stresses and shear stresses in a material. Given the stress components σx = 16 ksi, σy = 9 ksi, and τxy = 5 ksi, we can follow several steps to draw and analyze Mohr's circle.

1. To begin, draw a stress element with the x-axis representing normal stress (σ) and the y-axis representing shear stress (τ). Label the x-axis as σ and the y-axis as τ.

2. Find the center of Mohr's circle by calculating the average of the normal stresses: (σx + σy) / 2. In this case, the center is ((16 + 9) / 2, 0) = (12.5 ksi, 0).

3. Determine the radius of Mohr's circle using the formula: R = ((σx - σy) / 2). In this case, the radius is ((16 - 9) / 2) = 3.5 ksi.

4. Draw Mohr's circle with the center at (12.5 ksi, 0) and a radius of 3.5 ksi. The circle represents all possible stress states for the given stress components.

5. To draw the principal stress element, draw a line from the center of the circle to the right edge of the circle. The angle between this line and the x-axis represents the orientation of the principal stress element.

To find the absolute shear stress when σx = σy, we need to identify the point on Mohr's circle where the x-axis intersects. At this point, the shear stress (τ) is zero, since there is no shear stress when σx = σy.

Mohr's circle can be drawn by following the steps outlined above. The circle represents all possible stress states, and the principal stress element can be identified by drawing a line from the center to the right edge of the circle. The absolute shear stress when σx = σy is zero, as indicated by the point where the x-axis intersects Mohr's circle.

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Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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Answer:

EC = 3

Step-by-step explanation:

Jorge's score on Exam 1 in his statistics class was at the 64th percentile, which means his score falls (c) between the median and the third quartile. This is because the median represents the 50th percentile and the third quartile represents the 75th percentile, and his score falls within that range.

Based on the information given, we know that Jorge's score is at the 64th percentile of all the scores. This means that 64% of the scores are below his score and 36% of the scores are above his score.

Option (c) between the median and the third quartile is the correct answer. The median represents the 50th percentile, and the third quartile represents the 75th percentile. Since Jorge's score is at the 64th percentile, it falls between these two values.

Options (a), (b), (d), and (e) can be eliminated because they do not fall within the range of the 64th percentile.

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Answer:

(x-7)(x+6)

factor and see what works

Answer: It it all of them

collecting money for a fundraiser

keeping track of math grades

saving money to buy a new pair of shoes

tracking yearly growth

summarizing survey results

Step-by-step explanation:

Answer: Check all of them! ;3

All are correct!

Answer:

4

Step-by-step explanation:

have a nice day

The Values of (a+b)ab are undefined.

Given that, a = 3an and db = -2We need to find the values of (a+b)

Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1

From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),

we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0

Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined

Therefore, the values of (a+b)ab are undefined.

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Answer: 10.2 (nearest tenth)

Step-by-step explanation:

For this question, you have to find out whether you are using Sin, Cos, or Tan.

For that, you can use SOH CAH TOA to help you.

SOH-the 'S' is for Sin then the 'O' and the 'H' stands for Opposite over Hypotenuse.

CAH-the 'C' is for Cos and the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA-the 'T' is for Tan then then 'O' and the 'A' is for Opposite over Adjacent.

Because you have the Adjacent (the side next to the 22°) and the Hypotenuse (the side opposite the right angle) you would be using Cos.

First you would write:

Cos 22=x/11

Then because you want x on it's own you would do the inverse so you would times Cos 22 by 11.

This would be written as:

11 Cos 22=x

So, x=10.2 (nearest tenth)

Hope this helps :)

\(0,4(5x-15)=2,5(x+3)\\\\2x-6=2,5x+7,5\\\\2x-2,5x=7,5+6\\\\-0,5x=13,5 \ \ /\cdot(-2)\\\\\huge\boxed{x=-27}\)

Answer:

Answer:

x=−27

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.4(5x−15)=2.5(x+3)

(0.4)(5x)+(0.4)(−15)=(2.5)(x)+(2.5)(3)(Distribute)

2x+−6=2.5x+7.5

2x−6=2.5x+7.5

Step 2: Subtract 2.5x from both sides.

2x−6−2.5x=2.5x+7.5−2.5x

−0.5x−6=7.5

Step 3: Add 6 to both sides.

−0.5x−6+6=7.5+6

−0.5x=13.5

Step 4: Divide both sides by -0.5.

−0.5x

−0.5

=

13.5

−0.5

x=−27

Answer:

x=−27

Answer:

anything thats not in the range of 2.645 and 2.824 next time please include options or a picture

Step-by-step explanation:

The relationship between price level (P), value of money (1/P), and quantity of money demanded (Q) is as follows:

As P increases, the value of money (1/P) decreases.

As P increases, the quantity of money demanded (Q) increases.

In macroeconomics, the quantity theory of money is a concept that states that the supply and demand for money determine the level of prices.

The concept is based on the assumption that the velocity of money (the rate at which money is exchanged in the economy) and real output are constant.

This theory is expressed mathematically as follows: MV = PQ, where M is the money supply, V is the velocity of money, P is the price level, and Q is real output.

The relationship between the price level, value of money, and quantity of money demanded can be explained through the quantity theory of money equation: MV = PQ

Where M is the money supply, V is the velocity of money, P is the price level, and Q is the quantity of goods and services produced in an economy.

We can rearrange this equation to solve for P:

P = MV/Q

Now, using the given data, we can find the relationship between price level (P), value of money (1/P), and quantity of money demanded (Q):

Price Level (P)Value of Money (1/P)

Quantity of Money Demanded (billions of dollars)1.001.5001.3312.003.504.007.0

To calculate the value of money (1/P), we need to take the reciprocal of each value of P. For example, if P = 1, then 1/P = 1/1 = 1.

Using the formula P = MV/Q, we can calculate the value of M by rearranging the equation: M = PQ/V. Since we don't have data for V, we can assume that it is constant (i.e., V = 1).

Therefore, M = PQ.To calculate the quantity of money demanded (Q), we can use the formula Q = MV/P. Again, assuming that V is constant at 1, we get Q = M/P.So, using the data in the table, we can calculate:

M = PQ = 1.00 x 1.5 = 1.5Q = MV/P = 1.5 x 1.00 = 1.5 billion dollars

M = PQ = 1.33 x 2.00 = 2.66Q = MV/P = 2.66 x 1.33 = 3.54 billion dollars

M = PQ = 2.00 x 3.50 = 7.00Q = MV/P = 7.00 x 2.00 = 14.00 billion dollars

M = PQ = 4.00 x 7.00 = 28.00Q = MV/P = 28.00 x 4.00 = 112.00 billion dollars

Therefore, the relationship between price level (P), value of money (1/P), and quantity of money demanded (Q) is as follows:

As P increases, the value of money (1/P) decreases.

As P increases, the quantity of money demanded (Q) increases.

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The answer to the quantity of money demanded (billions of dollars) is shown in the table below.

Price level (p)Value of money (1/p)Quantity of money demanded (billions of dollars)1.001.55.001.333.52.007.04.0012.5

As per the table given above, the quantity of money demanded (billions of dollars) is as follows for the respective price level (p) given below:

When the price level is 1.00, the quantity of money demanded is $5 billion.

When the price level is 2.00, the quantity of money demanded is $3.5 billion.

When the price level is 4.00, the quantity of money demanded is $12.5 billion.

The table provided above shows the relationship between the price level and the quantity of money demanded.

It can be observed that as the price level increases, the value of money decreases and the quantity of money demanded increases.

This shows an inverse relationship between the value of money and the quantity of money demanded.

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Answer:

24.5

Step-by-step explanation:

It is quite easy

7(5)-5/10/3

35-15/10

350-15/10

245/10

24.5

The 50th derivative of y=cos2x is \(& y^{50}(x)=-2^{50} \cos (2 x)\).

Consider y=cos 2x

Derivative: The rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.

Finding the nth derivative means to take a few derivatives (1st, 2nd, 3rd…) and look for a pattern. If one exists, then you have a formula for the nth derivative. To find the nth derivative, find the first few derivatives to identify the pattern.  Apply the usual rules of differentiation to a function, then find each successive derivative to arrive at the nth.

The first derivative is

\($$\begin{aligned}& y^{\prime}=-2 \sin 2 x \\& =-2\left[\cos \left(2 x+\frac{\pi}{2}\right)\right]\end{aligned}$$\)

The second derivative is

\($$y^{\prime \prime}=-2^2\left[\cos \left(2 x+2 \cdot \frac{\pi}{2}\right)\right]$$\)

Similarly, we get the \(n^{th}\) derivative

\($$y^n(x)=-\left[2^n \cos \left(2 x+n \frac{\pi}{2}\right)\right]$$\)

When n=50

\($$\begin{aligned}& y^{50}(x)=-\left[2^{50} \cos \left(2 x+50 \cdot \frac{\pi}{2}\right)\right] \\& y^{50}(x)=-2^{50} \cos (2 x)\end{aligned}$$\)

Therefore, the \(50^{th}\) derivative of y = cos 2x is \(& y^{50}(x)=-2^{50} \cos (2 x)\).

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Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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The box plot, as the median can be easily estimated from the big set of data, is the graphical representation that's most suitable for the data for gummy vitamins sold globally.

The distribution of data is shown using a boxplot, which is a standardised method based on a five-number summary ("minimum," first quartile ("Q1"), median ("Q3"), and "maximum").

For the case of -

A total of 100 distinct gummy vitamins that are offered worldwide were counted for their milligrammes of vitamin C content.

The box plot, as the median can be easily estimated from the big set of data, is the graphical representation that's most suitable for the data for gummy vitamins sold globally.

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The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.

Amount of water that the bottle can hold = 32 ounces

Bottles of water consumed = 2

A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.

Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -

= w > 2 × 32

Therefore,

Simplifying the right side of the inequality:

w > 64

Complete Question:

Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?

a. w>2

b. 32<w

c. w = 64

d. 64<w

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Answer:

Rational numbers

Step-by-step explanation I put D on a test and I got it right

Answer:

Step-by-step explanation:

1.169

Answer:

8^2−38+85+3√8 =111+6√2

(Decimal: 119.485281)

Answer:

the answer is 32

Answer:

Wouldn't it be 2?

Step-by-step explanation: