Solve for x solve for x please !!!

Answer:

25.7 in

Step-by-step explanation:

perimeter = 1/2(2)πr + 10 = 15.7 + 10 = 25.7 in

The discrete dynamical system (X, d, T) has a periodic point, which is x.

To prove that a discrete dynamical system (X, d, T) with finite X has a periodic point, follow these steps:
1. Since X is finite, there is a finite number of elements in X. Let's say there are N elements in X.
2. Consider applying the transformation T to an arbitrary point x in X. Since T is a function from X to X, the result of applying T to x will also be in X. In other words, T(x) is also an element of X.
3. Now, apply the transformation T repeatedly to x. We will obtain a sequence of points x, \(T(x), T^2(x), T^3(x), ..., T^N(x),\)where \(T^n(x)\) means applying T n times to x.

Since there are N elements in X and we have applied T N times, by the pigeonhole principle, there must be at least one point that repeats in the sequence.
4. Let's say \(T^i(x) = T^j(x)\) for some i < j. Then, \(T^i(T^{j-i}(x)) = T^j(T^{j-i}(x))\), and we can apply \(T^{j-i}\) to both sides of the equation, which gives \(T^i(x) = T^j(x).\)
5. This shows that x has a period of (j-i). Thus, the discrete dynamical system (X, d, T) has a periodic point, which is x.

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Answer:

T~final is 150.11 C

Step-by-step explanation:

To solve this we need this specific heat equation:

Q=mc(T~final - T~initial) that is the difference of final temperature minus initial temperature.

We are given:

Q = 294 J

m = 10 g

c = 0.235 J/gC

T~initial = 25 C

Plug the values in to the equation

294 J = 10 g * 0.235 J/gC * T(difference)

294 J = 2.35 J/C * T(difference)

Divide both sides by 2.35 J/C

294 J / 2.35 J/C = T(difference)

T(difference) = 125.11 C

If the initial temperature was 25 C then then

T~final = 25 C + 125.11 C or 150.11 C

The main answer is (D) 15/13 - 16/13i. To express 1 - 6i / 3 - 2i in the form a + bi, you need to follow these steps: Firstly, multiply the numerator and denominator of the expression by the conjugate of the denominator.

Doing this would eliminate the imaginary part of the denominator.

The conjugate of the denominator is: 3 + 2i, hence: (1 - 6i) (3 + 2i) / (3 - 2i) (3 + 2i).

Simplify by using the FOIL method for the numerator: 1(3) + 1(2i) - 6i(3) - 6i(2i) / 9 + 6i - 6i - 4Combine like terms: 3 - 16i / 13To express the answer in the form a + bi, split the fraction into real and imaginary parts:3/13 - 16i/13.

Therefore, the main answer is (D) 15/13 - 16/13i.

The answer to the question "Express in the form a+bi: 1-6i/3-2i" is D. 15/13 - 16/13i.

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Answer:

45%, 30%, 190%, 1%, 100%

Step-by-step explanation:

To get a percent from a decimal, multiply it by 100 and add a % symbol.

It’s a three quarter turn, and it’s 270 degrees.

Answer:

20

Step-by-step explanation:

Assuming you are referring to the day that both teams would play on the same day, it would be the 20th.

There are two ways you can do it.

1. List out the multiples of each number

2. multiply the two days together

If you want to do it the first way it would look like this...

5 10 15 20

4 8 12 16 20

When you do it like this it shows you that the 20th day is the day they would both play together

If you want to do it the second way it would look like this...

4th day X  5th day = 20th day

Either way you solve the problem you get the same answer, this may not work for every problem like this, but it works for this particular one

If an invertible symmetric n×n matrix A has a nonzero vector v in R^n such that Av is orthogonal to v, then it means that the dot product of Av and v is equal to zero. In other words, Av . v = 0. Using th peroperties of the dot product, we can rewrite this equation as:
v . A^T v = 0

Since A is symmetric, A^T = A, and we can rewrite the equation as:
v . A v = 0
This equation can be further simplified using the properties of the dot product:
v . A v = (A v) . v = 0
From this equation, we can see that the eigenvalues of A must be either positive or negative. If the eigenvalues of A are all positive, then v . A v > 0, which contradicts the equation v . A v = 0. Similarly, if the eigenvalues of A are all negative, then v . A v < 0, which also contradicts the equation v . A v = 0.
Therefore, the only way for there to exist a nonzero vector v in R^n such that Av is orthogonal to v is if the eigenvalues of A are both positive and negative. In other words, A must have both positive and negative

eigenvalues.

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The most appropriate variable type is usually level variables or positive variables for a linear program (LP).

In GAMS (General Algebraic Modeling System), there are several variable types available. The five permissible variable types in GAMS are:

1.These variables can take any real value within a defined range. They are typically used in models where quantities can vary continuously, such as production levels or resource allocations.

2.These variables are similar to level variables, but they are constrained to be non-negative. They are commonly used to represent quantities that cannot be negative, such as production quantities or inventory levels.

3.Binary variables can take only two possible values, typically 0 or 1. They are commonly used to represent decisions or choices, where 0 indicates the absence or non-selection of an option, and 1 indicates the presence or selection of an option.

4.Integer variables can take only integer values. They are used when the decision variables need to be restricted to whole numbers, such as representing the number of units to produce or the number of employees to hire.

5.These variables can take a value of either zero or any nonnegative real number within a specified range. They are used to model situations where there is a fixed cost associated with using a resource or when there are minimum usage requirements.

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Answer: 30.

Step-by-step explanation: This is a triangle with a 90 degree angle and a 60 degree angle. So, a 180 degree angle - a 90 degree angle - 60 degree angle = 30.

Answer:

11 unit

Step-by-step explanation:

Applying,

s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1

Where s = length of the side formed.

From the question,

Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5

Substitute these values into equation 1

s = √[(9+2)²+(5-5)²]

s = √(11²)

s = 11 unit.

Hence the length of the side formed by the vertices is 11 unit

Answer:

It's b

Step-by-step explanation:

It is b or the second option because -2 is equal or greater than A therefore it is option 2

The weekday hours you purchased is 5 hours.

The number of weekend hours I can purchase if the weekday hours tripled is 11 hours.

2a + 10b = 220 equation 1

a + b = 26 equation 2

Where:

Multiply equation 2 by 10

10a + 10b = 260 equation 3

Subtract equation 3 from equation 2

8a = 40

a = 5 hours

(5 x 3) + b = 26

15 + b = 26

b = 26 - 15

b = 11 hours

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hm, well I cant write a story FOR you, but I can give ya some ideas! I suggest going a more comedic route, something over dramatic to fit the fact you have to write a story about math symbols haha. maybe a forbidden love story between them. maybe personify the symbols in your writing, making them more human. or go full crazy and make them walking talking symbols. maybe they're doodles on a white board, making an epic adventure through the scribbles! dont over think creative prompts like this, just have fun and be creative! happy writing ♡

Answer:

A:He is trying to find the diameter

B: 3.14*14=43.96

C: 3.14*14^2=615.44

Hope This Helps!!!

The probability that the mean time for the sample of 150 returns for this year is greater than 92 is 0.95907

Given,

Mean, \(\overline x\) = 90 minutes

standard deviation, \(\sigma\) = 14 minutes

to find probability that mean for sample 150 returns is greater than 92, \(P(\overline x > 92)\)

This means we need to find probability the related z-value of expected mean

where, \(z=\frac{\overline x-\mu_x}{\sigma_x}\)

Here,

\(\mu_x\)= expected mean =92

\(\sigma_x\)=standard deviation for new sample i.e. 150

\(\sigma_x\) can be calculated by formula,

\(\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\\sigma_x=\frac{14}{\sqrt{150}}\\\\\sigma_x=1.143\)

Now,

\(z=\frac{90-92}{1.143}\\\\z=-1.749\)

Now,

\(P(\overline x > 92)\\\\=P(z > -1.749)\\\\=1-P(z < -1.749)\\\\=1-0.04093\\\\=0.95907\)

In above calculation, the z-value is  determined from the z-table.

Thus, the probability that mean is greater than 92 is 0.95907

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Your question is incomplete, please complete the question.

The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

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Answer:

Consumption in the 20th year  = 82252 (nearest unit)

Step-by-step explanation:

Exponential growth problem.

Current consumption (year 0), P = 31000

growth rate, r = 5%

consumption in nth year

P(n) = P(1+r)^n

for the 20th year,

P(20) = P((1+r)^20) = 31000*1.05^20 = 82252.2 m^3  

(note: annual water consumption in a town is likely to be measured by m^3, please double check)

The required volume of water will be used at 82253 liters.

The annual water usage rate increase 5% annually with current usage is 31000 liters. After 20 years what will be the volume usage? To determine.

The function which is in format f(x) =a^x  where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here, the rate of volume of water usage increases exponentially by 5%, current usage  = 31000. So Usage for the 20th year,
= 31000(1+5%)^20
=31000(1.05)^20
= 82253 liters

Thus, The required volume of water will be used at 82253 liters.

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Given the equation:

8x + 7y = -50

We will check the options to find which order pair is the solution of the equation

Point (-6 , -1)

8 * -6 + 7 * -1 = -48 - 7 = -55 ≠ -50

Point ( 0 , -6)

8 * 0 + 7 * - 6 = -42 ≠ -50

Point (-6, 0 )

8 * - 6 + 7 * 0 = -48 ≠ -50

Point (-1 , -6)

8 * -1 + 7 * -6 = -8 - 42 = -50

so, the order pair which is a solution for the equation is (-1 , -6 )

Answer:

Equation of line that includes the point (-9, -8) has a slope of 5 in point-slope form is

\(y+8 = 5 (x + 9)\)

Step-by-step explanation:

Equation of line in point-slope form is given as

\(y-y_1 = m (x-x_1)\)  ---------- (1)

Here

\(m=5 \ \ \ and \ \ \ (x_1, y_1) = (-9, -8)\)

Substitute values in equation (1)

\(y+8 = 5 (x + 9)\)

Simplifying it further

\(y = 5x + 45 -8\)

\(y = 5x + 37\)

Answer:

y= 50,000(1-.075)^x

Step-by-step explanation:

The first year of depreciation is calculated by:

50,000 - (0.075)*(50,000) = 46,250

This can also be written as:

(50,000)*(1 - 0.075)           [Pull out the 50,000]

The second year will depreciate starting with the $46,250 value at the end of the first year:

46,250 - (0.075)*(46,250) = 42,781

This may be written as:

(46,250)(1 - 0.075) = 42,781

The 46,250 was derived from the first year depreciation calculation, so we can substitute that instead of the 46,250:

((50,000)*(1 - 0.075))(1 - 0.075) = 42,781

This reduces to:

(50,000)*(1 - 0.075)^2 = 42,781.  Note that the term (1-0.075) is now raised to the 2nd power.  This power represents the 2nd year.  Each succeeding year would be raised by one additional power, so that we can write a depreciated value after x years will be:

(50,000)*(1 - 0.075)^x

Answer:

  a) 56.25 mph

  b) $1.59/lb

Step-by-step explanation:

The units of the "unit rate" tell you the math operation you need to perform.

Miles per hour (mi/h) is found by dividing miles by hours.

  (450 mi)/(8 h) = (450/8) mi/h = 56.25 mi/h

Dollars per pound ($/pound) is found by dividing dollars by pounds.

  ($7.95)/(5 pounds) = (7.95/5) $/pound = 1.59 $/pound

__

Additional comment

In the context of unit rates, "per" means "divided by."

What makes a rate a "unit rate" is the "1 unit" in the denominator. For miles per hour, the denominator is 1 hour. For dollars per pound, the denominator is 1 pound.

The answer is (B) 425. To calculate the total surface area of the replica of the Great Pyramid, we need to find the areas of all its surfaces and then sum them up.

The Great Pyramid has a square base, so the area of the base is given by:

Base Area = side^2 = 10^2 = 100 square inches

The four triangular faces of the pyramid have the same area. We can find the area of one of these triangular faces using the formula for the area of a triangle:

Triangle Area = (base * height) / 2

The base of the triangular face is the same as the side length of the base of the pyramid, which is 10 inches. The height of the triangular face can be found using the Pythagorean theorem:

height^2 = slant height^2 - base^2

height^2 = 15^2 - 10^2

height^2 = 225 - 100

height^2 = 125

height = sqrt(125) = 5√5 inches

Now we can calculate the area of one triangular face:

Triangle Area = (10 * 5√5) / 2 = 25√5 square inches

Since there are four triangular faces, the total area of these faces is:

Total Triangle Area = 4 * Triangle Area = 4 * 25√5 = 100√5 square inches

Finally, we can calculate the total surface area of the replica:

Total Surface Area = Base Area + Total Triangle Area

Total Surface Area = 100 + 100√5 square inches

To determine the exact value, we need to use a calculator. Rounded to the nearest whole number, the total surface area is approximately 425 square inches.

Therefore, the answer is (B) 425.

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There is a fixed cost of renting and variable cost per hour.

Let fixed cost be "x" and variable costs be "y".

Saturday Cost:

x + 3y = 435

Sunday Cost:

x + 5y = 625

To find x and y, we can solve the 2 equations simultaneously. Let's multiply first equation by "-1" and add up. Shown below:

Putting this value of y into equation 2 [or equation 1 would be fine as well], we solve for x:

So,

fixed cost = 150 dollars

variable cost (per hour cost) = 95 dollars

Now,

Monday, he rented for 2 hours, so the cost would be:

Monday Cost:

fixed + variable (for 2 hrs)

150 + 2(95) = 340 dollars

Total Cost of Renting (for 3 days):

435 + 625 + 340 = $1400

The number of distinct possibilities for the values in the first column of a short bingo card is = 10000

According to the data given in the question,

The middle square is contained with the word = WILD

Number of remaining squares = 24

Total number of choices given to an individual = 4

Number of options provided for each choice made = 10

Let N denote the number of choices,

In order to find the number of choices we will use the following formula,

N = \(Number of options^{Number of choices}\)

N = \(10^{4}\)

N = 10000

Therefore, the number of distinct possibilities for the values in the first column of a short bingo card is = 10000

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Answer:

Sailboat A won the race, and it was going 8 feet per second.

Step-by-step explanation:

Two sailboats had a race. Sailboat A traveled 40 feet every 5 seconds, and sailboat B traveled 56 feet every 8 seconds. Which sailboat won the race, and how fast was it going?

Sailboat A won the race, and it was going 7 feet per second.

Sailboat A won the race, and it was going 8 feet per second.

Sailboat B won the race, and it was going 7 feet per second.

Sailboat B won the race, and it was going 8 feet per second.

Answer: Speed is the rate of change of distance. It is the ratio of distance traveled to time taken to reach the distance. It is given by the formula:

Speed = distance / time

For sailboat A: Speed = distance traveled/ time taken = 40 feet / 5 seconds = 8 ft/s

For sailboat B: Speed = distance traveled/ time taken = 56 feet / 8 seconds = 7 ft/s

Since the speed of sailboat A is greater than the speed of sailboat B, therefore Sailboat A won the race, and it was going 8 feet per second.