What is a
decomposition reaction?

Okay, let's solve this step-by-step:

1) The equations for the two curves are:

r = sin(θ)  and  r = cos(θ)

2) We need to find the intersection points of these two curves. This is done by setting them equal and solving for θ:

sin(θ) = cos(θ)

=>  θ = π/4

3) The intersection points are (1, π/4) and (1, 3π/4). The region lies between θ = π/4 and θ = 3π/4.

4) To find the area, we use the formula:

A = ∫θ=3π/4 θ=π/4 2πr dθ

5) Substitute r = sin(θ) or r = cos(θ):

A = ∫θ=3π/4 θ=π/4 2πsin(θ) dθ

= 2π ∫θ=3π/4 θ=π/4 sin(θ) dθ

6) Integrate:

A = 2π(cos(θ) - sin(θ) )|π/4  to  3π/4

= 2π(0 - 1) = 2π

7) Therefore, the area of the region is 2π square units.

Let me know if you have any other questions!

Answer:

The possibility is 0,002

Answer:

25% or 1/4

Step-by-step explanation:

There are 4 possible outcomes, and only one of them involves both coins landing on heads, so 1/4 is the probability.

Hope this helps! Please give brainliest!!

The numerical length of the line segment FG is 10 units.

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Point G is on FH, hence:

FH = FG + GH

Given that GH = 8, FH = 3x + 3, FG = 2x, hence:

3x + 3 = (2x) + 8

x = 5

FG = 2x = 2(5) = 10

The numerical length of the line segment FG is 10 units.

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Answer:

45

Step-by-step explanation:

Answer:

Population: A) All woman in the country

Step-by-step explanation:

Sample: A) The 1004 woman selected

Answer:

number 1

Step-by-step explanation:

faster way to it to try to multiple the first to the 2nd one .

(7x+3)(7x-3)

( 7x .7x - 7x.3 ) + ( 3 .7x - 3.3)

49x^2 -21x + 21x - 9

it take you back to the original equation

Answer:

A is correct

Step-by-step explanation:

Answer:

41.6 inches

Step-by-step explanation:

edge 2021

Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Answer:

No, it is not a function

Step-by-step explanation:

Using the vertical line test, you would find that it would hit two points, making it not a funtion.

Answer:

80.93

Step-by-step explanation:

15.40×7=107.80

188.73-107.80=80.93

Answer:

25

Step-by-step explanation:

6+7=13   13+12=25

Answer:

y = 2(x + 4)² - 6

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define function

y = 2x² + 16x + 26

Step 2: Find vertex form

Answer:

\(\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}\)

\(\implies \sf Mean\:(Nilo)=\dfrac{5+6+14+15}{4}=\dfrac{40}{4}=10\)

\(\implies \sf Mean\:(Lisa)=\dfrac{8+9+11+12}{4}=\dfrac{40}{4}=10\)

\(\displaystyle \textsf{Standard Deviation }s=\sqrt{\dfrac{\sum X^2-\dfrac{(\sum X)^2}{n}}{n-1}}\)

\(\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}\)

\(\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}\)

Nilo has a mean score of 10 and a standard deviation of 5.23.

Lisa has a mean score of 10 and a standard deviation of 1.83.

The mean scores are the same.

Nilo's standard deviation is higher than Lisa's.  Therefore, Nilo's test scores are more spread out that Lisa's, which means Lisa's test scores are more consistent.

Answer:

m = 5s - 4

Step-by-step explanation:

Man = m

Son = s

the mans age is 4 years less than 5 times his sons age

5 times his sons age is 5s

4 less than that is 5s - 4

The man's age is 5s - 4 or m = 5s - 4

If my answer is incorrect, pls correct me!

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-Chetan K

This is an exercise in applying the power rule, which says

\(f(x) = x^n \implies f'(x) = nx^{n-1}\)

Starting with

\(7g^8 + 2g^7 + 4g^6 + 3g^5 + g^2 + 5g + 276.3\)

we have

• first derivative

\(56g^7 + 14g^6 + 24g^5 + 15g^4 + 2g + 5\)

• second derivative

\(392g^6 + 84g^5 + 120g^4 + 60g^3 + 2\)

• third derivative

\(2352g^5 + 420g^4 + 480g^3 + 180g^2\)

• fourth derivative

\(11760g^4 + 1680g^3 + 1440g^2 + 360g\)

• fifth derivative

\(\boxed{47040g^3 + 5040g^2 + 2880g + 360}\)

Answer : 12cm

Step-by-step explanation:

Answer:

im thinking its 12

Step-by-step explanation:

because if you

multiply 3cm : 2m = 6

multiply 2cm : 1m = 2

then multipy 6x2 wich gives you 12

so l really dont know

Answer:

\(y = \frac{5}{2} x^{2}\)

Step-by-step explanation:

When you scale a parabola vertically, you multiply the \(x^{2}\) by what you are scaling it vertically by.

For example, say you have  \(y = 8x^{2}\). That means that  \(y = x^{2}\) was scaled vertically by a factor of 8.

I hope this helps!

Answer:

x=3

Step-by-step explanation:

The square root of 225 is 15

so 15=4x+3

    -3        -3

      12=4x

If 12=4x then x=3

The volume of the room is approximately \(46956.7 ft^3\), and the weight of air in the room is around 57743.18 pounds. These calculations are based on the given dimensions of the room, the density of air, and the conversion factors for units of measurement.

To calculate the volume, we need to convert the given dimensions from meters to feet. Using the conversion factor 1 meter = 3.28084 feet, the dimensions of the room in feet are approximately 121.391 ft by 100.066 ft by 59.997 ft. Multiplying these dimensions together, we find the volume to be approximately \(46956.7 ft^3\).

To find the weight of air in the room, we need to calculate the mass of the air first and then convert it to pounds. The density of air is given as \(1.29 kg/m^3\). The volume of the room in cubic meters is 37 m by 30.5 m by 18.3 m, which is approximately \(20309.05 m^3\). Multiplying the volume by the density, we find the mass of air to be approximately 26199.1845 kg.

To convert the mass from kilograms to pounds, we use the conversion factor 1 kilogram = 2.20462 pounds. Multiplying the mass by this conversion factor, we find the weight of air in the room to be approximately 57743.18 pounds.

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The value of  0e^0d0 is -1 if the integral in this exercise converges after applying limit.

A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.

We are assuming the:

\(=\int\limits^0_{-\infty} {\theta e^{\theta}} \, d\theta\)

Applying limit;

\(=\lim_{n \to \infty} \int\limits^0_{-n} {\theta e^{\theta}} \, d\theta\)

After solving the integral:

\(=\lim_{n \to \infty} (e^{\theta})|^0_-_p\)

= -(1-0)

= -1

Thus, the value of  0e^0d0 is -1 if the integral in this exercise converges after applying limit.

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The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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Answer:

In order to find the remainder two polynomials of same degree are divided.

Step-by-step explanation:

Hope this will help you :)

The probability of one or the other occurring is 1.00.

If two events are collectively exhaustive, the probability that one or the other occurs is 1.00.

In probability theory, collectively exhaustive refers to a set of events that includes all of the possible outcomes of a trial.

It is said to be a set of events that represents all of the possible outcomes of an experiment, implying that one of them must be true. The two or more events, when combined, cover all of the possibilities that could occur.

The probability of the occurrence of each event in the set must be between 0 and 1.

As a result, if we have a pair of collectively exhaustive events, the possibility of one or the other happening is 1.00.

Since the set of events is collectively exhaustive, we can conclude that either A or B must occur, and because both probabilities are mutually exclusive, the probability of one or the other occurring is 1.00.

As a result, the answer is 1.00.

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The net annual percentage growth rate of the city population is 0.4%

To calculate the net annual percentage growth rate of a population, we can use the following formula:

Net Annual Percentage Growth Rate = ((Births + Immigrants) - (Deaths + Emigrants)) / Initial Population x 100%

Plugging in the given values, we get:

Net Annual Percentage Growth Rate =\(((100 + 10) - (40 + 30)) / 10,000 x 100%\)

Net Annual Percentage Growth Rate = \((40 / 10,000) x 100%\)

Net Annual Percentage Growth Rate =\(0.4%\)

The net annual percentage growth rate of the city population is 0.4%

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