what is the angle M?

Answer: 1.5 hours

Step-by-step explanation:

I assume you’re trying to find how much time she is doing other activity.

2 1/4 - 3/4 is equal to:

2.25-0.75

That equals 1.5.

Answer:

Step-by-step explanation:

In every triangle, all the measures of the angles combined is 180 degrees.

So x + y + z = 180 degrees

Answer:

180 dg

Step-by-step explanation:

Thus, the value of x in obtained in the simplest form for the unit circle is: x = -√5/3.

A circle with a radius of one unit and a centre at the origin is referred to as a unit circle just on Cartesian Plane (0, 0). When working with trigonometric functions including angle measurements, the unit circle is a useful tool that makes reference much simpler.

The equation of unit circle, radius r = 1 unit. :

x² + y² = 1.

For the given point P (x, 2/3), we can solve for x by substituting each quantity into the equation.

x² + (2/3)² = 1

x² + 4/9= 1.

Subtract 4/9 from both side.

x² = 5/9.  

Taking square root on both side.

x = √5/3

x = -√5/3

Thus, the value of x in obtained in the simplest form for the unit circle is: x = -√5/3.

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Complete question:

the point P=(x,2/3) lies on the unit circle shown below . what is the value of x in simplest form?

The diagram is attached.

The function f(x) = 1 - x²/a² equals its average value at x = ±a/√3 on the interval [0, a].

The function f(x) = 1 - x²/a² equals its average value at x = ±a/√3.

To find the point(s) at which the function equals its average value on the interval [0, a], we first need to determine the average value. The average value of a function on a closed interval [a, b] can be calculated by integrating the function over that interval and dividing by the length of the interval (b - a). In this case, the interval is [0, a], so the length of the interval is a - 0 = a.

To find the average value, we integrate the function f(x) = 1 - x²/a² over the interval [0, a]:

∫(0 to a) (1 - x²/a²) dx = x - (x³/3a²) evaluated from 0 to a

= (a - (a³/3a²)) - (0 - 0)

= (a - a/3) - 0

= 2a/3

The average value of the function f(x) over the interval [0, a] is 2a/3.

Now, we set the function equal to its average value:

1 - x²/a² = 2a/3

Multiplying both sides by a², we get:

a² - x² = (2a/3) * a²

a² - x² = 2a²/3

3a² - 3x² = 2a²

3x² = a²

x² = a²/3

x = ±√(a²/3)

x = ±(a/√3)

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Answer:

El área original del cuadrado es 34225 cm²

Step-by-step explanation:

Los parámetros dados son;

El área del rectángulo = (15·n + 9·n·x) cm²

La longitud de la base del rectángulo = (3·n) cm

La altura del cuadrado = La altura del rectángulo

El área original del cuadrado - 9·x² cm² = 1825 cm²

La altura del rectángulo = (El área del rectángulo) / (La longitud de la base del rectángulo)

∴ La altura del rectángulo = (15·n + 9·n·x) / (3·n) = 5 + 3·x

La altura del rectángulo = 5 + 3 · x = La altura del cuadrado

El área del cuadrado = Lado × Lado = Altura × Altura = (5 + 3·x) × (5 + 3·x)

∴ El área del cuadrado = (5 + 3·x) × (5 + 3·x) = 9·x² + 30·x + 25

Del área original del cuadrado - 9·x² cm² = 1825 cm², tenemos;

9·x² + 30·x + 25 - 9·x² = 1825

30·x + 25 = 1825

30·x = 1825 - 25 = 1800

x = 1800/30 = 60

x = 60

El área original del cuadrado - 9·x² cm² = 1825 cm²

El área original del cuadrado = 1825 cm² + 9·x² cm² = 1825 cm² + 9 × 60² cm² = 34225 cm²

El área original del cuadrado también se puede encontrar de la siguiente manera;

El área original del cuadrado = (5 + 3 × 60) × (5 + 3 × 60) = 34225 cm²

El área original del cuadrado = 34225 cm².

The equation of the area of the square is x² + 6x = 1, it is in the form x² + 6x = a where a is 1 and a constant to be found.

A regular quadrilateral is square. A square has equal lengths on each of its four sides and angles. Each of the four angles is 90 degrees, or a right angle. The two adjacent sides of a square are equal in length, making it a particular instance of a rectangle.

Its attributes are: Each of its four sides is the same length.

Each of its four angles has the same dimensions.

At right angles, or 90°, the two diagonals split in half.

A square has two opposed sides that are equally long and parallel.

A square's diagonal lengths are equal.

The length of the side of the given square is 3 + x.

The area of the square is given as:

A = (s)(s)

Substituting the value of the side and area we have:

10 = (3 + x)(3 + x)

10 = 9 + 3x + 3x + x²

x² + 6x = 10 - 9

x² + 6x = 1

Hence, the equation of the area of the square is x² + 6x = 1, it is in the form x² + 6x = a where a is 1 and a constant to be found.

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Answer:

119

Step-by-step explanation:

First find c. It is a straight line so 180. 180-112=68. 68+51=119. 180-119=61. 180-61=119.

Answer:

oxidation number, also called oxidation state, the total number of electrons that an atom either gains or loses in order to form a chemical bond with another atom.Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Your answer is 1 because hundredths position is the second number after the decimal other answers include.

Ten=3

Ones place=8

Tenths place=7

Thousandths place=6

Hundred thousandths=5

Hope it helps have a great day:)

Answer:

I cant answer, but I can help, divide 100 by 16, than multiply what you get from that with 24, it'll look like this:

(100÷16)x24=A

Answer:

Step-by-step explanation:

to ez its =12

Answer:

y = 2x we need to solve when x= -3. Using elimination, we can solve this system of equations like this:

y = 2x

x = -3

*2  *2

simplify

y = 2x

-6 = 2x

subtract

y+6=0

-6    -6

y=-6

So, when x=-3, y=-6

A number is written in scientific notation if it's composed of a whole number or decimal between 1 and 10 (including 1, but not 10) times a power of ten.

Answer:

True! Well kind of  

Step-by-step explanation: Its actually between 1 and 10 (nothing below 1 and nothing higher than ten) ✝️❤️

the probability that someone who tests positive for HIV actually has the virus is about 23%.

calculate the probability that someone who tests positive for HIV actually has the virus, we can use Bayes' theorem. Let's define the following events:

- P(HIV): the probability that a person is HIV positive, which is given as 0.3% or 0.003.
- P(Pos|HIV): the probability that a person tests positive for HIV given that they are HIV positive, which is 99% or 0.99.
- P(Pos|not HIV): the probability that a person tests positive for HIV given that they are not HIV positive, which is also 99% or 0.99.

Then, we can use Bayes' theorem as follows:

P(HIV|Pos) = P(Pos|HIV) * P(HIV) / [P(Pos|HIV) * P(HIV) + P(Pos|not HIV) * P(not HIV)]

Substituting the values, we get:

P(HIV|Pos) = 0.99 * 0.003 / [0.99 * 0.003 + 0.01 * (1 - 0.003)]

Simplifying this expression, we get:

P(HIV|Pos) = 0.229 or approximately 23%.

Therefore, the probability that someone who tests positive for HIV actually has the virus is about 23%. This highlights the importance of confirmatory testing and the need for caution in interpreting the results of any single diagnostic test.

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The required interval of convergence and radius of convergence are (-11/5, -9/5) and 2/5 respectively.

To determine the interval of convergence and the radius of convergence of the series ∑(n=0 to ∞) \(a_n = 5^n (x+2)^{n+1\), we can use the ratio test.

The ratio test states that if we have a series ∑aₙ, then the series converges if the limit of the absolute value of the ratio of consecutive terms is less than 1:

lim(n→∞) |aₙ₊₁ / aₙ| < 1

In this case, \(a_n = 5^n (x+2)^{n+1\).

Let's apply the ratio test to find the interval of convergence:

\(|a_{n+1} / a_n| = |5^{n+1} (x+2)^{n+2} / 5^n (x+2)^{n+1}|\)

= |5(x+2) / 1|

= 5|x+2|

We want the limit of this ratio to be less than 1:

lim(n→∞) 5|x+2| < 1

Solving for x:

5|x+2| < 1

|x+2| < 1/5

This implies that -1/5 < x+2 < 1/5.

Subtracting 2 from each term:

-11/5 < x < -9/5

Therefore, the interval of convergence is (-11/5, -9/5).

To find the radius of convergence, we take half the length of the interval:

radius of convergence = (length of interval) / 2 = ((-9/5) - (-11/5)) / 2 = 2/5

Therefore, the radius of convergence is 2/5.

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Answer:

False.

Step-by-step explanation:

The RMS (Root Mean Square) value of a sine wave represents the equivalent DC voltage that would produce the same amount of power in a resistive load. However, the heat produced in a resistor is directly proportional to the square of the current passing through it (according to Joule's Law). In the case of an AC waveform, the current continuously changes direction, resulting in a time-varying power dissipation. Therefore, comparing the RMS value of an AC waveform to a DC voltage is not directly applicable in terms of heat produced in a resistor.

Answer:

1)mean =738.75

solution------->

Given

1) as per given informtaion for question no 1

daily wages. number of worker

500-600 12

600 -700 17

700-800 28

800-900 14

900 -1000 9

\(mean=\frac{fx}{x} \\or \frac{59100}{80} \\or 738.75\)

Hope this helps ;D

Step-by-step explanation:

is this the table u r trying to do??

Answer:

d

Step-by-step explanation:

Answer:

8 pizzas

Step-by-step explanation:

If each of the 20 people eats 3/8 of pizza, to calculate the total number of pizzas needed, multiply 20 by 3/8 and round up to the nearest whole number.

\(\sf total \ number \ of \ pizzas=20 \times\dfrac38\)

                                  \(=\dfrac{20 \times3}8\)

                                  \(=\dfrac{60}8\)

                                  \(=\dfrac{15}2\)

                                  \(=7.5\)

Therefore, he should buy 8 pizzas for the party.

Answer:

1 1/5

Step-by-step explanation:

1.6*3/4

4.8/4

1.2

1 1/5

Therefore, the answer is 17/20.

Hoped this helped.

\(BrainiacUser1357\)

To determine the price per unit at which the quantity supplied equals 6 units, we need additional information such as the supply function or the relationship between price and quantity supplied.  The price and quantity relationship in the supply function can vary depending on various factors such as production costs, market conditions, and technology.

Therefore, it is crucial to have more context or data to determine the specific price per unit required for the quantity supplied to be 6 units.  In summary, without the supply function or more information, it is not possible to determine the exact price per unit at which the quantity supplied equals 6 units.

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The differential equation for the amount of pollutant y(t) in the lake is dy/dt = 550/yr - (y(t)/12200)(67.1 km^3/yr), where y(t) is measured in tons and t is measured in years. The solution to the differential equation is y(t) = (550/67.1)(1 - exp((-67.1/12200)t)) + 200000. As t goes to infinity, y(t) approaches 20818.5 tons.

The change in pollutant in the lake over a small time interval is given by the difference between the amount that enters the lake and the amount that leaves, plus the amount that is added directly:

dy/dt = (rate in) - (rate out) + (rate added)

The rate in and rate out are both equal to 67.1 km^3/yr, so we can substitute these values:

dy/dt = 550/yr - (y(t)/12200)(67.1 km^3/yr)

To solve the differential equation, we can use separation of variables:

dy/dt + (67.1/12200)y = 550/12200

Multiplying both sides by the integrating factor exp((67.1/12200)t), we get:

exp((67.1/12200)t)dy/dt + (67.1/12200)y exp((67.1/12200)t) = (550/12200)exp((67.1/12200)t)

This can be written as:

d/dt (exp((67.1/12200)t)y) = (550/12200)exp((67.1/12200)t)

Integrating both sides with respect to t,

exp((67.1/12200)t)y = (550/67.1)exp((67.1/12200)t) + C

where C is the constant of integration. We can find the value of C using the initial condition y(0) = 200000:

exp(0) * 200000 = (550/67.1)exp(0) + C

C = 200000 - (550/67.1)

Substituting this value back into the equation, we get:

exp((67.1/12200)t)y = (550/67.1)exp((67.1/12200)t) + 200000 - (550/67.1)

y(t) = (550/67.1)(1 - exp((-67.1/12200)t)) + 200000

As t goes to infinity, the exponential term exp((-67.1/12200)t) goes to zero, so y(t) approaches the steady state solution given by:

y(t) → (550/67.1) + 200000 ≈ 20818.5

In practical terms, this means that over time the amount of pollutants in the lake will approach a constant value of approximately 20818.5 tons. The rate at which the pollutants enter and leave the lake is balanced by the rate at which they are added directly, resulting in a steady state concentration of pollutants in the lake.

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The area of the actual parallelogram will be the same as the area of the parallelogram on the map.

Area is the measure of the size of a two-dimensional surface or shape. It is usually expressed in square units such as square feet, square meters, or square kilometers. It is a fundamental concept in mathematics and is used in many different fields, such as geometry, architecture, engineering, engineering design, and physics. Area can be calculated using a variety of methods, such as the use of formulas, algorithms, and calculators. It is also used in everyday life, such as to calculate the size of a room, the amount of paint needed to cover a wall, or the amount of land needed for a garden.

This is because the map is a scaled representation of the actual parallelogram, meaning the ratio of the sides of the map parallelogram to the actual parallelogram is the same. Therefore, the area of the actual parallelogram is also 5 cm². In other words, if one unit on the map represented one unit on the actual parallelogram, then the area of the map parallelogram is the same as the area of the actual parallelogram.

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Answer:

r=-15/4

Step-by-step explanation:

Answer:

Even

Step-by-step explanation:

Given

\(E = Even\)

\(O = Odd\)

Required

What is the result of \(O * E\)

Literally, multiplication means addition in a number of places.

So:

\(O * E = O_1 + O_2 + ..... +O_E\)

The result \(O_1 + O_2 + O_E\) will be an even number

Take for instance:

\(3 * 4 = 3 + 3 + 3 + 3\)

\(3 * 4 = 12\)

So: when a number is added to itself in an even number of times, the result is always even

Hence:

\(O * E = E\)

Answer:

Step-by-step explanation:

The forecasted registrations for years 2 to 12 using the exp is given below:YearRegistrations (000)Exponential smoothing .

Forecasted registrations

(000)20004.0020035.00

Ft = α(At-1) + (1-α)

Ft-120043.85F3 = αA2 + (1-α)

F220044.04F4 = αA3 + (1-α)

F320059.23F5 = αA4 + (1-α)

F420058.08F6 = αA5 + (1-α)

F520057.28F7 = αA6 + (1-α)

F620073.48F8 = αA7 + (1-α)

F720088.59F9 = αA8 + (1-α)

F820091.23F10 = αA9 + (1-α)

F920090.69F11 = αA10 + (1-α)F1020096.05

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Answer:

Option D.

Step-by-step explanation:

hope it helps...