Determine the oreadred pair for (-10,3) when it has been reflected over the y-axis

Answer:

The value of x is 8

The measure of angle A is 42 degrees

A and B are consecutive interior angles

Step-by-step explanation:

Since A and B are consecutive interior angles you combine both equations and have it equal to 180

16x+10+5x+2=180

21x+12=180

21x=168

x=8

Plug 8 into the equation across from A

16(8) +10

128+10

138 degrees

Since angle A is supplementary you do 180-138= 42 degrees

The correct statements about the components, magnitude, and direction of the scalar product -4⇀r⇀ are:

A. The component form of -4⇀r⇀ is ⟨-8, -12⟩. When a vector is multiplied by a scalar, each component of the vector is multiplied by the scalar.

B. The magnitude of -4⇀r⇀ is 4 times the magnitude of ⇀r⇀. When a vector is multiplied by a scalar, the magnitude of the resulting vector is equal to the absolute value of the scalar multiplied by the magnitude of the original vector.

C. The direction of -4⇀r⇀ is the same as the direction of ⇀r⇀. Multiplying a vector by a scalar does not change its direction, only its magnitude.

D. The vector -4⇀r⇀ is not necessarily in the fourth quadrant. The quadrant of a vector depends on the signs of its components, and multiplying a vector by a negative scalar can change the signs of its components.

E. The direction of -4⇀r⇀ is not necessarily 180° greater than the inverse tangent of its components. The direction of a vector is given by the arctan(y/x), where (x, y) are the components of the vector. Multiplying the vector by a scalar does not affect its direction in this way.

Therefore, the correct statements are A, B, and C.

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79.1 mL is equal to 0.0791 liters with correct significant figures.

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

We convert the units of any quantity to understand better. For example, the length of a table is measured in inches; on the other hand, the length of a garden is measured in yards to make it simple to comprehend. We cannot calculate the length of a finger in miles.

79.1 mL is equal to 0.0791 litres. To convert millilitres to litres, we divide the number of milliliters by 1000:

79.1 mL / 1000 = 0.0791 liters

So, 79.1 mL is equal to 0.0791 litres with correct significant figures.

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La suma de las cifras del precio del rollo de alambre es aproximadamente 27.

Para resolver este problema, vamos a llamar "x" al precio del rollo de alambre en soles (S/).

Según la información proporcionada, podemos establecer la siguiente ecuación:

\((\frac{x}{2} )+(\frac{2x}{3} )+(\frac{5x}{8} )= 3870\)

Para simplificar la ecuación, vamos a deshacernos de los denominadores multiplicando toda la ecuación por el mínimo común múltiplo (MCM) de 2, 3 y 8, que es 24.

La ecuación simplificada será:

\(12x + 16x + 15x = 24 \times 3870\)

\(43x = 92880\)

\(x = \frac{92880}{43}\)

\(x \approx 2158.605\)

El precio del rollo de alambre es aproximadamente S/2158.605.

Para obtener la suma de las cifras, redondearemos el precio a dos decimales y luego sumaremos cada dígito:

Suma de las cifras \(= 2 + 1 + 5 + 8 + 6 + 0 + 5 \approx 27\)

La suma de las cifras del precio del rollo de alambre es aproximadamente 27.

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Answer:

answer is 7950

Step-by-step explanation:

compund interest=7950

\(6\frac{1}{3}\rule[0.35em]{10em}{0.25pt}M\rule[0.35em]{10em}{0.25pt}6.4\)

so, let's find their difference, take half of it and give it to 6⅓.

\(\stackrel{mixed}{6\frac{1}{3}}\implies \cfrac{6\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{19}{3}} ~\hfill 6.4\implies \cfrac{64}{10}\implies \cfrac{32}{5} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{32}{5}~~ - ~~\cfrac{19}{3}\implies \cfrac{(3)32~~ - ~~5(19)}{\underset{\textit{using this LCD}}{15}}\implies \cfrac{96-95}{15}\implies \cfrac{1}{15}\)

\(\stackrel{\textit{now let's take half of that}}{\cfrac{1}{15}\div 2\implies \cfrac{1}{15}\div \cfrac{2}{1}}\implies \cfrac{1}{15}\cdot \cfrac{1}{2}\implies \cfrac{1}{30} \\\\\\ \stackrel{\textit{now let's add it to }6\frac{1}{3}}{\cfrac{19}{3}+\cfrac{1}{30}}\implies \cfrac{10(19)~~ + ~~(1)1}{\underset{\textit{using this LCD}}{30}}\implies \cfrac{191}{30}\implies {\Large \begin{array}{llll} 6\frac{11}{30} =M\end{array}}\)

Answer:

See below :)

Step-by-step explanation:

I'm not sure what kind of measurements they want or if it wants you to round up but I hope this helps

Ceiling fan: 17.584 ft

Water bottle cap: 81.64 mm

To get circumference from radius you can just do the radius times 2 and then that result times pi (3.14)

so for ceiling fan I did 2.8x2= 5.6 then 5.6x3.14= 17.584

Bowl: 8.996815287 cm

Drum: 12.00636943 in

To get radius from circumference you can do the circumference number divided by pi (3.14) to get your diameter. The diameter is twice the length of the radius so then you can just divide it by 2.

we know ,

the probability=no of repeated value/total number

factorial of 3 and 2

and factorial of total number

=3ḷ×2ḷ/7ḷ

=3×2×1×2×1/7×6×5×4×3×2×1

=1/7×5×4×3

=1/420

=0.23809

or

=0.238

what is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.

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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!!

Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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At x=0

at x=1

at x=2

a=1/2

So correct option is (c).

Therefore , the required probability is therefore 1/151200, which is the answer to the probability problem.

The probability that a happening will happen or that the proposition is true is determined by a field of mathematics known as probability theory. A probability is a number between 0 and 1, where 1 represents certainty and 0 roughly represents the likelihood that an event will occur. A probability is a numerical expression of a certain event's likelihood or chance of happening. The percentages 0% - 100% and 0 to 1 can also be used to express probabilities. the percentage of times in an ideal collection of equally likely alternatives that an event occurs compared to all possible outcomes.

Here,

The six numbers can only be chosen in one way if the order chosen must match my phone number.

In 10P6 methods, six random digits from a possible total of ten can be chosen.

So the necessary probability is equal to 1/P. (10,6).

Alternative: Probability = 1/151200

The required probability is therefore 1/151200, which is the answer to the probability problem.

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Answer:

Step-by-step explanation:

The GCF of 8 and 9 is 1

Divide both terms by the GCF, 1:

8 ÷ 1 = 8

9 ÷ 1 = 9

The ratio 8 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :

This ratio is already in lowest terms.

Therefore:

8 : 9 = 8 : 9

The area of the figure can be obtained by splitting the figure into smaller components

The area of the irregular figure = Area of A + Area of B + Area of C

Area of A = L X B = 12 x 7 = 84 sq meters

Area of B = L X B = 5 X 8 = 40 sq meters

Area of C = L X B = 5 x 8 = 40 sq meters

Total area = 84 + 40 + 40 = 164 sq meters

If she only wants to spend $50 we have the domain:

and the function:

The relation between the radius and the diameter of a circle is given by:

r = d/2

where r is the radius and d the diameter.

Hence, radius is half of a diameter

For a sample of 64 low-income children, the estimate of the true mean complexity score is 7.64

Parameter refers to the mathematical quantity calculated using population while statistics refers to the mathematical quantity calculated using sample.

Given, the sample mean of 64 children is 7.64 and the estimated population parameter value is equal to its statistics. So, here the estimated value of the mean sentence complexity score is equal to its sample mean value which is 7.64

So, an estimate of the true mean is sample mean=\(\bar x\)=7.64

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The complete question is given below:

Each child in a sample of 64 low-income children was administered a language and communication exam. The sentence complexity scores had a mean of 7.64 and a standard deviation of 8.94. Complete parts a through d. a. From the sample, estimate the true mean sentence complexity score of all low-income children.

Markov chain model with periodic classes of states can be exemplified by a weather model and ergodic system in a Markov chain is the game of Monopoly.

Example of Markov chain with periodic classes of states:

One example of a Markov chain model with periodic classes of states is a weather model that includes seasonal variations. Let's consider a simplified model with three states: sunny, cloudy, and rainy. In this model, the weather is observed over a long period of time, and it is known that the weather tends to follow a cyclic pattern, transitioning from one season to another. The stochastic matrix representing this Markov chain will have non-zero probabilities for transitions between states within the same season (e.g., sunny to sunny, cloudy to cloudy, rainy to rainy), but zero probabilities for transitions between states in different seasons (e.g., sunny to rainy, rainy to cloudy). This creates periodic classes or groups of states that correspond to the different seasons, resulting in a Markov chain with periodic behavior.

Example of ergodic system in a Markov chain:

A common example of an ergodic system in a Markov chain is the game of Monopoly. In Monopoly, players move around the board based on the outcome of rolling dice. The states in this Markov chain correspond to the positions on the board. Each roll of the dice determines the transition probabilities from one state (position) to another. In an ergodic system, it means that it is possible to reach any state from any other state in a finite number of steps. In the context of Monopoly, this means that players can move from any position on the board to any other position by rolling the dice and following the game rules. The stochastic matrix for this Markov chain will have non-zero probabilities for transitions between all states, reflecting the possibility of moving to any position on the board from any other position.

In summary, a Markov chain model with periodic classes of states can be exemplified by a weather model that represents the cyclic nature of seasons, while an example of an ergodic system in a Markov chain is the game of Monopoly, where players can reach any position on the board from any other position through successive dice rolls and gameplay.

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Answer:

line plot

Step-by-step explanation:

A triangle has three bisectors, each of which is a line that divides one of the angles of the triangle into two equal parts.The incenter is equidistant from the three sides of the triangle and is the center of the inscribed circle, which is the circle that is tangent to all three sides of the triangle.

A triangle is a two-dimensional geometric shape that has three straight sides and three angles. It is one of the simplest and most fundamental shapes in geometry, and it is widely studied in mathematics, science, and engineering. Triangles can have different types of angles and sides, which give rise to various classifications and properties. For example, a triangle can be classified as equilateral (all sides and angles are equal), isosceles (two sides and two angles are equal), or scalene (all sides and angles are different).

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Answer:

Hi there! I'm dapianoplayer and I am a member of the Engagement Team here at Brainly! I want to congratulate you for posting your first answer and thank you for joining our community! If you have any questions about Brainly or need assistance with anything on the site, please feel free to reach out to me! Welcome to our community and we are so glad that you are here!

Step-by-step explanation:

A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold

Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.

Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.

If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.

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The given statement in the form of inequality is given as -

c - 6 > 24.

An inequality is used to make unequal comparisons between two or more expressions. For example → ax + b > c

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the statement as -

"Six subtracted from c is greater than 24"

We can write the inequality as -

c - 6 > 24

Therefore, the given statement in the form of inequality is given as -

c - 6 > 24.

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{Question in english -

Six subtracted from c is greater than 24}

The stem and leaf for the data values is

1 | 3 5 8

2 | 4 2

3 | 4 5 6

From the question, we have the following parameters that can be used in our computation:

Data values:

13, 15, 18, 24, 27, 34, 35, 36.

Sort in order of tens

So, we have

13, 15, 18, 24, 27, 34, 35, 36.

Next, we draw the stem and leaf as follows:

a | b

Where

a = stem

b = leave

number = a + b

Using the above as a guide, we have the following:

1 | 3 5 8

2 | 4 2

3 | 4 5 6

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Answer:

Para calcular el precio original de los auriculares antes del descuento, podemos usar la fórmula:

Precio original = Precio después del descuento / (1 - Porcentaje de descuento)

Donde "Precio después del descuento" es el costo de los auriculares después del descuento, y "Porcentaje de descuento" es el porcentaje aplicado como descuento. En este caso, el porcentaje de descuento es del 20%, es decir, 0.2 en términos decimales.

Sustituyendo los valores conocidos, obtenemos:

Precio original = 260 / (1 - 0.2)

Precio original = 260 / 0.8

Precio original = 325

Por lo tanto, el costo original de los auriculares antes del descuento era de $325.:

Answer:

The answer is D. (1-0.2)h=260

Step-by-step explanation:

Answer:

Greatest growth was between : year 3 and year 4

Percentage growth was about 32%

Step-by-step explanation:

Given the data:

Year : ______1 ____ 2 _____ 3 _______ 4

Students: __ 14 ___ 19 _____ 25 ______ 33

Number of students :

Year 1 & year 2 = 19 - 14 = 5

Year 2 & year 3 = 25 - 19 = 6

Year 3 & year 4 = 33 - 25 = 8

Hence,The two years at which the greatest growth was observed is between year 3 and year 4.

Percentage growth :

((33 - 25) / 25) * 100%

(8 / 25) * 100%

0.32 * 100%

= 32%

Answer:

the slope is 23

Step-by-step explanation:

x = 18 is the solution of the linear equation.

What are instances of linear equations?

5(x-8)=2(x+7)

5x - 40 = 2x + 14

5x - 2x = 14 + 40

3x = 54

x = 18

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