Someone please help me!

The length of side of BC is determined as 10.0 m.

option C.

The length of side of BC is calculated from the sum of the length of OB and OC as presented by the diagram.

Congruent triangles are triangles that have the same shape and size, but may be oriented differently or positioned differently in space. In other words, two triangles are considered congruent if their corresponding sides and angles are equal in measure. When two triangles are congruent, they are essentially identical to each other, and they can be superimposed on each other by translations, rotations, and reflections.

if triangle AOB is congruent to triangle BDC, then we can assume the following;

length of side AB = OB = OC = 5 m

BC = 5 m + 5m = 10 m

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The standard form of the equation of an ellipse with center at (h, k), semi-major axis of length a, and semi-minor axis of length b is:

(x-h)²/a² + (y-k)²/b² = 1

Comparing this to the given equation, we have:

(x-2)²/3² + (y-3)²/2² = 1

So the center is (h, k) = (2, 3), the semi-major axis is a = 3, and the semi-minor axis is b = 2.

To find the foci, we need to use the formula:

c = sqrt(a² - b²)

where c is the distance from the center to each focus. In this case, we have:

c = sqrt(3² - 2²) = sqrt(5)

So the foci are located at a distance of sqrt(5) from the center along the major axis, which is parallel to the x-axis. The x-coordinates of the foci are:

2 + sqrt(5) and 2 - sqrt(5)

So the foci are:

(smaller x-value) = (2 - sqrt(5), 3)

(larger x-value) = (2 + sqrt(5), 3)

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Answer:

1/2

Step-by-step explanation:

rise/run

rises 1

runs 2

Let x be the full price of each Mighty Mare toy pony.

During the holiday sale, Pamela purchased each toy at $3 less than its full price. Therefore, the price she paid during the sale was:

x - $3

Since she bought 4 of these toys, her total cost during the sale was:

4(x - $3)

We also know that Pamela paid a total of $52 during the sale. Therefore, we can set up an equation:

4(x - $3) = $52

Simplifying this equation, we get:

4x - $12 = $52

Adding $12 to both sides, we get:

4x = $64

Dividing both sides by 4, we get:

x = $16

Therefore, each Mighty Mare toy pony costs $16 at full price.

Let's assume that the full price of each Mighty Mare toy pony is x dollars. Since Pamela purchased 4 Mighty Mare toy ponies, each at $3 less than its full price, the cost of each toy pony during the sale would be (x - 3) dollars.

To find the equation that represents this situation, we can set up the equation based on the given information:

4 * (x - 3) = 52

In this equation, 4 represents the number of Mighty Mare toy ponies purchased, (x - 3) represents the cost of each toy pony during the sale, and 52 represents the total amount paid by Pamela.

By solving this equation, we can determine the value of x, which represents the full price of each Mighty Mare toy pony.

Answer:

4

Step-by-step explanation:

\( \frac{2}{3} \times 6 = 4\)

I think she can make 4 throw pillows if she should use 6 yards of fabric

i hope this helped

ANSWER:

M = 5

Step 1: Add 1 to both sides of the equal sign

-6m-1+1=31+1

-6m=-30

Step 2: Divide both sides by -6

-6m/6 = -30/-6

(Note: Both -6 values (The denominators) will cancel each other out, which is why the end result is 5 so, again, M=5)

Answer:

D. x<=–7

Step-by-step explanation:

An open circle at the end of an interval means that the end point is not included in the interval, i.e. strictly less than or strictly greater than. A closed circle means the end point is included. Also to know is, what does an open circle mean?

The fοrmula D = m/4, we can calculate the diffusiοn cοnstant 'D' as:

D = 1.24/4 = 0.31

Diffusiοn is the prοcess by which particles οf a substance mοve frοm an area οf high cοncentratiοn tο an area οf lοwer cοncentratiοn, resulting in a net mοvement οf particles dοwn their cοncentratiοn gradient.

This οccurs due tο the randοm mοtiοn οf individual particles, which leads tο a tendency fοr particles tο spread οut and becοme evenly distributed οver time.

Answer tο Questiοn 9:

The relatiοnship between average displacement squared (R²) and time (t) is linear.

Answer tο Questiοn 10:

The variable 'R2' in the diffusiοn equatiοn cοrrespοnds tο 'y' in the trendline equatiοn, and the variable 't' in the diffusiοn equatiοn cοrrespοnds tο 'x' in the trendline equatiοn.

Answer tο Questiοn 11:

We can sοlve fοr the diffusiοn cοnstant 'D' in terms οf the slοpe 'm' and a cοnstant 'c' by equating the diffusiοn equatiοn and the trendline equatiοn.

The diffusiοn equatiοn: R2 = 4Dt

The trendline equatiοn: y = mx + b

Substituting the cοrrespοnding variables, we get:

R2 = y, D = cοnstant, t = x, m = slοpe, b = cοnstant

Sο, we have:

R2 = 4Dt

y = mx + b

Equating the twο equatiοns, we get:

y = 4Dx + 0 (since b = 0)

Cοmparing this with the trendline equatiοn y = mx + b, we can see that:

m = 4D

Therefοre, we can sοlve fοr 'D' as:

D = m/4

Answer tο Questiοn 12:

Given the trendline equatiοn y = 1.24x + 5.63, we can see that the slοpe 'm' is 1.24.

Using the fοrmula D = m/4, we can calculate the diffusiοn cοnstant 'D' as:

D = 1.24/4 = 0.31

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The system of linear inequalities that is represented by the graph is C. y > x – 2 and x + 2y < 4.

The first thing to to find the slope. This will be:

m = y2 - y1/x2 - x1

m = 0+2/2-0

m = 2

The equation in slope intercept form will be:

y = mx + b. The inequality will be y > x - 2.

Again, the slope will be:

= (0 - 2)/(4 - 0)

= -1/2

The equation will be -1/2x + 2.

Multiply both sides by 2.

2y < -x + 4

x + 2t < 4

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Answer:

Another order pair could be (30,10).

Every y value is "one-third of" every x value.

Answer:

linear pair

Step-by-step explanation:

Answer:

Angles 1 and 3 are complement angles.

Step-by-step explanation:

This is because complement angles;

\({ \boxed{ \rm{ \angle 1 + \angle 2 = 180 \degree}}}\)

To determine if it would be unusual to randomly select 12 people and find that fewer than 5 recognize the Yummy brand name, we can use the concept of standard deviation and z-scores.

First, we need to calculate the z-score, which measures how many standard deviations an observation is from the mean. The formula for calculating the z-score is:

z = (x - μ) / σ

where

z = (5 - 9.3) / 0.99

z = -4.394

Next, we can consult a standard normal distribution table or use statistical software to find the corresponding percentile associated with the z-score. This percentile represents the probability of randomly selecting a group of 12 people with fewer than 5 recognizing the Yummy brand name.

In this case, the z-score of -4.394 corresponds to an extremely low percentile, close to 0.

The exact probability can be determined using the z-score and the standard normal distribution table.

Since the probability is extremely low, it would be considered unusual to randomly select 12 people and find that fewer than 5 recognize the Yummy brand name.

However, it's important to note that the definition of "unusual" may vary depending on the specific criteria or threshold chosen.

In statistical terms, a common threshold for defining unusual events is a significance level of 5% (or 0.05). If the probability of observing the event is lower than the significance level, it is considered unusual.

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Answer:

2x + 2

Step-by-step explanation:

Given

\(\frac{x^3+2x^2}{x}\) ( divide each term on the numerator by x )

= x² + 2x

Differentiate each term using the power rule

\(\frac{d}{dx}\) (a\(x^{n}\) ) = na\(x^{n-1}\) , then

\(\frac{d}{dx}\) (x² + 2x ) = 2x + 2

Answer

Step-by-step explanation:

4xc=4c

4x-2= -8

4c-8

\(\huge\text{Answer:}\)

\(\huge\mathrm{4c-8}\checkmark\)

\(\huge\text{Solution:}\)

Hey there, hope you are having a nice day! (:

Let's clarify what the Distributive Property means.

Remember, it states that

\(\huge\text{a(b+c)=ab+ac}\)

Now, let's solve the given math problem:

\(\bigstar\) Solve:

\(\huge\bold{4(c-2)}\\\huge\bold{4c-8}\)(Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

\(\huge\bold{-MistySparkles^**^*}\)

Answer:

Step-by-step explanation:

The area of a square is x²

This means it is  x² = 64cm²

x= 8cm <------ One side

Since it is a square, all sides are the same length.

8*4 = 32cm

Side of the square: 8 cm

Perimeter: 32cm

First, we need to solve for θ:

But, since the cosine is a function that takes the same values every 3π/2, if we add this to the solution:

Thus, the two solutions are:

Answer:

y = -2x - 2

Step-by-step explanation:

Given:

m = -2

Slope-intercept:

y - y1 = m(x - x1)

y + 8 = -2(x - 3)

y + 8 = -2x + 6

y = -2x - 2

Answer:

Rocío respondió 43 preguntas correctas y 17 incorrectas.

Step-by-step explanation:

Dado que en las olimpiadas de Matemática, Rocío representó a su colegio, y la prueba consistía en 60 problemas, de los cuales cada respuesta correcta valía 4 puntos y por cada respuesta incorrecta había un punto en contra, y luego del examen, Rocío obtuvo un puntaje de 155, y ella respondió todas las preguntas y desea saber cuantas fueron correctas y cuantas incorrectas, para determinar dicha duda se debe realizar el siguiente calculo:

60 x 4 = 240

40 x 4 - 20 = 140

45 x 4 - 15 = 165

42 x 4 - 18 = 150

43 x 4 - 17 = 155

Por lo tanto, Rocío respondió 43 preguntas correctas y 17 incorrectas.

Answer:

Step

Y-0=-3/4(x-8)

Y=-3/4x+6

Let X be a geometric random variable with parameter p = and let Y be a Poisson random variable with parameter A 4. Assuming X and Y independent, then the expected value of the perimeter of the rectangle is 2( + 5), and the expected value of the area is 5.

For the expected values of the perimeter and area of the rectangle, we need to calculate the expected values of X and Y first, as well as their respective distributions.

We have,

X is a geometric random variable with parameter p =

Y is a Poisson random variable with parameter λ = 4

X and Y are independent

For a geometric random variable with parameter p, the expected value is given by E(X) = 1/p. In this case, E(X) = 1/p = 1/.

For a Poisson random variable with parameter λ, the expected value is equal to the parameter itself, so E(Y) = λ = 4.

Now, let's calculate the expected values of the perimeter and area of the rectangle using the given side lengths X and Y + 1.

Perimeter = 2(X + Y + 1)

Area = X(Y + 1)

To find the expected value of the perimeter, we substitute the expected values of X and Y into the equation:

E(Perimeter) = 2(E(X) + E(Y) + 1)

            = 2( + 4 + 1)

            = 2( + 5)

To find the expected value of the area, we substitute the expected values of X and Y into the equation:

E(Area) = E(X)(E(Y) + 1)

       = ( )(4 + 1)

       = 5

Therefore, the expected value of the perimeter of the rectangle is 2( + 5), and the expected value of the area is 5.

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The formula for the surface area of a cylinder is S = 2πr² + 2πrh, where r is the radius of the base of the cylinder and h is the height of the cylinder.

To find the surface area of a cylinder, we need to add the areas of its top and bottom circles, and the area of its curved lateral surface. The formula for the surface area of a cylinder is S = 2πr² + 2πrh, where r is the radius of the base of the cylinder and h is the height of the cylinder.

To calculate the surface area of a cylinder, we need to know its dimensions, which are the radius and height. Once we have these values, we can plug them into the formula and calculate the surface area in units of π.

Understanding the formula for the surface area of a cylinder is important in many fields, such as engineering, architecture, and physics, where cylinders are commonly used in various applications, such as pipes, tanks, and engines.

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The expected frequency of east campus and passed is C. 42 students

The table for expected frequency is ,

East Campus West Campus Total

Passed (84*100)/22=42 (84*100)/200 =42 84

Failed (116*100)/200=58 (116*100)/22=58 116

Total 100 100 200

Passed = 84×100/200

= 42

Therefore, the expected frequency of East Campus and Passed is 42 students.

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Answer:

the 3rd answer is the one which can actually form a proper plot off of that sentence

Answer:

The 3rd choice

Cinderella we know is the name of a princess in a story not a plot.

"In the woods" doesn't completely describe a plot.

so the answer is "The big bad wolf wants to eat the pigs, so he blows down their houses."

Using Euler integration, the next values of x and y can be determined as follows:

x_next = x_current + delta_X

y_next = y_current + delta_X * y'

Euler integration is a numerical method used to approximate solutions to differential equations. It is based on the concept of dividing the interval into small steps and using the derivative at each step to calculate the next value. In this case, we are given the current values of x=2, y=8, and y'=9, with a step size of delta_X=5.

To determine the next values of x and y, we use the following formulas:

x_next = x_current + delta_X

y_next = y_current + delta_X * y'

Substituting the given values into the formulas, we have:

x_next = 2 + 5 = 7

y_next = 8 + 5 * 9 = 53

Therefore, the updated values of x and y using Euler integration are x=7 and y=53.

It's important to note that Euler integration provides an approximate solution and the accuracy depends on the chosen step size. Smaller step sizes generally lead to more accurate results. Other numerical methods, such as Runge-Kutta methods, may provide more accurate approximations.

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The statement that describes the graph is (c)  Scott pays his nephew $10 per hour, and he initially had $900 for extra labor.

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

The graph (added as an attachment)

The equation is a linear equation and a linear equation is represented as

y = mx + c

Where

From the graph, the two points are (0, 900) and (800, 10).

So, we start by calculating the slope using

slope = (y₂ - y₁)/(x₂ - x₁)

Substitute the known values in the above equation, so, we have the following representation

m = (900 - 800) / (0 - 10)

m = - 100 / 10

Evaluate

m = -10

So, we have

y = -10x + c

Substitute (0, 900) in y = -10x + c

900 = -10 x 0 + c

So, we have

c = 900

Then the equation becomes

y = - 10x + 900

This means that Scott pays his nephew $10 per hour, and he initially had $900 for extra labour.

Hence, the correct option is C.

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Therefore, the probability of either A or B occurring is 0.35, or 35%.

Probability is the measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event A occurring is denoted by P(A), and it is calculated by dividing the number of outcomes favorable to A by the total number of possible outcomes. Probability theory is widely used in various fields such as mathematics, statistics, science, economics, finance, and engineering, among others, to model and analyze uncertain phenomena and make informed decisions based on data and evidence.

Here,

We can use the formula for the probability of the union of two events:

P(A or B) = P(A) + P(B) - P(A and B)

We are given that:

P(A) = 0.20

P(B) = 0.30

P(A and B) = 0.15

Plugging these values into the formula, we get:

P(A or B) = 0.20 + 0.30 - 0.15

P(A or B) = 0.35

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There are 256 ways in total and 56 possible outcomes contain exactly three heads. The possible outcomes contain at least three heads is 219.

Consider the provided information.

A coin is flipped eight times where each flip comes up either heads or tails.

Part (a) How many possible outcomes are there in total?

Each time we flip a coin it comes up either heads or tail.

Therefore the total number of ways are: 2⁸ = 256

Hence, there are 256 ways in total.

Part (b) contain exactly three heads?

We want exactly 3 heads, therefore,

n=8 and r=3

According to the definition of combination:

To get exactly 3 heads,

n=8 and r=3

(⁸C₃ ) = 8! / 3!(5!) = 56.

Therefore, there are 256 ways in total and 56 possible outcomes contain exactly three heads. The possible outcomes contain at least three heads is 219.

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to find the sum of the give equation is to add both equations

so,

4x^2 + x - 4

+

2x^2 - 6x + 2

=

6x^2 - 5x - 2

therefore the correct answer is option A. 6x^2 - 5x - 2