212.65 x 10? = 21,265.0
A 102
B 109
C 103

The radical equation that has an extraneous solution is 5✓x + 10 - 15 = 30

Based on the information given, the radical equation that has an extraneous solution is 5✓x + 10 - 15 = 30.

This will be:

5✓x + 10 - 15 = 30

Collect like terms

5✓x = 30 - 10 + 15

5✓x = 35

✓x = 35/5

✓x = 7

x = 7² = 49

The equation that does not have an extraneous solution will be ✓x + 1 + 7 = 4. Here, ✓x = -4 and has no solution.

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Answer:

to get the value of xtake 4x + 2x + 36 degrees is equals to 180 degrees this is because 4X and 2x + 36 degrees are angles on a straight line because 4X corresponds to the angle on top of 2x + 36 degrees so back to the equation we collect the like terms it will be 4 x + 2 x is equals to 180 degrees minus 36 degrees 6 x is equals to 144 x is equals to 24 degrees

Answer:

19%

Step-by-step explanation:

Answer:

The percent of change in price rounded to the nearest tenth :

($999/1099$) x 100 = 90.9 %

So the price of computers decreased by 9.10 % from the previous year

Step-by-step explanation:

Answer:

1050 people

Step-by-step explanation:

if there are x people at a conference

then 40% of x = 420

40% can be written as 40/100 --> 4/10 --> 2/5

2/5 * x = 420

x = 420 * 5/2

x = 1050

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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32. Solving integral equation using the convolution theoremThe convolution theorem states that the convolution of two signals in the time domain is equivalent to multiplication in the frequency domain.

Therefore, to solve the given integral equation using the convolution theorem, we need to take the Fourier transform of both sides of the equation.

y(t) = ∫_{-∞}^{∞} sinh(−)g() + ∫_{-∞}^{∞} sinh(−−)g()Taking the Fourier transform of both sides, we haveY() = 2π[G()sinh() + G()sinh(−)]where Y() and G() are the Fourier transforms of y(t) and g(t), respectively.Rearranging for y(t), we gety(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]e^(j) d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)](cos()+j sin())d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d+ j(1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()dTherefore, the solution to the integral equation is given by:y(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d + (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()d

It is always important to understand the principles that govern an integral equation before attempting to solve them. In this case, we used the convolution theorem to solve the equation by taking the Fourier transform of both sides of the equation and rearranging for the unknown signal. The steps outlined above provide a comprehensive solution to the equation.  33. Fourier series representation of f(x)

The Fourier series representation of a periodic signal is an expansion of the signal into an infinite sum of sines and cosines. To find the Fourier series representation of the given signal, we need to first compute the Fourier coefficients, which are given by:an = (1/T) ∫_{-T/2}^{T/2} f(x)cos(nx/T) dxbn = (1/T) ∫_{-T/2}^{T/2} f(x)sin(nx/T) dxFurthermore, the Fourier series representation is given by:f(x) = a_0/2 + Σ_{n=1}^{∞} a_n cos(nx/T) + b_n sin(nx/T)where a_0, a_n, and b_n are the DC and Fourier coefficients, respectively. In this case, the signal is given as:f(x) = -1, -π

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Answer:

−7<x<7

Step-by-step explanation:

Let's find the critical points of the inequality:

x2=49

x=±√49(Take square root)

x=7 or x=−7

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x<−7(Doesn't work in original inequality)

−7<x<7(Works in original inequality)

x>7(Doesn't work in original inequality)

Hope this helped :)

Answer:

0

Step-by-step explanation:

discriminant,b2-4ac

=4^2-4×1×4

=16-16=0

Answer:

Step-by-step explanation:

you hav to times it

The modeling process begins with the framing of a conceptual model that shows the relationships between the various parts of the problem being modeled. This model helps to identify the mathematical correlations between variables and provides a foundation for developing a more detailed and accurate mathematical model.

The modeling process begins with the framing of a mathematical model that shows the relationships between the various parts of the problem being modeled. This model is often based on data analysis and utilizes statistical techniques to establish correlations between the different variables in the problem. Ultimately, the goal of the modeling process is to create a predictive tool that can be used to make informed decisions about the problem at hand.

Process models involve graphically representing processes or functions that capture, manage, store, and distribute information between the system and its environment and physical objects. One type of process model is the flowchart (DFD). A data flow is a diagram that shows the movement of data between external sources and processes and the data stored in the system. While several different tools have been developed for modeling, we focus only on data streams as they are effective tools for modeling. While not all organizations use all analytical methods, including these methods such as data flow, they have a significant impact on the development process.

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Answer

27^0.5+0.25 or 3^0.5+0.25

3^2t + 1/4 expression is equivalent to 81^0.5t+0.25​.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression  81^0.5t+0.25​

Simplifying the given expression:

=> 81^0.5t+0.25​

Simplify using the exponent power rule: (a^m)^n = (a)^mn

Convert decimal to fraction:

=> (3⁴ )^0.5t + 25/100

Cross out the common factor:

=> 3^2t + 1/4

therefore, 3^2t + 1/4 expression is equivalent to 81^0.5t+0.25​.

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The simplification of 7x^2(6x + 3x^2 - 4) is 42x^3 + 21x^4 - 28x^2. The powers of x are multiplied accordingly, and the coefficients are distributed and combined.

To simplify the expression 7x^2(6x + 3x^2 - 4), we can distribute the 7x^2 to each term within the parentheses:

7x^2 * 6x + 7x^2 * 3x^2 - 7x^2 * 4

This simplifies to:

42x^3 + 21x^4 - 28x^2

Therefore, the correct simplification of the expression is 42x^3 + 21x^4 - 28x^2. The powers of x are combined accordingly, and the coefficients are multiplied accordingly. This simplification is obtained by applying the distributive property and combining like terms.

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As per the 95% confidence interval, the true average age of all students in the university is approximately 23 to 24.

Confidence interval

Confidence interval means the interval calculation, obtained from the observed data that holds the actual value of the unknown parameter.

Given,

A random sample of 64 students at a university showed an average age of 23 years and a sample standard deviation of 3 years.

And we need to find the 95% confidence interval for the true average age of all students in the university.

While we looking through the given question we have identified the following,

Number of samples = 64

Average age = 23

Standard deviation = 3

Confidence interval = 95%

Based on this confidence interval, the z score is 1.96

According to the formula,

u = 23 ± 1.96 x 3/√64

u = 23  ± 1.96 x (3/8)

u = 23  ± 1.96 x 0.375

u = 23  ± 0.735

u = 23.735, 22.635

Therefore, the average age of the student is approximately 23 to 24.

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Hence, Six ( 6 ) alarms are used to certain that a burglar is trying to enter and get detected by at least one alarm.

Given;

There are many automatic burglar alarms in a sizable bank vault.

The likelihood that a burglar will be discovered by a single alarm is 0.55.

We need to get;

How many of these alarms should be installed to be 99% confident that at least one alert will detect a thief attempting to enter

The probability of one alarm has a likelihood of failing to detect a burglar is

1 - 0.55 = 0.45

Let's say there are ' n ' alerts.

The likelihood that not one of the ' n ' alarms will sound is 0.45ⁿ.

The likelihood that at least one of the alarms catches the intruder is then just 1 - 0.45ⁿ.

This probability should be 99%, as desired.

In other words, if we solve for n and get

1 - 0.45ⁿ = 0.99

n = 5.76

n ≅ 6

Therefore, 6 alarms were utilized.

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Answer:

Step-by-step explanation:

-11 -(23)+(-6)-(+2)-5+1

-11 - 23 - 6 - 2 - 5 + 1

-47 + 1

-46

i. weekly receipts at a clothing boutique

ii. monthly demand for an automotive part

Time series data refers to information collected and recorded at regular intervals over a specific period. In the case of i. weekly receipts at a clothing boutique and ii. monthly demand for an automotive part, both data sets are examples of time series data.

Time series data consists of observations recorded over regular intervals, allowing for the analysis of patterns and trends over time. In i. weekly receipts at a clothing boutique, the data is collected on a weekly basis, providing insights into the boutique's revenue fluctuations over different weeks. Similarly, ii. monthly demand for an automotive part captures the demand for the part on a monthly basis, enabling analysis of monthly variations and seasonal patterns.

On the other hand, iii. quarterly sales of automobiles do not fall under time series data. While it represents sales data, the intervals between measurements are not consistent enough to qualify as time series. Quarterly intervals are less frequent and may not capture shorter-term trends or variations as effectively as weekly or monthly intervals.

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Note that the proof that ΔABC ≅ ΔEDC is given as follows:

According to the ASA rule, if any two angles and sides included between the angles of one triangle are comparable to the corresponding two angles and sides included between the angles of the second triangle, the two triangles are said to be congruent.

Thus, given the above statements, it is clear that ΔABC ≅ ΔEDC

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Full Question:

Angle BAC is congruent to Angle DEC: Given

C is the midpoint of AE: Given

Prove triangle ABC is congruent to triangle EDC

What are the statements and reasons for this proof?

$35

He would need $35 to buy 7 pizzas because if you divide 25 and 5, you would get 5.

5+5+5+5+5+5+5=35

5x7=35

Answer:

$35

Step-by-step explanation:

So basically to find the unit price we need to craft an equation. Lets imagine one pizza is p.

We can craft this equation:

5p = 25

Divide both sides by 5

p = 5

How we just multiply that unit price by 7 to get 35, which is the answer

I put a lot of thought and effort into my answers, so I would really appreciate a Brainliest!

Answer:

Jessica, she has 1/3 or 0.333

Step-by-step explanation:

Bob has 1/4 which equals 0.25

and Jessica has 1/3 which equals 0.333

Jessica has the highest free throw ratio than Bob. Jessica's ratio of throws is 1:3 and Bob's ratio of throws is 1:4.

Given that,
Jessica made 8 out of 24 free throws. Bob made 5 out of 20 free
throws.
To determine who has the highest free throw ratio.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Jessica made 8 out of 24 free throws.
Ratio = 8 /24 = 1 / 3
Bob made 5 out of 20 free
Ratio = 5 / 20 = 1 / 4
1 / 3 > 1 / 4

Imply, Jessica has the highest free throw ratio than Bob.

Thus, Jessica has the highest free throw ratio than Bob.

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Answer:

Rewrite the whole as an equivalent fraction 2.1 Subtracting a whole from a fraction. Rewrite the whole as a fraction using 2 as the denominator.

Answer: 240 ÷ 3 = c

Step-by-step explanation: The answer to the equation 80 dollars per night.

hope this helps

Answer:

I believe the answer is D, have a good day and God bless :)

Answer:

1082 i think i did 8656 divided by 8

12y = 4x + 8

A = 12y -4x + 8

B = 8yx = 8

C = yx =8/8

=yx = 1

Answer:

B 9

Step-by-step explanation:

one side is 3 units long, to find the area the square is 3x3

The area of the square DEFG, given D(0,0) and E(3,0) is 9 square units.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

We have that all the four sides of a square are equal.

Area of a square = a², where "a" is the side length.

Given are two vertices of the square, D(0,0) and E(3,0).

Using the distance formula,

DE = √(3 - 0)² + (0 - 0)² = √9 = 3 units

Area = 3² = 9 units²

Hence the area of the square is 9 square units.

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the mean of the sampling distribution for the avocados will also be 6 oz.

The mean of the sampling distribution for this population can be determined by the same mean as the population mean. In this case, the mean of the population of avocados is given as 6 oz. The sampling distribution refers to the distribution of sample means taken from the population.

According to the central limit theorem, when sampling from a population, regardless of its underlying distribution, the sampling distribution of the sample means will be approximately normally distributed, centered around the population mean. Thus, the mean of the sampling distribution will be equal to the population mean.

Therefore, in this scenario, the mean of the sampling distribution for the avocados will also be 6 oz. This implies that, on average, the mean weight of the samples drawn from the population will be 6 oz, reflecting the central tendency of the population.

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Complete question is below

A farmstand sells avocados. The population of avocados is normally distributed with a mean of 6 oz and standard deviation of 1 oz. What is the mean of the sampling distribution for this population?

Answer:

AC=11.38 cm

Step-by-step explanation:

The Law of Cosines

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

\(c^2=a^2+b^2-2ab\cos x\)

The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:

\(AC^2=17^2+13^2-2*17*13*\cos42^\circ\)

\(AC^2=289+169-442*0.7431\)

\(AC^2=129.53\)

\(AC=\sqrt{129.53}\)

AC=11.38 cm

The total cost of the puzzles sold, including tax is $5604.

Multiplication is the process of calculating the product of two or more numbers. In Maths, the basic explanation of multiplication is adding a number, with respect to another number, repeatedly.

Given that, 934 puzzles are sold, each costs $6, including the taxes,

We need to find the cost of sold toys,

To find the same, we will multiply the cost of one toys with the number of toys sold,

So, the total cost = 934 x 6 = 5604

Hence, the total cost of the puzzles sold, including tax is $5604.

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The Kanizsa triangle illusion helps us understand that our perceptual experiences are not simply the sum of the individual sensory inputs, but rather the result of a complex and variable process of perceptual organization.

Gestalt is a German word meaning "shape" or "form," and in psychology, it refers to a set of principles that describe how people perceive and organize sensory information into meaningful wholes. These principles propose that the whole is greater than the sum of its parts, and that we tend to organize our perceptual experiences into coherent, holistic forms rather than isolated, unrelated sensations.

Experimental examples such as the Necker cube, visual cliff, and others help demonstrate principles of perceptual organization by highlighting how our minds naturally try to impose structure and order on sensory input. For example, the Necker cube is a two-dimensional drawing that can be perceived as a cube that can be viewed from different angles. However, as one stares at the image, it appears to flip back and forth between different possible interpretations. This phenomenon illustrates the Gestalt principle of figure-ground, which describes how we tend to perceive objects as being distinct from their surrounding context.

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