what are the solutions of x^2+25=0

Answer:

391

Step-by-step explanation:

100-25=75

75%-> 293.25

100%-> 391

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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The height of the monument is 570 feet. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

To solve this problem, we need to use the concept of similar triangles. We can set up a proportion: (height of Monument) / (length of Monument's shadow) = (height of tourist) / (length of tourist's shadow)

Let x be the height of the Monument. Then we have:

x / 285 = 5 / 2.5

Cross-multiplying, we get:

2.5x = 5 * 285

Simplifying, we get:

x = 570

Therefore, the Monument is 570 feet tall.

To find the height of the monument, we can use the concept of similar triangles. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

Set up a proportion using the height and shadow length of the tourist and the monument:

(height of monument) / (shadow of monument) = (height of tourist) / (shadow of tourist)

Let x represent the height of the monument. Then:

x / 285 = 5 / 2.5

Now, solve for x:

x = (5 / 2.5) * 285
x = 2 * 285
x = 570 feet

The height of the monument is 570 feet.

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Decreasing the period to 1 ms helps ensure bounces will not be noticed (option c).

1. The synchsm samples the state of button A0 every 5 ms. This means that every 5 ms, it checks whether the button is pressed (1) or not pressed (0).

2. The button has a bounce duration of up to 20 ms. When the button is pressed or released, it may exhibit temporary fluctuations in its state due to mechanical factors. This is known as "button bounce."

3. To ensure that bounces are not noticed, the synchsm needs to accurately capture the true state of the button and filter out any temporary fluctuations.

4. Option (a) states that a bounce will never be noticed. However, since the button can bounce for up to 20 ms, this option is not true.

5. Option (b) suggests increasing the period to 30 ms. Increasing the period between samples would provide more time for the button to settle and reduce the chances of capturing a bounce. However, a period of 30 ms is still longer than the maximum bounce duration of 20 ms, so this option does not guarantee that bounces will not be noticed.

6. Option (c) proposes decreasing the period to 1 ms. By reducing the period, the synchsm can sample the button state more frequently, increasing the chances of capturing the true state and minimizing the impact of bounces. This option helps ensure that bounces will not be noticed.

7. Option (d) suggests eliminating the period and running the synchsm as fast as possible. However, without a period, the synchsm would continuously sample the button state, making it susceptible to capturing bounces. Therefore, this option does not help ensure that bounces will not be noticed.

Based on the above analysis, option (c) is the correct answer as decreasing the period to 1 ms helps ensure bounces will not be noticed.

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To find the arc length for the curve y = 3x² − (1/24) ln x with the starting point p0(1, 3), we need to integrate the expression √(1 + (dy/dx)²) with respect to x over the desired interval. The resulting value will give us the arc length of the curve.

To find the arc length, we need to integrate the expression √(1 + (dy/dx)²) with respect to x over the given interval. In this case, the given function is y = 3x²− (1/24) ln x. To compute the derivative dy/dx, we differentiate each term separately. The derivative of 3x² is 6x, and the derivative of (1/24) ln x is (1/24x). Squaring the derivative, we get (6x)² + (1/24x)².

Next, we substitute this expression into the arc length formula:

∫√(1 + (dy/dx)²) dx. Plugging in the squared derivative expression, we have ∫√(1 + (6x)² + (1/24x)²) dx. To evaluate this integral, we need to employ appropriate integration techniques, such as trigonometric substitutions or partial fractions.

By integrating the expression, we obtain the arc length of the curve between the starting point p0(1, 3) and the desired interval. The resulting value represents the distance along the curve between these two points, giving us the arc length for the given curve.

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Answer: When an object accelerates, it changes it velocity over time.

Answer: The answer would be B which is 4

Step-by-step explanation:

I took the quiz and got it right.

Answer:

The equation of a linear function is expressed as: y = mx + b where m is the slope of the line or how steep it is, b represents the y-intercept or where the graph crosses the y-axis and x and y represent points on the graph.

Step-by-step explanation:

Answer:

15 times for it to be equal, 15+ to be cheaper

Step-by-step explanation:

135+2x=11x

135=9x

135/9=x

15=x

135+2(15)=165$

11(15)=165$

Answer:

16 times

Step-by-step explanation:

Create an inequality where x represents the number of times he rents out the court:

2x + 135 < 11x

Solve for x:

135 < 9x

15 < x

So, Tom would have to rent the court out 16 times for it to be cheaper

Among the given points, only the point (-2.5, 4) lies in the solution set of the equation (x - 2)²/25 + (y - 3)²/4 < 1. (option c)

To determine which point lies in the solution set, we need to substitute the coordinates of each point into the equation and check if the inequality holds true.

a) (4, –0.5):

Substituting the coordinates (4, -0.5) into the equation, we get:

(4 - 2)²/25 + (-0.5 - 3)²/4

= 2²/25 + (-0.5 - 3)²/4

= 4/25 + (-3.5)²/4

= 4/25 + 12.25/4

= 0.16 + 3.0625

= 3.2225

Since 3.2225 is not less than 1, the point (4, -0.5) does not lie in the solution set.

b) (3, –2.5):

Substituting the coordinates (3, -2.5) into the equation, we get:

(3 - 2)²/25 + (-2.5 - 3)²/4

= 1²/25 + (-5.5)²/4

= 1/25 + 30.25/4

= 0.04 + 7.5625

= 7.6025

Again, 7.6025 is not less than 1, so the point (3, -2.5) does not lie in the solution set.

c) (–2.5, 4):

Substituting the coordinates (-2.5, 4) into the equation, we get:

((-2.5) - 2)²/25 + (4 - 3)²/4

= (-4.5)²/25 + 1²/4

= 20.25/25 + 1/4

= 0.81 + 0.25

= 1.06

Since 1.06 is less than 1, the point (-2.5, 4) lies in the solution set.

d) (–4.5, –3):

Substituting the coordinates (-4.5, -3) into the equation, we get:

((-4.5) - 2)²/25 + (-3 - 3)²/4

= (-6.5)²/25 + (-6)²/4

= 42.25/25 + 36/4

= 1.69 + 9

= 10.69

Like the previous points, 10.69 is not less than 1, so the point (-4.5, -3) does not lie in the solution set.

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Complete Question:

Given equation

(x - 2)²/25 + (y - 3)²/4 < 1,

Which point lies in the solution set?

a) (4, –0.5)

b) (3, –2.5)

c) (–2.5, 4)

d) (–4.5, –3)

Answer:104

Step-by-step explanation:

So you would take 260 miles and divide by 4 hours to get 65 mph. And since the rate slows by 20%, you would subtract 13 from 65 giving you 52. So the new speed of the tornado is 52 mph. And take that and multiply it by 2 hours to get 104 miles.

The solution of the given inequality is h > 4.5 and it is shown by the blue-shaded line in the number line.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given inequality,

2 > 8 - (4/3)h

Subtract both sides by 2

0 > 8 - 2 - (4/3)h

0 > 6 - (4/3)h

Subtract 6 on both sides,

-6 > -(4/3)h

Multiply by -3/4

-6(-3/4) <-(4/3)(-3/4)h   (since inequality sign changes by multiplying with negative)

h > 18/4

h > 4.5

The plot of this region in the number line is shaded with a blue line.

Hence "The solution of the given inequality is h > 4.5 and it is shown by the blue-shaded line in the number line.".

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A. In the evaluation problem, we calculate the likelihood of the observation sequence given the HMM model.

B.The decoding problem involves determining the most likely sequence of hidden states for a given observation sequence.

C.In the learning problem, we calculate the optimal model parameters given the observation sequence.

In Hidden Markov Model (HMM), let us consider a sequence of observations as o1o2o3…o. The evaluation problem, decoding problem, and learning problem in HMM are explained below:

a) Evaluation Problem: In the evaluation problem, we calculate the likelihood of the observation sequence given the HMM model. We use the forward algorithm to evaluate the model. The forward algorithm can be used to calculate the probability of the observation sequence in linear time relative to the length of the sequence.

b) Decoding Problem:The decoding problem involves determining the most likely sequence of hidden states for a given observation sequence. The Viterbi algorithm is used to solve the decoding problem. It finds the best sequence of hidden states that matches the observation sequence. The Viterbi algorithm is a dynamic programming algorithm that uses the forward algorithm.

c) Learning Problem:In the learning problem, we calculate the optimal model parameters given the observation sequence. We use the Baum-Welch algorithm to learn the parameters of the HMM model. The Baum-Welch algorithm is a variant of the Expectation-Maximization algorithm that iteratively refines the model parameters until they converge. It starts with an initial model and estimates the parameters that maximize the likelihood of the observation sequence.

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a) Evaluation problem: The evaluation problem in Hidden Markov Models (HMMs) involves determining the probability of a given sequence of observations, given a specific HMM model. In other words, it calculates the likelihood of the observed sequence occurring in the model.

Given an HMM model with its transition probabilities, emission probabilities, and initial state probabilities, the evaluation problem allows us to compute the probability of observing a particular sequence of observations. This is useful in various applications such as speech recognition, bioinformatics, and natural language processing. The evaluation problem is typically solved using the forward algorithm, which calculates the probability of being in each state at each time step, considering all possible paths leading to that state.

b) Decoding problem: The decoding problem in Hidden Markov Models involves finding the most likely sequence of hidden states that generated a given sequence of observations. It aims to infer the underlying states of the system based on the observed data.

In the decoding problem, we are interested in determining the most probable sequence of hidden states that generated a given sequence of observations. This is crucial in applications such as speech recognition, where we want to identify the most likely sequence of phonemes corresponding to an audio signal. The decoding problem is often solved using the Viterbi algorithm, which efficiently computes the most probable sequence of states by considering the transition probabilities and emission probabilities of the HMM.

c) Learning problem: The learning problem in Hidden Markov Models involves estimating the model parameters (transition probabilities, emission probabilities, and initial state probabilities) from a given set of observations. It aims to find the best-fitting model that explains the observed data.

In the learning problem, we have a set of observations but do not know the underlying model parameters of the HMM. The goal is to estimate these parameters based on the available data. This is done through a process called training or learning, where the model parameters are adjusted to maximize the likelihood of the observed data. The learning problem is typically solved using the Baum-Welch algorithm, also known as the forward-backward algorithm or the Expectation-Maximization (EM) algorithm. It iteratively updates the model parameters until convergence, maximizing the likelihood of the observed data given the HMM model.

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Answer:

x = 8

Step-by-step explanation:

Perimeter :

Answer: 7

Step-by-step explanation:

The smaller number is 7.75.

An equation is a mathematical statement formed when two expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, quadratic equations.

The system of equations are used to solve complex problems.

Let the smaller number is x.

The larger number is 2 less than three times the smaller number

Then the larger number is 3x -2

The sum of the two numbers is 29

The sum is the output of the mathematical operation, Addition.

The equation formed is :

3x -2 + x = 29

Grouping the variables and the constants

4x = 31

Dividing both side of the equation by 4

x = 7.75

The value of the smaller number is obtained.

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Answer:

Area = base x height

Step-by-step explanation:

8X11=88sq

Answer:

88 units^2

Step-by-step explanation:

The area of a parallelogram can be found using he following formula:

a=b*h

where b is the base and h is the height.

We know that 11 units is the base and 8 units is the height (forms a right angle with one of the bases).

b= 11 units

h= 8 units

Substitute these values into the formula.

a= 11 units * 8 units

Multiply

a= 88 units^2

The area of the parallelogram is 88 square units.

The given equation is y = 4^(x2–2x+5).To find the tangent line to the curve at x = 4, differentiate the given function with respect to x and find the slope of the tangent at x = 4.

Given function is y = 4^(x2–2x+5). In order to find the equation of the tangent line to the curve at x = 4, we need to differentiate the given function with respect to x and find the slope of the tangent at x = 4. Then we use the point-slope form of the equation to find the equation of the tangent line.The process of finding the equation of the tangent line to the curve is by first differentiating the given function.

We differentiate the given function as follows:d/dx(y) = d/dx[4^(x2–2x+5)] => d/dx(y) = 4^(x2–2x+5) * d/dx[x2–2x+5]

=> d/dx(y) = 4^(x2–2x+5) * [2x - 2]When x = 4,d/dx(y) = 4^(42–2*4+5) * [2*4 - 2]

=> d/dx(y) = 4^(5) * [6]

=> d/dx(y) = 6 * 1024

The slope of the tangent at x = 4 is: m = 6 * 1024

The point is: (4, y)We substitute the values in the point-slope form of the equation of the line:y - y1 = m(x - x1)

=> y - y1 = m(x - 4)

=> y - y1 = 6 * 1024 (x - 4)

Where x1 = 4, y1 = 4^(42–2*4+5)

=> y1 = 4^(5)

=> y1 = 1024

Therefore, the equation of the tangent line to y = 4^(x2–2x+5) at x = 4 is y - 1024 = 6 * 1024 (x - 4).

Therefore, we can conclude that the equation of the tangent line to y = 4^(x2–2x+5) at x = 4 is y - 1024 = 6 * 1024 (x - 4).

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If the arrival times of Caryl's school bus are distributed on a normal curve, the standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

The standard deviation is a statistic that measures the amount of variation or dispersion from the central tendency of a set of data values. A low standard deviation indicates that the data is tightly clustered around the mean or average, while a high standard deviation indicates that the data is more spread out.

The standard deviation is particularly useful when dealing with normally distributed data, as it allows us to estimate the probability of a certain range of values occurring. In this case, Caryl can use the standard deviation to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

Hence, option c. standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

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To find the excluded values of x, we need to look for any values of x that would make the denominator of the fraction equal to zero. In this case, the denominator is (2-9x).

So we need to solve the equation:

2 - 9x = 0

Subtracting 2 from both sides:

-9x = -2

Dividing both sides by -9:

x = 2/9

Therefore, the excluded value of x is x = 2/9, since plugging in this value would make the denominator zero and result in an undefined fraction.

To find the excluded values of x for the given rational expression, we need to identify when the denominator is equal to zero, since division by zero is undefined. The given expression is:

y = (2 - 9x) / (2 - 7x - 10)

First, we need to find when the denominator is equal to zero:

2 - 7x - 10 = 0

Simplify the equation:

-7x - 8 = 0

Add 8 to both sides:

-7x = 8

Now, divide both sides by -7:

x = -8/7

So, the excluded value for x is -8/7, because when x = -8/7, the denominator becomes zero and the expression is undefined.

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Answer:

c

Step-by-step explanation:

Answer:by uvyvyvyi

Step-by-step explanation:

Answer:84

Step-by-step explanation:

multiply the numbers

Answer:

84 baskets

Step-by-step explanation:

We know Viola plans to make 12 baskets each day to sell for Valentine's day. She is able to work for 7 days, giving her the oppertunity to make 84 baskets in the time period.

Here's the equation:

12 x 7 = 84

Viola can sell 84 baskets

Checked work:

84 ÷ 7 = 12

There about 24 hockey tickets were bought by Bryant. Out of which 14 tickets were child tickets.

A mathematical claim containing two equal algebraic expressions is known as an algebraic equation.

Given that the cost of an adult ticket is $5.50, and a child ticket is $2.00. The total spent is $83, and the total number of tickets bought is 24.

Let us consider the number of adult tickets bought is x and the number of children tickets bought is y.

Then x+y=24. From this, x=24-y.

Also, the given situation is written in an expression as,

\(\begin{aligned}5.50x+2.00y&=83\\5.50(24-y)+2.00y&=83\\132-5.50y+2.00y&=83\\-3.5y&=-49\\y&=14\end{aligned}\)

The required answer is 14.

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Answer:

ok i can help i have done those two things before. what is the math problem?

Step-by-step explanation:

Answer:

rectangular based pyramid

Answer:

SYMMETRICAL DESIGN: A formal, equilateral triangular design. ROUND DESIGNS: Do not require a focal point. HOOK METHOD: Wiring technique in which the wire is inserted through the flower and a small hook is formed in the wire before it is pulled back into the flower.

Step-by-step explanation:

A triangular arrangement is a formal, equilateral triangular design. Option D

A formal, equilateral triangle pattern is referred to as a triangular arrangement. It entails arranging components or things in a configuration that resembles an equilateral triangle.

In a variety of disciplines, including art, architecture, and landscaping, this arrangement is used. All three sides of the equilateral triangle are identical in length, and all three angles are 60 degrees.

As the equilateral triangle is seen as a stable and aesthetically beautiful shape, the triangular arrangement is frequently employed to establish balance, harmony, and aesthetic appeal in a design.

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After evaluating the integral ∫√(x-x²)dx, we get:

∫√u (1 - 2x) du, with the limits of integration 0 to 1/4

To evaluate the integral ∫√(x-x²)dx using the indicated table of integrals, you should look for an entry in the table that matches the given integral's form. Unfortunately, I do not have access to the specific table you are referring to. However, I can guide you on how to approach this problem.

First, you should make a substitution:

let u = x - x², then du = (1 - 2x)dx. To proceed with this substitution, you'll need to rewrite the integral in terms of 'u' and 'du'. Notice that when x = 1/2, u = 1/4.

Therefore, you can change the limits of integration as well: x = 0 corresponds to u = 0, and x = 1 corresponds to u = 0.

Now,
∫√(x-x²)dx = (1/2) ∫(1-4x+4x²-3)⁽¹/²⁾ dx

Now, we can look up the integral in the table of integrals, which indicates that:

∫(1-4x+4x²-3)⁽¹/²⁾ dx = (1/2) [ (x-1)√(1-4x+4x²) + 2arcsin(2x-1) ] + C

Therefore, substituting this result back into the original integral, we get:

∫√(x-x²)dx = (1/2) [ (x-1)√(1-4x+4x²) + 2arcsin(2x-1) ] + C

where C is the constant of integration.

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