If X1, X2, and X3 are solutions of the third order system X'=AX and Xp is a particular solution of X'=AX+f(t), then the general solution of X'=AX+f(t) is

The bottom of the ladder will be approximately 19.1 feet from the bottom of the building.

To find how many feet the bottom of the ladder will be from the bottom of the building when you place a 39-foot ladder against the top of a 34-foot building, you can use the Pythagorean theorem.

Here are the steps:

1. Recognize that you have a right triangle, with the building as one leg, the ground as another leg, and the ladder as the hypotenuse.

2. Label the sides:

a = 34 feet (building height), b = distance from the bottom of the ladder to the bottom of the building, and c = 39 feet (ladder length).

3. Apply the Pythagorean theorem:

a² + b² = c²

4. Substitute the values:

34² + b² = 39²
5. Calculate:

1156 + b² = 1521
6. Solve for b²:

b² = 1521 - 1156 = 365
7. Take the square root:

b = √365 ≈ 19.1 feet

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Answer:

x = 4

Step-by-step explanation:

all angles in triangle add to 180

90+70=160

180-160=20

20÷5=4

The number of street lamps is 5 by the remaining five people.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that suppose that 20 of the 25 townspeople decide that they will not help pay for street lamps, and will instead enjoy (for free) the street lamps built by the other five people.

The number of street lamps is,

Lamps = 25 - 20

Lamps = 5

Therefore, the number of street lamps is 5 for the remaining five people.

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Answer:

The maximum number of street lamps that will be built by the remaining five people will be 0

Answer:

The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

so the bike is 7. car is 8 walk is 9 bus is 12 so in total it will be 36 pupils to travel to school

Given:

novel: 3/4

dictionary: 4 1/2

Let's first convert the two given height into similar fractions (with the sa

a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.

The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

     = 200 / √400

     = 200 / 20

     = 10

To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:

For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.

For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.

We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.

(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).

The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).

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Answer:

Option 2

Step-by-step explanation:

Answer:

Graph 2

Step-by-step explanation:

exponential growth means that the line is increasing

Answer:

yes... PERIODT

Step-by-step explanation: i promise you its yes

Answer:

Yes

Step-by-step explanation:

Answer:

is E but the other one is don't understand lol

Answer:

B. x <1/2

Step-by-step explanation:

PA BRAINLEST ANSWER PLSSS

Step-by-step explanation:

vhiy ig ig_y oh y by cy oh h. hh uu u

In an instruction like "z = x y," the symbols x, y, and z are examples of variables.

Variables are placeholders that represent unknown or changing values in mathematical expressions or equations. They allow us to generalize mathematical relationships and solve problems using algebraic methods.

In mathematics, variables are symbols that represent unknown or varying quantities. They are used to express mathematical relationships, equations, and formulas.

In the given instruction "z = x y," the symbols x, y, and z are variables.

In this case, x and y represent the input values, and z represents the output or result of the mathematical operation defined by the equation.

Variables are used extensively in algebra to solve equations, manipulate expressions, and analyze mathematical relationships. They enable us to express and solve problems symbolically, without knowing the specific values of the variables.

By assigning specific values to variables, we can evaluate expressions, solve equations, and find solutions to mathematical problems.

Variables can represent a wide range of quantities, including numbers, measurements, constants, or even abstract concepts. They provide flexibility and generality in mathematical modeling and problem-solving.

By using variables, we can establish connections between different mathematical quantities and derive meaningful conclusions based on their relationships.

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Answer:

The student made no mistake. The solution is correct.

Answer:

The answer is S. The student made no mistake, so the solution is correct.

Step-by-step explanation:

Answer: 5798

Step-by-step explanation:

Probability of \(1\) success as per given condition is equals to \(0.384475\) ≈ \(0.4\).

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes.Probability is always less than or equals to one."

Formula used

For binomial experiment

Probability =  \(^n C_r p^{r} q^{n-r}\)

\(p =\)success rate

\(q=\) failure rate

\(p+q=1\)

\(n=\)Number of trials

\(r=\) number of success

According to the question,

Total number of trials \('n' =4\)

Number of success \('r' =1\)

\(p = 0.35\\\\q = 1-0.35\\ \\\implies q = 0.65\)

Substitute the value to get the required probability,

Probability \(= ^4C_1 (0.35)^{1}(0.65)^{4-1}\)

                   \(=\frac{4!}{(4-1)!1!} \times\frac{35}{100}\times(\frac{65}{100})^{3} \\\\= 4 \times \frac{35}{100}\times \frac{274625}{1000000} \\\\= 0.384475\)

                   ≈ \(0.4\)

Hence, probability of \(1\) success as per given condition is equals to \(0.384475\) ≈ \(0.4\).

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The phase change line, also known as the phase boundary or phase transition line, is a line on a graph that represents a change in conditions for a substance. This line shows the temperature and pressure conditions at which a substance will change from one phase to another, such as from a solid to a liquid or from a liquid to a gas.

The phase change line is represented on a graph by a diagonal line that separates two regions where the substance is in different phases. This line usually slopes upwards from left to right, indicating that higher temperatures and pressures are needed to change the substance from one phase to another.

The phase change line is an important concept in thermodynamics and is used to understand the behavior of substances under different conditions. For example, the phase change line for water shows that at normal atmospheric pressure, water will freeze at 0°C and boil at 100°C. However, at higher pressures, the freezing and boiling points will change, and water may exist in different phases, such as a supercritical fluid.

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The interquartile range (IQR) is a measure of the spread or variability of the middle 50 percent of the data.

The interquartile range (IQR) is a statistical measure that describes the spread or dispersion of the middle 50 percent of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset.

The quartiles divide a dataset into four equal parts, each representing 25 percent of the data. The first quartile (Q1) represents the lower boundary of the middle 50 percent, while the third quartile (Q3) represents the upper boundary of the middle 50 percent. The IQR captures the range of values within this middle range.

By focusing on the middle 50 percent of the data and excluding the extreme values, the interquartile range provides a measure of variability that is less affected by outliers or extreme values. It is commonly used in descriptive statistics and data analysis to understand the spread and distribution of a dataset, particularly when the data is not symmetrically distributed or contains outliers.

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The line graphs represent time series data of average monthly temperatures in San Francisco and St. Louis. The graph for San Francisco indicates a mild and relatively consistent climate, with temperatures fluctuating within a narrow range throughout the year. In contrast, the graph for St. Louis shows more significant temperature variations, with distinct seasonal patterns and greater temperature fluctuations between the seasons. The analysis suggests that San Francisco experiences a milder climate compared to St. Louis, with less extreme temperature variations throughout the year.

To determine the type of data represented in the line graphs of average monthly temperatures in San Francisco and St. Louis, we need to consider the variables being plotted on the x-axis and y-axis.

If the x-axis represents time (e.g., months, years) and the y-axis represents the average monthly temperature, then the data would likely be considered as time series data. Time series data captures the variation in a variable over regular intervals of time.

In analyzing the line graphs, we can observe the following:

San Francisco:

The line graph for San Francisco shows the average monthly temperatures over time.

The temperatures generally fluctuate within a relatively narrow range throughout the year.

There is a noticeable pattern of higher temperatures during the summer months and lower temperatures during the winter months.

The graph suggests a mild and relatively consistent climate with less extreme temperature variations.

St. Louis:

The line graph for St. Louis also displays the average monthly temperatures over time.

The temperatures exhibit more significant variations compared to San Francisco.

There are distinct seasonal patterns with warmer temperatures in the summer and colder temperatures in the winter.

The graph indicates a greater temperature range, with more pronounced differences between the seasons compared to San Francisco.

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Answer:

{x | x ≥ 4}

Step-by-step explanation:

NOTE: There seems to be a mistake in the question.

In your question, it is stated that y = 62, I think it is supposed to be y = 6x where x is the number of hours

Be sure to check check next time and attach the complete picture.

Gn: y = 6x, where x is the number of hours

We know that the min number of hours per job is 4

so, x ≥ 4

Therefore, the domain is:

{x | x ≥ 4}

Answer:

Pain Pain Pain Pain Pain now where is my brainliest you promised me

Step-by-step explanation:

Answer:

6165421

Step-by-step explanation:

whatever you do to 1 side you have to do to the other. add 1662 as the calculation is a minus.

Answer:

179 minutes

Step-by-step explanation:

From the information given, you know that the total cost of the long distance service is equal to 7 plus the result of multiplying 0.7 for the number of minutes:

Total cost=7+0.07x, where x is the amount of minutes.

Now, you can replace the total cost with 19.53 that is the amount Ali was billed and solve for x:

19.53=7+0.07x

19.53-7=0.07x

12.53=0.07x

x=12.53/0.07

x=179

According to this, the answer is that Ali was billed for 179 minutes.

Aida's score of 30,025 points is less than Dave's score of 30,205 points.

We know that inequalities are used to compare values and represent a wide range of relationships between numbers. We will use the concept of inequality to solve this problem

To compare Aida's number of points to Dave's number of points, we can use the symbol ">" (greater than), "<" (less than), or "=" (equal to).

Based on the given information:

Aida's score: 30,025 points

Dave's score: 30,205 points

To compare their scores, we can write the number sentence:

Aida's score < Dave's score

This statement means that Aida's score of 30,025 points is less than Dave's score of 30,205 points.

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The political hurdles that African American representatives have to face after they went into office is Racism.

Racism is the belief that different groups of humans have different behavioral traits that correspond to inherited characteristics and that they can be divided based on the superiority of one race over another.

Racism stems from the belief that a person is superior to others because of the color of their skin. In the olden days, blacks were excluded from public schools, denied the right to vote, and faced racism and legal discrimination almost everywhere. This is still faces in politics as well.

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Answer:

y = 2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

y² = (\(\sqrt{2}\) )² + (\(\sqrt{2}\) )² = 2 + 2 = 4 ( take the square root of both sides )

y = \(\sqrt{4}\) = 2

Answer:

52.25 MPH

Step-by-step explanation:

Using the formula given D=RT we simply plug in values,

313.5=6R

313.5/6=R

52.25=R

Answer:

b

Step-by-step explanation:

Since each packet received is independent of any other packet, we can model X as a binomial distribution with parameters n=10 and p=0.05 (the probability of receiving a packet with errors is 1-0.95=0.05).

The probability mass function (PMF) of X is given by:

P(X=k) = (10 choose k) * 0.05^k * 0.95^(10-k), for k = 0, 1, 2, ..., 10

where (10 choose k) is the binomial coefficient, representing the number of ways to choose k packets out of 10.

So, for example, the probability of receiving exactly 2 packets with errors is:

P(X=2) = (10 choose 2) * 0.05^2 * 0.95^8
= 45 * 0.0025 * 0.4305
= 0.0463

Similarly, we can calculate the probabilities for other values of k.
Hi, I'd be happy to help you with your question. Let's find the probability mass function (PMF) of X, where X represents the number of packets received with errors out of 10 packets, and the packets are independent with a 0.95 probability of being error-free.

1. Define the probability of success (error-free) and failure (with errors).
  Success (error-free): p = 0.95
  Failure (with errors): q = 1 - p = 0.05

2. Since the packets are independent, we can use the binomial distribution to model the problem. The PMF of a binomial distribution is given by:
  P(X = k) = C(n, k) * p^k * q^(n-k)

3. In our case, n = 10 (number of packets received), and we need to find P(X = k) for k = 0, 1, 2, ..., 10.

So, the PMF of X, the number of packets received with errors out of 10 independent packets, is:

P(X = k) = C(10, k) * (0.95)^k * (0.05)^(10-k), for k = 0, 1, 2, ..., 10.

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The measure of ∠QPS must be 59° in order for the quadrilateral to be parallelogram.

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Given is a quadrilateral PQRS.

Two opposite angles of the quadrilateral are given.

The measure of angle PQR is (6x+13) degrees and the measure of angle PSR is (7x-5) degrees.

If the quadrilateral is parallelogram, opposite angles must be equal.

6x + 13 = 7x - 5

6x - 7x = -5 - 13

-x = -18

x = 18

∠PQR = ∠PSR = 6x + 13 = 121°

Sum of the interior angles of a quadrilateral is 360°.

∠PQR + ∠PSR + ∠QPS + ∠QRS = 360°

121° + 121° + ∠QPS + ∠QRS = 360°

The other pair of opposite angles must be equal.

So, ∠QPS = ∠QRS

121° + 121° + 2∠QPS = 360°

242° + 2∠QPS = 360°

2∠QPS = 118

∠QPS = 59°

Hence the measure of ∠QPS = 59°

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