Can someone PLEASE help me!! I'm doing a test and I'm really stuck of this question! Each of the small squares in the figure below measures 2 meters on each side.

What is the area of the triangle?

Hooke's law relates the force applied on an elastic material to its extension. Therefore, the answers to the questions are:

a. F = ks

b. The spring stretched 0.035 m (3.5 cm) when a weight of 14 N is included.

Hooke's law states that provided the extension limit of an elastic material is not exceeded, the force applied is directly proportional to its extension.

i.e F = ke

where F is the force applied to the material, k is the spring constant of the material, and e is the extension.

Considering the conditions in the given question then, we have:

a. The equation that relates F and S for the spring on the jumper is:

F = ks

b. Given that: F = 8 N, while s = 2 cm (0.02 m).

Then;

F = ks

8 = k(0.02)

k = \(\frac{8.0}{0.02}\)

  = 400

k = 400 N/m

So that, the stretch in the spring when 14 N weight is included is:

F = ks

14 = 400 x s

s = \(\frac{14}{400}\)

  = 0.035

s = 0.035 m

Thus the spring was stretched by 0.035 m (3.5 cm) when a weight of 14 N was included.

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Answer:

39°

Step-by-step explanation:

102 + 39 = 141

180 - 141 = 39

Answer:

298

Step-by-step explanation:

In this case, there are 10 blue marbles and 7 even-numbered marbles (2, 4, 6, 8, 10), out of a total of 14 marbles. Therefore, the probability of drawing a blue or even-numbered marble is (10 + 7) / 14, which simplifies to 17/14 or approximately 1.214.

To calculate the probability, we divide the number of favorable outcomes (blue or even-numbered marbles) by the total number of possible outcomes (total number of marbles). In this case, the number of favorable outcomes is the sum of blue marbles (10) and even-numbered marbles (7), and the total number of possible outcomes is the total number of marbles (14). Thus, the probability of drawing a blue or even-numbered marble is (10 + 7) / 14, which gives us 17/14 or approximately 1.214.

For the second part of the question, to determine the number of possible passwords if only the 26 letters of the alphabet are allowed, we need to consider that each character in the password can have 26 different options (A-Z). Since the password is eight characters long, the total number of possible passwords is calculated by multiplying the number of options for each character by itself eight times: 26^8. This gives us a large number of possible passwords, indicating a high level of password complexity and variation.

Regarding the lottery daily game, it seems that the question is incomplete. Please provide additional information or specify the missing details so that I can provide a more accurate answer.

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Answer: 6

Step-by-step explanation:

Answer:

∠6

Step-by-step explanation:

Answer: it’s the b graph, like the one that curves.

Step-by-step explanation:

i just got it right on khan

The differential equation to be solved is Nxy - 0.5ye-0.1x for osx54 with y(0) = 6.5 dx. This can be solved using Euler's method in MATLAB.

Follow the steps below.

Step 1: Create a function file - The differential equation needs to be defined in a function file first. Let's create a function file named "odefun.m".function dydx = odefun(x,y)

dydx = N*x*y - 0.5*y*exp(-0.1*x);

where N is a constant value that needs to be defined.

Step 2: Define the given values - Define the given values such as N, initial value y(0), and step size dx.

N = ...; %

Define N herey 0 = 6.5; %

Define initial value of y here. dx = ...; %

Define step size here

Step 3: Use Euler's method to solve the differential equation - Now, use Euler's method to solve the differential equation using a for loop. The MATLAB code is as follows: x = 0:dx:54; %

Define range of x values here y = zeros(size(x)); %

Initialize y as a vector of zeros y(1) = y0; %

Assign initial value of y to y(1) for i = 1: length(x)-1 dydx = odefun(x(i),y(i)); y(i+1) = y(i) + dydx*dx; end

Step 4: Plot the solution - Finally, plot the solution using the MATLAB command plot(x,y).

The complete MATLAB code is given below:

N = ...; %

Define N here y0 = 6.5; %

Define initial value of y here dx = ...; %

Define step size here x = 0:dx:54; %

Define range of x values here y = zeros(size(x)); % Initialize y as a vector of zeros y(1) = y0; %

Assign initial value of y to y(1) for i = 1: length(x)-1 dydx = odefun(x(i),y(i)); y(i+1) = y(i) + dydx*dx; end plot(x,y)

The plot of the solution will be displayed.

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Answer:

22.9 yards

Step-by-step explanation:

Since b² = a² - c² where a = vertex of major axis, 2a = 50 yards the length of the major axis. So , a = 50/2 = 25 yards. c = focus of chamber = 10 yards from center and b = vertex of minor axis.

So, b = ±√(a² - c²)

= ±√(25² - 10²)

= ±√(625 - 100)

= ±√525

= ±22.91 yards

≅ ± 22.9 yards

Since b = length of minor axis from center of chamber = 22.91 yards. So, he should build the whisper chamber 22.9 yards out from the center of the chamber.

The value of x from the given figure is 12 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔADC and ΔABC,

∠C=∠C (Reflex property)

AC=AC (Reflex property)

∠BAC=∠CDA=90°

By AA similarity, ΔADC ~ ΔABC

So, AC/BC = DC/AC

x/36 = 4/x

x²=36×4

x²=144

x=12 units

Therefore, the value of x from the given figure is 12 units.

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Answer:

x=24

Step-by-step explanation:

You have to isolate the variable so you add 5 to both sides, then add 3 to both sides. Then you have x=24

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

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A box plot shows the minimum, maximum, median, and any outliers of a data set. It does not show individual values in the data set. Therefore, options A, C, D, and E are the correct answers.

A box plot is a graphical representation of a data set that displays the median, individual values, outliers, minimum, and maximum of the data set.

The box plot is created by drawing a box from the lower quartile, or the 25th percentile, to the upper quartile, or the 75th percentile, with a line in the middle of the box representing the median of the data set.

The individual values in the data set are represented by dots, marks, or lines outside of the box. Outliers, or values that are significantly different from the rest of the set, are also represented outside of the box. T

he minimum and maximum of the data set are typically represented by either a line or a dot outside of the box.

Therefore, options A, C, D, and E are the correct answers.

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A story that can be represented using the equation y=x+1/5x is "John has an apple and he cut another apple into 5 equal parts and took on part. What's the rural fraction of apple that he has?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, if John has an apple and he cut another apple into 5 equal parts and took on part.

This can be illustrated as:

y = x + 1/5x

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Given:

The given figure represents the original parallelogram and the reduction.

To find:

The length of side A in the new parallelogram.

Solution:

We know that the original figure is always similar to its reduction. So, both parallelograms are similar to each other.

The corresponding sides of similar figures are proportional.

\(\dfrac{45}{18}=\dfrac{5}{A}\)

\(45\times A=5\times 18\)

\(45A=90\)

Divide both sides by 45.

\(A=\dfrac{90}{45}\)

\(A=2\)

The length of side A in the new parallelogram is 2 cm. Therefore, the correct option is A.

To solve for t2 in the equation t2/t1=(p2/p1)^(n-1/n), we can cross-multiply to get t2=(p2/p1)^(n-1/n) * t1.


In the given equation, t2/t1 represents the ratio of two temperatures, while (p2/p1)^(n-1/n) is a ratio of pressures raised to a power. The exponent of (n-1/n) in the equation represents the ratio of specific heats, which is a constant value for a given gas. Thus, we can rewrite the equation as t2/t1= (p2/p1)^k, where k = (n-1/n).

To solve for t2, we can multiply both sides of the equation by t1, which gives us t2= (p2/p1)^k * t1.


Therefore, the equation to solve for t2 is t2= (p2/p1)^(n-1/n) * t1.

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We are given the following equation and we must state the reason behind each of the steps taken to solve it:

In the first step after giving the equation 21 is being substracted from both sides of the equation. Remember that the substraction property of the equality states that any value substracted from one side of the equal sign must also be substracted from the other side. Therefore the reason behind this step is the substraction property.

Then the substractions on each side are performed. In the left side we get 21-21=0 so the constant term dissapears and on the right we obtain 21-15=6. This means that during this step only a simplification was performed.

In the following step a number 2 is multiplied to each side of the equal sign. Remember that the multiplication property of equality states that whatever is multiplied in one side of the equal sign must also be multiplied in the other side. Then the reason behind this step is the multiplication property of equality.

In the final step in the left side the 2 multiplying is simplified with the number 2 dividing and in the right side the product between -6 and 2 is performed. Then this step is also a simplification.

Then the reasons in order are:

- Substraction Property of Equality

- Simplifying

- Multiplication Property of Equality

- Simplifying

Answer:

this is linear equation correct?

Step-by-step explanation:

let me know i might be able to help

A 90% confidence interval for the proportion of CCC students who enjoy reading in their leisure time is calculated to be approximately (0.284, 0.386).

This means that we can be 90% confident that the true population proportion lies within this range. To calculate the confidence interval for the proportion, we use the sample proportion and the standard error. The sample proportion is the number of students who enjoy reading divided by the total sample size. In this case, 130 students out of 400 reported enjoying reading, so the sample proportion is 130/400 = 0.325.

The standard error of the sample proportion is calculated using the formula sqrt((p(1-p))/n), where p is the sample proportion and n is the sample size. Plugging in the values, we get sqrt((0.325*(1-0.325))/400) ≈ 0.019.

Next, we need to determine the critical value for a 90% confidence interval. This critical value can be obtained from the standard normal distribution (Z-distribution) or a statistical software. For a 90% confidence interval, the critical value is approximately 1.645.

The margin of error is the product of the critical value and the standard error, which gives us 1.645 * 0.019 ≈ 0.031.

Finally, the confidence interval is calculated as the sample proportion ± the margin of error. Therefore, the confidence interval is approximately 0.325 ± 0.031, which simplifies to (0.284, 0.386) when rounded.

In conclusion, we can be 90% confident that the proportion of CCC students who enjoy reading in their leisure time lies within the range of approximately 0.284 to 0.386. This interval provides an estimate of the true population proportion with a high level of confidence.

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The given statement that allocation is a mathematical procedure that cannot be manipulated by the parties involved in making the allocation is true.

The term allocation refers to the process of dividing something among various parties. The term is often used in finance and economics to refer to the distribution of goods or resources among various groups or individuals.

Mathematical allocation refers to the distribution of a finite amount of resources among several competing individuals, groups, or companies. This is typically done with the help of mathematical techniques that are based on algorithms and statistical models.

An example of mathematical allocation can be seen in the allocation of financial resources in a company.In mathematical allocation, the parties involved in making the allocation cannot manipulate the process. This means that the allocation is done in a fair and impartial manner, without any interference from the parties involved. This helps to ensure that the allocation is done in an objective and unbiased way, which is important for maintaining the integrity of the allocation process.

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The probability that the project will take 224 days or longer is 0.1587.

This is a question on the normal probability distribution.

To expiate this, standardize the 95 days.

The standardized score is calculated by subtracting the value from the mean and dividing it by the standard deviation.

z = (x - xbar) ÷ σ

x = 224 days

xbar = mean = 214 days

σ = standard deviation = √(variance) = √100 = 10

z = (224 - 214) ÷ 10 = 1

To calculate the probability that the project will be finished in 95 days or less, P(x ≥ 224) = P(z ≥ (1))

For these probabilities, use data from the normal probability table.

P(x ≥ 224) = P(z ≥ (1)) = 1 - 0.8413 = 0.1587

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(a) The interval on which f is increasing: (0, ∞)

The interval on which f is decreasing: (0, 1)

(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.

There is no local maximum value.

(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.

The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.

To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).

To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).

The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.

There is no local maximum in this function since the derivative does not change from positive to negative.

The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.

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Writing linear equations given two points can be a useful skill when graphing linear equations.

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Answer:

100ft^2

Step-by-step explanation:

The area of a square is always one of the side's length multiplied by itself.

10 x 10 = 100ft^2

Vector a = (3, 2), then;

Also, vector b = (-5, 6), then;

Then, -3a + 2b = (-9, -6) + (-10, 12)

The answer is (-19,6)

The equations have a solution of x = 6 and y = 8.

We will initially tackle one condition for one factor and afterward substitute that articulation into the other condition to utilize the replacement technique to settle the arrangement of conditions.

Let's begin with the fundamental condition: Y = (1/2)x + 5. By isolating it on one side, we can solve this equation for Y:

We will currently substitute method this articulation for Y in the subsequent condition: Y = (1/2)x + 5 2y = 2x + 4.

2(1/2)x + 5 = 2x + 4, which makes the equation easier to understand:

Isolating x from one side of the equation is the next step: x + 10 = 2x + 4. We acquire: by removing x from each side.

Since we have 10 = x + 4, we can take away 4 from the two sides to get:

6 = x We have discovered that the value of x is 6. To determine the value of y, we return this value to the initial equation:

Because Y = (1/2)(6) + 5 Y = 3 + 5 Y = 8, the equations have a solution of x = 6 and y = 8.

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The proportion of trick-or-treaters who were not dressed as cowboys is 10/13.

If three out of every thirteen trick-or-treaters were dressed as cowboys, it means that the proportion of trick-or-treaters dressed as cowboys is 3/13.

To find the proportion of trick-or-treaters who were not dressed as cowboys.

we subtract the proportion dressed as cowboys from 1 (since the total proportion of trick-or-treaters must sum to 1).

Proportion not dressed as cowboys = 1 - Proportion dressed as cowboys

Proportion not dressed as cowboys = 1 - (3/13)

Proportion not dressed as cowboys = (13/13) - (3/13)

Proportion not dressed as cowboys = 10/13

Therefore, the proportion of trick-or-treaters who were not dressed as cowboys is 10/13.

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1. The probability a randomly selected pregnancy is more than 265 days in length is 0.5793.

2. The length of pregnancy that separates the shortest and longest 10% from the rest is (247.4, 288.6).3.

3. The probability of pregnancy that lasts less than or equal to 290 days is 0.9292.

1. The probability a randomly selected pregnancy is more than 265 days in length The length of pregnancy follows a normal distribution with mean, μ = 268 days and standard deviation, σ = 15 days.The probability of pregnancy more than 265 days is:

P(X > 265)P(Z > (265 - 268) / 15)P(Z > -0.2) = 0.5793

2. The length of pregnancy that separates the shortest and longest 10% from the rest The length of pregnancy follows a normal distribution with mean, μ = 268 days and standard deviation, σ = 15 days.We need to find the length of pregnancy that separates the shortest and longest 10% from the rest.The length of pregnancy that separates the lowest 10% from the rest is the first decile.

The first decile is given by:

x1 = μ - 1.28σ x 1 = 268 - 1.28 (15) x 1 = 247.4 days

The length of pregnancy that separates the longest 10% from the rest is the ninth decile.The ninth decile is given by:

x9 = μ + 1.28σ x 9 = 268 + 1.28 (15) x 9 = 288.6 days

Yes, it would be unusual to select a pregnancy that lasts longer than 290 days. We can see from the calculation below:

P(X > 290)P(Z > (290 - 268) / 15)P(Z > 1.47) = 0.0708

The probability of pregnancy that lasts longer than 290 days is 0.0708.The probability of pregnancy that lasts less than or equal to 290 days is:

P(X ≤ 290) = 1 - P(X > 290) = 1 - 0.0708 = 0.9292

We know that if the probability of any event is less than 0.05 or 5%, it is considered unusual. As the probability of pregnancy that lasts longer than 290 days is only 0.0708, which is less than 0.05 or 5%, it is considered unusual. Hence, it is unusual to select a pregnancy that lasts longer than 290 days.

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The percent decrease in the high temperature from yesterday to today is 35%.

To calculate the percent decrease in temperature from yesterday to today, we first need to calculate the actual decrease in temperature:

Actual decrease = Yesterday's high temperature - Today's high temperature

Actual decrease = 80°F - 52°F

Actual decrease = 28°F

The percent decrease can be calculated using the formula:

Percent decrease = (Actual decrease / Yesterday's high temperature) x 100%

Substituting the values, we get:

Percent decrease = (28°F / 80°F) x 100%

Percent decrease = 0.35 x 100%

Percent decrease = 35%

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The complete question is below:

Yesterday, the high temperature was 80 degrees Fahrenheit. Today,  the high temperature was 52°F. What is the percent decrease in the high temperatures from yesterday to today?