Suppose Matthew Whitaker performs on a rectangular stage with an area of 1815 square feet. If the length of the stage is 5x and the width of the stage is 3x, what is the value of x?

Answer:

Greater than.

Step-by-step explanation:

3 - 1 = 2, 2 is greater than 1/4 which is equal to 0.25.

Therefore, the sample space has 8 possible outcomes.

In order to use a tree diagram to find the sample space and the total number of possible outcomes, you can follow the steps mentioned below:

Step 1: Identify the branches that represent each activity (birthday party, miniature golf, laser tag, and roller skating).

Step 2: Next, list the possible time slots for each activity.

Step 3: Draw a tree diagram and organize the activities by category.

Step 4: Then, label each branch with the time slot for that activity.

Step 5: Count the total number of branches in each activity category and multiply those numbers to determine the total number of possible outcomes.Sample space represents the collection of all possible outcomes. Here, the given activities are Birthday Party, Miniature golf, Laser tag, and Activity Roller skating and the given time slots are 1:00 P.M.-3:00 P.M. and 6:00 P.M.-8:00 P.M.

Now, we will use a tree diagram to find the sample space and the total number of possible outcomes.

The tree diagram can be represented as follows: \(\begin{array}{|c|c|c|}\hline & 1:00-3:00 & 6:00-8:00 \\\hline \text{Birthday Party} & & \\ \hline \text{Miniature Golf} & & \\ \hline \text{Laser Tag} & & \\ \hline \text{Roller Skating} & & \\ \hline \end{array}\)The total number of possible outcomes is the product of the number of time slots and the number of activities. Thus, the number of possible outcomes can be calculated as follows:Total number of possible outcomes = Number of activities × Number of time slots= 4 × 2 = 8

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The correct answer is:

\(b. \sum f^n(2)/n! (x-2)^n = -3 +16(x-2) + 20(x-2)^2 + \sum 8(x-2)^3^/^n! + \sum (x-2)^4^/^n!\)

The Maclaurin series is:

\(f(x) = \sum (-1)^n (2x)^(^4^n^+^1^)/(3^(^2^n^)^(^2^n^)!) = \sum (-1)^n (2^(^4^n^+^1^)/3^(^2^n^)^(^2^n^)!) x^(^4^n^+^1^)\)

The indefinite integral of (cos(x) - 1/x) can be expressed as an infinite series.

The correct answer for the Taylor series of f(x) = x^4 - 4x^2 + 3 centered at a = 2 is:

\(b. \sum f^n(2)/n! (x-2)^n = -3 +16(x-2) + 20(x-2)^2 + \sum 8(x-2)^3^/^n! + \sum (x-2)^4^/^n!\)

The associated radius of convergence for this series is infinity, since the power series expansion of f(x) exists for all real numbers x.

To obtain the Maclaurin series for \(f(x) = 2x cos(1/3x^2)\), we can first find the Maclaurin series for \(cos(x^2^/^3^)\) and then multiply by 2x:

\(cos(x^2/3) = \sum (-1)^n (x^2/3)^(2n)/(2n)! = \sum (-1)^n x^(^4^n^)/(3^(^2^n^)^(^2^n^)!)\)

Therefore, the Maclaurin series for \(f(x) = 2x cos(1/3x^2)\) is:

\(f(x) = \sum (-1)^n (2x)^(^4^n^+^1^)/(3^(^2^n^)^(^2^n^)!) = \sum (-1)^n (2^(^4^n^+^1^)/3^(^2^n^)^(^2^n^)!) x^(^4^n^+^1^)\)

To evaluate the indefinite integral ∫(cos(x) - 1/x) dx as an infinite series, we can use the Maclaurin series for cos(x) and the power series expansion of \(ln(x) = \sum(-1)^(^n^+^1^) (x-1)^n/n\), which converges for 0 < x ≤ 2. Thus, we have:

\(\int(cos(x) - 1/x) dx = \intcos(x) dx - \int(1/x) dx = \sum(-1)^n x^(^2^n^+^1^)/(2n+1)! - ln|x| + C\)

where C is the constant of integration. We can simplify this expression as follows:

\(\int (cos(x) - 1/x) dx = \sum (-1)^n x^(^2^n^+^1^)/(2n+1)! - ln|x| + C\)

\(= -ln|x| + \sum(-1)^n x^(^2^n^+^1^)/(2n+1)!\)

\(= -ln|x| + \sum(-1)^n (x-1)^(^2^n^+^1^)/(2n+1)x^(^2^n^+^1^)\)

Thus, the indefinite integral of (cos(x) - 1/x) can be expressed as an infinite series.

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In order from least to greatest number of solutions, the equations are 1/2|x|+3=3, 3-|x+4|=10, and |x-8|-4=-1.

The expressions are usually separated by an equal sign (=). Equations are used to solve problems and to describe relationships between different variables.

The first equation, 3-|x+4|=10, has two solutions.

We can do this by subtracting 3 from both sides: |x+4|=7.

Now, the absolute value expression can be split into two equations: x+4=7 and x+4=-7.

Solving each equation results in x=3 and x=-11.

The second equation, |x-8|-4=-1, also has two solutions.

We can do this by adding 4 to both sides: |x-8|=3.

Now, the absolute value expression can be split into two equations: x-8=3 and x-8=-3.

Solving each equation, we get x=11 and x=5.

The third equation, 1/2|x|+3=3, has one solution.

We can do this by subtracting 3 from both sides: 1/2|x|=0.

Now, the absolute value expression can be split into two equations: x=0 and x=-0.

Since -0 is the same as 0, this equation has only one solution: x=0.

1/2|x|+3=3, 3-|x+4|=10 or |x-8|-4=-1 is the correct order.

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Answer:

3,000 / 200 / 10

Step-by-step explanation:

Answer:

Nearest thousand: 3,000

Nearest hundred: 3,200

Nearest ten: 3,210

Plzzzzzz give me Brainliest!!!!!!

Answer:

Step-by-step explanation: Negatives because a number lower than 0 go like this -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 see? so the answer is Negatives.

Partial derivative with respect to\(X = dF/dX = 2XY - (X + Y)2-2 + Y2e-XZ\)

Partial derivative with respect to \(Y = dF/dY = X2 - 6Y + (X + Y)2-2XYe-XZ\)

The first partial derivatives of the function F(X,Y) = X2Y - 3Y2 + X/(X + Y)2 + XY2e-XZ can be found by taking the partial derivative with respect to each of the variables X and Y separately.
For the partial derivative with respect to X, we have:
Partial derivative with respect to X = dF/dX = 2XY - (X + Y)2-2 + Y2e-XZ
For the partial derivative with respect to Y, we have:
Partial derivative with respect to \(Y = dF/dY = X2 - 6Y + (X + Y)2-2XYe-XZ\)
This completes the calculation of the first partial derivatives of the function F(X,Y).
The first partial derivatives of the functions are given below:

\(F(x, y) = x^2y - 3y^2\)

The first partial derivative with respect to x,

Fx (x, y) = 2xy

The first partial derivative with respect to y,\(Fy (x, y) = x^2 - 6yW = xy^2 e^-xz\)

The first partial derivative with respect to x,

\(Wx (x, y, z) = y^2e^-xz - x^2y^2e^-xz\)

The first partial derivative with respect to y, Wy (x, y, z) = 2xye^-xz

The first partial derivative with respect to z, \(Wz (x, y, z) = -xy^2e^-xz\)

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The area of the circle is 30.2 square feet. Then the correct option is B.

Given that:

Diameter, d = 6.2 feet

Let r be the radius of the circle. Then the area of the circle will be given as,

A = πr² square units

The radius of the circle is given as,

r = d / 2

r = 6.2 / 2

r = 3.1 feet

The area of the circle is calculated as,

A = 3.14 x (3.1)²

A = 3.14 x 9.61

A = 30.1754

A ≈ 30.2 square feet

Thus, the correct option is B.

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Answer: The value of w is 60 degrees...

It's simple!

It is a triangle as it has 3 angles. Now if we add all the three angles, it is always 180 degrees... And the square angle on the corner always represents 90 degrees. So we know two angle value, just find the other one," w " Let's place it in a formula:

1st angle + 2nd angle + 3rd angle = 180 degree angle

30 degree + 90 degree + w angle = 180 degree angle

120 degree + w angle = 180 degree angle

w angle = 180 degree - 120 degree

w = 60 degrees!

Hope it helped! And if so, Brainliest pweaseeee! <3 ~ ~ ~ ~

Answer:

21.9 ft²

Step-by-step explanation:

Hello!

To find the area of this figure, we must find the area of the 6 x 6 square and subtract the area of a semi-circle with a diameter of 6.

Area square:

Area semi-circe:

Area shape:

The units are ft², so the answer is 21.9 ft²

Answer: 1,4 is the answer

All the above data were obtained by entering them in excel format and obtaining it using standard methods.

A low standard deviation shows that the values tend to be close to the mean (also known as the expected value) of the set, whereas a high standard deviation suggests that the values are spread out over a wider range. The standard deviation is a measure of variance or dispersion in statistics. Standard deviation, often known as SD, is most frequently represented in mathematical texts and equations by the lowercase Greek letter (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.

For sample size 5, Mean = 117.6 and Standard Deviation = 9.2

For sample size 12, Mean = 103.5 and Standard Deviation = 8.6

For sample size 30, Mean =104.6 and Standard Deviation = 8.7

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Answer:

It can be proved that the circle R is similar to the circle Q by translating the circle R a displacement of (-6, 12).

Step-by-step explanation:

We can demonstrate that Circle R is similar to Circle Q by translating the center of the former one to the center of latter one. Meaning that every point of circle R experiments the same translation. Vectorially speaking, a translation is defined by:

\(O'(x,y) = O(x,y) + T(x,y)\) (1)

Where:

\(O(x,y)\) - Original point.

\(O'(x,y)\) - Translated point.

\(T(x,y)\) - Translation vector.

If we know that \(O(x,y) = (2,-9)\) and \(O'(x,y) = (-4,3)\), then the translation vector is:

\(T(x,y) = O'(x,y)-O(x,y)\)

\(T(x,y) = (-4,3) - (2,-9)\)

\(T(x,y) = (-6,12)\)

It can be proved that the circle R is similar to the circle Q by translating the circle R a displacement of (-6, 12).

Answer: The smallest number that can be divided by 90, 80 and 72 without a remainder is 720.

Step-by-step explanation:

To find the smallest number that can be divided by 90, 80, and 72 without a remainder, you can find the least common multiple (LCM) of 90, 80, and 72. The LCM is the smallest positive number that is a multiple of all the given numbers.

One way to find the LCM is to list out the multiples of each number and then find the smallest one that is common to all.

Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170...

Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960, 1040, 1120...

Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1008...

As you can see 720 is the smallest common multiple for all the numbers 90,80 and 72. Therefore, the smallest number that can be divided by 90, 80, and 72 without a remainder is 720.

The value of the friction force on the sofa will be 288 N.

The force which opposes the motion of the body is known as friction force.

Ralph wants to move a 60.0 kg sofa.

He applies a force of 480 N.

Under these conditions, the sofa initially moves with an acceleration of 3.20 m/s².

Then the value of the friction force on the sofa will be

We know

ΣF = ma

We have

m = 60 kg

a = 3.2 m/s²

Then the value of friction force will be

480 – f = 60 × 3.2

480 – f = 192

          f = 480 – 192

          f = 288 N

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Answer:

288

Step-by-step explanation:

r = 2

The volume of a cone can be found using the following equation

\(V = r^2\frac{h}{3} \pi\)

After putting in the information that we already know we get

\(16\pi = r^2\frac{12}{3} \pi \\16\pi = r^2(4) \pi \\4 = r^2\\ r = 2\\\)

For proof's sake, we can try the equation again with the information we know

\(V = r^2\frac{h}{3} \pi \\V = 2^2\frac{12}{3} \pi \\V =4(4) \pi \\V = 16\pi\)

Answer:

y = -3/2x + b

Step-by-step explanation:

To find slope intercept you take the amount it goes up or down over the amount left of right, the 2 closest points i found were 0,3 and 2,0

so it goes down 3 (-3) and right 2 (2)

so y = -3/2x + b

b = wherever it intercepts the y axis (0,3)

y = -3/2x + b

-- Gage Millar, Algebra 1/2 tutor

The answer is :  \(y = - \frac{3}{2}x +3\)

ok done. Thank to me :>

The solution for x + 3 is greater than or equal to 2x - 6 is x ≤ 9.

Given,

x + 3 is greater than or equal to 2x - 6

That is,

x + 3 ≥ 2x - 6

Solve for x in this solution.

So,

x + 3 ≥ 2x - 6

Here,

6 + 3 ≥ 2x - x

Then,

9 ≥ x

That is,

The solution for x + 3 is greater than or equal to 2x - 6 is x ≤ 9.

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The horizontal asymptote of function f(x) is y=6.5, which is a straight line, which means that even if time is infinite, the pH of the mouth will not rise above 6.5, which is the normal pH of the mouth.

A function's horizontal asymptote is a horizontal line with which the function's graph appears to coincide but does not actually coincide. The horizontal asymptote is used to determine the behavior of the function.

When either lim x f(x) = k or lim x - f(x) = k, the horizontal asymptote of a function y = f(x) is a line y = k. . It is commonly abbreviated as HA. In this case, k is a real number that the function approaches when x is extremely large or extremely small.However, the maximum number of asymptotes that a function can have is 2.

Given,

\(f(x)=\frac{6.5x^2-89.4x+3734}{x^2+576}\)

The horizontal asymptote of the function f(x) can be determined by

\(y=\lim_{x \to \infty} f(x)\\\\=\lim_{x \to \infty}\frac{6.5x^2-89.4x+3734}{x^2+576}\\\\=\lim_{x \to \infty}\frac{x^2(6.5-\frac{89.4}{x}+\frac{3734}{x^2})}{x^2(1+\frac{576}{x^2})}\\\\=\lim_{x \to \infty}\frac{(6.5-\frac{89.4}{x}+\frac{3734}{x^2})}{(1+\frac{576}{x^2})}\\\\=\frac{(6.5-\frac{89.4}{ \infty}+\frac{3734}{ \infty})}{(1+\frac{576}{ \infty})}\\\\=\frac{6.5-0+0}{1+0}\\\\=\frac{6.5}{1}=6.5\)

Thus, the horizontal asymptote of function f(x) is y=6.5 which is straight line which means even the time reaches infinity the pH of mouth will not increase more than 6.5, which is the normal pH of mouth.

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Your question is incomplete, here is the complete question.

The function \(f(x)=\frac{6.5x^2-89.4x+3734}{x^2+576}\) models the pH level f(x) of a mouth x minutes after eating food containing sugar. The graph of this function is shown.

What is the equation is the horizontal asymptote associated with is function? Describe what this means in terms of mouth's pH level over time.

Answer:

D

Step-by-step explanation:

Somehting bknbye3uehnfhnjun Español uno, como sulfhídrica

Answer:

The line should be a negative sloping line that looks something like this:

Answer:

Yes

Step-by-step explanation:

The statement is true. Simple random sampling is a method of selecting a sample from a larger population in which every member of the population has an equal chance of being selected for the sample.

This method is associated with a high degree of generalizability because it ensures that the sample is representative of the population. When a sample is representative of the population, the findings from the sample can be generalized to the entire population with a high level of confidence.

Simple random sampling is considered to be one of the most reliable and unbiased methods of sampling, making it a popular choice in many research studies.

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Yes, the equation y = 5x represents a proportional relationship

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=5x.

In a proportional relationship, the ratio of y to x is constant.

In the given equation the variable x and y has a proportional relationship.

The equation is in the form of y=mx+b

the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.

Hence,  Yes, the equation y = 5x represents a proportional relationship

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1.5·10⁸ kilometers

As a result, the Earth Sun distance is 150 million kilometers. To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

As a result, the solution is 1.5·10⁸

The benefits of Earth's prime placement in the solar system are numerous. We are just far enough away from the Sun for life to thrive.

Venus is excessively hot. Mars is quite chilly. Scientists refer to our region of space as the "Goldilocks Zone" because it looks to be ideal for life.

As previously stated, Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

On this hypothetical scale, these so-called "linebackers" resemble minuscule specks rather than the massive linebackers of the NFL.

If all of the known asteroids in our solar system were combined, their total mass would be less than 10% that of Earth's moon.

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Answer:1/2

Step-by-step explanation:

2y 1x

Answer-    -1/2

Detailed Explanation-

The slope is going down 1 and going over 2, so the slope is -1/2

Answer:

B, C, D, F

Step-by-step explanation:

4/8 is equivilant to 1/2 because 4 is half of 8. Therefore, 3 is half of 6 and 8 is half of 16. 7 is half of 14 so 7/11 is not equivilant to 4/8.

Hope I helped.

Answer:

To calculate the sales tax that is included in a company's receipts, divide the total amount received (for the items that are subject to sales tax) by "1 + the sales tax rate". In other words, if the sales tax rate is 6%, divide the sales taxable receipts by 1.06.