An object is moving along the x x -axis. At t t = 0 it is at x x = 0. Its x x -component of velocity vx v x as a function of time is given by vx(t)=αt−βt3 v x ( t ) = α t − β t 3 , where α= α = 7.2 m/s2 m / s 2 and β= β = 4.8 m/s4 m / s 4 .
(a) At what nonzero time t t is the object again at x x = 0? Express your answer with the appropriate units.

The formula for calculating the z-score is z = (x-μ)/σ.

where x is the raw score, μ is the population mean, and σ is the population standard deviation. As the formula suggests, the Z-score is simply the raw score minus the population mean divided by the population standard deviation.

A positive Z-score indicates that the raw score is higher than the average. For example, a z-score of +1 is one standard deviation above the mean.

A negative z-score indicates that the raw score is below average. For example, a Z-score of -2 is two standard deviations below the mean.

Another way to interpret z-scores is to create a standard normal distribution (also known as the z-score distribution or probability distribution).

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The sequence of transformations performed by Isabella is Rotate 90° clockwise about the origin; translate 10 units down.

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, Luther drew on his graph paper. After performing a series of transformations, Isabella drew. we need to find the transformations performed by Isabella,

We see, that, the sequence performed by Isabella is a rotation of 90°, from the origin, also the image is 10 units down to the original figure.

Hence, the sequence of transformations performed by Isabella is Rotate 90° clockwise about the origin; translate 10 units down.

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The complete question :-

A ceramic paperweight is shaped like a square pyramid. the height of the paperweight is 1 inch.

What is Pythagorean Theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base, and Hypotenuse.

To find the height of the paperweight, we can use the Pythagorean Theorem, which relates the lengths of the sides of a right triangle.

In this case, the height of the paperweight, which is the unknown side, forms a right triangle with one of the slant heights and half the length of the square base, as shown in the diagram below:

     /\  

    /   \

   /      \

  /         \

 /_ _ _ _\

     4 in

To apply the Pythagorean Theorem, we can write:

height² + (1/2 * 4 in)² = 3 in²

Simplifying, we get:

height² + 8 in² = 9 in²

Subtracting 8 in² from both sides, we get:

height² = 1 in²

Taking the square root of both sides, we get:

height = 1 in

Therefore, the height of the paperweight is 1 inch.

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The length of the shadow casted by the building is 31.06 meters. The solution has been obtained by using trigonometry.

What is trigonometry?

Trigonometry is a discipline of mathematics that deals with the study of sides, angles, and relationships in triangles.

We are given that at a certain time of day, the angle of elevation of the sun is 44 degrees. The height of the building is given as 30 meters.

Using trigonometry,

We know that tan theta = opposite side/ adjacent side

So,

⇒tan 44° = 30/x

⇒0.9657 = 30/x

⇒x = 31.06

Hence, the length of the shadow casted by the building is 31.06 meters.

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Answer:

I think the answer is 256.224

Step-by-step explanation:

The closure of set a) includes the boundary, unit circle, and origin; the closure of set b) includes the boundary, line segments, origin, and closed disk; the closure of set c) includes the boundary and origin; the closure of set d) includes the boundary, imaginary axis, origin, and closed half-plane to the right of the imaginary axis.

a) The closure of the set {-pi < arg(z) < pi, z ≠ 0} includes all points on the boundary of this region. This boundary consists of the real axis (where arg(z) = 0), the imaginary axis (where arg(z) = ±pi/2), and the unit circle centered at the origin (where |z| = 1). The closure of the set also includes the point at the origin, since this is a limit point of the set.

b) The closure of the set {|Re(z)| < |z| ≤ 1/2} includes all points on the boundary of this region. This boundary consists of the unit circle centered at the origin (where |z| = 1/2) and the line segments connecting this circle to the x-axis (where |z| = |Re(z)|). The closure of the set also includes the origin and the points on the closed disk centered at the origin with radius 1/2.

c) The closure of the set {Re(1/z) ≤ 1/2} includes all points on the boundary of this region. This boundary consists of the line Re(z) = 1/2 (where the imaginary part of z can take on any value) and the point at the origin, since this is a limit point of the set.

d) The closure of the set {Re(z^2) > 0} includes all points on the boundary of this region. This boundary consists of the imaginary axis (where Re(z^2) = 0) and the rays emanating from the origin at angles ±π/4 (where Re(z^2) is positive). The closure of the set also includes the origin and the points on the closed half-plane to the right of the imaginary axis.

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Using pattern, The sum of the digits obtained when you divide (1024 - 1) by 11 is 12.

In the real world, in artificial design, or in abstract concepts, a pattern is a regularity. As a result, a pattern's components repeat in a predictable way. An example of a geometric pattern is one that repeats geometric shapes, much like a wallpaper pattern would. Patterns can be immediately observed with any sense.

Given that 99=11×9;  1001=11×91 and 9999=11×909

(1024-1) = 11 * x

x = 1023 ÷ 11

x = (990 + 33) ÷ 11

x = (90* 11 + 3*11) ÷ 11

x = 90 + 3

x = 93

So the sum of digits is 9 + 3 = 12

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45 is 5 times as many as 9 and is 9 times as many as 5.

We have the following statement -

45 is x times as many as 9 and is y times as many as 5

We have to find x and y.

A number 'n' is 'a' times as many as 'b'. Then n equals to ?

n will be equal to -

n = ab

According to the question -

45 is x times as many as 9 and is y times as many as 5. Using the method shown above we can write two equations -

45 =  x 9     ---(1)

and

45 = y x 5     ---(2)

Now -

Solving both, we get -

x = 5 and y = 9

Hence, 45 is 5 times as many as 9 and is 9 times as many as 5.

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A partial fraction calculator is a tool used to decompose a rational function into simpler fractions, known as partial fractions.

A partial fraction calculator is a tool used to decompose a rational function into simpler fractions. It is commonly used in algebra and calculus to simplify complex expressions and solve equations. The partial fraction calculator takes a rational function as input and breaks it down into simpler fractions that can be more easily integrated or manipulated. This process involves finding the partial fraction decomposition of the rational function by factoring the denominator into linear and quadratic factors and then solving for the coefficients of the partial fractions. This calculator can be useful for students, engineers, and anyone working with complex algebraic expressions.

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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

1800

200 is the hundreds place value
2000 is the value to its left
2000-200 is 1800

The approach used to test if the function is even or odd is as follows: if it is an even function, it will be symmetrical around the y-axis: f(x)=f (-x). Odd functions are also symmetric about the x- and y-axes: f(x)=-f (-x).

When its input is changed to its negative, the output of an even function remains intact.

An odd function is one whose output changes sign when its parameter is made negative.

We may plot a function and examine its graph to determine if it is even or odd. The function is an even function if the graph is symmetrical around the origin (x=0, y=0). The function is an odd function if the graph is symmetrical around the y-axis (x=0).

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Answer:

It would be zero

Step-by-step explanation:

Since the parabola intersects the x-axis at (-2,0) and (4,0), those are the roots (or zeros) of the quadratic function. Therefore, the factors of the function are (x+2) and (x-4).

A graph is a visual representation of data or mathematical functions that uses points, lines, and curves to illustrate relationships between variables or values. Graphs are used in many fields, including mathematics, science, engineering, business, and economics, to convey information in a clear and concise way.

There are several types of graphs, each with its own purpose and style. The most common types of graphs include:

Line graphs: These graphs use lines to connect data points and are used to show trends over time.

Bar graphs: These graphs use bars to represent data and are used to compare values between different categories.

Pie charts: These graphs use a circular shape divided into sections to represent proportions or percentages of a whole.

Scatter plots: These graphs use dots to represent data points and are used to show relationships between two variables.

Histograms: These graphs use bars to represent the frequency of data within different intervals or ranges.

Graphs can be created by hand or using software such as Microsoft Excel, MATLAB, or Python. They can also be customized with different colors, labels, and formatting options to improve their clarity and impact.

Overall, graphs are a powerful tool for visualizing data and communicating complex information in a simple and effective way.

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Answer:

The answer might be B. $11, 796 i'm not sure

The value of sin 1 is 0.841.

It is needed to find the value of the sine function of 1.

Let's take it in radians since it is not mentioned whether the angle is in degrees or radians.

The sine function is the function which is defined as the ratio of the opposite to the hypotenuse o a right triangle.

So consider the right triangle with one of the angles as 1 radian or 57.296 degrees, then find the ratio of the opposite side to the hypotenuse.

The value is :

sin(1 radian) = 0.841

Hence the sine of 1 is 0.841.

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Answer: 52.64

Step-by-step explanation: add 18.9 and 33.74

11/21 as a decimal rounded to the nearest tenth is 0.5. Below, you will learn how to solve the problem.

To convert the fraction 11/21 to a decimal rounded to the nearest tenth, we can follow these steps:

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To become a forensic pathologist, you must first complete an undergraduate degree in medicine, biology, chemistry, or a similar discipline, with electives in forensic science, psychology, or a related field.

what is a forensic pathologist?

The forensic pathologist is a pathologist who specialises in the examination of people who die suddenly, unexpectedly, or brutally. A forensic pathologist specialises in establishing the cause and manner of death.

Autopsies are performed to determine the presence or absence of disease, injury, or poisoning; to evaluate historical and law-enforcement investigative information pertaining to determine the cause of death; to gather medical evidence, such as trace evidence and secretions; to document sexual assault; and to recreate how a person was injured.

Now,

To become a forensic pathologist, you must first complete an undergraduate degree in medicine, biology, chemistry, or a similar discipline, with electives in forensic science, psychology, or a related field.

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The answer is A: x = 22√3 / 2 and y = 11. We can simplify x by multiplying both the numerator and denominator by 2 to get x = 22√3.

A right-angle triangle is a type of triangle that has one angle that measures exactly 90 degrees (a right angle). This angle is formed where the two shorter sides of the triangle meet. The side opposite to the right angle is called the hypotenuse, while the other two sides are called the legs.

The Pythagorean theorem is a fundamental relationship that applies to right-angle triangles. It states that the sum of the squares of the two shorter sides (legs) of a right-angle triangle is equal to the square of the hypotenuse. In other words, a² + b² = c², where a and b are the lengths of the legs, and c is the length of the hypotenuse.

Right-angle triangles are commonly used in mathematics, physics, engineering, and many other fields. They can be used to solve problems related to distances, heights, and angles, and are a fundamental building block in many geometric constructions.

The special properties of right-angle triangles also make them useful in practical applications, such as in construction, where they can be used to measure angles and distances accurately, and in navigation, where they can be used to calculate distances between two points using trigonometric functions.

In triangle ABC, we know that angle BAC is 30 degrees, and angle ABC is a right angle. Therefore, angle ACB is 60 degrees (since the angles in a triangle add up to 180 degrees).

We can use the sine and cosine ratios to find the values of x and y. Using the definition of sine and cosine:

sin(30) = opposite / hypotenuse

cos(30) = adjacent / hypotenuse

In this case, AB is the adjacent side to angle BAC, and AC is the hypotenuse. Therefore:

cos(30) = AB / AC

Substituting the given values, we get:

cos(30) = x / y

Solving for x, we get:

x = y cos(30)

Plugging in y = 11, we get:

x = 11 cos(30)

Using a calculator, we can find that cos(30) = √3 / 2, so:

x = 11 × √3 / 2

x = 11√3 / 2

Therefore, the answer is A: x = 22√3 / 2 and y = 11. We can simplify x by multiplying both the numerator and denominator by 2 to get x = 22√3.

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Answer: 13

Step-by-step explanation:

Firstly, you would plug in the values that you were given for x and y into the equation.

((4 * (3) * (2)) + (2))/2 = 13

Answer:

13

Step-by-step explanation:

(4xy+y) ÷ 2

= (4x3x2+2) ÷ 2

= 26 ÷ 2

= 13

The bucket of fish are the sea otters fed each day is 2 buckets or 3/2 bucket(in fractions).

What is fraction?
A fraction is a mathematical expression that represents a part of a whole. It is written as a number (the numerator) over another number (the denominator), separated by a horizontal line. The denominator indicates the number of equal parts into which the whole is divided, while the numerator indicates how many of those parts are being considered.

Explanation:

The sea otters are fed 1/4 as much fish as the dolphins, which means they are fed:

(1/4) x 6 = 6/4 = 3/2 buckets of fish each day.

However, we cannot have half a bucket of fish, so we need to round this up to the nearest whole number. Therefore, the sea otters are fed:

2 buckets of fish each day.

So the answer is: 2 buckets.

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The number 713.49 is already written in standard form.

Standard form, also known as standard notation or scientific notation, is a way of writing numbers using digits and decimal places. In standard form, a number is written with one digit to the left of the decimal point and the remaining digits to the right of the decimal point.

For example, the number 7,134.9 would be written in standard form as 7,134.9. The number 713.49 is already written in this format, so there is no need to convert it to standard form.

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Answer:

Area is approximately 113.1

The value of 7 after converted into decimals is 7.0.

To convert the integer 7 into a decimal, you simply need to place a decimal point after the 7 and add a zero to the right of the decimal point. This is because in the decimal system, each digit to the right of the decimal point represents a power of 10, starting with 10^-1 or 0.1.

Therefore, 7 can be represented as 7.0 in decimal form. Note that trailing zeros to the right of the decimal point do not change the value of the number. In other words, 7, 7.0, and 7.00 all represent the same value in decimal form.

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The range of the number of miles Maria jogged is 1 to 7.99

C. 1 to 7.99

What is the histogram?

A histogram is a graph used to represent the frequency distribution of a few data Set of one variable.

Let's recall that for calculating the range of a data set, we have to find out the lowest and the highest values of the data set.

As we can see in the graph below, the lowest value in the histogram is 1 and the highest is 7.99, therefore the correct answer is:

Hence, the range of the number of miles Maria jogged is 1 to 7.99

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Therefore, the solutions to the simultaneous equation are (x, y) = ((5 + √(21))/2, (5 - √(21))/2) and (x, y) = ((5 - √(21))/2, (5 + √(21))/2).

To solve the simultaneous equation 1÷x + 1÷y = 5, 1÷y - 1÷x = 1, we can use the substitution method. Here are the steps to solve the equation:
1. Rearrange the first equation to get 1÷y = 5 - 1÷x
2. Substitute this into the second equation to get 1÷(5 - 1÷x) - 1÷x = 1
3. Multiply both sides by x(5 - 1÷x) to get x - (5 - 1÷x) = x(5 - 1÷x)
4. Simplify and rearrange to get x² - 5x + 1 = 0
5. Use the quadratic formula to solve for x: x = (-(-5) ± √((-5)² - 4(1)(1)))÷(2(1)) = (5 ± √(21))/2
6. Substitute the values of x back into the first equation to find the corresponding values of y: y = 1÷(5 - 1÷((5 + √(21))/2)) = (5 - √(21))/2 and y = 1÷(5 - 1÷((5 - √(21))/2)) = (5 + √(21))/2

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We converted the measurement of 6 ft x 6 ft to inches using a conversion factor of 12 inches per foot, resulting in a total area of 5,184 square inches.

Measurement is an important aspect of our daily lives, and it involves quantifying the size, length, or dimensions of an object or space. Different units of measurement are used to express the size or length of an object, depending on the context or purpose.

The measurement of 6 ft x 6 ft is the size or area of a square-shaped object, where each side is 6 ft long. To convert this measurement to inches, we need to use a conversion factor that relates feet to inches. One foot is equal to 12 inches, so we can multiply each side of the square by 12 to get the corresponding measurement in inches.

6 ft x 12 inches/ft = 72 inches

Therefore, the measurement of 6 ft x 6 ft in inches is 72 inches x 72 inches, which equals 5,184 square inches. This means that if we had a square-shaped object with sides measuring 6 feet, the total area of the object would be 5,184 square inches.

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