Find the area of a circle with a diameter of 8 cm. Use 3.24 for n. Round your answer to the nearest hundredth

Answer: B. $80

Step-by-step explanation:

\( \sqrt{74} \: units.\)

Step-by-step explanation:

Let (2,3) = (x1 , y1) and (7,10) = (x2 , y2)

By using Distance formula

\( \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \)

\( \sqrt{ {(7 - 2)}^{2} + {(10 - 3)}^{2} } \)

\( \sqrt{ {5}^{2} + {7}^{2} } \)

\( \sqrt{25 + 49} \)

\( \sqrt{74} \) units.

False because descriptive statistics doesn't make any prediction, but inferential statistics make predictions about a population based on a sample of data taken from the population.

Descriptive statistics are informational coefficients that summarize a given data set, but they can't make predictions about the population based on a sample of data for the example is chart or graph.

It has differences from Inferential statistics which allow you to test a hypothesis or prediction from the data. The prediction is made by collecting the sample of data which is taken from the population such as calculating the z-score or ANOVA test.

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a. The decimal is terminating and the rational number is 0.

b. The decimal is terminating and the rational number is 0.

c. The decimal is repeating and the rational number is 0.161616...

d. The decimal is terminating and the rational number is 0.

To write a rational number as a decimal, you need to divide the numerator by the denominator. Let's go through each option to determine which decimal is repeating or terminating.

a. 0: This decimal is terminating because there are no numbers after the decimal point. The rational number is 0.

b. 0: This decimal is also terminating because there are no numbers after the decimal point. The rational number is 0.

c. 0.16 overbar: This decimal has a line over the 16, indicating that it is repeating. The rational number is 0.161616...

d. 0: This decimal is terminating because there are no numbers after the decimal point. The rational number is 0.

So, to summarize:

a. The decimal is terminating and the rational number is 0.

b. The decimal is terminating and the rational number is 0.

c. The decimal is repeating and the rational number is 0.161616...

d. The decimal is terminating and the rational number is 0.

.

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We are given an estimate equation.

Let the estimate sales volume be "s" and advertising expenditure be "a".

The given equation is:

The company has a target sales of 175,000, which is a value for "s".

To get how much they need to allocate for advertising, we can solve for "a" in the equation and substitute the "s" value with 175,000:

Now we substitute 175,000 into "s":

So, by the equation estimate, the sales manager should allocate $327,239 for advertising.

1.  -4, -2, 0, 2... is an arithmetic sequences with a common difference of 2.

2.1/2, 5/8, 3/4, 13/16... is not an arithmetic sequences.

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference, denoted by the letter d.

We use the common difference to go from one term to another.

Take the current term and add the common difference to get to the next term, and so on. That is how the terms in the sequence are generated.

The given sequence can only be an arithmetic sequences if they have same common difference

1.

2-0 = 2

0 - (-2) = 2

-2 -(-4) = 2

Thus, the given sequence is an arithmetic sequences with a common difference of 2.

2.

13/16-3/4 = 1/16

3/4 -5/8  = 1/8

5/8 - 1/2 = 1/8

Thus, the given sequence is not an arithmetic sequences.

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Complete question:

Arithmetic Sequences as Linear Functions.

Determine whether each sequence is an arithmetic sequence. Write yes or no.

1. -4, -2, 0, 2, ...

2. 1/2, 5/8, 3/4, 13/16 ...

The first step is to draw a line longer than the given AB line.

An area or portion of a line with two endpoints is referred to as a line segment. A line segment, in contrast to a line, has a known length. A line segment's length can be calculated using either metric measurements like millimeters or centimeters, or conventional measurements like feet or inches.

A line can be extended on both ends forever while a line segment has endpoints.

Step 1: You are instructed to copy line segment AB.

Step 2: A line segment that is longer than line segment AB is drawn in step two. Identify C as one of its endpoints.

Step 3: Position the anchor on one endpoint of line segment AB and the pencil point on the other endpoint of the segment by opening your compass.

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Answer:la pregunta es qué tanto por ciento de 25 es 22

entonces En este caso ese todo es 25

luego por regla de tres si 25 es el 100%

22= 2200/25 =88%

Respuesta 22 es el 88% de 25

para comprobar= 88x25 /100=22 y es correcto

Step-by-step explanation:

The correct statements are:

1). Comparatively to traditional variable sampling, monetary unit sampling typically chooses lesser dollar transactions or components from an account for analysis.

3). The central limit theorem and the principles of probability are used in traditional variable sampling.

A sample technique called the monetary unit is used in accounting and auditing to check the quality and completeness of financial information.

Each dollar in a population or account balance has an equal chance of being chosen for testing in monetary unit sampling. This implies that larger transactions or components are more likely than smaller ones to be chosen for investigation.

The first and third sentences are true, respectively:

Comparatively to the traditional variables sample, monetary unit sampling tends to examine the smaller dollar transactions or components within the account.

The central limit theorem and the principles of probability are used in traditional variable sampling.

The second assertion is both somewhat true and false:

The monetary unit or the traditional variables sampling are used for variable sampling.

This claim that variables can be sampled using traditional variables sampling is true. However, it is false to claim that variables sampling may be accomplished by monetary unit sample because this kind of non-statistical sampling excludes variables sampling from its scope.

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Answer:

-15

Step-by-step explanation:

We proceed as follows;

In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.

Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.

Thus, we have;

2a(b-3) + 5b + _

Now, putting -15 will give us the same expression in the first bracket and this gives us the following;

2a(b-3) + 5b-15

2a(b-3) + 5(b-3)

So we can have ; (2a+5)(b-3)

Hence the constant used is -15

The function is discontinuous at the weight values 1, 2, and 3 ounces in the open interval (0, 3.5).

a. The piecewise function, P(w), that determines the price P in cents as a function of the weight w in ounces can be defined as follows:

P(w) =

46¢ if 0 < w ≤ 1

73¢ if 1 < w ≤ 2

91¢ if 2 < w ≤ 3

$1.13 if 3 < w ≤ 3.5

b. A sketch of the graph of P(w) attached:

The graph consists of four line segments at different price levels, corresponding to the weight ranges defined in the piecewise function.

c. The function is discontinuous at the following points in the open interval (0, 3.5):

At w = 1, there is a jump in price from 46¢ to 73¢.

At w = 2, there is another jump in price from 73¢ to 91¢.

At w = 3, there is a third jump in price from 91¢ to $1.13.

These points represent the boundaries between weight ranges, where the price changes abruptly.

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Answer:

4

Step-by-step explanation:

The height of the triangle is 4 cm if the a = 6 cm and b = 5 cm and applying Pythagoras theorem.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We can draw a right angle triangle to find the hieght of the triangle.

Applying Pythagoras theorem.

Let h be the height:

b² = (a/2)² + h²

5² = (6/2)² + h²

5² = (3)² + h²

h = 4 cm

Thus, the height of the triangle is 4 cm if the a = 6 cm and b = 5 cm and applying Pythagoras theorem.

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Answer: a. The balance in the account will not be affected until the police car is received

Step-by-step explanation:

The options are:

a)The balance in the account will not be affected until the police car is received.

b)The balance in the account will be increased.

c)The balance in the account will be decreased.

d)Purchase orders never affect any budgetary account balances.

Unencumbered balance is typically used in governmental accounting and it refers to part of an appropriation not spent yet. In governmental accounting, this is the part of the funds available that's left and hasn't been used yet.

Based on the information given, the effect that this will event will have on the unencumbered balance in the account will be that the balance in the account will not be affected until the police car is received.

Answer:

\(x = 14.13ft\)

Step-by-step explanation:

Given

See attachment for illustration

Required

Find x

To do this, we apply Pythagoras theorem.

From the attachment, the length of the hypotenuse is 16.7ft

While the length of the opposite/adjacent is 8.9ft

Length x is calculated using:

\(16.7^2 = 8.9^2 + x^2\)

\(x^2 = 16.7^2 - 8.9^2\)

\(x^2 = 199.68\)

Take square roots

\(x = \sqrt{199.68\)

\(x = 14.13ft\)

The distance between the two platforms should be  14.13 ft.

Since the length of the hypotenuse is 16.7ft.

And,  length of the opposite/adjacent is 8.9ft.

Now the distance between should be

\(16.7^2 = 8.9^2 + x^2\\\\x^2 = 16.7^2 - 8.9^2\\\\x^2 = 199.68\\\\x = \sqrt{199.68}\)

= 14.13 ft.

hence, The distance between the two platforms should be  14.13 ft.

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Answer:

34.83

Step-by-step explanation:

To solve this question, you need to use the equation a2+b2=c2.

The shorter side of this triange is a, and the longer side is b. 22x22=484, and 27x27=729. Add these together to get 1213. Press a button on your calculator that looks like √. Once you press it, you will recieve your answer.

The equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

To find the slope of the tangent line to the parabola at the point (1,5), we need to find the derivative of the equation y = 6x - x² and evaluate it at x = 1.

Taking the derivative of y with respect to x:

dy/dx = d(6x - x²)/dx

= 6 - 2x

Now, we can substitute x = 1 into the derivative to find the slope at that point:

slope = 6 - 2(1)

= 6 - 2

= 4

So, the slope of the tangent line to the parabola at the point (1,5) is 4.

To find the equation of the tangent line, we need to use the point-slope form of a line.

The equation is given by:

y - y₁ = m(x - x₁)

Substituting the values we have:

y - 5 = 4(x - 1)

Expanding and simplifying:

y - 5 = 4x - 4

Moving the constant term to the other side:

y = 4x + 1

Therefore, the equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

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Complete question =

Find the slope of the tangent line to the parabola at the point (1,5). y = 6x-x². find an equation of the tangent line.

Box and whisker plots are used to represent the quartiles and the spread of a dataset.

The values of the term are:

See attachment for the guide on how to read the box and whisker plots.

Using the attachment, we have the following values

The range is then calculated as:

\(Range = Highest - Least\)

\(Range = 19 - 7\)

\(Range = 12\)

The interquartile range is the difference between the 25th and the 75th percentile.

So, we have:

\(IQR = 14 - 9\)

\(IQR =5\)

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Answer:

2) -3x+10

4) -4x+10+x

Step-by-step explanation:

Use the distributive property to get rid of the parentheses.

(2 × -2x) + (2 × 5) + x

-4x + 10 +x is correct, but the x's can be combined.

(-4x + x) + 10 = -3x + 10

Answer:

a

Step-by-step explanation:

The x- and y-coordinates of the center of mass are; (20, 0)

The center of mass is the location where the sum of the relative position of the masses in a mass distribution is zero. It is the point where force can be applied on the distributed mass without causing a rotation of the system.

The mas of the steel plate = 800 g = 0.8 kg

The base length of the isosceles triangular plate = 20 cm = 0.2 m

The height of the isosceles triangular plate = 30 cm = 0.3 m

Considering a small strip of height, dx and width, I, we get

Area of small strip, dA = I·dx

Density of the plate for a unit thickness, ρ = M/A

Density of the small strip of mass dm = dm/dA

Considering the density of the plate as uniform, we get;

\(\displaystyle {\frac{dm}{dA} =\frac{M}{A}\)

Therefore;

\(\displaystyle {dm=\frac{M}{A}\times dA}\)

The area of the triangular plate, A = (1/2) × 0.2 m × 0.3 m = 0.03 m²

Mass of the plate, M = 0.8 kg

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx}\)

The width of the small strip, I, located at a distance x from the vertex of the triangular plate, using similar triangles, indicates;

\(\dfrac{I}{20} = \dfrac{x}{30}\)

\(I=20\times \dfrac{x}{30} = \dfrac{2}{3} \cdot x\)

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx} = \frac{0.8}{0.03}\times \dfrac{2}{3} \cdot x\cdot dx}\)

The center of mass, \(x_{cm}\), can be obtained with the formula; \(\displaystyle {x_{cm} = \dfrac{1}{M} \cdot \int\limits {x} \, dm }\)

Therefore; \(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx }\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx } = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0\)

\(\displaystyle {x_{cm} = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0=\frac{200}{9} \times \frac{0.027}{3} =0.2\)

The location of the x-coordinate center of mass, \(x_{cm}\) = 0.2 m = 20 cm from the vertex, which is the same location as the x-coordinate of the centroid of the plate of uniform density.

The plate is symmetrical about the x-axis, therefore, the y-coordinate of the center of mass is along the x-axis, which is \(y_{cm}\) = 0

The coordinate of the center of mass = (0.2, 0)

Part of the question requires the location of the coordinate of the center of mass of the triangular plate

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There is no real solution of the equation.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given is an equation x = 2 / (x-2) we need to find the solution,

x = 2 / (x-2)

x(x-2) = 2

x²-2x = 2

x²-2x-2 = 0

Using the quadratic formula, we get the solution of this equation,

x = 1±√3

Hence, there is no real solution of the equation.

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Answer:

᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌ ᠌

Answer:

Step-by-step explanation:

x=5 y=3

x=-1 , y=-2

slope is 2/3

y=2/3 x +b

3=2/3(5)+b

b=-1/3

y=2/3 x -1/3

y=2/3(-1)-1/3

y=-1 when x=-1

Given:​​​

Required:

Simplify the expression.

Explanation:

The given expression is:

_______ ÷ 10 = 2.705​

Write it in fraction form

Final Answer:

Thus the value of the blank will be 27.05

The expression that is equivalent to the given expression is 6y³ + 8y⁵

From the question, we are to determine the expression that is equivalent to the given expression

The given expression is

2y (3y^2 + 4y^4)

This can be properly written as

2y (3y² + 4y⁴)

Now, to determine the expression that is equivalent to this expression, we will expand the expression by applying the distributive property.

2y(3y² + 4y⁴)

2y(3y²) + 2y(4y⁴)

Multiplying

6y³ + 8y⁵

Hence,

The expression is 6y³ + 8y⁵

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Answer:

Hope this helped you a little

Step-by-step explanation:

Answer:

-75%

Step-by-step explanation:

Answer:

the answer would be 40%

Step-by-step explanation:

you would do 16 divided by 4 and get 4 and a 0 that would be your answer.

Answer:

MY=80

Step-by-step explanation:

MX=MY ( since M is the midpoint)

2x+10=3x-5

10+5=3x-2x

15=x

MX+MY=MX

2x+10+3x-5=MY

2(15)+10+3(15)-5=MY

MY=80

The radius of the circular slice is 2.0 inches.

The diameter of the grapefruit is given as 6.0 inches, and since diameter is the distance from one end of the sphere to another end passing through the center, it means the radius is half of the diameter, which is 3.0 inches.

If an amateur fruit slicer misses its center by one inch, then it means the center is not cut off, and we are to find the radius of the circular slice.

From the diagram above, the distance between the point A (where the slicer missed) and the center is 1.0 inch.

herefore, the radius of the circular slice = radius of the grapefruit - distance between A and the center= 3.0 - 1.0= 2.0 inches.

Summary: The radius of the circular slice of the grapefruit is 2.0 inches.

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Statistical time division multiplexing is sometimes called asynchronous time division multiplexing. The correct answer is "c. asynchronous."

Statistical time division multiplexing is sometimes called asynchronous time division multiplexing. However, it should be noted that statistical time division multiplexing is different from synchronous time division multiplexing, which divides the time slots in a fixed, predetermined manner. In statistical time division multiplexing, the time slots are allocated dynamically based on the data traffic, hence the term "statistical".

More specifically, asynchrony describes the relationship between two or more events/objects that interact in the same system but do not occur in a predetermined manner and are not necessarily dependent on each other's existence for escape. They do not cooperate with each other, which means they may or may not occur simultaneously as they have their own separate processes.

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