Match each circle term with an example from the diagram
Secant
Tangent
Chord
Radius
<—> <—> __ __
DH EG AE HC

I think it could represent the 100-yard dash. The graph represents distance versus time, which is a common way to graphically display motion.

A graph is a visual representation of data that displays the relationship between two or more variables. Graphs can be used to illustrate numerical information in a clear and concise way, making it easier to understand and analyze complex sets of data. Graphs can be created using various types of software or by hand, and there are many different types of graphs, including line graphs, bar graphs, scatter plots, pie charts, and more.

Here,

The vertical axis represents the distance, and the horizontal axis represents time. The line on the graph shows how the distance traveled changes with respect to time.

The graph also shows that the runner covers a certain distance in a specific amount of time, which is a fundamental concept in physics. In the case of the 100-yard dash, the graph shows how the runner covers 100 yards in a certain amount of time.

Overall, the graph displays the key characteristics of motion and can be used to analyze and compare the performance of athletes in various sports.

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.....Answer:

..........Step-by-step explanation:

The equation for the circle O, given the diameter, the secant K and the common point of tangent I, is:

(x - 8)² + (y - 7)² = 15²

(x - 8)² + (y - 7)² = 225

To determine the equation of the circle O with center S(8, 7) and point M(-5, -2) on the secant k, we first need to find the radius of the circle.

Given that the distance from point S to secant k is 5, we can use the Pythagorean theorem to find the length of MA, which is equal to the radius of the circle.

MA² + AS² = MS²

MA² + 5² = MS²

Calculate the distance between points M and S:

MS = √((8 - (-5))² + (7 - (-2))²) = √(13² + 9²) = √(169 + 81) = √250

Now we can find the length of MA:

MA² + 5² = 250

MA² = 250 - 25 = 225

MA = √225 = 15

The equation of a circle with center (h, k) and radius r is given by:

(x - h)² + (y - k)² = r²

Using the given center S(8, 7) and radius 15, the equation of the circle O is:

(x - 8)² + (y - 7)² = 15²

(x - 8)² + (y - 7)² = 225

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There are number of thesis that are given for mathematics by various professors and scientists at various levels that are being implemented from time to time.

A theory is nothing but a set of statements which may be based on certain principles that might have been derived by performing some experiments and attaining a proper conclusion. For example, if we say 'the sky is blue'. It means this truth can never be changed irrespective of the situations. This will remain mortal.

Similarly, there are plenty of terms in mathematics such as decimals, percentage, geometry, algebra and more fundamentals. These are existing since ages and have been challenged also. But the theory remains the same. There operas-memoranda remains the same. So various scholars, have given various theories of mathematics.

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Answer:

7x^2 - 7x + 17

Step-by-step explanation:

we can subtract what they already have from what they total cost for the microphones:

8x^2 - 4x + 9 - (x^2) - (x - 14) - (2x + 6)

simplify this:

8^2 - 4x + 9 - x^2 - x + 14 - 2x - 6 =

7x^2 - 7x + 17

Answer:

D

Step-by-step explanation:

8×16=128

2×4=8

128+8=136m^2

answer: D

The dilation of the black figure to blue figure is a reduction with a scale factor of 0.5

A dilation is defined as a transformation that produces an image that is the same shape as the original, but is a different size.

It can either be an enlargement or a reduction.

An enlargement means a scale factor greater than 1 while a reduction is a scale factor less than 1.

Thus, this dilation is a reduction.

Coordinates of initial figure are:

(-8, 10), (10, 10), (8, -8), (2, -8)

Coordinates of dilated figure are:

(1, -4), (4, -4), (-4, 5), (5, 5)

Thus, it is clear that the scale factor is 0.5

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Step-by-step explanation:

Answer: 3.

Step-by-step explanation:

1 times 1/5 is 1/5.

1/5+ 2 times 1/5 is 1/5+2/5

1/5+2/5+ 3 times 1/5 is 1/5+2/5+3/5

1/5+2/5+3/5+ 4 times 1/5 is 1/5+2/5+3/5+4/5

1/5+2/5+3/5+4/5+ times 1/5 is 1/5+2/5+3/t+4/5+5/5

1/5+2/5+3/5+4/5+5/5=15/5

15/5=3

Answer:

d

Step-by-step explanation:

believe me it's d because it says it in the text above u just have to read it carefully

Hence, the rectangular prism has a surface area of 280 and 1/4 [tex]cm^2[/tex] as the  rectangular prism has the measurements .

A hexagon having four right angles (90º angles) and opposing sides of equal length is called to as a rectangle. It is a particular kind of rectangle in which every angle is a right angle. A rectangle has parallel opposed sides and diagonals that cut it in half. The length (l) and breadth (w), which have been perpendicular to one another, define a rectangle. A rectangle's area is equal to the product of the its width and length, or lw, and its perimeter is equal to the sum of all of its sides, or 2(l+w). In geometry, math, and daily life, such as in doors, frames, and picture frames, rectangles are frequently occurring forms.

given

The rectangular prism has the following measurements: 5 centimetres by 4 centimetres by 11 and three-quarters centimetres.

The region of each face is thus:

Face 1: 5 3/4 cm x 4 cm equals 23 [tex]cm^2[/tex]

Face 2: 5 and 3/4 inches by 11 and 3/4 inches is 70 and 1/8 centimetres square.

Face 3: 4 cm x 11 3/4 cm equals 47 [tex]cm^2[/tex]

Total surface area = 23 cm2 + 70 eighths of a cm2 + 47 eighths of a [tex]cm^2[/tex] + 23 eighths of a cm2

Surface area total = 280 and 1/4 [tex]cm^2[/tex]

Hence, the rectangular prism has a surface area of 280 and 1/4 [tex]cm^2[/tex] as the  rectangular prism has the measurements .

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We can conclude after answering the presented question that Hence the equation slower train's speed is 13.25 miles per hour, while the faster train's speed is 27.25 miles per hour (13.25 + 14).

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9". The purpose of equation solving is to determine the value or readings of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the calculation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

Because we know the two trains are going in the same direction, their relative speed equals the total of their speeds, which is (x + x+14) = 2x + 14.

We also know that the distance between them is shrinking at a pace of 648 miles in 4 hours, or at a rate of 648/4 = 162 miles per hour.

[tex]162 = (2x + 14) x 4 = distance = rate x time\\162 = 8x + 56\\106 = 8x\sx = 13.25\\[/tex]

Hence the slower train's speed is 13.25 miles per hour, while the faster train's speed is 27.25 miles per hour (13.25 + 14).

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Answer:

20

Step-by-step explanation:

it take 3 ⅓ to make a whole so to makee 6 wholes it would take 18 and 2 more thirds and that would 20 ⅓ in 6 ⅔

Answer:

b=46

Step-by-step explanation:

First we know that the sum of all three angles is 180. So that gives us the equation 2b+88=180, then we can solve.

2b=180-88

2b=92

b=46

So that means b=46!

As you may know, a straight line = 180°

Since we already have 88° as one of the values, we can simply subtract that from 180.

180 - 88 = 92

Next, divide 92 by 2

92 ÷ 2 = 46

With that being said, we can conclude that the value of B is 46.

You can double check this by adding all of the values together: 46 + 46 + 88 = 180

Answer:

Step-by-step explanation:

B. The graph οf functiοn f is stretched hοrizοntally by a scale factοr οf 3 tο create the graph οf functiοn g.

A linear transfοrmatiοn is a functiοn that mοves frοm οne vectοr space tο anοther while maintaining the underlying (linear) structure οf each vectοr space.

The rules fοr linear transfοrmatiοns are that

g(x) = a·f(b·(x-c)) +d

stretches the graph vertically by a factοr οf "a" (befοre the shift)

cοmpresses the graph hοrizοntally by a factοr οf "b" (befοre the shift)

shifts it tο the right by amοunt "c"

shifts it up by amοunt "d".

Yοur equatiοn has b=1/3, sο the graph is cοmpressed by a factοr οf 1/3, which is equivalent tο a stretch by a factοr οf 3.

The apprοpriate chοice οf descriptiοn is ...

b) the graph οf g(x) is hοrizοntally stretched by a factοr οf 3

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Complete Question:

Select the correct answer. If , which statement is true? if g(x) = f(1/3x)

A. The graph of function f is stretched vertically by a scale factor of 3 to create the graph of function g.

B. The graph of function f is stretched horizontally by a scale factor of 3 to create the graph of function g.

C. The graph of function f is compressed horizontally by a scale factor of to create the graph of function g.

D. The graph of function f is compressed vertically by a scale factor of to create the graph of function g.

Answer:

x = 4

Step-by-step explanation:

assuming you require the equation of the line passing through the given point.

A line with an undefined slope is a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (4, - 3 ) with x- coordinate 4 , then

x = 4 ← equation of line

Therefore, we can expect the world population to be around 17.6 billion in the year 2100 if it continues to increase exponentially with a doubling time of 60 years.

A decimal place is a position in a number that is to the right of the decimal point. It represents a fractional part of the number. For example, in the number 3.14159, the digit "1" is in the tenths place, the digit "4" is in the hundredths place, the digit "1" is in the thousandths place, and so on. Each place value to the right of the decimal point represents a power of 10 that is negative, such as tenths, hundredths, thousandths, ten-thousandths, and so on. The number of decimal places determines the degree of precision in the number.

by the question.

To determine the population in the year 2100, we need to calculate how many times the population will double between 2022 and 2100, which is 78 years.

78 years divided by 60 years is approximately 1.3, which means that the population will double 1.3 times between 2022 and 2100.

2 to the power of 1.3 is approximately 2.2, which means that the population in 2100 will be 2.2 times the population in 2022.

So, the population in 2100 will be:

8 billion x 2.2 = 17.6 billion (rounded to one decimal place)

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Basic Proportionality Theorem (BPT): If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio. This is also known as Thales theorem.

Given:

[tex]\angle Q= 90^\circ , XY \ || \ QR, PQ = 6 \ \text{cm}, PY = 4 \ \text{cm} \ \text{and} \ PX : XQ = 1 : 2[/tex]

Since, [tex]XY \ || \ QR[/tex],

[tex]PX/XQ = PY/YR[/tex]

[ By Thales theorem (BPT)]

[tex]\dfrac{1}{2} = PY/YR[/tex]      [tex][PX : XQ = 1 : 2][/tex]

[tex]\dfrac{1}{2} = 4 /(PR - PY)[/tex]

[tex][YR= PR - PY][/tex]

[tex]\dfrac{1}{2} = 4 /(PR - 4)[/tex]

[tex]PR - 4 = 2 \times 4[/tex]

[tex]PR - 4 = 8[/tex]

[tex]PR = 8 +4[/tex]

[tex]PR = 12 \ \text{cm}[/tex]

In right [tex]\Delta PQR[/tex],

[tex]PR^2 = PQ^2 + QR^2[/tex]

[ By Pythagoras theorem]

[tex]12^2 = 6^2 + QR^2[/tex]    [tex][\text{Given} : PQ= 6 \ \text{cm}][/tex]

[tex]144 = 36 + QR^2[/tex]

[tex]144 - 36 + QR^2[/tex]

[tex]108= QR^2[/tex]

[tex]QR =\sqrt{108} =\sqrt{3\times36} = 6\sqrt{3} \ \text{cm}[/tex]

Hence, the lengths of PR and QR is 12 cm and [tex]6\sqrt{3}[/tex] cm.

Answer:

Step-by-step explanation:

[tex]f(x)=16e^x-ex^e[/tex]

[tex]f'(x)=16e^x-e^2x^{e-1}[/tex]

[tex]f'(3)=16e^3-e^23^{e-1}[/tex]

[tex]f'(3)=e^2(16e-3^{e-1})[/tex]

Answer:

200

Step-by-step explanation:

199+1

Picking a male youngster who enjoys playing video games is more likely if you get a score of (4/10) * (6/10) = 24/100 = 6/25.

Probability is a mathematical concept that expresses the possibility or chance of an event happening. It is stated as a number between 0 and 1, where 0 denotes the impossibility of an event and 1 denotes its certainty. By dividing the number of favorable outcomes by the entire number of possible possibilities, the probability of an event is determined.

given

The odds of selecting a male adolescent at random are x/n, while the odds of selecting a teen whose preferred pastime is playing video games are y/n.

As these two occurrences are separate, the likelihood that both will occur is the product of the probabilities:

The odds of selecting a male teen who enjoys video games are (x/n) * (y/n) = xy/n2.

By dividing the numerator and denominator by the greatest common factor (GCF) of x and y, if one exists, this can be made simpler.

For instance, the probability is simplified as follows if x=4 and y=6, where the GCF is 2:

Picking a male youngster who enjoys playing video games is more likely if you get a score of (4/10) * (6/10) = 24/100 = 6/25.

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There are 4 cups of birdseed in the bag.

Algebra is a branch of mathematics that deals with symbols and the rules for manipulating these symbols to solve equations and understand mathematical relationships. It involves the use of letters and symbols to represent variables and numbers, and the manipulation of these variables and numbers using rules and operations such as addition, subtraction, multiplication, and division. The main goal of algebra is to solve equations, which involves finding the value of an unknown variable that satisfies the given equation.

In algebra, equations are often represented graphically as lines or curves on a coordinate plane, which allows for a visual representation of mathematical relationships. Algebraic equations are used in a variety of fields, including physics, engineering, finance, and computer science.

The study of algebra starts with basic arithmetic concepts and progresses to more complex topics such as linear equations, quadratic equations, and functions. The ability to understand and manipulate algebraic expressions is an essential skill in many areas of life, from solving practical problems to understanding complex mathematical theories.

If each of the 16 Cougar Scouts gets 1/4 of a cup of birdseed, then the total amount of birdseed in the bag can be found by multiplying the amount given to each scout by the number of scouts:

Total birdseed = (1/4) x 16 = 4 cups

Therefore, there are 4 cups of birdseed in the bag.

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The complete question is:

The length of arc-AB = 3π

The Circle identities refer to a set of fundamental identities in trigonometry that relate the six trigonometric functions of an angle in a right-angled triangle.

Given circle;

arc-AB (θ) = 20°  and  radius, r = 27

We know the formula,

length of arc = (θ/360°) × 2πr

after putting the values,

length of arc-AB = (20°/360°) × 2π × 27

length of arc-AB = (1/18) × 54π = 3π

Therefore, the length of arc-AB = 3π

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The length of arc-AB = 3π. The Circle identities are a collection of trigonometric fundamental identities that relate to the six trigonometric properties of an angle in a right-angled triangle.

The central angle and sector area are required to compute arc length without radius: Divide the value by the central angle in radians after multiplying the area by two. Calculate the square root of this fraction. To get the arc length, multiply this root by the centre angle once more. The arc length is shown to be identical to the radius length. Radians are the ratio constant between an arc length and a radius length.

Given circle;

arc-AB (θ) = 20°  and  

radius, r = 27

The length of an arc,

length of arc = (θ/360°) × 2πr

after substituting the values,

length of arc-AB = (20°/360°) × 2π × 27

Simplify the above equation,

length of arc-AB = (1/18) × 54π = 3π

Therefore, the length of arc-AB = 3π

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Answer:

Step-by-step explanation:

Total no. of possible outcomes = 6 (1,2,3,4,5,6,)

As given we have only one prime even no. from the above given set, that is 2.

Let's call this event A.

Total no. of favourable outcomes =P(A)= 1

Therefore the probability is  P(A)= 1/6

Answer:

Step-by-step explanation:

1.3

just divdve

Step-by-step explanation:

69) If 10 packages of shallots cost $40, then the cost of one package of shallots can be calculated as:

$40 ÷ 10 packages = $4 per package

To find out how many packages of shallots can be purchased with $8, divide the total amount of money by the cost per package:

$8 ÷ $4 per package = 2 packages

Therefore, with $8, you can buy 2 packages of shallots.

70) If three Bosc pears cost $2, we can use a proportion to determine how many pears we can buy for $4:

3 pears / $2 = x pears / $4

Cross-multiplying, we get:

3 pears × $4 = $2 × x pears

Simplifying, we get:

12 = 2x

Dividing both sides by 2, we get:

x = 6

Therefore, with $4, you can buy 6 Bosc pears.

71)If the exchange rate is 11 pounds for every $2, we can use a proportion to determine how many pounds we can get if we exchange $4:

11 pounds / $2 = x pounds / $4

Cross-multiplying, we get:

11 pounds × $4 = $2 × x pounds

Simplifying, we get:

44 = 2x

Dividing both sides by 2, we get:

x = 22

Therefore, if you exchange $4, you can get 22 pounds.

72) If 9 packages of basil cost $27, we can use a proportion to determine how many packages of basil we can buy for $9:

9 packages / $27 = x packages / $9

Cross-multiplying, we get:

9 packages × $9 = $27 × x packages

Simplifying, we get:

81 = 27x

Dividing both sides by 27, we get:

x = 3

Therefore, with $9, you can buy 3 packages of basil.

Answer:

x2-3x-33=x+4

<=> x2-3x-x-33-4=0

<=> x2-4x-37=0

<=> x=2 + square root(41) or 2- square root(41)