The circumference of a circular garden is 141 feet. What is the radius of the garden?
Round your answer to the nearest hundredth.

Therefore , the solution of the given problem of function comes out to be  f(x) = 2871 thousands.

A science called mathematics studies numbers, its variations, arithmetic and the local tissue, shapes, and both their existing and projected places. The relationship between a group of inputs, which each have a corresponding output, is described by a function. A function is a collection of inputs that together produce a single, recognizable output with each input. A city, municipality, or scope—often referred to as a realm—is assigned to each function. Usually, the letter f is used to represent functions (x). The input has an x in it.

Here,

Given :

=>  f(x) = 225(1.29)×

After 10 year number of years x =10

=> f(x) = 225(1.29)¹⁰

=> f(x) = 12.76 * 225

=>  f(x) = 2871 thousands.

Therefore , the solution of the given problem of function comes out to be  f(x) = 2871 thousands.

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The set of ordered pairs represents the function.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

The set of ordered pairs:

(7,9), (4,18), (−3,11), (16,18), (4,−11)

Pairs written as input and output of the relation.

In the attached table,

To prove function:

A relation has an input value which corresponds to an output value. When each input value has one and only one output value, that relation is a function.

And here each input is connected to precisely one output.

Therefore, this is a function.

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Answer:

1 = 26

2 = 154

3 = 26

4 = 26

5 = 154

6 = 154

7 = 26

Step-by-step explanation:

After simplifying each expression, we get (2+5a - 10 b), (8a² - 15ca +2c),

(11- 2a+b) and (a+ b) respectively.

The word simplify means to write an expression, equation or problems

in the simplest form so as to easy to evaluate it. we simplify an expression by removing the parenthesis and collecting like terms.

exercise 1.

given, A = 7 - 4a + 7a - 3b -5 -7b +2a

We collect the like term and get

A= 7 - 5 -4a +7a +2a -3b- 7b

A = 2 + 5a -10b

next, given B = 4a × 2a -5c - c +8c -3c × 5a

             B = 8a² -6c +8c - 15ca

        B = 8a² -15ca +2c

exercise 2.

given, A = 7 + [(2- a) -( 2+a) +9] + (b-5)

at first, we remove the parenthesis and get

A= 7 + [2-a - 2 -a+ 9] +b- 5

A = 7 + 9- 2a +b- 5

after collecting the like term

A = 11- 2a + b

given, B = 15 - [(7-b) - 9- (a-17)]

  B = 15 - [7- b- 9 - a+17]

 B = 15 - [15 - b -a]

after removing the parenthesis

B = b +a

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Answer:

-18a^3b^5

Step-by-step explanation:

First do -ab^2*-6ab^2=-6a^2b^4

Then multiply that by 3ab=-18a^3b^5

Answer:

it would be 2x^2 +4x+8=0

Answer:

x=3

Step-by-step explanation:

Why? well this is simple. Just subtitute x-1  into y in the equation above.

Answer:

Step-by-step explanation:

Area of rectangle:

Answer:

284 ²/₃ square yards

Step-by-step explanation:

Area of a rectangle

Area = length × width

Given:

Substitute the given values into the formula and solve for area:

[tex]\begin{aligned}\sf Area & = \left(30+\dfrac{1}{2}\right) \times \left(9+\dfrac{1}{3}\right)\\\\ & = \dfrac{30 \times2+1}{2} \times \dfrac{9 \times 3+1}{3}\\\\ & = \dfrac{61}{2} \times \dfrac{28}{3}\\\\& = \dfrac{61 \times 28}{2 \times 3}\\\\ & = \dfrac{1708}{6}\\\\ & = \dfrac{1704+4}{6}\\\\ & = \dfrac{1704}{6}+\dfrac{4}{6}\\\\ & =284\: \frac{2}{3}\:\:\sf square\:yards\end{aligned}[/tex]

Therefore, the area covered by the tent is 284 ²/₃ square yards.

Answer:

b=-1

Step-by-step explanation:

you need to make sure that you can add 7 and have the answer be 4cm because, and if you subtract 4 from 7 you get 3 so the should add onto a -3 and the only way to turn the 3 into -3 is to multiply the 3 by -1

[tex]x = 140°[/tex]

hope it helps UwU

Answer:

X = 140 degrees

Step-by-step explanation:

Those lines and angles look identical, so I'll just assume they are

40 degrees on one side should be the same on the other side (if identical). So that means we can just subtract 40 from 180 (because 180 is equal to a flat line), so the answer would be 180-40 =140 degrees

Answer:

∠ B ≈ 53°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan B = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{4}{3}[/tex] , then

∠ B = [tex]tan^{-1}[/tex] ([tex]\frac{4}{3}[/tex] ) ≈ 53° ( to the nearest degree )

Answer:

[tex]x + 3x = 52 \\ 4x = 52 \\ x = 13 \\ y = 3x = 3 \times 13 = 39[/tex]

Answer:

15 buttholes

Step-by-step explanation:

the first one is A  

the second one is D

none of the above - correct answer is root 133. there has to be a typo I think. if they force you to choose do C. -i give the props to the other guy who answerd this question

Answer:

4 prisms fit inside that one cube

Answer:

He is not

In school B, the angle representing the sector of students that like tigers is 90 degrees while in school A, the angle representing the sector of students that like tigers is larger than 90 degrees. this is determined by perusing the images visually.

Step-by-step explanation:

Please find the complete question in the attached image

Pie chart is a graph used to represent numeric information. the sum of angles in a pie chart equals 360 degrees. the pie chart is usually separated into sectors to represent numeric information

the angle representing the students that like tigers in school A = 0.5 x (360 - 60) = 150 degree

Answer:

0

Step-by-step explanation:

The slope is 0 because there is no rise over run.

The 3 lengths that can be combined to form a right triangle will be 8, 15, and 17. Then the correct option is D.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The Pythagoras theorem formula is given as

H² = P² + B²

If the Pythagoras theorem is satisfied then the dimension is the dimension of the right triangle.

Let's check option D, then we have

17² = 8² + 15²

289 = 64 + 225

289 = 289

The 3 lengths that can be combined to form a right triangle will be 8, 15, and 17. Then the correct option is D.

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Answer: ∠z=48°

Vertical angles are always congruent, and because 87 and z are adjacent angles, but equal 135, the equation would be 87+z=135. Subtract 87 on both sides to get z=48.

Answer: 1/4 pound (lb) is equal to 4 ounces (oz).

This is because there are 16 ounces in one pound, so you can divide a pound into 16 equal parts, and each part is one ounce. Similarly, you can divide a pound into 4 equal parts , and each part is 1/4 pound. So in order to convert 1/4 pound to ounces, you can multiply 1/4 by 16.

1/4 lb * 16 oz/lb = 4 oz

When converting units, you are essentially multiplying or dividing by a conversion factor. In this case, the conversion factor is 16 oz/lb which tells you that there are 16 ounces in one pound. This factor allows you to convert between pounds and ounces by multiplying or dividing by it.

It's important to pay attention to the units in the conversion factor when using them. Here, the numerator and denominator of the conversion factor have the same unit, but it's not always the case. And the conversion factor helps to cancel out the unwanted unit and yield the desired unit in the end.

Step-by-step explanation:

To determine the basic fortnight for the operator, we need to divide the operator's earnings by their basic rate of pay.

$671.25 ÷ $8.95 = 75.05

The basic fortnight for an operator is the number of fortnights the operator has worked at their basic rate of pay. In this case, the operator has earned $671.25 at a basic rate of $8.95 per fortnight. To determine the basic fortnight, we need to divide the operator's total earnings by their basic rate of pay.

$671.25 ÷ $8.95 = 75.05

So, the operator has worked 75.05 basic fortnights. It means he has been working for 75.05*14=1053 days. This is the number of days the operator has worked at their basic rate of pay. It is important to note that this calculation assumes that the operator has not earned any overtime pay or other bonuses.

$671.25 ÷ $8.95 = 75.05

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Answer:

=

Step-by-step explanation:

Equal too, you are finding the absolute value of both of them which means getting rid of any signs that is attached to them. 60 = 60

Answer:

|60| = |-60|

Step-by-step explanation:

| | means absolute value

The absolute value of any number is that number but in its positive form

So the absolute value of 60 is 60

The absolute value of -60 is positive 60

60 is equal to 60 therefore |60| = |-60|

The dy for the given values of x and dx is dy = 0.5632, and their difference to the nearest thousandth is 0.0005.

The difference between dy and Δy can be determined by subtracting dy from Δy and taking the absolute value. In this case, dy approximates Δy to the nearest thousandth with a difference of 0.0005. This is a very small difference, indicating that dy is an accurate approximation for Δy.

The accuracy of dy can be attributed to the fact that the function f(x) = ln(1 + x^2) is a smooth function, meaning that the rate of change at a point (i.e., the derivative) is nearly constant. This allows dy to accurately approximate the change in y, Δy, over a small interval of x. Furthermore, the choice of dx = 0.2 is a small enough value that it does not significantly affect the accuracy of the approximation.

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Answer:

Answer below!

Step-by-step explanation:

since y = -3x + 1, you can just plug those numbers in on the first equation.

6x + 2(-3x+1) = 2 (see how I replaced y into -3x + 1)

then distribute 2.

6x - 6x + 2 = 2, subtract 2 to both sides

6x - 6x = 0, combine x

0 = 0 (this means it has an infinite amount of solutions)

Answer:

1) (B) 25/18 ft³

2) (C) 1/216 ft³

Step-by-step explanation:

1) 1 2/3 x 5/6 x 1 = 5/3 x 5/6 x 1 = 25/18 ft³

2) 1/6 x 1/6 x 1/6 = 1/216 ft³

Answer:

Depending of the figure that you are trying to find perimeter on, you just add up all the sides of that figure.

Answer:

The perimeter is the distance around a figure.

Step-by-step explanation:

For example, if I have a square where each side is 5 inches.  The perimeter would be 20 inches.  5 + 5+ 5 + 5, a square has four sides and each side length is 5 inches.

The number of seeds that Frank will plant, expressed in algebraic form, exists 3n + 9.

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.).

Given that n and (2n + 9) are the seeds that Frank will plant in various gardens, the total number of seeds that Frank will plant can be represented algebraically by combining the two formulas.

Like terms with the same variables are added together.

Let the equation be n + 2n + 9

simplifying the above equation, we get

3n + 9

Therefore, the number of seeds that Frank will plant, expressed in algebraic form, exists 3n + 9.

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The number of seeds that Frank will plant, expressed in algebraic form, exists 3n + 9.

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.).

Given that n and (2n + 9) are the seeds that Frank will plant in various gardens, the total number of seeds that Frank will plant can be represented algebraically by combining the two formulas.

Like terms with the same variables are added together.

Let the equation be n + 2n + 9

simplifying the above equation, we get

3n + 9

Therefore, the number of seeds that Frank will plant, expressed in algebraic form, exists 3n + 9.

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Audrey and Billy are as far as 367 meters apart.

The displacement of an object is its distance covered or moved in a specific direction. Displacement is an example of vector quantity.

A vector quantity is generally any type of quantity which can be expressed in magnitude and direction. Some examples include: weight, displacement, acceleration, force, etc.

Since Audrey walked 285 meters west and Billy walked 213 meters south from the same starting location, then we can determined the distance far apart by applying the Pythagorean theorem.

So that,

/hyp/^2 = /opp/^2 + /adj/^2

Let their distance apart be represented by s,

s^2 = 231^2 + 285^2

      = 53561 + 81225

s  = (134586)^1/2

s = 366.86

Audrey and Billy are as far as 367 meters apart.

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