What is the length of this circle?

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

We are asked to determine the sequence of transformations necessary to go from figure 1 to figure 2. First, we will label all the vertices points in figure 1, like this:

Now we will apply a 90 degrees rotation counterclockwise above the origin. This transformation is done applying the following rule:

Therefore, applying the rule to the first point we get:

For the second point we get:

And for the third point we get:

Now we will plot the new figure using the point we found, we get:

Now we see that the next transformation is to translate the figure 3 units down to get figure 1. Therefore, the transformations to be made are a 90 degrees rotation counterclockwise and a translation 3 units down.

The four iterates of the function f(z) = z² + 2 + 2t are:

To find the first four iterates of the function f(z) = z² + 2 + 2t with an initial value of z0 = -1 + 2t, we will substitute the initial value into the function repeatedly.

Substitute z0 into the function:

f(z0) = (-1 + 2t)^2 + 2 + 2t

Simplify the expression:

f(z0) = 1 - 4t + 4t² + 2 + 2t

f(z0) = 4t² - 2t + 3

This is the first iterate of the function.

Substitute the first iterate into the function:

f(f(z0)) = f(4t² - 2t + 3)

Simplify the expression:

f(f(z0)) = (4t² - 2t + 3)² + 2 + 2t

f(f(z0)) = 16t⁴ - 16t² + 40t² - 12t + 14

This is the second iterate of the function.

Repeat the process for the third and fourth iterates:

f(f(f(z0))) = (16t⁴ - 16t³ + 40t² - 12t + 14)² + 2 + 2t

f(f(f(z0))) = 256t⁸ - 512t⁷ + 768t⁶ - 768t⁵ + 560t⁴ - 288t³ + 88t² - 16t + 18

and, f(f(f(f(z0)))) = (256t⁸ - 512t⁷ + 768t⁶ - 768t⁵ + 560t⁴ - 288t³ + 88t² - 16t + 18)² + 2 + 2t

f(f(f(f(z0)))) = 65536t¹⁶ - 262144t¹⁵ + 557056t¹⁴ - 787456t¹³ + 801216t¹² - 623616t¹¹ + 378752t¹⁰ - 185536t⁹ + 72432t⁸ - 21856t⁷ + 4916t⁶ - 800t⁵ + 84t⁴ - 4t³ + 2t² + 2t + 2

These are the first four iterates of the function f(z) = z² + 2 + 2t with the initial value of z0 = -1 + 2t.

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Answer:

2/8, 3/8, 4/8, 5/8, 7/8. If there are more numbers I apologize, I see 2 boxes that say "obj" instead.

Answer:

e = 16

Step-by-step explanation:

-5/6e - 2/3e = -24

-5/6e + -2/3e = -24

-3/2e = -24

e = 16

Answer:

6

Step-by-step explanation:

-15+6 means it goes minus basically its 15-6(-15+6)=-9

Answer:

n=24

Step-by-step explanation:

First add 15 to the right side equaling 24. Therefore n=24

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

0.209 x 12 is that answer but their really is no answer because i have tried about every way i can think of to get the answer so yeah sorry

Step-by-step explanation:

brainliest pls

Answer:

Step-by-step explanation:

a)  27 = 3 × 3 × 3 = 3³    Answer: 3

b)  32 = 2 × 2 × 2 × 2 × 2 = \(2^5\)     Answer: 5

c) 625 = 5 × 5 × 5 × 5 = \(5^4\)     Answer: 4

d) \(\sqrt{64} = 8 \)  ⇒  \(64^{\frac{1}{2}} \)    Answer: 1/2

e) \(\sqrt[4]{81}=3 \)  ⇒  \(81^{\frac{1}{4}} \)   Answer: 1/4

f) \(\sqrt[6]{64} =2\)  ⇒  \(64^{\frac{1}{6} }\)    Answer: 1/6

g) \((x^2)^{\frac{1}{2}}=x^1=x \)     Answer: 1/2

h)  \((x^3)^{4}=x^{12}\)    Answer: 4

i)  \((x)^8=x^8\)   Answer: 8

Answer:

Step-by-step explanation:

Prime factorize 27,32,625,

a) 27 = 3 * 3 * 3 = 3³

b) 32 = 2 * 2 * 2 * 2 *2 = 2⁵

c) 625 = 5*5*5*5 = 5⁴

\(d) \sqrt{64}= (8^{2})^{\frac{1}{2}} = 8\\\\ e) \sqrt[4]{81}=\sqrt[4]{3*3*3*3}=(3^{4})^{\frac{1}{4}} = 3\\\\ f) \sqrt[6]{64}=\sqrt[6]{2*2*2*2*2*2}=(2^{6})^{\frac{1}{6}}=2\\\\ g)\sqrt{x^{2}}=(x^{2})^{\frac{1}{2}}=x\\\\ \)

\(h) x^{12} = x^{3*4}= (x^{3})^{4}\\\\ i)x^{8}=x^{1*8}=(x^{1})^{8}\)

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of the rectangle = 33 inches sq

Area of a rectangle (formula) = l*b

let the width be x

length = 2 inches + 3x = 2+3x

Area of the rectangle = l*b = 2+3x + x

33 inches sq = 2+3x + x

33 in sq = 2+4x

33/2 = 4x

16.5/4 = x

x = 4.125

width= 4.125 inches

length = 2+3x = 2+3(4.125) = 14.375

(unless your poster is 32 sq inches and you made a mistake, just replace 33 with 32 and solve it)

The dimensions of the given rectangle are 11 in and 3 in.

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.

Given that the length of a rectangular poster is 2 more in than three times its width. The area of the poster is 33 square in.

Let the length of the rectangle be l and the width be w then,

Area = length*width

(3w+2)w = 33

3w² + 2w -33 = 0

On factorizing, we get,

w = 3 or -11/3

Considering w = 3 in because width can't be negative.

Therefore, width = 3 in

Length = 3*3+2 = 9 in

Hence, The dimensions of the given rectangle are 11 in and 3 in.

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Answer: k(x)

Step-by-step explanation: I haven’t done Alg. 1 for a while, but I’m pretty sure that k(x) is the answer... when you have a negative in the parenthese, the line moves to the right. I hope this is correct and that it helps!

Total amount paid by Donna is $16,689.6 and interest paid is $789.6.

The cash up front paid by the buyer in real estate transactions and other significant purchases is known as a down payment on a house. For a property being used as a primary residence, down payments, which are typically a percentage of the purchase price, can range from as little as 3% to as much as 20%.

According to question:

Given,

Price of car= $15,900

Down Payment=$4800

number of months=12 x 4=48 month

Monthly payment=$245.70

Total amount Donna paid = Down payment+ all monthly installment

Total amount = $4800+ 48 x 247.70 =$16,689.6

Interest Paid = $16,689.6 - $15,900 = $789.6

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Answer:

Yes

Step-by-step explanation:

They are

The profit function for a furniture company introducing a new line of lounge chairs is P(x) =\(-8.32x^2 + 1,248x - 36,400\), where x represents the number of chairs to be manufactured and sold.

The problem provides the revenue function and cost function for a furniture company introducing a new line of lounge chairs. To find the profit function, we need to subtract the cost function from the revenue function.

The revenue function R(x) is given as 1,248x - \(8.32x^2\), where x represents the number of chairs manufactured and sold. This function calculates the total revenue obtained by the company by multiplying the number of chairs sold (x) by the price of each chair (1,248 - 8.32x).

The cost function C(x) is given as 36,400 - 83.2x. This function calculates the total cost incurred by the company to manufacture x chairs, which includes both fixed and variable costs.

To find the profit function for the furniture company, we need to subtract the cost function C(x) from the revenue function R(x):

P(x) = R(x) - C(x) = (1,248x - \(8.32x^2\)) - (36,400 - 83.2x)

Simplifying this expression, we get:

P(x) =\(-8.32x^2\) + 1,248x - 36,400

Therefore, the profit function for the furniture company is P(x) = \(-8.32x^2\) \(+ 1,248x - 36,400\).

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the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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Answer:

1.6 is how much each person gets

hope this will helpful to you

Person 3's payment exceeded person 2's payment by $20.

To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.

The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.

Step 1: Calculate the total number of parts in the ratio.

1 + 2 + 3 = 6

Step 2: Determine the value of one part.

$120 (total amount) divided by 6 (total number of parts) = $20

Step 3: Calculate the payments for each person based on the ratio.

Person 1: 1 part * $20 = $20

Person 2: 2 parts * $20 = $40

Person 3: 3 parts * $20 = $60

Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:

$60 - $40 = $20

Hence, person 3 paid $20 more than person 2.

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Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]

Answer:

Width = 17 feet, Length = 22 feet

Step-by-step explanation:

Let the width, w, be x

Therefore, length, L = x + 5

Perimeter = 78

p = 2(L+b)

78 = 2(x + x+5)

Adding the variables,

78 = 2( 2x + 5)

Dividing both sides by two,

39 = 2x + 5

Subtracting two from both sides,

34 = 2x

Dividing by two on both sides,

17 = x

Therefore, the width = x = 17 feet, and the length = x + 5 = 17 + 5 = 22 feet.

Hope you understood

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Step-by-step explanation:

Corresponding angles of similar figures are congruent.

Angles with vertex of same order number are corresponding.

Answer:

m∠U =97°

m∠V = 124°

m∠T = 102°

Step-by-step explanation:

As  TUVWX ~ BCDEF  then the corresponding interior angles are the same.

Therefore:

m∠T = m∠B = 102°

m∠U = m∠C = 97°

m∠V = m∠D = 124°

m∠W = m∠E = 101°

m∠X = m∠F = 116°

The length of AC is 12.5 and the length of AD is 3.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees

Given triangle ABC,

and D is a point on AB and E is a point on AC,

and forms a triangle ADE,

and  DE is parallel to AC,

taking ΔABC and ΔBDE

∠B = ∠B  (common angle)

because DE is parallel to AC, so corresponding angles are equal,

so ∠A = ∠D

and ∠C = ∠E

ΔABC ≈ ΔBDE (triangles are similar)

since both triangles are similar the ratio of their corresponding sides is equal,

AB/BD = AC/DE = BC/BE

given BD = 2, BE = 4, DE = 5 and EC = 6

BC = EC + BE = 4 + 6

BC = 10

AC/DE = BC/BE

AC = 5(10/4)

AC = 12.5

and AB/BD = BC/BE

AB = 2(10/4)

AB = 5

AD = AB - BD

AD = 5 - 2

AD = 3

Hence AC = 12.5 and AD = 3.

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The figure is in image.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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For the given number 4 x 5³/₈. The whole part is 4 and the fraction part is 5³/₈. Both are added together to form a fraction of 43/8.

An inappropriate fraction can be created by converting a mixed fraction. Follow the instructions below to accomplish that.

For the given number 4 x 5³/₈.

The whole part is 4.

The fraction part is 5³/₈.

Solving the mixed fraction:

= 5³/₈.

= (5*8 + 3) /8

Both are added together to form a fraction:

= 43/8

The final number becomes:

= 4 x 5³/₈

= 4 x 43/8

= 43/2

Thus, the result of the final number obtained is 43/2.

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The roots are those values that make a function or polynomial take a zero value. The roots are also the intersection points with the x-axis. In the case of a quadratic equation you can use the quadratic formula to find its roots:

So, in this case, you have

As you can see, this function only has one root, at x = 3.

You can see this in the graph of the function:

The empirical probability that a speeding ticket will be issued in San Marcos is 5/8, or 5 out of 8.

The number of speeding tickets can be divided by the total number of tickets issued.

25 speeding citations were issued.

40 total tickets are available.

Empirical probability of a speeding ticket = Number of speeding tickets / Total number of tickets

Empirical probability of a speeding ticket = 25 / 40

Simplifying this fraction, we get

Empirical probability of a speeding ticket = 5/8

Therefore, the empirical probability that a speeding ticket will be issued in San Marcos is 5/8, or 5 out of 8.

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Answer:

x is neg and y is positive so the answer is x < 0 and y > 0