Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played. Determine the number of games Sydney played and the number of rides Sydney went on

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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Answer:

Range is 15

Step-by-step explanation:

1. Organize from least to graetest:

29, 32, 33, 33, 36, 37, 38, 40, 44

2. Find the largest and the smallest numer:

29 and 44

3. Subtract:

44

-29

=15

Answer:

its 15

Step-by-step explanation:

i just need da points

According to the concept of single trigonometric ratio, the value of  (2tan(10°))/(1 - tan²10°) is tan 20°

Trigonometric Ratios

In math, the ratios of sides of a right angled triangle that can be used to determine the value of angles and sides are called Trigonometric Ratios.

Given,

Here we have the expression (2tan(10°))/(1 - tan²10°)

Now, we have to find the single trigonometric ratio.

We know that the property of Tan 2x is written as,

=> tan 2x = 2tanx /(1 - tan² x)

According to this formula, we can get  the value of x as 10 degrees.

So, the single trigonometric ratio of

=> (2tan(10 degrees))/(1 - tan² (10 degrees))

=> tan 2x

=> tan 20 degree

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Answer: yes tan(20°) option 4

Step-by-step explanation:

Proxima Centauri, the nearest star to Earth, is approximately 24.9 trillion miles away. This distance is calculated using the speed of light and the time it takes for light to travel from Earth to Proxima Centauri.

To calculate the distance between Earth and Proxima Centauri, we can use the formula: distance = speed x time. In this case, the speed of light is 186,000 miles per second and the travel time is 4.2 years. First, we need to convert the travel time into seconds.

There are 31,536,000 seconds in a year (60 seconds x 60 minutes x 24 hours x 365 days).

Therefore, 4.2 years is equivalent to 132,451,200 seconds (4.2 years x 31,536,000 seconds/year). Now, we can plug these values into the formula: distance = 186,000 miles/second x 132,451,200 seconds.

This calculation results in a distance of approximately 24.9 trillion miles (24,900,000,000,000 miles).

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The first function is continuous everywhere in the complex plane. The second function is continuous everywhere except at z=0. The third function is continuous everywhere except at z=-2 and z=1.

The function z⁴ - 9z² + iz -2 is continuous everywhere in the complex plane.

The function z + 1/z² + 1 is continuous everywhere in the complex plane except at z = 0.

The function z² + 6x + 5/z² + 3z + 2 is continuous everywhere in the complex plane except at z = -2 and z = -1/3.

The function z⁴ + 1/Z² + 2z + 2 is continuous everywhere in the complex plane except at z = 0.

The function x + iy/x - 1 is continuous on the complex plane excluding the negative x-axis.

The function x + iy/|z| - 1 is continuous everywhere in the complex plane except at z = 0.

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Complete question is in the image attached below

Answer:

Mariana takes the two pills together after 18 hours.

Step-by-step explanation:

Mariana must take two pills; one every 6 hours and another every 9 hours.

She take two pills together. Let she takes the two pills together after t hours at the time when she take initially.

To find the time to take the two pills together, take the least common multiple of 6 and 9.

6 = 2 x 3

9 = 3 x 3

So, the least common multiple is 2 x 3 x 3 = 18

So, she takes the two pills together after 18 hours.

The length of AD is 8.58 units

Here triangle CDE and triangle CAB are similar triangles.

We know that the corresponding sides of similar triangles are in proportion.

CD/CA = CE / CB = DE/AB

Consider, CD/CA = DE/AB

15/(15 + x) = 7/11

15 * 11 = 7 * (15 + x)

165 = 105 + 7x

7x = 165 - 105

7x = 60

x = 8.58 units

Therefore, the length of AD is 8.58 units

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Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

We can proceed with finding a 99% confidence interval for the percentage of all students at this particular college who are left-handed because Np=472.23, which is greater than 10, and N(1-p)=3833.77, which is also greater than 10.

There are two conditions that we need to check before proceeding with finding an interval:
1. Np>10
2. N(1-p)>10

For calculating the confidence interval for the percentage of all students at a particular college who are left-handed, we need to check two conditions:
1. The sample size (n) should be large enough. Since the sample size is greater than 30, we can use the normal distribution for calculation.
2. We need to check the proportion of the population who are left-handed. In this case, the proportion of left-handed students in the sample is 19/150=0.1267.

Therefore, we can use the normal distribution to calculate the confidence interval only if the following two conditions are met:
1. Np>10, where n is the sample size and p is the proportion of the population who are left-handed. In this case, Np=4293*0.11=472.23, which is greater than 10.
2. N(1-p)>10. In this case, N(1-p)=4293*(1-0.11)=3833.77, which is greater than 10.

Therefore, we can proceed with finding a 99% confidence interval for the percentage of all students at this particular college who are left-handed.

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The person's approximate height can be determined by using a similar triangle and the properties of shadows.

When a person stands in the sunlight, they cast a shadow on the ground. The length of the shadow depends on various factors such as the height of the person and the angle of the sun's rays. In this scenario, we have a person standing seven feet away from a building with a light mounted on it, and the light is ten feet from the ground. By understanding the relationship between the person's distance from the light and the length of their shadow, we can estimate the person's approximate height.

To solve this problem, we can make use of similar triangles and proportions. Let's consider the triangles formed by the person, their shadow, and the building.

We have two similar right triangles:

Triangle 1: The person's height (let's call it "h") is the vertical side, and the length of their shadow is the horizontal side.

Triangle 2: The height of the building (10 ft) is the vertical side, and the distance between the person and the building (7 ft) plus the length of their shadow is the horizontal side.

Since the two triangles are similar, their corresponding sides are proportional. We can set up the following proportion:

(h / shadow length) = (10 ft / (7 ft + shadow length))

Cross-multiplying and simplifying the equation, we get:

h * (7 ft + shadow length) = 10 ft * shadow length

Expanding the equation, we have:

7h ft + h * shadow length = 10 * shadow length ft

Rearranging the equation to isolate the shadow length, we get:

h * shadow length - 10 * shadow length = -7h ft

Factoring out the shadow length, we have:

shadow length * (h - 10) = -7h ft

Dividing both sides by (h - 10), we obtain:

shadow length = (-7h) / (h - 10) ft

Given that the person's shadow length is six feet, we can substitute this value into the equation:

6 ft = (-7h) / (h - 10) ft

Now, we can solve for the person's height (h):

6 ft * (h - 10) ft = -7h ft

6h - 60 = -7h

Combining like terms, we get:

13h = 60

Dividing both sides by 13, we find:

h = 60 / 13 ≈ 4.62 ft

Therefore, the person's approximate height is around 4.62 feet.

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Answer:

y = 72

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 12 when x = 4 and z = 3

12 = k × 4 × 3 = 12k ( divide both sides by 12 )

1 = k

y = xz ← equation of variation

When x = 9 and z = 8 , then

y = 9 × 8 = 72

The polynomial with the given degree and zeros is:

y = 2*(x + 1)²*(x + 4)

A polynomial of degree N with the zeros {x₁, x₂, ...} and a leading coefficient a can be written as:

y = a*(x - x₁)*(x - x₂)*...*(x - xₙ)

Here we know that the degree is 3, and the zeros are {-1, -4, -1}

Then we can write the polynomial as:

y = a*(x + 1)*(x + 4)*(x + 1)

y = a*(x + 1)²*(x + 4)

We also know that the polynomial passes through (0, 8), replacing these values we will get:

8 = a*(0 + 1)²^*(0 + 4)

8 = a*1*4

8/4 = a

2 = a

The polynomial is:

y = 2*(x + 1)²*(x + 4)

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The expression for the above statement =  (7x + 5)/(- 2x + 11)

The correct option is C.

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout nearly all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

let a number be x

Consequently, the result of seven times a number plus five is

7x + 5

Moreover, add the negative sums of two times the number and eleven.

- 2x + 11

Now, you can write the sentence "the total of seven times a number and five, divided by the sum of negative two times the number and eleven" as

(7x + 5)/(- 2x + 11)

The expression for the above statement =  (7x + 5)/(- 2x + 11)

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I understand that the question you are looking for is :

Write the expression "the sum of seven times a number and five, divided by the sum of negative two times the number and eleven" using algebra. choose the correct phrase below.

A. (–2x + 11) ÷ (7x + 5)

B. (–2x + 11) (7x + 5)

C. (7x + 5) (–2x + 11)

D. (7x + 5) ÷ (–2x + 11)

Answer:

the answer is (7x+5)/(-2x+11)

Step-by-step explanation:

the other answer is correct

The correct answer is B. created in an iterative and incremental manner.

Unlike traditional Work Breakdown Structures (WBS), evolutionary WBSs are developed in an iterative and incremental manner. This means that they are built and refined over time as the project progresses, allowing for adjustments and additions to be made as new information becomes available. The evolutionary WBS is not organized in a standard manner across all projects (A) and it is not specifically designed for comparison to past projects (C). Therefore, the answer is B. created in an iterative and incremental manner.

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Mendel know as Father of genetics

he worked on pea plant for seven years and give two laws

law of independent assortment and law of dominance

Answer:

Step-by-step explanation:

A1=BH

=15mm×7mm

=300mm2

A2=BH

=15mm×5mm

=75mm2

A3=BH

=8mm×5mm

=40mm2

A1+A2+A3=Atotal

300mm2+75mm2+40mm2=Atotal

415mm2=Atotal

Answer:

\(B=4^{3} feet\)

Step-by-step explanation:

The altitude of B = 16A and we now that A = 4 feet.

Finally B will be:

\(B=4^{2}*4=4^{3} feet\)

I hope it helps you!

\(\sqrt{4^{2}+7^{2}}=\sqrt{16+49}=\boxed{\sqrt{65}}\)

Answer:

26 feet, Oliver will have to travel 26 feet deep.

Step-by-step explanation:

8 feet added to 18 feet will be your answer.

Answer:26 feet, Oliver will have to travel 26 feet deep.

Step-by-step explanation:Okay so if you draw a line graph going vertical and you number it 1-32 ( this is if you have to show work ) a is a 11 feet deeper and b is 23 feet deeper

Answer:

Answer:

55%

Step-by-step explanation:

To find the percent discount

Take the original price and subtract the new price

75-33.75 =41.25

Divide this by the original price

41.25/75

.55

Multiply by 100

55%

This is the percent decrease

Answer: The discount is 55%

Step-by-step explanation:

75-33.75=41.25

41.25/75=.55

Answer:

Step-by-step explanation:

B

Answer:

10y - 70z + 10.

Step-by-step explanation:

10(y-7z+1)    Multiply each term in the brackets by 10:

= 10y - 70z + 10

The expression that represents the area of the parking lot is (5 - 7) * (3 + 4).

The length of the parking lot can be represented as (5 - 7), which simplifies to -2. The width of the parking lot can be represented as (3 + 4), which simplifies to 7. To find the area of a rectangle, we multiply the length by the width.

Therefore, the expression that represents the area of the parking lot is (-2) * 7. Multiplying -2 by 7 gives us -14. So, the area of the parking lot is -14 square units.

However, it is important to note that negative areas do not have practical meaning in this context, as areas are typically positive values. Therefore, the area of the parking lot would be considered 14 square units.

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Minimization of  f(x) = |x+3| + x^3 at the endpoints (-2 and 6)  the minimum value of the function is approximately 3.84, which occurs at x= \sqrt{1/3}

within the given interval.

To minimize the function subject to the constraint f(x) = |x+3| + x^3 that x lies in the interval [-2, 6], we need to find the value of x that minimizes f(x) within that interval.

First, let's analyze the function f(x). The absolute value term |x+3| can be rewritten as:

|x+3| =

x+3 if x+3 >= 0

-(x+3) if x+3 < 0

Since the interval [-2, 6] includes both positive and negative values of x+3, we need to consider both cases.

Case 1: x+3 >= 0

In this case, f(x) = (x+3) + x^3 = 2x + x^3 + 3

Case 2: x+3 < 0

In this case, f(x) = -(x+3) + x^3 = -2x + x^3 - 3

Now, we can find the minimum of f(x) within the given interval by evaluating the function at the endpoints (-2 and 6) and at any critical points within the interval.

Calculating the values of f(x) at x = -2, 6, and the critical points, we can determine the minimum value of f(x) and the corresponding value of x.

Since the equation involves both absolute value and a cubic term, it is not possible to find a closed-form solution or an exact minimum value without numerical methods or approximation techniques.

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Answer:

-1/36

Step-by-step explanation:

18=-1/(2k)

2k=-1/18

k=(-1/18)/2

k=(-1/18)(1/2)

k=-1/36

The algebraic expression for the coordinates of each endpoint of a line segment whose midpoint is the origin is Endpoint 1: (-x₂, -y₂) and Endpoint 2: (x₂, y₂). The values of x₂ and y₂ determine the specific coordinates of the endpoints.

To determine the algebraic expression for the coordinates of each endpoint of a line segment whose midpoint is the origin, we can use the midpoint formula. Let's denote the coordinates of the endpoints as (x₁, y₁) and (x₂, y₂).

Since the midpoint is the origin, the coordinates of the midpoint are (0, 0). According to the midpoint formula, the coordinates of the midpoint are the average of the coordinates of the endpoints:

x₁ + x₂ = 2 * 0 = 0

y₁ + y₂ = 2 * 0 = 0

Simplifying these equations, we get:

x₁ + x₂ = 0

y₁ + y₂ = 0

We have two variables and two equations, so we can solve this system of equations to express one variable in terms of the other.

Solving for x₁, we get:

x₁ = -x₂

Solving for y₁, we get:

y₁ = -y₂

Therefore, the algebraic expression for the coordinates of each endpoint is:

Endpoint 1: (-x₂, -y₂)

Endpoint 2: (x₂, y₂)

The coordinates of the endpoints depend on the value of x₂ and y₂, which can be any real numbers.

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