Admission to Overjoy Amusement Park is $20 $ 20 per visit. However, with a season pass, which costs $40 $ 40 , each admission is $12 $ 12 . Complete the table and write a system of equations to represent the admission costs, where a is the number of admissions and c is the total cost. CLEAR CHECK Complete the table. Cost of Admission($ $ ) Number of Admissions Amount Spent on Season Pass($ $ ) Total Cost With season pass a c Without season pass a c Write a system of equations to represent this problem. With a season pass: Without a season pass:

The magnitude of the car's acceleration after the brakes are applied is:

a = 2 × (d - vo × treact) / treact^2

Initially, the car is traveling at a constant velocity of magnitude vo, so its acceleration is zero. When the driver notices the garbage can, the car has a distance d from the can.

After the driver applies the brakes, the car slows down at a constant rate until it comes to a stop just before the garbage can. Let a be the magnitude of the car's acceleration during this period.

The distance traveled by the car during this time can be expressed as the sum of two distances: the distance traveled while decelerating from vo to zero velocity, and the distance traveled while the car is at rest.

The distance traveled while decelerating can be calculated using the equation:

d = (vo × treact) + (1/2 × a × treact^2)

The distance traveled while the car is at rest is zero, since the car is not moving.

Setting d equal to the initial distance between the car and the garbage can (d = d), and solving for a, we get:

a = 2 × (d - vo × treact) / treact^2

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The given question is incomplete, the complete question is:

A car is traveling at a constant velocity of magnitude vo when the driver notices a garbage can on the road in front of him. At that moment, the distance between the garbage can and the front of the car is d. A time treact after noticing the garbage can, the driver applies the brakes and slows down at a constant rate before coming to a halt just before the garbage can. What is the magnitude of the car's acceleration after the brakes are applied?

The integral of sec(x) is ln |sec(x) + tan(x)| + C.

The integral of sec(x) is:

∫sec(x) dx = ln |sec(x) + tan(x)| + C

where C is the constant of integration.

To solve this integral, you can use the method of substitution. Let u = sec(x) + tan(x). Then [tex]du/dx = sec(x)tan(x) + sec^2(x)[/tex], which can be simplified to du/dx = u tan(x). Rearranging, we get du/u = tan(x)dx.

Substituting these expressions into the integral, we have:

∫sec(x) dx = ∫(sec(x) + tan(x))/(sec(x) + tan(x)) dx = ∫(1/u) du

Integrating this expression gives:

∫(1/u) du = ln |u| + C = ln |sec(x) + tan(x)| + C

Therefore, the integral of sec(x) is ln |sec(x) + tan(x)| + C.

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The two compositions evaluated in x = -2 are:

(r o q)(-2) = 6

(q o r)(-2) = -25

Here we know the functions:

q(x)=  -3x - 1

r(x) = 2x - 4

And we want to find the two compositions in x = -2

First:

(r o q)(-2) = r( q(-2))

First, evaluating q(x) in -2

q(-2) = -3*-2 - 1= 6 - 1 = 5

Then:

r( q(-2)) = r(5) = 2*5 - 4 = 6

(r o q)(-2) = 6

The second one is:

(q o r)(-2) = q(r(-2))

Evaluating r in -2 we get:

r(-2) = 2*-2 - 4 = -4 - 4 = -8

Then:

q(r(-2)) = q(-8) = -3*8 - 1 = -25

(q o r)(-2) = -25

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Binary to text conversion is the process of translating binary code, which is a series of 0s and 1s, into human-readable text. This process is necessary because computers use binary code to represent data, while humans use text.

To convert binary code to text, the binary code is first grouped into 8-bit groups called bytes. Each byte can represent a single character in the ASCII (American Standard Code for Information Interchange) character set, which includes letters, numbers, punctuation, and other symbols.

The binary code in each byte is then converted into its decimal equivalent, and the decimal value is looked up in the ASCII table to determine the corresponding character. This process is repeated for each byte in the binary code to produce the final text output.

Overall, binary to text conversion is an important process that allows humans to read and interpret data that is represented in binary code by computers.

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Thus, only 6.25 grammes of the initial 200 grammes of Co-60 will be present after 26.3 years.

Any time energy is moved, radiation is created. A substance does not need to be radioactive in order to emit radioactivity. Radiation is not always released by element compounds. Alpha particles, light, and heat are all instances of radiation.

To solve this problem, we can use the exponential decay formula:

N = N0 * (1/2)^(t/T)

where:

N is the amount of Co-60 remaining after a time t

N0 is the initial amount of Co-60

t is the time elapsed since the initial measurement

T is the half-life of Co-60

We are given N0 = 200 g, T = 5.26 years, and t = 26.3 years. We can plug in these values to get:

N = 200 * (1/2)^(26.3/5.26)

Simplifying the exponent, we get:

N = 200 * (1/2)⁵

Evaluating the exponent, we get:

N = 200 * 1/32

N = 6.25

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The correct question is:

the half-life of colbalt-60 (used in radiation therapy) is 5.26 years (actual data). How much a of 200 g sample of colbalt-60 will remain after 26.3 years?

George's average score is given as follows:

70.7%.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

The seven observations for this problem are given as follows:

76, 58, 90, 44, 81, 73, 73.

The sum of these seven observations is of:

76 + 58 + 90 + 44 + 81 + 73 + 73 = 495.

Hence the mean, representing the average score, is obtained as follows:

495/7 = 70.7%.

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Answer:

3/4

Step-by-step explanation:

Answer:

The slope is [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

We are given two points (2,5) and (-2,2). If we need to find the slope, there are two methods which we can use to find the slope.

Method 1: Count the slope

We can use [tex]\frac{rise}{run}[/tex] to count the slope.

Counting the slope, we get [tex]\frac{3}{4}[/tex] which cannot be simplified.

Method 2: Slope formula

We can use the formula [tex]\frac{y2-y1}{x2-x1}[/tex] to find the slope as well.

We just have to plug in our coordinates into the formula to get the answer.

[tex]\frac{2-5}{-2-2}[/tex]

Evaluate

[tex]\frac{-3}{-4}=\frac{3}{4}[/tex]

The value of x in the quadrilateral is 8 .

The diagram above is a quadrilateral because it has fur sides. The opposite side of the diagram is equal to each other.

Therefore, let's establish the relationship base on the congruent sides.

The value of x can be found as follows:

5x + 6 = 7x - 10

subtract 7x from both sides of the equation

5x - 7x + 6 = 7x - 7x - 10

-2x + 6 = - 10

subtract 6 from both sides of the equations

-2x + 6 = - 10

-2x + 6 - 6 = - 10 - 6

-2x = -16

divide both sides by -2

-2x / -2 = -16 / -2

x = 8

Therefore,

x = 8

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Answer: the amount of polonium remaining in the sample 1104 days later is approximately 0.12 g, and the answer is C

Step-by-step explanation:

To determine how many half-lives of polonium-210 occur in 1104 days, we can divide 1104 by the half-life of 138 days:

1104 / 138 ≈ 8

Therefore, there are approximately 8 half-lives of polonium-210 in 1104 days.

To determine how much polonium is in the sample 1104 days later, we can use the fact that the amount of polonium remaining after n half-lives is given by:

Amount remaining = initial amount × (1/2)^n

where n is the number of half-lives that have occurred.

In this case, we know the initial amount is 30 g and the number of half-lives is 8. So we can calculate the amount of polonium remaining as:

Amount remaining = 30 g × (1/2)^8 ≈ 0.117 g ≈ 0.12 g (rounded to two decimal places)

Therefore, the amount of polonium remaining in the sample 1104 days later is approximately 0.12 g, and the answer is C.

The cost will be $504.00 to buy enough carpet for Zach's living room.

To determine the cost of the carpet for Zach's living room, we first need to calculate the area of the room. The area of a rectangle is found by multiplying the length by the width. In this case, the length is 9 yards and the width is 8 yards:

Area = 9 yards × 8 yards = 72 square yards

Now that we know the area of the room, we can calculate the cost of the carpet. The carpet costs $7.00 per square yard, so we multiply the area of the room by the cost per square yard:

Cost = 72 square yards × $7.00 per square yard = $504.00

Therefore, it will cost $504.00 to buy enough carpet for Zach's living room.

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Let's represent the area of the lawn with "x" (in square meters).

Maria charged $135 plus $9.55 per square meter, so her total earnings can be expressed as:

Total earnings = $135 + $9.55 x

We know that Maria was paid $1854, so we can set up an equation and solve for x:

$1854 = $135 + $9.55 x

Subtracting $135 from both sides:

$1719 = $9.55 x

Dividing both sides by $9.55:

x = 180

Therefore, the area of the lawn is 180 square meters.

Answer:1 l = 2.2 lb wt.

Step-by-step explanation:

The solutions to the equation f(x) = g(x) to the nearest hundredth are:  x = -8.85, -5.1 and x = 0.6

To find the solutions to the equation f(x) = g(x), we need to solve for x such that:

0.15x³ + 2x² + 7x - 3.3 = 1.5x - 7.3

We can simplify this equation by bringing all the terms to one side:

0.15x³ + 2x² + 5.5x - 4 = 0

To find the solutions to the nearest hundredth, we can use a graphing calculator or software to graph the functions f(x) and g(x) and find their points of intersection.

Using a graphing calculator , we can plot the two functions and find that they intersect at two points;

approximately x = -8.85, -5.1 and x = 0.6

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In the case of converting 3cm to mm, we find that there are 30mm in 3cm.

Understanding how to convert measurements is a fundamental skill that will serve you well in many areas of study. In this case, we'll focus on how to convert 3cm to mm.

First, it's important to understand that cm and mm are both units of measurement for length or distance. The abbreviation cm stands for centimeters, while mm stands for millimeters. A centimeter is larger than a millimeter, with 1cm equaling 10mm.

To convert 3cm to mm, we need to use this relationship between the two units of measurement. We know that 1cm is equal to 10mm, so we can use multiplication to find out how many millimeters are in 3cm.

We can start by writing out the equation:

3cm x 10mm/1cm

In this equation, we're multiplying 3cm by the conversion factor of 10mm/1cm. This conversion factor tells us that there are 10mm in 1cm. When we multiply 3cm by this conversion factor, we get:

3cm x 10mm/1cm = 30mm

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The measure of angle A to the neasrest degree is 46°.

Th figure in the image is a right triangle.

To solve for angle A, we use trigonometric ratio

Cosine = adjacent / hypotenuse

Plug in the values and solve for A.

cosA = 7.8/11.2

Take the cos inverse

A = cos⁻¹( 7.8/11.2 )

A = 46°

Therefore, angle A is 46 degrees.

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Data can be divided on the basis of qualitative nature into two types as follows:

Thus, it is clear that nominal data can not be ranked or ordered but ordinal data are the type of qualitative data that are categorised and then ranked or ordered.

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A rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero.

A normal number is a number that can be communicated as the proportion of two whole numbers, where the denominator isn't equivalent to nothing. This implies that a normal number can be written in the structure p/q, where p and q are numbers and q isn't equivalent to nothing.

For instance, 3/4, 7/2, and - 5/6 are instances of normal numbers. Be that as it may, numbers like pi (π) and the square foundation of 2 (√2) are not objective, since they can't be communicated as a proportion of two numbers.

Normal numbers are significant in math, as they structure a subset of the genuine numbers and can be utilized to address amounts in a wide range of settings, like portions, proportions, and probabilities. They are additionally utilized broadly in polynomial math, where they structure the reason for tackling conditions and controlling articulations.

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Answer:

3x13=39

Step-by-step explanation:

ellie=13

kid 1=13

kid 2 =13

Answer:

r = 110

Step-by-step explanation:

We can see that we have a polygon that has 6 sides. So we can use the formula [tex]S = (n-2) * 180[/tex] to get the answer to create our algebraic equation, n being the number of sides of the polygon.

[tex]S=(6-2) * 180[/tex]

Solve

[tex]4*180[/tex]

[tex]s=720[/tex]

Now that we have our number, we just have to create an algebraic equation to solve for r

[tex]r+110+150+115+130+105=720[/tex]

Add like terms

[tex]r+610=720[/tex]

Subtract 610 on both sides

[tex]r=110[/tex]

To check our work, we can add all of our angle measurements together.

[tex]110+110+150+115+130+105=720[/tex]

Because this equals 720, we know for sure r = 110.

The volume of the solid obtained by rotating the region bounded by the curves about the x-axis is π/77 (243 - 9sqrt(3)).

To find the volume of the solid obtained by rotating the region bounded by the curves about the x-axis, we can use the method of cylindrical shells. This involves integrating the circumference of a cylindrical shell times its height to obtain the volume of each shell, and then adding up the volumes of all the shells to get the total volume.

First, let's find the points of intersection of the two curves:

2/7 x^2 = 9/7 - x^2

9/7 = 9/7 x^2 + 2/7 x^2

9/7 = 11/7 x^2

x^2 = 9/11

x = ±sqrt(9/11)

The solid we obtain by rotating this region about the x-axis will have cylindrical shells with height dx, radius x, and circumference 2πx. Therefore, the volume of each shell will be:

dV = 2πx × h × dx

where h is the difference between the y-values of the curves at x:

h = (9/7 - x^2) - (2/7 x^2) = 9/7 - 9/7 x^2

Therefore, the total volume of the solid will be:

V = ∫(from x = -sqrt(9/11) to x = sqrt(9/11)) 2πx * (9/7 - 9/7 x^2) dx

V = 2π/7 ∫(from x = -sqrt(9/11) to x = sqrt(9/11)) x(9 - 9x^2) dx

We can simplify the integrand by setting u = 9x^2:

du/dx = 18x

dx = du/18x

Substituting:

V = 2π/7 ∫(from u = 9/11 to u = 81/11) (1/2)u^(1/2) (9/2) (du/18x)

V = π/7 ∫(from u = 9/11 to u = 81/11) u^(1/2) / x du

V = π/7 ∫(from u = 9/11 to u = 81/11) u^(1/2) / sqrt(9/11 - u/11) du

This integral can be evaluated using a trigonometric substitution. Let u = 9/11 sin^2 θ, then:

du/dθ = (18/11) sin θ cos θ dθ

Substituting:

V = π/7 ∫(from θ = π/6 to θ = π/2) (81/121) sin^3 θ dθ

V = π/7 [(81/121) * (3/4) - (9/121) × (sqrt(3)/2)]

V = π/77 (243 - 9sqrt(3))

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The equivalent value of 5 ft 7 in cm is 170.18 centimeters

In today's world, measurements play a crucial role in almost everything we do. Whether it's measuring ingredients for a recipe or calculating distances for a road trip, we rely on accurate measurements to ensure success. And as we live in a globalized world, it's important to be able to convert measurements from one unit to another. In this article, we will discuss how to convert the height of 5 feet 7 inches into centimeters.

To convert 5 feet 7 inches into centimeters, we need to first understand the conversion factor between feet and centimeters. 1 foot is equal to 30.48 centimeters. Therefore, to convert 5 feet into centimeters, we can multiply 5 by 30.48, which gives us 152.4 centimeters.

Now, we need to convert the 7 inches into centimeters. 1 inch is equal to 2.54 centimeters.

To convert 7 inches into centimeters, we can multiply 7 by 2.54, which gives us 17.78 centimeters.

Finally, to get the total height in centimeters, we can add the two values we obtained in the previous steps. Therefore, the height of 5 feet 7 inches is equal to

=> (152.4 + 17.78) = 170.18 centimeters

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The conversion of 28 inch to cm is 71.12 cm.

Kilometer (km) and mile are both units of distance or length, but they are used in different parts of the world.

A kilometer is a metric unit of length used in most countries outside the United States. It is defined as 1,000 meters, or approximately 0.62 miles.

To convert inches to centimeters, you can use the conversion factor of 1 inch = 2.54 centimeters.

So, to convert 28 inches to centimeters, you can multiply 28 by 2.54:

28 inches * 2.54 cm/inch = 71.12 cm

Therefore, 28 inches is approximately equal to 71.12 centimeters.

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A line segment of length 8.6 cm, when bisected the length of each half is  4.3cm.

Draw a straight line and mark two points A and B that are 8.6 cm apart.

With A as centre and radius more than half of AB, draw arcs on both sides of AB.

With the same radius and B as centre, draw arcs on the both sides of AB, cutting the previous two arcs.

Label the intersection points of the two arcs as E and F.

Draw a straight line connecting points E and F. This is the line of symmetry and bisects the line segment AB.

The length of each part of the bisected line segment is equal. To measure the length of each part, we can use a ruler to measure the distance from point A to the intersection point C and from point B to the intersection point D. Each of these distances should be approximately 4.3 cm, which is half the length of the original segment.

we get: AC=BC=4.3 cm.

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____The given question is incomplete, the complete question is given below:

Draw a line segment of length 8.6 cm. Bisect it and measure the length of each part.  

The dolphin traveled a total vertical distance of 17 feet during its jump. Note that the negative sign for the second and third parts of the jump indicates that the dolphin was descending during those parts.

Distance is the total amount of space traveled by an object or a person, regardless of the direction taken. It is a scalar quantity and is usually measured in units such as meters (m), kilometers (km), feet (ft), or miles (mi). Distance is different from displacement, which is the shortest distance between the starting and ending points in a particular direction.

The total vertical distance the dolphin traveled is the sum of the distances it traveled during each part of the jump:

Distance traveled during the first part of the jump (underwater to the surface): 27 feet - (-35 feet) = 62 feet

Distance traveled during the second part of the jump (out of the water to the surface): 0 feet - 27 feet = -27 feet

Distance traveled during the third part of the jump (surface to underwater): -18 feet - 0 feet = -18 feet

Total vertical distance traveled: 62 feet + (-27 feet) + (-18 feet) = 17 feet

Therefore, the dolphin traveled a total vertical distance of 17 feet during its jump. Note that the negative sign for the second and third parts of the jump indicates that the dolphin was descending during those parts.

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The number 11 in roman numerical can be written as the term of ten plus one so XI.

The ancient number system known as Roman numerals is still prevalent worldwide. The fixed positive numbers are represented by alphabets in roman numerals. I, II, III, IV, V, VI, VII, VIII, IX, and X are roman numerals that stand for the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 respectively.

Use the next procedure to write the number 11 in Roman numerals:

Start by simplifying the number 11 to its base form.

As a result, it is found that 11 Equals 10 + 1.

Write the numbers out in Roman numerals first, then add and subtract.

Hence, 10 + 1 = 11 is denoted by X + I = XI. [Note: The letters are linked together when a larger letter comes before a smaller letter.]

Thus, 11 is XI in Roman numerals.

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In order to create a 40% alcohol solution, we must combine 280 mL of 55% alcohol combination with 120 mL of the 5% alcohol mixture.

Alcohol can change how the brain functions and appears by interfering with the body's communication networks. In addition to altering attitude and behaviour, these disturbances can also make it more difficult to think effectively and move to coordination.

Let's designate the quantity of a mixture of 55% booze that needs to be added "x" (in mL).

We know that the finished solution must contain 40% pure alcohol by volume in order to achieve our goal of a 40% alcohol solution.

The amount of pure alcohol in the 120 mL of 5% alcohol mixture is:

0.05 * 120 = 6 mL

When we add "x" mL of the 55% alcohol mixture, we will add:

0.55x mL of pure alcohol

In the end, we want the total amount of pure alcohol in the final solution to be:

0.40 * (120 + x) mL

Now we can set up an equation:

0.55x + 6 = 0.40(120 + x)

Simplifying and solving for "x", we get:

0.55x + 6 = 48 + 0.40x

0.15x = 42

x = 280

So we need to add 280 mL of the 55% alcohol mixture to the 120 mL of 5% alcohol mixture to obtain a 40% alcohol solution.

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The negation of the proposition posed the statement is:

"Every student in this class has seen a computer."

The negation of the proposition "There is a student in this class who has never seen a computer" can be expressed using quantifiers as follows:

∀ x ∈ S, ∃ y ∈ C (x has seen y)

This means "For all students x in the class S, there exists a computer y in the set of computers C such that x has seen y."

In English, the negation of the proposition can be expressed as "Every student in this class has seen a computer."

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Limiting reagent calculator provides you the most reliable results in a fraction of seconds without any error that arises in the manual calculation.

A limiting reactant calculator online is a tool used to calculate the amount of reactant needed to produce a specific product. The calculator helps you determine the limiting reactant in a chemical reaction, which is the reactant that will be completely consumed in the reaction.

It does this by calculating the amount of reactant needed to produce the desired amount of product. Once the limiting reactant is known, the amount of excess reactant can be determined.

This calculator can be used to optimize chemical reactions, helping to maximize the amount of product produced while minimizing the amount of reactants used. This can help reduce costs and material waste.

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Answer:

86.1825503

Step-by-step explanation

190 pounds to kg is 86.1825503