Members of a soccer team raised $2143.50 to go to a tournament. They rented a bus for $888.50 and budgeted $62.75 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.

Equation:
Answer:x=

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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Answer:

Step-by-step explanation:

ok I forgot to tell you the arc PTR would be 126 +54 +14(4) +4 which equals 240 degrees. Answer.

Answer:

634.2 m²

Step-by-step explanation:

Given:

Angle given = 37°

Radius (r) = 15 m

Required:

Area of the shaded sector

Solution:

Area of the shaded sector = θ/360 * πr²

θ = 360 - 37 = 323°

r = 15 m

Plug in the values

Area of the shaded sector = 323/360 * π * 15²

= 634.209017

≈ 634.2 m² (nearest tenth)

You should write down and track only the 20lbs weight during your weighted exercise while ignoring your body weight.

Actual weight is also referred to as gross weight and it can be defined as the exact (original) weight of an object, as measured using an appropriate weighing scale.

This ultimately implies that, you would write down and track only the 20lbs weight during your weighted exercise such as a single rep of weighted overhand chin ups.

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Answer:

The volume of the cube is 1/2 x 1/2 x 1/2 = 1/8

length x width x height = volume

1x2x2.5=5

2 1/2 = 2.5 because 1/2=0.5

to divide fractions multiply the reciprocal. The reciprocal is the fraction flipped over

5 / 1/8 = 5 x 8/1

5x8/1=40

40 cubes

Step-by-step explanation:

The triangle that has been shown is a scalene obtuse triangle.

A triangle called a scalene triangle has three sides that are all different lengths. In other words, a scalene triangle has three different angles and no two of its sides have the same length.

A triangle with one obtuse angle is referred to as an obtuse triangle. Any angle that is greater than 90 degrees but less than 180 degrees is referred to as an obtuse angle.

Thus we have a scalene obtuse triangle.

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The fraction of 1/2 is 1/3 and a tape diagram to represent 6.66666.7*\(10^{-1}\)

A representation of the relationship between numbers that resembles a piece of tape. In addition, length models, fraction strips, bar models, and strip diagrams are also used. A tape diagram is a rectangular image containing parts that aid in computations and resembles a piece of tape. It is a common graphic tool for figuring out ratio-based mathematics word problems. Rectangles are used in tape diagrams to graphically represent the components of a ratio. With tape diagrams, your youngster may see addition and subtraction shown visually. To begin, have your child practice RDWW (read, draw, write a number sentence, write an answer statement), and then teach them how to create a tape diagram to represent the solution.

Based on the given conditions,

Formulate

1/3/1/2

Divide a fraction by multiplying its reciprocal

2/3

Alternative forms

=66.6666667%

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Answer:

0.607, 6.07, 60.7, 607

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Mean = sum of datas/Sample size

Given the data  16,18,x,12 and 15

Sum =  16+18+x+12

Sum = 46+x

Mean = 15

Sample size = 5

Substitute

15 = 46+x/5

15 * 5 = 46+x

75 = 46 + x

x = 75-46

x = 29

Hence the value of x is 29

The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

Answer:

17,242 cm³

Step-by-step explanation:

Step 1:

Volume of square prism = (area of base) * height

Volume of square prism = (25 * 30) * 25

Volume of square prism = 750 * 25

Volume of square prism = 18,750 cm³

Step 2:

Volume of cylinder = (area of base) * height

Volume of cylinder = (π * (8/2)²) * 30

Volume of cylinder = 16π * 30

Volume of cylinder = 480π

Volume of cylinder ≈ 1,508 cm³

Step 3:

Volume of composite = (Volume of square prism) − (Volume of cylinder)

Volume of composite = 18,750 cm³ − 1,508 cm³

Volume of composite = 17,242 cm³

Answer:

4 pairs

Step-by-step explanation:

Given

ab = 30

Where

a > b

Required

Determine number of pairs (a,b)

To do this, we simply test values for a and b that satisfy the required condition.

First,

Take a = 30

Substitute 30 for a in ab = 30

30 * b = 30

b = 30/30

b = 1

The pair is (30,1)

Take a = 15

Substitute 15 for a in ab = 30

15 * b = 30

b = 30/15

b = 2

The pair is (15,2)

Take a = 10

Substitute 10 for a in ab = 30

10 * b = 30

b = 30/10

b = 3

The pair is (10,3)

Take a = 6

Substitute 6 for a in ab = 30

6 * b = 30

b = 30/6

b = 5

The pair is (6,5)

There exist no other pair that satisfy the given condition.

Counting the above pairs, there are just 4 pairs.

1. Variable: A symbol or letter that represents an unknown value or quantity in algebraic expressions and equations.

2. Equation: A mathematical statement that shows the equality between two expressions, typically represented by an equal sign (=).

3. Coefficient: The numerical factor that is multiplied by a variable in a term.

4. Expression: A mathematical phrase that may contain variables, constants, and operations, but does not have an equal sign.

5. Linear Equation: An equation in which the highest power of the variable is 1, written in the form ax + b = 0, where a and b are constants and x is the variable.

Variable: In algebra, a variable is a symbol (usually a letter) that represents an unknown value or quantity. It allows us to express mathematical relationships and solve equations.

Equation: An equation is a mathematical statement that shows the equality between two expressions.

It consists of an equal sign (=) and can include variables, constants, and operations.

Solving equations involves finding the values of the variables that make the equation true.

Coefficient: A coefficient is the numerical factor that is multiplied by a variable in a term.

It represents the scale or magnitude of the variable.

For example, in the term 3x, the coefficient is 3.

Expression:

An expression is a mathematical phrase that can contain variables, constants, and operations, but does not have an equal sign.

Expressions can be evaluated or simplified, but they cannot be solved since they lack the equality found in equations.

Linear Equation:

A linear equation is an equation where the highest power of the variable is 1.

It can be written in the form ax + b = 0,

where a and b are constants and x is the variable.

Solving linear equations involves finding the value(s) of x that satisfy the equation.

These are just a few key definitions that form the foundation of understanding introductory algebra.

Mastering these concepts will provide a solid basis for further exploration and learning in algebraic principles and problem-solving.

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The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36

We should know that a circle is a set of points on a circle that are equal from a fixed point

The standard form for finding the equation of a circle is expressed as;

(x-a)² + (y-b)² = b=r²

where; (a, b) is the center of the circle

r is the radius of the circle

Given the following

Diameter = 12 units

radius = 12/2 = 6 units

If the center lies on the y-axis, the center will be at (0, 3)

Therefore, Substituting into the formula, we will have (x-0)² + (y-3)² = 6² which is equivalent to x²+ (y-3)² = 36

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" StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot "is

(X^7/2)(y^-3/5) which is expressed as Option A (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline)

This is further explained below.

Generally, An expression, often known as a mathematical expression, is a finite collection of symbols that is well-formed according to principles that are dependent on the context in which the expression is being used.

In conclusion, The expression equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot is

(X^7/2)(y^-3/5) hence  (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) Option A.

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CQ

Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot?

Assume y not-equals 0. (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) (x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline) (x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline) (x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline).

Answer:

A

Step-by-step explanation:

Answer:

6x - 18

Step-by-step explanation:

(2x - 6) + 4(x - 3) =

= (2x - 6) + 4x - 12 =

= 2x - 6 + 4x - 12 =

= 2x + 4 - 6 - 12 =

= (2x + 4x) + (-6 - 12) =

= 6x - 18

Answer: I think it’s 647.96

Step-by-step explanation:

warning: this is not the exact value (it’s rounded)

First you find the height of the traingle

To do that, do pythagoras theorem

square root 36 squared minus 25.5 squared

then use formula for area of a triangle

The measure of angle O is 56 and the value of m and n are 8.1 in and 14.5 in respectively.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The longest side is hypotenuse and it is the side facing the right angle. The other two sides are opposite and adjascent.

sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan,(tetha) = opp/adj

angle O = 180-(90+34)

= 180- 124

= 56°

To find m,

Tan 34 = m/12

m = Tan34 × 12

m = 8.1 in

using Pythagoras theorem to find n,

n= √8.1²+12²

n = √65.61+144

n = √209.61

= 14.5 in

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The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8

Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment;

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively);

When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%;

Given:

Hannah makes 5 out of 8 attempted free-throws.

Now,

The average waiting time of hannah to make her first basket is 5/8

The probability of hannah making basket at her last attempt is 1/8

The probability of hannah making basket before her last attempt is 2/8

Hence, the probabilty will be 1/8 and 2/8;

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Answer: 8

Step-by-step explanation:

I do not understand the question. But if my interpretation is correct, then:

If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.

Answer:

the height of each player

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer is A

Answer:

2x + y = 3

y = -2x + 3 <==

-2y = 14 - 6x

y = -14/2 + 6/2x

y = -7 + 3x

y = 3x - 7 <===

Step-by-step explanation:

The answer of the the system of equation is y = -2/11 and x = 39/22.

"A 'system' of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.

Think back to when you were first learning about two-variable linear equations, often stated in the form "y = mx + b. For instance, consider the linear equation y = 3x − 5. A "solution" to this equation was any (x, y)-point that "worked" in the equation."

Given the equation

2x + y = 3 −2y = 14 − 6x

solving them gives us \(2x+3y=3\) or x =3- 3y/2 and \(6x - 2y = 11\) or x =11+2y/6

solving both the equations we get y = -2/11 and x = 39/22

Hence, y = -2/11 and x = 39/22.

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Answer:

where?????????????????????:/

Answer:

i would but where it is?

Answer:

हेलो मेरा पसंदीदा मौसम गर्मियों का है, मैं इसे प्यार करता हूं क्योंकि मैं अपने दोस्तों के साथ तैराकी करता हूं और मुझे तैराकी पसंद है क्योंकि मैं ट्रैक रन करता हूं, मुझे सिर्फ गर्मी से प्यार है

Step-by-step explanation:

Answer:
10

Step-by-step explanation:

-3x+7x-8=34+9x-2

(Combine like terms)

4x-8=32

(Add 8 to each side)

4x=40

(Divide by 4)

X=10

Answer:

35%

Step-by-step explanation:

\(Principal = 2500\\\\Simple\:Interest = 3500\\\\Time = 4 \:years\\\\Rate = ?\\\\Rate = \frac{100 \times Simple \: Interest }{Principal \times Time}\\\\Rate = \frac{100 \times 3500}{2500 \times 4} \\\\Rate = \frac{350000}{10000}\\\\ Rate = 35 \%\)

\(S.I = \frac{PRT}{100}\\\\ 100S.I = PRT\\\\\frac{100S.I}{PT} = \frac{PRT}{PT} \\\\\frac{100S.I}{PT} = R\)

Answer:

35%

Step-by-step explanation:

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According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.

In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:

According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.

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