82.8cm measured to the nearest tenth of a cm

It is recommended that a wager of $1,000 be placed on candidate B1 to win the national election so that the potential return can be maximised.

For each candidate, we first compute the probability of each result, and then we multiply that probability by the payout that corresponds to that outcome. This gives us the expected payoff for each candidate. The projected return for candidate A comes to 0.5 times $2,200, which equals $1,100. The estimated reward for candidate B1 is 0.5 times 0.8 times $2,000, which equals $800. In conclusion, the expected payment for selection B2 is half (0.5) times (0.2) times (10,000), which is $1,000.

According to these calculations, the expected return on investment for a wager placed on candidate A is $1,100, but the expected return on investment for a bet placed on candidate B1 is $800 and the expected return for candidate B2 is $1,000. Because we want to make sure that the amount of money we win is as big as possible, we should place our bets on candidate A, who has the potential to win us the most money. As a result, placing a wager of one thousand dollars on candidate B1 to win the national election is recommended.

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Answer:

A quadrilateral.

Step-by-step explanation:

The shape has 4 sides, so it is a quadrilateral.

Answer:

dart

Step-by-step explanation:

The two numbers are 7/6 and 5 when the sum of two numbers is 3 more than four times the first number.

Let's call the two numbers x and y, where x is the first number and y is the second number.

The problem gives us two equations that relate the two numbers:

\(x + y = 3 + 4x\\y - x = 2y - 10\)

We can substitute the expression for y from equation 1 into equation 2:

\(y - x = 2(3 + 4x) - 10\)

Expanding the right side and simplifying, we get:

\(y - x = 6 + 8x - 10\\y - x = 8x - 4\)

Adding x to both sides:

\(y = 9x - 4\)

Substituting this expression for y into equation 1:

\(x + (9x - 4) = 3 + 4x\)

Expanding and simplifying the right side:

\(10x - 4 = 3 + 4x\)

Subtracting 4x from both sides:

\(6x - 4 = 3\)

Adding 4 to both sides:

\(6x = 7\)

Dividing both sides by 6:

\(x = 7/6\)

Substituting this value of x back into the expression for y:

\(y = 9x - 4 = 9 * (7/6) - 4 = 63/6 - 4 = 9 - 4 = 5\)

So the two numbers are 7/6 and 5.

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In this scenario, we are given a string that is 2.3 meters long and under a tension of 26 N. Additionally, a pulse travels the length of the string in 54 ms.

When a pulse travels through a string, it causes the string to vibrate and move. The tension of the string determines how quickly the pulse can travel and how far it can go. In this case, the tension of 26 N is relatively high, which means that the pulse can travel quickly and over a significant distance.
The fact that the pulse travels the length of the string in 54 ms tells us something about the speed of the pulse. We can use the formula speed = distance / time to calculate the speed of the pulse. In this case, the distance is the length of the string, which is 2.3 m. The time is 54 ms, or 0.054 s.
So, speed = distance / time = 2.3 m / 0.054 s = 42.59 m/s.
We now know the speed of the pulse, but what about the tension and length of the string? We can use the formula v = sqrt(T/μ) to calculate the speed of a pulse in a string, where v is the speed of the pulse, T is the tension of the string, and μ is the mass per unit length of the string.
Rearranging this formula, we get T = μv^2. We can use this formula to find the tension of the string. Plugging in the values we know, we get:
T = μv^2 = (mass per unit length of string) * (speed of pulse)^2
We don't know the mass per unit length of the string, but we can find it using the formula μ = m / L, where m is the mass of the string and L is its length.
Assuming the string has a uniform density, we can calculate its mass using the formula m = ρAL, where ρ is the density of the string, A is its cross-sectional area, and L is its length.
We don't know the cross-sectional area, but we can make a rough estimate based on the thickness of the string. Assuming the string has a circular cross-section, we can use the formula A = πr^2, where r is the radius of the string.
Again, we don't know the radius of the string, but we can make a rough estimate based on its diameter. Assuming the string has a diameter of 2 mm, its radius is 1 mm, or 0.001 m.
Plugging in these values, we get:
A = π(0.001 m)^2 = 7.85 x 10^-7 m^2
m = ρAL = (density of string) * (cross-sectional area) * (length of string)
  = (density of string) * (7.85 x 10^-7 m^2) * (2.3 m)
We don't know the density of the string, but assuming it is made of nylon or a similar material, its density is around 1100 kg/m^3. Plugging in this value, we get:
m = 2.039 x 10^-3 kg
μ = m / L = 2.039 x 10^-3 kg / 2.3 m = 8.86 x 10^-4 kg/m
Now we can use the formula T = μv^2 to find the tension of the string. Plugging in the values we know, we get:
T = μv^2 = (8.86 x 10^-4 kg/m) * (42.59 m/s)^2 = 159.3 N
So the tension of the string is 159.3 N, which is much higher than the original tension of 26 N. This makes sense, since the pulse travels quickly and over a significant distance, indicating that the tension must be high.

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Answer: its b

Step-by-step explanation:

trusttt

B

Step-by-step explanation:

trusttt

Answer:

Step-by-step explanation:

Quadrant 2 or Quadrant II

Answer:

The answer Is d

quadrant 2

Answer: that is a less than sign or symbol

Step-by-step explanation:

Answer: Less than or Equal to

Answer:

47.97

Step-by-step explanation:

l Base length  

4

w Base width  

4

h Pyramid height  

3.46

Answer:

Step-by-step explanation:

a2 = -2

a + d  =  -2

a + 6d = 7

-5d  =  -9

d  =  9/5

a = -19/5

an  =  a + ( n-1 ) d

an =  -19/5 + ( n-1 ) 9/5

Answer:

x=1

Step-by-step explanation:

it is

We are given an ellipse with its foci . The, b + d = 5 / 2 + 2√19 / 5 = (25 + 4√19) / 10 = 5 / 2 + √19 / 5. Answer: b + d = 5 / 2 + √19 / 5.

Given that an ellipse has its foci at (± 5, 0) and passes through the point (7,4), its equation can be written in the form, (x - a)² / b² + (y - c)² / d² = 1, where a, b, c, and d are constants, and b and d are positive. We are to find the value of b + d. Using the given information, we can find the center of the ellipse as follows: Center of the ellipse is the midpoint of the line segment joining the foci of the ellipse. Therefore, center of the ellipse is (0, 0).Now, we can write the equation of the ellipse as follows:(x - 0)² / a² + (y - 0)² / c² = 1 ........(1). Since the ellipse passes through (7, 4), we can substitute x = 7 and y = 4 in equation (1) and get:7² / a² + 4² / c² = 1. Simplifying, we get:49 / a² + 16 / c² = 1 ........(2).

Since the distance between the foci is 10, we have:2a = 10a = 5Also, a² = 25 / 4Using this value of a in equation (2), we get:49 / (25 / 4) + 16 / c² = 1Simplifying, we get:c² = 304 / 25Now, we can write the equation of the ellipse in the required form as follows:(x - 0)² / (25 / 4) + (y - 0)² / (304 / 25) = 1Simplifying, we get:4x² / 25 + 25y² / 304 = 1Therefore, b = 5 / 2 and d = 2√19 / 5Therefore, b + d = 5 / 2 + 2√19 / 5 = (25 + 4√19) / 10 = 5 / 2 + √19 / 5Answer: b + d = 5 / 2 + √19 / 5.

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The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer:

the first term

a₁ = -30.4

Step-by-step explanation:

Let (an) be an arithmetic sequence with a common difference 8.

a₁ represents its first term.

And let S be the sum of the first 10 terms of the sequence.

Then

S = a₁ + a₂ + ………+ a₁₀

a₁₀ = a₁ + 8(10 - 1) = a₁ + 8×9 = a₁ + 72

S = a₁ + a₂ + ………+ a₁₀

  \(=\frac{10}{2} \times \left( a_{1}+a_{10}\right)\)

  \(=5} \times \left( a_{1}+(a_{1}+72)\right)\)

  \(=5} \times \left( 2a_{1}+72\right)\)

  \(=10a_{1}+360\)

We are given :  S = 56

then

56 = 10a₁ + 360

then

-10a₁ = 360 - 56

then

-10a₁ = 304

then

a₁ = -304/10

   = -30.4

The equation of the quadratic function, in factored form, is f(x) = 0.992(x + 3)(x - 2)

To determine the equation of the quadratic function based on the given information, we can use the factored form of a quadratic equation. The factored form of a quadratic function is given as follows:

f(x) = a(x - r1)(x - r2)

where "a" is the leading coefficient, and r1 and r2 are the roots (or x-intercepts) of the quadratic function.

Based on the information provided, we can deduce the following:

The vertex of the parabola is at (-0.5, -6.2). Since the parabola opens upward, the leading coefficient "a" must be positive.

The left slope intersects the x-axis at (-3, 0), which implies that x = -3 is one of the roots (or x-intercepts) of the quadratic function.

The right slope intersects the x-axis at (2, 0), which means x = 2 is the other root (or x-intercept) of the quadratic function.

Using this information, we can now determine the equation of the quadratic function:

Since we have the roots, r1 = -3 and r2 = 2, we can plug these values into the factored form equation:

f(x) = a(x - r1)(x - r2)

f(x) = a(x - (-3))(x - 2)

f(x) = a(x + 3)(x - 2)

To find the value of the leading coefficient "a," we can use the vertex coordinates. Since the vertex is (-0.5, -6.2), we can substitute these values into the equation:

-6.2 = a((-0.5) + 3)((-0.5) - 2)

-6.2 = a(2.5)(-2.5)

-6.2 = a(-6.25)

Dividing both sides by -6.25:

a = -6.2 / -6.25

a ≈ 0.992

Therefore, the equation of the quadratic function, in factored form, is:

f(x) = 0.992(x + 3)(x - 2)

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Note the graph is

If \(\displaystyle\sf f(x)=-2x+3x+5\) and \(\displaystyle\sf g(x)=x^{2}+2x\), we need to find the graph of \(\displaystyle\sf (f+9)(x)\).

To find \(\displaystyle\sf (f+9)(x)\), we add 9 to the function \(\displaystyle\sf f(x)\). So we have:

\(\displaystyle\sf (f+9)(x)=-2x+3x+5+9\)

Simplifying this expression, we get:

\(\displaystyle\sf (f+9)(x)=x+14\)

Therefore, the graph of \(\displaystyle\sf (f+9)(x)\) is a straight line with a slope of 1 and y-intercept at 14.

Answer:it’s D

Step-by-step explanation:

It’s (-4, -1)

Answer:

To compute the total cost based on the number of drinks and tacos, we can use the given prices of $2 for a drink and $5 for a taco. Let's assume the number of drinks is represented by "d" and the number of tacos is represented by "t". The **total cost** can be calculated as:

totalcost = (2 * d) + (5 * t)

For example, if we have 2 drinks and 3 tacos, the calculation would be:

totalcost = (2 * 2) + (5 * 3) = 4 + 15 = 19

So, with 2 drinks and 3 tacos, the total cost would be $19.

You can substitute the values of "d" and "t" with the desired quantities to calculate the total cost for different combinations of drinks and tacos.

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Solution:

Solve the system of equations to find the value of y.

        5x + 3y = 8

        2(5x + 3y = 8)

        10x + 6y = 16

Substitute the value of y into any equation to find the value of x.

Putting them in (x,y) form.

The correct dotplot for the given data is option D, which displays the number of errors for the week for each workstation.

Error in math is any mistake made in the process of solving a mathematical problem or problem-solving process. It could mean a mistake in the calculations, incorrect steps taken, or incorrect assumptions made. It can also include making a wrong interpretation of the problem, or not being able to solve it at all. Errors in math can occur due to a lack of understanding of the concepts, mistakes in calculations, errors in reasoning, or incorrect application of the rules and formulas. Errors can also be made in the process of writing down the equations, or in the process of simplifying the equation.

The graph begins with 0 and goes up to 254201 in intervals of 5. The data points for each work station are marked on the graph, showing the number of errors each work station made. This visual display of data points allows for an easy comparison of the number of errors across all workstations.

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Answer:

1/6th chance.

P.s.

please give brainliest

The value of y when x=8 and z = 1/4 is 1 based on the joint variation

The variation is given as

A joint variation

Such that y varies jointly as x and z

This means that

y = kxz

Where k is the constant of variation

From the question, we have

y=15 when x=5 and z=6

This means that

15 = k * 5 * 6

So, we have

15 = 30k

Evaluate

k = 0.5

Substitute k = 0.5 in y = kxz

y = 0.5xz

When x=8 and z = 1/4, we have

y = 0.5 * 8 * 1/4

Evaluate

y = 1

Hence, the value of y is 1

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The numbers 6 + 5i and 6 - 5i are complex conjugates of each other, differing only in the sign of their imaginary parts.

The numbers 6 + 5i and 6 - 5i, which differ only in the sign of their imaginary parts, are called complex conjugates of each other.

In a complex number, the imaginary part is represented by the coefficient of "i". In this case, the imaginary parts are 5i and -5i.

The complex conjugate of a number is obtained by changing the sign of the imaginary part. For example, the complex conjugate of 6 + 5i is 6 - 5i, and vice versa.

Complex conjugates have some interesting properties. When multiplied together, the product of a complex number and its conjugate results in a real number. Let's demonstrate this:

(6 + 5i) * (6 - 5i) = 36 - 30i + 30i - 25i^2

Remember that i^2 is equal to -1, so substituting -1:

36 - 25(-1) = 36 + 25 = 61

The result of the multiplication is a real number, 61. This property holds true for any complex conjugate pair.

Complex conjugates are useful in many areas of mathematics, particularly in complex analysis and solving equations involving complex numbers. They also play a role in representing complex numbers in polar form and finding the magnitude or absolute value of a complex number.

In summary, when multiplied together, the product is a real number. Complex conjugates have various applications and properties in mathematics.

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Okay here we have this:

Answer:

Step-by-step explanation:

L = 3*w + 1                      Given

P = 2*(L + w)                   Formula for Perimeter. Substitute for L    

P = 2*(3w + 1 + w)           Combine

P = 2*(4w + 1)                  

P = 58                             Given

58 = 8w + 2                    Remove the brackets

58 - 2 = 8w                     Subtract 2

56 = 8*w                         Divide by 8

56/8 = w

7 = w

================

Find L

L = 3*w + 1

L = 3*7 + 1

L = 22

================

Check

2L + 2W  = 58

2*22 + 2*7 =? 58

44 + 14 = ? 58

58 = 58

The answer checks.

Answer:

1 1/2 miles

Step-by-step explanation:

(aka option A on edge)

a) The solution to the equation -3x + (-4,5) = (-3, 1) is x = (0, -2).

b) The solution to the equation (-2, 5) - x = (-2, 3) - 2x is x = (0, 2).

c) The solution to the equation 4(5x + (1,4)) + (1, -1) = (2, 2) is x = (-1, -1).

d) The solution to the equation 5(x + 5(x + 5x)) = 6(x + 6(x + 6x)) is x = (0, 0).

a) In the equation -3x + (-4,5) = (-3, 1), we can solve for x by isolating the variable. Adding 3x to both sides and simplifying, we get x = (0, -2).

b) For the equation (-2, 5) - x = (-2, 3) - 2x, we can solve for x by first distributing the scalar 2 to the terms on the right side. Simplifying, we have (-2, 5) - x = (-2, 3) - 2x. Rearranging the equation and isolating x, we find x = (0, 2).

c) In the equation 4(5x + (1,4)) + (1, -1) = (2, 2), we can simplify the expression by distributing the scalar 4 and combining like terms. Then, isolating x, we obtain x = (-1, -1).

d) For the equation 5(x + 5(x + 5x)) = 6(x + 6(x + 6x)), we can simplify the expressions inside the parentheses by performing the operations within. After simplification, we have 5(x + 30x) = 6(x + 42x). Simplifying further and isolating x, we find x = (0, 0).

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The simplification of the given algebraic expression is; -³/₂x²

We are given the algebra expression as;

(3x³ + 15x²)/(-2x - 10)

Let us factorize the numerator to get;

(3x³ + 15x²) = 3x²(x + 5)

Similarly, let us factorize the denominator to get;

(-2x - 10) = -2(x + 5)

Thus, our original equation is now;

(3x³ + 15x²)/(-2x - 10) = [3x²(x + 5)]/-2(x + 5)

= -³/₂x²

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Riley's mistake in step 2 of her homework was canceling out the x term in both the numerator and denominator of the second fraction. This cancellation is incorrect because the terms x and x-3 are not the same and cannot be simplified or canceled out.

To illustrate the correct simplification, let's evaluate the given expression:

\($$\frac{x}{x^2-5x+6} \cdot \frac{1}{\frac{x}{x-3}}$$\)

First, we simplify the denominator in the second fraction by multiplying by the reciprocal:

\($$\frac{x}{x^2-5x+6} \cdot \frac{x-3}{x}$$\)

Next, we notice that the x terms in the numerator and denominator of the second fraction can be canceled out:

\($$\frac{1}{\frac{1}{x-3}}$$\)

Further simplification can be done by multiplying the fraction in the denominator by its reciprocal:

\($$1 \cdot \frac{x-3}{1} = x-3$$\)

Hence, the correct simplification of the expression is x-3. Riley's mistake was canceling out the x terms in the second fraction, which led to an incorrect simplification.

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According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.

Property of Equality:

The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.

That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.

Multiplicative Property of Equality:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.

The formula for this property can be expressed as for the real numbers a, b, and c.

If a × b, then, a × c = b × c.

In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.

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