If 6 burgers cost $7.74, how many can you buy for $19.35? Pls show work and explain how you did it :)

The arc marked in red is a quarter of the circle's circumference.

Hence the arc marked red subtends an angle of 90degrees.

In our case

Step-by-step explanation:

I hope I got it right and I hope this helps

Answer:

the question is incomplete but if you're wanting the ratio of band members who play brass instruments to the total amount of marching band members, the ratio is 1:4.

in other words, 1/4 of the marching band students play brass instruments.

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

We have, 25% × x = 25

or,

25

100

× x = 25

Multiplying both sides by 100 and dividing both sides by 25,

we have x = 25 ×

100

25

x = 100

If you are using a calculator, simply enter 25×100÷25, which will give you the answer.

P(X < 11.5) is equal to 0.3, indicating that there is a 30% chance for the random variable X to be less than 11.5 within the given uniform distribution interval.

The probability that the random variable X is less than 11.5, denoted as P(X < 11.5), can be calculated using the uniform distribution between 10 and 15. The solution can be summarized as follows:

The range of X is given as 10 to 15, and since X is uniformly distributed, the probability density function (PDF) is constant within this range. To find P(X < 11.5), we need to determine the proportion of the total range that lies below 11.5.

The uniform distribution is characterized by a constant probability density function (PDF) within a given interval. In this case, the interval is from 10 to 15. Since the PDF is constant, the probability is equal to the ratio of the length of the interval below 11.5 to the length of the entire interval.

The length of the interval from 10 to 15 is 15 - 10 = 5. The length of the interval below 11.5 is 11.5 - 10 = 1.5. Therefore, the probability of X being less than 11.5 is given by the ratio 1.5/5 = 0.3.

In summary, P(X < 11.5) is equal to 0.3, indicating that there is a 30% chance for the random variable X to be less than 11.5 within the given uniform distribution interval.


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The primary advantage of the average rate of return method is its ease of computation. Additionally, it emphasizes the amount of income earned over the life of the proposal.

The average rate of return method is a simple and straightforward method for evaluating investment proposals. It calculates the average annual income or return generated by an investment over its useful life. This method is advantageous because it is easy to calculate, requiring basic financial information such as initial investment and expected annual income.

Moreover, the average rate of return method focuses on the income earned over the life of the proposal, providing a comprehensive view of the investment's profitability. This is in contrast to other methods that may focus on specific time periods or cash flows. By considering the overall income, the average rate of return method helps in assessing the long-term financial viability of the investment.

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Answer:

24.

Step-by-step explanation:

The pattern is clearly going up by twos.

So continuing the pattern,

1, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

1 2  3   4 5   6   7   8   9   10  11    12   13

Answer:

2.351 or 2.4

Step-by-step explanation:

To get from the number of eggs used to make a certain number of cookies to the number of eggs needed to make some other number of cookies, you would use a proportional relationship.

Let's say x represents the number of eggs used to make a certain number of cookies, y represents the number of cookies made, and z represents the number of eggs needed to make some other number of cookies.

Then, we can set up the proportion:

x eggs / y cookies = z eggs / (some other number of cookies)

We can then solve for z by cross-multiplying:

z eggs = x eggs * (some other number of cookies) / y cookies

This formula tells us how many eggs are needed to make the specified number of cookies, based on the number of eggs used and the number of cookies originally made.

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The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Use main properties of powers

(a^m)^n=a^{m\cdot n};(am)n=am⋅n;

\dfrac{1}{a^n}=a^{-n}an1=a−n

to simplify given equation.

1.

4^x=(2^2)^x=2^{2x}.4x=(22)x=22x.

2.

\left(\dfrac{1}{8}\right)^{x+5}=\left(\dfrac{1}{2^3}\right)^{x+5}=(2^{-3})^{x+5}=2^{-3x-15}.(81)x+5=(231)x+5=(2−3)x+5=2−3x−15.

3. Then the equation is

2^{2x}=2^{-3x-15}.22x=2−3x−15.

The bases are the same, so equate the powers:

2x=-3x-15,

2x+3x=-15,

5x=-15,

x=-3.

Answer: for x=-3.

Two-person, non-zero sum games can have a single unique Nash equilibrium in pure strategy, such as the Prisoner's Dilemma, or multiple Nash equilibria in pure strategy, like the Battle of the Sexes.

Example of a two-person, non-zero sum game with a single unique Nash equilibrium in pure strategy:

Prisoner's Dilemma:

Player 1 options: Cooperate (C) or Defect (D)

Player 2 options: Cooperate (C) or Defect (D)

        | Player 2 Cooperate | Player 2 Defect |

----------------------------------------------

Player 1 |      (-1, -1)      |    (-3, 0)     |

----------------------------------------------

Player 2 |       (0, -3)      |    (-2, -2)    |

In this game, both players have a dominant strategy to defect (D) regardless of the other player's action. The Nash equilibrium is (D, D) since neither player can unilaterally deviate to improve their payoff.

Example of a two-person, non-zero sum game with multiple Nash equilibria in pure strategy:

Battle of the Sexes:

Player 1 options: Opera (O) or Football (F)

Player 2 options: Opera (O) or Football (F)

        | Player 2 Opera | Player 2 Football |

----------------------------------------------

Player 1 |    (2, 1)     |      (0, 0)      |

----------------------------------------------

Player 2 |    (0, 0)     |      (1, 2)      |

In this game, there are two pure strategy Nash equilibria: (O, O) and (F, F). Each player prefers a different outcome, but both players agree on their preferred action at each Nash equilibrium.

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Answer:

y=mx+b

y=-x-3

Step-by-step explanation:

The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

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Answer:

Step-by-step explanation:

The slope is 2 so rise / run = 2 / 1, or up two right one.

Answer:

it’s in order but switch the 3/8 and the 1/4?

Step-by-step explanation:

The perimeter of the rectangle is given as;

the breadth is also given as;

Recall that the formula for the perimeter of a restangle is;

where,

l is the length and b is the breadth

So, let us substitute the values of P and b into the formula;

Now, let us solve for l;

Therefore the length of the of the rectangle is 9cm

Answer:

p = 3, q = 1

Step-by-step explanation:

-6 ÷ 2 = 3

(x - 3)² -(-3)² + 8

(x - 3)² -9 + 8

(x - 3)² - 1 = 0

We can simplify the expression by combining terms and simplifying further based on any specific values of u or 1.

To express the trigonometric expression cot(sin(1u)) cot(sin(1]) as an algebraic expression in u, we need to apply trigonometric identities and simplify it.

Let's start by using the identity cot(x) = 1/tan(x):

cot(sin(1u)) cot(sin(1]) = (1/tan(sin(1u))) (1/tan(sin(1]))

Next, we'll use the identity tan(x) = sin(x)/cos(x) to rewrite the tangents in terms of sine and cosine:

= (1/(sin(1u)/cos(1u))) (1/(sin(1)/cos(1]))

Simplifying further, we can multiply the reciprocals:

= (cos(1u)/sin(1u)) (cos(1)/sin(1))

Now, let's use the identity sin(2x) = 2sin(x)cos(x) to express the sines and cosines in terms of sine of half-angles:

= (cos(1u)/(2sin(1/2u)cos(1/2u))) (cos(1)/(2sin(1/2)cos(1/2)))

= (cos(1u)/2sin(1/2u)cos(1/2u)) (cos(1)/2sin(1/2)cos(1/2))

Since cos(x)cos(y) = (1/2)[cos(x+y)+cos(x-y)], we can use this identity to simplify the expression further:

= (cos(1u)/2sin(1/2u)(1/2)[cos(1/2+1/2u)+cos(1/2-1/2u)]) (cos(1)/2sin(1/2)cos(1/2))

= (cos(1u)/4sin(1/2u)[cos(1/2+1/2u)+cos(1/2-1/2u)]) (cos(1)/2sin(1/2)cos(1/2))

Now, we can simplify the expression by combining terms and simplifying further based on any specific values of u or 1.

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Answer:

1) 1.6 inch

2) 10.05inch

Step-by-step explanation:

radius = diameter/2 = 3.2/2 = 1.6 inch

circumference = 2πr = 2 * 3.14 * 1.6 =10.048=10.05inch

Answer:

radius is approximately 1.6 inches

circumference is approximately 10.05 inches

Step-by-step explanation:

radius formula: d ÷ 2

d = 3.2 ÷ 2

= 1.6

circumference formula: pi × 2 × r

pi = 3.14

r = 1.6

3.14 × 2 × 1.6 = 10.048

round to nearest hundredth = 10.05

Answer:

8*8

Step-by-step explanation:

Hre we can divide the time worked (hrs) by the amount made!

Generally I wouldn't do this for the whole table, but considering its not very big we will!

$16/2hrs =8

$24/3hrs = 8

$40/5hrs = 8

From this we can deduce that every hour, 8 dollars are earned.

The equation would be x=8h

but for this 8dollars * 8 hrs is right!

The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).

The slope-intercept formula is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation in the question

2x - y = -3

First, we solve form for y and reorder in slope intercept form.

2x - y = -3

Subtract 2x from both sides

2x - 2x- y = -3 - 2x

- y = -3 - 2x

Divide each term by -1

y = 3 + 2x

Reorder in slope intercept form

y = 2x + 3

To find the y-intercept, replace x with zero and solve for y

y = 2(0) + 3

y = 3

Therefore, the y-intercept is 3.

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Answer:

 A) 12 cm

 B) 520 cm² (just sides); 720 cm² (sides and base)

The value of the iterated integral using polar coordinates is π.

What is Polar Coordinates?

a polar coordinate system is a two-dimensional coordinate system in which each point in a plane is specified by a distance from a reference point and an angle from a reference direction. The reference point is called the pole, and the ray from the pole in the reference direction is the polar axis.

To evaluate the iterated integral ∫∫ e^(-x^2 - y^2) dy dx using polar coordinates, we need to convert the Cartesian coordinates (x, y) to polar coordinates (r, θ).

In polar coordinates, x = r cos(θ) and y = r sin(θ), where r represents the distance from the origin and θ represents the angle with the positive x-axis.

To convert the integral limits, we consider the region of integration. Since no limits are provided in your question, let's assume the integral is over the entire xy-plane.

In Cartesian coordinates, the entire xy-plane covers the range -∞ to +∞ for both x and y. In polar coordinates, this corresponds to the entire range of r from 0 to ∞ and the entire range of θ from 0 to 2π.

The Jacobian determinant for the conversion from Cartesian to polar coordinates is r, so we have dy dx = r dr dθ.

Now, let's express the integrand e^(-x^2 - y^2) in terms of polar coordinates:

e^(-x^2 - y^2) = e^(-(r cos(θ))^2 - (r sin(θ))^2)

= e^(-r^2(cos^2(θ) + sin^2(θ)))

= e^(-r^2)

Substituting the variables and the Jacobian into the original integral, we get:

∫∫ e^(-x^2 - y^2) dy dx

= ∫[0 to 2π] ∫[0 to ∞] e^(-r^2) (r dr) dθ

Now, we can evaluate this integral using polar coordinates. The inner integral with respect to r is a standard integral:

∫[0 to 2π] ∫[0 to ∞] e^(-r^2) (r dr) dθ

= ∫[0 to 2π] (-1/2) e^(-r^2) ∣∣[0 to ∞] dθ

= ∫[0 to 2π] (-1/2) (e^(-∞^2) - e^(0^2)) dθ

= ∫[0 to 2π] (-1/2) (0 - 1) dθ

= ∫[0 to 2π] (1/2) dθ

= (1/2) θ ∣∣[0 to 2π]

= (1/2) (2π - 0)

= π

Therefore, the value of the iterated integral using polar coordinates is π.

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The X-axis (horizontal axis) often represents a "class boundaries" of such an ogive, whereas the Y-axis (vertical axis) typically shows the frequency count.

A sort of frequency polygon that displays cumulative frequencies is an ogive, often known as a cumulative frequency polygon.

Thus, The X-axis (horizontal axis) often represents a class boundaries being measured of such an ogive.

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Circle

The symbol used to represent the transformation process in a DFD (Data Flow Diagram) is a circle. Therefore, the option (c) is correct.The DFD is a graphical representation of the data flow through an information system. It is used to represent and design systems analysis and information systems architecture of an organization. A DFD consists of various symbols that are used to represent the components of the system, such as processes, data flows, and data stores. Below are the details of all the options given in the question:Option (a) shows a small shaded triangle. This symbol is used to represent the flow of data from one place to another in a single direction.Option (b) shows two small solid lines arranged one above the other. This symbol is used to represent a document or report in the data flow.Option (d) shows a square. This symbol is used to represent a data store or a database.In summary, a circle is used to represent the transformation process in a DFD.

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154.3325 has two significant figures to maintain consistency with the original data.

To solve the given expression, we'll follow the order of operations (PEMDAS/BODMAS).

Multiply: 111 × 3.3447 = 370.398 (rounded to 3 significant figures).

Divide: 370.398 ÷ 2.4 = 154.3325 (rounded to 4 significant figures).

Significant figures are a way to express the precision of a measurement or calculation result. In this case, the original numbers (111, 3.3447, and 2.4) have varying significant figures.

To ensure the accuracy of the final answer, we round it to the same number of significant figures as the least precise value involved, which is 2.4 with two significant figures. Therefore, the answer, 154.3325 has two significant figures to maintain consistency with the original data.

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The required solution to the given equation for x using square roots is x = 5 or x = -1.

The quadratic equation is given as follows:

12-(x-2)² = 3

To solve the equation 12-(x-2)² = 3 using square roots, we need to isolate the squared term on one side of the equation and then take the square root of both sides.

We have:

12-(x-2)² = 3

-(x-2)² = -9

(x-2)² = 9

Apply the square root property in the equation,

x-2 = ±√9

x-2 = ±3

x = 2 ± 3

x = 5 or x = -1

Therefore, the solution for x using square roots is x = 5 or x = -1.

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The radius of convergence of the given series is infinity.

To find the radius of convergence, we use the ratio test, which involves computing the limit of the ratio of successive terms. Applying the ratio test to the given series, we get:

limit as n approaches infinity of [((n+1)!)^k/(k(n+1))!][k!/(n!)^k][x^(n+1)][(kn)!/k!][n!/(kn)!]*[x^n]

Simplifying the expression, we get:

limit as n approaches infinity of [(n+1)/(kx)]*|x|

Since the limit is infinity, the radius of convergence is infinity. This means that the series converges for all values of x.

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