You had dinner in a restaurant and the bill was $17.25. You gave the waitress $20 and told her to keep the change. What percentage of the bill was her tip?

To evaluate the function f(x) = (6x - 1)/(5x + 2) at the given values, we substitute those values into the function expression.So, the values of f(-3), f(2), f(-a), f(a), and f(a + h) are as follows:

f(-3) = 19/13 f(2) = 11/12 f(-a) = (-6a - 1)/(-5a + 2) f(a) = (6a - 1)/(5a + 2)

f(a + h) = (6a + 6h - 1)/(5a + 5h + 2)

1\(. f(-3):   Replace x with -3 in the function:   f(-3) = (6(-3) - 1)/(5(-3) + 2)         = (-18 - 1)/(-15 + 2)         = (-19)/(-13)         = 19/13\)

2\(. f(2):   Replace x with 2 in the function:   f(2) = (6(2) - 1)/(5(2) + 2)        = (12 - 1)/(10 + 2)        = 11/123. f(-a):   Replace x with -a in the function:   f(-a) = (6(-a) - 1)/(5(-a) + 2)         = (-6a - 1)/(-5a + 2)\)

4\(. f(a):   Replace x with a in the function:   f(a) = (6a - 1)/(5a + 2)5. f(a + h):  Replace x with (a + h) in the function:   f(a + h) = (6(a + h) - 1)/(5(a + h) + 2)            = (6a + 6h - 1)/(5a + 5h + 2)\)

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Answer:

42 seeds

Step-by-step explanation:

You would first divide 1,134 seeds by 27 rows. You would get 42 seeds per row, and that would be your answer.

Answer:

E

Step-by-step explanation:

Here’s a tree diagram that represents the total outcomes for selecting two stones by choosing a white stone first and a red stone second:

         Start

          |

          |

    ______|______

   |             |

   |             |

White 1       White 2

   |             |

   |             |

___|___       ___|___

|       |     |       |

|       |     |       |

Red 1   Red 2 Red 1   Red 2

There are two branches at the first level representing the two possible choices for the white stone. For each of these branches, there are two branches at the second level representing the two possible choices for the red stone. So there are a total of 2 * 2 = 4 possible outcomes: (White 1, Red 1), (White 1, Red 2), (White 2, Red 1), and (White 2, Red 2).

A. The arc length of y=13x^(3/2) on the interval [4,6] is given by the integral ∫[4,6]√(1+(39x)^(2/3))dx. The arc length of y=√(4x) on the interval [0,4] can be expressed as an integral, but it is unclear whether it converges or diverges.

A. The arc length of a function y=f(x) on the interval [a,b] is given by the formula ∫[a,b]√(1+(f'(x))^2)dx. For the function y=13x^(3/2) on the interval [4,6], the derivative is f'(x) = (39/2)x^(1/2). Substituting this into the arc length formula gives ∫[4,6]√(1+(39x)^(2/3))dx.

B. The arc length of y=√(4x) on the interval [0,4] can also be expressed as an integral using the arc length formula, which becomes ∫[0,4]√(1+(2/x)^2)dx. However, it is uncertain whether this integral converges or diverges without evaluating it. Further analysis is needed to determine its convergence.

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Answer:

8

Step-by-step explanation:

Answer:

there is a chance of 33.33% that she picks a song of 2min and 13sec

Answer:B.

Step-by-step explanation:

The actually answer is B. Equal to the likelihood of choosing a song that lasts 3 minutes 15 seconds

Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.

To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.

To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.

Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.

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Answer:

197.34

Step-by-step explanation:

-(-75.9 ) × 2.6

Answer:

-(-75.9)(2.6) = +197.34

Step-by-step explanation:

Find -xy, if x = -75.9 and y = 2.6.  Substitute -75.9 for x and 2.6 for y in -xy:

-(-75.9)(2.6) = +197.34

The conditions that must be met to use the normal approximation for the confidence level are np>5 and n(1-p)>5

Sampling Distribution: A sampling distribution is a probability distribution of a statistic that is obtained through repeated sampling of a specific population. It describes a range of possible outcomes for a statistic, such as the mean or mode of some variable, of a population.

Given that the sampling distribution of the population proportion is based on a binomial distribution.

The conditions that must be met to use the normal approximation for the confidence level are np>5 and n(1-p)>5

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The expected acceleration of an object is based on the acceleration due to gravity, which is a constant value of 9.8 m/s2. To calculate the expected acceleration, we use the equation: Expected acceleration = (5/7)gsin(θ), where θ is the angle at which the object is moving.

This equation takes into account the angle of the object and uses the acceleration due to gravity to calculate the expected acceleration. In this equation, the acceleration due to gravity is multiplied by a fraction, which is determined by the angle at which the object is moving. Therefore, the higher the angle at which the object is moving, the greater the expected acceleration.

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Answer:

9 cm

Step-by-step explanation:

L = 5+3W

P = 82

=> P = 2L + 2W

82 = 2(5+3W) +2W

82 = 10+6W+2W

82 = 10+8W

8W = 82-10

8W = 72

W = 72/8

W = 9

so, the width = 9 cm

p = 2L - 2W

82 = 2(5 + 3W) - 2W

82 = 10 + 16W - 2W

82 - 10 = 14W

72 = 14W

W \(\approx\) 5.14cm

Answer:

Its just a slide 2 up and 3 to the right it seems. It can be a mirror because in never changes the shape. as of rules i dont understand want you need please comment and ill let you know

Step-by-step explanation:

It is not a rotation, a mirror a flip or anything like that i think its only slides.

I didnt se this before every slide counts as 2 so its 4 up and 6 to the right

When you subtract any vector from itself, the result is a unique vector known as the zero vector. The zero vector is denoted as 0 and has a magnitude of 0. It has no direction and is often represented as a point in space.

In terms of vector addition, adding the zero vector to any vector doesn't change the original vector. This is because adding the zero vector is equivalent to not adding anything at all. So, the zero vector acts as the identity element for vector addition.

For example, if you add a vector v to the zero vector, you will get the vector v itself. Similarly, subtracting the zero vector from any vector also doesn't change the original vector. So, the zero vector is significant in vector algebra as it helps establish the properties of vector addition and subtraction.

Overall, the zero vector represents a unique vector with no magnitude or direction, and it plays a crucial role in vector operations.

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Answer:

pi r^2

Step-by-step explanation:

Take the radius and square it (multiply it by itself) and then multiply by pi (3.14)

Answer:

A = πr²

Step-by-step explanation:

The area of a circle is equal to A = πr²

π = 3.14159 ...

       -> it is a value that goes on forever, most calculators will have a button for this, it is called "Pi" or "π"

r = the radius

       -> this is the distance of half the width of the circle. You can see the parts of a circle attached

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Step-by-step explanation:

We have

\(e^\frac{x}{2}^l^n^3 = 5\\\)

\(ln(e^\frac{x}{2}^l^n^3) = ln(5)\\\frac{x}{2}ln(3) = ln(5)\\\frac{x}{2} = \frac{ln(5)}{ln(3)} \\x = \frac{2ln(5)}{ln(3)}\)

\(x = 2.929947041\)

to the third decimal is 2.930 (i might be wrong on the rounding part)

Answer:

Step-by-step explanation:

Let's calculate the volume of the tank per each meter in height.

The volume of a cylinder is πr²h, where h is the height.  

A height of 1 meter in a tank with a radius of 5 meters would hold a volume of:

Vol = (3.14)*(5 meters)^2 *(1 meter)

Vol (m^3) = 78.54 m^3 per 1 meter height.

If the tank were filled at a rate of 3 m^3/min, it would rise at at a rate of:

(78.54 m^3/meter)/(3 m^3/min) = 0.0382 meters/minute [38.2 cm/min

The values of a, b, c are 152°, 28°, 152° respectively.

Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.

The sum of angles at a point will give 360°.

This means that a + b + c + 28 = 360

c +28 = 180° ( angle on a straight line)

c = 180 -28

c = 152°

c = a( alternate angles are equal)

therefore the value of a = 152°

b = 28( alternate angles are equal)

therefore the value of b is 28

therefore the values of a, b, c are 152°, 28°, 152° respectively

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Answer:

0.5 in.

Step-by-step explanation:

Answer:

No, it is not a solution of the equation.

Step-by-step explanation:

x=-11, y=-284

14 · (-11)-129=-283

-283≠-284

By using trigonometry,

we have shown that tan(15°) = 2 - √3.

One of the most significant areas of mathematics, trigonometry has a wide range of applications. T

he study of the relationship between the sides and angles of the right-angle triangle is essentially the focus of the field of mathematics known as "trigonometry."

Hence, employing trigonometric formulas, functions, or trigonometric identities can be helpful in determining the missing or unknown angles or sides of a right triangle.

Angles in trigonometry can be expressed as either degrees or radians. 0°, 30°, 45°, 60°, and 90° are some of the trigonometric angles that are most frequently employed in computations.

We can use the half-angle formula for tangent to show that:

tan(15°) = tan(30°/2) = (1 - cos(30°)) / sin(30°)

We know that cos(30°) = √3/2 and sin(30°) = 1/2, so we can substitute those values in:

tan(15°) = (1 - √3/2) / 1/2

Simplifying the denominator and multiplying by the reciprocal:

tan(15°) = 2(1 - √3/2)

Simplifying the expression:

tan(15°) = 2 - √3

Therefore, we have shown that tan(15°) = 2 - √3.

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Answer:

72

Step-by-step explanation:

here's your solution

=> x= 8

=> y= -3

=> putting the value

=> 8*6 - (8*-3)

=> 48 + 24

=> 72

hope it helps

Hey there!

If x = 8 and y = -3, then SUBSTITUTE it into the equation

6(8) - 8(-3)

6(8) = 48

48 - 8(-3)

8(-3) = -24

48 - (-24)

- & - = +

48 + 24 = 72

Answer: 72

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

To be a function x can't repeat with a different y so in a every element of x is mapped to a different y so it is a function.

For choice B, -4 is paired with both 7 and 8 so it is not a function.

Choice C is a function since each x is paired with a different y.

Answer:

88 I think

Step-by-step explanation:

Well 3/5 of 220 is 132, so 132 of the students are girls and 88 of the students are boys because 220 - 132 = 88.

According to the arithmetic progression, the value of a4 is 75

Arithmetic progression:

An arithmetic progression (A.P.) is the sequence of numbers that has a fixed common difference between any two consecutive numbers.

Given,

Here we have the value of a1 = 5 And the function for arithmetic progression which is an = 2(an-1) +5

Now we need to find the value of a4.

To find the value of a4, we have to find the value of a2 and a3.

For that, we have to apply the given value into the function,

So, the value of a2 is calculated as,

a2 = 2 (a2 - 1) + 5

WE know that the value of a1 = 5, then the value of a2 is

a2 = 2 (a1) + 5

a2 = 2(5) + 5

a2 = 15

So, the value of s3 is

a3 = 2 (a3 - 1) + 5

a3 = 2(a2) + 5

a3 = 2(15) + 5

a3 = 35

Finally, the value of a4 is calculated as,

a4 = 2 (a4 - 1) + 5

a4 = 2(a3) + 5

a4 = 2(35) + 5

a4 = 75.

Therefore, the value of a4 is 75.

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Answer:

(f-g) (x) = 2x – 1 - log(x)

Step-by-step explanation:

f(x) = 2x – 1

g(x) = log x

We are given the two function and want to subtract g(x) from f(x)

(f-g) (x) = 2x – 1 - log(x)

Answer:

62 & 64 ............. .

Answer:

x + y ≥ 240

5x + 8y ≤ 1200

Step-by-step explanation:

Assume;

Number of chicken meals = x

Number of Beef meals = y

Total budget = $1200

Find:

Inequality

Computation:

Number of chicken meals + Number of Beef meals  ≥ Total students

x + y ≥ 240

Total cost = (Number of chicken meals)(Cost of chicken meal) + (Number of Beef meals)(Cost of beaf meal)

5x + 8y ≤ 1200

To determine the probability that a patient who tests positive for malignalitaloptereosis actually has the disease, we need to use the positive predictive value (PPV) formula:  PPV = true positives / (true positives + false positives)

In this case, we are given the sensitivity and specificity of the test, but we do not have information about the prevalence of the disease in the population being tested. Without knowing the prevalence, we cannot calculate the true positives or false positives and therefore cannot calculate the PPV. However, the information given only provides the sensitivity (0.92) and specificity (0.77) of the test. To calculate the PPV, we also need the prevalence of the disease in the population. Since the prevalence is not provided, there is not enough information given to determine the probability that a patient with a positive test result actually has the disease. Therefore, the correct answer is: Not enough information given.

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