5.125
Express that as a common fraction
please​

After solving, the height in feet of the sixth bounce is 1.892 feet.

In the given question, we ave to find the height, in feet, of the sixth bounce.

From the given question,

Height on the first bounce = 6.7

Subsequent bounce reaches a height of the previous bounce = 81%

Suppose the height is h.

So according to the question:

h(6) = height on the first bounce*(subsequent bounce reaches a height of the previous bounce)^6

h(6) = 6.7*(81%)^6

h(6) = 1.892 feet

So the height of sixth bounce is 1.892 feet.

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Answer:

0.1%

Step-by-step explanation:

0.1%

Answer:

No solution.

Step-by-step explanation:

Then the equation has no solution.

For example

2x - 2 = 2x + 1

-2x - 2x

-2 = 1.

___________________________________________

Brainliest?

Answer:

-9 + 21 = t t = 12°C.

Step-by-step explanation:

For this problem lets have t be equal to the original temperature in the beginning of the day. The equation -9 + 21 = t represents this situation because it states that if we add the degrees that dropped to the current degrees  it will give us our original degrees. Solve. -9 + 21 = t (Simply add -9 + 21) -9 + 21 = (+12) 12 = t So, the original degrees in the beginning of the day was 12°C.

Given:

Consider the given function is

\(y=|8x-3|-3\)

To find:

The vertex , axis of symmetry, and transformations of the parent function?

Solution:

We have,

\(y=|8x-3|-3\)

\(y=\left|8\left(x-\dfrac{3}{8}\right)\right|-3\)

\(y=8\left|x-\dfrac{3}{8}\right|-3\)      ...(i)

It is an absolute function.

The vertex form of an absolute function is

\(y=a|x-h|+k\)       ...(ii)

where, a is a constant, (h,k) is vertex and x=h is axis of symmetry.

From (i) and (ii), we get

\(a=8,h=\dfrac{3}{8},k=-3\)

So,

\(\text{Vertex}:(h,k)=\left(\dfrac{3}{8},-3\right)\)

\(\text{Axis of symmetry}:x=\dfrac{3}{8}\)

Parent function of an absolute function is

\(y=|x|\)

Since, a=8 therefore, parent function vertically stretched by factor 8.

\(h=\dfrac{3}{8}>0\), so the function shifts \(\dfrac{3}{8}\) unit right.

k=-3<0, so the function shifts 3 units down.

Therefore, the vertex is \(\left(\dfrac{3}{8},-3\right)\) and Axis of symmetry is \(x=\dfrac{3}{8}\). The parent function vertically stretched by factor 8, shifts \(\dfrac{3}{8}\) unit right and  3 units down.

Answer and Step-by-step explanation:

We are trying to solve for p in the equation p = \(\sqrt{4p}\) + 5.

First, subtract the 5 from both sides of the equation.

p - 5 = \(\sqrt{4p}\) + 5 - 5

p - 5 = \(\sqrt{4p}\)

Second, to make things easier for ourselves, we need to square both sides of the equation to get rid of the square root.

\((p-5)^2\) = \((\sqrt{4p})^2\)

\(p^2 - 10p + 25 = 4p\)

Now, subtract 4p from both sides of the equation.

\(p^2 - 10p + 25 - 4p = 4p - 4p\)

\(p^2 - 14p + 25 = 0\)

Now, we plug these values into the Quadratic Equation formula,

The Quadratic Equation formula is as follows: \(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)

Where:

x will equal p

a will equal the coefficient of the first term of the equation (the first term is \(p^{2}\) and the coefficient is 1)

b will equal the coefficient of the second term of the equation (the second term is -10p and the coefficient is -10)

c will equal the coefficient of the third term of the equation (the third term is 25 and the coefficient is 25)

Plug all the terms into the quadratic equation.

\(p = \frac{-(-14) \pm\sqrt{(-14)^2-4(1)(25)} }{2(1)} \\\\p = 7+\sqrt{196-100}/2 , 7-\sqrt{196-100} /2\\\\p = 7 + \sqrt{96}/2 ,7-\sqrt{96} /2\\\\\\p=7+2\sqrt{6} ,7-2\sqrt{6}\)

So, the answer is both:

\(p=7+2\sqrt{6} ,7-2\sqrt{6}\).

Have a good day!

Step-by-step explanation:

\(\bf 3\sqrt{8} -\sqrt{50} +2\sqrt{18} =\)

\(\bf 3\sqrt{2^{3}} -\sqrt{2\cdot5^{2}} +2\sqrt{2\cdot3^{2}} =\)

\(\bf 3\cdot 2\sqrt{2} -5\sqrt{2} +2\cdot3\sqrt{2} =\)

\(\bf 6\sqrt{2} -5\sqrt{2} +6\sqrt{2} =\)

\(\bf 12\sqrt{2} -5\sqrt{2} =\green{\underline{~7\sqrt{2}~}}\)

__________________

\(\bf \sqrt{12} -\sqrt{27} +2\sqrt{75} =\)

\(\bf \sqrt{2^{2}\cdot3} -\sqrt{3^{3}} +2\sqrt{3\cdot5^{2}} =\)

\(\bf 2\sqrt{3} -3\sqrt{3} +2\cdot5\sqrt{3} =\)

\(\bf 2\sqrt{3} -3\sqrt{3} +10\sqrt{3} =\)

\(\bf 12\sqrt{3} -3\sqrt{3}=\blue{\underline{~9\sqrt{3}~}}\)

\(==SalmonWorldTopper==\)

Answer:

(0,24)

Step-by-step explanation:

Answer: First, simplify the expression by distributing the parentheses: y = 2x^2 + 16x - 24 Then, expand the equation: y = 2x^2 + 16x - 3x - 24 Finally, combine the terms: y = 2x^2 + 13x - 24.

Answer:

Step-by-step explanation:

vertical line is parallel to y-axis so its equation is always  x = x₀

at any given point we have coordinates: (x₀, y₀)

given point (-4, 7) means  x₀ = -4

so the equation of a vertical line passing through the point (-4, 7) is x=-4

The probability of winning with 10 tickets in one raffle is 100 times greater than the probability of winning with one ticket in 10 different raffles. This means that buying 10 tickets in one raffle is the best way to maximize your chances of winning something.

Buying ten tickets in one raffle will give you a greater chance of winning the prize than buying one ticket in ten different raffles. In the first scenario, you have a 10% chance of winning the prize (10 tickets out of 100 total tickets). In the second scenario, your chances are only 1% (1 ticket out of 100 tickets in each raffle).

Mathematically, this can be expressed as the probability of winning with 10 tickets in one raffle (P1): P1 = 10/100 = 0.1

The probability of winning with one ticket in 10 different raffles (P2): P2 = (1/100)^10 = (0.01)^10 = 1/10,000 = 0.0001

Therefore, the probability of winning with 10 tickets in one raffle is 100 times greater than the probability of winning with one ticket in 10 different raffles. This means that buying 10 tickets in one raffle is the best way to maximize your chances of winning something.

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Answer:

352 quintillion gallon milk jugs

Step-by-step explanation:

Answer:

The answer is 17

Step-by-step explanation:

Now, Evaluate

a² – 4b + 2c

(1)² – 4(-3) + 2(2)

1 + 12 + 4 = 17

Thus, The value is 17

-TheUnknownScientist 72

The power series expansion of f(x) = ln(1 + x²) about a=0 can be found using geometric series, differentiation, and integration of power series. The expansion is given by:

ln(1 + x²) = x² - (1/2)x⁴ + (1/3)x⁶ - (1/4)x⁸ + ...

To find the power series expansion, we start by considering the geometric series expansion of ln(1 + x). Using the formula for the sum of an infinite geometric series, we have:

ln(1 + x) = x - (1/2)x² + (1/3)x³ - (1/4)x⁴ + ...

Now, we substitute x² for x in the above series to get the power series expansion for ln(1 + x²):

ln(1 + x²) = x² - (1/2)(x²)² + (1/3)(x²)³ - (1/4)(x²)⁴ + ...

Simplifying the terms, we have:

ln(1 + x²) = x² - (1/2)x² + (1/3)x⁶  - (1/4)x⁸ + ...

The interval of convergence for this power series expansion is -1 < x < 1, which means the expansion is valid for values of x within this interval. The radius of convergence is 1, which indicates that the series converges absolutely for values of x within the interval -1 < x < 1.

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No, lecture notes collected during a bachelor degree study are not a type of date. Lecture notes are a collection of the notes taken by a student during the lectures in the course of their bachelor degree study.

They are not the same as dates, which are the specified days on which something happens or is planned to happen. Lecture notes are usually written in the form of summaries of a lecture, which are usually made up of the important points that the student has noted down during the lecture.

They may also include diagrams, equations, and other visual aids that the student has used to illustrate the material covered. Lecture notes are not the same as dates, as they are not related to any specified days. They are simply summaries of the lecture topics discussed by the professor in the course of the student’s bachelor degree study.

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Answer:

17 22 34 39 42 45 47 47 48 54

Step-by-step explanation:

simple order of numbers :)

We will get  \(61/75\), when 6(1/6) is divided by 7(5/6)

The usually written symbol for division is (÷). The "/" (slash) symbol is used in spreadsheets and other computer applications.

Division is the opposite of multiplication in mathematics.

The division is often considered the most difficult of the four main arithmetic operations. This page explains how to perform division calculations. Once we have a good understanding of the method and rules, we can use the calculator for more complex calculations without making mistakes.

For example, consider how we would find the answer to \(10 / 2\) (ten divided by two). This is the same as "split" \(10\)sweets between \(2\) children. Both children must end up with the same number of candies. In this example, the answer is \(5\).

Hence when \(61/6\) is divided by \(75/6\) it means \((61/6)/(75/6)\)

in which \(6\) cancels the \(6\).

The final answer will be \(61/75\)

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The absolute function f(x) = 4x+5 as a piecewise-defined function is:

f(x) = { -4x-5   ,   x<-5/4

           4x+5   ,   x ≥-5/4 }

Given, the absolute function  f(x) = 4x+5

The fundamental tenet of piecewise linear regression is that we should construct the regression function in "pieces" if the data exhibit various linear trends over various parts of the data. The components may or may not be joined.

when  4x+5 < 0

4x < -5

x < -5/4

f(x) = -(4x+5) = -4x-5

when 4x+5 ≥ 0

4x ≥ -5

x ≥ -5/4

f(x) = 4x+5

so f(x) =  { -4x-5   ,   x<-5/4

                4x+5   ,   x ≥-5/4 }

since, I x I =  { -x   ,   x<0

                        x    ,   x ≥0}

Therefore, we get the required piecewise-defined function with linear parts.

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Introduced in Florence in the early fifteenth century, the practice of creating the illusion of three-dimensional space on a two-dimensional surface using a mathematical formula is called linear perspective.

Linear perspective is a technique in art that involves using mathematical principles to create the illusion of depth and space on a flat surface. It relies on the concept that parallel lines appear to converge at a vanishing point on the horizon line. Artists use this knowledge to accurately depict spatial relationships and create realistic representations of three-dimensional objects in a two-dimensional artwork.

the practice of creating the illusion of three-dimensional space on a two-dimensional surface using a mathematical formula is known as linear perspective. It revolutionized the art world during the early fifteenth century and has since become a fundamental technique in creating realistic and lifelike artworks.

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Answer:

The answer is d

Step-by-step explanation:

simplyfied into the simpiliest form possible

The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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The required value of the given function  f(a) = -2a^2 - 5a + 4 at a = -3 is 1

Function is characterized as a connection between a bunch of data sources having one result each. In straightforward words, a capability is a connection between inputs where each info is connected with precisely one result. Each Function has a domain and co-domain or range. A capability is by and large meant by f(x) where x is the information.

Function, f(a) = -2a^2 - 5a + 4

To find value of f(-3),

f(a) = -2a^2 - 5a + 4

Put a = -3 in th function

F(-3) = -2(-3)^2-5×-3+4

F(-3) = -18+15+4=1

F(-3) = 1

Thus, required value of f(-3) is 1

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Coorect Question:

What is f(-3) for the function f(a) = -2a2 - 5a + 4?

The value of  g(x) = 2x² - 4, when g(-2) = 4

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

g(x) = 2x² - 4

The above function is a quadratic function.

The solution of when g(-2):

Substituting the value of x = -2

 g(x) = 2x² - 4

g(x) = 2(-2)² - 4

g(x) = 8 - 4

g(x) = 4

Therefore, the value of g(-2) = 4.

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Answer:

see below (I hope this helps!)

Step-by-step explanation:

We can split this into 2 cases:

3x + 2 > 9 or -(3x + 2) > 9

3x > 7 or 3x + 2 < -9

x > 7/3 or x < -11/3

Answer:

9.02

Step-by-step explanation:

67/32 = 9.02

Bro my question was reported FOR NO REASON. I was asking about trigonometry.

The consecutive integers such 4 that times the smaller integer is 50 less than 6 times the larger integer are 22 and 23.

Let the consecutive integers be x and x + 1.

In this case, the integers are such 4 that times the smaller integer is 50 less than 6 times the larger integer.

This will be:

4(x) = 6(x + 1) - 50

4x = 6x + 6 - 50

Collect like terms

4x - 6x = -44

-2x = -44

Divide

x = 44/2

x = 22

Also, x + 1 = 22 + 1 = 23

The numbers are 22 and 23.

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B. This quantity might be the optimal order quantity, but we also need to consider the company’s attitude toward risk.

Simulation models are useful tools for predicting the outcomes of different scenarios, but they are not always accurate representations of reality. Running a simulation model several times with different order quantities can give an indication of the order quantity that maximizes the output, but it does not guarantee that this is the optimal order quantity.

There are many factors that can affect the outcome of a simulation model, such as the model's assumptions, limitations, and inputs. Additionally, simulation models are subject to randomness and variability, so the results of different runs may vary.

For this reason, it is important to consider other factors, such as the company's attitude toward risk, when making decisions based on the results of a simulation model. The company's attitude toward risk can influence the choice of order quantity and affect the overall outcome of the simulation.

Therefore, while the order quantity that maximizes the output in a simulation model might be a good starting point, it is not necessarily the optimal order quantity. Further analysis and consideration of other factors is necessary to determine the best order quantity for the company.

A ratio is a mathematical expression that compares the relative size of two or more values. It is a way of expressing the relationship between two or more quantities in terms of their relative size.

A ratio can be expressed in different ways, such as a fraction, decimal, or percentage. For example, the ratio of 2 to 4 can be expressed as 2/4, 0.5, or 50%.

Ratios are used in many areas of mathematics and science, such as finance, economics, engineering, and physics, to describe and analyze relationships between quantities. For example, in finance, ratios are used to measure a company's financial performance, such as its profitability, liquidity, and debt-to-equity ratios. In engineering, ratios are used to describe the relationship between the size and power of a machine, such as the gear ratio in a car's transmission.

In general, ratios are useful for comparing quantities and understanding the relationships between them, and they play a key role in many aspects of mathematics and science.

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Answer:

D

Step-by-step explanation:

Sin(x)=25/35=5/7

=> x = 45.6

A prime factorization is finding the prime factors of a number to get a product.

A factor is a quantity which is being multiplied by other quantities. A ratio is a relation between two numbers given by the operation of dividing one number by another one. A common factor is a number which is factor of two or more numbers.

Therefore, the correct option is prime factorization.

Answer:

12 r 23

Step-by-step explanation:

for me how I got it was basically by dividing 515 by 41 or by seeing how many time 41 can go into 515

Answer:

12.560976  and the .560976's repeat over and over, so there should be a repeating bar over those numbers

Step-by-step explanation:

Answer:

a=2

Step-by-step explanation:

subtract 10 from both sides

2a^3=26-10

simplify

2a^3=16

Divivde both side by 2

a^2=16/2

simplify

a^3=8