What is 28.5 divided by 10 equal explain your answer 28.5 got at the top and 10 at the bottom PLEASE I ONLY HAVE 19 MINS TO TURN THIS IN. EXPLAIN YOUR ANSWER!

Answer: 1 tablespoon

Step-by-step explanation:

In essence, a function is a rule that assigns to each value of the input set (also known as the domain), a unique value of the output set (also known as the range).

A function is a fundamental mathematical concept that is used to describe the relationship between two sets of values.

To understand the idea of a function, imagine a machine that takes in an input and produces an output. The input values are the domain of the function, and the output values are the range. A function can be represented as an equation, a graph, or a table. For example, the equation f(x) = x + 3 represents a function that takes in an input value x and produces an output value that is 3 greater than the input value.

One of the key features of a function is that each input value must have a unique output value. This means that if you input the same value into the function twice, you should get the same output value both times. In mathematical terms, we say that a function is well-defined if it has a unique output value for each input value.

Functions are used in a wide range of mathematical applications, from algebra and calculus to statistics and data analysis. They provide a powerful tool for describing and analyzing relationships between different sets of values.

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Francesca needs 176 square inches of paint to cover the exterior faces of the jewelry box. To find the amount of paint needed to cover the exterior faces of the jewelry box

An L-shaped prism typically consists of three rectangular faces and two triangular faces. Let's break down the jewelry box into its individual components:

1. Rectangular face 1: Length = 6 in, Width = 7 in

2. Rectangular face 2: Length = 4 in, Width = 13 in

3. Rectangular face 3: Length = 4 in, Width = 10 in

4. Triangular face 1: Base = 6 in, Height = 4 in

5. Triangular face 2: Base = 6 in, Height = 10 in

Now, let's calculate the surface area of each face and sum them up to get the total surface area:

1. Surface area of rectangular face 1: 6 in * 7 in = 42 in²

2. Surface area of rectangular face 2: 4 in * 13 in = 52 in²

3. Surface area of rectangular face 3: 4 in * 10 in = 40 in²

4. Surface area of triangular face 1: (1/2) * 6 in * 4 in = 12 in²

5. Surface area of triangular face 2: (1/2) * 6 in * 10 in = 30 in²

Now, summing up all the surface areas:

Total surface area = 42 in² + 52 in² + 40 in² + 12 in² + 30 in²

Total surface area = 176 in²

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The fraction for the given situation is 7/3. Therefore, option D is the correct answer.

Given that, there are 7 apple pies.

3 people will share the pies equally.

Equal share of pie = Number of apple pies/Number of people

Equal share of pie = 7/3

So, the fraction is 7/3 of a whole

Therefore, option D is the correct answer.

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Answer:

F is 117 and E is 63

Step-by-step explanation:

supplementary angles are 2 angles that add up to 18 to solve this you need to subtract 54 from 180 you'll get 126 then divide it by 2 then you get 63 so that's E, and F would be 63 plus 54 and that's how you get 117.

The value of f(12) is 78, which means that the smallest number of trains that can be formed from a double 12 set of dominoes is 78.

The value of $f(12)$, which represents the smallest number of trains that can be formed from a double-12 set of dominoes, can be found using a formula.

In general, for a double-$n$ set of dominoes, the formula to find the minimum number of trains, $f(n)$, is given by:

$f(n) = \frac{n \cdot (n + 1)}{2}$

Substituting $n = 12$ into the formula,

we get:

$f(12) = \frac{12 \cdot (12 + 1)}{2}$

Simplifying the expression, we have:

$f(12) = \frac{12 \cdot 13}{2}$

$f(12) = \frac{156}{2}$

$f(12) = 78$

Therefore, the value of $f(12)$ is 78, which means that the smallest number of trains that can be formed from a double-12 set of dominoes is 78.

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The value of \($f(12)$\), which represents the smallest number of trains that can be formed from a double-\($n$\) set of dominoes, can be determined by using the formula:\($f(n) = \frac{n(n+1)}{4}$.\)

To find f(12), we substitute n with 12 in the formula:
\($f(12) = \frac{12(12+1)}{4} = \frac{12(13)}{4} = \frac{156}{4} = 39$\)

Therefore, \($f(12) = 39$\), meaning that the smallest number of trains that can be formed from a double-12 set of dominoes is 39.

Let's break down the formula to better understand how it works. In a double-n set of dominoes, there are n pairs of numbers from 0 to n-1. Each train consists of a sequence of dominoes, where each domino has two numbers. The goal is to use every domino exactly once in the trains.

The formula \($f(n) = \frac{n(n+1)}{4}$\) calculates the sum of the first n natural numbers, which corresponds to the number of dominoes in the set. Dividing this sum by 4 gives the minimum number of trains that can be formed.

For example, when \($n=6$, $f(6) = \frac{6(6+1)}{4} = \frac{42}{4} = 10.5$\). Since the number of trains must be a whole number, we round up to 11. Therefore, f(6)=11.

In summary, the formula \($f(n) = \frac{n(n+1)}{4}$\) gives the smallest number of trains that can be formed from a double-n set of dominoes. By substituting n with 12, we find that f(12)=39.

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The class width can be calculated by subtracting the lower-class limit from the upper-class limit.  By subtracting the lower-class limits from the upper-class limits gives us 10, 10, and 10so the class width is 10.

The class width can be calculated by subtracting the lower-class limit from the upper-class limit.

In this case, the lower-class limits are 40, 50, and 60, and the upper-class limits are 50, 60, and 70.

Subtracting the lower-class limits from the upper-class limits gives us 10, 10, and 10.

Therefore, the class width is 10.

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The class-width for this frequency distribution is 10. Each class interval spans 10 units.

The class-width refers to the size or width of each class interval in a frequency distribution. To find the class-width, you need to determine the range of the data and divide it by the number of classes.

In this case, the given frequency distribution includes three class intervals: 40 up to 50, 50 up to 60, and 60 up to 70. The range of the data can be found by subtracting the lower limit of the first class from the upper limit of the last class. So, the range is 70 - 40 = 30.

To find the class-width, divide the range by the number of classes. Since there are three classes, divide 30 by 3:

30 ÷ 3 = 10

In summary, the class-width for the given frequency distribution is 10. This means that each class interval covers a range of 10 units.

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The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

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Answer:

1922 = 2× 31 × 31

Therefore, 1922 should be divided by 2 to get 961 which is a square of 31.

I hope this helped!

\(\hspace{13em} \begin{array}{cll} term&value\\ \cline{1-2} a_5&16\\ a_6&16r\\ a_7&16rr\\ a_8&16rrr\\ a_9&16rrrr\\ a_{10}&16rrrrr=\frac{1}{2}\\ a_{11}&\frac{1}{2}r\\ a_{12}&\frac{1}{2}rr \end{array}~\hfill \\\\\\ 16r^5=\cfrac{1}{2}\implies r^5=\cfrac{1}{32}\implies r=\sqrt[5]{\cfrac{1}{32}}\implies r=\cfrac{1}{2} \\\\[-0.35em] ~\dotfill\\\\ a_{12}=\cfrac{1}{2}rr\implies a_{12}=\cfrac{1}{2}r^2\implies a_{12}=\cfrac{1}{2}\left( \cfrac{1}{2} \right)^2\implies a_{12}=\cfrac{1}{8}\)

Answer:

circle

Step-by-step explanation:

the answer is circle!!!

The diagonal cross-section of a basketball  is Circle.

When a plane cuts a sphere from any point on it, we get a circle. The size of the cross section may vary depending on the point of intersection of plane and sphere. If the plane passed through the center of sphere, then it divides the sphere into two equal parts (i.e. hemisphere).

According to the question

The diagonal cross-section of a basketball

as basketball is sphere in shape

And , The diagonal cross-section of a sphere  is Circle.

Hence, The diagonal cross-section of a basketball  is Circle.

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Answer:

True

Step-by-step explanation:

This is true if you look at the hundredths value. 7 is greater than 5, therefore 19.67 is greater than 19.657. To simplify it, you can look at it as 19.67 > 19.65 (say we omit the 7).

The standard deviation of the population is approximately 6.78 years.

We can use the formula below to determine a population's standard deviation:

The Standard Deviation () is equal to (x-2)2 / N, where:

The sum of, x, each individual value in the population, the mean (average) of the population, and the total number of values in the population are all represented by

The six employees' ages are as follows: 46, 30, 27, 25, 31, 33

To start with, we compute the mean (μ) of the populace:

= (46 + 30 + 27 + 25 + 31 + 33) / 6 = 192 / 6 = 32 The values are then entered into the standard deviation formula as follows:

= (46 - 32)2 + (30 - 32)2 + (27 - 32)2 + (25 - 32)2 + (31 - 32)2 + (33 - 32)2) / 6 = (142 + (-2)2 + (-5)2 + (-1)2 + 12) / 6 = (196 + 4 + 25 + 49 + 1 + 1) / 6 = (46)  6.78, which indicates that the population's standard deviation is approximately 6.78

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An equivalent expression with the rational denominator is,\((-8x+5)^ {\frac{-1}{2}}\).Option A is correct from the drop-down menu.

Fraction simplification is a method of fraction reduction that entails making a fraction as simple as possible.

This is accomplished by dividing the numerator and denominator by the biggest integer that divides both integers exactly.

A fraction is consist of the form p/q

Where,

P is the numerator and q is denominator

An equivalent expression with the rational denominator is,\((-8x+5)^ {\frac{-1}{2}}\).

Hence option A is correct.

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Answer:

see below

Step-by-step explanation:

growth because 5/4 = 1.25 >1

Answer:

Step-by-step explanation:

equation given:   a - 2(4 - a) = 7a - 12

distribute and expand the equation

a - 8 + 2a = 7a - 12

combine similar terms:

a + 2a - 7a = -12 + 8

simplify:

-4a = -4

a = -4 / -4

proof that a = 1

a - 2(4 - a) = 7a - 12

1 - 2(4 - 1) = 7(1) - 12

1 - 2(3) = 7 - 12

1 - 6 = -5

-5 = -5  therefore, the a = 1 is correct.

Steps to solve:

a - 2(4 - a) = 7a - 12

~Distribute left side

a - 8 - 2a = 7a - 12

~Combine like terms on the left side

-a - 8 = 7a - 12

~Add 8 to both sides

-a = 7a - 4

~Subtract 7a to both sides

-8a = -4

~Divide -8 to both sides

a = 1/2

Best of Luck!

Answer:

7 1/2

Step-by-step explanation:

a) Radicand is 1/4

b) x= 4.5 or -2.5

A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 .

Given equation is:

16x²-8x+1=0

Now,

(4x)²-2*4x*1 + (1)²=0

Using

(a+b)²= a² + 2ab + b²

So,

(4x)²-2*4x*1 + (1)² = (4x+1)²

x=1/4

b) 4x² - 8x - 45 = 0

Using discriminant method

D = √[(-8)² - 4(4)(-45)]

   = √784

   = 28

Now, x = (1/8)[8 +/- 28]

  = (1/8)(36) = 4.5

or, x = (1/8)(-20)

 = -2.5

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The forward Fourier Transform formula for a signal is X(jω) = F{x(t)}. The inverse Fourier Transform formula is x(t) = F^(-1){X(jω)}. The two formulas are related by the Fourier Transform property called duality or symmetry.

1. The forward Fourier Transform formula is given by:

  X(jω) = ∫[x(t) * e^(-jωt)] dt

  This formula calculates the complex spectrum X(jω) of a signal x(t) by integrating the product of the signal and a complex exponential function.

2. The inverse Fourier Transform formula is given by:

  x(t) = (1/2π) ∫[X(jω) * e^(jωt)] dω

  This formula reconstructs the original signal x(t) from its complex spectrum X(jω) by integrating the product of the spectrum and a complex exponential function.

  The similarity between these two formulas is known as the Fourier Transform property of duality or symmetry. It states that the Fourier Transform pair (X(jω), x(t)) has a symmetric relationship in the frequency and time domains. The forward transform calculates the spectrum, while the inverse transform recovers the original signal. The duality property indicates that if the spectrum is known, the inverse transform can reconstruct the original signal, and vice versa.

3. To determine the Fourier Transform of the given signal x(t) = [-1, 1, 0, -1], we apply the defining integral:

  X(jω) = ∫[-1 * e^(-jωt1) + 1 * e^(-jωt2) + 0 * e^(-jωt3) - 1 * e^(-jωt4)] dt

  Here, t1, t2, t3, t4 represent the respective time instants for each element of the signal.

  Substituting the time values and performing the integration, we can obtain the Fourier Transform of x(t).

Note: Please note that without specific values for t1, t2, t3, and t4, we cannot provide the numerical result of the Fourier Transform for the given signal. The final answer will depend on these time instants.

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Answer:

  6 km/h

Step-by-step explanation:

You want to know the speed of the stream if it takes a boat an hour longer to travel 24 km upstream than the same distance downstream, when the boat travels 18 km/h relative to the water.

The relation between time, speed, and distance is ...

  t = d/s

The speed of the current subtracts from the boat speed going upstream, and adds to the boat speed going downstream.

The time relation for the two trips is ...

  24/(18 -c) = 24/(18 +c) +1 . . . . . . where c is the speed of the current

Subtracting the right side expression from both sides, we have ...

  \(\dfrac{24}{18-c}-\dfrac{24}{18+c}-1=0\\\\\dfrac{24(18+c)-24(18-c)-(18+c)(18-c)}{(18+c)(18-c)}=0\\\\48c-(18^2-c^2)=0\\\\c^2+48c-324=0\\\\(c+54)(c-6)=0\\\\c=\{-54,6\}\)

The solutions to the equation are the values of c that make the factors zero. We are only interested in positive current speeds that are less than the boat speed.

The speed of the current is 6 km/h.

__

Additional comment

It takes the boat 2 hours to go upstream 24 km, and 1 hour to return.

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The speed of the stream is 6 km/h.

Let's assume the speed of the stream is "s" km/h.

When the boat is traveling upstream (against the stream), its effective speed is reduced by the speed of the stream. So, the speed of the boat relative to the ground is (18 - s) km/h.

When the boat is traveling downstream (with the stream), its effective speed is increased by the speed of the stream. So, the speed of the boat relative to the ground is (18 + s) km/h.

We are given that the boat takes 1 hour more to go 24 km upstream than to return downstream to the same spot. This can be expressed as an equation:

Time taken to go upstream = Time taken to go downstream + 1 hour

Distance / Speed = Distance / Speed + 1

24 / (18 - s) = 24 / (18 + s) + 1

Now, let's solve this equation to find the value of "s", the speed of the stream.

Cross-multiplying:

24(18 + s) = 24(18 - s) + (18 + s)(18 - s)

432 + 24s = 432 - 24s + 324 - s^2

48s = -324 - s^2

s^2 + 48s - 324 = 0

Now we can solve this quadratic equation for "s" using factoring, completing the square, or the quadratic formula.

Using the quadratic formula: s = (-48 ± √(48^2 - 4(-324)) / 2

s = (-48 ± √(2304 + 1296)) / 2

s = (-48 ± √(3600)) / 2

s = (-48 ± 60) / 2

Taking the positive root since the speed of the stream cannot be negative:

s = (-48 + 60) / 2

s = 12 / 2

s = 6 km/h

As a result, the stream is moving at a speed of 6 km/h.

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Answer:

Step-by-step explanation:

The experimental probability of choosing Grace is 13.6% (17/125*100)

The theoretical probability of choosing Grace is 16.67% (1/6)

Each probability would change because they depend on the data set so if the data set changes, that means the probability will also change depending on the amount it changes.

Answer:

\(f(x) = 3x - 1 \\ g(x) = {x}^{2} + 1 \\ (f + g)(x) ={ x}^{2} + 1 + 3x - 1 \\ (f + g)(x) ={ x}^{2} + 3x \\ (f + g)(3) ={ 3}^{2} + 3(3) = 9 + 9 \\ \boxed{(f + g)(3) =18}\)

Buonaccorsi's paper provides insights into confidence intervals for proportions in finite populations, and emphasizes the significance of accounting for the population size in such calculations.

John P. Buonaccorsi's 1987 paper, "A Note on Confidence Intervals for Proportions in Finite Populations," discusses confidence intervals for proportions in finite populations.

In this paper, Buonaccorsi explores the concept of estimating proportions in a population using confidence intervals. He highlights the importance of considering finite populations, as opposed to infinite populations, when calculating these intervals.

Buonaccorsi provides a detailed explanation of the methodology for constructing confidence intervals for proportions in finite populations. He emphasizes the need to take into account the population size when determining the appropriate sample size and level of confidence.

With proper conclusion, Buonaccorsi concludes that confidence intervals for proportions in finite populations can be accurately estimated by considering the population size and using appropriate statistical techniques.

In summary, Buonaccorsi's paper provides insights into confidence intervals for proportions in finite populations, and emphasizes the significance of accounting for the population size in such calculations.

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The integral along the actual process path will not accurately represent the maximum possible entropy change for the system.

To determine the entropy change for an irreversible process between states 1 and 2, the integral ∫1 2 δq/t should be performed along an imaginary reversible path. This is because entropy is a state function and is independent of the path taken to reach a particular state. Therefore, the entropy change between two states will be the same regardless of whether the process is reversible or irreversible.

However, performing the integral along an imaginary reversible path will give a more accurate measure of the entropy change as it represents the maximum possible work that could have been obtained from the system. In contrast, an irreversible process will always result in a lower amount of work being obtained due to losses from friction, heat transfer to the surroundings, and other factors.

Therefore, performing the integral along the actual process path will not accurately represent the maximum possible entropy change for the system.

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Answer:

9

Step-by-step explanation:

x = 1

y = 4

x + 2y = 1 + 8 = 9

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

9

Step-by-step explanation:

x + 2y

subtitute:

1 + 2(4)

simplify:

1 + 8 = 9

Average speed for the whole journey = 53.67 miles per hour.

What is Speed?

A scalar quantity, speed is defined as the size of the change in an object's location over time or the size of the change in an object's position per unit of time.

The Average speed:-

"The average speed of any object is the total distance traveled by that object divided by the total time elapsed to cover the said distance".

= total distance/total time

According  to the Question

We have;

-------> ALEX drove for 3 hours at a rate of 60 miles per hour.

-------> and ALEX drove for 2 hours at a rate of 45 miles per hour.

We know that;

speed = distance/ time

Now we can write it as;

distance = speed *time

Consider the first statement of the Question;

-------> John drove for 3 hours at a rate of 60 miles per hour.

Here, speed = 60 miles per hour.

Time = 3 hours.

Putting in the above then we get;

distance = 60*3

distance =180

Consider the second statement of the Question;

-------> John drove for 2 hours at a rate of 45 miles per hour.

Here, speed = 45 miles per hour.

Time = 2 hours.

Putting in the above then we get;

distance = 45*2

distance =90

-----> Now find the Average speed of John.

We have;

The distance in the first part;

miles. at time 3 hours.

The distance in the second part;

miles. at time 2 hours.

We have;

The average speed = 53.67 miles per hour

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Answer:

\(f(x) = {x}^{2} - 13x + 30\)

Step-by-step explanation:

A quadratic equation may be expressed as a product of the two binomials. The roots of the equations are 3 and 10, so the factors are (x-3) and (x-10).

f(x) = (x-3)(x-10)

f(x) = x^2 - 13x + 30