Express 0.625 as a fraction in its

simplest form.

Answer:

47.56 $

Step-by-step explanation:

I plugged it in my calc

Answer:

Minutes  Calories

50                    350

100                   700

150                   1050

200                  1400

The domain values are

50, 100, 150, 200

The domain is minutes bicycling

.

The range values are

350, 700, 1050, 1400

The range is the calories burned

.

This relation is a function. Each domain value is paired with exactly one range value

Step-by-step explanation:

Since the person burns 7 calories per minute, multiply the number of minutes by 7 to find the range.

Answer:

(9,22)

Step-by-step explanation:

1/3 of 9= 3

3+19=22

Answer:

A sample is a subset of the population.

Answer:

15/21

i dont know if if you want it to be simplifed

Step-by-step explanation:

Answer:

3.25×2= 6.50

3.25×3=9.75

3.25×15= 48.75

3.25×23= 74.75

he will run out of money after renting 74 games.

In the event that linear regression is required, we have two options: (1) change the delay column 2) ignore them.

A variable's value can be predicted using linear regression analysis based on the value of another variable. The dependent variable is the one you want to be able to forecast. The independent variable is the one you're using to make a prediction about the value of the other variable.

Given,

You want to run a regression to predict the probability of a flight delay, but there are flights with delays of up to 12 hours that are really messing up your model.

I immediately think of grouping delays into ranges such as those under 40 minutes, those between 40 minutes and 2 hours, those between 2 hours and 10 hours, and those above 10 hours. But doing so requires the use of a classification model, such as logistic regression. We frequently consider whether there will be a delay rather than how long it might last when thinking about delays. In the event that linear regression is required, we have two options: (1) change the delay column 2) ignore them.

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Answer:

A.

Step-by-step explanation: By looking at the image it shows 2 not 4.

The only option that explains the mistake Jill made in the model is;

Option A; Jill used 3 groups of 3 tenths and 2 hundredths rather than 4 groups.

Now, this means she wants to divide 1.28 into 4 equal parts. Thus, the model must show 4 identical quotients.

The image of the model we are seeing from Jill is showing;

3 groups of 3 tenths and 2 hundredths.

Since it is showing 3 groups instead of 4 groups, the it is clear that Jill made a mistake in her model.

In conclusion, the only option that identifies the mistake correctly is option A.

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Answer:

\(= \frac{2m^2n^8}{3}\)

Step-by-step explanation:

Given expression is

\((\frac{4m^{-2}n^8}{9m^{-6}n^{-8}} )^{\frac{1}{2}\)

The correct simplified form is shown below:-

From the above equation, we will simplify

we will shift \(m^{-6}\) to the numerator and we will use the negative exponent rule, that is

\(= (\frac{4m^{-2}n^8m^6}{9n^{-8}} )^{\frac{1}{2}\)

now we will shift the \(n^{-8}\) to the numerator and we will use the negative exponent rule, that is

\(= (\frac{4m^{-2}n^8m^6n^8}{9} )^{\frac{1}{2}\)

here we will solve the above equation which is shown below

\(= (\frac{4m^4n^{16}}{9}) ^\frac{1}{2}\)

So,

\(= (\frac{(2)^2(m^2)^2(n^8)^2}{(3)^2} ^\frac{1}{2}\)

Which gives result

\(= \frac{2m^2n^8}{3}\)

In conclusion, the average rates of change for the given functions are:
1. 8
2. -32
3. 2
4. -12
5. 1
6. 12
7. -2
8. Calculation depends on the exact value of e.

To find the average rate of change for each function, we will use the formula: (f(x2) - f(x1)) / (x2 - x1).
1. For f(x) = x^2 + 2x between x = 0 and x = 6:
  - Plug in x = 6: f(6) = 6^2 + 2(6) = 36 + 12 = 48
  - Plug in x = 0: f(0) = 0^2 + 2(0) = 0
  - Average rate of change = (48 - 0) / (6 - 0) = 48 / 6 = 8
2. For f(x) = -4x^2 - 6 between x = 1 and x = 7:
  - Plug in x = 7: f(7) = -4(7)^2 - 6 = -196 - 6 = -202
  - Plug in x = 1: f(1) = -4(1)^2 - 6 = -4 - 6 = -10
  - Average rate of change = (-202 - (-10)) / (7 - 1) = -192 / 6 = -32
3. For f(x) = 2x^3 - 4x^2 + 6 between x = -1 and x = 2:
  - Plug in x = 2: f(2) = 2(2)^3 - 4(2)^2 + 6 = 16 - 16 + 6 = 6
  - Plug in x = -1: f(-1) = 2(-1)^3 - 4(-1)^2 + 6 = -2 - 4 + 6 = 0
  - Average rate of change = (6 - 0) / (2 - (-1)) = 6 / 3 = 2
4. For f(x) = -3x^3 + 2x^2 - 4x + 2 between x = 0 and x = 2:
  - Plug in x = 2: f(2) = -3(2)^3 + 2(2)^2 - 4(2) + 2 = -24 + 8 - 8 + 2 = -22
  - Plug in x = 0: f(0) = -3(0)^3 + 2(0)^2 - 4(0) + 2 = 2
  - Average rate of change = (-22 - 2) / (2 - 0) = -24 / 2 = -12
5. For f(x) = x between x = 1 and x = 9:
  - Average rate of change = (9 - 1) / (9 - 1) = 8 / 8 = 1
6. For f(x) = 3x - 2 between x = 2 and x = 6:
  - Average rate of change = (3(6) - 2) - (3(2) - 2) = 16 - 4 = 12
7. For f(x) = x - 1 between x = -2 and x = 0:
  - Average rate of change = ((-2) - 1) - (0 - 1) = -3 + 1 = -2
8. For f(x) = 0.4525e^(1.556x) between x = 4 and x = 4.5:
  - Average rate of change = (0.4525e^(1.556(4.5))) - (0.4525e^(1.556(4))) = 0.4525e^(7.002) - 0.4525e^(6.224) [calculations depend on the exact value of e]
In conclusion, the average rates of change for the given functions are:
1. 8
2. -32
3. 2
4. -12
5. 1
6. 12
7. -2
8. Calculation depends on the exact value of e.

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The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

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

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

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

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

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

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

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

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

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

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

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

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

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

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

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

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

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

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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Answer:

L^2 = area of square = As

As = 14 L H / 2      where L H /2 = area of triangle

L^2 = 14 L H / 2

H = L / 7    or L = 7 H

Let the length of one side of square = 7 in

As = 7^2 = 49 in^2        area of square

H = 7     height of one side of triangle (other side = 1)

Area of triangle = 7 * 1 / 2 = 7/2 in^2

14 * At = 49

Area of square 7 * 7 = 49 in^2      Seems to checkout

In this equation, the value of x is fixed at 2, which means that every point on the graph will have the same x-coordinate value of 2. This creates a vertical line that passes through the point (2, y), where y can be any real number.

Therefore, the proper equation for the graph presented is:

\(x=2\)

The variance of the continuous random variable is approximately 4.3529.

The variance of a continuous random variable measures the spread or dispersion of its probability distribution. It indicates how much the values of the variable deviate from its mean. To find the variance, we need to calculate the second moment of the variable, which is the expected value of its squared deviations from the mean.

Given the probability density function (PDF) f(x) = x^2 + 1 for 1 ≤ x ≤ 2, we can first find the mean of the variable using the formula E(x) = ∫(x * f(x)) dx over the given interval. Since the mean is given as 1.575, we can set up the integral equation:

∫(x * (x^2 + 1)) dx = 1.575

Simplifying the integral and solving for the constant of integration, we find:

(x^4/4 + x^2 + C) = 1.575

Plugging in the limits of integration, we can determine the value of the constant C:

(16/4 + 4 + C) - (1/4 + 1 + C) = 1.575

Solving this equation yields C = 2.425.

Next, we need to find the second moment, which is given by E(x^2) = ∫(x^2 * f(x)) dx. Using the PDF, we set up the integral equation:

∫(x^2 * (x^2 + 1)) dx

Simplifying and evaluating the integral over the interval [1, 2], we find E(x^2) = 7.0833.Finally, the variance (Var(x)) can be calculated as Var(x) = E(x^2) - (E(x))^2. Plugging in the values we obtained, the variance is approximately 4.3529.

Variance is an important statistical measure that quantifies the dispersion of a random variable. It helps understand the variability and spread of data points around the mean. In probability theory, the variance is computed by subtracting the square of the mean from the expected value of the squared variable. It is a useful tool in various fields, such as finance, engineering, and social sciences, for analyzing and comparing data sets. Understanding the concept of variance allows researchers and analysts to make informed decisions based on the variability and reliability of the data.

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The expressions for the lengths of the segments obtained using vectors notation are;

a. i. \(\overrightarrow{LA}\) = q - (1/2)·p  ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)

b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;

\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)

A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)

a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) =  \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)

\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p

\(\overrightarrow{LA}\) = q - (1/2)·p

ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × (p - q)

b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)

\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)

\(\overrightarrow{LA}\) = q - (1/2)·p

\(\overrightarrow{AN}\) = (2/7) × (p - q)

Therefore;

\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)

\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)

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The probability they choose all democrats is 0.01805

From the question, we have the following parameters that can be used in our computation:

Republicans = 11

Democrats = 8

Number of selections = 4

If the selected people are all democrats, then we have

P = P(Democrats) * P(Democrats | Democrats) in 4 places

using the above as a guide, we have the following:

P = 8/19 * 7/18 * 6/17 * 5/16

Evaluate

P = 0.01805

Hence, the probability they choose all democrats is 0.01805

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To approximate the value of log base g of V using a calculator, we can utilize the Change of Base Formula and either common logs (log base 10) or natural logs (log base e). Let's go through the steps:

1. Determine the base g and the value V for the logarithm.
2. Choose the base for the logarithm in the calculator. Let's say we want to use common logs (log base 10) for this example.
3. Apply the Change of Base Formula, which states that log base g of V is equal to log base a of V divided by log base a of g. Here, a represents the chosen base for the calculator logarithm (log base 10 in this case).
4. Enter the value V into the calculator and take the logarithm using the chosen base (log base 10).
5. Divide the result obtained in step 4 by log base a of g. In this case, divide it by log base 10 of g.
6. Round the final answer to the nearest hundredth, if necessary.

Remember to substitute the appropriate values for g and V in the formula, and choose the correct base for the logarithm in your calculator. This will provide you with an approximate value for log base g of V.

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Polynomials are  closed under the operations of addition, subtraction, and multiplication, polynomials constitute a system similar to that of integers.

Polynomial exponents are whole numbers.

The fact that addition is closed for the whole numbers ensures that the resultant exponents will also be whole numbers. Polynomials are hence closed under addition.

Polynomials will be closed under an operation if the operation produces another polynomial.

If we subtract 2 polynomials, the result is a polynomial. Therefore, they are also closed under subtraction.

Polynomials are an algebraic equation that has more than two terms, particularly the accumulation of numerous phrases that each include a different power of the same variable (s).

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Answer:

A) 19 r9

Step-by-step explanation:

712 divided by 37 equals

19 with a remainder of 9

Hope this helps! Brainliest?? Anyways have a great day my loves <3

Answer:

cuz your questions are hard

Answer:

\(x + 54\ge 70\)

\(x \ge 16\)

Step-by-step explanation:

Given

\(Total = 70\) (at least)

\(Accumulated = 54\)

Required

Express as an inequality

In inequalities, at least means \(\ge\)

So, the expression is:

\(x + Accumulated \ge Total\)

Where x represents the additional points

\(x + 54\ge 70\)

Solve for x

\(x \ge 70 - 54\)

\(x \ge 16\)

Hence, she needs at least 16 points

The trigonometric identity:

sin(x/2) = -√(1/12) , cos(x/2) = √(11/12), and tan(x/2) = -36/55.

Since sec(x) = 6/5 and x is in the fourth quadrant (270° < x < 360°), we can draw a reference triangle in the fourth quadrant, where the adjacent side is positive and the hypotenuse is 5 and the opposite side is -6.

Then we can use the half-angle formulas to find sin(x/2), cos(x/2), and tan(x/2):

sin(x/2) = ±√((1 - cos(x))/2)

cos(x/2) = ±√((1 + cos(x))/2)

tan(x/2) = sin(x)/(1 + cos(x))

Since x is in the fourth quadrant, sin(x) is negative and cos(x) is positive, so we take the negative square roots in both of the half-angle formulas to get the appropriate signs for sine and cosine:

sin(x/2) = -√((1 - cos(x))/2)

cos(x/2) = √((1 + cos(x))/2)

First, we need to find cos(x) from the given information. Since sec(x) = 6/5, we know that cos(x) = 5/6.

Then, we can substitute this value into the half-angle formulas to get:

sin(x/2) = -√((1 - 5/6)/2) = -√(1/12)

cos(x/2) = √((1 + 5/6)/2) = √(11/12)

Finally, we can use the half-angle formula for tangent to get:

tan(x/2) = sin(x)/(1 + cos(x)) = (-6/5)/(1 + 5/6) = -36/55.

Therefore, sin(x/2) = -√(1/12) , cos(x/2) = √(11/12), and tan(x/2) = -36/55.

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Expression 1:

Degree: 2

Number of terms: 3

It is quadratic.

Expression 2:

Degree: 1

Number of terms: 2

It is a binomial.

Expression 3:

Degree: 0

Number of terms: 1

It is constant.

We have,

Expression 1: (3x - 1/4)(4x + 8)

Expanding the expression using the distributive property:

= 3x x 4x + 3x x 8 - (1/4) x 4x - (1/4) x 8

= 12x² + 24x - (4/4)x - 2

= 12x² + 24x - x - 2

= 12x² + 23x - 2

The degree of this expression is 2 because the highest power of x is 2.

There are 3 terms in this expression.

Expression 2:

(5x² + 7x) - (1/2) (10x² - 4)

Distributing the negative sign inside the parentheses:

= 5x² + 7x - (1/2)(10x²) + (1/2)(4)

= 5x² + 7x - 5x² + 2

= 7x + 2

The degree of this expression is 1 because the highest power of x is 1.

There are 2 terms in this expression.

Expression 3:

3(8x² + 4x - 2) + 6(-4x² - 2x + 3)

Expanding and simplifying each term:

= 3 x 8x² + 3 x 4x + 3 x (-2) + 6 x (-4x²) + 6 x (-2x) + 6 x 3

= 24x² + 12x - 6 - 24x² - 12x + 18

= (24x² - 24x²) + (12x - 12x) + (-6 + 18)

= 0x² + 0x + 12

= 12

The degree of this expression is 0 because there is no x term.

There is 1 term in this expression.

Thus,

Expression 1:

Degree: 2

Number of terms: 3

It is quadratic.

Expression 2:

Degree: 1

Number of terms: 2

It is a binomial.

Expression 3:

Degree: 0

Number of terms: 1

It is constant.

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Answer:

The correct answer is D because  for example...

Step-by-step explanation:

If b squared minus 4ac is non-negative, so at 0 or greater, we have at least one real solution. If it's less than 0, if it's negative, we have no real solutions!

Hope I was able to help, and I hope you Have a good day! :)

Answer:

I need more to the question so I can answer it

Step-by-step explanation:

We have explained all the steps to solve an infinite arithmetic sequence.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term is the sum of the previous term and a constant called the common difference.

When it comes to solving an infinite arithmetic sequence, you can use the following formulas:

The n-th term of an arithmetic sequence can be represented as a+(n-1)d, where "a" is the first term, "d" is a common difference, and "n" is the position of the term in the sequence.

The sum of the first n terms of an arithmetic sequence is represented as S_n = n/2(2a + (n-1)d), where "a" is the first term, "d" is a common difference, and "n" is the number of terms.

If a sequence is infinite, the sum of all terms can be represented as S_inf = a/(1-r) where "a" is the first term and "r" is the common ratio (r=1+d)

Hence, we have explained all the steps to solve an infinite arithmetic sequence.

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Answer: $90

Step-by-step explanation: Take 45 and add 65, then subtract 20.

A polygon will be dilated on a coordinate grid to create a smaller polygon. The polygon is dilated using the origin as the center of dilation. The rule that could represent this dilation is G. (x, y) → (0.9x, 0.9y).Step-by-step explanation:The center of dilation is a point from which we take measurements of how much we should increase or decrease the original polygon to get the dilated polygon.

When the center of dilation is the origin, the rules of dilation are simple. In this case, we multiply the coordinates of each vertex of the original polygon by a scale factor to get the coordinates of the vertices of the dilated polygon. This is because the scale factor tells us how much we should stretch or shrink each side of the original polygon to get the sides of the dilated polygon. We should also note that the scale factor should always be positive, and it should be greater than 1 for enlargement and less than 1 for reduction.So, from the given options, the rule that could represent this dilation is G. (x, y) → (0.9x, 0.9y). This is because when we multiply the coordinates of each vertex of the original polygon by a scale factor of 0.9, we get the coordinates of the vertices of the dilated polygon.

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