B) She wants to drive her friend's car, but she reads that you shouldn't operate any heavy machinery if
you have more than 50 mg of Vicodin left in your body. Approximately hour many hours does she
have to wait from the moment she takes the pill until she can drive the car? (use a table!)

The unit price is $6.55 per pair of pants

Kristen's dry cleaning charge a fee of $32.75 for 5 pairs of pants

The unit price of the pants can be calculated as follows

32.75= 5

x= 1

Cross multiply both sides

5x= 32.75

x= 32.75/5

x= 6.55

Hence the unit price of the pants is $6.55

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The unit price for the cleaning fee is $6.55 per pair of pants

An equation shows the relationship between numbers and variables in an expression.

Unit rate is the ratio of two quantities. The denominator of a unit rate is always equal to one.

Kristen's dry cleaning fee was $32.75 for 5 pairs of pants. Hence:

Unit price = total cleaning fee / number of pants

Substituting values gives:

Unit price = $32.75/5 pairs of pants = $6.55 per pair of pants

The Unit price is $6.55 per pair of pants

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The value of k if one root of the quadratic equation x²+kx-8=0 is-4 is 2.

The equation x^2+kx-8=0 is a quadratic equation and of the form

ax^2 + bx + c ;where a =1 , b=k and c= -8.

Now, we know that the sum of the roots of a quadratic equation = -b/a

and the product of the roots is = c/a.

Now, let the other root of this equation be y.

Then , by above properties,

(-4) + y = -k/1 =-k ..... (1)

And, (-4)y = -8/1=-8....(2)

From 2, we get y = 2.

Putting this value in (1), we get -

(-4) + 2=-k

So, k = 2.

Thus, if one of the roots of this equation -4 , then the other root must be 2 and so , the value of k is 2.

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The complete question is:

Which of the following is the value of k,if one root of the quadratic equation X2+kx-8=0 is-4? a) 0 b) 4 c) 0 or 4 b) 2

Answer:

c

Step-by-step explanation:

(5x + 2) and (3x + 18) are vertically opposite angles and are congruent, so

5x + 2 = 3x + 18 ( subtract 3x from both sides )

2x + 2 = 18 ( subtract 2 from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

Similarly

(5y + 68) and (3y + 96) are vertically opposite angles and are congruent, so

5y + 68 = 3y + 96 ( subtract 3y from both sides )

2y + 68 = 96 ( subtract 68 from both sides )

2y = 28 ( divide both sides by 2 )

y = 14

The equation that models the problem is given as follows:

s = 120/1.5.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

For this problem, the variables are given as follows:

Hence the equation used to obtain the number of stripes that Murphy will paint is given as follows:

1.5s = 120

s = 120/1.5

s = 80. (solution).

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Answer: (- 1, 3 )

Step-by-step explanation:

Answer:

60, pi/2, 2pi

Step-by-step explanation:

Q4: pi/3 * 180/pi = 180/3 = 60 degrees

Q5: 90/1 * pi/180 = pi/2 = 1.5708

Q6: The formula of the central angle is theta = S/r

so it is 2pi.

The graph that displays the altitude of a skydiver as he is taken up in a plane and then jumps:

A graph has time on the x-axis and altitude on the y-axis.

The correct option is A.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.

Given:

We have a graph.

The graph is given in the attached image.

From the graph;

A graph has time on the x-axis and altitude on the y-axis.

Therefore, x-axis shows the time and y-axis shows altitude.

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Answer:

In this algebraic expression, "Negative x" represents a term with a coefficient of -1, and "x" represents a variable. "10.2" represents a constant term. The "+" sign represents addition.

Step-by-step explanation:

"minus one-half x" represents a term with a coefficient of -0.5 and variable "x". "+ y" represents a term with variable "y" and a coefficient of 1.

Simplifying the expression by combining like terms:

-x - 0.5x = -1.5x

Negative x + 10.2 - one-half x + y = 10.2 - 1.5x + y

The conclusion sum of the measures of the angles 4, 5 and 11 is equal to 180 degrees not be accurate to the drawing.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Supplementary angles are those angles that sum up to 180 degrees

so angle 1 and 4 are supplementary angles.

Congruent angles are two or more angles that are identical to each other

so angles 10 and 1 are congruent.

angles 5 and 7 are congruent.

The three interior angles of a triangle will always have a sum of 180°.

The sum of the measures of the angles 4, 5 and 10 is equal to 180 degrees.

The sum of the measures of the angles 4, 5 and 11 is not equal to 180 degrees.

Hence, the conclusion sum of the measures of the angles 4, 5 and 11 is equal to 180 degrees not be accurate to the drawing.

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The solution for the equation is,

1. x = 2 and y = 1

2. no solution

3. y = 0 and x = 11

4. x = 4/3 and y = 10/3

How do linear equations work?

Since each term in a linear equation has an exponent of 1, graphing an algebraic equation always yields a straight line. It is called a "linear equation" because of this.

There are linear equations with one variable and those with two variables.

Given sets of equations,

1. x - y = 1

x + y = 3

add both the equations we get,

x - y + x + y = 1 + 3

2x = 4 (+y and -y eliminated)

x = 4/2 = 2

substitute value of  x

x + y = 3

2 + y = 3

y = 3 - 2 = 1

x = 2 and y = 1

2.  x + y = 1

x + y = 11

The two lines that are used to symbolize the equations in this instance are parallel, hence the problem has no solution.

3. x + 4y = 11

x - 6y = 11

We may remove the equations since x is a common constant in both equations.

x + 4y -(x - 6y) = 11 - 11

4y + 6y = 0

y = 0 and x = 11

4. -3x + 3y = 6

6x + 3y = 18

subtract equation 1 from 2

6x + 3y -(-3x + 3y) = 18 - 6

6x - 3y + 3x - 3y = 12

9x = 12

x = 12/9 = 4/3

substitute value of x

-3x + 3y = 6

-3(4/3) + 3y = 6

-4 + 3y = 6

y = 10/3

Hence the solution is 1. x = 2 and y = 1

2. no solution,

3. y = 0 and x = 11

4. x = 4/3 and y = 10/3.

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Answer: The value of x is 43 degrees

The total cost of the framing for the painting would be $13.20.

The length of the painting is 10.25 inches and the width is 6.25 inches. To find the total length of the framing needed to go around the perimeter of the painting, we need to add the length and width of the painting and then multiply by 2. This is because the framing is needed for both the length and the width of the painting.

10.25 inches + 6.25 inches = 16.50 inches of framing needed

Since we need to go around the perimeter of the painting we need to multiply the 16.50 inches of framing by 2 = 33 inches of framing.

Finally, we multiply the total inches of framing needed (33 inches) by the cost per inch of framing ($0.40/inch) to get the total cost:

33 inches x $0.40/inch = $13.20

So the total cost of the framing for the painting would be $13.20.

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The probability of selling at least 30 widgets is 0.0468.

The problem is asking us to use a binomial distribution to estimate the probability of selling at least 30 widgets given the information provided.

A binomial distribution is a probability distribution of the number of successes in a fixed number of trials.

Where n = 200 (number of customers arriving and purchasing a widget from the store each day) and

p = 0.1667 ( probability of a customer buying a widget)

We are looking for the probability of selling at least 30 widgets, which is equivalent to finding the probability of selling 30 or more widgets.

This can be calculated using the cumulative probability formula for a binomial distribution:

P(X >= 30) = 1 - P(X < 30) = 1 - Σ (nCx)(p^x)(1-p)^(n-x) from x=0 to 29

We can use a calculator or a software to calculate this probability. The result is 0.0468 rounded to 4 decimals.

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The equation of linear function f with the given values f(0) = 5 f(9) = -4 is,

⇒ f (x) = - x + 5

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The given values are,

⇒ f(0) = 5 and f(9) = -4

Now,

Let a linear equation is,

⇒ f (x) = ax + b

Here,  f(0) = 5

So, We get;

⇒ f (0) = a × 0 + b

⇒ 5 = b

⇒ b = 5

And, f(9) = -4

So, We get;

⇒ f (9) = a × 9 + 5

⇒ - 4 = 9a + 5

⇒ 9a = - 4 - 5

⇒ 9a = - 9

⇒ a = - 1

So, The linear equation is,

⇒ f (x) = ax + b

⇒ f (x) = - x + 5

⇒ y = - x + 5

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The probability that bin 1 contains exactly 3 balls would be 0.015. Probabilities can be expressed as fractions, decimals, or percentages, and they can be used to make predictions or to quantify uncertainty.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain. For example, if the probability of it raining tomorrow is 0.3, it means that there is a 30% chance of it raining tomorrow. In addition, probability theory is a branch of mathematics that studies the probability of events, and it plays an important role in many areas such as statistics, finance, and science.

The probability that bin 1 contains exactly 3 balls out of the 10 balls placed is given by the binomial probability mass function with parameters n = 10 and k = 3, and probability of success p = 1/20. Therefore, the probability is given by:

(10 choose 3) * [tex](1/20)^3[/tex] * [tex](19/20)^7[/tex] = 120 * (1/8000) * [tex](19/20)^7[/tex] = 120/8000 = 0.015

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The solution set for the given system of equations is (1, 5).

Given is the system of equations as -

4x + 3y = 19

- 3x + y =2

The given system of equations is -

4x + 3y = 19

- 3x + y =2

Now, we can write -

- 3x + y = 2

y = 2 + 3x

Then, the equation 4x + 3y = 19, will become -

4x + 3(2 + 3x) = 19

4x + 6 + 9x = 19

13x = 13

x = 1

Then, the value of {y} will be -

y =2 + 3

y = 5

Therefore, the solution set for the given system of equations is (1, 5).

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Rebecca and Mohammed sold 16 shirts and 6 hats.

To solve this problem, we can write an equation on the information provided. Let x be the number of shirts sold and y be the number of hats sold. Such that:

x + y = 22 {the total number of pieces sold}

12x + 9y = 350 - 125 {the total profit, including the savings they started with}

We can solve for one variable in terms of the other using the first equation:

x = 22 - y

Then we can substitute this expression into the second equation:

12(22 - y) + 9y = 350 - 125

Simplifying this equation:

264 - 12y + 9y = 350 - 125

y = 6

Therefore, Rebecca and Mohammed sold 6 hats and 16 shirts

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The number of students who chose football exists 38.5.

A ratio is a tool for comparing like-kind quantities or illustrating relationships between them. To compare similar items, we employ ratios.

It's crucial to keep in mind that the ratio of one value to another is the same as the real value in relation to the other when calculating values using supplied ratios.

The percentage of students that chose rugby and tennis is listed as 8:17, which means that out of every 25 students (8 + 17), 8 chose rugby and 17 chose tennis. The ratio of 17 would now be replaced by the value 51 as the total number of students who picked tennis was 51. Although we do not yet know the total number of people that choose rugby, we can draw down an equation as shown below;

17/25 = t/x

Where t is the number of tennis players as represented by ratio 17 and x is the total number of both tennis and rugby players as represented by 25.

By cross multiplication we now have

17 × x = 25 × 51

x = (25 × 51)/17

Simplifying the above equation, we get

17x = 1275

x = 75

If 84 students participate in both rugby and tennis, but only 57 of them play tennis, the number of rugby players is calculated as follows.

Let the equation be r = x - t

simplifying the equation, we get

r = 75 - 51

r = 24

Given that 25 students participated in rugby and that the proportion of football players to rugby players is 3:2, the relationship can be mathematically stated as follows;

3/5 = r/y

Where r is the total number of rugby players and y is the total number of both football and rugby players

2/5 = 25/y

By cross multiplication you now have

y = 62.5

If the total number of football and rugby players is 63 and out of these 27 play rugby only, then the number of football players is derived as;

f = y - r

f = 62.5 - 24

f = 38.5

Therefore the number of students who chose football is 38.5.

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Answer: 30 straps for 66 is better

Step-by-step explanation:

If its 9 straps for 20.25, then one strap costs 2.25

If its 30 traps for 66, one strap costs 2.2

Therefore, if you buy 30 straps for 66, its a better buy.

Answer:

1. 2.25

2. 2.20

3. 1.02

4. 30 straps

Step-by-step explanation:

1. Divide 20.25 by 9

2. Divide 66 by 30

3. Divide 2.25 by 2.20

Answer: (y-6)/3

Step-by-step explanation:

6x = 2y - 12

x = (2y - 12)/6 = (y-6)/3

(I can only put x in terms of y because you only provided one equation)

Answer:

Step-by-step explanation:

The sine of the required angle = 6/14.

So, the answers is the angle whose sine is 6/14

= s25.38 degree

An ensemble approach called bagging combines the predictions from all models after fitting each one to a distinct portion of a training dataset.

When the standard deviation is low, the data tend to cluster around the mean; when it is large, the data are more spread. Calculated using the standard deviation, the data's divergence from the mean value is determined. It is useful for contrasting data sets with possibly the same mean but a distinct range. For instance, the mean of the two following numbers is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. But it's clear that the second is more diffused. The standard deviation shows how erratic the data is. It conveys the difference between each observed value and its mean.

given

An variation of bagging called random forest additionally randomly chooses the subsets of features that are applied to each data sample.

With the addition of splitting on a random subset of characteristics, random forest outperforms bagging by decorrelating the trees.

As a result, the model only takes into account a small subset of its properties at each branch in the tree rather than all of them.

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Osvoldo fell short of his objective because the condition is getting AT LEAST 30%. He fell short of the requisite 30%, just achieving 25%.

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.

given

30% would be the base. The ratio of whole grains to carbohydrates has been multiplied by 100.

Mass percentage equals (55/220)*100.

Percent mass Equals 25%

Osvoldo fell short of his objective because the condition is getting AT LEAST 30%. He fell short of the requisite 30%, just achieving 25%.

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The election comma Modifying 18 % with underline of the governors of all 50 areas of a country were female.

Based on this, thr correct answer is A. The value is a parameter because the governors of all 50 area of a country nothing are a population.

Parameter is a term that comes from the Greek, namely para which means beside, and metron which means size. In general, a parameter is any characteristic that can help in defining and classifying a particular system (an event, project, object, situation, etc.). This means, parameters are system elements that are useful or critical, when identifying a system, or when evaluating its performance, status, condition, etc.

Parameter is a term that refers to a size or benchmark. parameter is the size of the entire population in the study which must be estimated from that contained in the sample. Parameter is a benchmark for a value with conditions that are expected to be achieved and can be one of the conditions for achieving goals.

As previously mentioned, parameters have more specific meanings in various disciplines, such as mathematics, computer programming, engineering, statistics, logic, linguistics, to electronic music composition. Apart from being used in technical uses, there are also extended uses, especially in non-scientific contexts, where the term is used to mean a characteristic or limitation, as in the phrases 'test parameters' or 'game parameters'.

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Answer:

15, 80

Step-by-step explanation:

Angle of triangle=180 degrees

180-85=95

3x+16x=95

19x=95

x=95/19

x=5

3x=15

16x=80

Yes, it is possible to form a triangle with side lengths 3, 4 and 5 units and we can form a right triangle.

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Given that, a triangle with side lengths 1, 5 and 3 units

The properties of the triangle are:

1) Here, 5-1>3

No, we can not form a triangle with 1, 5 and 3.

2) A triangle with side lengths 3, 4 and 5 units

Here, 5-3<4

It is possible to form a triangle.

Now, c²=a²+b²

5²=3²+4²

25+25

With side lengths 3, 4 and 5 units right angle triangle can be formed.

Yes, it is possible to form a triangle with side lengths 3, 4 and 5 units and we can form a right triangle.

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To find the domain of the function F(x) = - √x—5 +10, we need to find the set of x-values for which the expression inside the square root is defined. The expression inside the square root is x - 5. For the square root of a real number to be defined, that number must be non-negative, so x - 5 ≥ 0, or x ≥ 5. Therefore, the domain of the function is x ≥ 5.

What is an example of a domain and range?

Think about the relationship (0,7,0,8,(1,7,(1,8,(1,9),(2,10)). The relation is shown in this case as a set of sorted pairs. The set of x -coordinates, 0, 1, and 2, and the set of y -coordinates, 7, 8, 9, and 10, define the domain and range, respectively.

To find the range of the function F(x) = - √x—5 +10, we need to find the set of y-values that the function can output. The function starts with the square root of x-5, which is always non-negative, and then subtracts it from -5 and adds 10. Therefore, the range of the function is all real numbers y, such that y ≥ 10.

So the domain of the function F(x) = - √x—5 +10 is x ≥ 5 and the range of the function is y ≥ 10.

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The number of students who liked cake batter frozen yogurt is 135.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

From the given diagram the sum of all the percentages except the Cake batter is (28.5 + 21.5 + 13 + 10)% = 73%.

Therefore, The percentage of students who liked Cake batter is,

= (100 - 73)%.

= 27%.

So, The number of students who liked cake batter is,

(27/100)×500.

= 27×5.

= 135.

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The equivalent expression to the given expression is 3⁶/9¹⁵.  

A mathematical expression made up of variables, coefficients, constants, and operations like addition, subtraction, multiplication, and division is called an algebraic expression.  

Equivalent expressions in mathematics are those that hold true even when they appear to be different. However, both forms provide the same outcome when the values are entered into the formula.    

Here we have

=> [tex][ \frac{9^{-3} }{ 3^{-2} 9^{2} } ]^{3}[/tex]  

We can solve the above expression as follows

=> [tex][ {9^{-3} \times3^{2} \times 9^{-2} ]^{3}[/tex]  

=> [tex][ {9^{-5} \times3^{2} ]^{3}[/tex]  

=> [tex][ {9^{-15} \times3^{6} ][/tex]  

=> [tex]\frac{ 3^{6}}{9^{15} }[/tex]    

Therefore,

The equivalent expression to the given expression is 3⁶/9¹⁵.  

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