Graph the equation y = |x| +5. Let x = -3, -2, -1, 0, 1,
2, and 3.
X
Find the following y-values. Then choose the correct
graph of the equation to the right.
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The solution is , 225 mg remain in Aldi bloodstream.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

150mg of amoxicillin was given daily for 10 days equals 1,500

of the 1500-40% =600mg

so, we get,

600mg divided by  4 days

= 225mg still in blood stream

Hence, The solution is , 225 mg remain in Aldi bloodstream.

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The minimum number of pitches that a baseball player who pitches a complete game can make in a regulation 9-inning baseball game is given as follows:

27 pitches.

The minimum number of pitches is obtained applying the proportions in the context of this problem.

Each baseball game is composed by nine innings, and for each inning the pitching team must get three outs.

Hence the number of outs in a baseball game is given as follows:

9 x 3 = 27 outs.

The minimum number of pitches for one out is of one pitch, hence the minimum number of pitches for an entire game is given as follows:

1 x 27 = 27 pitches.

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The nearest square inch gives a total of 61 square inches of fabric used to make all three triangles.

The trigonometric area formula is used to calculate the area of a triangle. The formula is Area = 1/2absin(c), where a and b are the lengths of two sides of the triangle, and c is the angle between the two sides. In this case, Lian is making three congruent isosceles triangles, so all three triangles have the same base and height, and the same angle at the vertex. Therefore, the area of each triangle is the same. The base and height of the triangle can be calculated using the side lengths, and the angle can be calculated using the theorem of cosines. For example, the base of the triangle is 11 cm, the height is 8 cm, and the angle at the vertex is 62 degrees. Therefore, the area of each triangle is 1/2*11*8*sin(62) = 52 square cm. Multiplying this by three gives a total area of 156 square cm. Converting this to square inches gives 156*0.3937 = 61.4 square inches. Rounding to the nearest square inch gives a total of 61 square inches of fabric used to make all three triangles.

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Answer:

14. D

15. angle 2= 125 angle 6= 55

16. yes, because if corresponding angles are congruent, then the lines are parallel.

Step-by-step explanation:

14. alternant exterior are outside of the parallel lines. angle HBF and angle ABD are not.

15. corresponding angles are congruent. angle 5 is the vertical angle of angle 2, meaning that they are congruent. angle 6 are linear pair, meaning they equal to 180. 180-125 is 55, which is the angle measure for angle 6.

The predicted number of text messages sent per day for someone who has not attended a party this week is 64.96 and the predicted number of text messages sent per day for someone who has attended one party this week is 90.37 (64.96 + 25.41).

The least squares regression line is a mathematical formula that is used to predict the response variable (in this case, the number of text messages sent per day) based on the explanatory variable (the number of parties attended per week). The formula for the least squares regression line is y-hat = b0 + b1x, where y-hat is the predicted response variable, b0 is the y-intercept, b1 is the slope, and x is the explanatory variable. In this example, the y-intercept is 64.96 and the slope is 25.41. This means that the predicted number of text messages sent per day for someone who has not attended a party this week is 64.96 and the predicted number of text messages sent per day for someone who has attended one party this week is 90.37 (64.96 + 25.41).

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The ordered pair (6, 4) is not a solution to the inequality Y > - (1/2)x + 7 as,

No, because (6, 4) is below the line.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality Y > - (1/2)x + 7.

Form for the ordered pair (6, 4) we have,

4 > - (1/2)×4 + 7.

4 > - 2 + 7.

4 > 5 which is not true.

Therefore, The ordered pair is not a solution to the inequality.

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Answer: if you are on a graph and go down 15 it would be

Step-by-step explanation:

15 minus 10 equals

The x-values at which the function f(x) is differentiable are all real numbers, excluding those values where the derivative is undefined. This can be expressed using interval notation as (-∞, -4) ∪ (-4, 0) ∪ (0, 4) ∪ (4, ∞).

The function mentioned is a continuous function on the interval 4 < x < 5, h(x), which is described in the table provided. This function has a vertical asymptote at 4 and 5, meaning that its values approach positive or negative infinity at these points.

The function's domain is 4 < x < 5, meaning that it is defined and can take a value for any x within this interval. The function's range is not specified, so it can take any value for an x within the given interval. Additionally, the function is differentiable for all values of x within the given interval, meaning that its rate of change can be calculated using derivatives.

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The ordered pair that lie on the graph of y = 1/2 x are A and B -  (0, 0), (1, 2)

The equation of a line can be constructed using the slope of the line and a point on the line. Let's learn more about the line's slope and the crucial point on the line in order to better understand how the equation for a line is created. The line's inclination with respect to the positive x-axis is measured by its slope, which can be expressed as an integer number, a fraction, or the tangent of the angle it makes with the x-axis. The point is the intersection of the x and y coordinates in the coordinate system.

The line's equation is as follows:

y = 1/2 x

To check which ordered pair lie on the graph of the given equation of line, we substitute the values of x and y coordinate in the equation.

1. (0, 0)

y = 1/2 x

0 = 1/2 (0)

True.

2. (1, 2)

y = 1/2 x

1 = (1/2) (2) = 1

True

3. (2, 1)

y = 1/2 x

2 = 1/2 (1)

False

4. (3, 4)

y = 1/2 x

3 = (1/2) (4) = 2

False

5. (4, 2)

y = 1/2 x

4 = (1/2)(2) = 1

False

Hence, the ordered pair that lie on the graph of y = 1/2 x are A and B.

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Complete question -

Which of the following ordered pairs lies on the graph of y = 1/2x?

1. (0, 0)

2. (1, 2)

3. (2, 1)

4. (3, 4)

5. (4, 2)

Answer: 1/4.

Step-by-step explanation:

The probability of selecting a nickel first and then a dime is calculated as follows:

Step 1: Determine the number of successful outcomes. There are 4 nickels and 9 dimes in the bag, so there are 4 successful outcomes of selecting a nickel first.

Step 2: Determine the number of possible outcomes. Since David is selecting 2 coins from the bag one at a time without replacement, the number of possible outcomes is 16 (9 + 4 + 3).

Step 3: Calculate the probability. The probability of selecting a nickel first and then a dime is 4/16 = 1/4.

So, the probability that David will select a nickel first and then a dime is 1/4.

The results of the hypothesis tests indicate that the difference in mean relative skill between the assigned team and my team is significant.

Hypothesis tests for the population mean:

The first hypothesis test was performed to test the mean relative skill of the assigned team and my team. The mean relative skill of the assigned team was found to be 1739.8 and the mean relative skill of my team was found to be 1456.78. The hypothesis test was performed to test the difference between the two means. The t-statistic was calculated to be -17.47 and the p-value was found to be 0.0000. Based on the results, the null hypothesis was rejected.

Hypothesis test for the population proportion:

The second hypothesis test was performed to test the proportion of games won by my team when they scored more than 80 points. The proportion was found to be 0.4506. The hypothesis test was performed to test the difference between the proportion of games won and the null hypothesis value of 0.5. The p-value was found to be significant, which means that the proportion of games won by my team when scoring more than 80 points is significantly different from 0.5.

Hypothesis test for the difference between two population means:

The third hypothesis test was performed to test the difference between the mean points scored by my team and the assigned team. The mean points scored by my team was found to be 98.0489 and the mean points scored by the assigned team was not calculated in this project.

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The requried probability that for the next two cars sold, the first will be black and the second will be silver is 41%.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

To find the probability that a customer will purchase a silver or white car, we add the probabilities of each individual color:

silver = 23%

white = 18%

silver or white = 23% + 18% = 41%

So, the probability that a customer will purchase a silver or white car is 41%.

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When pentagon ABCDE is translated 2 units down, dilated by a scale factor of 1/2 units and reflected over the x-axis, it will map into pentagon FGHIJ. This proves that the pentagons are similar.

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

The transformations to this problem are given as follows:

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Answer: 1/3

Step-by-step explanation:

5/15 = 1/3

10/30 = 1/3

6/18 = 1/3

9/27 = 1/3

2/6 = 1/3

The values in the table do not represent the function.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

A data table.

The table does not represent the function.

Because the input value of -3 connected to two points 1 and 0.

Therefore, it is not a function.

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The probability of no two consecutive numbers written on the faces that share an edge is given by P = (7! - 16) / (2 * 8) = 105/16.

The probability of no two consecutive numbers written on the faces that share an edge is given by the formula P = (n–1)!/(2n), where n is the number of faces (in this case 8). Applying this formula, the probability of no two consecutive numbers written on the faces that share an edge is P = 7!/16 = 105/16. Therefore, the answer is 105/16.

To calculate this probability, we must first consider the number of ways in which the numbers can be written on the faces of the octahedron so that no two consecutive numbers appear on faces that share an edge. There are 7! (7 factorial, i.e. 1 * 2 * 3 * 4 * 5 * 6 * 7) total ways in which the numbers can be written on the faces, but among these, there are some arrangements in which two consecutive numbers appear on faces that share an edge. To find the number of these arrangements, we can consider the number of ways in which the numbers can be written on the faces of the octahedron so that two consecutive numbers appear on faces that share an edge. There are 8 pairs of consecutive numbers, and for each pair, there are 2! (2 factorial, i.e. 1 * 2) ways in which the two numbers can be written on faces that share an edge. Thus, the total number of ways in which two consecutive numbers appear on faces that share an edge is 8 * 2! = 16.

Therefore, the probability of no two consecutive numbers written on the faces that share an edge is given by P = (7! - 16) / (2 * 8) = 105/16.

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The value of 'a' in the figure is, 6

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

In the figure,

⇒ ∠MLK = 15a°

⇒ ∠MJK = 180°

Now, We know that;

In a circle;

⇒ ∠MLK = 1/2 ∠MJK

Substitute given values, we get;

⇒ 15a = 1/2 (180°)

⇒ 15a = 90°

⇒ a = 90/15

⇒ a = 6

Thus, The value of a = 6

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18. With a deposit of $375 in a savings account earning 2.75% interest compounded annually, the interest for the given amounts of time is as follows:

Compound interest operates on a system of computing interest to accumulated interest, unlike the simple interest system.

To find the interest for the given periods, we can use an online finance calculator, which also shows the future value (compounded present value).

We can also manually compute the interest, using the FV table or factor and deducting the present investment from the future value.

N (# of periods) = 1 year

I/Y (Interest per year) = 2.75%

PV (Present Value) = $375

PMT (Periodic Payment) = $0

Results:

FV = $385.31

Total Interest = $10.31 ($375 x 2.75%)

N (# of periods) = 5 years

I/Y (Interest per year) = 2.75%

PV (Present Value) = $375

PMT (Periodic Payment) = $0

Results:

FV = $429.48

Total Interest = $54.48

N (# of periods) = 20 years

I/Y (Interest per year) = 2.75%

PV (Present Value) = $375

PMT (Periodic Payment) = $0

Results:

FV = $645.16

Total Interest = $270.16

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18: You deposit $375 in a savings account that earns 2.75% interest compounded yearly.  Find the interest earned by the account after the given amounts of time.

a) 1 year

b) 5 years

c) 20 years

The fraction of Kaitlins family have green or brown eyes is 5/8

The complete question is added as an attachment

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

Green = 3/8

Brown = 2/8

This means that

Green or Brown = 3/8 + 2/8

Evaluate the like terms

Green or Brown = 5/8

Hence, the fraction is 5/8

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Answer:The product of the two functions, f and g, is given by fg(x) = (x² + 1)(9x + 5). This can be expanded to give fg(x) = 9x³ + 14x² + 5x + 5.

Step-by-step explanation:

The number of boys and girls in the family would be = 2 and 3 respectively.

The siblings are Mike and Emily which are brother and sister. That is 1:1 = boy : girl

The number of brothers Mike has = number of sisters he has. That is ; number of brothers= number of sisters.

The number of brothers Emily has = 3× number of girls

Let the number of girls in the family be x.

Let the number of boys in the family be y.

Also the number of brothers Emily has is equal to 1 less than the number of boys in the family, i.e. (y - 1).

One less because Steve himself is excluded.

Hence, 3(y-1)= X

3y -3 = x ---> equation 1

Also, it is given that Mike has as many brothers as sisters.

Now, the number of brothers Mike has is equal to the number of boys in the family, i.e., y. Also, the number of sisters Mike has is equal to 1 less than the number of girls in the family, i.e. (x-1). One less because Emily herself is excluded.

Hence, y = x- 1 ---> equation 2

Putting, the value of x from the first equation into the second equation, we get:

y= (3y-3)-1

y = 3y-4

2y = 4

y = 4/2 = 2

Therefore X = y+1 = 2+1 = 3

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The greatest positive integer [tex]$n$[/tex] such that [tex]$2^n$[/tex] divides [tex]$k$ is $n = 4$[/tex].

[tex]$k = (2 - 1)(3 - 1)(4 - 1)...(20 - 1)$[/tex]

We can rewrite [tex]$k$[/tex] as [tex]$k = 2^1 \cdot 3^1 \cdot 4^1 \cdot ... \cdot 20^1$[/tex], and then use the formula [tex]$2^n \mid (p_1^{\alpha_1} \cdot p_2^{\alpha_2} \cdot p_3^{\alpha_3} \cdot ... \cdot p_m^{\alpha_m})$ $\iff$ $2^n \mid p_1^{\alpha_1}$[/tex] and [tex]$2^n \mid p_2^{\alpha_2}$[/tex] and[tex]$2^n \mid p_3^{\alpha_3}$ and ... and $2^n \mid p_m^{\alpha_m}$[/tex]

Since all of the exponents [tex]$\alpha_1, \alpha_2, \alpha_3, ..., \alpha_m$[/tex] are equal to 1, we can simplify this to: [tex]$2^n \mid p_1$ and $2^n \mid p_2$ and $2^n \mid p_3$ and ... and $2^n \mid p_m$[/tex]

In this case, [tex]$p_1 = 2$, $p_2 = 3$, $p_3 = 4$[/tex], and so on, so [tex]$2^n$[/tex] must divide all of the prime numbers from 2 to 20 in order for it to divide k. The highest power of 2 that divides all of these prime numbers is [tex]$2^4$[/tex], so the greatest positive integer n such that [tex]$2^n$[/tex] divides [tex]$k$ is $n = 4$[/tex].

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The distance along an arc on the surface of the earth is 4.605miles

Given an angle and the diameter of a circle, we can calculate the length of the arc using the formula: Arc Length = ( 2 * pi * radius ) * ( angle / 360 ) Where pi = 22/7, diameter = 2 * radius, angle is in degree.

1 minutes = 1/60 degree

4 minutes = 1/60 × 4

4 minutes = 1/15 °

l = tetha/360 × 2πr

l = 1/15 × 1/360 × 2 × 3.14 × 3960

l = 24868.8/5400

l = 4.605miles

therefore the distance along the surface of the earth by the arc is 4.605miles

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a) The amount of overhead cost that would have been applied to each job during May, based on the predetermined overhead rate, was as follows:

                                   Job X        Job Y        Job Z

Overhead applied   $9,000       $3,600     $5,400

b) The work-in-process inventory reported in the company's May 31 balance sheet was $10,500 for Job Z only.

c) The finished goods inventory that would be reported in the company’s May 31 balance sheet was $4,050.

d) The cost of goods sold that would be reported in the company's income statement for May was $14,500.

The predetermined overhead rate is the rate per unit at which overhead costs are applied to production units or jobs.

The predetermined overhead rate is the quotient of the total budgeted overhead cost divided by the relevant total cost driver units (e.g. direct labor hours).

Predetermined overhead rate = $45 per direct labor-hour

                                   Job X        Job Y        Job Z

Direct labor hours        200             80             120

Direct materials      $4,800       $1,800      $3,600

Direct labor               2,400         1,000         1,500

Overhead applied   9,000         3,600        5,400

                         ($45 x 200)  ($45 x 80)   ($45 x 120)

Production costs $16,200       $6,400    $10,500

Unit costs of Job X   $81 ($16,200/200)

Sold units of Job X = 150

Unsold units of Job X = 50 (200 - 150)

Work in process inventory = Job Z's total cost.

Finished Goods Inventory = $4,050 ($81 x 50)

Cost of Goods Sold = $14,500 ($6,400 + $81 x 100)

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Therefore , the solution of the given problem of standard deviation comes out to be Random variable X is 30.

Statistics uses variance as a metric for variability. It evaluates the square root of the average deviation between the data values and the mean. It includes all data points in its calculations, unlike some other statistical measures of variability, by comparing each value to the mean. Variances can happen for internal or external causes, and they might involve things like human mistake, unrealistic expectations, and shifting business or economic conditions.

Here,

Given:

=> radius of rubber ball=12/2 = 6cm

Standard deviation = 0.2cm

Random variable X:

=> 6/0.2

=> 30

Therefore , the solution of the given problem of standard deviation comes out to be Random variable X is 30.

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True. A counting process {N(t)} is a Poisson process(PP) if and only if it is a renewal process in which the interarrival times have an exponential distribution function.

A counting process is a mathematical model used to count the number of events that occur over time. A Poisson process is a specific type of counting process in which the number of events occurring in any given time interval is independent of the number of events that have occurred in any previous interval.

A renewal process is a type of counting process in which the arrival of events resets the process so that the future events are independent of the past events. The interarrival time between two events in a renewal process is the time between the arrival of one event and the arrival of the next.

Complete Question:

T/F. a counting process {nt} is a pp if and only if it is a renewal process in which the interarrival times have an exponential distribution function.

The measure of each angle ∠EFG, ∠HFD, DFG, GFC, and CFE will be 36°, 93°, 51°, 129°, and 51°, respectively.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Angle ∠CFG and angle ∠HFD are vertically opposite angles. Then we have

y + 93° = 129°

y = 36°

Angle ∠EFC and angle ∠CFG are supplementary angles. Then we have

x + 129° = 180°

x = 51°

Then the measure of each angle ∠EFG, ∠HFD, DFG, GFC, and CFE will be 36°, 93°, 51°, 129°, and 51°, respectively.

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The missing diagram is given below.