What is the equation of a line that is perpendicular to y-3x-2 and passes
through the point (6, 8)?
A. y=-x+10
OB. y--x+8
OC. y-x+6
OD. --x+4

the limit of f(x) as x approaches -5 exists and is equal to 0.8. Since the limit exists, we can conclude that there is a vertical asymptote at x = -5.To determine if there is a vertical asymptote at x = -5 for the function f(x) = (x² + 6x + 5)/(x + 5), we can evaluate the limit of f(x) as x approaches -5 from both sides using a table.

First, we'll create a table by choosing x values that approach -5 from both sides:

x | f(x)
--------------
-6 | 1
-5.1 | 0.81
-5.01 | 0.801
-5.001 | 0.8001
-4.9 | 0.77
-4.99 | 0.799
-4.999 | 0.7999
-4.9999 | 0.79999

As x approaches -5 from the left side, the values of f(x) approach 0.8. Similarly, as x approaches -5 from the right side, the values of f(x) approach 0.8 as well.

Therefore, the limit of f(x) as x approaches -5 exists and is equal to 0.8. Since the limit exists, we can conclude that there is a vertical asymptote at x = -5.

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Answer:

9.219544457292887

Step-by-step explanation:

Use distance formula

√(−5−2)^2+(−3−3)^2

√(−7)^2+(−6)^2

√49+36

√85

√≈9.219544457292887

Hoped this helped!

: )

Step-by-step explanation:He can only hold 3 because 170 divivded by 50 = 3 Your welcome!!

Henry would be able to drive 960 miles if he purchased 24 gallons of gas.

Given that Henry's car uses 8 liters of gasoline on average to cover 320 miles.

Let x miles be able to drive if he purchased 24 gallons of gas.

According to the question, the ratio can be calculated as:

320 miles : 8 gallons = x miles : 24 gallons

⇒ 320/8 = x/24  

⇒ (8)(x) = (24)×(320)

Divide each side by 8 to get,

⇒ x = (24)×(320)/(8)

⇒ x = 960

Therefore, he would be able to drive 960 miles if he purchased 24 gallons of gas.

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Answer:

2.23

Step-by-step explanation:

tune able to find the area you should x one side by the other side to find the area 2.23 * 2.23 equals close to 5 square feet

A system of equations that could be used to determine the number of hours the worker worked and the number of shirts the worker made is   28x + 2(4x) = 144

Let x be the number of working hours

She must pay the worker $28 per hour

So, Cost of labor for x hour = 28x

The worker created an average of 4 shirts per hour.

So, number of shirts produced in x hours = 4x

Cost of 1 shirt = 2

Cost of 4x shirts = 2 (4x)

Total expenses for labor and materials = 28x + 2(4x)

We are given that Aaliyah total expenses for labor and materials were $144

So,  28x + 2(4x) = 144

28x + 8x =  144

x = 4

Hence a system of equations that could be used to determine the number of hours the worker worked and the number of shirts the worker made is  28x + 2(4x) = 144

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Answer:

6

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

Conservation of momentum means that the final momentum must be the same as the initial momentum, where the momentum is defined as:

P = m*v

where m is mass, and v is velocity.

First, let's calculate Pi, the initial momentum.

Pi = Pi₁ + Pi₂

Where the subscripts 1 and 2 refer to each puck:

Pi₁ = 0.17kg*15m/s = 2.55 (kg*m/s)

Pi₂ = 0.11kg*0m/s = 0 (kg*m/s)

Pi = 2.55 (kg*m/s) + 0 (kg*m/s) = 2.55 (kg*m/s)

Now, after the collision we have that:

The first puck comes to rest, then:

Pf₁ = 0.17kg*0m/s =  0 (kg*m/s)

And the second puck will have a velocity v, that we want to find:

Pf₂ = 0.11kg*v

Pf = Pf₁ + Pf₂ = 0 (kg*m/s) +  0.11kg*v =  0.11kg*v

And by conservation of momentum we have:

Pi = Pf

2.55 (kg*m/s) = 0.11kg*v

We divide in both sides by 0.11kg

2.55 (kg*m/s)/0.11kg = v

23.2 m/s = v

And from this, the final momentum will be the same as the initial:

Pf = 23.2m/s*0.11kg = 2.55 (kg*m/s)

The total final momentum of the system is 2.55 Kg m/sec and this can be determined by conserving the momentum.

Given :

A hockey puck with a mass of 0.17 kg is traveling to the right along the ice at 15 m/s it strikes a second hockey puck with a mass of 0.11 kg the first hockey puck comes to rest after the collision of conservation of momentum holds.

The formula of the momentum is given below:

P = mv

Now, let conserve the moment, that is:

\(\rm P_i=P_f\)   --- (1)

where \(\rm P_i\) is the initial momentum and \(\rm P_f\) is the final momentum.

First, determine the initial momentum.

\(\rm P_i = 0.17\times 15 + 0.11\times 0= 2.55\;Kg\;m/sec\)

Now, determine the final momentum.

\(\rm P_f = 0.17\times 0+ 0.11\times v = 0.11v\;Kg\;m/sec\)

Now. substitute the value of \(\rm P_i\) and \(\rm P_f\) in the equation (1).

\(\rm 2.55=0.11v\)

v = 23.18 m/sec

So, the final momentum can be calculated as:

\(\rm P = 23.18 \times 0.11\)

P = 2.55 Kg m/sec

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Given the following details about the tensile strength of a metal part - normally distributed with mean μ = 40lb and standard deviation σ = 8lb. Lower specification limit LSL = 34lb and Upper specification limit USL = 48lb.

The probability of the parts that fail to meet the specification can be calculated by finding the area under the normal distribution curve to the left of the LSL and to the right of the USL.

The formula for z-score is,z = (X - μ)/σwhere X is the tensile strength of a metal part.z1 = (LSL - μ)/σz1 = (34 - 40)/8z1 = -0.75z2 = (USL - μ)/σz2 = (48 - 40)/8z2 = 1.0

The percentage of parts fail to meet specification isP(z < z1) + P(z > z2)P(z < -0.75) + P(z > 1.0)P(z < -0.75) = 0.2266 (from standard normal distribution table)P(z > 1.0) = 0.1587 (from standard normal distribution table)P(z < z1) + P(z > z2) = 0.2266 + 0.1587 = 0.3853The percentage of parts fail to meet specification is 38.53%.Hence, the answer is 38.53%.

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Eli gained 92 yards rushing, while Samuel gained 122 yards, totaling 214 yards between them during the football game.

Eli gained 92 yards rushing in the football game. Samuel gained 30 more yards than Eli. To find Samuel's total yards, we add the additional 30 yards to Eli's total. Therefore, Samuel gained a total of 92 + 30 = 122 yards.

To calculate the total number of yards gained by Eli and Samuel during the game, we sum their individual yardage. Eli gained 92 yards, and Samuel gained 122 yards, resulting in a combined total of 92 + 122 = 214 yards.

In summary, Eli gained 92 yards rushing, and Samuel gained 30 more yards than Eli, for a total of 122 yards. Together, they accumulated 214 yards during the football game.

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The number of people in a household with 2.5 pounds of waste are = 11

and we calculate this on the basis of question below

Predict the number of people in a household with 2.5 pounds of waste pounds of waste 0.27,1.41,2.19,2.83,2.19,1.81,0.85,3.05. In Home 2 3 3 6 4 2 1 5

pound    0.27  ,1.41,  2.19  ,2.83  ,2.19  ,1.81  ,0.85,  3.05  

people      2          3      3       6        4        2        1       5

so now the question is complete

in pound section we have to take care which value are greater than 2.5

so 2.83 and 3.05 is greater than 2.5 so here  number of people who's home have greater than 2.5 pound of waste are 6+6=11

and rest people who's home has less than 2.5 pound waste are 2+3+3+4+2+1=15

so final ans is 11.

so this question was in complete and this ans is valid for this Question only.

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The probability that we will spin the wheel exactly three times is 0.504 .

Probability of landing on blue: 65%

Probability of landing on red: 21%

Probability of landing on green: 14%

Probability of not landing on blue: 100% - 65% = 35%

1. Not landing on blue for the first two spins and landing on blue on the third spin.

Probability = (0.35) × (0.35) × (0.65) = 0.080

2. Not landing on blue for the first spin, landing on blue on the second spin, and landing on blue on the third spin.

Probability = (0.65) × (0.35) × (0.65) = 0.148

3. Landing on blue on the first spin, not landing on blue on the second spin, and landing on blue on the third spin.

Probability = (0.65) × (0.65) × (0.65) = 0.276

Total Probability = 0.080 + 0.148 + 0.276 =  0.504

The probability of spinning the wheel exactly three times until landing on blue is approximately 0.504

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Answer:

15

Step-by-step explanation:

subtract 12 on both sides and you get

x=27-12

x=15

Answer:

I think your answer is 15

Step-by-step explanation:

Hope this helped  you

omg what is the......................

Answer:

x = 6

Step-by-step explanation:

Just a hunch

Answer:

The x-axis interval of 39 to 65 has the smallest rate of change.

Step-by-step explanation:

See the attached worksheet.  The interval of x that results in the least change in y can be visually seen by plotting the points and drawing a curve.  The curve begins to flatten as x increases.  So the smallest rate of change is between the last two points, x = 39 to 65.

This can also be calculated by finding the change in y per a change in x.  The table in the graph confirms the earlier observation.  Dx and Dy represent the "delta," or difference, D,  between the x (Dx) and y(Dy) values.  The rate of change is calculated as Dy/Dx, or the change in y divided by the change in x.  The results confirm that the 39 to 65 segment is the smallest, at 0.15.

The probability that the sample mean would differ from the true mean by less than 0.5 dollars is approximately 0.0000.By calculating the z-score for a difference of 0.5 dollars, we can then determine the probability using the standard normal distribution.

To calculate the probability that the sample mean would differ from the true mean by less than 0.5 dollars, we can use the Central Limit Theorem. Given that the mean cost of a five pound bag of shrimp is $46 with a standard deviation of $7, and a sample size of 49 bags, we can consider the distribution of sample means. Since the sample size is large (n ≥ 30), we can assume that the distribution of sample means will be approximately normal.

According to the Central Limit Theorem, for a sample size of 49 or larger, the distribution of sample means will be approximately normal, regardless of the shape of the original population. In this case, the mean cost of a five pound bag of shrimp is $46 with a standard deviation of $7. Since we are interested in the probability that the sample mean differs from the true mean by less than 0.5 dollars, we need to calculate the z-score for a difference of 0.5 dollars.

The z-score can be calculated using the formula: z = (x - μ) / (σ / sqrt(n)), where x is the desired difference (0.5 dollars), μ is the true mean ($46), σ is the standard deviation ($7), and n is the sample size (49). Substituting the values into the formula, we get: z = (0.5 - 46) / (7 / sqrt(49)) = -45.5 / (7 / 7) = -45.5 / 1 = -45.5.

Now, we can use the standard normal distribution table or a calculator to find the probability corresponding to the z-score of -45.5. However, since the z-score is extremely large, the probability will be extremely close to 0. Therefore, we can round the answer to four decimal places and conclude that the probability that the sample mean would differ from the true mean by less than 0.5 dollars is approximately 0.0000.

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Always check the quantity in each package to determine the appropriate number of hotdog bun packages needed for the given number of hotdog packages.
The dependent variable in this situation is the number of packages of hotdog buns needed, as it relies on the number of packages of hotdogs (the independent variable).

We want to know the dependent variable when considering the number of packages of hotdog buns needed for a certain number of packages of hotdogs.

Let me explain this relationship:
First, let's define the terms involved.

The dependent variable is the variable that depends on another variable (called the independent variable).

In this case, we are examining the relationship between the number of packages of hotdogs and the number of packages of hotdog buns needed.
The independent variable is the number of packages of hotdogs.

This is because the number of hotdog buns needed depends on the number of hotdogs you have.
The dependent variable, in this case, is the number of packages of hotdog buns needed.

This variable depends on the number of packages of hotdogs, as you need a certain amount of buns to accommodate the hotdogs.

To determine the relationship between these two variables, we would likely use a proportion or a ratio.

For example, if one package of hotdogs contains 10 hotdogs and one package of hotdog buns contains 10 buns, then the ratio is 1:1, meaning you need one package of hotdog buns for every package of hotdogs.
This relationship may vary depending on the number of hotdogs and buns in each package.

Remember to examine the proportion between the two variables to ensure you have the correct amount of buns for the hotdogs.

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An ogive is used to plot cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class when displaying quantitative data. Option B.

An ogive is a graph that represents a cumulative distribution function (CDF) of a frequency distribution. It shows the cumulative relative frequency or cumulative frequency of each class plotted against the upper limit of the corresponding class. In other words, an ogive can be used to represent data through graphs by plotting the upper limit of each class interval on the x-axis and the cumulative frequency or cumulative relative frequency on the y-axis.

An ogive is used to display the distribution of quantitative data, such as weight, height, or time. It is also useful when analyzing data that is not easily represented by a histogram or a frequency polygon, and when we want to determine the percentile or median of a given set of data. Based on the information given above, option B: "Cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class" is the correct answer.

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C. The more reliable survey would be: Tamira's survey is more reliable than Denise's survey, and approximately 1,500 residents of the town would likely be in favor of the construction of a new baseball stadium.

Tаmirа's survеy is mоre reliаble bеcаusе shе survеyed rеsidеnts frоm diffеrеnt sectiоns оf thе town, whiсh is а mоre representаtive sаmple оf thе entire populаtiоn. Denise's survеy, оn thе othеr hаnd, wаs cоnducted аt а bаsebаll gаme, whiсh might hаve introduced а biаs towаrds people who аre mоre likеly to bе in fаvor оf thе new stаdium.

Bаsed оn Tаmirа's survеy, 30 out оf 150 rеsidеnts (20%) аre in fаvor оf thе cоnstructiоn.

If we extrаpolаte this percentаge to thе entire populаtiоn оf 7,500 rеsidеnts, we cаn estimаte thаt аpproximаtely 1,500 rеsidеnts (20% оf 7,500) would likеly bе in fаvor оf thе new bаsebаll stаdium.

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So if you multiply 15 by 6 you get 90 and the 6 is from every years she has saved. So if you take any number 95000 and 15 percent of 95000 is 14250 so try breaking it down and divide as much as you can but not to much and slowly at a time and then when you get that try to get close to 9500 as much as you can cause 90 percent of 95000 is 9500.

Answer: if its 87% then its 0.87, but if its 87 then its 87.00

Step-by-step explanation: I'm doing these questions for a challenge :D

The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.

The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.

To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.

The modified code for binary search in descending order would look like this:

public static int binarysearch2(int[] list, int key) {

   int low = 0;

   int high = list.length - 1;

   while (high >= low) {

       int mid = (low + high) / 2;

       if (key > list[mid])

           high = mid - 1;

       else if (key < list[mid])

           low = mid + 1;

       else

           return mid;

   }

   return -1; // Not found

}

By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.

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Answer:

Yes, they are equivalent!

Step-by-step explanation:

42+35=77

PEMDAS calls for 6+5 ( in parentheses ) which equals 11.

11*7=77

Answer:

equivalent

Step-by-step explanation:

42+35=77

7(6+5)=42+35

which is 77

and 77=77

a. The probability that Z is less than 1.51 is 0.9345. b. The probability that Z is greater than 1.86 is 0.0314. c. The probability that Z is between 1.51 and 1.86 is 0.0249. d. The probability that Z is less than 1.51 or greater than 1.86 is 0.9659.

The standardized normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. We can use the standard normal table to find the probabilities for each part of the question.

a. The probability that Z is less than 1.51 is 0.9345. We can find this by looking up the value of 1.51 in the standard normal table.

b. The probability that Z is greater than 1.86 is 0.0314. We can find this by looking up the value of 1.86 in the standard normal table and subtracting it from 1.

c. The probability that Z is between 1.51 and 1.86 is 0.0314 - 0.0065 = 0.0249. We can find this by subtracting the probability that Z is less than 1.51 from the probability that Z is less than 1.86.

d. The probability that Z is less than 1.51 or greater than 1.86 is 0.9345 + 0.0314 = 0.9659. We can find this by adding the probability that Z is less than 1.51 to the probability that Z is greater than 1.86.

Overall, we can use the standard normal table to find the probabilities for each part of the question.

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Answer:

B and E

Step-by-step explanation:

An expression is a sentence with a minimum of two numbers and at least one math operation

So B and E are expressions

Answer: E & C

Step-by-step explanation:

An expression will not have an equal sign or greater than/less than signs
So, E is an expression and C is an expression

Answer:

\(The \ equation \ in \ point \ and \ slope \ form \ is; \ y - 3 = -\dfrac{1}{2} \cdot (x - 1)\)

Step-by-step explanation:

The coordinates of the points through which the line passes are (1, 3) and (5, 1)

The slope, m, of a line given the coordinates of two known points on the line, (x₁, y₁), (x₂, y₂) can be found as follows;

\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

The slope of the given line is therefore \(m =\dfrac{1-3}{5-1} = \dfrac{-2}{4} = -\dfrac{1}{2}\)

The equation of the line in point and slope form is therefore, y - y₁ = m·(x - x₁) or y - y₂ = m·(x - x₂)

Therefore, by substituting the known values, we have the equation in point and slope form as follows;

\(y - 3 = -\dfrac{1}{2} \cdot (x - 1)\)