simplify 2m exponent of 0 n exponent of 6 over 3n exponent of 5

Answer:

Original Price = Sale Price / ( 1 - Percent Off / 100 )

                       = 57.75 / (1 - 30/100)

                       = 57.75 / (1 - 0.3)

                       = 57.75 / 0.7

                       = $82.50

Original price = $82.50

Answer:

y=7/3x²-13/3x+2

Step-by-step explanation:

Determine the value of c:

y=ax²+bx+c

2=a(0)²+b(0)+c

2=c

Substitute (1,0) into the quadratic and create an equation with a and b:

y=ax²+bx+2

0=a(1)²+b(1)+2

0=a+b+2

-2=a+b

Do the same with (3,10) to get a second equation:

y=ax²+bx+2

10=a(3)²+b(3)+2

10=9a+3b+2

8=9a+3b

Set the two equations equal to each other and solve for a and b:

-2=a+b

8=9a+3b

Multiply first equation by 3 and eliminate b to find a:

 -6=3a+3b

- (8=9a+3b)

_______

-14=-6a

14/6=a

7/3=a

Substitute 7/3=a into the first equation:

-2=7/3+b

-2-(7/3)=b

-13/3=b

Final equation:

y=7/3x²-13/3x+2

See the graph for a visual representation

Answer:

-99232

Step-by-step explanation:

PEMDAS

Solve in the brackets/parenthesis and expand out

4*9=36*3=108-12=96

Now we have (96)*8-10^5

Next up is exponents so -10^5 is -100000

Next is multiplication so  (96)*8=768

Lastly is subtraction: 768-100000= -99232

Scientific notation of this answer is -9.9232*10^4 (depends which answer they are looking for)

Answer:

For A, it is (from term 4 to 7) 8, 10, 12, 14 (Sequence is n+2)

For B it is (from term 5 to 7) 11, 14, 17, 20 (Sequence is n+3)

For C it is 6, 0, -6, -12 (Sequence is n-6)

Answer:  A. term 4 = 8 , term 5 - 10,term 6 - 12, term 7- 14  

B. Term 4- 11

C. Term 4- 6

Step-by-step explanation:

For the A just keep adding 2 to each answer u get the terms

for B keep adding 3 to each answer u get the terms

for C keep subtracting 6 to get the terms

Answer:

21

Step-by-step explanation:

5243

If 12 was remove from the data set, it will remain same

A box plot is a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

According to the given topic the box plot represent the number of children in 30 different families.

and the value of 12 is remove for error.

so, if the median is 2 children for both the plots.

When 12 was remove from the data set, it will remain same

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Answer:

The asnwer in the bottom right corner is correct. When multiplying exponents with the same base all you do is add the exponent for example: For 9 to the 6 power times 9 to the 4 power the answer is 9 to the 10 since we just add 4 and 6

Step-by-step explanation:

a)  f is a bijection between the set of balanced strings in \(T^6\) and the set of strings in\(T^5.\) b) the total number of balanced strings in T6 is 727 + 192 + 192 = 1111.

Let x ∈ T6 be a balanced string. We define the function f : T6 → T5 by removing the last digit of x. That is, f(x) is the string obtained from x by deleting the sixth digit. It is clear that f(x) is a string in T5.

To show that f is a bijection, we need to show that it is both injective and surjective.

Injective: Suppose f(x) = f(y) for some x, y ∈ T6. Then x and y differ only in their last digit. Since the sum of the digits of x and y are both multiples of 3, their last digits must be congruent modulo 3. But the only way for two digits in T to be congruent modulo 3 is if they are the same. Therefore, x and y are identical except for their last digit, so x = y, and f is injective.

Surjective: Let y ∈ T5 be an arbitrary string. We define x ∈ T6 by adding a digit to the end of y such that the sum of the digits of x is a multiple of 3. We can always find such a digit, since adding any digit from T will either leave the sum unchanged or change it by 1 modulo 3. Therefore, f(x) = y, and f is surjective.

Since f is both injective and surjective, it is a bijection.

b) To count the number of balanced strings in T6, we note that there are three cases to consider: the sum of the digits is 0 mod 3, 1 mod 3, or 2 mod 3.

Case 1: The sum is 0 mod 3. In this case, we must choose six digits from {0, 1, 2} such that their sum is a multiple of 3. We can choose any combination of digits from {0, 1, 2} except for all 0's or all 2's. There are 3^6 - 2 = 727 cases in this case.

Case 2: The sum is 1 mod 3. In this case, we must choose five digits from {0, 1, 2} such that their sum is 2 mod 3, and then add a sixth digit that is 2 mod 3. There are (3 choose 2) * 2^5 = 192 cases in this case.

Case 3: The sum is 2 mod 3. In this case, we must choose five digits from {0, 1, 2} such that their sum is 1 mod 3, and then add a sixth digit that is 1 mod 3. There are (3 choose 2) * 2^5 = 192 cases in this case.

Therefore, the total number of balanced strings in T6 is 727 + 192 + 192 = 1111.

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The probability of selecting exactly one ace is its likelihood

The probability that a five-card poker hand contains exactly one ace is 29.95%

There are 4 aces in a standard deck of 52 cards.

The probability of selecting an ace would be:

p = 4/52

Also, there are 48 non-ace cards in the standard deck

So, the probability of selecting a non-ace after an ace has been selected is:

p = 48/51

The probability of selecting a non-ace up to the fifth selection are:

The required probability is then calculated as:

P(1 Ace) = n * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)

Where n is the number of cards i.e. 5

So, we have:

P(1 Ace) = 5 * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)

Evaluate

P(1 Ace) = 0.2995

Express as percentage

P(1 Ace) = 29.95%

Hence, the probability that a five-card poker hand contains exactly one ace is 29.95%

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Answer:

84 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

the volume the box,

V=12 1/3*4 1/2* 7 1/4

V=37/3*9/2*29/4=9657/24=402 3/8

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Driving from North Carolina to Florida at an average speed of 70 mph takes about 7 hours and 12 minutes.

Velocity is a term used to describe how fast an object is moving in a particular direction. It is measured as distance traveled in a period of time and is usually expressed in units of meters per second (m/s). Velocity is an important concept in physics and is used to calculate how fast an object moves in a given environment. Velocity is related to speed, which is the rate of change of distance in a particular direction. Speed ​​is an important factor in many sports and activities such as running, cycling and driving. It is also used in different ways in our daily life. For example, it is used to determine how fast a car can go from A to B, or how long it will take to walk to a destination.

Speed = Distance/Time

55 = Distance/9

Distance = 495 miles

When speed is 70 mph:

70 = 495/Time

Time = 495/70

Time = 7 hours and 12 minutes

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Answer:

Step-by-step explanation:

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

Answer:

A)

Step-by-step explanation:

Answer:

x = 12 and x = -6

Step-by-step explanation:

First subtract 6x on both sides to get a 2nd degree polynomial equal to zero:

\(x^2-6x-72=0\)

To complete the square, the formula is to divide 'b' by 2 and square the result. The general form for a 2nd degree polynomial of the variable 'x' is as follows:

\(ax^2+bx+c=0\)

For your case, b = 6. Therefore, the term that must be added and subtracted to our equation is:

\((6/2)^2=3^2=9\)

Add and subtract 9 to our equation to get:

\(x^2-6x+9-9-72=0\)

The first three terms form a perfect square, we have:

\((x^2-6x+9)-9-72=0\)

\((x^2-6x+9)-81=0\)

What multiplies to equal 9 but adds to equal -6? That would be -3 and -3. Therefore:

\((x-3)^2-81=0\)

Add 81 to both sides to get:

\((x-3)^2=81\)

We want to take the square root, but recall a square root has a positive and negative branch. Therefore we have two solutions:

\(x-3=9\)

\(x-3=-9\)

\(x=12\)

\(x=-6\)

\(( {m}^{2} - 2mn) \div m = m - 2n\)

\( \frac{( {m}^{2} - 2mn)}{m} \)

\( = \frac{ {m}^{2} }{m} - \frac{2mn}{m} \)

\( = m - 2n\)

Answer:

-32

Step-by-step explanation:

To find w(-7) we have to substitute x with -7

w(x)=4x-4

w(x = -7) = 4(-7) -4

w(-7) = -28-4

w(-7) = -32

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

Given that,

We have to find why i squared is equal to negative 1.

We know that,

The imaginary numbers are denoted as i.

We occasionally obtained negative integers in equations when using the radican (square root) symbol to solve them. When they realized this, some would halt and respond, "no actual solution," which is technically accurate. We can further simplify radicals by using the imaginary number I which is the square root of real numbers. We occasionally even manage to get rid of the fictitious element, which provides us with actual solutions.

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

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Answer:

6.) No, you do not agree with Ted.

7.) x = 34 degrees

Step-by-step explanation:

6.) For a triangle to be valid, it must meet these requirements:

a+b>c

a+c>b

b+c>a

If it fails a single one, then it is invalid.

For example: 6+11 is not greater than 4. Therefor, Ted is incorrect

7.) Though you see a square, or rectangle (whatever you want to call it), you can break it up into 2 triangle, only 1 of which you need to solve for.

We have these clues:

angle 1 = x

angle 2 = 56 degrees

angle 3 is a right angle

Any triangle must have its angles sum to 180 degrees

We also know that right angles are equal to 90 degrees.

Our updated clues:

angle 1 = x

angle 2 = 56 degrees

angle 3 = 90 degrees

angles 1+2+3 must equal 180

So we can make this equation:

x+56+90=180

Add like terms and solve for x:

x = 34

Each data point's ones digit is displayed in the second column, while its tens digit is displayed in the first column. Each "1|1" in the key denotes the value "11" in the data collection.

The term "statistical data" refers to numerical data that is gathered from a sample or population in order to characterise or draw conclusions about a larger group. Observational studies, surveys, experiments, and other techniques can all be used to gather statistical data, as can data from already-existing records and databases. Many approaches and methodologies, including data visualisation, inferential statistics, and descriptive statistics, can be used to examine statistical data. Measures of central tendency (mean, median, mode), indicators of dispersion (standard deviation, range, interquartile range), and graphical representations are some examples of the key characteristics of a dataset that are summarised and described using descriptive statistics (histograms, box plots, scatter plots). A bigger population can be inferred from a sample of data using inferential statistics, on the other hand.

given

The stem-and-leaf plot that depicts the data set accurately is as follows:

Season Points for the 2021 Riverside Red Dragon Football

0 0 3

1 1 7 7 7 7

2 0 0 0 2 4 8 8

3 1 3

Key 1|1 = 11

This stem-and-leaf plot depicts the frequency distribution of the data set in an accurate manner.

Each data point's ones digit is displayed in the second column, while its tens digit is displayed in the first column. Each "1|1" in the key denotes the value "11" in the data collection.

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Answer:

110º

Step-by-step explanatio:

6x+20 + 4x+10 = 180

180 - 30= 150

150=10x

10x/150

x = 15

6(15) + 20 = 110

To find the area of a region under the standard normal curve, the following information would typically be provided in the question:

1. The specific boundaries or limits of the region: The question should provide the z-scores or values that determine the starting and ending points of the region of interest. For example, it could specify "Find the area under the standard normal curve between z = -1.5 and z = 2.0."

2. The type of region: The question might specify whether the desired area is for a specific tail (e.g., "Find the area to the left of z = 1.8") or for a specific interval (e.g., "Find the area between z = -0.5 and z = 1.2").

3. Clear instructions or context: The question should provide sufficient context or instructions to ensure a clear understanding of what area needs to be found. It could specify a particular percentage or probability associated with the region, or it could relate to a specific problem or scenario where finding the area under the standard normal curve is necessary.

By providing these details, the question enables you to determine the appropriate steps to calculate the area using methods such as z-tables, statistical software, or mathematical formulas.

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If the probability of having a defect is 20%, then the probability that there is no defect is 0.8 or 80%.

The probability that there is no defect can be calculated by subtracting the probability of having a defect from 1. Since the probability of having a defect is 20%, the probability of no defect is:

1 - 0.20 = 0.80

Therefore, the probability that there is no defect is 80%.

In probability theory, the complement rule states that the probability of an event occurring is equal to 1 minus the probability of its complement. In this case, the event of interest is having no defect, and its complement is having a defect.

If the probability of having a defect is 20%, it means that out of every 100 cases, 20 cases would have a defect. Hence, the remaining 80 cases would not have a defect. This means that the probability of no defect is 80% or 0.80.

By subtracting the probability of having a defect (20%) from 1, we obtain the probability of no defect (80%). This is because the sum of the probabilities of mutually exclusive events must be equal to 1. Therefore, the probability that there is no defect is 80%.

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Answer: 2289.06

Step-by-step explanation:

math expert

Answer:

r = 169.56 in. / 2π ≈ 27 in.

Now we can use the radius to find the area:

Area = πr^2 ≈ π(27 in.)^2 ≈ 2289.06 in^2

So the area of the circular table is approximately 2289.06 square inches, rounded to the nearest hundredth. The answer is option C.

Answer:

A) doubling time growth model

Step-by-step explanation:

Doubling time growth model can be defined as the total or overall number of time it takes for a specific quantity to increase by doubling in value or size at a constant growth rate.

Mathematically, the doubling time growth model is given by the rule of 70;

\(dt = \frac{70}{r}\)

Where,

dt represents the doubling time.

r is the growth rate.

Hence, a doubling time growth model would best describe the population of a city if it increases in size by a factor of two every 29 years. The doubling time growth model is typically used to study or model the human population growth.

Answer:

Step-by-step explanation:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,

and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.

They need to think about how their technology could be used, and whether it could be used to harm people or the environment.

They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,

and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.

For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.

In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.

This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.

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1) Let's begin by enlisting the data orderly from the least to the greatest one.

2) Quartiles

As requested, we need to find the quartiles so let's start out with the 2nd Quartile, i.e. the median.

0,0,0 2, 3,4, 7,7, 8,12,14,15,15,16,18

Note that there are 15 data points, so let's bold the middle number. The one that divides the distribution evenly:

0,0,0,2, 3,4, 7, 7, 8,12,14,15,15,16,18

So the Median or Q2 is 7

b) Quartile 1

Similarly, we can find the median of the first half:

0,0,0,2, 3,4, 7

So, the 1st Quartile is 2

c) Quartile 3

For the 3rd quartile, we can select the 2nd half and find the middle number.

8,12,14,15,15,16,18

So the 3rd Quartile is 15.

d) Interquartile Range

The IQR is found by the difference between Q3 and Q1