Brett tallies up the transactions in his check register and comes up with a total balance of $248.53, but his bank statement says that his balance is $257.72. Which of the following are still outstanding?

Answer:

the given 24.20 is not the discount so we have to subtract it by 100%

Answer:

P'=(-3, -2) , Q'=(3, -2)

Step-by-step explanation:

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

A. To represent the number of grams present after n hours, we can use the equation:

N(n) = 15 × (1 - 0.2)^n

Where:

N(n) is the number of grams present after n hours,

15 is the initial amount of the substance in grams,

0.2 represents the decay rate of 20% per hour, and

^n represents the exponentiation operation.

B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:

N(24) = 15 × (1 - 0.2)^24

Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.

C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:

1 = 15 × (1 - 0.2)^n

To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:

log(0.8)(1/15) = n

Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.

Therefore, the answers are:

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

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Step-by-step explanation:

the answer is 3x+18. vb. bbb b

Step 1:  Order from least to greatest

51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98

Step 2:  Determine the median of the lower half of the data

There are 12 numbers which means that there is going to be 6 numbers on both sides of the data. So using the first 6 numbers we will be able to determine the median of the lower half of the data.

51, 56, 62, 72, 79, 81

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

\((62 + 72) \div 2 = \bold{67}\)

Step 3:  Determine the median of the upper half of the data

So using the first 6 numbers we will be able to determine the median of the upper half of the data.

82, 85, 89, 95, 97, 98

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

\((89 + 95) \div 2 = \bold{92}\)

Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

The length of Marisa's garden is 10

The given parameters are:

Perimeter = 32 feet

Width = 6 feet

The perimeter is calculated as:'

Perimeter = 2 * (Length + width)

So, we have

2 * (Length + 6) = 32

Divide by 2

Length + 6 = 16

Subtract

Length = 10

Hence, the length of Marisa's garden is 10

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Answer

Explanation

Given:

To determine (f º g)(x), we plug in the value of g(x) into f(x) as shown below:

Therefore, the answer is:

Both men are committing fallacies in their reasoning. The occurrence of a hurricane on that land cannot be predicted with certainty, and making decisions based on fallacious reasoning can lead to poor outcomes.

A fallacy refers to the statement in an argument that makes an error in logic. Fallacies are very dangerous because they lead to incorrect thinking about certain topics and may lead to an incorrect conclusion about that topic most of the time.

The fallacy in Poindexter's uncle's reasoning is known as the fallacy of induction. This fallacy occurs when someone assumes that because a certain event has happened in the past, it is likely to happen again in the future. While it is true that the land has been hit by hurricanes 160 times in the past, it doesn't necessarily mean that it will happen again in the near future.

On the other hand, Poindexter's nephew is committing the fallacy of the Gambler's Fallacy. This fallacy occurs when someone assumes that because something hasn't happened in a while, it is more likely to happen soon. In this case, the nephew assumes that a hurricane must be due soon simply because it hasn't happened in the past 13 years. However, the occurrence of a hurricane is not influenced by the time that has passed since the last one. Each hurricane is a unique event that is not influenced by previous occurrences.

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I'm assuming your teacher wants you to calculate the speed

1/2 = 0.5

3 & 1/2 = 3 + 1/2 = 3 + 0.5 = 3.5

If a plane flies 840 miles in 3.5 hours, then,

speed = distance/time

speed = (840 mi)/(3.5 hr)

speed = (840/3.5) mph

speed = 240 mph

La diferencia entre los ángulos AOB y COD del sistema de tres ángulos consecutivos es igual a 25°.

La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°.

Por la geometría Euclídea conocemos que un conjunto de ángulos cuando comparten entre cada par de ángulos vecinos comparten el mismo vértice y la misma semirrecta.

De acuerdo con el enunciado, tenemos las siguientes condiciones:

∠AOB + ∠BOC = 125°   (1)

∠BOC + ∠COD = 100°  (2)

Por (1) y (2) tenemos las siguiente identidad:

∠AOB - 25° = ∠COD

∠AOB - ∠COD = 25°

La diferencia entre los ángulos AOB y COD del sistema de tres ángulos consecutivos es igual a 25°. \(\blacksquare\)

En el segundo caso, tenemos el siguiente sistema:

∠AOB = ∠BOC + ∠COD     (3)

∠AOB + ∠BOC - ∠COD = 40°     (4)

Por (3) y (4) tenemos la siguiente identidad:

2 · ∠BOC = 40°

∠BOC = 20°

La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°. \(\blacksquare\)

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Answer:

56/5 or 11 1/5

Step-by-step explanation:

Convert 1 3/5 to an improper fraction

1 3/5 = (1 x 5 + 3)/5 = (5 + 3)/5 = 8/5

7 x  1 3/5  = 7 x 8/5 = 56/5

In mixed fraction, 56/5 = 11 1/5

the energy carriage is 3.63kg

Answer:

Step-by-step explanation:

Hello,

If you mean

\((f.g)(x)=f(x).g(x)=(x-1)(5x-2)=5x^2-7x+2\)

If you mean

\((fog)(x)=f(g(x))=(5x-2)-1=5x-3\)

Thanks

Answer: 6

Step-by-step explanation: 8 x 4 = 32 leaving 6 extra apples

Answer:

38 divided by 8 is 3.75. You will have 3 bags of apples with 6 apples remaining.

Step-by-step explanation:

8 + 8 = 16

16 + 8 = 24

24 + 8 = 32

75m+500

You have the 500 as the initial amount and the 75m is how much juan adds each month

Answer:

14

Step-by-step explanation:

i got it right and you can tell that they are almost the same size.

Answer: around -$0.77

Step-by-step explanation:

To calculate the expected value of this lottery game, we need to find the probability of winning the game and the probability of losing the game.

Probability of winning:

There are a total of C(25, 6) possible combinations of choosing 6 numbers out of 25, where C(n, k) represents the number of combinations of choosing k items from a set of n items. The formula for combinations is:

C(n, k) = n! / (k!(n-k)!)

C(25, 6) = 25! / (6!19!) = 177100

So, there are 177,100 possible combinations. Since there's only 1 winning combination, the probability of winning is:

P(Winning) = 1 / 177,100

Probability of losing:

Since there's only 1 winning combination, the probability of losing is:

P(Losing) = 1 - P(Winning) = 1 - (1 / 177,100) = 177,099 / 177,100

Expected value:

Now, we can calculate the expected value (EV) by multiplying the probabilities of each outcome by their respective values and then summing up these products:

EV = P(Winning) * Value(Winning) + P(Losing) * Value(Losing)

EV = (1 / 177,100) * $40,000 + (177,099 / 177,100) * (-$1)

EV ≈ ($40,000 / 177,100) - ($177,099 / 177,100)

EV ≈ $0.2256 - $1

EV ≈ -$0.7744

The expected value of this lottery game is approximately -$0.7744. This means that, on average, a player would lose about 77.44 cents per game.

To calculate the variance follow these steps:

1. Work out the Mean

2. Then for each number: subtract the Mean and square the result .

3. Then work out the average of those squared differences.

The data are 10, 11, 12, 13, 14, 18

The first step find the mean

The mean = sum of data/number of data

The sum = 10 + 11 + 12+ 13 +14 + 18 = 78

The number =

Research Report:

Title: The Number of Coins Carried by Teachers

Introduction:

This research report aims to investigate the number of coins carried by teachers. The study seeks to understand the reasons behind carrying coins and whether there are any patterns or correlations between the number of coins and certain factors such as age, gender, and occupation.

The data was collected through a survey distributed among teachers from various educational institutions. The findings of this study provide insights into teachers' habits and preferences when it comes to carrying coins.

Results and Analysis:

A total of 300 teachers participated in the survey. The data revealed that the majority of teachers (60%) carry less than 5 coins, while 25% carry between 5 and 10 coins. Only a small percentage (15%) reported carrying more than 10 coins.

Further analysis based on demographic factors indicated that age and occupation had a significant influence on the number of coins carried. Older teachers were more likely to carry fewer coins, with 70% of teachers above the age of 50 carrying less than 5 coins.

Additionally, primary school teachers tended to carry more coins compared to secondary school teachers.

Discussion and Interpretation:

The findings suggest that the number of coins carried by teachers is influenced by various factors.

Teachers may carry coins for a range of reasons, such as purchasing small items, providing change for students, or utilizing vending machines.

The lower number of coins carried by older teachers could be attributed to a shift towards digital payment methods or a preference for carrying minimal cash.

The discrepancy between primary and secondary school teachers could be due to differences in daily activities and responsibilities.

This research provides valuable insights into the habits and preferences of teachers regarding the number of coins they carry.

Understanding these patterns can assist in designing more efficient payment systems within educational institutions and potentially guide the development of tailored financial solutions for teachers.

Further research could explore the reasons behind carrying coins in more depth and investigate how the digitalization of payments affects teachers' behavior in different educational contexts.

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Answer:

it's being multiplied by 5 each number, if the pattern continues it would equal 0. But a zero exponent is 1 so it would be 5 as well because 5 x 1 is 5.

Step-by-step explanation

The pattern that can be noticed here is that each time the power of 5 is decreased by 1, the value of the resulting expression is divided by 5.

A number system is defined as a system of writing to express numbers.

The pattern that can be noticed here is that each time the power of 5 is decreased by 1, the value of the resulting expression is divided by 5.

As 5³ = 125, and then reduce the power of 5 by 1 to get 5², we can find the value by dividing 125 by 5, which gives us 25.

Similarly, to find the value of 5¹, we divide 25 by 5 to get 5.

If a is a positive number and n is a positive integer, then

aⁿ = (aⁿ⁻¹) x a

So, we can say that to find a power of a number when we know the value of a power that is either greater than or lesser than it by 1, we can multiply or divide the known value by a.

Hence, pattern that can be noticed here is that each time the power of 5 is decreased by 1, the value of the resulting expression is divided by 5.

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The integer +3 describes the statement, 3 inches above average.

What is an average?

A single number chosen to represent a group of numbers is called an average, and it is typically calculated by dividing the total number of numbers in the group by the number of numbers in the group. As an illustration, the sum of the integers 2, 3, 4, 7, and 9 is 5.

One point in the average refers to the amount of 1 inch.

If the average is above 3 inches, it means that the value of the average is above 3 inches. It further implies that the total value has gained 3 inches on that average.

Inches mainly describe the gains and losses in short-time investments. A positive sign (+) shows the above average, and a negative sign (-) represents the below average.

Therefore, the integer +3 describes the statement, 3 inches above average.

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Answer:

Segment bisector = M

RS = 44

Step-by-step explanation:

Segment bisector is the point that cuts a line segment into two equal halves. The two segments formed by the segment bisector are congruent, and have the same length.

The segment bisector of line segment RS shown above is M.

M cuts RS into two equal parts. This implies that RM = MS.

Since MS = 22, RM = 22.

Therefore, RS = RM + MS

RS = 22 + 22 = 44.

Answer:

C

Step-by-step explanation:

0.2(7x + 18) ← multiply each term in the parenthesis by 0.2

= 1.4x + 3.6 → C

The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.

To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.

Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.

The total weight equation is given by:

x + y = 1900

The protein content equation is given by:

(0.70x + 0.20y) / 1900 = 0.55

Simplifying the second equation, we get:

0.70x + 0.20y = 0.55 × 1900

0.70x + 0.20y = 1045

Now, we can solve this system of equations to find the values of x and y.

Rearrange the first equation to solve for x:

x = 1900 - y

Substitute this expression for x in the second equation:

0.70(1900 - y) + 0.20y = 1045

1330 - 0.70y + 0.20y = 1045

1330 - 0.50y = 1045

-0.50y = 1045 - 1330

-0.50y = -285

y = -285 / -0.50

y = 570

Now substitute this value of y back into the first equation to find x:

x + 570 = 1900

x = 1900 - 570

x = 1330

Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.

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The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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The conditional probability for this problem is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

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Answer:

1/27 units cubed or 0.037037... units cubed

Step-by-step explanation:

Volume of a cube = s*s*s : Where s is a side length.

The volume of the first cube is 1 cubed, which means that each side length is 1. (s=1)

The volume of the second cube in relation to the first cube can be found by multiplying each side length by 1/3.

Volume of second cube= (1/3s)(1/3s)(1/3)s

Volume of second cube= (1/3)(1/3)(1/3)

Volume of second cube= 1/27

Answer:

96

Step-by-step explanation:

Surface area=2*Area of triangle+Area of different rectangular strips

Surface area=2*(1/2)*(48)+2*8+2*6+2*10=48+48=96