Simplify the expression using the properties of exponents. Expand any numerical portion of your answerand only include positive exponents.33-3AnswerKeypadKeyboard Shortcuts
Answers
Given expression:
\(\frac{3}{3^{-3}}\)Aplying the negative law of indices, we have:
\(\frac{1}{3^{-3}}=3^3\)Hence, we can write:
\(\begin{gathered} =\text{ 3 }\times3^3 \\ =3^4 \end{gathered}\)Answer:
\(3^4\)Related Questions
Help Quickly! Which survey would you expect to have fair results regarding attitudes about carnivals?
A. Do you like going to carnivals?
B. Do you like going to exciting carnivals?
C. Do you like traveling across town to go to carnivals?
D. Do you like going to noisy, overpriced carnivals?
Answers
Question A is the survey that you expect to have fair results regarding attitudes about carnivals
How to get the best survey questionThis survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.
Option B uses the adjective "exciting," which could lead people to think positively about carnivals.
Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.
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Is −3 a solution to the equation 3 − 5 = 4+ 2? Explain.
Answers
Answer:
There is no variable so -3 therefore cannot be a solution to this.
Answer:
The answer is: NOt applicable
Step-by-step explanation:
The equation comes down to -2=6 which is impossible
Airline passengers get heavier In response to the increasing weight of airline passengers, the Federal Aviation Administration (FAA) in 2003 told airlines to assume that passengers average 190 pounds in the summer, including clothes and carry-on baggage. But passengers vary, and the FAA did not specify a standard deviation. A reasonable standard deviation is 35 pounds. Weights are not Normally distributed, especially when the population includes both men and women, but they are not very non-Normal. A commuter plane carries 30 passengers.
• (a) Explain why you cannot calculate the probability that a randomly selected passenger weighs more than 200 pounds.
• (b) Find the probability that the total weight of the passengers on a full flight exceeds 6000 pounds. Show your work. (Hint: To apply the central limit theorem, restate the problem in terms of the mean weight.)
Answers
The probability that the total weight of the passengers on a full flight exceeds 6000 pounds is about 0.0147 or 1.47%.
What is the Central Limit Theorem?
The Central Limit Theorem states that the sum of a large number of independent and identically distributed random variables is approximately Normally distributed.
(a) The reason why you cannot calculate the probability that a randomly selected passenger weighs more than 200 pounds is that the weight of passengers is not Normally distributed.
The Normal distribution is a symmetric bell-shaped distribution that is defined by its mean and standard deviation.
The weight of passengers is not symmetric and it may not follow a bell shape.
Therefore, we cannot use the Normal distribution to calculate the probability of a weight greater than 200 pounds.
(b) To calculate the probability that the total weight of the passengers on a full flight exceeds 6000 pounds, we can use the Central Limit Theorem.
Since we don't know the exact distribution of the weight of the passengers, we can use the Central Limit Theorem to approximate the total weight of the passengers on a full flight.
The mean weight of a passenger is 190 pounds, and the standard deviation is 35 pounds. Since a full flight carries 30 passengers, the mean weight of the passengers on a full flight is 19030 = 5700 pounds and the standard deviation is 35sqrt(30) = 175 pounds.
To find the probability that the total weight of the passengers on a full flight exceeds 6000 pounds, we can use the standard normal distribution table.
z = (6000 - 5700) / 175 = 2.2857
Probability P(X > 6000) = P(Z > 2.2857) = 1 - P(Z < 2.2857) = 1 - 0.9853 = 0.0147
Hence, the probability that the total weight of the passengers on a full flight exceeds 6000 pounds is about 0.0147 or 1.47%.
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If Lisa were to paint her living room alone, it would take 3 hours. Her sister Rachel could do the job in 4 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.
Answers
Answer:
12/7 hoursStep-by-step explanation:
Lisa's rate is 1/3 of job per hour
Rachel's rate is 1/4 of job per hour
Their rate if worked together:
1/3 + 1/4 = 4/12 + 3/12 = 7/12 per hourJob will be done in:
1 : (7/12) = 12/7 hoursHURRYYYY
What is m
A 20
B 25
C 45
D 65
Answers
Answer:
A 20°
Step-by-step explanation:
m<P = (65 - 25)/2 = 20
Answer: 20°
7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
Answers
The sum of the terms is x^7+10x^4+4x^3-5x^11-10x^6
How to determine the valueTo determine the value, we need to know that algebraic expressions are described as expressions that are composed of factors, constants, variables, terms and coefficients.
These algebraic expressions are also identified with the presence of arithmetic operations,
These operations are;
AdditionBracketParenthesesSubtractionMultiplicationDivisionFrom the information given, we have that;
7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
collect the like terms
7x^7 - 6x^7+10x^4+4x^3-5x^11-10x^6
add the like terms
x^7+10x^4+4x^3-5x^11-10x^6
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A set of data is described as:
The data is around 12. If another measurement were taken, it would probably be around 12.
Which group of measures would lead to this conclusion?
Range—7
Mode—11
Median—12
Mean—12
Range—6
Mode—11
Median—11
Mean—11
Range—14
Mode—12
Median—9
Mean—12
Range—5
Mode—11
Median—12
Mean—10
Answers
The group of measures which would lead to the provided conclusion is the range is 7, the mean of the data is 12, the median is 12 and the mode is 11.
Given that, the data is around 12. If another measurement were taken, it would probably be around 12.
We need to find which group of measures would lead to this conclusion.
What are the mean, median and mode of the data set?The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.
The median of the data is the middle value of the data set when it arrange in ascending or descending order. The data is around 12 which suggests that the median is 12.
Median=12
The mode of a data set is the value, which occurs most times for that data set. The value which has the highest frequency in the given set of data is known as the mode of that data set.
Mean and mode is around the median. For this case, the mean of the data is 12 and the mode is 11.
Mode=11
Mean=12
Thus, the group of measures which would lead to the provided conclusion is the range is 7, the mean of the data is 12, the median is 12 and the mode is 11.
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A set of twins purchase a small, oddly shaped plot of land for their retirement. They want to divide the parcel along the grid lines into two identical plots. Can they do it and how?
Answers
The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.
To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.
For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.
If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.
However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.
To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.
If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.
the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.
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Note the full question may be :
To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.
Complete the following table given this information: (Do not round intermediate calculations.) Cost of machine $ 94,000 Residual value $ 4,000 Useful life 5 years Estimated units machine will produce 100,000 Actual production: Year 1 60,000
Year 2 15,000 Use MACRS table.
Straight line method?
Units of production?
Declining balance?
MACRS (5-year class)
Answers
The completion of the following table under different depreciation methods is as follows:
Depreciation Expense:Method Year 1 Year 2
Straight line $18,000 $18,000
Units of production $54,000 $13,500
Declining balance $37,600 $22,560
MACRS (5-year class) $18,800 $30,080
Data and Calculations:Cost of machine = $94,000
Residual value = $4,000
Depreciable value = $90,000 ($94,000 - $4,000)
Estimated useful life = 5 years
Depreciation expense:
Straight-line method = $18,000 ($90,000/5)
Estimated units of produciton = 100,000
Unit depreciation rate = $0.90
Actual production Depreciation
Year 1 = 60,000 $54,000 ($0.90 x 60,000)
Year 2 = 15,000 $13,500 ($0.90 x 15,000)
Declining Balance:
Year 1 = $37,600 ($94,000 x 40%)
Year 2 = $22,560 ($94,000 - $37,600) x 40%
MACRS:
Year 1 = $18,800 ($94,000 x 20%)
Year 2 = $30,080 ($94,000 x 32%)
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What is the missing number in this pattern?
1, 7, 8, 15, 23, 38, 61, 99, 160,
Answers
The next number in the sequence is the sum of the two note ious numbers.
The next number would be 99 + 160 = 259
PLEEEEEEASE HELP ME!!! IM DESPERATE! WILL GIVE 30 POINTS! AND I WILL GIVE BRAINLIEST IF I CAN
C. Write a mathematical expression using the information from your table to answer the following questions: 1. What is the mean change in the forecasted high temperatures? Remember, this can be found by averaging the values in the Difference column for the high temperatures. Show your work and steps. If your answer is not an integer, explain what two integers your answer is between. 2. What is the mean change in the forecasted low temperatures? Remember, this can be found by averaging the values in the Difference column for the low temperatures. If your answer is not an integer, explain what two integers your answer is between.
Answers
Answer:oofta sorry i thought i could help but i was wrong
Step-by-step explanation:
A company produces and sells solar panels for $520. The company's daily profit, P(x), can be modeled by the function P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. Use the graph to answer the questions. Graph of function p of x equals negative 6 x squared plus 156 x plus 1,000. The graph has the x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 1000), increases to the vertex at about (13, 2014), and decreases through about (31, 0). Part A: Identify the approximate value of the y-intercept. Explain what the y-intercept means in terms of the problem scenario. (3 points) Part B: Identify the approximate value of the x-intercept. Explain what the x-intercept means in terms of the problem scenario. (3 points) Part C: Identify the approximate value of the maximum of the function. Explain what the maximum of the function means in terms of the problem scenario. (4 points)
Answers
The maximum daily profit the company can earn is $2,350.
It is a set of points in a coordinate plane that represents the values of the function for different inputs.
The function P(x) = −6x² + 156x + 1,000 models the daily profit of the company, where x is the number of $5 price increases for each solar panel. The graph of the function has a vertex at approximately (15, 2350), which represents the maximum point on the graph.
Therefore, the maximum daily profit the company can earn is $2,350.
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Find the distance from the point (1, 4) to the line y = 1/3x – 3. A) 2(square root) 10 units B) 4 units C) 4(square root) 2 units D) 20 units
Answers
Answer:
Distance between line and point =
4√5 -3/2√10
Step-by-step explanation:
Distance between the line is
= √ ((9-0)²+(0+1)²)
= √ (89+1)
= √90
= 3√10
Half of the line = 3/2√10
Distance of one side of the line and the point.
= √((9-1)²+(0-4)²)
= √((8)²+(-4)²)
=√64+16
= √80
= 4√5
Distance between line and point =
4√5 -3/2√10
Answer: 2 square root 10 units
Step-by-step explanation: A
A particular fruit's weights are normally distributed, with a mean of 396 grams and a standard
deviation of 28 grams.
If you pick 10 fruit at random, what is the probability that their mean weight will be between 390
grams and 399 grams
Answers
The probability of the sample mean being between 390 grams and 399 grams is 0.3845.
What is the definition of probability?
Probability is a measure of likelihood of an event to occur. It is stated as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.
If we flip a fair coin, the chance of receiving heads is 0.5 (or 50%) since there are only two potential outcomes, both of which are equally likely. Similarly, the likelihood of getting a 4 on a fair six-sided dice is 1/6 or about 0.167 (or 16.7%).
Now,
To solve this problem, we can use the central limit theorem, which states that the sample mean of a large enough sample will be approximately normally distributed, regardless of the distribution of the population.
The sample size of 10 is large enough to apply the central limit theorem, and we can use the formula for the standard error of the mean:
SE = σ / √(n)
Plugging in the values given in the problem, we get:
SE = 28 / √(10) ≈ 8.85
z = (x - μ) / SE
Where x is the sample mean, μ is the population mean, and SE is the standard error of the mean calculated above.
For the lower bound of 390 grams:
z = (390 - 396) / 8.85 ≈ -0.678
For the upper bound of 399 grams:
z = (399 - 396) / 8.85 ≈ 0.339
Using a standard normal distribution table or calculator, we can find the probabilities associated with these z-scores.
The probability of the sample mean being less than 390 grams is approximately 0.2486, and the probability of the sample mean being less than 399 grams is approximately 0.6331.
Therefore,
the probability of the sample mean being between 390 grams and 399 grams is:
0.6331 - 0.2486 ≈ 0.3845.
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The graph below shows a line of best fit for data collected on the distance drivers traveled as a function of time.Which of the following is the equation of the line of best fit? A. 50/3xB.5/3xC.20/3xD.2/3x
Answers
A line equation can be written in slope-intercept form, whih is
\(y=mx+b\)where m represents the slope and b represents the y-intercept.
Since our line passes through the origin, we already know that b = 0. To find the slope of our line, we can evaluate any of the points that belongs to our line on the slope-intercept form then solve it for m. The point (12, 200) for example belongs to our line. Evaluating this point on the form, we have:
\(\begin{gathered} (200)=m(12)+(0) \\ 200=12m \\ m=\frac{200}{12} \\ m=\frac{50}{3} \end{gathered}\)therefore, our line equation is
\(y=\frac{50}{3}x\)The correct answer is option A.
help with This Math
Answers
Answer:
38°
Step-by-step explanation:
this equal to 38° because angle EGD and angle IGJ are corresponding angles
THIS IS URGENT! I NEED THE ANSWER ASAP!! I don’t really understand how to do this. I need the answer but I’d like a detailed explanation as well! Thank you!
Question:
A map is drawn using the scale 2cm : 100 mi. On the map town B is 3.5 cm from town a, and town see is 2 cm past town B. How many miles apart are Town A and Town C?
Answer choices:
275 Miles
200 Miles
1,100 Miles
550 Miles
Thank you!
Answers
Step-by-step explanation:
yeah its A. because i aakes my math teacher.
The following is a conversion table for millimeters and centimeters. Which numbers belong in the millimeters column?
1, 3, 5
11, 13, 15
10, 30, 50
100, 300, 500
Answers
Answer:
100,300,500
Step-by-step explanation:
Answer:
There is no attached table, however
1 cm = 10 mm
3 cm = 30 mm
5 cm = 50 mm
10 cm = 100 mm
30 cm = 300 mm
50 cm = 500 mm
Therefore, the potential numbers in the millimeters column are:
10, 30, 50 and/or 100, 300, 500
(depending upon the numbers in the centimeter column)
3. An investor plans to invest $500/year and expects to get a 10.5% return. If the investor makes these contributions at the end of the next 20 years, what is the present value (PV) of this investment today?
Answers
The present value (PV) of the investment today is approximately $2,965.05.
To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.
The formula for the present value of an annuity is given by:
PV = C * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present Value
C = Cash flow per period
r = Interest rate per period
n = Number of periods
In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.
Let's plug in these values into the formula and calculate the present value (PV):
PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]
Using a calculator, we can evaluate the expression inside the brackets:
PV = $500 * [(1 - 0.376889) / 0.105]
Simplifying further:
PV = $500 * [0.623111 / 0.105]
PV = $500 * 5.930105
PV = $2,965.05
Therefore, the present value (PV) of the investment today is approximately $2,965.05.
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If you create a matrix, C, to show the inventory at the end of July, the value of the entry represented by C22 is ?
In a matrix with components aij, which represents unit sales for july, the maximum possible value that a31 can have is ?
Answers
Answer:
\(C_{22} = 389\)
\(Max(A_{31}) =376\)
Step-by-step explanation:
Given
See attachment for complete question
Solving (a): The entry C22
First, matrix C represents the inventory at the end of July.
The entry of C is calculated as:
\(C = Inventory - Sales\)
i.e.
\(C = \left[\begin{array}{ccc}543&356&643\\364&476&419\\376&903&409\end{array}\right] - \left[\begin{array}{ccc}102&78&97\\98&87&59\\54&89&79\end{array}\right]\)
\(C = \left[\begin{array}{ccc}543-102&356-78&643-97\\364-98&476-87&419-59\\376-54&903-89&409-79\end{array}\right]\)
\(C = \left[\begin{array}{ccc}441&278&546\\266&389&360\\322&814&330\end{array}\right]\)
Item C22 means the entry at the second row and the second column.
From the matrix
\(C_{22} = 389\)
Solving (b): The maximum A31 possible.
From the given data, we have:
\(Inventory = \left[\begin{array}{ccc}543&356&643\\364&476&419\\376&903&409\end{array}\right]\)
\(Unit\ Sales = \left[\begin{array}{ccc}102&78&97\\98&87&59\\54&89&79\end{array}\right]\)
From the matrices above.
A31 means entry at the 3rd row and 1st column.
So, the possible values of A31 are:
\(A_{31} = 376\)
and
\(A_{31} = 54\)
By comparison, 376 > 54
So:
\(Max(A_{31}) =376\)
5v– 1/2 =4+ 3/2 v
How does one person solve this if the like terms are on opposite sides?
Answers
Answer:
Step-by-step explanation:
Given
\(5v - 1/2 = 4 + 3/2v\)
Required
Solve
We have:
\(5v - 1/2 = 4 + 3/2v\\\)
Collect like terms
\(5v - 3/2v = 4 + 1/2\)
Express fractions as decimals
\(5v - 1.5v = 4 + 0.5\)
\(3.5v = 4.5\)
Make v the subject
\(v= \frac{4.5}{3.5}\)
Divide by .5
\(v= \frac{9}{7}\)
can i get help please
Answers
Answer:
20
Step-by-step explanation:
side BC = side AB
so their base angles that is ∠A = ∠C = (3x+20)°
now, total measure of the angles of a triangle is 180° & ∠B = x°
Now,
m∠A + m∠B + m∠C = 180
⇒ 3x + 20 + x + 3x + 20 = 180
⇒ 7x + 40 = 180
⇒ 7x = 140
⇒x = 20
5 2/3 + 3 1/2 =
Your answer
Answers
Answer:
9 1/6
Step-by-step explanation:
Add the whole numbers: 5+8
Combine the fractions by making their denominator the same: 7/6
Add 6/6 = 1 so add to the whole numbers to make this a mixed fraction.
Answer:
9 1/6
Step-by-step explanation:
5 2/3 + 3 1/2 =
We need to get a common denominator of 6
5 2/3 *2/2 = 5 4/6
3 1/2 *3/3 = 3 3/6
5 4/6 + 3 3/6
8 7/6
8+ 6/6 + 1/6
8 + 1 + 1/6
9 1/6
Graph the equation −3x+5y=7 by plotting points using the line tool.
Answers
A graph of the linear equation -3x + 5y = 7 in slope-intercept form is shown in the image attached below.
What is a graph?In Mathematics, a graph is a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate respectively.
Next, we would rearrange and simplify the given given linear equation in slope-intercept form in order to enable us plot it on a graph:
-3x + 5y = 7
5y = 3x + 7
y = 3x/5 + 7/5
Lastly, we would use an online graphing calculator to plot the given function as shown in the graph attached below.
In conclusion, the slope of this linear equation is equal to 3/5 and it does not represent a proportional relationship.
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Here we go, here we go It's about time that we set it off Here we go, here we go Red lights, I could never stop A dreamer with the fever to be great was all I ever want Was all I ever wanted (wanted) A fighter with the fever for the fame was all I ever want Was all I ever wanted Got me singin' like Bang, bang Bang, bang Bang, bang Let's fire the weapon Bang, bang Bang, bang Bang, bang Won't stop till we're legend Won't stop till we're legend Here we go, here we go It's my turn to make history Here we go, here we go When I'm gone they'll remember me, yeah A dreamer with the fever to be great was all I ever want Was all I ever wanted (wanted) A fighter with the fever for the fame was all I ever want Was all I ever wanted Got me singin' like Bang, bang Bang, bang Bang, bang Let's fire the weapon Bang, bang Bang, bang Bang, bang Won't stop till we're legend Won't stop till we're legend Won't stop till we're legend Blood, sweat, I'll break my bones Till all my scars bleed golden My name's forever known Woah-oh, woah-oh Blood, sweat, I'll break my bones Till all my scars bleed golden My name's forever known Woah-oh, woah-oh Blood, sweat, I'll break my bones (bang, bang) Till all my scars bleed golden My name's forever known (Bang, bang, won't stop till we're legend) Bang, bang, won't stop till we're legend Won't stop till we're legend
Answers
Answer:
NICE
Step-by-step explanation:
I need help with this math vocab review. You have to unscramble the circled letters to find the riddle on the bottom of the page.
Answers
Answer:
it tells you which lessons to go to . did you answer the questions on those pages
Step-by-step explanation:
What is the total weight of candy in a 5/6 pound bag site
Answers
We can see here that the total weight of candy in a 5/6 pound bag site is 377 grams.
What is weight?Weight is a measure of the force exerted by gravity on an object. It is the measure of how heavy an object is. Weight is typically expressed in units such as pounds or kilograms. The weight of an object can vary depending on the gravitational force acting on it.
There are 16 ounces in a pound.
Thus, a 5/6 pound bag of candy weighs
5/6 × 16 = 13.3 ounces.
If you want to know the weight in grams, 13.3 ounces is equal to 377 grams.
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Please help me please thank
Answers
Answer:
x=20
Step-by-step explanation:
<2 = <3 when the lines are parallel
3x-10 = x+30
Subtract x from each side
3x-10 -x = x+30-x
2x-10 = 30
Add 10 to each side
2x-10 +10 = 30+10
2x = 40
Divide by 2
2x/2= 40/2
x =20
What is the predicted profit when the number of items made (x) is 2,500, and the number of stores stocking the product (x2) is 5, using the estimated regression equation y=550 + 30x1 + 9x2? a. 1,345 b. 23,200 c. 8,095 d. 75,595
Answers
Answer:
d. 75,595
Step-by-step explanation:
Given the estimated regression equation :
y=550 + 30x1 + 9x2
if number of items made (x) = 2500 ; number of stores stocking the product (x2) = 5
Predicted profit (y) will be :
Substitute the values x1 = 2500 and x2 = 5 into the estimated regression model:
y=550 + 30(2500) + 9(5)
y = 550 + 75000 + 45
y = 75595
Hence, the predicted profit will be 75,595
Can I please get some help I’ve been stuck on this question for a while!
Answers
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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