Are roots biotic or abiotic?

Answer:

17.04545

Step-by-step explanation:

try this

Answer:

17%

Step-by-step explanation:

88 - 73 = 15

15 divided by 88 = 0.170

round to the nearest percent, 17%.

Hope this helps

Operating Income $21,950

Yes. The franchisees still earn target profit.

Requirement 1.

Contribution margin per unit $4.55

X Average sales volume units 7,000

Contribution margin $31,850

Less: Fixed expenses $7,800

Operating Income $24,050

Requirement 2.

Contribution margin per unit $4.05 ($6.50 - $2.45)

X Average sales volume units 7,500

Contribution margin $30,375

Less: Fixed expenses $8,425

Operating Income $21,950

Yes. The franchisees still earn the target profit.

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The area of the trapezoid is 115 square units.

The sine ratio since we know the opposite and hypotenuse sides of the triangle. The sine ratio is defined as:
sin(theta) = \(\frac{opposite}{hypotenuse}\)
Where theta is the angle opposite the given side.
In this case, we have:
sin(35) = \(\frac{x}{9}\)
To solve for x, we can multiply both sides by 9:
9 * sin(35) = x
Using a calculator, we find that x is approximately 5.15.
Now that we know x, we can use the Pythagorean theorem to find the other side length of the triangle.

The Pythagorean theorem states that for any right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse).

In this case, we know the hypotenuse (9) and one of the shorter sides (x = 5.15), so we can solve for the other shorter side, y:
\(y^2\) + \(5.15^2\) = \(9^2\)
\(y^2 = 9^2 - 5.15^2\)
\(y^2 = 42.7675\)
y = sqrt(42.7675)
y is approximately 6.54.
To solve this problem, we can use the formula for the area of a trapezoid:

A = (b1 + b2)h/2

Where b1 and b2 are the lengths of the parallel bases of the trapezoid, and h is the height (or altitude) of the trapezoid. We are given the lengths of the bases and the height, so we can plug them into the formula and solve for the area.

A = (15 + 8)(10)/2

A = 23(5)

A = 115

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This means that the error in the approximation is less than 0.015 when x = 1. We can repeat this calculation for other values of x to get an idea of how well the third degree Taylor polynomial approximates the exponential function.

When x = 0, we have e^0 = 1 and P3(0) = 1, so the error is:

e^0 - P3(0) = 1 - 1 = 0

Therefore, when x = 0, the error in the approximation is zero.

To understand the error in the approximation for other values of x, we can use the remainder term of the Taylor series:

Rn(x) = f^(n+1)(c) * (x-a)^(n+1) / (n+1)!

where c is some value between a and x. For the exponential function, f^(n+1)(x) = e^x for all n.

For the third degree approximation, we have:

R3(x) = e^c * x^4 / 4!

where c is some value between 0 and x.

To find an upper bound on the error, we can use the fact that e^c is always less than or equal to e^x (since the exponential function is increasing). Therefore:

|R3(x)| ≤ e^x * |x|^4 / 4!

For example, when x = 1, we have:

|R3(1)| ≤ e^1 * |1|^4 / 4! ≈ 0.015

This means that the error in the approximation is less than 0.015 when x = 1. We can repeat this calculation for other values of x to get an idea of how well the third degree Taylor polynomial approximates the exponential function.

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Answer:

The function relating student absent days to grades has a negative slope (grades decrease as absences increase).

Step-by-step explanation:

There isn't much information in the question, but here are a couple of observations.  Prof. Andrews found:

Just kidding on the last 2, but all statements could be valid based on what little information is provided.

Answer:

True.

Step-by-step explanation:

We assume that the plane is flying at a constant height above the ground.

The angle of elevation is the angle made between the plane, you and the point on  the ground directly below the plane. As the plane approaches you the distance between you and the point on the ground decreases and therefore the angle of elevation increases.

Answer:

the statement is false there is no solution

Step-by-step explanation:

step 1       -7(a-3)=11-7a

step 2      -7a+21=11-7a

step 3      cancel out the -7a's

step 4       you are left with 21=11 which does not work so it is false

Answer:

\(c) 82\)

\( d) - 11\)

\(g)27\)

\(h)1000\)

\(k)11\)

\(l) 8\)

Step-by-step explanation:

\( {9}^{2} + 1 \\ = (9 \times 9) + 1 \\ = 81 + 1 \\ = 82\)

\( {6}^{2} - {5}^{2} \\ = (6 \times 6) - (5 \times 5) \\ = 36 - 25 \\ = - 11\)

\((1 + 2 {)}^{3} \\ = {3}^{3} \\ = 3 \times 3 \times 3\\ = 27\)

\((2 + 8 {)}^{3} \\ = {10}^{3} \\ = (10 \times 10 \times 10) \\ = 1000\)

\( \sqrt{4} + {3}^{2} \\ = 2 + {3}^{2} \\ = 2 + (3 \times 3) \\ = 2 + 9 \\ = 11\)

\(2 \times 5 - \sqrt{4} \\ = 10 - \sqrt{4} \\ = 10 - 2 \\ = 8\)

Answer:

x = 1/2

y = 4

Step-by-step explanation:

4x - y = -2     --------------------(I)

2x + 3y = 13 --------------------(II)

Multiply equation (I) by 3 and then add

(I)*3         12x - 3y = -6

(II)             2x  + 3y = 13           {Now add and so y will be eliminated}

               14x         = 7

                          x = 7/14

x = 1/2

Plugin x = 1/2  in equation (I)

\(4*\frac{1}{2}-y = -2\)

  2 - y = -2

     -y  = -2 - 2

     -y = -4      

   y = 4

Answer:

x=1/2

y=4

Step-by-step explanation:

4x-y=-2

-y=-4x-2

y=4x+2

2x+3y=13

2x+3(4x+2)=13

2x+12x+6=13

14x=7

x=1/2

y=4x+2

y=4(1/2)+2

y=2+2

Y=4

Answer:

1st = 22

2nd = 24

3rd = 26

Step-by-step explanation:

1st = x

2nd = x +2

3rd = x + 4

6(x + x + 4) = 24 + 11(x + 2)

6(2x + 4) = 24 + 11x + 22

12x + 24 = 46 + 11x

x + 24 = 46

x = 22

x + 2 = 24

x + 4 = 26

The three consecutive even numbers are 22, 24 and 26

An even number is a number that can be divided by 2 and there would be no remainder. Examples of even numbers are 2, 4, 6, 8, 10

Let:

x represent the first even number

(x +2) represent the second even number

(x +4) represent the third even number

The equation that represents the verbal explanation in the question is:

6[ x + (x +4)] = 24 + 11(x + 2)

6(2x +4) = 24 + 11x + 22

12x + 24 = 46 + 11x

Combine similar terms

12x - 11x = 46 - 24

x = 22

(x + 2)=  22 + 2 = 24

(x + 4) = 22 + 4 = 26

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Answer:

F type connector

Step-by-step explanation:

Use an F-type connector for broadband cable connections that use coaxial cable.

The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,

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Answer:

Saiful has earned RM 50 after 3 months.

Step-by-step explanation:

We are given the following:

x = 5000

y = 4% per 12 months (annually)

[Convert 4%/1 yr to three months]

Because 1 year = 12 months = 4% then:

3 months is 25% of 12 months, so find 25% of 4%.

25% of 4% is 1%

y = 1%

[Multiply x by y]

x * y = 5000*1% = 5050

[Subtract 5050 by the original, 5000]

5050 - 5000 = 50

Saiful has earned RM 50 after 3 months.

Answer:

-2+2x

Step-by-step explanation:

Answer:

yes(9)

Step-by-step explanation:

Answer:

a₁ = 37

Step-by-step explanation:

In an arithmetic progression the common difference d is

d = a₂ - a₁ = a₃ - a₂ , that is

2x - 18 - (x + 1) = 2x - 1 - (2x - 18) ← distribute and simplify both sides

2x - 18 - x - 1 = 2x - 1 - 2x + 18

x - 19 = 17 ( add 19 to both sides )

x = 36

Thus

a₁ = x + 1 = 36 + 1 = 37

Answer:

17×6=102 because he gave 2 boxes to his brother so he have 6 boxes

Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

The one-sample chi-square test is used to determine whether the distribution of a single categorical variable significantly differs from what would be expected by chance. The statement is True.

The one-sample chi-square test is a statistical test used to determine if there is a significant difference between the observed frequency and the expected frequency in a single categorical variable. It compares the observed frequency distribution of a variable to the expected frequency distribution, assuming that the null hypothesis is true.

This test compares observed frequencies to expected frequencies and calculates a chi-square statistic to assess the significance of the difference.

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The amount of time that has passed is approximately 19.8 years.

We can use the given equation to find t:

\(y = ae^(kt)\)

Substituting the given values:

50 = \(100e^(-0.035t)\)

Dividing both sides by 100:

0.5 = \(e^(-0.035t)\)

Taking the natural logarithm of both sides:

ln(0.5) = -0.035t

Dividing both sides by -0.035:

t = ln(0.5) / (-0.035)

Using a calculator to evaluate:

t ≈ 19.8

Therefore, the amount of time that has passed is approximately 19.8 years.

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Answer:

12x=144

divide both sides by 12

x=12

Answer:

12

Part A: 144/12=12

Step-by-step explanation:

You can only buy 12 cartridges of ink because 144/12=12. Therefore, 144/12=12 would be you equation.

Answer:

Answer: y=1/3x-6

Answer:

I just did it this is the right answer.

It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.

Step-by-step explanation:

The correct statement is,

'' It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.''

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The first column, Months Passed, has the entries, 0, 3, 4, 8.

And, The second column, Total Houses Built, has the entries,

0, 33, 46, 108.

Hence, Rate of change are,

⇒ (33 - 0) / (3 - 0) = 11

⇒ (46 - 33) / (4 - 3) = 13

Thus, It does not show a constant rate of change.

Hence, The correct statement is,

'' It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.''

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The maximum tracking error is for Observation #7

The Tracking errors are as below: [see in attachemet 1]

The calculations are shown using the below formulas:  [see in attachemet 2]

The maximum tracking error is for Observation #7 , which is 1.9

Tracking error rates for classic active managers typically range from 4% to 7%. Tracking mistakes of 10% to 15% are possible for active managers who are ready to place larger bets away from an index. The tracking errors of absolute return, benchmark-free methods may be substantially larger.

A measurement of how closely a fund follows its benchmark throughout an investing term is called tracking error. It is a volatility indicator. While a significant tracking error suggests the opposite, a modest tracking error suggests that the passive fund will often follow its benchmark quite closely throughout.

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The expected instantaneous rate of change, denoted as r, for a geometric Brownian motion stock price (St) represents the average rate at which the stock price is expected to change at any given point in time. It is typically expressed as a constant or a deterministic function.

On the other hand, the expected return, denoted as r - 0.5σ^2, on the stock ln(St) over an interval of time [0,t] represents the average rate of growth or change in the logarithm of the stock price over that time period. It takes into account the volatility of the stock, represented by σ, and adjusts the expected rate of return accordingly.

The key difference between the two is that the expected instantaneous rate of change (r) for the stock price represents the average rate of change at any given moment, while the expected return (r - 0.5σ^2)t on the stock ln(St) over an interval of time considers the cumulative effect of volatility on the rate of return over that specific time period.

In other words, the expected instantaneous rate of change focuses on the average rate of change at a specific point in time, disregarding the impact of volatility. On the other hand, the expected return over a given interval of time accounts for the volatility in the stock price and adjusts the expected rate of return to reflect the effect of that volatility.

The expected instantaneous rate of change (r) for a geometric Brownian motion stock price represents the average rate of change at any given moment, while the expected return (r - 0.5σ^2)t on the stock ln(St) over an interval of time considers the cumulative effect of volatility on the rate of return over that specific time period.

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Based on the fact that the problem to be modeled is about finding the number of nurses on duty using ratios, then it can be modeled by A) making a tape diagram.

This is a diagram that is used in mathematical calculations to visually support the calculations that a person is making.

They can be drawn such that they will have 15 cells to represent all the people working on duty. Then the proportion of doctors to nurses can be used to shade in the cells that would represent the number of people who are nurses.

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Answer:

28.56

Step-by-step explanation:

First we need to calculate the mean average of the numbers

Average = 112+89+95+77+103/5

Average = 476/5

Average = 95.2

If Sam made 30% of goals in his last 6 games, then on average, amount made is expressed as;

Average of the last six games = 30% of 95.3

Average of the last six games  = 0.3 * 95.2

Average of the last six games = 28.56

Hence the required point average is 28.56

For example, if there are 5 blue balls and 7 red balls. the ration of the blue balls with the red balls is

it can also be written as a fraction :

It is important to put the one that was mentioned first in the numerator. in this case is blue ball, that's why 5 came first. If we are asked what is the ratio of the red balls with the blue balls , then we will have to indicate 7 first. The ratio will have to be

The sequence is important.

Answer:

1. To make a bell curve (a normal distribution) with a mean of 41 and a standard deviation of 5, we can use the following values on the x-axis:

x = 21, 26, 31, 36, 41, 46, 51, 56, 61

These values are symmetric around the mean of 41, and each value is one standard deviation away from the mean.

On the y-axis, we can mark the percentage of people in each interval, which is calculated using the area under the curve. The total area under the curve is 100%.

2. To find the percentage of people who were below 31 years old, we need to calculate the area under the curve to the left of x = 31. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.0228, or 2.28%.

So, about 2.28% of people were below 31 years old.

3. To find the percentage of people who were above 31 years old, we can subtract the percentage of people below 31 years old from 100%.

100% - 2.28% = 97.72%

So, about 97.72% of people were above 31 years old.

4. To find the percentage of people between 41 and 46 years old, we need to calculate the area under the curve between x = 41 and x = 46. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.3413, or 34.13%.

So, about 34.13% of people were between 41 and 46 years old.

5. To find the percentage of people older than Kip (who is 38 years old), we need to calculate the area under the curve to the right of x = 38. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.6306, or 63.06%.

So, about 63.06% of people were older than Kip.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

\(M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A( 11 , - 1 ) and B ( - 3 , 29)

The midpoint is

\(M = ( \frac{11 - 3}{2} \: , \: \frac{ - 1 + 29}{2} ) \\ = ( \frac{8}{2} \: , \: \frac{28}{2} ) \\ = (4 \: , \: 14)\)

The x coordinate of the midpoint is 4

Hope this helps you