Pls it’s my geometry final

True, Harvesting at the mathematical maximum sustainable yield (MSY) can be risky for the long-term sustainability of a fishery.

The concept of MSY is based on the idea of maximizing the catch of fish without depleting the population. However, it assumes that fish populations can be managed as single-species entities and that they can be harvested at a constant rate.

In reality, ecosystems are complex and interconnected, and fish populations interact with other species and the environment in various ways. Harvesting at the MSY level may not consider the broader ecological impacts and can lead to unintended consequences.

While maximizing the catch in the short term may seem beneficial, it can result in overfishing and the depletion of fish stocks over time.

This can disrupt the balance of the ecosystem, impact other species that rely on the fish population, and threaten the long-term sustainability of the fishery.

It is important to consider factors such as the reproductive capacity of fish, their life history traits, and the overall health of the ecosystem when setting sustainable fishing limits.

Sustainable fisheries management practices often involve adopting precautionary approaches that prioritize the conservation and responsible use of fishery resources to ensure their long-term viability.

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The standard error of the sample mean is 1.237.

How to calculate the standard error of the sample mean?

Given,

c = 95% = 0.95

n = 42

lower limit = 13.0

upper limit = 18.0

Since standard deviation population is unknown, we use this formula to calculate standard error.

standard error = margin of error / tα/2,d.f

First, we calculate the t distribution value

tα/2,d.f = t₍₁₋₀.₉₅₎/₂,₄₂₋₁

= t₀.₀₂₅,₄₁

To find the value use t table. So,  t₀.₀₂₅,₄₁ = 2.0195

Next, we calculate the margin of error

margin of error = (upper limit - lower limit)/2

= (18.0 - 13.0)/2

= 5/2

= 2.5

Now, we can calculate the standard error. So,

standard error = 2.5 / 2.0195

= 1.237

Thus, the standard error of the sample mean is 1.237

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The second function's output exceeds (get bigger than) the first function's output for x∈(-∞,\(\frac{1-\sqrt{29} }{2}\))∪(\(\frac{1+\sqrt{29} }{2}\),∞)

Given the functions f(x)=x+7 and f(x)=\(x^{2}\)

To know when to exceed, need to equate both functions.

⇒\(x^{2} =x+7\)

⇒\(x^{2} -x-7=0\)

x=\(\frac{-b+\sqrt{D} }{2a}\) and \(\frac{-b-\sqrt{D} }{2a}\)

⇒x=\(\frac{1-\sqrt{29} }{2}\),\(\frac{1+\sqrt{29} }{2}\)

f(x)=\(x^{2}\) decreases from -∞ to 0 and increases from 0 to ∞ it cuts the graph of x+7 two times and for  x∈(-∞,\(\frac{1-\sqrt{29} }{2}\))∪(\(\frac{1+\sqrt{29} }{2}\),∞) f(x)=\(x^{2}\)  is greater than f(x)=x+7

Therefore,The second function's output exceeds (get bigger than) the first function's output for x∈(-∞,\(\frac{1-\sqrt{29} }{2}\))∪(\(\frac{1+\sqrt{29} }{2}\),∞)

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Answer:

  D.  -3 must be a root

Step-by-step explanation:

You want to know what it means that dividing 2x² +9x +9 by x+3 leaves a remainder of zero.

The remainder theorem tells you that dividing f(x) = (2x² +9x +9) by (x +3) has a remainder equal to f(-3). When that remainder is zero, it tells you that ...

  f(-3) = 0   ⇒   -3 is a root of the polynomial (2x² +9x +9), choice D.

__

Additional comment

It also tells you that 2x+3 = 0 will give you the other root: x = -3/2.

<95141404393>

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:4\pm c \)

____________________________________

\( \large \tt Solution \: : \)

The given expression is :

\(\qquad \tt \rightarrow \: 5 - |c + 1|\)

\(\qquad \tt \rightarrow \: 5 - 1 - |c|\)

[ as 1 is a positive number, it can come out of modulus function as it is ]

\(\qquad \tt \rightarrow \:4- |c| \)

Now, there are two cases possible.

Case 1 :

\(\qquad \tt \rightarrow \: 4- c\)

[ if c is a positive number, it will come out of modulus as it is ]

Case 2 :

\(\qquad \tt \rightarrow \: 4 - (-c)\)

\(\qquad \tt \rightarrow \: 4 + c\)

[ if b is a negative number, it will come out of modulus with a negative sign, to make the overall term out of modulus positive ]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

a

Step-by-step explanation:

Answer:

  x = -1

Step-by-step explanation:

You want the solution to √(2x +27) -4 = 1.

In general, a radical equation is solved by isolating the radical, then raising the equation to a power that makes the radical disappear. Here, that means we will want to square both sides of the equation after we add 4.

  \(\sqrt{2x+27}-4=1\\\\\sqrt{2x+27}=5\qquad\text{add 4}\\\\2x+27=25\qquad\text{square both sides}\\\\2x=-2\qquad\text{subtract 27}\\\\\boxed{x=-1}\qquad\text{divide by 2}\)

The value of x that makes this true is -1.

<95141404393>

Answer:

7 + 8 + 6 = 21

44 + 28 + 8 = 80

60 min. = 1 hour

80 - 60 = 20

22 hours 20 minutes

Answer:

\( \boxed{f = -6} \)

Step-by-step explanation:

\( = > - 7f - 9 = 9 - 4f \\ \\ = > - 7f + 4f - 9 = 9 \\ \\ = > - 3f = 9 + 9 \\ \\ = > - 3f = 18 \\ \\ = > 3f = - 18 \\ \\ = > f = - \frac{18}{3} \\ \\ = > f = - 6\)

Answer:i think its x > 14.28

Step-by-step explanation:

The monthly payment for a bank loan assuming a one-year repayment period and 13.5% interest is To calculate the monthly payment for a bank loan, we can use the formula:

Monthly payment = Total cost / Number of months

Given that the total cost is $1,800 and the repayment period is one year (12 months), we can substitute these values into the formula:

Monthly payment = $1,800 / 12 = $

Now, let's calculate the total cost for the bank loan:

Total cost = Monthly payment * Number of months

Total cost = $ * 12 = $

For the add-on method of interest calculation with a one-year repayment period and 11.5% interest, the monthly payment is $ (main answer).
The add-on method of interest calculation involves adding the interest to the principal amount and then dividing it by the number of months.

Given that the total cost is $1,800 and the repayment period is one year (12 months), we can calculate the interest as follows:

Interest = Total cost * Interest rate

Interest = $1,800 * 11.5% = $

Now, let's calculate the new principal amount:

New principal amount = Total cost + Interest

New principal amount = $1,800 + $ = $

Finally, we can calculate the monthly payment:

Monthly payment = New principal amount / Number of months

Monthly payment = $ / 12 = $

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The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.

Given that,

The function is f(x)= (x-5)³(x+2)²

We have to find at which root does the graph function touch the x-axis.

We know that,

Mathematical calculus' core component is functions. The unique forms of relationships are the functions. When it comes to arithmetic, a function is represented as a rule that produces a different result for each input x.

Take the function

f(x) = (x-5)³(x+2)²

f(x) = 0 if a curve touches the x-axis.

⇒ (x - 5)³(x + 2)² = 0.

But if ab = 0

So, a=0 and b=0

⇒ (x - 5)³ = 0 and (x + 2)² = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x=5 and x=-2.

Therefore, The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.

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Answer:

3 moles NaCl to grams = 175.32831 grams 4 moles NaCl to grams = 233.77108 grams 5 moles NaCl to grams = 292.21385 grams 6 moles NaCl to grams = 350.65662 grams

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Step-by-step explanation:

Answer:

6*4*2+8+2+2=60

Step-by-step explanation:

6*4=24

24*2=48

48+8=56

56+2=58

58+2=60

lol other person did the multiplication so i did the long way

The arithmetic operation is used to make 60 by the number 2,4,6,8 with operation 6×4×2+8+4=60.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Multiplication, Subtraction, Summation, and division.

As per the given numbers,2,4,6,8

Let's multiply 6 and 4

6 × 4 = 24

Now let's multiply 24 by 2

24 × 2 = 48

So, 6 × 4 × 2 = 48

Now we need to add only 12 to get 60 so, 8 + 4 = 12

So, 6 × 4 × 2 + 8 + 4 = 60

Hence "The arithmetic operation is used to make 60 by the number 2,4,6,8 with operation 6×4×2+8+4=60".

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The value of v, final velocity, is 82 m/s

From the question, we are to calculate the final velocity, v

From one of the equations of linear motion, we have that

v = u + at

Where v is the final velocity

u is the initial velocity

a is the acceleration

and t is the time

From the given information

u = 19 m/s

a = 3 m/s²

t = 21 seconds

Putting the parameters into the equation,

v = u + at

v = 19 + 3(21)

v = 19 + 63

v = 82 m/s

Hence, the value of v, final velocity, is 82 m/s

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The derivate of f(y) is -9y^6 - 33y^4 + 84y^2.

To differentiate the given function f(y), we will use the product rule and the chain rule of differentiation. Let's break down the function into two parts:

f(y) = (1 y^2 - 9 y^4) * (y + 3y^3)

Using the product rule, we can differentiate each part separately:

f'(y) = (1 y^2 - 9 y^4)' * (y + 3y^3) + (1 y^2 - 9 y^4) * (y + 3y^3)'

The derivative of the first part is:

(1 y^2 - 9 y^4)' = 2y - 36y^3

Now we need to differentiate the second part using the chain rule. Let's call the inner function u:

u = y + 3y^3

Using the power rule, the derivative of u with respect to y is:

u' = 1 + 9y^2

Now we can substitute these values back into our original equation:

f'(y) = (2y - 36y^3) * (y + 3y^3) + (1 y^2 - 9 y^4) * (1 + 9y^2)

Simplifying further:

f'(y) = 2y^2 + 6y^4 - 36y^4 - 108y^6 + y^2 + 9y^4 - 9y^6 + 81y^2

Combining like terms:

f'(y) = -9y^6 - 33y^4 + 84y^2

Therefore, the derivative of f(y) is -9y^6 - 33y^4 + 84y^2.

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Explanation

We are given a triangle

and then asked to determine the value of x

To do so, we know that the total angles in a triangle are 180 degrees

Thus

The value of x is 41 degrees

Answer:

From (0,0) and go down 1 and put a dot then down 4 and over to the right 1 and draw a line.

Step-by-step explanation:

Hope this helps have a nice day!

Answer:

30

Step-by-step explanation:

1 plus 2 is 6 x 2 plus 5

Answer:

3

Step-by-step explanation:

500=100×+200

500-200=100×

300=100×

300/100=×

3=×

Answer:

less because the night before -22 degrees F

Step-by-step explanation:

Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

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For question 8, we can use the formula for the distance between a point and a line. The formula is:

distance = |ax + by + c| / √(a^2 + b^2)

where (x,y) is the point and ax + by + c = 0 is the equation of the line.

First, let's find the equation of the line 2x - 5y + 8 = 0 in slope-intercept form:

2x - 5y + 8 = 0
-5y = -2x - 8
y = (2/5)x + 8/5

So, the slope of the line is 2/5 and a point on the line is (0,8/5). Now we can plug in the values into the distance formula:

distance = |2(3) - 5(7) + 8| / √(2^2 + (-5)^2)
distance = 2 / √29

Therefore, the distance between the point (3,7) and the line 2x - 5y + 8 = 0 is 2 / √29.

For question 9, the vector equation of the line can be written as:

x = 1 + t
y = -1 + 3t
z = 2 - t

We can see that the direction vector of the line is <1,3,-1> and a point on the line is (1,-1,2).

That's all I can do for now. Let me know if you need further assistance with the other questions.


To find the distance between the point (3, 7) and the line 2x - 5y + 8 = 0, you can use the point-to-line distance formula:

Distance = |Ax + By + C| / sqrt(A^2 + B^2)

where (A, B, C) are the coefficients of the line equation Ax + By + C = 0, and (x, y) are the coordinates of the given point.

For the line 2x - 5y + 8 = 0, we have A = 2, B = -5, and C = 8. The given point is (3, 7), so x = 3 and y = 7.

Now plug these values into the formula:

Distance = |(2)(3) + (-5)(7) + 8| / sqrt((2)^2 + (-5)^2)
Distance = |6 - 35 + 8| / sqrt(4 + 25)
Distance = |-21| / sqrt(29)
Distance = 21 / sqrt(29)

So, the distance between the point (3,7) and the line 2x - 5y + 8 = 0 is 21 / sqrt(29) units.

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Answer:

Step-by-step explanation:

If the diameter is 8 cm, and the formula is A=pie*radius^2, the radius is 4.

The area would be 16*pie

The formula for finding the circumference 2*pie*radius, so the circumference is 8*pie.

Answer:

5

Step-by-step explanation:

p=(8)-3

p=5

Answer:

p=8-3

p=5

Step-by-step explanation:

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

hence,sample test of means one-sample test of proportions one-sample test of variances two-sample test of means (independent samples) two-sample test of means (paired samples) two-sample test of proportions two-sample test of variances.

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The solution to the inequality expression is:

It is satisfied for x ∈ (−∞, −8) ∪ (5, ∞)

The inequality we are to solve is given as:

x² + 3x > 40​

First subtract 40 from both sides to get:

x² + 3x - 40 > 0

f(x) = x² + 3x - 40 is a well behaved, continuous function, so the truth of the inequality will only change at the points where f(x) = 0.

Factorizing gives us:

x² + 8x - 5x - 40

x(x + 8) - 5(x + 8)

= (x - 5)(x + 8)

Thus;

x = 5 and -8 are solutions

This inequality is equivalent to (x + 8)(x − 5) > 0 which is satisfied for x ∈ (−∞, −8) ∪ (5, ∞)

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The correct question is:

Solve the inequality x² + 3x > 40​

Ted can mow the lawn in 5 minutes by using his power mower. Galen takes 15 minutes to mow the same lawn using a push-type mower.

Let's calculate the amount of work done by Ted in 1 minute.WORK = 1/5Let's calculate the amount of work done by Galen in 1 minute.WORK = 1/15

Let's calculate the amount of work done by both of them working together in 1 minute. WORK = 1/5 + 1/15 Simplify, LCM of 5 and 15 = 15 So, 3/15 + 1/15 = 4/15Hence, working together Ted and Galen can mow the lawn in 15/4 or 3.75 minutes or 3 minutes and 45 seconds.

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The graph represents the relationship between the temperature and hours after sunrise. The slope shows the temperature changes per hour and the y-intercepts shows the temperature at the time of sunrise. The linear equation of this condition is y = 4x + 4.

From the graph, we can get some informations:

The temperature at the time of sunrise is 4 degrees celcius. This information is represented by the y-intercepts on 4 or point (0, 4). This is the initial temperature of the day.

Next, we will try to find the slope of the graph. We take 2 points:

(0, 4)

(1, 8)

Slope (m) = y₂ - y₁

                    x₂ - x₁

m = (8 - 4)

       (1 - 0)

m = 4

However, as the hour goes by, the temperature increases by 4 degrees celcius. This information is known based on the slope of the graph. The slope represents the degree celcius of temperature change per hour.

Based on the found y-intercepts and slope, we can formulated the linear equation of the graph as:

y = 4x + 4

where:

y = temperature

x = hours after sunrise

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