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GREYUIT [131]
3 years ago
6

The graph below shows the decline in the catch of groundfish (such as cod, haddock and flounder) from Georges Bank between 1965-

1995. This decline in the fish harvest resulted in the closure of large portions of the fishery. Based on this data, what is the rate of decline in the fish harvest, in metric tons per year, from 1965-1995?

Advanced Placement (AP)
1 answer:
hoa [83]3 years ago
3 0

Answer:

Approximately 22,000 metric tonnes of fish per year

Explanation:

From the graph,

Rate of decline :

(metric tonnes of fish in 1965 - metric tonnes of fish in 1995) / range of years

(700,000 - 40,000)metric tonnes ÷ (1995 - 1965)

660,000 metric tonnes ÷ 30 years

660,000 / 30

= 22,000 metric tonnes per year

Approximately 22,000 metric tonnes of fish per year

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(a)

We have been given an equation x^{2}=-2+y+5cosy. Upon taking derivative of this equation with respect to x on both the sides, we get:

2x=0+\frac{dy}{dx}+5(-siny)\frac{dy}{dx}\\2x=(1-5siny)\frac{dy}{dx}\Rightarrow \frac{dy}{dx}=\frac{2x}{1-5siny}

(b)

In order to write the equation of tangent line, we need to find the slope of the line. We know that point (3,11) lies on the graph. Therefore, we write the slope of the tangent as:

\text{Slope}=\frac{dy}{dx}=\frac{2(3)}{1-5sin(11)}=1

Therefore, equation of tangent line is:

y-y_{1}=m(x-x_{1})\Rightarrow y-11=1(x-3)\\y-11=x-3\\y=x+8

(c)

We know that slope of tangent is given as \frac{dy}{dx}=\frac{2x}{1-5siny}. The tangent will be vertical when denominator of slope is zero, that is:

1-5siny=0\Rightarrow siny=\frac{1}{5}\Rightarrow y=arcsin(\frac{1}{5})\\y=1.732,1.525, 3.063 \text{ etc.}

5 0
3 years ago
What is the responsibility of a court appointed attorney?
adelina 88 [10]
To defend the (indigent) criminal to the best of their ability - the same as any defense attorney.
4 0
3 years ago
A state that has different parts separated by a physical or human barrier is
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<u>Answer- </u>

Fragmented  (A state that is separated by a physical or human barrier.)

8 0
2 years ago
At what value(s) of x does f(x) = -x4 + 2x2 have a critical point where the graph changes from decreasing to increasing? A) 0 an
nataly862011 [7]

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3 years ago
The number of tickets purchased by a customer for a musical performance at a certain concert hall can be considered a random var
Liono4ka [1.6K]

Answer:

D. $29.40

Explanation:

Calculation for the mean cost per customer for the performance

Using this formula

Mean cost per customer=[(Number of tickets purchased*Relative frequency)]*Performance cost

Let plug in the formula

Mean cost per customer=[(1*0.20)+(2*0.45)+(3*0.10)+(4*0.20)+(5*0.05)]*$12

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Therefore the mean cost per customer for the performance will be $29.40

4 0
2 years ago
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