What is the slope of the line?

The number of Atlantic blue fin tuna in thousands can be modeled by P(x)=230(.881)^x where X represents the number of years sinc

Maurinko [17]

<h3>Answer: 1981</h3>

===================================

Work Shown:

Recall that P is in thousands, so P = 95 means 95,000.

Plug in P(x) = 95. Solve for x. Use logarithms to get this done.

P(x)=230(0.881)^x

95=230(0.881)^x

95/230 = (0.881)^x

0.41304347826087 = (0.881)^x

(0.881)^x = 0.41304347826087

Log( (0.881)^x )= Log( 0.41304347826087 )

x*Log( 0.881 )= Log( 0.41304347826087 )

x= Log( 0.41304347826087 )/Log( 0.881 )

x= 6.97883817154785

x= 7

Approximately 7 years after 1974 is when the population will be around 95,000.

7 years after 1974 = 1974+7 = 1981

8 0

3 years ago

Tarik rides a stationary bike and Janet rides her bike on a trail. Their data is shown

KiRa [710]

Answer:

Part a. The graph does not model a proportional relationship.

Part b. The values in table model a proportional relation.

3.5 minutes per mile.

Step-by-step explanation:

Part a.

The graph shown in the question representing Janet's data is not a straight line although it passes through the origin.

That is why the rate of change of distance with time is not constant.

Therefore, the graph does not model a proportional relationship.

Part b.

If we plot the data in the table using distance in miles along the y-axis and time in minutes along the x-axis, then we will get a straight line passing through the origin.

So, the values in the table model a proportional relation.

Now, Tarik's unit rate in minutes per miles will be $\frac{7-0}{2-0} =3.5$ minutes per mile. (Answer)

6 0

4 years ago

What is the first step when rewriting y = 3x2 + 9x - 18 in the form y = a(x h)^2 + k?

Dennis_Churaev [7]

Answer:

Step-by-step explanation:

y = 3*2 + 9x - 18

First step in this case is to multiply 3 * 2 = 6.

Then you would have: 6 + 9x - 18

4 0

3 years ago

3 2/3+ 8 7/12<br><br> I need the work

castortr0y [4]

Answer:

$\frac{49}{4}$

Step-by-step explanation:

Convert each to a improper fraction

$3 \frac{2}{3} = \frac{11}{3}$

$8\frac{7}{12} = \frac{103}{12}$

$\frac{11}{3} +\frac{103}{12} = \frac{49}{4}$

4 0

3 years ago

Read 2 more answers

Examine the following equation and classify the type of solution.

Viktor [21]

Answer:

<h2>infinitely many solutions</h2>

Step-by-step explanation:

5x - 6 = 3x - 6 + 2x <em>combine like terms</em>

5x - 6 = (3x + 2x) - 6

5x - 6 = 5x - 6 <em>subtract 5x from both sides</em>

-6 = -6 TRUE

Therefore the equation has infinitely many solutions.

5 0

3 years ago