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Blizzard [7]
1 year ago
13

Let’s apply this understanding to situations when we’re given the context and function.

Mathematics
1 answer:
Irina18 [472]1 year ago
7 0

The function P(t)=5(b)^t, The initial number of fish species released was 5.

The function S(t)=152(1.045)^t, The growth rate is 4.5%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given the function P(t)=5(b)^t, The initial number of fish species released was 5.

The function S(t)=152(1.045)^t, The growth rate is 4.5%

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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PLEASE HELP
Sholpan [36]
1) We have that the equation is x^2=20y , hence y=x^2/20. The standard equation of such an equation is y=\frac{1}{4p} x^2. Hence, p=5 in this case. The focus is at (0,5) and the directrix is at y=-5 (a tip is that the directrix is always "opposite" the focus point of a parabola; if the directrix is at x=-7 for example, the focus is at (7,0)).
2) Similarly, we have that the equation is x=3y^2 \\  \frac{1}{4p} =3. Thus, p=1/12. In this case, the parabola opens along the x-axis and the focus is at (1/12, 0). Also, the directrix is at x=-1/12. Hence the correct answer is B.
3) We are given that the parabola has a p of 9. Also, the focus lies along the y-axis, hence the parabola is opening along the y-axis. Finally, the focus is on the positive half, so the parabola is opening upwards. The equation for this case is y=y=\frac{1}{4p} x^2= \frac{1}{36 } x^2.
4) Similarly as above. The directrix is superfluous, we only need the p-value. THe same comments about the parabola apply and if we substitute p=8 in the formula: y= \frac{1}{4p} x^2 we get y=\frac{1}{32} x^2.
5) This is somewhat different, even though we do not need the directrix again. The focus lies on the x-axis, thus the parabola opens in this direction. The focus lies on the positive part of the axis, thus the parabola opens to the right. We also are given p=7. Hence, the equation we need is of the formx= \frac{1}{4p} y^2. Substituting p=7, we get x= \frac{1}{28} y^2.
6) The equation of a prabola with a vertex at (0,0) is of the form y=-ax^2. The minus sign is needed since the parabola is downwards. Since we are given anothe point, we can calculate a. We have to take y=-74 and x=14 feet (since left to right is 28, we need to take half). -a= \frac{y}{x^2} = \frac{-74}{14^2} =-0.378. Thus a=0.378. Hence the correct expressions is y=-0.378*x^2
7 0
2 years ago
Read 2 more answers
Don’t get it please helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
UNO [17]
What do you don’t get
7 0
3 years ago
B. 210-61-4. 1 is equivalent to 2-4)-4.1<br> 24-2<br> 10<br> 10<br> 24 =8
Serhud [2]

Answer:

w

Step-by-step explanation:

7 0
2 years ago
Help help help help help​
Luden [163]

Answer:

the answer is going to be D. (3,4,5,8,9,3)

7 0
3 years ago
Subtract and write your answer as a mixed number 9 4/5 - 7 1/2
viktelen [127]
The answer is 2 3/10
7 0
2 years ago
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