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victus00 [196]
3 years ago
11

Which of the following statements are true?

Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

option A and B are correct.

Step-by-step explanation:

Given: p(t) = \frac{64}{1 + 11e^{-.08t} }

Option A: \lim_{t \to \infty} \frac{64}{1 + 11e^{-.08(\infty)} }  = \frac{64}{1 + 0}  = 64

Option A is true,

Option B: P(0) = \frac{64}{1 + 11}  = 5.33

Option B is also true.

Option C:

P(t + 1) = \frac{64}{1 + 11e^{-.08(t + 1)} }  = \frac{64}{1 + 10.15e^{-.08t} } \\1.08 · P(t) = \frac{64 · 1.08 }{1 + 11e^{-.08t} }   = \frac{69.12}{1 + 11e^{-.08t} }

P(t + 1) ≠ 1.08 · P(t)

Option C is incorrect.

Option D:  It is also incorrect, because according to option 2 earth's population will not grow exponentially without Bound.

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Write an equation which is perpendicular to the line of y= -5/2x+2​
S_A_V [24]

Answer:

y = 2/5x

Step-by-step explanation:

Perpendicular lines are lines which have negative reciprocal slopes of each other.

The line y = -5/2 x + 2 has slope -5/2. Therefore its perpendicular slope will be 2/5.

The equation can cross anywhere on the y-axis for its y-intercept since no specific point is given. Here I chose (0,0).

y = 2/5x

3 0
3 years ago
Solve: x^+4/x-1 = 5/x-1
AlexFokin [52]
The first step for solving this equation is to determine the defined range.
\frac{ x^{4}  }{x-1} = \frac{5}{x-1}, x ≠ 1
Remember that when the denominators of both fractions are the same,, you need to set the numerators equal. This will look like the following:
x^{4} = 5
Take the root of both sides of the equation and remember to use both positive and negative roots.
x +/- \sqrt[4]{5}
Separate the solutions.
x = \sqrt[4]{5}           , x ≠ 1
x = -\sqrt[4]{5} 
Check if the solution is in the defined range.
x = \sqrt[4]{5} 
x = -\sqrt[4]{5} 
This means that the final solution to your question are the following:
x = \sqrt[4]{5}          
x = -\sqrt[4]{5} 
Let me know if you have any further questions.
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7 0
3 years ago
The price of a new car was £11 800
Angelina_Jolie [31]

Answer:

12 % reduction

Step-by-step explanation:

11800 - 10384 = 1416

1416 / 11800 = 0.12

0.12 × 100 = 12

3 0
2 years ago
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Find the student’s error in solving the following inequality.
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31 < -5x + 6
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<u>25</u> < <u>-5x</u>
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after 4 days = 26.88×4=107.5

answer is 107.5

8 0
1 year ago
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