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2 years ago

Help please i dont know the answer

Mathematics

1 answer:

Law Incorporation [45]2 years ago

4 0

Answer:

Step-by-step explanation:

Find the Rule :

2-1=1

3-1.5=1.5= constant

Verification :

1x1.5=1.5

2x1.5=3

9x1.5=13.5

48x1.5=72

What is the rule for input-output table?

An input-output table, like the one shown below, can be used to represent a function. Each pair of numbers in the table is related by the same function rule. That rule is: multiply each input number (x-value) by 1.5 to find each output number (y-value)

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Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions th

trasher [3.6K]

Answer:

(a) 100 fishes

(b) t = 10: 483 fishes

t = 20: 999 fishes

t = 30: 1168 fishes

(c)

$P(\infty) = 1200$

Step-by-step explanation:

Given

$P(t) =\frac{d}{1+ke^-{ct}}$

$d = 1200\\k = 11\\c=0.2$

Solving (a): Fishes at t = 0

This gives:

$P(0) =\frac{1200}{1+11*e^-{0.2*0}}$

$P(0) =\frac{1200}{1+11*e^-{0}}$

$P(0) =\frac{1200}{1+11*1}$

$P(0) =\frac{1200}{1+11}$

$P(0) =\frac{1200}{12}$

$P(0) = 100$

Solving (a): Fishes at t = 10, 20, 30

$t = 10$

$P(10) =\frac{1200}{1+11*e^-{0.2*10}} =\frac{1200}{1+11*e^-{2}}\\\\P(10) =\frac{1200}{1+11*0.135}=\frac{1200}{2.485}\\\\P(10) =483$

$t = 20$

$P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999$

$t = 30$

$P(30) =\frac{1200}{1+11*e^-{0.2*30}} =\frac{1200}{1+11*e^-{6}}\\\\P(30) =\frac{1200}{1+11*0.00247}=\frac{1200}{1.0273}\\\\P(30) =1168$

Solving (c): $\lim_{t \to \infty} P(t)$

In (b) above.

Notice that as t increases from 10 to 20 to 30, the values of $e^{-ct}$ decreases

This implies that:

${t \to \infty} = {e^{-ct} \to 0}$

So:

The value of P(t) for large values is:

$P(\infty) = \frac{1200}{1 + 11 * 0}$

$P(\infty) = \frac{1200}{1 + 0}$

$P(\infty) = \frac{1200}{1}$

$P(\infty) = 1200$

5 0

2 years ago

What is 10 1/8 + 3 5/8 2 7/8 ?

Damm [24]

So first you would have to add 10 and 1/8 and 3 and 5/8 which is 4 and 3/4 then add 2 and 7/8 to 4 and 3/4 which is 7 and 5/8 so 7 5/8 is the answer.

8 0

2 years ago

Read 2 more answers

B) Express 0.6363......as a rational number in its lowest term.

bulgar [2K]

Answer:

$\frac{7}{11}$

Step-by-step explanation:

We require 2 equations with the repeating digits (63) placed after the decimal point.

let x = 0.636363..... (1) multiply both sides by 100

100x = 63.6363... (2)

Subtract (1) from (2) thus eliminating the repeating digits

99x = 63 ( divide both sides by 99 )

x = $\frac{63}{99}$ = $\frac{7}{11}$ ← in simplest form

8 0

2 years ago

How many extraneous solutions does the equation below have? 9 over n squared +1 =n+3 over 4? 0 1 2 3

LenKa [72]

The answer is 0. While the answer for n is approximately 2.384503, there are no EXTRANEOUS solutions. Again, the answer is a.) 0

4 0

3 years ago

Read 2 more answers

Brainliest please help!

Dmitriy789 [7]

Answer:

120

Step-by-step explanation:

6 x 6 = 36

6 x 7 = 42

42/2 = 21

21 x 4 = 84

84 + 36 = 120

4 0

3 years ago