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3 years ago

How can 0.5 turn into a fraction

Mathematics

2 answers:

mrs_skeptik [129]3 years ago

7 0

1/5 because you can't have 0/5

Naily [24]3 years ago

6 0

5/10 is the answer I think

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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

Ahhhhhhhhhhhhhhhhhhhhhhh

Bess [88]

Answer:

Its 9

Step-by-step explanation:

I did this in 5th grade... All you gotta do is count and there's 4 in the bottom aka 2 rows of 4 and there's 1 block on the top its 9

4+4+1=9

4+4=8

Add a 1 etc.

5 0

2 years ago

Five bags of chips cost $7.

Dvinal [7]

Answer:

1. $1.40 2. $8.40

Step-by-step explanation:

1. 7 divided by 5 is 1.4

2. 1.40 plus $7 equals $8.40

6 0

2 years ago

Read 2 more answers

Which is a valid prediction about the continuous function f(x)?

Bumek [7]

Without seeing the graph, it's impossible to tell. The same can be said if we don't know the function rule. However, we can rule out three non-answers.

Choice B is false because the interval [1,3] has f(x) below zero but the rest of the interval to the right of x = 3 has f(x) not below zero.

Choice C is false. The value x = -1 leads to f(x) = 0 which is not greater than 0

Choice D is false because the values 8 and 4 are positive

After eliminating B, C, & D, we are left with choice A as the answer.

8 0

3 years ago

Read 2 more answers

Factor by grouping: 4x3 - 6x2 + 10x - 15.

BlackZzzverrR [31]

4x³ - 6x² + 10x - 15
2x²(2x) - 2x²(3) + 5(2x) - 5(3)
2x²(2x - 3) + 5(2x - 3)
(2x² + 5)(2x - 3)

The answer is B.

8 0

3 years ago