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3 years ago

80s to 2 minutes ratio simple as possible

Mathematics

1 answer:

DochEvi [55]3 years ago

7 0

Answer:

2 : 3

Step-by-step explanation:

We need to convert minutes to seconds

1 minute = 60 seconds

2 minutes = 2*60 = 120 seconds

80 seconds : 120 seconds

Divide by 40

80/40 : 120/40

2 : 3

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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

3 years ago

What’s this ????????

Dafna11 [192]

Answer:

w^6/9

Step-by-step explanation:

3^-2/w^-6

w^6/9

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3 years ago

Read 2 more answers

What is the equation of the following line? Be sure to scroll down first to see

guajiro [1.7K]

Answer:

$y = \frac{2}{7} x$

Step-by-step explanation:

The slope is

$slope = \frac{rise}{run} = \frac{2}{7}$

The y-intercept is 0

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3 years ago

At the beginning of the month, Sheryl had a balance of $120 in her checking account. She then made a purchase for $80, using her

Rama09 [41]

$80

add what you took out

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3 years ago

Last week Anna received a pay check for $442.50. She noticed in the check stub that $47.30 of the money she earned had been with

Troyanec [42]

Answer:

Percentage of Taxes = 10.689 %

Step-by-step explanation:

Given that

Total earning of Anna is $442.50

The amount which is held with Taxes = $47.30

Now in terms of percentage

percentage of taxes from her total earning = $\frac{47.30}{442.50} times 100$

So % taxes = ( 0.106892) × 100

∴ Taxes percentage = 10.689 %

6 0

4 years ago