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2 years ago

Find two positive fractions with a quotient of 5/6. Give the equivalent multiplication sentence.

1 answer:

7 0

10/12 and 15/18
(5/6)×(2/2)=10/12; You multiply the fraction by 2 over 2
(5/6)×(3/3)=15/18; You multiply the fraction by 3 over 3
this is also another option
(5/6)*(pi/pi)=5pi/6pi

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The points represented by the table like on a line. Find the slope of the line.

olchik [2.2K]

Answer:

undefined slope

Step-by-step explanation:

There us change in rise but no change in run or x value. This means is a vertical line and it's slope is undefined.

5 0

2 years ago

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

Find the value of x.<br> (7x - 3)

Musya8 [376]

Answer:

Infinity Many

Step-by-step explanation:

x can pretty much be any number possible. It will just equal something different every time.

8 0

3 years ago

Latika reads half as many fiction books as she reads nonfiction.She reads three times as many nonfiction books as mystery novels

telo118 [61]

Answer:

She read 15 fiction books

Step-by-step explanation:

Multiply 10 x 3 = 30

so she reads 30 non fiction books and she reads half as many fiction books as she reads nonfiction.

Divide 30/2=15

4 0

2 years ago

5 is what type of number (

mafiozo [28]

The value 5 is a natural number.

Technically, 5 is all of the above, but classifying it as a natural number means that it is rational and an integer(aka whole number).

6 0

3 years ago