3 years ago

27 millimeters multiplied by 1 cm/10 mm

Mathematics

1 answer:

Basile [38]3 years ago

6 0

27 millimeters multiplied by 1 cm/10 mm= 2.7 centimeters

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A pond has 150 fish and the population decreases by 8% each day. How many days before there are 30 fish

nlexa [21]

Answer:

19 days

Step-by-step explanation:

Given

$a = 150$ --- initial

$r = 8\%$ -- rate

Required

Days when the fish gets to 30

The function is exponential and as such it follows;

$y = ab^x$

Where x represents the number of days and y the number of fishes

Because the fishes decreases;

$b = 1 - r$

So, we have:

$b = 1 - 8\%$

Express as decimal

$b = 1 - 0.08$

$b = 0.92$

In $y = ab^x$

$a =150$

$y = 30$

$b = 0.92$

So, we have:

$30 = 150 * 0.92^x$

Divide both sides by 150

$0.2 = 0.92^x$

Take log of both sides

$log(0.2) = log(0.92^x)$

Apply law of logarithm

$log(0.2) = x\ log(0.92)$

Make x the subject

$x = \frac{log(0.2)}{log(0.92)}$

$x = \frac{-0.6990}{-0.0362}$

$x = 19.309$

$x \approx 19$

<em>Hence, it takes approximately 19 days</em>

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3 years ago

What happens to the function f(x)=x when the slope is changed to 1/4

aliya0001 [1]

F(x)= 1/4x the slope goes 0.25 upwards

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3 years ago

Can somebody help me out ??

julia-pushkina [17]

Answer: y = -3/2x -5

explanation:
y = mx + b
7 = -3/2(-8)+b
7= 12 +b
subtract 12 on both sides
-5 = b

y = -3/2x - 5

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2 years ago

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Aleksandr [31]

$\frac{-12}{-9}=\frac{12}{9}=\frac{12:3}{9:3}=\frac{4}{3}=\frac{3+1}{3}=\frac{3}{3}+\frac{1}{3}=1\frac{1}{3}$

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The measure of an interior angle of a regular pentagon is 108 degrees.

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