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3 years ago

A population of bacteria grows by a factor of 1.32 in one hour. What is the hourly growth rate?

Mathematics

1 answer:

pantera1 [17]3 years ago

6 0

SInce the 'growth factor' is 1.32, the 'growth rate' is .32 or 32%

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Calculate the Laplace transforms of the following from the definition. 1. y = t^2. y = t^3

Likurg_2 [28]

Answer:

1) $L(y)=\frac{2}{s^{3}}$

2) $L(y)=\frac{6}{s^{4}}$

Step-by-step explanation:

To find : Calculate the Laplace transforms of the following from the definition ?

Solution :

We know that,

Laplace transforms of $t^n$ is given by,

$L(t^n)=\frac{n!}{s^{n+1}}$

1) $y=t^2$

Laplace of y,

$L(y)=L(t^2)$ here n=2

$L(y)=\frac{2!}{s^{2+1}}$

$L(y)=\frac{2}{s^{3}}$

2) $y=t^3$

Laplace of y,

$L(y)=L(t^3)$ here n=3

$L(y)=\frac{3!}{s^{3+1}}$

$L(y)=\frac{3\times 2}{s^{4}}$

$L(y)=\frac{6}{s^{4}}$

5 0

3 years ago

Solve the linear equations <br> 1/4(x-5)+4=1/3(2x+7)-5/6

quester [9]

Answer:

x = 3

Step-by-step explanation:

Given the linear equation :

1/4(x-5)+4=1/3(2x+7)-5/6

(x-5)/4 + 4 = (2x+7)/3 - 5/6

Take the lcm and sum

(x-5+16)/4 = (4x+14-5)/6

(x+11)/4 = (4x+9)/6

Cross multiply

6(x+11) = 4(4x+9)

6x + 66 = 16x + 36

Collect like terms

6x - 16x = 36 - 66

-10x = - 30

x = 30/10

x = 3

6 0

3 years ago

5 . x^2 /x^2 for x=2

goblinko [34]

Answer:

Step-by-step explanation:

Hello!

Plug in 2 for x and simplify.

<h3>Evaluate</h3>

$\frac{x^2}{x^2}$
$\frac{2^2}{2^2}$
$\frac44$
$1$

We could have also simplified the fraction first. If a fraction has the same number in the numerator and the denominator, then it is always equal to 1, no matter what values of x.

6 0

1 year ago

Tell whether each triangle with the given side lengths is a right triangle.

azamat

should be 60 cm if not it's 11

3 0

4 years ago

Write in simplest form 12:3

prisoha [69]

To put this into simplest form, you can see what common factors they have. 3 can go into 12, so we can divide 12 by 3.
12÷3= 4
3÷3=1
So 4:1 is the simplest form of 12:3.
Tell me if this helps!!

3 0

4 years ago

Read 2 more answers