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goblinko [34]
3 years ago
13

A colony of bacteria is growing in a petri dish which has a maximum capacity of 80mg. The mass of bacteria is increasing at a ra

te given by the logistic equation. Initially there is 2mg of bacteria and the rate of increase is 1mg per day.
1) Write down the logistic equation satisfied by the mass, m.
m? =
2) When will the mass of bacteria be 40mg?
number of days =
3) What is the mass (in GRAMS) of bacteria 10 days after the mass was 2mg?
mass = ____ grams
Mathematics
1 answer:
dolphi86 [110]3 years ago
4 0
Wjejejejejejejeeejejejjsjejee
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Find the value of x. Round your answer to the nearest tenth.
Crazy boy [7]
<h2>The value of x "option A) 12.5" is required answer.</h2>

Step-by-step explanation:

In given figure,

Base (b) = 11 and Angle = 28°

To find, the value of x = ?

We know that,

\cos A=\dfrac{b}{h}

Where, h is the hypotaneous = x

⇒ \cos 28=\dfrac{11}{x}

⇒ x=\dfrac{11}{\cos 28}

The value of \cos 28 = 0.8829

⇒ x = \dfrac{11}{0.8829}

⇒ x = 12.458

⇒ x ≈ 12.5

∴ The value of x ≈ 12.5

Thus, the value of x "option A) 12.5" is required answer.

7 0
3 years ago
Plz help
Molodets [167]
The irrational numbers are √10,√27,√99.
3 0
3 years ago
During a football game a concession stand sold a family three hamburgers and two hotdogs for a total of $13 it's sold another fa
guajiro [1.7K]

Answer:

The price of each hamburger is $3

The price of each hot dogs is $2  .

Step-by-step explanation:

Given as :

The total price of 3 hamburger and 2 hot dogs = $13

The total price of 2 hamburger and 5 hot dogs = $16

Let The price of each hamburger = $x

Let The price of each hot dogs = $y

<u>Now, According to question</u>

3 x + 2 y = 13              .........A

2 x + 5 y = 16              .......B

Now, Solving to eq A and B

3 × (2 x + 5 y ) - 2 × (3 x + 2 y ) = 3 × 16 - 2 × 13

Or, (6 x + 15 y) - (6 x + 4 y) = 48 - 26

Or, (6 x - 6 x) + (15 y - 4 y) = 22

Or, 0 + 11 y = 22

∴  y = \dfrac{22}{11}

i.e y = $2

so, The price of each hot dogs = y = $2

<u>Now, Put the value of y into eq B</u>

i.e 2 x + 5 y = 16

or, 2 x + 5 × 2 = 16

or, 2 x = 16 - 10

or, 2 x = 6

∴  x = \dfrac{6}{2}

i.e x = $3

So, The price of each hamburger = x = $3

Hence, The price of each hamburger is $3 and  The price of each hot dogs is $2  . Answer

3 0
3 years ago
If f(x)= 5x, what is f^-1(x)?
Helen [10]

Step-by-step explanation:

f( x) {}^{ - 1}  \\ f(x) = 5x \\ y = 5x \\ x = 5y \\ y =  \frac{x}{5}  \\ f(x) {}^{ - 1}  =  \frac{x}{5}

8 0
2 years ago
If you could help I would really appreciate it, but if not that’s fine. Thank you.
dolphi86 [110]

Answer:

3

Step-by-step explanation:

j(2) means that x equals 2...

the first inequality in the function says that x is greater than or equal to 2

the second inequality states that x is greater than 2(not equal to) and is less than or equal to 5

the third one states that x is greater than 5

x applies to the first inequality since we know that x can be equal to 2

Now, to the number before the if

there is a 3 before the if in the first inequality

This means that if x is greater than or equal to 2 the y or the function would equal 3

therefore, j(2) would equal 3

I hope this helps!!!

6 0
3 years ago
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