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faltersainse [42]
4 years ago
12

A bacteria culture begins with 4 bacteria which double in size every hour. How many bacteria exist in the culture after 8 hours?

Mathematics
2 answers:
Levart [38]4 years ago
5 0
4 Bacteria double per hour to give 8 bacteria then in 8 hours it will become 64 then this 64 doubles to give us 128
ycow [4]4 years ago
5 0

Let me make it clear,


The bacteria culture begins with 4 bacteria and double up every hour. And the hours given is 8 hours.

Therefore, we can first list the equation: 4 x 2^8

And we can get the solution 1024 <- Answer


Hope it helps

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kherson [118]

the rate is usually the number in the parentheses in an exponential function, now the tell-tale piece is that, if the rate is less than 1, we have a Decay expression, and if the rate is more than 1, then is Growth.

well, let's see 0.365 is less than 1, so it's Decay.

\qquad \textit{Amount for Exponential Decay} \\\\ y=P(1 - r)^t\qquad \begin{cases} y=\textit{current amount}\\ P=\textit{initial amount}\dotfill &3100\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\\ \end{cases} \\\\\\ y = 3100(\stackrel{\stackrel{0.365}{\downarrow }}{1-\frac{r}{100}})^t\qquad \textit{this means that }\qquad 1-\cfrac{r}{100}=0.365 \\\\\\ -\cfrac{r}{100}=-0.635\implies r=(-100)(-0.635)\implies r=\stackrel{\%}{63.5}

5 0
3 years ago
Please help quickly if you can ! :)
Svetradugi [14.3K]

Answer:

y=49x

Step-by-step explanation:

As you can see from the graph, the distance from home increases by 49 miles per hour driven.

Therefore the distance driven for any given time in hours is 49x

Therefore y = 49x

8 0
2 years ago
What is the value of t?
max2010maxim [7]

Answer:p = -1.25

Step-by-step explanation:

Simplifying

3 + 17p = -32 + -11p

Solving

3 + 17p = -32 + -11p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '11p' to each side of the equation.

3 + 17p + 11p = -32 + -11p + 11p

Combine like terms: 17p + 11p = 28p

3 + 28p = -32 + -11p + 11p

Combine like terms: -11p + 11p = 0

3 + 28p = -32 + 0

3 + 28p = -32

Add '-3' to each side of the equation.

3 + -3 + 28p = -32 + -3

Combine like terms: 3 + -3 = 0

0 + 28p = -32 + -3

28p = -32 + -3

Combine like terms: -32 + -3 = -35

28p = -35

Divide each side by '28'.

p = -1.25

Simplifying

p = -1.25

3 0
3 years ago
6 + 7 − 3 + 9 = −1 <br> What does a equal?
Mademuasel [1]

19 = -1. The equation is false.

7 0
3 years ago
Read 2 more answers
What is the y to the x? I don’t get this I need help
Wittaler [7]

Answer:

look below

Step-by-step explanation:

y = 2x + 4

substitute x into the equation

so when x = -1

y = 2(-1) + 4

= -2 + 4

y = 2

(-1,2)

........................

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y = 2(0) + 4

y = 4

(0,4)

......................

when x = 1

y = 2(1) + 4

= 2 + 4

y = 6

(1,6)

pop in the coordinates into the graph now

6 0
4 years ago
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