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slega [8]
3 years ago
12

An amoeba splits to form two amoebas after one hour. One hour later, each of the two amoebas split to form two more. Every hour,

each amoeba splits to form two more.
1. How many amoebas are there after 2 hours?

2. How many amoebas are there after 6 hours?

3. Write an expression for the number of amoebas after 8 hours. Use ^ to show exponents.
Mathematics
1 answer:
andriy [413]3 years ago
8 0

Answer:

Step-by-step explanation:

After 2 hour 4 amebe and after 6 hour 48 ambebe

2 ^2 =4 amebe

2^6 =48 amebe

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I am donating packages for Christmas drive. After the first week, I spent 126 to donate three children packages and 8 adult pack
anastassius [24]

Answer:

Step-by-step explanation:

Let the price for children and adults package be represented with x and y respectively.

For the first week the sum of the package will be as follows:

3x+8y = 126

For the two weeks after:

6x+4y= 108

So, we will be having two equations

3x+8y = 126..... (1)

6x+4y= 108.......(2)

These are simultaneous equations

From equation 1

3x+8y = 126

3x = 126-8y

X = 126-8y/3 ............. (3)

Put equation 3 into 2

6 ( 126-8y)/3 +4y = 108

756-48y/3 +4y = 108

756-48y+12y/3 = 108

Cross multiplying

756-48y+12y= 108×3

756-48y+ 12y = 324

Collecting like terms

756-324 = 48y-12y

432= 36y

Divide both sides by 36

432/36 = 36y/36

y= 12

Substituting y into equation 1

3x+8= 126

3x+96=126

3x= 126-96

3x= 30

Divide both sides by 3

3x/3 = 30/3

x = 10

Hence for each of the packages for children and adults. It will be 10 and 12 respectively.

8 0
3 years ago
What's 99*pi*2234/2233+0.0001. Correct get 100 points
Brut [27]
I believe the answer is 311.157055138. That is if i did my math correctly. I hope this helps. Good luck!
3 0
3 years ago
Read 2 more answers
1.17-0.07a+(-3.92a) please help asap
Dovator [93]

Answer:

1.17-3.99a

Step-by-step explanation:

You can only combine like terms and 1.17 is not a like term to -0.07a and -3.92a

So you can only combine the like terms

4 0
3 years ago
Whats the answer to 30 less than 10
Deffense [45]

We are looking for a new number which is 30 less than 10. We will get the new number by subtracting 30 from 10. We write it down as: 10-30=-20


And finally the solution for: What number is 30 less than 10? is -20 

Hope this helps!!
6 0
3 years ago
Read 2 more answers
Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall th
Anit [1.1K]

Answer:

The 99% confidence interval is (3.0493, 3.4907).

We are 99% sure that the true mean of the students Perry score is in the above interval.

Step-by-step explanation:

Our sample size is 21.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 21-1 = 20.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have T = 2.528

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{0.40}{\sqrt{21}} = 0.0873

Now, we multiply T and s

M = 2.528*0.0873 = 0.2207

Then

The lower end of the interval is the mean subtracted by M. So:

L = 3.27 - 0.2207 = 3.0493

The upper end of the interval is the mean added to M. So:

LCL = 3.27 + 0.2207 = 3.4907

The 99% confidence interval is (3.0493, 3.4907).

Interpretation:

We are 99% sure that the true mean of the students Perry score is in the above interval.

7 0
3 years ago
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