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Ostrovityanka [42]
4 years ago
6

Monica measures the number of bacteria that are living on her petri dish. Each day, she measures the amount of change in the num

ber of bacteria. These amounts create a geometric sequence. Use the data in the table to determine the sum of the amounts of change in the bacteria after the seventh day. Day Amount of Change in Bacteria 1 2 2 −8 3 32 4 −128 −6553.2 −10.8 6554 11.6
Mathematics
1 answer:
den301095 [7]4 years ago
8 0

Answer:

  6554

Step-by-step explanation:

The sequence 2, -8, 32, -128 has a first term (a1) of 2 and a common ratio (r) of -8/2 = -4. The sum of n terms is given by ...

  Sn = a1·(r^n -1)/(r -1)

For your sequence, the sum of 7 terms is ...

  S7 = 2·((-4)^7 -1)/(-4-1) = 2(-16384/-5) = 6554

The sum of changes after the 7th day is 6554.

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Select three unit rates that can be used To describe the price of juice one dollar for 12 ounces $1.59 for a pint two dollars fo
enot [183]

Answer:

$1.59 for a pint,

two dollars for a quart,

299 for a gallon

Step-by-step explanation:

Since, rate is used to compare different kinds of quantities and it is the ratio of the quantities,

Also, unit rate states the amount of first quantity corresponding to the unit amount of second quantity,

When we talk about the unit rates for a quantity,

Then it shows the price of the quantity per unit amount.

Thus, by the above explanation it is clear that,

The unit price for representing the price of juice would be,

$1.59 for a pint,

two dollars for a quart,

299 for a gallon.

Note : we do not consider 'one dollar for 12 ounces' a unit price because it is not the price per 1 ounce.

7 0
3 years ago
Find the mean of the data set l. -8, 12, 25.9, -6.3, 21.7​
zaharov [31]

Answer:

9.06

Step-by-step explanation:

1. Add up all data values to get the sum:

-8 + 12 + 25.9 + -6.3 + 21.9 = 45.5

2. Count the number of values in your data set:

5

3. Divide the sum by the count:

45.4/5 = 9.06

4. You can round to 9.1

7 0
3 years ago
?/6 < 1/2 which one is it
Alekssandra [29.7K]

Answer:

1/6<1/2

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
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mash [69]

Answer:

The answer is 1 1/4 or a.

Step-by-step explanation:

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Hope this helps, tried to explain it in the best way I can.

7 0
3 years ago
How would you write this? 3 fifths of the sum of 7 and r plus the product of 8 and w
ruslelena [56]

Hello!

You could write this as the equation below.

\boxed {\frac{3}{5}(7+r) + 8w}

I hope this helps!

6 0
4 years ago
Read 2 more answers
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