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34kurt
3 years ago
11

Please help me answer this!!!

Mathematics
1 answer:
Bess [88]3 years ago
4 0

a_1 is the first term of the sequence, which is \boxed{-4}.

r is the common ratio of the sequence, the number that you multiply one term by to generate the next term. Here, we see that multiplying by -2 will generate the next term, so \boxed{r=-2}.

We use the formula S_n=\frac{a_1(r^n-1)}{r-1} to find the sum of the first 6 terms - just plug in our values for a_1 and r:

S_6=\frac{-4((-2)^6-1)}{-3}=\frac{-4(63)}{-3}=\boxed{84}.

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A bacteria culture begins with 4 bacteria which double in size every hour. How many bacteria exist in the culture after 8 hours?
Shalnov [3]

Answer:

Option C. 1,024 bacteria

Step-by-step explanation:

We are given that a bacteria culture begins with 4 bacteria which double in size every hour. And we have to find that how many bacteria exist in the culture after 8 hours;

So, Number of bacteria after one hour = 4 * 2 = 8

     Number of bacteria after two hours = 8 * 2 = 16

     Number of bacteria after three hours = 16 * 2 = 32

     Number of bacteria after four hours = 32 * 2 = 64

     Number of bacteria after five hours = 64 * 2 = 128

     Number of bacteria after six hours = 128 * 2 = 256

     Number of bacteria after seven hours = 256 * 2 = 512

     Number of bacteria after eight hours = 512 * 2 = 1,024

Therefore, 1,024 bacteria exist in the culture after 8 hours .    

7 0
3 years ago
Which three types of transformations result in congruent shapes?
Aleks [24]

Answer:

There are three main types of congruence transformations: reflections (flips), rotations (turns), and translations (slides). These congruence transformations can be used to obtain congruent shapes or to verify that two shapes are congruent

6 0
3 years ago
When a=3 , b=8 , c=2 , and d=5 , what is the value of...
EleoNora [17]
A^2 + 3b + c - 2d

(3)^2 + 3(8) + (2) - 2(5)

9 + 24 + 2 - 10 = 25
4 0
3 years ago
Read 2 more answers
a pattern has 14 triangles to every 18 yellow triangles. what is the ratio of yellow triangles to blue triangles?
erma4kov [3.2K]
9:7
Ratios are always simplified so by dividing both 18 and 14 by 2 you get 9 and seven. Because yellow triangles is stated first the 9 is put before the 7 blue triangles.
5 0
3 years ago
Read 2 more answers
Complete each function table,then graph the function
babunello [35]

The y values from:

1. ₋6

2. ₋3

3. 0

4. 3

Given the x values and y value as y = 3x

1. when x = ₋2 then y = 3x

y = 3(₋2)

y = ₋6

2. when x = ₋1 then y = 3x

y = 3(₋1)

y = ₋3

3. when x = 0 then y = 3x

y = 3(0)

y = 0

4. when x = 1 then y = 3x

y = 3(1)

y = 3

therefore we get the points as (₋2 , ₋6) (₋1 , ₋3) (0,0) (1 , 3).The graph is pltted and attached.

Learn more about Coordinate geometry here:

brainly.com/question/11234618

#SPJ9

7 0
2 years ago
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