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3 years ago

a culture started with 2000 bacteria.after 8 hours it grew to 2400 predict how many bacteria will be present after 19 hours?

1 answer:

5 0

This is a geometric sequence but you don't know the growth factor, so you would solve for it first.

2400= 2000(x)^8

1.2= x^8

x= 1.02305188

You can round depending on what your teacher prefers.
Now you can plug in your growth factor and solve.

A(19)= 2000(1.02305188)^19

A(19)= 2000(1.54189747739)

A(19)= 3083.79495477

After 19 hours, 3,084 bacteria will be present.

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If 3x - 6y = 8, then x - 2y =

Fiesta28 [93]

Answer:

8/3 or 2.6666

Step-by-step explanation:

You have divided the first equation by 3 -- all except the 8. So you must divide the 8 by 3 giving you 8/3 which is 2 2/3 or 2.66666

Answer (x - 2y) = 8/3

8 0

3 years ago

Read 2 more answers

J. Reexamine the sequence 20, 14, 8, 2, ... from the problem

DENIUS [597]

Answer:

The n th of the given sequence is $t_{n} = 26-6 n$

Step-by-step explanation:

<u>Step 1</u> :-

Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.

given first term is 20 and difference is $d = second term- first term = 14-20=-6$

now the nth term of given sequence is

by using formula $t_{n}=a+(n-1)d$

$t_{n}= 20+(n-1)(-6)$

$t_{n}= 20-6 n+6$

final answer:-

$t_{n} = 26-6 n$

<u>verification</u>:-

$t_{n} = 26-6 n$

put n=1 we get first term is 20

put n=2 we get second term is 14

put n=3 we get third term is 8

put n=4 we get fourth term is 2

so the n th term of sequence is

$t_{n} = 26-6 n$

3 0

3 years ago

Philip's Bagel Shop recently sold 18 bagels, of which 9 were whole wheat bagels. Considering this data, how many of the next 14

lora16 [44]

Answer:Philip's Bagel Shop recently sold 18 bagels, of which 9 were whole wheat bagels. Considering this data, how many of the next 14 bagels sold should you expect to be whole wheat bagels?

Step-by-step explanation:

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5 0

3 years ago

Mario deposits $300 in a savings account over the course of a year. He deposits money into the account throughout t next year un

Rainbow [258]

The answer is an=2⋅ 300^n−1.

7 0

3 years ago

Based on the regression output, which of the following is the predicted time, in minutes, that it took to gather the items if th

devlian [24]

Answer:

The predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

Step-by-step explanation:

Regression Output :

Predictor Coefficient

Constant 3.0979

Square root of items 2.7633

R.sq.- 96.7%

So, with this data the regression equation is,

$\hat{y}=3.0979+2.7633x$

Now we are supposed to find the predicted time, in minutes, that it took to gather the items if the order has 22 items

Substitute x =22 in equation

$\hat{y}=3.0979+2.7633(22)$

$\hat{y}=63.8905$

Hence the predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

8 0

3 years ago