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3 years ago

The population of a certain species of bacteria doubles every hour. Use the following

Mathematics

1 answer:

elena55 [62]3 years ago

7 0

Answer:

The bacteria will grow from 1 to 1024 in 10 hours

Step-by-step explanation:

Given

P_0 = 1

P = 1024

We have to find time

Putting values in the formula

$P = P_0(2)^t\\1024=(1)(2)^t$

Anything multiplied with 1 remains the same

$1024=2^t\\2^{10} = 2^t$

Using the property "when bases are same, the exponents can be put equivalent"

t = 10 hours

Therefore, the bacteria will grow from 1 to 1024 in 10 hours ..

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Please give real answers with an explaination. 30 points + I will give brainliest. No Docs/No Files/No Links only answer with ex

Anon25 [30]

Answer:

option A

Step-by-step explanation:

The line splits the triangle ABC into two triangles with same base length.

Therefore ,

$Area \ of \ ABC = Area \ of \ ABD + Area \ of \ CBD\\\\$

$= (\frac{1}{2} \times base \times height) + (\frac{1}{2} \times base \times height)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times CD \times BD)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times AD \times BD)$ $[ \ Given : AD = \ CD \ ]$

$= 2 \times (\frac{1}{2} \times AD \times BD)\\\\= 2 \times Area \ of \ ABD$

5 0

3 years ago

Pls help!ill give brainlest to the smartest!

inn [45]

This should help you

6 0

2 years ago

Sammy picks blueberries and cherry tomatoes.

Nezavi [6.7K]

Answer:

Step-by-step explanation:

b = pints of blueberries

c = pints of cherry tomatoes

3b + 2c = 28

2b = c

First, substitute 2b into the c of the first equation.

3b + 2(2b) = 28

3b + 4b = 28

7b = 28

b = 4

Then, substitute 4 into the b of the second equation.

2(4) = c

c = 8

Then, substitute both values into the first equation to check.

3(4) + 2(8) = 28

12 + 16 = 28

7 0

3 years ago

In the sequence 0, 1, 1, 3, 6, 9, 27, ..., the first term is 0. Subsequent terms are produced by alternately adding and multiply

salantis [7]

Answer:

645

Step-by-step explanation:

Let's first try and write our series up to 125 before we know the next number.

Well continue from the given series.

0, 1, 1, 3, 6, 9, 27

The next number= 27+4= 31 , then 31 *4 = 124

The next after 124 = 124+5= 129, then 129*5 = 645

So actually the question was supposed to be the term greater than 124 because 125 does not exist in the series.

The number is 645

5 0

4 years ago

Which of the following is not a factor of x^3 – 3x^2 – 4x + 12?

Slav-nsk [51]

Answer:

c. (x + 3)

Step-by-step explanation:

using factor theorem

if x - 3 is a factor then p(a) = 0

p(a)= x^3 - 3x^2 - 4x + 12

a.(x-3)

p(3) = (3)^3 - 3(3)^2 - 4(3) + 12

= 27 - 27 - 12 + 12

= 0

therefore x-3 is a factor

b.(x + 2)

p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12

= -8 -12 + 8 + 12

,= 0

therefore x + 2 is a factor

c.(x + 3)

p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12

= -27 -27 + 12 + 12

= -30

therefore x + 3 is not a factor

d.(x-2)

p(2) = (2)^3 - 3(2)^2 - 4(2) + 12

= 8 -12 - 8 + 12

= 0

therefore x - 2 is a factor

4 0

3 years ago