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2 years ago

The diameter of a certain bacterium is about 0.00000006 meters.

Mathematics

1 answer:

kipiarov [429]2 years ago

6 0

Is there a question? This is more of a statement.

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A student in Greece discovers a pottery bowl

finlep [7]

Answer:

The age of the pottery bowl to the nearest year is 15606 years.

Step-by-step explanation:

Let the initial amount of C-14 in the bowl i.e. $N_{0} = 100$ and today (say after t years) the amount of C-14 in the bowl i.e. N = 21.

Therefore, from the given equation we can write

$21 = 100 e^{- 0.0001t}$ {Since, k is give to be 0.0001}

⇒ $0.21 = e^{- 0.0001t}$

Now, taking ln on both sides we get

ln 0.21 = - 0.0001t (ln e) {Since, $\ln a^{b} = b \ln a$ }

⇒ - 1.560647 = - 0.0001t {We have ln e = 1}

⇒ t = 15606.47 years ≈ 15606 years

Therefore, the age of the pottery bowl to the nearest year is 15606 years.(Answer)

3 0

3 years ago

Find the slope containing the points (3,7) and (-4,10)

melisa1 [442]

The formula of find the slope is -0.4285

use y2 - y1 over x2-x1

3 0

3 years ago

Read 2 more answers

By how much is the product of 2 1/2 and 2/5 less than 4

masya89 [10]

Answer:

Step-by-step explanation:

7 0

3 years ago

Set up a system of equations needed to solve each probler

goblinko [34]

Answer:

This is not a solvable question, since the least amount of money you can have with this combination is $4.20.

Step-by-step explanation:

Let q = quarters

Let d = dimes

Equation: 0.1d + 0.25q = 3.00

Maximum amount of dimes: 0.1d *42 = 4.2d

8 0

3 years ago

There are 10 true-false questions and 20 multiple choice questions from which to choose a five-question quiz how many ways can t

beks73 [17]

Answer:

In 68229 ways can the quiz be selected such that there is atleast three multiple choice questions

Step-by-step explanation:

Given:

Number of True or false questions= 10

Number of multiple choice questions= 20

To Find:

How many ways can 5 questions can be selected if there must be at least three multiple choice questions =?

Solution:

Combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

The question States there sholud be ATLEAST 3 multiple choice question,

So, we may have

(3 Multiple choice question and 2 true or false question) or

(4 Multiple choice question and 1 true or false question) or

(5 Multiple choice question and 0 true or false question)

Required Number of ways = (20C3 X10C2) +(20C4 X10C1) + (20C5 X10C0)

Required Number of ways $=(\frac{20!}{20!(20-3)!}\times\frac{10!}{10!(10-2)!})+(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-1)!}) +(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-0)!})$

Required Number of ways = ( 1140 x 42) + (4845 x 10) +(15504 x 1)

Required Number of ways = 47880+48450+15504

Required Number of ways = 68229

3 0

2 years ago