A simple off bacteria is debating according to the half life model. If the simple begins with 800 bacteria, and after 18 minutes there is 240 bacteria, after how many minutes will there be 40 remaining

Answers

Answer 1

Answer:

After 43 minutes, the bacteria will be 40 remainings.

Step-by-step explanation:

Given that:

Initial population of bacteria [tex]A_o[/tex] = 800

After time (t) = 18 mins

A = 240

Using the model:

[tex]A = A_o e^{k*t}[/tex]

[tex]240=800 e^{k*18}[/tex]

[tex]\dfrac{240}{800}= e^{18k}[/tex]

[tex]0.3= e^{18k}[/tex]

By applying natural log on both sides, we get:

In(0,3) = 18k (In e)

- 1.20397 = 18 k * (1)

18 k = -1.20397

k =  -1.20397/ 18

k = - 0.06688

k ≅ -0.07

After time (t), the bacteria population (A) = 40

Now;

[tex]40 = 800 e^{k*t}[/tex]

[tex]\dfrac{40 }{800}= e^{-0.07*t}[/tex]

[tex]0.05= e^{-0.07*t}[/tex]

In (0.05) = -0.07t * In (e)

- 2.9957 = - 0.07t

t = - 2.9957/ -0.07

t = 42.795

t ≅ 43 minutes

Thus, after 43 minutes, the bacteria will be 40 remainings.


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What is the quotient when (-12x^9 + 3x^7 + 24x^6) is divided by 6x?

Answers

Answer:

(-12x^9+3x^7+24x^6)÷6=-2×^10+1/2x^8+4x^7

solve for a - due soon!

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a = 1/2 or 0.5
My work is shown below. I hope this helped!! ^w^

please answer them alll 50 points
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Answers

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Answers

Answer:

so first we will find the interior angle:  

1 angle :  31 (given )

2 angle :31 ( the base angles of isoscles triangle are equal)

3 angle : 31 + 31 + x = 180                     ( angle sum property of triangle)

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now the exterior angles :

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( i dont know if there is any other way, but this is one)

THIS IS WRONG CAN SOMEONE CORRECT THIS PLEASE THANK YOU
A football team wants to buy a football. The football costs $52. There are 13 members of the team. How much will each of the team members contribute to be able to purchase the football if they had $28 already.

Solution: Let the amount each team member contributes be x, then
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13x ≥ 52 - 28
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Answer:

heyyyyyyyyyyyyyyy

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Convert 1.42 m to customary units

Answers

Answer:

the answer is

Step-by-step explanation:

1.553 yards

1.42 m to customary units is 1.553 yards.

What is customary units?

On the other hand, "customary" US units have relationships that are not powers of 10;

 1 ft = 12 in

 1 yd = 3 ft

 1 rod = 5.5 yd

 1 chain = 4 rods

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The point of this exercise is to give you an appreciation of the fact that metric length units are related by powers of 10 means units conversion generally consists only of adjustment of the decimal point, or the power of 10 (for numbers in scientific notation).

For example;

1 cm = 10 mm

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The prefixes m, c, d, k are standard SI prefixes applicable to other SI units as well.

Therefore, the conversion from one unit of US customary measure to another involves conversion factors that are not always easily remembered.

Hence,  1.42 m to customary units is 1.553 yards.

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Answers

Answer:

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Step-by-step explanation:

We need to find 16 ⅔ % of Rs 45,00 .

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Answer:

I don't really understand the question? could you explain please :)

Step-by-step explanation:

PLZZZZZZZZZZ HELP MEEEEEEEEEEE IM TIMED AND PLZZZ EXPLAIN HOW YOU GOT THE ANSWER
Terrance uses the jugs of water to fill cups with approximately 3.75 ounces of water each. About how many cups can Terrance fill if he uses all of the water in the jugs? Show your work or explain how you determined your answer.

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Enter your answer and your work or explanation in the box provided.

Answers

Answer:

34.13

Step-by-step explanation:

1) Divide 128 by 3.75 which will give you 34.13

Answer: 34.13

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Let's simplify step-by-step.

5−3x+x−32

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

[tex] \huge {625}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div 25 \\ \\ = \huge {( {5}^{4})}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ = \huge{5}^{ \cancel4 \times \frac{3}{ \cancel8 \: \: \red{ \bold 2}} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} + \frac{1}{2}} \div {5}^{2} \\ \\ \huge= {5}^{ \frac{4}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ 2 } \div {5}^{2} \\ \\ \huge= {5}^{ 2 - 2 } \\ \\ \huge= {5}^{ 0 } \\ \\ \huge= 1[/tex]

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Answers

Answer:

If you're heading into New York City, LaGuardia is the closest. It's just 8.6 miles from LaGuardia to Midtown Manhattan, compared to 14.7 miles from JFK and 16.6 miles from Newark.

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To assess if flying with United Airlines to LGA is better in terms of arriving on time, we would have to examine the on-time performance data for United Airlines flights at both airports.

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United Airlines is a significant American airline that flies domestically as well as internationally. The airline provides a wide range of services, such as passenger transportation, cargo delivery, and vacation packages.

The US Department of Transportation tracks and distributes on-time performance information for airlines and airports on its website. We can assess whether airport has a higher on-time performance record for this carrier by examining statistics for United Airlines trips to LGA.

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Answers

6.2 I hope that helps


If the lengths of two sides of a triangle are 10 meters and 14 meters, which of the following measures is the
possible length of the third side?
O 2 meters
O 4 meters
O 22 meters
O 24 meters

Answers

C, 22 meters.

The rule is that the two smallest sides need to add up to be greater than the largest side.


2 meters + 10 meters is smaller than 14, so it doesn’t work
4 meters + 10 meters is only equal to 14, so it doesn’t work either
10 meters + 14 meters IS greater than 22, so it does work
10 meters + 14 meters is equal to 24, so it doesn’t work.
Answer: 22 meters

Explanation: You need a bigger side if you have two smaller sides.

PLEASE HELP FAST WHAT IS THE ANSWER FOR THIS QUESTION I WILL GVIE BRAINLIST AND EXTRA POINTS FOR CORRECT ANSWER THANKS!!

Answers

Answer:

f(2) = -3

Step-by-step explanation:

This is the answer because:

1) The question is basically asking what the y-cordinate is.

2) In order to find the y-cordinate, look at the graph and find where 2 is on the x-axis. Then, see wheree the y-coordinate is on the same line a the x-cordinate which is 2.

3) When you line up the cordinates, you can see that where x is 2, y is -3.

Therefore, the answer is -3.

Hope this helps! :D



A gift shop wants to make gift baskets for its regular customers. There are 24 bottles
of shampoo, 36 tubes of hand lotion, and 48 bars of soap. The same number of each
item should be in each basket. What is the greatest number of baskets that can be
made?

Answers

Answer:

Find the biggest # that can divide all 3 #'s, and that's your answer.

Step-by-step explanation:

24 is divisible by:

1, 2, 3, 4, 6, 8, 12, 24

36 is divisible by:

1, 2, 3, 4, 6,  9, 12, 18, 36

48 is divisible by:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The biggest # that can divide all 3 #'s is 12, so the greatest amount of baskets that can be made is 12 baskets.

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