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wel
3 years ago
7

Solve the system by elimination ​

Mathematics
1 answer:
AnnyKZ [126]3 years ago
7 0

Answer:

Can you add a picture?

Step-by-step explanation:

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A bacteria colony increases in size at a rate of 4.0565e1.3t bacteria per hour. If the initial population is 54 bacteria, find t
Dovator [93]

Answer:

Population of bacteria four hours later A=616.5187  or nearest whole number

A=616

Step-by-step explanation:

Given,

Let amount of bacteria four hours later is=A

Rate of increase of bacteria per hour  =\frac{\partial x}{\partial t}=4.0565e^{1.3t}

Initial population of bacteria is =54

Time 4 hours

Find the population of bacteria 4 hours later

Solution,

\int_{54}^{A}dx=\int_{0}^{4}4.0565e^{1.3t}dt

\left [ x \right ]_{54}^{A}=4.0565/1.3\left [e^{1.3t}  \right ]_{0}^{4}

A-54=4.0565/1.3\left ( e^{1.3\times 4} -1\right )

A-54=562.5187301

A=562.5187301+54

A=616.5187

Population of bacteria 4 hours later isA=616

8 0
4 years ago
Find the measure of an exterior angle of a regular polygon with 20 sides. Round to the nearest tenth ?
Lisa [10]
To find the interior angle, you use the formula ((n - 2) x 180) / n (where n is the number of sides). 
So, ((20 - 2) x 180) / 20 = 162
To find the exterior angle, you merely take away the interior angle from 180.
180 - 162 = 18, so the exterior angle is 18 degrees

Another, easier, way is to just divide 360 by n. All exterior angles always add to 360. Thus, 360 / 20 = 18 degrees
6 0
4 years ago
Read 2 more answers
Im not sure how to solve this. Please help. ​
Andreyy89

Answer:

B

hope it helps

4 0
3 years ago
Stan wants to start an ira that will have $250,000 in it when he retires in 25 years. how much should he invest semiannually in
prisoha [69]

Answer:A

Step-by-step explanation:

8 0
2 years ago
Given: m∠AKB = 25°
dexar [7]

Answer:

V = 255.98189 pi

SA = 172.64114π

Step-by-step explanation:

The first thing to do is find the radius.

the measure of angle AKO = 1/2 the measure of angle AKB

m< AKO = 12.5 degrees

Now use trig to find AO (aka the radius)

tan(12.5) = AO/25

AO = 25* tan(12.5)

<em>I'm leaving it like this to get a more accurate number</em>

Now to find the volume

the volume of a cone is pir^2h/3

plugging everything in we get:

pi(25*tan(12.5))^2 * 25/3

which is about <u>255.98189 pi</u>

Now for surface area

(this is the moment I realize symbols exist)

SA = πr(r+√h²+r²)

plugging everything in we have

π(25tan(12.5))((25tan(12.5)+√625+(25tan(12.5))^2)

<em>I know it looks like a lot but that's mainly because I left the radius as 25tan(12.5)</em>

The Surface Area is about <u>172.64114π</u>

8 0
3 years ago
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