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3 years ago

How does one do this? I’ve tried and still can’t get it please help

Mathematics

1 answer:

professor190 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

An angle bisector cuts an angle into two equal parts. So m∠ACE = m∠ECB.

m∠ACE = m∠ECB

2x − 15 = x + 5

x = 20

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A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t

11Alexandr11 [23.1K]

Answer:

Question 1: $dm/dt=0.2m$

Question 2: $m=Ae^{(0.2t)}$

Question 3: $m=10e^{(0.2t)}$

Question 4: $m=10g$

Explanation:

Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m

a) By definition: $m'=dm/dt$

b) Given: $rate=0.2m$

c) By substitution: $dm/dt=0.2m$

Question 2: Find the general solution of this equation. Use A as a constant of integration.

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c) Antilogarithm

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Question 3. Which particular solution matches the additional information?

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First, find the mass at t = 3 hours

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Now substitute in the general solution of the differential equation, to find A:

$m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976$

Round A to 1 significant figure:

A = 10.

Particular solution:

$m=10e^{(0.2t)}$

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Substitute t = 0 in the equation of the particular solution:

$m=10e^{0}\\\\m=10g$

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