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love history [14]
3 years ago
10

Help please.. having trouble with this question

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0

y = 7/4x + b

-3 = (7/4)(2) + b

b = -6.5

y = (7/4)x - 6.5

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If 3,000 bacteria, with a growth constant (k) of 2.8 per hour, are present at the beginning of an experiment, in how many hours
Ivenika [448]

Given:

Initial number of bacteria = 3000

With a growth constant (k) of 2.8 per hour.

To find:

The number of hours it will take to be 15,000 bacteria.

Solution:

Let P(t) be the number of bacteria after t number of hours.

The exponential growth model (continuously) is:

P(t)=P_0e^{kt}

Where, P_0 is the initial value, k is the growth constant and t is the number of years.

Putting P(t)=15000,P_0=3000, k=2.8 in the above formula, we get

15000=3000e^{2.8t}

\dfrac{15000}{3000}=e^{2.8t}

5=e^{2.8t}

Taking ln on both sides, we get

\ln 5=\ln e^{2.8t}

1.609438=2.8t                  [\because \ln e^x=x]

\dfrac{1.609438}{2.8}=t

0.574799=t

t\approx 0.575

Therefore, the number of bacteria will be 15,000 after 0.575 hours.

4 0
2 years ago
-8m+28=156-12m please help me !!!!
Igoryamba

Answer:

m = 32

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is 3/2m-m=4+1/2m
Annette [7]

Answer:

answer is 08

Step-by-step explanation:

3/2m-m=4+1/2*m

3m/2-m=4+1/2*m

3m/2-m=4+1/2m

3m/2-m=4+1m/2

3m/2-m=4+1m/2

3m/2-m=4+m/2

3m/2-m=4+m/2

2(3m/2-m)=2(4+m/2)

m=m+8

5 0
3 years ago
12. The Appalachian Trail is about 2,175 miles long.
spayn [35]
a. (2175 mi)/(18 mi/day) = 120.83... day ≈ 121 days

b.
120.83.../4 = 30.2083...
   Joelle will hike 30 full days and one partial day.
6 0
3 years ago
You are renting a surfboard for the day. The surfboard rental fee is $25 with an additional charge of $7 per hour. You have at m
o-na [289]

Initial fee: $25

Per hour fee: $7

Your budget: $60

x = # of hours you can rent the surfboard

$25 + $7x ≤ $60

Subtract $25 from both sides.

$7x ≤ $35

Divide both sides by $7

x ≤ 5

You can rent the surfboard for less than or equal to 5 hours.

6 0
3 years ago
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