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uysha [10]
2 years ago
13

I wanted to see if I got this answer right, pretty sure it’s wrong. Any help appreciated!

Mathematics
1 answer:
Rus_ich [418]2 years ago
3 0
Good job son, you got the question correcy.
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The doubling period of a bacterial population is 20 20 minutes. At time t = 100 t=100 minutes, the bacterial population was 9000
Nuetrik [128]

Answer:

The initial population was 2810

The bacterial population after 5 hours will be 92335548

Step-by-step explanation:

The bacterial population growth formula is:

P = P_0 \times e^{rt}

where P is the population after time t, P_0 is the starting population, i.e. when t = 0, r is the rate of growth in % and t is time in hours

Data: The doubling period of a bacterial population is 20 minutes (1/3 hour). Replacing this information in the formula we get:

2 P_0 = P_0 \times e^{r 1/3}

2 = e^{r \; 1/3}

ln 2 = r \; 1/3

ln 2 \times 3 = r

2.08 \% = r

Data: At time t = 100 minutes (5/3 hours), the bacterial population was 90000. Replacing this information in the formula we get:

90000 = P_0 \times e^{2.08 \; 5/3}

\frac{9000}{e^{2.08 \; 5/3}} = P_0

2810 = P_0

Data: the initial population got above and t = 5 hours. Replacing this information in the formula we get:

P = 2810 \times e^{2.08 \; 5}

P = 92335548

3 0
3 years ago
The width of a rectangle is 8y- 1.5 feet and the length is 1.5y+9 feet. Find the perimeter of the rectangle.
lyudmila [28]

Answer:

P=19y+15

Step-by-step explanation:

Step one:

Given data

dimension of the rectangle

Width = 8y-1.5

Length = 1.5y+9

Required

The expression to represents the Perimeter

Step two:

the perimeter of  a rectangle is expressed as

P= 2L+2W\\\\P=2(1.5y+9)+2(8y-1.5)\\\\P=3y+18+16y-3\\\\

collect like terms

P=3y+16y+18-3\\\\P=19y+15

6 0
3 years ago
Luisa buys a plane ticket that has an original price of $\$240$ . She uses a coupon code to get a $30\%$ discount off of the ori
stealth61 [152]

Answer:

c

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Help help help please !!!!
docker41 [41]

Answer:

D. 17

Step-by-step explanation:

If PR equals 34, to get PT divide 34 by 2 since it's half of PR.

6 0
3 years ago
The rationalizing factor of 1/√13 is
SashulF [63]

Answer:

Exact Form: √13/13

Decimal Form: 0.27735009…

Step-by-step explanation:

7 0
3 years ago
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