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gogolik [260]
3 years ago
14

Mark the absolute maximum point of the graph.is the absolute maximum point (-3,5)?​

Mathematics
1 answer:
ehidna [41]3 years ago
5 0
Yes, the absolute maximum is at (-3,5).
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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
2 over 3 plus 3 over 8
denis-greek [22]

Hello,

The answer to your question is....

2/3 + 3/8

= (2 × 8) + (3 × 3)

          3 × 8

= 25/24 OR 1 1/24

Hope this helps!!!! Sorry I took so long :)


3 0
3 years ago
Dave has $8000 in a savings account, $6000 invested in the stock market, he
Agata [3.3K]

Answer:

D. $11,800 Dave's net worth

5 0
3 years ago
What is the volume of the cylinder? Round your answer to the nearest whole number??
andreyandreev [35.5K]

Answer:

141

Step-by-step explanation:

1. The volume of a cylinder is \pi r^2h, where r = radius and h = height. In this case, the height is 5 feet and the radius is 3 feet.

Solving Volume

Step 1: Plug in values

  • \pi * 3^2 * 5

Step 2: Simplify.

  • 3.14 * 9 * 5
  • 28.26 * 5
  • 141.3
  • 141.3 ≈ 141

Therefore, the volume of the cylinder is 141 ft^3 (but don't put ft^3, as mentioned in the problem).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

7 0
2 years ago
A student wants to construct the inscribed circle of a triangle. What is the first step she should take?
Leviafan [203]
D) construction of the angle bisector.
So if you have a triangle that is not equilateral the perpendicular bisectors would not work so you need angle bisectors.
I have drawn a diagram
The green is the angle bisectors and the yellow the perpendicular bisectors.
You can see the problem straight away

4 0
3 years ago
Read 2 more answers
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