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MrRa [10]
3 years ago
12

Mr. Jones has all the students in his class line up. The 9th student in line ends up being exactly at the middle of the line. Ho

w many students are in Mr. Jones's class?
Mathematics
1 answer:
kifflom [539]3 years ago
6 0
The 9th student is in the middle.
⇒ There are 8 students before him
⇒ There are 8 students behind him

Total number of students = 8 + 1 + 8  = 17

Answer: 17
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Suppose a population grows according to the logistic equation but is subject to a constant total harvest rate of H. If N(t) is t
Elenna [48]

Answer:

a) Equilibrium point : [ 947, 53 ]

b) N = 947 is stable equilibrium, N = 53  is unstable equilibrium

c) N0, the population will not go extinct

Step-by-step explanation:

a)

Given that;

r = 2, k = 1000, H = 100

dN/dT = R(1 - N/k)N - H

so we substitute

dN/dt = 2( 1 - N/1000)N - 100

now for equilibrium solution, dN/dt = 0

so

2( 1 - N/1000)N - 100 = 0

((1000 - N)/1000)N = 50

N^2 - 1000N + 50000 = 0

N = 1000 ± √(-1000)² - 4(1)(50000)) / 2(1)

N = 947.213 OR 52.786

approximately

N = 947 OR 53

Therefore Equilibrium point : [ 947, 53 ]

b)

g(N) = 2( 1 - N/1000)N - 100

= 2N - N²/500 - 100

g'(N) = 2 - N/250

SO AT 947

g'(N) = g'(947) =  2 - 947/250 = -1.788 which is less than (<) 0

so N = 947 is stable equilibrium

now AT 53

g'(N) = g"(53) = 2 - 53/250 = 1.788 which is greater than (>) 0

so N = 53  is unstable equilibrium

The capacity k=1000

If the population is less than 53 then the population will become extinct but since the capacity is equal to 1000 then the population will not go extinct.

6 0
3 years ago
Carrie has a stamp collection she is very proud of. She buys a frame to display her favorite stamps. The frame is 6 inches wide,
olga55 [171]
The stamps should be .85 inches each
7 0
2 years ago
The net of a prism is shown on the coordinate plane. What is the surface area of the prism?
nata0808 [166]

Answer:

Option C. 10 square inch

Step-by-step explanation:

Net of a prism is shown on the coordinate plane. We have to calculate the surface area of the prism.

To calculate the surface area of the net we will calculate the area of the four large rectangles and two squares given in the picture.

Total surface area of the net = 2× small squares + 4×large rectangles

= 2×(1×1) + 4×(1×2) = 2 + 8 = 10 square inch.

Therefore option C. 10 square inch is the answer.

6 0
3 years ago
15 qt/h =  gal/min plz I need help
Savatey [412]

1 gallon = 4 quarts.

15 quarts/ 4 = 3.75 gallons

1 hour = 60 minutes

3.75 gallons / 60 minutes = 0.625 gallons per minute.

7 0
3 years ago
What ratios can we say are equivalent to 2:9?​
faust18 [17]

Answer:

4:18, 6:27, etc

Step-by-step explanation:

Basically, anything x 2 and x 9 would be equivalent as a ratio

5 0
3 years ago
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