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d1i1m1o1n [39]
2 years ago
13

** 30 POINTS ** Anyone got an idea for 7 and 8?

Mathematics
1 answer:
Harrizon [31]2 years ago
5 0
7. i would guess 95-100 people were surveyed. the way you estimate this is by adding the number of students in each category. ex. about 3 in the first bar, about 9 in the next
8. no, you could not list the exact height because the data given only shows the number of students in between 75-80, not their actual height.
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Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains liters of a dye solution with a
Alja [10]

Answer:

t = 460.52 min

Step-by-step explanation:

Here is the complete question

Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 liters of a dye solution with a concentration of 1 g/liter. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 liters/min, the well-stirred solution flowing out at the same rate.Find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value.

Solution

Let Q(t) represent the amount of dye at any time t. Q' represent the net rate of change of amount of dye in the tank. Q' = inflow - outflow.

inflow = 0 (since the incoming water contains no dye)

outflow = concentration × rate of water inflow

Concentration = Quantity/volume = Q/200

outflow = concentration × rate of water inflow = Q/200 g/liter × 2 liters/min = Q/100 g/min.

So, Q' = inflow - outflow = 0 - Q/100

Q' = -Q/100 This is our differential equation. We solve it as follows

Q'/Q = -1/100

∫Q'/Q = ∫-1/100

㏑Q  = -t/100 + c

Q(t) = e^{(-t/100 + c)} = e^{(-t/100)}e^{c}  = Ae^{(-t/100)}\\Q(t) = Ae^{(-t/100)}

when t = 0, Q = 200 L × 1 g/L = 200 g

Q(0) = 200 = Ae^{(-0/100)} = Ae^{(0)} = A\\A = 200.\\So, Q(t) = 200e^{(-t/100)}

We are to find t when Q = 1% of its original value. 1% of 200 g = 0.01 × 200 = 2

2 = 200e^{(-t/100)}\\\frac{2}{200} =  e^{(-t/100)}

㏑0.01 = -t/100

t = -100㏑0.01

t = 460.52 min

6 0
3 years ago
A car can drive 476 miles on 14 gallon
Degger [83]
What is the question?
8 0
3 years ago
What is 38475 x 304944 ? My teacher won't let me use a calculator!
bearhunter [10]

Answer:

1,059,680,400

Step-by-step explanation:

7 0
2 years ago
What’s the answer for the formula question
Luda [366]

Answer: N = 5

Step-by-step explanation:

M = 3N + 4R

M = 43

R = 7

Replacing by the values

43 = 3N + 4*7

43 = 3N + 28

43-28 = 3N

3N = 15

N = 15/3

N = 5

5 0
3 years ago
Find the volume of a prism. The area of the pentagonal base is (124/tan36°)m² . It’s height is 13 m. If necessary, round your an
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Answer:

24.56

Step-by-step explanation:

5 0
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