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elena-s [515]
3 years ago
12

Please help, giving brainliest too whoever answers first

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
6 0

Answer:

A

Step-by-step explanation:

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Solve the equation using addition or subtraction<br> 22 + 15 = d - 17
agasfer [191]

Answer:

d=54

Step-by-step explanation:

22 + 15 = d - 17

37=d-17

54=d

d=54

3 0
2 years ago
Read 2 more answers
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 and ∠b are complementary angles. ∠a measures 32੦. What is the measure of ∠b?
Ganezh [65]

Answer:

b = 58

Step-by-step explanation:

Complementary angles add to 90 degrees.

a+b = 90

32+b = 90

Subtract 32 from each side

32+b-32 = 90-32

b = 58

3 0
3 years ago
Read 2 more answers
Help!!!!!!!!!!!!!!!!!!!
nalin [4]

no clue, man. sorry. i really wish i understood it so i could help you

3 0
3 years ago
G=3t^2−5t+6<br><br> P=−8t^2+7t−9<br><br> G+P=
kotykmax [81]

Answer:

  -5t^2 +2t -3

Step-by-step explanation:

Collect terms in the sum:

  G+P = (3t^2 -5t +6) +(-8t^2 +7t -9) = (3-8)t^2 +(-5+7)t +(6-9)

  = -5t^2 +2t -3

3 0
2 years ago
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