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3 years ago

7

Solve the system of equations and choose the correct answer from the list of options. x − y = 7 y = 3x + 12 2 over 19 comma 2 ov

er 33 negative 2 over 19 comma negative 33 over 2 negative 19 over 2 comma negative 33 over 2 19 over 2 comma 33 over 2

1 answer:

Crazy boy [7]3 years ago

8 0

The answers are y= -33/2 and x=-19/2

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Which methods correctly solve for the variable s in the equation -2 - 5s =9?

Ivanshal [37]

The answer is C: first add 2 both sides then divide both sides by -5.

3 0

2 years ago

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

The triangle shown is translated up 5. What are the new coordinates of point C?

ehidna [41]

Answer:

(3,6)

Step-by-step explanation:

The triangle shown in figure is translated up 5

To find how coordinate of C

Original coordinate of C:(2,1),

Translation has two types: verbal and horizontal.

For verbal translation: either shift up or down

1. For up shift: add value in Y-cordinate

2. For down shift: subtract value in y coordinate

• For horizontal translation: either shift left or right

I. For left shift: subtract value in x-cordinate

II. For right shift: add value in x-cordinate

C: (3,1)shift 5 unit up

So, add 5in y-cordinate

(3,1)→(3,1+5)

(3,1)→(3:6)

Hence, the new coordinate of point C is (3,6)

7 0

3 years ago

7 times as many as 3,073

mestny [16]

if your wondering what 7 times 3073 is then your answer is 21511. If your looking for something else I don't understand it then. Hope this helps!

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3 years ago

Select all the rates equivalent to the rate 3/4 cup per pound

Artemon [7]

Answer:

Step-by-step explanation:

Multiply the decimal by 100 and write the result with the percentage sign: 0.75 × 100 = 75%.

3 0

2 years ago