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3 years ago

F(x)=e^(4x)+e^(4x) need the answer

Mathematics

1 answer:

brilliants [131]3 years ago

5 0

Answer:

Step-by-step explanation:

F(x)=e^(4x)+e^(4x) =2e^(4x)

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Solve the triangle using law of cosines

klemol [59]

Answer:

What triangle..........?

5 0

3 years ago

F almonds sell for $1.20 per pound, and walnuts sell for $.75 per pound, how many pounds of each must be used to make 45 pounds

lukranit [14]

Answer:

Option A.) 20 pounds of walnuts and 25 pounds of almonds is correct.

Step-by-step explanation:

i) let x be the the number of pounds of almonds

ii) let y be the number of pounds of walnuts

iii) therefore x + y = 45 pounds of the mixture

iv) 1.2x + 0.75y = 1.00 $\times$ 45 = 45

v) Multipling equation in iv) by 4 we get

4.8x + 3y = 180

vi) multiplying equation in iii) by 3 we get

3x + 3y = 135

vii) subtracting equation vi) from equation v) we get 1.8x = 45

ix) therefore we get x = 45/1.8 = 25 pounds of almonds

x) therefore 25 + y = 45 .... substituting value of x from ix) in iii) we get

therefore y = 20 pounds of walnuts

Therefore option A.) 20 pounds of walnuts and 25 pounds of almonds is correct.

7 0

3 years ago

A 500-gallon tank initially contains 220 gallons of pure distilled water. Brine containing 5 pounds of salt per gallon flows int

Wittaler [7]

Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.

Step-by-step explanation:

Salt in the tank is modelled by the Principle of Mass Conservation, which states:

(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)

Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = \frac{d(V_{tank}(t) \cdot c(t))}{dt}$

By expanding the previous equation:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt} + \frac{dV_{tank}(t)}{dt} \cdot c(t)$

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

$V_{tank} = 220\\\frac{dV_{tank}(t)}{dt} = 0$

Since there is no accumulation within the tank, expression is simplified to this:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt}$

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:

$V_{tank} \cdot \frac{dc(t)}{dt} + f_{out} \cdot c(t) = c_0 \cdot f_{in}$ , where $c(0) = 0 \frac{pounds}{gallon}$ .

$\frac{dc(t)}{dt} + \frac{f_{out}}{V_{tank}} \cdot c(t) = \frac{c_0}{V_{tank}} \cdot f_{in}$

The solution of this equation is:

$c(t) = \frac{c_{0}}{f_{out}} \cdot ({1-e^{-\frac{f_{out}}{V_{tank}}\cdot t }})$

The salt concentration after 8 minutes is:

$c(8) = 0.166 \frac{pounds}{gallon}$

The instantaneous amount of salt in the tank is:

$m_{salt} = (0.166 \frac{pounds}{gallon}) \cdot (220 gallons)\\m_{salt} = 36.52 pounds$

3 0

3 years ago

While vacationing, Rosalie sees a mountain and its reflection on the still water of a lake. She draws the mountain and its refle

Greeley [361]

Answer:

I would say (2,-9) is her projection

6 0

3 years ago

Which descriptions of the figure MUST be true? Select all that apply.<br><br> Please help me

Anvisha [2.4K]

Answer:

I think its B and D

Step-by-step explanation:

4 0

3 years ago