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2 years ago

Evaluate the expression for the given value of the variable 39 +1/8n=? n= - 1/2

Mathematics

2 answers:

kati45 [8]2 years ago

8 0

Exact form = 623/16
Decimal form = 38.9
Mixed number form= 38 15/16

I am Lyosha [343]2 years ago

5 0

The answer is I’m just doing this for points

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**WILL MARK BRAINLIEST** PLEASE ANSWER!! please ??

geniusboy [140]

Answer:

Port eagle has the higher median

Step-by-step explanation:

That's all I will give you.

Why?

Because the median is the average which would be the middle range between two points.

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

A triangle has two sides that measure 4ft and 3ft. Which could be the measure of the third side?

Nezavi [6.7K]

The measure of the third side must be less than the sum of the other two. That property is valid for all triangles.

For this question, call x the measure of the third side. So you must have

x < 4 + 3

x < 7 ft

The only option that satisfies the condition above is

option A) 5 ft.

I hope this helps. =)

7 0

2 years ago

Read 2 more answers

What is ans 1/2 of 6=

Kazeer [188]

3
the word "of" means to multiply so, 1/2 x 6 = 3

6 0

3 years ago

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Charlize wants to measure the depth of an empty well. She drops a ball from a height of 3 feet into the well

pentagon [3]

Answer:

about 151 feet

Step-by-step explanation:

The height of the ball at a time of 3.1 seconds is given by Charlize's equation as ...

h(3.1) = -16(3.1)^2 +3 = -150.76 . . . feet

The well is about 151 feet deep.

_____

<em>Comment on this measurement</em>

The speed of sound is sufficiently slow that it will make a difference in the time Charlize records. She would get a more accurate measurement if she were able to <em>see</em> the ball hit bottom.

5 0

2 years ago