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3 years ago

11 to the power of negative 4 / 11 to the power to 8

Mathematics

2 answers:

vagabundo [1.1K]3 years ago

4 0

Answer:

11^-12 or 11 to the power or negative twelve

Step-by-step explanation:

11^-4 / 11 ^ 8

according to the laws of indices, when dealing with powers, division is subtraction. so:

-4 - 8 = -12

answer = 11^ -12

exis [7]3 years ago

3 0

Answer:

Hello There!

Your answer is:

<h2>2.2</h2><h2 /><h3>This is rounded, since you get this: 2.2094836e-42</h3><h3 />

If this helps, please give me a thanks!!

- abakugosimp

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What is the domain of the relation graphed below?

vova2212 [387]

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3 years ago

A tank initially contains 60 gallons of brine, with 30 pounds of salt in solution. Pure water runs into the tank at 3 gallons pe

adoni [48]

Answer:

the amount of time until 23 pounds of salt remain in the tank is 0.088 minutes.

Step-by-step explanation:

The variation of the concentration of salt can be expressed as:

$\frac{dC}{dt}=Ci*Qi-Co*Qo$

being

C1: the concentration of salt in the inflow

Qi: the flow entering the tank

C2: the concentration leaving the tank (the same concentration that is in every part of the tank at that moment)

Qo: the flow going out of the tank.

With no salt in the inflow (C1=0), the equation can be reduced to

$\frac{dC}{dt}=-Co*Qo$

Rearranging the equation, it becomes

$\frac{dC}{C}=-Qo*dt$

Integrating both sides

$\int\frac{dC}{C}=\int-Qo*dt\\ln(\abs{C})+x1=-Qo*t+x2\\ln(\abs{C})=-Qo*t+x\\C=exp^{-Qo*t+x}$

It is known that the concentration at t=0 is 30 pounds in 60 gallons, so C(0) is 0.5 pounds/gallon.

$C(0)=exp^{-Qo*0+x}=0.5\\exp^{x} =0.5\\x=ln(0.5)=-0.693\\$

The final equation for the concentration of salt at any given time is

$C=exp^{-3*t-0.693}$

To answer how long it will be until there are 23 pounds of salt in the tank, we can use the last equation:

$C=exp^{-3*t-0.693}\\(23/60)=exp^{-3*t-0.693}\\ln(23/60)=-3*t-0.693\\t=-\frac{ln(23/60)+0.693}{3}=-\frac{-0.959+0.693}{3}= -\frac{-0.266}{3}=0.088$

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3 years ago

Which of the quadratic functions has the widest graph? y = 0.3x2 y = –4x2

Alenkinab [10]

A vertical stretching is the stretching of the graph away from the x-axis.
A vertical compression is the squeezing of the graph towards the x-axis.
A compression is a stretch by a factor less than 1.

For the parent function y = f(x), the vertical stretching or compression of the function is a f(x).

If | a | < 1 (a fraction between 0 and 1), then the graph is compressed vertically by a factor of a units.
If | a | > 1, then the graph is stretched vertically by a factor of a units.

For values of a that are negative, then the vertical compression or vertical stretching of the graph is followed by a reflection across the x-axis.

Thus, the equation with the widest graph is 0.3x^2.

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