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masya89 [10]
2 years ago
7

Simplify x X x^5 divided by x^2 X x

Mathematics
2 answers:
Alecsey [184]2 years ago
7 0

Answer:

\huge\boxed{(x\cdot x^5):(x^2\cdot x)=x^3}

Step-by-step explanation:

(x\cdot x^5):(x^2\cdot x)\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=x^{1+5}:x^{2+1}=x^6:x^3\qquad|\text{use}\ a^n:a^m=a^{n-m}\\\\=x^{6-3}=x^3

kobusy [5.1K]2 years ago
5 0

Answer:

X × X^5 ÷ X^2 ×X

X^3

because the same variable can be cancelled.

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Suppose a tank contains 400 gallons of salt water. If pure water flows into the tank at the rate of 7 gallons per minute and the
Strike441 [17]

Answer:

Step-by-step explanation:

This is a differential equation problem most easily solved with an exponential decay equation of the form

y=Ce^{kt}. We know that the initial amount of salt in the tank is 28 pounds, so

C = 28. Now we just need to find k.

The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is \frac{dy}{dt}. Thus, the change in the concentration of salt is found in

\frac{dy}{dt}= inflow of salt - outflow of salt

Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:

3(\frac{y}{400})

Therefore,

\frac{dy}{dt}=0-3(\frac{y}{400}) or just

\frac{dy}{dt}=-\frac{3y}{400} and in terms of time,

-\frac{3t}{400}

Thus, our equation is

y=28e^{-\frac{3t}{400} and filling in 16 for the number of minutes in t:

y = 24.834 pounds of salt

6 0
2 years ago
Find the midpoint of the line segment with the given endpoints: (-1, -6) and (-6, 5).
Vikentia [17]

Answer:

Step-by-step explanation:

First, we will find the midpoint for the x - coordinate first.

Midpoint (x) = \frac{-1+(-6)}{2} \\=\frac{-1-6}{2} \\=\frac{-7}{2} \\=-3.5

Now we will find the midpoint for the y - coordinate.

Midpoint (y) = \frac{-6+5}{2} \\=\frac{-1}{2} \\=-0.5

Therefore from these 2 values we know that the midpoint of this 2 points is (-3.5,-0.5)

8 0
1 year ago
HELP FAST ON TIME LIMIT WILL MARK BRAINLIEST
ikadub [295]

Answer:

D

Step-by-step explanation:

Negative means it goes down and if its linear then th line needs to be straight.

8 0
3 years ago
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Kerri ran the same distance in four different races. Her times were 18.04 seconds, 21.39 seconds, 12.99 seconds, and 14.14 secon
Delvig [45]
16.64 average of the four races that kerri ran in seconds.
8 0
3 years ago
Read 2 more answers
4. When finding the intersection of two lines from both Algebra I and Geometry, you first "set the linear
Masteriza [31]

<u><em>Answer:</em></u>

The intersection point is (-4,-19)

<u><em>Explanation:</em></u>

<u>The two given equations are:</u>

y = 5x + 1

y = 2x - 11

<u>To find the intersection point, we will start by equating the two given equations and solving for x</u>

<u>This is done as follows:</u>

5x + 1 = 2x - 11

5x - 2x = -11 - 1

3x = - 12

x = -4

<u>Then, we will use the x and substitute in any of the equations to get the value of y</u>

<u>Using the first equation:</u>

y = 5x + 1 = 5(-4) + 1 = -19

<u>Check using the second equation:</u>

y = 2x - 11 = 2(-4) - 11 = -19 ................? checked

<u>Therefore:</u>

The intersection point between the two given equations is (-4,-19)

Hope this helps :)

3 0
2 years ago
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