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Svetach [21]
3 years ago
10

Which expression is equivalent to a^3 • b^3 • a^-3 • b?

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0
The answer is B! b^4. If we examine the expression given, we have a^3 * b^3 * a^-3 * b= a^3/a^3 * b^3 * b = 1 * b^4

Hope this helps! Any questions please feel free to ask!!

Thank you!!
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Consider the following. x = t2 − 2t, y = t5, 1 ≤ t ≤ 4 Set up an integral that represents the length of the curve. 4 1 dt Use yo
zavuch27 [327]

Answer:

L ≈ 1023.0562

Step-by-step explanation:

We are given;

x = t² - 2t

dx/dt = 2t - 2

Also, y = t^(5)

dy/dt = 5t⁴

The arc length formula is;

L = (α,β)∫√[(dx/dt)² + (dy/dt)²]dt

Where α and β are the boundary points. Thus, applying this to our question, we have;

L = (1,4)∫√[(2t - 2)² + (5t⁴)²]dt

L = (1,4)∫√[4t² - 8t + 4 + 25t^(8)]dt

L = (1,4)∫√[25t^(8) + 4t² - 8t + 4]dt

Using online integral calculator, we have;

L ≈ 1023.0562

5 0
3 years ago
My Christmas present to you​
sergey [27]

Answer:

Step-by-step explanation:

if you need help let me know

7 0
2 years ago
Read 2 more answers
What is the simplified form of the expression?<br> 15 y - 4(2y + 6)
Bas_tet [7]
ANSWER:
7y - 24

EXPLANATION:

Okay, so start with distribution.

15y - 8y - 24

Then add like terms

7y - 24

And done

Hope this helped!! Pls give brainliest
3 0
3 years ago
3x-5y=60<br> 4x+5y=-4<br> what is the system of linear equation
Sergeu [11.5K]

(3x-5y=60)

4x+5y=-4

3(8)-5(7.2)=60

4(8)+5(-7.2)=-4

7x=56

÷7. ÷7

x=8

3(8)-5y=60

4(8)+5y=-4

32+5y=-4

-32. -32

5y=-36

÷5. ÷5

y=7.2

4 0
3 years ago
Use the graph to state the solution for the system. (In other words, what is the solution for the system?)
timurjin [86]
(2,1) is the solution because its where they both intersect..
3 0
2 years ago
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