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olganol [36]
4 years ago
8

Which of the following would be equivalent to 11 to the 8th power over 11 to the 3rd power

Mathematics
2 answers:
Natasha_Volkova [10]4 years ago
7 0

Answer:

The equivalent equation can be written as: 11^5

Step-by-step explanation:

There is a relationship that can be very usefull here:

(a^b)*(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

Then, if we have:

(11^8)/(11^3) = 11^(8-3) = 11^5

This means that 11^5 is equivalent to 11 to the 8th power over 11 to the 3rd power

Sonja [21]4 years ago
4 0
Use\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{11^8}{11^3}=11^{8-3}=\boxed{11^5}
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5(2x - 8) - 15 = 5<br><br> Show/Write the steps you would use to solve the equation.
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Answer:

x=6

Step-by-step explanation:

Solve for x:

5 (2 x - 8) - 15 = 5

5 (2 x - 8) = 10 x - 40:

10 x - 40 - 15 = 5

Grouping like terms, 10 x - 40 - 15 = 10 x + (-40 - 15):

10 x + (-40 - 15) = 5

-40 - 15 = -55:

10 x + -55 = 5

Add 55 to both sides:

10 x + (55 - 55) = 55 + 5

55 - 55 = 0:

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5 + 55 = 60:

10 x = 60

Divide both sides of 10 x = 60 by 10:

(10 x)/10 = 60/10

10/10 = 1:

x = 60/10

The gcd of 60 and 10 is 10, so 60/10 = (10×6)/(10×1) = 10/10×6 = 6:

Answer: |

| x = 6

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3 years ago
A plane, parallel to the base of a cone slices through the cone at the midpoint between points A and B. Determine the volume of
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Answer:

D).  659.73 in^3.

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=  1/3  π 6^2 * 20 - 1/3  π 3^2 * 10

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