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enot [183]
3 years ago
11

What value of n makes the equation true?

Mathematics
2 answers:
kotykmax [81]3 years ago
6 0

Answer:

n = 10

Step-by-step explanation:

(2x⁹yⁿ) * (4x²y¹⁰) = 8 x¹¹ y²⁰

use the rules of exponents to simplify the expression.

2¹ x⁹ yⁿ * 4¹ x² y¹⁰

use the commutative property of multiplication

2¹ * 4¹ x⁹ x² yⁿ y¹⁰

add exponents of the same base:

8 x⁹ ⁺ ²  y ⁿ ⁺ ¹⁰

back to original equation:

8 x⁹ ⁺ ²  y ⁿ ⁺ ¹⁰ =  8 x¹¹ y²⁰

therefore

the value of n = 10

goldenfox [79]3 years ago
4 0

Answer:

n=10

Step-by-step explanation:

You need n to be 10 because: y^20= (y^10)^2

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Given the function h(x) = 3(5)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
otez555 [7]

We can write the function in terms of y rather than h(x) so that:

y = 3 (5)^x

 

A. The rate of change is simply calculated as:

r = (y2 – y1) / (x2 – x1) where r stands for rate

 

Section A:

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rB = 300

 

B. We take the ratio of rB / rA:

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During a tunnel construction project, engineers used explosives to excavate partway into a mountain. Because of time constraints
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The given data can be tabulated as:

number of days,x                            length of tunnel (ft), y

0                                                                              225

5                                                                              350

20                                                                           725

30                                                                           975

55                                                                           1,600

 

To check if the growth is linear, the slope at points (0, 225) and (5, 350), and (0, 225) and (20, 725) should be equal. The formula for slope is:

m = (y2 – y1) / (x2 – x1)

 

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The complete equation is:

y = 25x + 225

 

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y = 25(86) + 225

y = 2,375 ft

 

Therefore the length of the completed tunnel is 2,375 feet.

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