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lions [1.4K]
3 years ago
6

Find the missing exponent. Set up an equation and solve. : x^4·x^n = x^5

Mathematics
1 answer:
Assoli18 [71]3 years ago
7 0
Use\ a^n\cdot a^m=a^{n+m}\\\\x^4\cdot x^n=x^5\\\\x^{4+n}=x^5\iff4+n=5\ \ \ |subtract\ 4\ from\ both\ sides\\\\\boxed{n=1}
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What are the first, second, and third frequencies audible from a 20 cm long organ pipe when (A) only one end is open and when (B
kotykmax [81]
A) The answers are:
the first frequency - 428.75 Hz
the second frequency - 1286.25 Hz
the third frequency - 2143.75 Hz

The frequency (when the pipe is closed) is: f = v(2n - 1)/4L
v - the speed of sound
n - the frequency order
L - the length of the organ pipe

We know:
v = 343 m/s
L = 20 cm = 0.2 m

1. The first frequency (n = 1):
f = 343 * (2 * 1 - 1) / 4 * 0.2 = 343 * 1 / 0.8 = 428.75 Hz


2. The second frequency (n = 2):
f = 343 * (2 * 2 - 1) / 4 * 0.2 = 343 * 3 / 0.8 = 1286.25 Hz


3. The third frequency (n = 3):
f = 343 * (2 * 3 - 1) / 4 * 0.2 = 343 * 5 / 0.8 = 2143.75 Hz


B) The answers are:

the first frequency - 857.5 Hz
the second frequency - 1715 Hz
the third frequency - 2572.5 Hz

The frequency (when the pipe is open) is: f = vn/2L
v - the speed of sound
n - the frequency order
L - the length of the organ pipe

We know:
v = 343 m/s
L = 20 cm = 0.2 m

1. The first frequency (n = 1):
f = 343 * 1 / 2 * 0.2 = 343 / 0.4 = 857.5 Hz


2. The second frequency (n = 2):
f = 343 * 2 / 2 * 0.2 = 686 / 0.4 = 1715 Hz


3. The third frequency (n = 3):
f = 343 * 3 / 2 * 0.2 = 1029 / 0.4 = 2572.5 Hz
4 0
3 years ago
Consider x^4+8xy^2=-135 find dy/dt when x=3, y=-3 and dx/dt=2
-BARSIC- [3]

Answer:

0.3224 listen in class

4 0
4 years ago
Can someone Help plz!!
Natasha_Volkova [10]
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7 0
3 years ago
What are the missing numbers in the data set? Assume the numbers are in order
prohojiy [21]

Answer:

This answer is 42

Step-by-step explanation:

42 - 24 = 18

6 0
3 years ago
You randomly choose one marble from the jar. Find the theoretical probability of the event.
zysi [14]

Answer:

1. 33%

2. 16%

3. 50%

Step-by-step explanation:

4 0
3 years ago
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