(
3
x
3
2
y
3
x
2
y
−
1
2
)
−
2
(
3
x
3
2
y
3
x
2
y
-
1
2
)
-
2
Move
x
3
2
x
3
2
to the denominator using the negative exponent rule
b
n
=
1
b
−
n
b
n
=
1
b
-
n
.
⎛
⎝
3
y
3
x
2
y
−
1
2
x
−
3
2
⎞
⎠
−
2
(
3
y
3
x
2
y
-
1
2
x
-
3
2
)
-
2
Multiply
x
2
x
2
by
x
−
3
2
x
-
3
2
by adding the exponents.
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(
3
y
3
x
1
2
y
−
1
2
)
−
2
(
3
y
3
x
1
2
y
-
1
2
)
-
2
Move
y
−
1
2
y
-
1
2
to the numerator using the negative exponent rule
1
b
−
n
=
b
n
1
b
-
n
=
b
n
.
(
3
y
3
y
1
2
x
1
2
)
−
2
(
3
y
3
y
1
2
x
1
2
)
-
2
Multiply
y
3
y
3
by
y
1
2
y
1
2
by adding the exponents.
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⎛
⎝
3
y
7
2
x
1
2
⎞
⎠
−
2
(
3
y
7
2
x
1
2
)
-
2
Change the sign of the exponent by rewriting the base as its reciprocal.
⎛
⎝
x
1
2
3
y
7
2
⎞
⎠
2
(
x
1
2
3
y
7
2
)
2
Use the power rule
(
a
b
)
n
=
a
n
b
n
(
a
b
)
n
=
a
n
b
n
to distribute the exponent.
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(
x
1
2
)
2
3
2
(
y
7
2
)
2
(
x
1
2
)
2
3
2
(
y
7
2
)
2
Simplify the numerator.
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x
3
2
(
y
7
2
)
2
x
3
2
(
y
7
2
)
2
Simplify the denominator.
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x
9
y
7
Answer:
The amount of weeks is your independent variable, or X variable, and the height is you dependents variable.
Step-by-step explanation:
I don't know what this question is about so I'm gonna use plants as an example. The amounts of weeks that you are growing a plant is not dependent on anything. Nothing can cause change to that variable, so it would be your X. The height that your plant has grown DOES depend on how long you've grown it, so the amount of weeks, making it your Y variable.
Answer:
The confidence interval is (24116.3878,24883.6122).
Step-by-step explanation:
We are given the following information in the question:
Population mean,
= $23,500
Sample mean,
= $24,500
Sample standard deviation,s = $2,800
Sample size, n = 146
Confidence interval:
Putting the values, we get,
The confidence interval is (24116.3878,24883.6122).
Answer:
Step-by-step explanation:
The only graph shown in the question doesn't have amplitude 1/2. look for a graph of a periodic wave function that has maximum y-value 1/2 (0.5) and minimum y-value 1/2 (0.5), or if it is not oscillating around the x-axis, verifies that the distance between minimum y-value and maximum y-value is "1" (one). This is because the amplitude is half of the peak-to-peak distance.
Look at the attached image as example.
Answer:
6 1/3
Step-by-step explanation:
3 times what equals 19 can be in the form of an equation as shown below. It shows that the value we are finding for is unknown, therefore it is a variable. A variable is the unknown value in an equation.
Equation: 3x = 19
With the equation in hand, we can now solve the problem easily.
3x = 19
Carry the 3 to the 19(Carry over the like terms across leaving the variable or the unknown)
x = 19÷3
x = 6.33333 or 6 1/3
To check if the answer was correct:
3 × 6 1/3 = 19
You regain the answer <em>19</em>