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creativ13 [48]
3 years ago
12

Which is equivalent to

ula1" title="\sqrt[4]{9} ^{\frac{1}{2}x }" alt="\sqrt[4]{9} ^{\frac{1}{2}x }" align="absmiddle" class="latex-formula">
A: 9^{2x}
B:9^{\frac{1}{8}x }
C:\sqrt{9}^{x}
D:\sqrt[6]{9}  ^{x}



ANSWER IS B: :9^{\frac{1}{8}x }
Mathematics
1 answer:
Digiron [165]3 years ago
5 0

For this case we have that by definition of properties of powers and roots, it is fulfilled that:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

So:

\sqrt [4] {9 ^ {\frac {1} {2} x}} = 9 ^ {\frac {\frac {1} {2}} {4} x} = 9 ^ {\frac {1} {8} x}

So, we have to:

\sqrt [4] {9 ^ {\frac {1} {2} x}} = 9 ^ {\frac {1} {8} x}

Answer:

9 ^ {\frac {1} {8} x}

Option B

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in 1954 and I still know how to use them.)

Look at the picture.  Line ' l ' is parallel to line ' m ', and the horizontal line on the bottom (which is not labeled) is a transversal that cuts the parallel lines.

Did you learn that interior angles on the same side of the transversal are equal ?
I'm sure you did, although it may have a new name nowadays.

Anyway, with the help of that 'tool', angle-'B' and angle-'D' are equal.  So . . .

(angle-A + angle-B) = 120

angle-B = 65

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3 years ago
Use the factorization to find the values of x for which p(x) = 0. (x – 1)(x 1)(x 5) = 0 x – 1 = 0, so x = x 1 = 0, so x = x 5 =
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Answer: (x – 1)(x + 1)(x + 5) = 0

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x + 5 = 0, so x = -5

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2 years ago
Differentiate: y=152+26−37 <br><br> dy/dx= answer
ozzi

Answer:

\frac{dy}{dx} y=0

General Formulas and Concepts:

<u>Calculus</u>

  • The derivative of a constant is equal to 0

Step-by-step explanation:

<u>Step 1: Define function</u>

y = 152 + 26 - 37

<u>Step 2: Simplify</u>

<em>Combine like terms</em>

y = 141

<u>Step 3: Find derivative</u>

<em>Derivative of any constant will be 0.</em>

<em />\frac{dy}{dx} y=0<em />

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A report on consumer financial literacy summarized data from a representative sample of 1,664 adult Americans. Based on data fro
daser333 [38]

Answer:

a. The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.

b. Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Sample of 1,664 adult Americans, 939 people in the sample would have given themselves a grade of A or B in personal finance.

This means that n = 1664, \pi = \frac{939}{1664} = 0.5643

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 - 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.54

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 + 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.588

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(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B?

Yes, because the confidence interval is entirely above 0.5.

Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

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