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Sphinxa [80]
3 years ago
8

What is the equation 6^2=36 in logarithmic

Mathematics
1 answer:
liq [111]3 years ago
7 0

log_{6}(36)  = 2
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What is the average rate of change of f(x), represented by the graph, over the interval [-2, 2]?
Molodets [167]
To get the average rate of change (ARC) of f(x) over [x1, x2], we use the formula:
ARC = ( f(x2) - f(x2) ) / (x2 - x1)

From the graph
f(2) = 4
f(-2) = 4

Plugging in the values into the formula:
ARC = (4 - 4) / (2 - (-2) )
ARC = 0

The points connecting (-2,4) amd (2,4) is a horizontal line that is the rate of change is 0.
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3 years ago
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Find the sample standard deviation of the following data set, using the statistical functions on your calculator.0.2315 0.4725 0
Nonamiya [84]

Answer:

Option C) 0.2358

Step-by-step explanation:

We are given the following data set:

0.23105, 0.4725, 0.8765, 0.4865, 0.5326, 0.7976

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{3.39675}{6} = 0.566125

Sum of squares of differences = 0.1122752556 + 0.008765640625 + 0.09633264063 + 0.006340140625 + 0.001123925625 + 0.05358067562 = 0.2784182787

S.D = \sqrt{\frac{0.2784182787}{5}} = 0.2358

Thus, the standard deviation for given data is

Option C) 0.2358

7 0
3 years ago
4 times x with an exponent of 2 plus 2 times y with an exponent of 4. X=-3 y=2
Digiron [165]

Answer:

Step-by-step explanation:

Your equation is: 4*x^{2} +2 * y^{4}

You also know that x = -3 and y = 2. You can rewrite the equation by substituting x and y with their actual values:

4*(-3)^{2} +2 * 2^{4}

First, you want to do the exponentiation (meaning you want to calculate (-3)^{2} and 2^{4} parts). (-3)^{2} equals 9 and 2^{4} equals 16.

So the equation now is:

4*9+2*16

Now you want to do multiplication. 4*9 equals 36 and 2*16 equals 32. So you're left with:

36+32

Which equals 68.

8 0
3 years ago
If the radius of a circle is 111, what is the diameter?
yan [13]

Answer:

d=222

Step-by-step explanation:

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Brielle spent $4.90 for 3 1/2 pounds of ham. What is the cost per pound?
MrMuchimi

Answer:$1.4

Step-by-step explanation:4.90 / 3.5 = 1.4   Hope tis helps :)

7 0
3 years ago
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