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Molodets [167]
2 years ago
10

Which equation is equivalent to (1/3)^x = 27^x+2

Mathematics
1 answer:
Sergio039 [100]2 years ago
8 0

Answer:

x = -3/2

Step-by-step explanation:

3^{-1}  ^{x} = 3^{3}  ^{(x+2)}

3^({-x-6)} = 3^{3x

-x-6 = 3x

-6 = 4x

x = -6/4

c = -3/2

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the radius of a circular Frisbee is 9.8 cm. Using rounding to the nearest whole number, what is an estimate for the circumferenc
dimulka [17.4K]

Answer:

60 cm

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
If Logan's family can drive 23 1/8 miles on 1 gallon of gas,how far can they drive on 17 gallons
guapka [62]

\bf \begin{array}{ccll} miles&\stackrel{gas}{gallons}\\ \cline{1-2}\\ 23\frac{1}{8}&1\\\\ x&17 \end{array}\implies \cfrac{23\frac{1}{8}}{x}=\cfrac{1}{17}\implies \cfrac{\frac{23\cdot 8+1}{8}}{x}=\cfrac{1}{17}\implies \cfrac{\frac{185}{8}}{x}=\cfrac{1}{17} \\\\\\ \cfrac{\frac{185}{8}}{\frac{x}{1}}=\cfrac{1}{17}\implies \cfrac{185}{8}\cdot \cfrac{1}{x}=\cfrac{1}{17}\implies \cfrac{185}{8x}=\cfrac{1}{17} \\\\\\ 3145=8x\implies \cfrac{3145}{8}=x\implies 393\frac{1}{8}=x

4 0
2 years ago
What is the y-intercept of a line that has a slope of 1/4, and passes through point (8, 3)?
Valentin [98]

Answer:

5

Step-by-step explanation:

4 0
3 years ago
-2 3/4 ÷ -1/7= <br>help​
Hitman42 [59]

The answer is 19\frac{1}{4}

First you must set up the equation

-2\frac{3}{4}÷-\frac{1}{7}

First, you must make the mixed number a improper fraction

-\frac{11}{4}÷-\frac{1}{7}

Then you must divide

\frac{77}{4}

Finally, simplify

19\frac{1}{4}

3 0
3 years ago
Percentage grade averages were taken across all disciplines at a particular university, and the mean average was found to be 83.
Georgia [21]
Correct Ans:
Option A. 0.0100

Solution:
We are to find the probability that the class average for 10 selected classes is greater than 90. This involves the utilization of standard normal distribution.

First step will be to convert the given score into z score for given mean, standard deviation and sample size and then use that z score to find the said probability. So converting the value to z score:

z-score= \frac{90-83.6}{ \frac{8.7}{ \sqrt{10} } } \\  \\ &#10;z-score =2.326

So, 90 converted to  z score for given data is 2.326. Now using the z-table we are to find the probability of z score to be greater than 2.326. The probability comes out to be 0.01.

Therefore, there is a 0.01 probability of the class average to be greater than 90 for the 10 classes.
5 0
3 years ago
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