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krok68 [10]
3 years ago
15

6. Write in exponential form: log(3)81 = 4

Mathematics
1 answer:
earnstyle [38]3 years ago
4 0

Answer:

81 =  {3}^{4}

Step-by-step explanation:

log_{3}(81)  = 4 \\  \\ 81 =  {3}^{4}

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3x-6y=6 in function notation
JulijaS [17]
Subtract 3x from both sides:

-6y = -3x + 6

divide both sides by -6 to get y by itself:

y = 1/2x - 1

function notation is rewriting y as a function:

f(x) = 1/2x -1
3 0
3 years ago
A student repeatedly measures the mass of an object using a mechanical balance and gets the following values: 560 g, 562 g, 556
MrRissso [65]

Answer: 2.76 g

Step-by-step explanation:

The formula to find the standard deviation:-

\sigma=\sqrt{\dfrac{\sum(x_i-\overline{x})^2}{n}}

The given data values : 560 g, 562 g, 556 g, 558 g, 560 g, 556 g, 559 g, 561 g, 565 g, 563 g.

Then,  \overline{x}=\dfrac{\sum_{i=1}^{10} x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{560+562+556+558+560+556+559+561+565+563}{10}\\\\\Rightarrow\ \overline{x}=\dfrac{5600}{10}=560

Now, \sum_{i=1}^{10}(x_i-\overline{x})^2=0^2+2^2+(-4)^2+(-2)^2+0^2+(-4)^2+(-1)^2+1^2+5^2+3^2\\\\\Rightarrow\ \sum_{i=1}^{10}(x_i-\overline{x})^2=76

Then, \sigma=\sqrt{\dfrac{76}{10}}=\sqrt{7.6}=2.76

Hence, the  standard deviation of his measurements = 2.76 g

6 0
3 years ago
Three hikers equally share 1/2 gallon of water. Explain how you would use an area model to find the amount of water each hiker d
zlopas [31]

Answer:

1/6

Step-by-step explanation:

1/2 ÷ 3                 equation

1/2 ÷3/1                  flip

1/2 x 1/3                multiply

1/6                          Answer


8 0
3 years ago
Read 2 more answers
How do I do this I don’t get it
masya89 [10]

Answer: The answer would be 17/10.

Step-by-step explanation: You would divide Marvin's miles by Nathan's miles to find your answer.

8 0
3 years ago
The diagram shows the diffrence between my home h and two towns
katrin2010 [14]

Answer:

  • from home to town A :

V = D/t = 10 / 20 = 0.5 mile per min

  • from home to town B :

V = D/t = 20/30 = (2/3) mile per min

  • From town A to town B :

V = D/t = (10+20)/ 50 = (3/5) mile per min

6 0
3 years ago
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