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MA_775_DIABLO [31]
3 years ago
14

Find the first five terms of each geometric sequence described A1=1 R=4

Mathematics
1 answer:
xenn [34]3 years ago
3 0
\bf n^{th}\textit{ term of a geometric sequence}
\\\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
r=\textit{common ratio}\\
a_1=\textit{first term}\\
-------\\
a_1=1\\
r=4
\end{cases}\\\\
-----------------------------\\\\


\bf \begin{array}{ccllll}
term&value\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
1&a_1=1\\
2&a_2=a_1\cdot 4^{2-1}\\
3&a_3=a_1\cdot 4^{3-1}\\
4&a_4=a_1\cdot 4^{4-1}\\
5&a_5=a_1\cdot 4^{5-1}\\
\end{array}
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The graph shows the height of a hiker above sea level.
dimaraw [331]

The <u>correct answer</u> is:


B) The variables are height and time. For the first part of the graph, the height is increasing slowly, which means the hiker is walking up a gentle slope. Flat parts of the graph show where the elevation does not change, which means the trail is flat here. The steep part at the end of the graph shows that the hiker is descending a steep incline.


Explanation:


The variables are marked on the graph. Time is marked along the x-axis, which means it is the independent variable. Height is marked along the y-axis, which means it is the dependent variable.


The first part of the graph rises slowly. This means the elevation does not change much over the time; this would be consistent with a gentle slope being climbed.


The flat areas are where the elevation does not change. This would be consistent with the hiker resting.


The steep decrease at the end shows that the elevation goes down quickly. This is consistent with the hiker climbing down a steep slope.

3 0
3 years ago
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I how to solve this problem
Mrac [35]
Look at the picture.<span>
</span>

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What is the mode of the following data set
natima [27]
The mode is 3. Mode- the number that appears the most. 3 appears the most out of the set of numbers
8 0
2 years ago
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A variable is normally distributed with mean 6 and standard 2 deviation .
Tju [1.3M]

The normal distribution is also known as the Gaussian distribution. The percentage of all possible values of the variable that are less than 4 is 15.87%.

<h3>What is a normal distribution?</h3>

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

A.) The percentage of all possible values of the variable that lie between 5 and 9.

P(5<X<9) = P(X<9) - P(5<X)

               = P(z<1.5) - P(-0.5<z)

               = 0.9332 - 0.3085

               = 0.6247

               = 62.47%

B.) The percentage of all possible values of the variable that exceed 1.

P(X>1) = 1 - P(X<-2.5)

          = 1-0.0062

          = 0.9938

          = 99.38%

C.) The percentage of all possible values of the variable that are less than 4.

P(X<4) = P(X <4)

           = P(z<-1)
           = 0.1587

           = 15.87%

Learn more about Normal Distribution:

brainly.com/question/15103234

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8 0
1 year ago
Can someone please do this for me
Natasha_Volkova [10]
Next time please indicate which problem you want to work on.

One example of an equation with variables present on both sides is

y-b = m(x-a).  Given the slope of a line and one point (a,b) through which the line passes, you can come up with an equation of the line.

Or, given the numeric value of y-b and that of x-a, you could obtain the slope of the line thru the points (x,y) and (a,b).
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