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iris [78.8K]
3 years ago
14

What is the value of the geometric sequence for which a1=10 and r=0.5?

Mathematics
1 answer:
tiny-mole [99]3 years ago
3 0
The formula for an infinite geometric sequence is the following:

S_{∞}= \frac{a_{1}}{1-r}

Just substitute the values of a_{1} and r into the formula.

S_{∞}=\frac{10}{1-0.5}
S_{∞}=\frac{10}{0.5}
S_{∞}= 20

Therefore, the answer is 20.
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A college finds that 38% of the students taking a foreign language are enrolled in Spanish. If 988 students are taking Spanish,
Degger [83]
There are 2,600 foreign language students.
4 0
3 years ago
Please help I will give brainliest to whoever answers this question
pantera1 [17]

Hi!

To solve this, we must make an equation in y = mx + b form, where m is the slope and b is the y-intercept.

Since we are looking at a graph with points, it saves us a TON of work, and all we have to do is simply look at the graph. We only need to find m and b, that's it!

M is the slope, and the slope can be represented by the change between points on a line, also known as <em>rise/run. </em>

If we start at point (-4, -1), and go to point (-2, 0), we can see that it goes up 1 and right 2, which would be represented as 1/2.

B is the y-intercept, and that is simply the point that is on the y-axis, which is the point (0, 1), so our number would be 1.

Therefore, plugging these numbers into the equation, our equation is y = <em>1/2</em>x + <em>1</em>

<em></em>

Hope this helps! :D

6 0
2 years ago
The digits of a two-digit number sum to 8. When the digits are reversed the resulting number is 18 less than the original
egoroff_w [7]

Answer:

53

Step-by-step explanation:

5+3=8, 53 flipped is 35, and 53-35=18

6 0
3 years ago
Read 2 more answers
Which description best compares the graphs given by the equations:
nexus9112 [7]

x - 5y = -5, -5x - 25y = 25

First, you'll need to get the x variable by itself.

x - 5y = -5<u>
</u><u>    +5    +5</u><u>
</u>       x = 0
So x is plotted on the 0.

For the second part of the first equation, you'll be looking for what the y variable represents.

x - 5y = -5
<u>-x           -x</u><u>
</u>     <u>-5y</u> = <u>-5</u><u>
</u><u>       5      5</u><u>
</u>        y = 1
So y is plotted on the 1 on the vertical line above the 0.

For the first part of the second equation, you'll do the same thing as in the first equation.

-5x - 25y = 25
<u>        +25   +25</u><u>
</u>          <u>-5x</u> = <u>50</u><u>
</u>            5      5
            x = 10
So the x for this equation is plotted on 10 on the horizontal line.

For the second part of the second equation, you will do the same thing as in the first equation.

-5x - 25y = 25
<u>+5               +5</u><u>
</u>       <u>-25y</u> = <u>30</u><u>
</u>        25      25
           y = 1.2
So the y for the second half of the second question is plotted on 1.2 on the vertical line.

<h2>Answer: B) Perpendicular</h2>

Perpendicular means the lines may or may not be of equal length and they will not be perfectly in line with each other.

Parallel means the lines may or may not be of equal length but will be perfectly in line with each other.

Intersecting means the lines may or may not be of equal length but will touch each other.

6 0
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Inessa05 [86]

Answer: 12.30 dollars will be spent

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4 0
2 years ago
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