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Nady [450]
3 years ago
13

What is the sum of the infinite geometric series? -3-3/2-3/4-3/8-3/16-....

Mathematics
2 answers:
Natali5045456 [20]3 years ago
6 0

Answer:

- 6

Step-by-step explanation:

The sum to infinity of a geometric series is calculated as

S( infinity ) = \frac{a}{1-r}

where a is the first term and r the common ratio

Here a = - 3 and r = - \frac{3}{2} ÷ - 3 = \frac{1}{2}, thus

S( infinity ) = \frac{-3}{1-\frac{1}{2} } = \frac{-3}{\frac{1}{2} } = - 6

larisa86 [58]3 years ago
3 0

Answer:

s infinite =-6

Step-by-step explanation:

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Consider the set whose elements are the graphs having vertex set {1, 2, 3, 4}, and consider the relation on that set, where two
Damm [24]

Answer:

7

Step-by-step explanation:

Let S be the set of all graphs having vertex set  \{1,2,3,4\}. The relation \rho is defined over S such that

the graphs G and H are equivalent provided that they have same number of edges. Then, the number of equivalence classes depends on how many edges can be there in the vertex set \{1,2,3,4\} .

The number of edges is 0 forms a disconnected graph which makes an equivalent class.

The graphs of 1 edge makes an equivalent class.

The graphs of 2 edges makes an equivalent class.

The graphs of 3 edges makes an equivalent class.

The graphs of 4 edges makes an equivalent class.

The graphs of 5 edges makes an equivalent class.

In similar way, the only graph of 6 edges is complete graph which forms another equivalent class.

Hence,the total number of equivalent classes is 7.

8 0
3 years ago
Use any method to solve the equation. If necessary, round to the nearest hundredth. PLEASE HELP SOON!!!
masha68 [24]
We have that
x²<span> + x − 30 = 0 

using a graph tool
see the attached figure

the solution is
x=-6
x=5

the answer is the option
</span><span>b. 5, –6</span>

8 0
3 years ago
I need help with this (don't answer if you don't know)
SashulF [63]

Answer:

Step-by-step explanation:

Here's a step by step tutorial on your calculator on how to do this.  

Hit "stat" then "1: Edit".  If there are numbers there, arrow up to highlight L1, or L2, or wherever there are numbers.  Hit "clear" then "enter" and the numbers will be gone.  In L1, enter the Practice throws values.  Press 3 then enter, then 12 then enter, then 6 then enter, etc. til all of them are in L1's column.  Then arrow over to L2 and do the same with entering all the Free Throw values.

When you're done, hit "stat" again, then arrow over once to "calc" and #4 should say LinReg.  That's a linear regression equation.  If you have a TI 83, just hit enter and you'll get the equation in the form y = mx + b.  If you have a TI 84 or 84+, you'll need to arrow down to the word "calculate" and then you'll see the equation.

One thing...if you have not turned your diagnostics on, you wont be able to see the coefficient of determination (the r-squared value).  To make sure it's on:

Hit 2nd, then 0.  You have opened up the catalog which lists every single thing your calculator can do in alphabetical order.  The hit the button UNDER the MATH button (x to the negative 1) and scroll down until you see "diagnosticsON" and hit enter twice.

If you need to recall the linear regression equation, hit "stat", then "calc" then either enter or calculate and you'll get the linear equation again and an r value and an r-squared value.  The closer that number is to 1, the better the data fits that model.  I got that the equation is

y = 2.352x - .852 with an r-squared value of .844

To get the quadratic regression equation, hit "stat" then "calc" then choose #5, QuadReg.  Repeat the process to calculate your equation.  Mine was

y=.073x^2+1.205x+2.555; r^2=.855

And for the exponential regression, choose ExpReg (mine is under 0.  Yours may be some other number.  Just arrow down til you find it, it's there!) My ExpReg equation was

y=4.229(1.170)^x; r^2=.833

It appears that the r-squared value is the highest in the quadratic regression equation, so that's the best fit.

4 0
3 years ago
the sum of six interior angles of a regular octagon is 800 the other two angles are equal find the size of each angle​
frosja888 [35]

An octagon is a polygon with 8 sides and angles. The two equal angles are 140 degrees each

<h3>How to calculate the sum of an interior angle of a polygon?</h3>

An octagon is a polygon with 8 sides and angles

The formula for calculating the sum of interior angle of a regular polygon is expressed as:

S = (n-2) * 180

If the sum of six interior angles of a regular octagon is 800 the other two angles are equal, then;

800 + 2x = (8-2)*180

800 + 2x = 1080
2x = 1080 - 800
2x = 280
x = 140

The two equal angles are 140 degrees each

Learn more on interior angles here: brainly.com/question/24966296

4 0
2 years ago
A computer uses 1/200 second of a secount to finish a math problem . How many math questions can the computer solve in 2 minutes
aniked [119]

Answer: The computer can solve 24,000 math problems in 2 minutes.

Step-by-step explanation:

1.) Multiply 1 * 200, in order to get the amount of problems solved in a second, which would be 200.

2.) Multiply 200 * 60 to get the amount of problems solved in a minute, which would be 12,000.

3.) Multiply 12,000 * 2 in order to get the amount of problems solved in 2 minutes, which would be 24,000.

4 0
3 years ago
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