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Mrrafil [7]
3 years ago
15

Evaluate the series 9 + 3 + 1 +

Mathematics
1 answer:
ryzh [129]3 years ago
8 0

Answer:

9 + 3 + 1 + ......... = 13.5

Step-by-step explanation:

The series 9 + 3 + 1 +  is the sum of an infinite geometric sequence. The first term of the series is 9 while the common ratio is 1/3;

to obtain the common ratio we obtain the quotient of any two successive terms, 3/9 or 1/3.

The sum of an infinite geometric series with first term a and common ratio r is given by;

S_{n}=\frac{a}{1-r}

Plug in the values of a and r into the formula;

S_{n}=\frac{9}{1-\frac{1}{3} }\\\\\\S_{n}=\frac{27}{2}=13.5

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What is the graph of the linear inequality y≤−3x+4?
tatiyna

Answer:

It would look like the picture I attached at the bottom.

Step-by-step explanation:

We know that the slope is -3 and the y intercept is (0,4) (plugging in 0 for x will get you that point), and then you can just graph an equation like you normally would, using rise/run to go down 3 units for every one unit you go right, and plugging in easy x values to check your work.

It gets a little tricky because the question then adds the inequality, and we see that y is now less than <em>or equal to </em>the original equation.

Since it is less than, we can shade all the values below the graph.

(Also, you should probably note for future reference that if it was just less than, the shading would look the same while the graph itself would be dotted because the values on the line are nor included in the solution set).

Desmos is a great website to use if you're having trouble graphing in the future :)

5 0
3 years ago
I would like to know the right answer of this graph.
jeka94

Answer:

(6,-4)

Step-by-step explanation:

P(-2,2)

-2 - 4 = 6

2 - 6 = -4

4 0
2 years ago
Will give brainliest answer
ICE Princess25 [194]
The correct answer here is A

Explain

Because ABD to triangle FED using rotation at 180 degree
4 0
3 years ago
The surface area of a rectangular prism that has height of 4 inches, width of 9 inches and length of 3 inches = ____________ in2
nevsk [136]

Answer:

150

Step-by-step explanation:

S.A.=2(wl+hl+hw)=

2((3x9)+(4x3)+(4x9))

2(27+12+36)

2(75)

150

8 0
2 years ago
Read 2 more answers
A large pizza has a circumference of approximately 43.96 inches2. what is the diameter of the pizza? Use 3.14 to approximate Pi.
Nookie1986 [14]

Answer:

d = 14

43.96/3.14 = 14

8 0
3 years ago
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