Find the correct sum of these geometric series..a1=343, an=-1, r= -1/7

a1=80, n=7, r= -1/2

*a1= 3, a8=384, r=2

Please help me with these problems.. :(

Answers

Answer 1

Answer: 1)
$a_(1)=343\n a_(r)=-1\nr=- (1)/(7) \na_(r)=a_(1)* q^(r-1) \n-1=343*q^(r-1)\n-1=343* -((1)/(7))^(r-1)\n-7^0=7^3*(- 7)^(-r+1)\n7^0=7^3*7^(-r+1)\nindexes: \n0=3-r+1\nn=4$
$S_r=a_1 (1-r^n)/(1-r)\nS_r=343* (1- (-(1)/(7) )^4)/(1- (-(1)/(7) ))\nS_r=343* (1- ((1)/(2401) ))/(1+ ((1)/(7) ))\nS_r=343* (((2400)/(2401) ))/(((8)/(7) ))\nS_r=343* (300)/(343) \nS_r=300$
2)
$S= a_(1)* (1- r^(2) )/(1-r)\n S=80*(1- ( -(1)/(2)) ^(2) )/(1+(1)/(2) )\nS=80* (1- (1)/(4) )/( (3)/(2) )=80* (3)/(4)* (2)/(3) =40$
3) we dont know how many numbers has this sequence

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At a store, ice cream cones cost $1.80 and sundaes cost $3.30. One day the receipts for a total of 148 cones and sundaes were $360.90. How many cones were sold? How many sundaes?

Answers

X= cones; y= sundaes

1.80x + 3.30y = 360.90 -------(i)

x + y = 148 -----------(ii)

from (ii) y= 148-x

1.80x + 3.30(148-x) = 360.9

1.80x + 488.4 + 3.30x = 360.9

1.5x = 127.5

x = 85 cones

Do all of the digits in 8.88 have the same value? and explain why.

Answers

No, all of the digits in 8.88 does not have the same place value.

In the number 8.88, each digit occupies a specific position that determines its place value.

From left to right:

1. The first digit "8" is in the ones place. Its place value is 8.

2. The second digit "8" is in the tenths place. Its place value is 0.8 (or 8/10).

3. The third digit "8" is in the hundredths place. Its place value is 0.08 (or 8/100).

Since all the digits are located after the decimal point, they are decimal digits. Therefore, in the number 8.88, all digits have the different place value as decimals.

Learn more about place value here

brainly.com/question/29297999

#SPJ3

Answer:

Step-by-step explanation:

Mitochondria is the powerhouse of the cell

Help ASAP pls :) brainly to whoever has the right answer first :D

Answers

Answer:

0.02 (rational)

2 (rational)

Square root of 2 (irrational)

Square root 1/2 (irrational)

Step-by-step explanation:

Rational numbers are numbers that can be in form of a/b such that a and b are not zeros. In other words, a and b are integers ranging from 1 to infinity.

Conversely, irrational numbers are numbers that are endless and are non repeating digits after decimal point.

Thus, from the questions above;

$0.02 = (2)/(100) = rational \: number$

$2 = (2)/(1) = rational \: number$

$√(2) = 1.41421356 = irrational \: number$

$\sqrt{ (1)/(2) } = 0.70710678 = irrational \: number$

Use the diagram to find the value of x

Answers

um can i see the diagram plz :)

What is the solution to the following expression if x=52x - 7

A. 105

B. 25

C. 18

D. 3

Answers

Actually it’s D. or 3

"From the graph of g, state the intervals on which g is continuous. Select all that apply.(-INFINITY, -4]
(-INFINITY, -4)
[-4,-2]
[-4,-2)
[-2,2]
(-2,2)
[2,4]
[2,4)
[4,6]
(4,6)
[6,8]
(6,8)
[8,INFINITY)
(8,INFINITY)"

Answers

Final answer:

Without seeing the graph, it's not possible to give specific intervals where the function g is continuous. However, based on interval notation, round brackets indicate the end points are not included, while square brackets show they are included. Therefore, the function is continuous where the graph does not have gaps, jumps or holes.

Explanation:

Without seeing the exact graph, it's impossible to accurately determine the intervals on which g is continuous. However, in general, a function is said to be continuous over an interval if the graph is unbroken over this interval, without any gaps, jumps, or holes. To determine this from the choices provided, generally you'll need to look at the graph and see where there is an uninterrupted line.

A key thing to note is how the intervals are represented. For instance, an interval like (-Infinity, -4] means that the function is continuous from negative infinity up to and including -4. The round bracket, '( )', means that the end points are not included in the interval, while the square brackets, '[ ]', indicate that they are included.