Answer:
2 2/3 or 8/3
Step-by-step explanation:
Step by step I am guessing? (Is that what each question is for?)
STEP 1
First we have to find 1/3 of 23:
23/3= 1/3 of 23
Then:
5/1 = 15/3
STEP 2
Subtract:
23-15= 8/3
8/3 or 2 2/3
The expressions are irrational 1/3 + √216 and √64+ √353 and the expressions √100 × √100, 13.5 + √81, √9 + √729, and 1/5 + 2.5 are rational number.
<h3>What is a rational number?</h3>
If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
1. √100 × √100
→ √100 × √100
→ 10 × 10 = 100
This is a rational number.
2. 13.5 + √81
→ 13.5 + √81
→ 13.5 + 9 = 22.5
This is a rational number.
3. √9 + √729
→ √9 + √729
→ 3 + 27 = 30
This is a rational number.
4. √64+ √353
→ √64 + √353
→ 8 + √353
This is an irrational number.
5. 1/3 + √216
→ 1/3 + √216
→ 1/3 + √216
This is an irrational number.
6. 1/5 + 2.5
→ 1/5 + 2.5
→ 0.2 + 2.5 = 2.7
This is a rational number.
More about the rational number link is given below.
brainly.com/question/9466779
28 / 4 will get the unit rate for dress shirts but you have to tell the costs of the pairs of pants
Answer:
a) Find the common ratio of this sequence.
Answer: -0.82
b) Find the sum to infinity of this sequence.
Answer: 2.2
Step-by-step explanation:
nth term in geometric series is given by ![4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82](https://tex.z-dn.net/?f=4%5C%20th%20%5C%20term%20%3D%20ar%5En-1%5C%5C-2.196%20%3D%204r%5E%7B4-1%7D%20%5C%5C-2.196%2F4%20%3D%20r%5E%7B3%7D%20%5C%5Cr%20%3D%20%5Csqrt%5B3%5D%7B0.549%7D%20%5C%5Cr%20%3D%200.82)
where
a is the first term
r is the common ratio and
n is the nth term
_________________________________
given
a = 4
4th term = -2.196
let
common ratio of this sequence. be r
![4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82](https://tex.z-dn.net/?f=4%5C%20th%20%5C%20term%20%3D%20ar%5En-1%5C%5C-2.196%20%3D%204r%5E%7B4-1%7D%20%5C%5C-2.196%2F4%20%3D%20r%5E%7B3%7D%20%5C%5Cr%20%3D%20%5Csqrt%5B3%5D%7B-0.549%7D%20%5C%5Cr%20%3D%20-0.82)
a) Find the common ratio of this sequence.
answer: -0.82
sum of infinity of geometric sequence is given by = a/(1-r)
thus,
sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2
