How many integers are between 100 and 10000 in the records of which there are exactly three identical digits?

Mathematics

1 answer:

andre [41]3 years ago

4 0

Answer:

I am guessing 333 for this question ok

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The sides of a square are 2^4/9 inches long. what is the area of the square?

andrey2020 [161]

The area of a square is the length of a side times itself:
2_4/9 * 2_4/9
Mixed numbers cannot be multiplied, so first convert to improper fractions:
(9*2)+4 = 18+4 = 22/9
22/9 * 22/9
Multiply straight across:
(22*22)/(9*9) = 484/81
Now turn this into a mixed number:
81 goes into 484 five times with 79 left over:
5_79/81 square inches
Since this is not one of the answer choices, I'm wondering if the given length of the side of the square is incorrect?

5 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

DochEvi [55]

Answer: $\bold{a_1=\dfrac{1}{2}\qquad a_n=\bigg(\dfrac{4}{3}\bigg)a_{n-1}}$

<u>Step-by-step explanation:</u>

The explicit rule for a geometric sequence is: $a_n=a_1(r)^{n-1}\quad \text{where}\ a_1\ \text{is the first term and r is the common ratio}$

$\text{From the explicit rule provided:}\ a_n=\dfrac{1}{2}\bigg(\dfrac{4}{3}\bigg)^{n-1}}\\ \text{we know that}\ a_1=\dfrac{1}{2}\ \text{and r =} \dfrac{4}{3}$