MATHEMATICS HIGH SCHOOL

Identify the set as finite or infinite. {1,1/4 ,1/16 ,1/64 , . . .}A. Finite
B. Infinite

Can someone explain this one for me?

Answers

Answer 1
Answer: 1;\ (1)/(4);\ (1)/(16);\ (1)/(64);...\n\na_1=(1)/(4^(1-1))=(1)/(4^0)=(1)/(1)=1\n\na_2=(1)/(4^(2-1))=(1)/(4^1)=(1)/(4)\n\na_3=(1)/(4^(3-1))=(1)/(4^2)=(1)/(16)\n\na_4=(1)/(4^(4-1))=(1)/(4^3)=(1)/(64)\n\vdots\na_n=(1)/(4^(n-1))

\lim\limits_(n\to\infty)(1)/(4^(n-1))=\lim\limits_(n\to\infty)(1)/(4^n\cdot4^(-1))=\lim\limits_(n\to\infty)(1)/(4^n\cdot(1)/(4))=\lim\limits_(n\to\infty)(4)/(4^n)=0\n\n\nAnswer:A
Answer 2
Answer: Finite because the decimals end. If it was 1/3 then it would be infinite because the decimals would go on foreber

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In the diagram below, the top of each stair is parallel to the floor. What is the value of y?(Picture below.)

Answers

25°
as the stair is // to floor
we can use alternate angle

PLSSSS HELP IF YOU TRULY KNOW THISS

Answers

Answer: Use PEMDAS. 11^2 (11 times 11) = 121.

2^2 (2 times 2) = 4

121 x 4 = 484

Step-by-step explanation:

Using the Pemdas method, you can solve the equation.

Use long division or synthetic division to find the quotient of

Answers

Answer:

2x^2-x+1

Step-by-step explanation:

Answer:

2x² - x + 1

Step-by-step explanation:

((2x^(2)-x+1)(x+1))/((x+1)) = 2x^(2)-x+1

Samantha builds one birdhouse in 6 3/8 hours. How many hours does it take to build 4 birdhouses?

Answers

6 and 3/4 times 4....

6 times 4 is 24

4 times 3 is 12, so 12 over 4 is equal to 3

And 24 plus 3 is 27, so 27 hours is what i believe the answer shoudl be

Perform each of the following conversions, making sure to use the correct abbreviations for units? A) 7.000 cubic centimeters to kiloliters B) 80. cm2 to inches2

Answers

A) To convert 7.000 cubic centimeters to kiloliters:

7.000 cm^3 * (1 kL / 1,000,000 cm^3) = 0.000007 kL

B) To convert 80. cm^2 to square inches:

80. cm^2 * (1 in^2 / 6.4516 cm^2) ≈ 12.44 in^2

The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 less than the original. Find the original number.

Answers

I did another one just like this about an hour ago.  I did it the elegant, tedious way,
and it took about 2 feet of screen.  Then I realized there was a totally bourgeois but
easy way to do it.  For 5 points, I'll give you the method for the masses:

List all the possible pairs of digits that add up to 9, along with their flips:

18 . . . . . 81
27 . . . . . 72
36 . . . . . 63
45 . . . . . 54

Do you see any pair that are different by 27 ?
How about 36 and 63 ?

So the original number is 63, and when you flip it, it becomes 36, which is 27 less.
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