1. The answer is 16^2, so B.
16 x 16 = 256
2. The answer is 17, so B.
Some of the factor of 68 are: 1, 2, 4, 17, 34 and 68.
3. The answer is 15, so B.
Only 15 is composite since it contains more than a factor, which are 3 and 5. The rest of the numbers are prime since they only contain a factor.
4. The answer is 2^2^3^7, so B.
The factor tree:
84
2 x 42
2 x 2 x 21
2 x 2 x 3 x 7
Hope this helps! :)
Answer:
f(8) = 65
Step-by-step explanation:
Find a pattern in the sequence. It might be an <u>arithmetic sequence</u> (always adds or subtract by a certain number), or a <u>geometric sequence</u> (always multiplies or divides by a certain number).
To find a pattern in this decreasing sequence, we find either the common difference or the common divisor of each pair of consecutive numbers.
• 100 - 95 = 5
• 95 - 90 = 5
• 90 - 85 = 5
• 85 - 80 = 5
• 80 - 75 = 5
Now, we know that this is an <u>arithmetic sequence</u>, and the common difference is <u>5</u>.
To calculate f(8), we find the 8th term in the sequence. We can do that by counting the terms in the sequence and using the common difference, 5, that we found, to continue the sequence.
• f(1) = 100
• f(2) = 95
• f(3) = 90
......
• f(7) = 70
• f(8) = 65
Answer:
Step-by-step explanation:
<u>Question 7</u>
Angle formed by 2 chords is half of the sum of the intercepted arcs
- x = 1/2(72° + 58°) = 1/2(130°) = 65°
<u>Question 8</u>
Angle formed by 2 secants is half of the difference of the intercepted arcs
- x = 1/2(360° - (130° + 98° + 41°) - 41°) = 1/2(50°) = 25°
Answer:
15x-8
Step-by-step explanation:
9x-12+4x+4+10x
9x+4x+10x -12+4
15x-8
The first one is greater than the second one