Answer:
Go check out math papa, it gives you the answers there
Step-by-step explanation:
Answer:
the fourth option
9, 30, 93, 282, 849
Step-by-step explanation:
a1 = 9
based on the sequence definition
a2 = 3×a1 + 3 = 3×9 + 3 = 27 + 3 = 30
the only answer option with a2=30 is the fourth one. all others must be therefore wrong.
check
a3 = 3×a2 + 3 = 3×30 + 3 = 93
a4 = 3×a3 + 3 = 3×93 + 3 = 282
a5 = 3×a4 + 3 = 3×282 + 3 = 849
confirmed.
Answer:
138.23 feet
Step-by-step explanation:
The minutes and seconds hands of a clock rotates in a circular manner no matter the shape of the clock. Therefore the distance covered by the minute hand of the clock is calculated by the circumference of a circle:
C = 2πr
C = 2 *
* 22
C = 138.23 feet
Given: Sound Intensity ( I ) = 
We know, the approximate threshold of human hearing is at 1kHz. In watts/m^2 it's value is
⁻¹² W/m².
So, we can say, Reference sound intensity
= 10⁻¹² W/m².
We have formula for "sound intensity level LI in dB" when entering sound intensity.
LI = 10×log (I / Io) in dB
Plugging values of I and Io in formula.
LI = 10 × log (
)
LI = 10 × log (99000000)
= 10 × 7.99564
LI = 79.96 dB.
Therefore, 79.96 dB is the sound level for a noise that has an intensity of 9.9 × 10-5 watts/m2.
The answerer is combining terms in x with constants
that is, 13x + 5 ≠ 18x
13x + 5 + 17x - 4.5 + x
= (13x + 17x + x ) + 5 - 4.5 ← collecting like terms
= 31x + 0.5 ← correct simplification