Step-by-step explanation:
<u>Step 1: Factor by grouping</u>
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<u>Step 2: Solve for x</u>
![\sqrt[3]{x^3} = \sqrt[3]{-1}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E3%7D%20%3D%20%5Csqrt%5B3%5D%7B-1%7D)
Answer: 
Answer:
<em>It will occur zero times between midnight and one o'clock.</em>
Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.
All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.
List the prime factors of each number:
20: 2,2,5
15: 3,5
27: 3,3,3
Now multiply all the factors the maximum number of times they appear:
LCM=2*2*3*3*3*5=540
(a) All the events will happen together again after 540 minutes.
(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.
Answer:
19.96
Step-by-step explanation:
99 4/5 in decimal form is 99.80, divide that by 5. hope this helps! :D
Answer:
n=-3
Step-by-step explanation:
Answer:
2.91 units
Step-by-step explanation:
If and only if this is a right triangle, we can apply the some fimctopm to determine the length of side BD:
side BC
tan 20 degrees = ---------------
8
or side BC = 8 tan 20 degrees. Since tan 20 degrees = 0.364 radians,
side BC has length 8(0.364) = 2.91 units
