Answer:
8
Step-by-step explanation:
= 
We make the denominator the same by multiplying
by 4.
= 
Thus, x = 8.
Answer: This coil will not be enough to complete the job.
Step-by-step explanation:
The circumference of the coil of wiring can be calculated with:

Where r is the radius and 
The radius can be calculated by dividing the diameter by 2. Then:

Convert 9 inches to yards (1 yard=36 inches):

Substitute this radius into the formula:

Since there are 21 circles of wire, you need to multiply
by 21:

The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough to complete the job.
<span>Answer:
The cylinder has equation y^2 + z^2 = 1 (with x in [0, 2]).
So, we can write the volume â«â«â« 1 dV as
â«(x = 0 to 2) â«(z = -1 to 1) â«(y = -âš(1 - z^2) to âš(1 - z^2)) 1 dy dz dx.</span>
Answer:4h term: -10x+24, 5th term: -14x+31, 6th term: -18x+ 38
Step-by-step explanation:
1. 5+6>8
6+8> 5
5+8> 6
2. 10+10> 2
10+2> 10
10+2> 10
3. 19+ 34> 15
19+ 15 > 34 not correct
34+15 > 19
4. 3+16 > 14
3+14> 16
14+16 >3
Answer is 3 <33