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Colt1911 [192]
2 years ago
10

Find the least common denominators of these two rational experssions -1/y and 2/5y

Mathematics
1 answer:
algol132 years ago
6 0
The least common denominator is 5y, and can be obtained by multiplying 
-1/y by 5/5 to get -5/5y. 

If we add the numbers using the least common denominator, we get:
-5/5y + 2/5y = -3/5y
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yawa3891 [41]

This is late, but for anyone searching the answer up in the future, the answer on Edg.enuity is the last one -  where the graph starts out as a horizontal line, then decreases and touches the x-axis, then increases again.

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4 0
2 years ago
Read 2 more answers
Michael earns $21 per hour and works 40 hours per week. How many overtime hours would he have to worky in a week for his time-an
Alex73 [517]

Answer:

27 hours

Step-by-step explanation:

The regular hours are paid normally, 21/hr hence working for 40 hours, Michael earns 40*21=$840

To work x hours paid overtime as 1.5 of the normal rate, the rate would be $21*1.5=$31.5/hr

X hours multiplied by rate of $31.5/hr should be at least equal to $840

31.5x>=840

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X is 27 hours

6 0
2 years ago
Captain Emily has a ship, the H.M.S Crimson Lynx. The ship is five furlongs from the dread pirate Umaima and her merciless band
LenaWriter [7]

Answer:

The probability that the pirate misses the captain's ship but the captain hits = 0.514

Step-by-step explanation:

Let A be the event that the captain hits the pirate ship

The probability of the captain hitting the pirate ship, P(A) = 3/5

Let B be the event that the pirate hits the captain's ship

The probability of the pirate hitting the captain's ship P(B) = 1/7

The probability of the pirate missing the captain's ship, P'(B) = 1 - P(B)

P'(B) = 1 - 1/7 = 6/7

The probability that the pirate misses the captain's ship but the captain hits = P(A) * P(B) = 3/5 * 6/7

= 0.514

5 0
2 years ago
In a test of a printed circuit board using a random test pattern, an array of 16 bits is equally likely to be 0 or 1. Assume the
Doss [256]

Answer:

A) b) and c) answer has been explained below.

Step-by-step explanation:

For the question would use 1's and 0's and taking probabilities to be equal for both using random test pattern whose formula is when p = q

then Simplify to

P[k] =  nCk /2^n

A.Probability that all bits are 1s

16c16/2^16 = 1/65536

B. Probability that all bits are 0s

16c0/2^16 = 1/65536

C.the probability that exactly 8 bits are 1s and 8 bits are 0s

16c8/2^16 = 12870/65536 =>0.1963 ≈ 19.63%

8 0
2 years ago
The bottom of a large theater screen is 3ft above your eye level and the top of the acreen is 10ft above your eye level. Assume
Anna71 [15]
As usual, draw a diagram. You can easily see that if you are x away from the wall, 

<span>the angle of elevation of the bottom of the screen (A) is </span>

<span>cotA = x/3 </span>
<span>A = arccot(x/3) </span>

<span>angle B to the top is </span>

<span>cotB = x/10 </span>
<span>B = arccot(x/10) </span>

<span>So, since θ = B-A </span>
<span>dθ/dt = dB/dt - dA/dt </span>
<span>= -3/(x^2+9) + 10/(x^2+100) </span>
<span>= 7(x^2-30)/((x^2+9)(x^2+100)) </span>

<span>so, at x=30 </span>
<span>dθ/dt = 203/30300</span>
5 0
2 years ago
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