Answer:
x=11
Step-by-step explanation:
Vertical angles are congruent, so m∠A = m∠B.
4x+8 = 5x-3
Subtract 5x from both sides.
-1x+8=-3
Subtract 8 from both sides to isolate the variable.
-1x=-11
Divide both sides by -1 to solve for x.
x=11
Plug in 11 for x into m∠A=(4x+8)=(4(11)+8)=(44+8)=52.
Answer:
A function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is
and the work to get the bucket to the top of the cliff is 3726 foot-lbs
Step-by-step explanation:
Work done to lift the rope by distance x feet:

Work done to lift the bucket by distance x feet:

On reaching top 7 gallons of water spilled out so , on going up by x feet
gallons of water spilled out.
a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground:

Now the work to get the bucket to the top of the cliff i.e. x =35

W=3726
Hence, a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is
and the work to get the bucket to the top of the cliff is 3726 foot-lbs
Answer:
Per hour decay of the isotope is 0.96%.
Step-by-step explanation:
Amount of radioactive element remaining after t hours is represented by

where a = initial amount
t = duration of decay (in hours)
Amount remaining after 1 hour will be,

y = 0.9904a
So amount of decay in one hour = a - 0.9904a
= 0.0096a gms
Percentage decay every hour = 
= 
= 0.958 %
≈ 0.96 %
Therefore, per hour decay of the radioactive isotope is 0.96%.
Step-by-step explanation:
the domain is all numbers
Answer:
p(not 5) = 5/6
Step-by-step explanation:
The probability that we roll a 5 is 1/6. So, the probability we don't roll a five is simple 1 minus that:

And that's your answer.