First, simplify the radicals
√125=√(5*5*5)=(√5*5)(√5)=5√5
so 3√125=3*5√5=15√5
and √16=4
so
15√(5)-4 is the simplified version
For this case the first thing you should do is find the volume of the sphere.
We have then:
V = (4/3) * (pi) * (r ^ 3)
Where,
r: sphere's radius
Substituting values we have:
V = (4/3) * (3.14) * ((3/2) ^ 3)
V = 14.13 in ^ 3
Answer:
The amount of glitter required to completely fill one glass ornament is:
V = 14.13 in ^ 3
Answer:
Time(t) = 11.61 hours (Rounded to two decimal place)
Step-by-step explanation:
Given: The antibiotic clarithromycin is eliminated from the body according to the formula:
......[1]
where;
A - Amount remaining in the body(in milligram)
t - time in hours after the drug reaches peak concentration.
Given: Amount of drug in the body is reduced to 100 milligrams.
then,
Substitute the value of A = 100 milligrams in [1] we get;

Divide both sides by 500 we get;

Simplify:

Taking logarithm both sides with base e, then we have;

[ Using
]
or

[using value of
]
then;

Simplify:
t ≈11.61 hours.
Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams
Hey there! I'm happy to help!
Let's call the hamburgers h and the cheeseburgers c.
h+c=500
c=h-50
Let's plug this value for c into the first equation to solve for h.
h+h-50=500
2h-50=500
Add 50 to both sides.
2h=550
Divide both sides by 2.
h=275
Therefore, 275 hamburgers were sold on Wednesday.
Have a wonderful day! :D
Answer:
Step-by-step explanation:
-1 ≤ x < 3 Solution set = {-1, 0 ,1 , 2}
-2 < x < 2 Solution set = {-1 , 0 , 1}
Integer values that satisfies both inequalities are -1 , 0 , 1