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faust18 [17]
3 years ago
9

A spherical balloon is inflated with a gas at the rate of 500 cm3/min. How fast is the radius of the balloon increasing at the i

nstant the radius is 30 cm? A. 5/(36pi)cm/min
B. 2/(18pi)cm/min
C. 4/(9pi)cm/min
D. 7/(24pi)cm/min
Mathematics
1 answer:
Burka [1]3 years ago
7 0

The volume of the sphere is expressed in the formula V = 4/3 pi r^3. The rate of change of volume is determined by differentiating the formula: dV/dt = 4pi r^2 dr/dt. When we substitute 500 cm3/min as dV/dt and 30 cm as r. Then dr/dt is equal to 0.0442 cm/min
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the amount of money spent weekly on cleaning maintenance and repairs at a large restaurant was observed over a long period of ti
soldi70 [24.7K]

Answer:


Step-Question: The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was ...

The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean ? = $615 and standard deviation ? = $38.

(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)

(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only0.08? (Round your answer to the nearest dollar.)

$by-step explanation:


4 0
3 years ago
monica tiene 6/10kg de dulces con los cuales llena 1/4 de una bolsa de celofn ¿cual es la capacidad de la bolsa?
Anit [1.1K]
The question in English
<span>Monica has 6 /10 kg of candy with which she fills 1/4 of a cellophane bag. What is the capacity of the bag?
</span>
we know that
6/10---------> 0.60
1/4----------> 0.25------> 25%

if 25% of a cellophane bag---------------> has a 0.60 kg of candy
100%-----------------------------------------> X
X=100*0.60/25--------> X=2.4 kg

the answer is
2.4 kg


the answer in Spanish

Sabemos que
6/10---------> 0.60
1/4----------> 0.25------> 25%

if 25% de la bolsa de celofan---------------> se llena con 0.60 kg de dulces
100% de la bolsa----------------------------------------->se llenara con  X kg 
X=100*0.60/25--------> X=2.4 kg

La respuesta es
2.4 kg
5 0
3 years ago
Kim uses decals to decorate 5 cars
irina1246 [14]
There is not enough detail for me to answer
5 0
3 years ago
Read 2 more answers
One fourth of a box of cereal was shared equally among 3 people. How much cereal did each person get?
just olya [345]
Okay so the problem starts you off with the fraction (1/4). Sharing equally among 3 people would mean that you'd want to divide it by three so your equation would initially look like (1/4) / 3. Having two dividing signs is confusing so what you do is change the dividing into multiplying by the reciprocal of 3 = 1/3... This would make your expression (1/4) * (1/3) and when you simplify this you should get 1/12 as the answer.   
6 0
3 years ago
Read 2 more answers
The car dealership decides to revise its commission program. Now the salesperson gets a flat commission of $60 for every $200 of
DedPeter [7]
60 is what percent of 200...
60/200 = x/100
200x = 6000
x = 6000/200
x = 30%...that means for every sale, the sales person gets a 30% commission

C(p) = 0.3p <==
4 0
3 years ago
Read 2 more answers
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