1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mars1129 [50]
2 years ago
8

The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate

the maximum error in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error
Mathematics
1 answer:
hoa [83]2 years ago
3 0

Answer:

9.60πcm²

Step-by-step explanation:

Area of circular disk, A = πr²

Differntiate A with respect to r

dA/dr = π * (2r^(2-1)) /(2-1) + C

dA/dr = π * 2r/1

dA/dr = 2πr

dA = 2πr * dr

dA = 2πrdr

dA = maximum error ; dr= Error in measurement = 0.2 cm ; r = radius = 24cm

dA = 2π * 24 * 0.2

dA = 9.60πcm²

You might be interested in
Which situation could best be represented by this linear equation?<br><br> 2.75x + 3.25y = 215
Zepler [3.9K]
<span>2.75x + 3.25y = 215
</span>
answer is the last one (D)

4 0
2 years ago
Read 2 more answers
What percent of 8 is 14
seraphim [82]

Answer:

57.14

Step-by-step explanation:

8/14 =x/100

cross multiply

800= 14x

x=57.1428

7 0
3 years ago
Read 2 more answers
Please help on all the questions i will mark as BRAINLYEST thank you :)))
sergeinik [125]
Yes it is right that is the right one
5 0
3 years ago
A hotel rents 210 rooms at a rate of $ 60 per day. For each $ 2 increase in the rate, three fewer rooms are rented. Find the roo
lidiya [134]

Answer:

r=$14,400

The hotel should charge $120

Step-by-step explanation:

Revenue (r)= p * n

where,

p = price per item

n = number of items sold

A change in price leads to a change in number sold

A variable to measure the change in p and n needs to be introduced

Let the variable=x

Such that

p + x means a one dollar price increase

p - x means a one dollar price decrease

n + x means a one item number-sold increase

n - x means a one item number-sold decrease

for each $2 price increase (p + 2x) there are 3 fewer rooms are rented (n-3x)

know that at $60 per room, the hotel rents 210 rooms

r = (60 + 2x) * (210 - 3x)

=12,600-180x+420x-6x^2

=12,600+240x-6x^2

r=2100+40x-x^2

= -x^2 +40x+2100=0

Solve the quadratic equation

x= -b +or- √b^2-4ac / 2a

a= -1

b=40

c=2100

x= -b +or- √b^2-4ac / 2a

= -40 +or- √(40)^2 - (4)(-1)(2100) / (2)(-1)

= -40 +or- √1600-(-8400) / -2

= -40 +or- √ 1600+8400 / -2

= -40 +or- √10,000 / -2

= -40 +or- 100 / -2

x= -40+100/-2 OR -40-100/-2

=60/-2 OR -140/-2

= -30 OR 70

x=70

The quadratic equation has a maximum at x=70

p+2x

=60+2(30)

=60+60

=$120

r= (60 + 2x) * (210 - 3x)

={60+2(30)}*{(210-3(30)}

r=(60+60)*(210-90)

=120*120

=$14,400

7 0
3 years ago
According to the Sleep Foundation, the average night's sleep is 6.8 hours (Fortune, March 20, 2006). Assume the standard deviati
vivado [14]

Let X be the random variable for the time a given person from the population spends sleeping. With X\sim\mathcal N(6.8,0.4^2) we have

P(X>8)=P\left(\dfrac{X-6.8}{0.4}>\dfrac{8-6.8}{0.4}\right)=P(Z>3)\approx0.0013

where Z\sim\mathcal N(0,1^2).

P(X\le6)=P\left(\dfrac{X-6.8}{0.4}\le\dfrac{6-6.8}{0.4}\right)=P(Z\le-2)\approx0.0228

P(7

Rounded to the nearest whole number, that comes out to about 31%.

5 0
3 years ago
Other questions:
  • Anna went from home to school with the speed 3 km/hour. She ran back home with the speed 6 km/hour.Her sister Olga went to schoo
    10·1 answer
  • What is the answer. for /10 to the 3rd power
    12·2 answers
  • PLZ HELP ASAP
    9·1 answer
  • If a triangle has one angle of 79 and a second angle of 58, what are the measures of angles 1 and 2
    6·1 answer
  • dantes mom made 2 liters of cocoa. dante and his 5 friends each drank a serving of cocoa. If each serving is 325 ml, how much co
    13·1 answer
  • :14=15:21lololololol i have to put 20 characters lolol
    13·1 answer
  • Find the sum of the first 48 terms of the following series, to the nearest integer. 11, 18,25,...
    7·2 answers
  • Nancy borrowed $150 from her parents to buy a video game system. She has agreed to pay them back $25 each week Which equation re
    12·1 answer
  • PLEASEE HELPP!!! DUE TODAYY!!!
    5·1 answer
  • I need shown work with numbers or an explanation if need.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!