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
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
You might be interested in
If 4x-5y=6 and xy=8 then find the value of 16x^2+25y^2​
Anit [1.1K]

Answer:

Hello,

356

Step-by-step explanation:

4x-5y=6\\xy=8\\\\(4x-5y)^2=16x^2+25y^2-40xy\\\\\\16x^2+25y^2=(4x-5y)^2+40xy=6^2+40*8=356\\

6 0
2 years ago
Jessica rode 9 miles farther than Roger rode. Let rrepresent the number ofmiles Roger rode. Write an expression for the number o
fenix001 [56]
R+9 Because Jessica rode 9 miles more than Roger, you would add 9 to Roger's number making the expression r+9
4 0
3 years ago
WILL GIVE BRAINLIEST! NEED HELP! THANK YOU
liubo4ka [24]

Answer:

y= 3/2x-3

Step-by-step explanation:

m= y2-y1/x2-x1

m= -6-(-9)/-4-(-2)

m= 3/2

y= mx+b

y= 3/2x+b

-9=3/2*-6+b

3 0
2 years ago
The diagram represents a dilation with a center at P. If the scale factor of e dilation is K, which statement about the diagram
boyakko [2]

Answer:

C is correct. If the scale factor is greater than 1, the image is an enlargement. The segment UT could be an enlargement of the segment ST.

Step-by-step explanation:

A. If > 1, then the image of could be .  

B. If 0 < < 1, then the image of could be . ( If the scale factor is between 0 and 1, the image is a reduction )

C. If > 1, then the image of could be .

D.If = 2, then the image of is itself.

A is not correct.  If the scale factor is between 0 and 1, the image is a reduction.

B is not correct.  If the scale factor is between 0 and 1, the image is a reduction.

C is correct.  If the scale factor is greater than 1, the image is an enlargement.

D is not correct.  If the scale factor is 1, the figure and the image are congruent.

8 0
3 years ago
Johnny can type 141 words in 2 minutes.at this rate,how many words can be typed in 10 minutes
Sergeu [11.5K]

Answer:

705

Step-by-step explanation:

141 words in 2 minutes means 70.5 words in a minute

70.5 × 10 = 705 words in 10 minutes

7 0
3 years ago
Read 2 more answers
Other questions:
  • Subtract -2k3 + k2 - 9 from 5k3 - 3k + 7.
    9·2 answers
  • What is the slope of 10 in 11 roof?
    14·1 answer
  • Write this trinomial in factored form. 3b^2+b-14​
    14·1 answer
  • BRAINLIESTTTT ASAP!<br><br> please answer
    14·1 answer
  • WHAT IS 2-1 HELP ME PLZ
    7·2 answers
  • Squaring a number and adding one will always produce an even number.
    10·1 answer
  • 13. Use the mapping shown above to show the value of the function ƒ(x) at each point.
    8·1 answer
  • What is the answer to (4m-5) - (6m-7+2n)
    9·1 answer
  • The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj. Identify the form.
    14·1 answer
  • 24.783 is what percent of 75.1
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!