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Reika [66]
3 years ago
6

The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the diameter is 60 mm?

Physics
1 answer:
jok3333 [9.3K]3 years ago
5 0
V = [4/3]π r^3 => [dV / dr ] = 4π r^2

[dV/dt] = [dV/dr] * [dr/dt]

[dV/dt] = [4π r^2] * [ dr/ dt]

r = 60 mm, [dr / dt] = 4 mm/s

[dV / dt ] = [4π(60mm)^2] * 4mm/s = 180,955.7 mm/s 


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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Marat540 [252]

The last on on the image :-)

8 0
3 years ago
Nine tree lights are connected inparallel across 120-V potential difference. The cord to the wall socket carries a current of 0.
jok3333 [9.3K]

Answer:

a)3000ohm

b)4.44mA

Explanation:

a) we were given a Nine tree lights connected inparallel across 120-V potential difference, since the resistor are in parallel we use the expresion below

1/R(total)= 1/R₁ + 1/R₂ + 1/R₃ + 1/R₃ +.... 1/R₉

But according to ohm'law which can be expressed below

V=IR

R=V/I

R(total)= 120/0.36

= 333.33ohm

1/R(total)= 1/R₁ + 1/R₂ + 1/R₃ + 1/R₃ +.... 1/R₉

R₁=R₂ =R₃ =R₄= R₅=R₆=R₇=R₈=R₉

1/R(total)=9/R

1/333.33= 9/R

R= 3000ohm

Therefore, the resistance is 3000ohm

b)the bulbs were connected in series here, then for series connection we use below expression

R₁=R₂ =R₃ =R₄= R₅=R₆=R₇=R₈=R₉

R(total)=9R

= 9*3000

=27000ohm

I=VR

I=V/R

I= 120/27000

= 4.44*10⁻³A

4.44mA

Therefore, the current is 4.4mA

7 0
4 years ago
True<br> False<br><br> PLEASE HELP
harkovskaia [24]

Answer:

False

Explanation:

10 is not the same as -10 but if -10 is the absolute value they would be the  same

Give me brainllest

6 0
3 years ago
What are the three important safety factors for surgical technologists to consider when exposed to ionizing radiation?
Gemiola [76]

Answer:

Exposure time limitation, shielding and distance.

Explanation:

  • Limitation of exposure time, since the dose received is directly proportional to the exposure time, so that, at a shorter time, lower dose. For this reason, planning is suggested, to reduce time.
  • Use of shields. This allows a reduction in the dose received by the technician when filtered by the barrier (screen). There are two types of shields or screens, the primary barriers (attenuate the radiation of the primary beam) and the secondary barriers (avoid diffuse radiation).
  • Distance to the radioactive source. The dose received is inversely proportional to the square of the distance to the radioactive source. Therefore, if the distance is doubled, the dose received will decrease by a quarter. Reason for this, it is advisable to use devices or remote controls whenever possible.
7 0
3 years ago
a ball was 2.0 m off the ground and thrown horizontally. it traveled for 7.8 m before it hit the ground. what was the imitial sp
Leto [7]

Answer:

12 m/s

Explanation:

First, find the time it takes for the ball to fall 2.0 m.

y = y₀ + v₀ t + ½ at²

0 = 2.0 + (0) t + ½ (-9.8) t²

0 = 2 − 4.9t²

t = 0.639

Find the velocity needed to travel 7.8 m in that time.

x = x₀ + v₀ t + ½ at²

7.8 = 0 + v₀ (0.639) + ½ (0) (0.639)²

7.8 = 0.639 v₀

v₀ = 12.2

Rounded to two significant figures, the initial velocity is 12 m/s.

7 0
3 years ago
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