answer.
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
pochemuha
2 years ago
14

The value of (997)1/3 according to binomial theorem is

Physics
1 answer:
postnew [5]2 years ago
5 0

Answer:

9.99

Explanation:

The value of (997)^1/3

(997)^1/3

997 = (1000 - 3)

(1000 - 3)^1/3

Expanding :

[1000(1 - 3/1000)]^1/3

1000^1/3 * (1 - 3/1000)^1/3

Cube root of 1000

10 * (1 - 3/1000 * 1/3)

10 * (1 - 1/1000)

10 * (1 - 0.001)

10(0.999)

= 9.99

Hence, the value of (997)^1/3 according to binomial theorem is 9.99

You might be interested in
Two children stand on a platform at the top of a curving slide next to a backyard swimming pool. At the same moment the smaller
victus00 [196]

1.

Answer:

a) It is less

Explanation:

By energy conservation we can say that initial potential energy of both child must be equal to the final kinetic energy of the two child.

Since initially they are at same height so we will say that initial potential energy will be given as

mgH and MgH

so the child with greater mass has more energy and hence smaller child will reach with smaller kinetic energy

2.

Answer:

b. The two speeds are equal.

Explanation:

As we know by mechanical energy conservation law we have

mgh = \frac{1}{2}mv^2

v = \sqrt{2gh}

since both child starts at same height so here they both will reach the bottom at same speed

3.

Answer:

c. The two accelerations are equal

Explanation:

Since we know that average acceleration of the motion is given as

a = \frac{v_f - v_i}{\Delta t}

since here initial and final speeds are same so they both must have same average acceleration here.

5 0
2 years ago
A 64.5 kg person steps off a 129 kg rowboat with a force of 34.0 N. What is the force that is applied to the person by the rowbo
Arada [10]
34.0 N which is the force that applied to the person by rowboat.
3 0
2 years ago
A lawn sprinkler sprays water 8 feet at full pressure as it rotates 360 degrees. if the water pressure is reduced by 50%, what i
lina2011 [118]
The area of the sprinkles can be determined through the area of a circle that is pi * r^2 in which the given dimensions above are the radii, r. The second scenarios radius is only half of the original, that is 4 ft. In this case, we can compute the area of the second again. We calculate next the difference of two areas of circles. 
7 0
2 years ago
A fish is 80 cm below the surface of a pond. What is the apparent depth (in cm) when viewed from a position almost directly abov
Rudik [331]

Answer:

Apparent depth (Da) = 60.15 cm (Approx)

Explanation:

Given:

Distance from fish (D) = 80 cm

Find:

Apparent depth (Da)

Computation:

We know that,

Refractive index of water (n2) = 1.33

So,

Apparent depth (Da) = D(n1/n2)

Apparent depth (Da) = 80 (1/1.33)

Apparent depth (Da) = 60.15 cm (Approx)

5 0
2 years ago
A 1.00-kilogram ball is dropped from the top of a building. just before striking the ground, the ball's speed is 12.0 meters per
Anarel [89]
During the fall, the potential energy stored in the ball is converted into kinetic energy.
Thus,
PE = KE before hitting the ground
= 1/2 • mv^2
= 1/2 • 1 • 12^2
= 72J
6 0
2 years ago
Other questions:
  • Select the volume units that are greater than one liter.
    7·2 answers
  • The use of air bags in cars reduces the force of impact by a factor of 110.(The resulting force is only as great.) What can be s
    15·2 answers
  • A 5.0 kg cannonball is dropped from the top of a tower. It falls for 1.6 seconds before slamming into a sand pile at the base of
    8·1 answer
  • If an electron is accelerated from rest through a potential difference of 9.9 kV, what is its resulting speed? (e = 1.60 × 10-19
    14·1 answer
  • A torque of magnitude T = 11 kN·m is applied to the end of a tank containing compressed air under a pressure of 8 MPa. Knowing t
    6·1 answer
  • A majorette in the Rose Bowl Parade tosses a baton into the air with an initial angular velocity of 2.5 rev/s. If the baton unde
    11·1 answer
  • X-rays with an energy of 300 keV undergo Compton scattering from a target. If the scattered rays are detected at 30 relative to
    8·2 answers
  • You need to determine the density of an unknown liquid and decide to perform an experiment. You notice that a wooden block float
    9·1 answer
  • Iron man wears an awesome ironsuit.He is flying over high current carrying wire. Will he be affected?
    12·1 answer
  • What is the magnitude of the force between a 25μC charge exerts on a -10μC charge 8.5cm away?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!