The result of 9 ∙ 10-⁵ divided by 3 ∙ 10-⁹ is 3 × 10⁴. Details about exponential functions can be found below.
How to calculate multiplication involving exponentiation?Exponentiation is the process of calculating a power by multiplying together a number of equal factors, where the exponent specifies the number of factors to multiply.
According to this question, the following exponential function is given:
9 × 10-⁵ ÷ 3 × 10-⁹
9/3 × 10-⁵+⁹
3 × 10⁴
Therefore, the result of 9 ∙ 10-⁵ divided by 3 ∙ 10-⁹ is 3 × 10⁴.
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A cross country skier moves 32 m north, then 65 m south, and finally 16 m north. What is the distance? What is the displacement ?
The distance and Displacement travelled by skier is 17m and 16 m
What is Distance and Displacement?Distance is the length of the actual path taken by object.
Displacement is the shortest distance between the initial and final position.
The SI unit of both distance and displacements is meter (m).
In this case,
Distance = 32m - 65m + 16 m
= 17 m
Here ,
Displacement = Initial position - Final position
= 32m -16m = 16m
Hence , The distance and displacement of the skier are 17m and 16m.
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anxious to the point that he couldn't eat very well without his stomach feeling queasy. As a result of his stress, Jonah increased his time of practicing basketball and asked an old team member to help him develop new skills he needed in order to make the team. After hearing that he made the basketball team a day after tryouts, Jonah went out for a large pizza with the rest of the team players.
Based on this information, a psychologist would most likely conclude that Jonah's stress __________.
Based on this information, a psychologist would most likely conclude that Jonah's stress led him toward positive personal changes.
What is stress?When a person is afraid or tensed about something, he overthinks about him and become stressed.
Anxious to the point that he couldn't eat very well without his stomach feeling queasy. As a result of his stress, Jonah increased his time of practicing basketball and asked an old team member to help him develop new skills he needed in order to make the team. After hearing that he made the basketball team a day after tryouts, Jonah went out for a large pizza with the rest of the team players.
As, he is feeling good, he wants to celebrate himself. So, he went to eat pizza with his team players. This shows that he is not stressed but happy.
Thus, ,this information depicts that Jonah's stress led him toward positive personal changes.
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A type of anchor that is a good choice when jacking or leveling
the fastening component is a(n)_
Select one:
O a. wedge anchor
O b. stud bolt anchor
O c. one-piece anchor
O d. hammer-set anchors
A type of anchor that is a good choice when jacking or leveling the fastening component is a stud bolt anchor.
What is a Stud bolt anchor?
These are the type of anchor which bare embedded in concrete with the threaded portion on the outside.
This makes it easier to jack or level the fastening component which is why option B was chosen.
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An object of volume 2.0×10⁴cm³ is under water .calculate the buoyant force of water on the object (Density of water=1000kg/m³)
Answer:
An object of volume 2.0×10⁴cm³ is under water .calculate the buoyant force of water on the object (Density of water=1000kg/m³) 196.2N
A car travels 263.0 miles in 5.5 hours. How long will it take to travel 363.0 miles at
this average velocity? (Answer to 1 decimal place)
From the average velocity calculated, if the car should travel 363.0 miles, the time elapsed will be 7.6 hours.
How long will it take to travel 363.0 miles at the given average velocity?Note that; Velocity is the speed at which an object moves in a particular direction. It is expressed as;
v = distance / time
Given that;
Distance covered by the car d = 263.0 milesTime elapsed t = 5.5 hoursFirst we determine the velocity of the car.
v = distance / time
v = 263.0 miles / 5.5 hours
v = 47.8181 miles per hour.
Now, if the car travels 363.0 miles, time elapsed will be;
velocity = distance / time
time = distance / velocity
time = 363.0 miles / 47.8181 miles per hour
time = 7.6 hours
Therefore, from the average velocity calculated, if the car should travel 363.0 miles, the time elapsed will be 7.6 hours.
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What happens to sound waves from an object as it moves toward you?
The pitch gets higher because of an increase in wavelength.
The pitch gets lower because of an increase in frequency.
The pitch gets lower because of an increase in wavelength.
The pitch gets higher because of an increase in frequency.
The event that happens to sound waves from an object as it moves toward you is The pitch gets higher because of an increase in wavelength.
What is sound waves?Sound waves refer to a form of transverse wave that compress and vibrate while travelling from one medium to another thereby transferring energy.
Therefore, The event that happens to sound waves from an object as it moves toward you is The pitch gets higher because of an increase in wavelength.
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a steam engine works on its vicinity and 285 k heat is released with the help of 225 degree centigrade energy absorbed to the system. what is the efficiency of steam engine
The efficiency of the steam engine is 78.9%.
What is the efficiency of a machine?The efficiency of a machine is a measure of the useful work done by the machine as against the work input into the machine.
Efficiency of a machine = work output/work input × 100%Work output of the steam engine = 225 K
Work input of the steam engine = 285 K
The efficiency of the machine = 225/275 × 100% = 78.9%
Therefore, the efficiency of the steam engine is 78.9%.
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a conveyor belt at a recycling plant launches bottles and bottle caps into the air, so that an automatic image recognition device can count them. They land same height at which they are launched. Glass bottles are launched at an angle of 35.0 degrees above horizontal and land after 0.500 seconds.
a) Solve for the initial speed at which the bottles are launched.
b) Solve for the horizontal displacement at which the bottle land
(a) The initial speed at which the bottles are launched is 4.27 m/s.
(b) The horizontal displacement at which the bottle land is 1.75 m.
Initial speed of the bottleThe initial speed of the bottle is calculated as follows;
[tex]T = \frac{2usin\theta}{g}[/tex]
where;
T is time of flightu is the initial speed2usinθ = Tg
u = Tg/(2sinθ)
u = (0.5 x 9.8)/(2 x sin35)
u = 4.27 m/s
Horizontal displacement of the bottleX = u²sin(2θ)/g
X = (4.27² x sin(70))/(9.8)
X = 1.75 m
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Marc and Linh stretch out a long spring on the classroom floor. Marc holds one end of the spring still. Linh creates waves in the spring by moving the other end right and left with a frequency of 2 Hz. If wave crests are 0.5 m apart, what is the speed of the waves?
The speed of the wave created by Linh in the spring by moving the other end right and left with a frequency of 2 Hz is 1m/s.
How to calculate speed of a wave?The speed of a wave can be calculated by using the following formula:
Speed = Wavelength x Frequency
According to this question, Linh creates waves in the spring by moving the other end right and left with a frequency of 2 Hz. If wave crests are 0.5 m apart, the speed can be calculated as follows:
speed = 2Hz × 0.5m
speed = 1m/s
Therefore, the speed of the wave created by Linh in the spring by moving the other end right and left with a frequency of 2 Hz is 1m/s.
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An aircraft lands and brakes, slowing from 250 m/s to 5 m/s in 30 secs. What is it's acceleration?
O-10 m/s²
-8.2 m/s²
-1.3 m/s²
-5.2 m/s²
The acceleration of the aircraft is determined as -8.2 m/s².
Acceleration of the aircraft
The acceleration of the aircraft is calculated as follows;
a = Δv/t
where;
Δv is change in velocityt is timea = (5 - 250)/(30)
a = -8.2 m/s²
Thus, the acceleration of the aircraft is determined as -8.2 m/s².
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Microscopes are used to study the structures of rocks. Over time, microscopes have become more and more powerful.
As a result of this technological improvement, our structural information of rocks
As a result this technological improvement, our structural information of rocks has improved greatly.
What is a petrographic microscope?A petrographic microscope is a type of optical microscope that is used to identify rocks and minerals in very thin sections and also to investigate microscopic textures and features that are present in minerals and rocks.
This has improved greatly recent structural information about rocks.
Hence, microscopes used in the study of structures of rocks has overtime improved greatly our structural information about them
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Answer:
B is the correct answer.
Explanation:
A block with mass m = 2 kg slides down from a friction less ramp (mu = 0). If the angle theta is 25 degrees, find the acceleration of the block.
Based on the calculations, the acceleration of this block as it slides down from the friction less ramp is equal to 0.85 m/s².
How to determine the acceleration of the block?In order to determine the acceleration of this block, we would apply Newton's Second Law of Motion while taking moment about the tensional force.
The vertical component of the tensional force that is acting on the block as it slides down from this friction less ramp is given by:
T = Ma - Mgsinθ
0 = Ma - Mgsinθ
Ma = Mgsinθ
a = gsinθ
Substituting the given parameters into the formula, we have;
a = 9.8 × sin25
a = 9.8 × 0.4226
Acceleration, a = 0.85 m/s².
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What constant acceleration, in SI units, must a car have to go from zero to 30 m/s in 14 s ?
Express your answer with the appropriate units.
Answer:
Acceleration = 2.143m/s²
Explanation:
Vf=Vi+at
(30)=(0)+a(14)
a=2.143m/s²
A 0.250 kg block attached to a light spring oscillates on a frictionless, horizontal table. The oscillation amplitude is A = 0.125 m and the block moves at 3.00 m/s as it passes through equilibrium at x = 0. (a) Find the spring constant, k.
The spring constant, k will be 18 N/m.The ratio of force to one unit of displaced length is known as the spring constant.
What is the spring constant?Spring constant is defined as the ratio of force per unit displaced length.
Given data;
Mass of block,m=0.250 k
Amplitude,A = 0.125 m
Velocity,V=3.00 m/
Spring constant,K=?
The formula for the spring constant when the spring is oscillate at the given amplitude A:
[tex]\rm K = \frac{V_{max}^2 m}{A} \\\\ K = \frac{3.0 \times 0.250}{0.125} \\\\ K=18 \ N/m[/tex]
Hence, the spring constant, k will be 18 N/m
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