Answer: 0.04metres
Explanation:
The wavelength of a wave is the distance covered by the wave after one complete cycle. It is measured in metres, and represented by the symbol λ
Recall that Velocity (V) = Frequency F x wavelength λ
V = F λ
Make λ the subject formula
λ = V / F
In this case Frequency = 0.4 kHz
Convert kilohertz to hertz by multiplying 0.4 by 1000 i.e (0.4 x 1000Hz) = 400Hz
Velocity of wave = 16 m/s
So, λ = V / F
λ = 16 m/s / 400Hz
λ = 0.04metres
Thus, the wavelength of a wave is 0.04metres
Answer:
The sporophytes of ferns grow through the rhizome
Explanation:
The gametophyte are responsible for sexual reproduction in plants while the sporophytes are usually responsible for asexual reproduction in plants.
Sporophytes are found in the rhizomes of plants and they help in the asexual reproduction.
This is how rhizomes are involved in asexual reproduction of ferns
Answer: overpopulation of predators
Explanation: Overpopulation of predators is the correct option. Predators are the organisms which kill other organism so as to obtain them as food. The organism being killed is called as the prey.
If the population of the predators increase this will lead to the extinction of many species of prey. As it is evident that every organism in the ecosystem has a typical role to play. Therefore, it can be said that role of prey will not be performed and this may lead to disturbance in the ecological balance.
Answer:
![10\,cos\,2x](https://tex.z-dn.net/?f=10%5C%2Ccos%5C%2C2x)
Explanation:
To differentiate: ![10\,sinx\,\,cos x](https://tex.z-dn.net/?f=10%5C%2Csinx%5C%2C%5C%2Ccos%20x)
Solution:
Use product rule:
and the following formulae:
![(sinx)'=cosx\,,\,(cosx)'=-sinx](https://tex.z-dn.net/?f=%28sinx%29%27%3Dcosx%5C%2C%2C%5C%2C%28cosx%29%27%3D-sinx)
![(10\,sinx\,\,cos x)'=10[(sinx)'cosx+(sinx)(cosx)']\\\\=10[cosx\,cosx-sinx\,sinx]\\\\=10[cos^2x-sin^2x]](https://tex.z-dn.net/?f=%2810%5C%2Csinx%5C%2C%5C%2Ccos%20x%29%27%3D10%5B%28sinx%29%27cosx%2B%28sinx%29%28cosx%29%27%5D%5C%5C%5C%5C%3D10%5Bcosx%5C%2Ccosx-sinx%5C%2Csinx%5D%5C%5C%5C%5C%3D10%5Bcos%5E2x-sin%5E2x%5D)
Use ![cos^2x-sin^2x=cos2x](https://tex.z-dn.net/?f=cos%5E2x-sin%5E2x%3Dcos2x)
![(10\,sinx\,cosx)'=10\,cos2x](https://tex.z-dn.net/?f=%2810%5C%2Csinx%5C%2Ccosx%29%27%3D10%5C%2Ccos2x)
ANSWER: C, the continents were at one time joined together.
REASONING: Alfred Wegener was the first person to propose the scientific theory of Continental Drift. Continental Drift is a theory that supposes all the continents were at one time joined together as one large land mass. The mechanisms of continental drift can be explained by Plate Tectonics.