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A transmitter from a researcher's boat sends a signal to the seabed of waves speed 300m/s and it takes 5 seconds for the signal to return back to the boat. Calculate the depth of the sea there.

distance=speed*time

distance=300*5

=1500

1500/2 (as signal travels back and forth)=750m

Answered by Tani A. • Physics tutor

1781 Views

The supply function for the production of good A is P=50+45Q. The demand function is P= 100-5Q. Find the equilibrium price and quantity.

At P_Qe supply equals demand sowe set equations equal to each other and solve as symoltaneous equations: 50+45Q=100-5Q

then 50Q=50

so Q_e=1.

By ...

Answered by Peter K. • Economics tutor

1999 Views

Find two values of k, such that the line y = kx + 2 is tangent to the curve y = x^2 + 4x + 3

There will be intersection when x^2 + 4x + 3 = kx + 2. Our goal is to find the values of k which would only give one solution to this quadratic equation, which would make the lines 'tangent' to each other...

Answered by Andrew N. • Maths tutor

33941 Views

Calculate the kinetic energy of a proton moving at 95% of the speed of light. (c = 3x10^8 m/s, m_p = 1.67x10^-27 kg) [4 marks]

KE = 0.5mv²[1] v = 3x10⁸* 0.95 = 2.85x10⁸[1] KE = 0.5 * 1.67x10^-27* (2.85x10⁸)²[1] KE = 6.782 x10^-11J [1]

Answered by Tom F. • Physics tutor

6528 Views

Describe what is meant by the following musical textures: 1) homophonic, 2) polyphonic, 3) call and response.

Homophonic texture is when the music sounds 'as one', such as block chords, where all instruments change notes at the same time.
Polyphonic means 'many sounds'. The instruments...

Answered by Tom F. • Music tutor

15985 Views