2 years ago

Write the expression in exponential form. log . N = x

Mathematics

1 answer:

OleMash [197]2 years ago

4 0

Answer:

N = x2

Step-by-step explanation:

Follpwing the format

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Ajay's car used 314 gallons of gas on a trip to the beach. Assume 1 gallon = 3.8 liters. What is the best estimate of the number

Marina86 [1]

Answer

Find out the what is the best estimate of the number of liters Ajay's car used .

To prove

As given

Ajay's car used 314 gallons of gas on a trip to the beach.

Assume 1 gallon = 3.8 liters

Than

The number of liters Ajay's car used = 314 × 3.8

= 1193.2 litres

Therefore 1193.2 litres Ajay's car used .

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Step-by-step explanation:

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Step-by-step explanation:

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dmitriy555 [2]

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2 years ago

I need to get the left side to equal the right side. Keeping the right side alone and not changing it.

likoan [24]

<u>To prove the trigonometric equation:</u>

$\sin ^{3} x+\cos ^{3} x=(\sin x+\cos x)(1-\sin x \cos x)$

$RHS=(\sin x+\cos x)(1-\sin x \cos x)$

We know that $\sin^2x +\cos^2x=1$ , substitute this in place of 1.

$=(\sin x+\cos x)(\sin^2x +\cos^2x-\sin x \cos x)$

Multiply each term of the first term with each term of the 2nd term.

$=\sin^3x + \sin x \cos^2x-\sin^2 x \cos x+\cos x \sin^2 x + \cos^3 x-\sin x\cos^2 x$

Group like terms together.

$=\sin^3x +( \sin x \cos^2x-\sin x\cos^2 x)+(\cos x \sin^2 x-\sin^2 x \cos x) + \cos^3 x$

$=\sin^3x +( 0)+(0) + \cos^3 x$

$=\sin^3x + \cos^3 x$

= LHS

RHS = LHS

$\sin ^{3} x+\cos ^{3} x=(\sin x+\cos x)(1-\sin x \cos x)$

Hence proved.

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2 years ago