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svet-max [94.6K]
3 years ago
15

The elevation E, in meters, above sea level at which the boiling point of a certain liquid is t degrees Celsius is given by the

function shown below. At what elevation is the boiling point 119.5? 120? E(t)= 1200(120-t)+520(120-t)^2 At what elevation is the boiling point 119.5?
E(119.5)= (the answer) meters
Mathematics
1 answer:
Anna007 [38]3 years ago
5 0

Answer:

E(119.5)= 730m

Step-by-step explanation:

Given

E(t)= 1200(120-t)+520(120-t)^2

Required

Determine E(119.5)

E(t)= 1200(120-t)+520(120-t)^2

Simply substitute 119.5 for t

E(119.5)= 1200(120-119.5)+520(120-119.5)^2

Evaluate the expressions in bracket

E(119.5)= 1200(0.5)+520(0.5)^2

Solve 0.5²

E(119.5)= 1200 * 0.5+520*0.25

E(119.5)= 600+130

E(119.5)= 730

Hence;

E(119.5)= 730m

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If cos(x) = Three-fourths and tan(x) < 0, what is cos(2x)?
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Step-by-step explanation:

The value of sin(2x) is \sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

How to determine the value of sin(2x)

The cosine ratio is given as:

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4

1

Calculate sine(x) using the following identity equation

\sin^2(x) + \cos^2(x) = 1sin

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So we have:

\sin^2(x) + (1/4)^2 = 1sin

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\sin(x) = \pm \sqrt{15/16

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∗

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(x^3+10x^2+2)/(x+10)
SCORPION-xisa [38]

The quotient is x^2

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Step-by-step explanation:

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The division is shown in figure attached.

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Keywords: Division of polynomials

Learn more about Division of polynomials at:

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