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2 years ago

P: Atlanta is the capital of Georgia. q: There are 4 feet in a yard. Truth Value: -----

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

6 0

Answer:

Statement P is T

Stamens Q is F

Step-by-step explanation:

Here, we want to write the truth value for each of the statements.

For statement P, the truth value is T since in reality Atlanta is the capital of Georgia.

For statement q, the truth value is F since in reality there are 3 feet in a yard

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Assume that the number of hours of daylight in New Orleans in 1994 is given by the function D(x) = 7 3 sin 2π 365 x + 35 3 , whe

Bas_tet [7]

Answer:

Here, the given function that represents the number of hours of daylight in New Orleans in 1994 is,

$D(x) = \frac{7}{3} \sin \frac{2\pi }{365}x + \frac{35}{3}$

Where,

x = the number of days after March 21

The number of days from 1 January to march 21 = 80

If x = -80, then,

$D(-80) = \frac{7}{3} \sin \frac{2\pi }{365}(-80) + \frac{35}{3}$

$=\frac{7}{3} \sin (-\frac{160 \pi}{365}) + \frac{35}{3}$

$=-\frac{7}{3} \sin (\frac{160 \pi}{365}) + \frac{35}{3}$

$=-\frac{7}{3}(0.98130)+\frac{35}{3}$

$\approx 9.38$

Therefore, the number of hours of daylight on January 1 are 9.38.

The number of days from march 21 to may 4 = 44

If x =44, then,

$D(44) = \frac{7}{3} \sin \frac{2 \pi}{365}(44) + \frac{35}{3}$

$=\frac{7}{3} \sin (\frac{88 \pi}{365}) + \frac{35}{3}$

$=\frac{7}{3}(0.6870) + \frac{35}{3}$

$\approx 13.27$

Therefore, the number of hours of daylight on May 4 are 13.27.

The number of days from October 28 to may 4 = 221

If x = 221, then,

$D(221) = \frac{7}{3} \sin \frac{2 \pi}{365}(221) + \frac{35}{3}$

$=\frac{7}{3} \sin (\frac{442 \pi}{365}) + \frac{35}{3}$

$=\frac{7}{3}(-0.6152)+\frac{35}{3}$

$\approx 10.23$

Therefore, the number of hours of daylight on October 28 are 10.23.

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2 years ago

tickets were sold at four different gates. Gate D sold 24%. Gate A sold 36%. Gate C sold 14%. Gate B sold 26%. If 39 tickets wer

Drupady [299]

Answer:

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Step-by-step explanation:

Given: Tickets sold at four different gates

Gate B sold 26 % tickets

Tickets sold at Gate B = 39

Let take x as total number of tickets sold at all four gates.

Now, using the value of gate B to find total number of tickets

∴ $26\% \times total\ ticket\ sold = 39$

⇒ $\frac{26}{100} \times x = 39$

Next, cross multiply both side

⇒ $x= \frac{39\times 100}{26} = 150\ tickets$

∴ Total tickets sold at all the four gates is 150

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Step-by-step explanation:

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