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3 years ago

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Extra Points! Emerson purchased a game that was on sale for 18% off. The sales tax in his county is 8%. Let y represent the orig

inal price of the game. Write an expression that can be used to determine the final cost of the game (keep simple please)

2 answers:

GalinKa [24]3 years ago

5 0

Answer:

mjgvk

Step-by-step explanation:

Tanzania [10]3 years ago

3 0

Answer:skisjsn

Step-by-step explanation:

jsksjaja

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In a certain city the temperature in degrees Fahrenheit t hours after 9 am was approximated by the function T(t) = 50 + 13 sin (

Liula [17]

Answer:

The average temperature during the period of 9 am to 9 pm is 58.276 ° F

Step-by-step explanation:

From the given information, the time given as 9 pm implies that t = 12, since there is a period of 12 hours between 9 am to 9 pm.

Hence,

Let the average temperature be represented with $T_{avg}$

Then:

$T_{avg} = \dfrac{1}{12-0}\int^{12}_{0} T(t) dt$

$T_{avg} = \dfrac{1}{12}\int^{12}_{0} (50+13 \ sin ( \dfrac{\pi t}{12}))dt$

$T_{avg} = \dfrac{1}{12} \begin {bmatrix} 50t + 13 \begin {pmatrix} -\dfrac{cos \dfrac{\pi t}{12} }{\dfrac{\pi}{12}} \end {pmatrix} \end {bmatrix}^{12}_{0}$

$T_{avg} = \dfrac{1}{12} \begin {bmatrix} 50t - \dfrac{13(12)}{\pi} \ cos \begin {pmatrix} \dfrac{\pi t}{12} \end {pmatrix} \end {bmatrix}^{12}_{0}$

$T_{avg} = \dfrac{1}{12} \begin {bmatrix} 50(12) - \dfrac{13(12)}{\pi} \ cos \begin {pmatrix} \dfrac{\pi (12)}{12}\end {pmatrix} - 50 (0) + \dfrac{13(12)}{\pi} cos \begin{pmatrix}\dfrac{\pi (0)}{12} \end {pmatrix} \end {bmatrix}$

$T_{avg} = \dfrac{1}{12} \begin {bmatrix} 50(12) - \dfrac{156}{\pi} \ cos \pi - 50 (0) + \dfrac{156}{\pi} cos (0) \end {bmatrix}$

$T_{avg} = \dfrac{1}{12} \begin {bmatrix} 50(12) - \dfrac{156}{\pi} (-1)- 50 (0) + \dfrac{156}{\pi} (1) \end {bmatrix}$

$T_{avg} = \dfrac{1}{12} \begin {bmatrix} 600 + \dfrac{156}{\pi} + \dfrac{156}{\pi} \end {bmatrix}$

$T_{avg} = \dfrac{1}{12} \begin {bmatrix} 600 + \dfrac{312}{\pi} \end {bmatrix}$

$T_{avg} = \dfrac{1}{12} \begin {bmatrix} 699.3126845 \end {bmatrix}$

$\mathbf{T_{avg} = 58.276}$

Therefore, the average temperature during the period of 9 am to 9 pm is 58.276 ° F

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Answer:

Step-by-step explanation:

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3 years ago

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vladimir2022 [97]

Answer:

<h2>1</h2>

Step-by-step explanation:

t < 2 - t is less than 2

1 is the positive integer as the solution of the inequality t < 2.

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A cube is shown.<br><br> What is the surface area of the cube?

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3 x 8 intense of 8 x 3

hope this helps!

-SummerBreaker

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4 years ago