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mixas84 [53]
2 years ago
10

The student council at Spend too much High School is planning a school dance. The table below shows the budget for the dance.

Mathematics
2 answers:
hodyreva [135]2 years ago
6 0
$300 income
$250 + $100 = $350 expenses

$300 - $350 = a loss of $50
Anna71 [15]2 years ago
3 0

Answer: Their expected loss is $50.

Step-by-step explanation:

Since we have given that

Amount the student council can receive by dance tickets = $300

Amount they spent on DJ Denny = $250

Amount they spent on Decoration = $100

Total amount they spent on both is given by

\$250+\$100\\\\=\$350

Expected loss is given by Revenue-Expenses

\$300-\$350\\\\=-\$50

Hence, their expected loss is $50.

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Step-by-step explanation:

log_4(log_4 2x)=1 \\  \\  \therefore \: log_4 2x =  {4}^{1}  \\  \\ \therefore \: log_4 2x =4 \\  \\ \therefore \: 2x =  {4}^{4}  \\  \\ \therefore \: 2x = 256 \\  \\ \therefore \: x =  \frac{256}{2}  \\  \\ \therefore \: x = 128

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Students who party before an exam are twice as likely to fail as those who don't party (and presumably study). If 20% of the stu
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The fraction of the students who failed to went partying = \frac{1}{10}

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The function f(t) = 4t2 − 8t + 8 shows the height from the ground f(t), in meters, of a roller coaster car at different times t.
lidiya [134]

Answer:

f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 4 meters from the ground

Step-by-step explanation:

The function is a quadratic where t is time and f(t) is the height from the ground in meters. You can write the function f(t) = 4t2 − 8t + 8 in vertex form by completing the square. Complete the square by removing a GCF from 4t2 - 8t. Take the middle term and divide it in two. Add its square. Remember to subtract the square as well to maintain equality.

f(t) = 4t2 − 8t + 8

f(t) = 4(t2 - 2t) + 8                                  The middle term is -2t

f(t) = 4(t2 - 2t + 1) + 8 - 4                        -2t/2 = -1; -1^2 = 1

f(t) = 4(t-1)^2 + 4                                      Add 1 and subtract 4 since 4*1 = 4.

The vertex (1,4) means at a minimum the roller coaster is 4 meters from the ground.

  • f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
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  • f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 1 meter from the ground
  • f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 4 meters from the ground
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