Hello,
h=k*w/p; if w=4,and p=6 then h=2
2=k*4/6==>k=2*6/4==>k=3
ANswer C
A quadratic function is given by y = ax^2 + bx + c
c(2) = a(2)^2 + 2b + c = 45
4a + 2b + c = 45 . . . (1)
c(4) = a(4)^2 + 4b + c = 143
16a + 4b + c = 143 . . . (2)
c(10) = a(10)^2 + 10b + c = 869
100a + 10b + c = 869 . . . (3)
Solving (1), (2) and (3) gives a = 9, b = -5, c = 19
Therefore, c(x) = 9x^2 - 5x + 19
c(7) = 9(7)^2 - 5(7) + 19 = 9(49) - 35 + 19 = 441 - 16 = 425
Therefore, it costs $425 to produce 7 calculators.
Distance Firework B would have traveled after 0.25 seconds:
240 x 0.25 = 60 feet
Let x be the time that it will explode together:
60 + 240x = 340x
100x = 60
x = 60 ÷ 100
x = 0.6 sec
Firework A will explode at 0.6 seconds after it is launched
Firework B will explode at (0.6 + 0.25) 0.85 seconds after it is launched.
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Answer: Firework B will explode at 0.85 seconds after it is launched.
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Given:
Miguel's height:
Actual = 5 feet 10 inches
Shadow = 4 feet 2 inches
Tower's height
Actual = x
Shadow = 8 feet 9 inches
First, we need to convert the height into inches to avoid confusion.
1 foot = 12 inches.
Miguel:
5 ft x 12in/ft = 60 inches + 10 inches = 70 inches ACTUAL
4 ft x 12in/ft = 48 inches + 2 inches = 50 inches SHADOW
Tower:
8 ft x 12in/ft = 96 inches + 9 inches = 105 inches SHADOW
Ratio of Actual to shadow:
Miguel: 70 : 50
Tower: x : 105
70 : 50 = x : 105
70*105 = 50x
7350 = 50x
7350 / 50 = x
147 = x
Actual height of the tower is 147 inches or 12 feet 3 inches long.
To check:
Miguel : 70 / 50 = 1.40
Tower : 147 / 105 = 1.40
Answer:
Lose $0.05
Step-by-step explanation:
There are 38 possible spots on the roulette wheel (numbers 1 to 36, 0 and 00).
If the player can choose four numbers on single $1 bet, his chances of winning (W) and losing (L) are as follows:
The expected value of the bet is given by the probability of winning multiplied by the payout ($8), minus the probability of losing multiplied by the bet cost ($1)
On each bet, the player is expected to lose 5 cents ($0.05).
