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Inessa05 [86]
2 years ago
8

A rock is thrown into a pool 72 inches deep. The rock sinks at a rate of 4 inches per

Mathematics
1 answer:
Gnesinka [82]2 years ago
7 0

Half of 72 is 36. If you divided 36 by 4, you would get 9. So, s = 9 and means that it takes 9 seconds for the rock to be sunk half way.

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During a film festival, the first film ticket is priced at $16, and each additional ticket is $11. if Rico spends $71, then how
Varvara68 [4.7K]
Total 6 tickets .................:P
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What is the expression?
Klio2033 [76]

Answer:

F=1.8C+32

113°F

Step-by-step explanation:

F=1.8C+32

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A rectangle has its base on the x axis and its upper two vertices on the parabola y = 9 − x2. (a) Draw a graph of this problem.
gtnhenbr [62]

Answer:

  • (a) see attached
  • (b) width: 2x; height: y = 9-x²
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Step-by-step explanation:

(a) The attachment shows the graph of the parabola in blue. It also shows an inscribed rectangle in black.

(b) The upper right point of the rectangle is shown in the attachment as (x, y). The dimension y is the height of the rectangle. The x-dimension is half the width of the rectangle, which is symmetrical about the y-axis. Hence the width is 2x.

(c) As with any rectangle, the area is the product of length and width:

... A = (2x)(9 -x²) . . . . . the attachment shows a graph of this

... A = -2x³ +18x . . . . . expanded form suitable for differentiation

A suitable domain for A is where both x and A are non-negative: 0 ≤ x ≤ 3.

(d) The derivative of A with respect to x is ...

... A' = -6x² +18

This is defined everywhere, so the critical values will be where A' = 0.

... 0 = -6x² +18

... 3 = x² . . . . . . . divide by -6, add 3

... √3 = x . . . . . . . -√3 is also a solution, but is not in the domain of A

(e) The rectangle will have its largest area where x=√3. That area is ...

... A = 2x(9 -x²) = 2√3(9 -(√3)²) = 2√3(6)

... A = 12√3 . . . . square units . . . . ≈ 20.785 units²

7 0
3 years ago
How do you solve this?
oksian1 [2.3K]

Answer:

X=73/7

Step-by-step explanation:

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It would be $947.50 because you would multiply $189.50 by 0.05.
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