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balandron [24]
3 years ago
7

A leaky pool loses 2 1/4 inches of water each day. Jermaine and Mildred are asked to determine the change in the amount of water

in the pool over 5 days.
Mildred’s Solution
5 (-2 1/4)
5(-2- 1/4)
-10-5/4
-11 1/4
Mathematics
2 answers:
likoan [24]3 years ago
5 0
The answer would be the top one, since 2.25 inches of water are lost over 5 days.
vaieri [72.5K]3 years ago
3 0

Answer: 5(-2 1/4)

Step-by-step explanation: When somethig is being taken away, it's represented as a negative number. The number needs to be displayed throug 5 days, so A would be correct. To check, a negative times a postive is a negative, and 5 times -2 1/4 is -11 1/4.

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The output y and input x of a device are related by y = x + 1.4x3 . (a) Find the values of the output for steady-state operation
erma4kov [3.2K]

Answer:

a) y(1) = 2.4 , y(2) = 13.2, b) y(x) = 2.4 + 5.2\cdot (x-1), y(1) = 2.4, y(2) = 7.6

Step-by-step explanation:

a) The values of the output for steady-state operation are:

y(1) = 1 + 1.4\cdot (1)^{3}

y(1) = 2.4

y(2) = 2 + 1.4\cdot (2)^{3}

y(2) = 13.2

b) The formula for linearization is:

y(x) = y(1) +\frac{dy}{dx}|_{x = 1} \cdot (x-1)

The first derivative of the formula evaluated at x = 1 is:

\frac{dy}{dx}|_{x=1} = 1 + 4.2\cdot (1)^{2}

\frac{dy}{dx}|_{x=1} = 5.2

The linearized model is:

y(x) = 2.4 + 5.2\cdot (x-1)

The output at x = 2 is presented below:

y(2) = 2.4 + 5.2\cdot (2-1)

y(2) = 7.6

Linearized model offers reasonable approximations for small intervals.

5 0
3 years ago
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The answer would be C
2x + 9 = 21
1. 2x = 12
2. x = 6
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Answer:

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Step-by-step explanation:

=5.5%

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=55/1000

=55/5

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