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IRINA_888 [86]
2 years ago
13

What is the product of (5−6i)(2−3i)

Mathematics
1 answer:
Lady_Fox [76]2 years ago
3 0

Answer:Multiply using the FOIL method, then combine the real and imaginary parts of the expression.

−

28+3i

Step-by-step explanation:

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Liam has to fill a hole in the ground that is 24 inches deep. He fills the hole at a rate of 6 inches in 30 minutes. Write a fun
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Answer:

The function that models the depth of the hole in feet over time in hours is h(t) = 24 - 12\cdot t.

Step-by-step explanation:

According to the statement, the variable to be modelled is the depth of the hole, which decreases whereas is filled. Under the assumption that the hole is filled at constant rate, we obtain the following expression:

h(t) = h_{o}-\frac{\Delta h}{\Delta t}\cdot t (1)

Where:

h(t) - Current depth of the hole, measured in inches.

h_{o} - Initial depth of the hole, measured in inches.

\Delta h - Filled level, measured in inches.

\Delta t - Filling time, measured in hours.

t - Time, measured in hours.

If we know that h_{o} = 24\,in, \Delta h = 6\,in and \Delta t = 0.5\,h, then the function that models the depth of the hole is:

h(t) = 24 - 12\cdot t

The function that models the depth of the hole in feet over time in hours is h(t) = 24 - 12\cdot t.

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