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jarptica [38.1K]
3 years ago
5

Solve for t using natural logarithms.

Mathematics
1 answer:
Deffense [45]3 years ago
3 0
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Write an equation for the line in point-slope form that passes through the given point with the given slope m.
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A textbook store sold a combined total of 294 physics and psychology textbooks in a week. The number of psychology textbooks sol
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105 psychology textbooks. 189 physics textbooks.

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a group of astronauts launched a model rocket from a platform. Its flight path is modeled by h= -4t^2+24t+13 where h is the heig
Eddi Din [679]

Answer:

6.5 seconds

Step-by-step explanation:

Keep in mind that when h=0, this is the same height for both when the model rocket takes off and lands, so when the rocket lands, time is positive. Thus:

h=-4t^2+24t+13\\\\0=-4t^2+24t+13\\\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\t=\frac{-24\pm\sqrt{24^2-4(-4)(13)}}{2(-4)}\\ \\t=\frac{-24\pm\sqrt{576+208}}{-8}\\\\t=\frac{-24\pm\sqrt{576+208}}{-8}\\\\t=\frac{-24\pm\sqrt{784}}{-8}\\\\t=\frac{-24\pm28}{-8}\\\\t=\frac{-24-28}{-8}\\ \\t=\frac{-52}{-8}\\ \\t=\frac{52}{8}\\\\t=6.5

So, the amount of seconds that the model rocket stayed above the ground since it left the platform is 6.5 seconds

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7 0
3 years ago
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Ms. wilson draws a model of the factorization of a polynomial with integer factors. her model is partially complete. a 2-column
lana [24]

The equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)

<h3>How to determine the equation of the model?</h3>

The partially completed model is given as:

    |  n

    |  n²

5   | 5n  |  40

By dividing the rows and columns, the complete model is:

    |  n    | 8

n   |  n²  |  8n

5   | 5n  |  40

Add the cells, and multiply the leading  row and columns

n² + 8n + 5n + 40 = (n + 8)(n + 5)

This gives

n² + 13n + 40 = (n + 8)(n + 5)

Hence, the equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)

Read more about polynomials at:

brainly.com/question/4142886

#SPJ4

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