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Sedaia [141]
3 years ago
15

Solve the compound inequality. 3x + 1 <4 or 9x > 31

Mathematics
1 answer:
WINSTONCH [101]3 years ago
7 0

Answer:

Step-by-step explanation:

3x < 4 - 1   or x > 31/9

3x < 3 or x > 31/9

x < 1  or x > 31/9

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During a scuba dive, Lainey descended to a point 29 feet below the ocean surface. She continued her descent at a rate of 29 feet
Alex73 [517]

Answer:

Her initial position was:

-29ft

Where we use the minus sign because this is below the ocean's surface.

Now we also know that she keeps descending at a rate of -29ft per minute, then if she keeps descending for t minutes, her position will be:

P(x) = -29ft - 29ft/min*t

Now, we also know that she does not want to descend more than 81ft below the ocean's surface, then we have the inequality:

P(x) ≥ -81ft

-29ft - 29ft/min*t ≥ -81ft

Now let's isolate t in one side:

- 29ft/min*t ≥ -81ft + 29ft = -52 ft

- 29ft/min*t ≥-52 ft

                t ≤ -52ft/(- 29ft/min) = 1.79 min

Then the maximum amount of time that she can keep descending is 1.79 minutes.

6 0
3 years ago
How much sales tax would you pay on a dirt bike that cost $215 with a 5.3%<br> sales tax?
Archy [21]

Answer:

11.40

Step-by-step explanation:

215×0.053=11.395 rounded up to $11.40

7 0
3 years ago
I NEED HELP PLEASE!!!
miskamm [114]

Answer:

hardhard

Step-by-step explanation:

3 0
3 years ago
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maria [59]
The answer is 5. 
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6 0
3 years ago
Read 2 more answers
Evaluate the trigonometric ratio​
vfiekz [6]

Answer:

1

Step-by-step explanation:

Given \lim_{x \to 0} \frac{sinxcosx}{x}

multiply the numerator and denominator with 2

we get \lim_{x \to 0} \frac{2sinxcosx}{2x}

We know that sin2x=2sinxcosx

\lim_{x \to0} \frac{sin2x}{2x}

Now consider y=2x

As x→0 2x→0 y→0

Now limit changes to

\lim_{y \to0} \frac{siny}{y}=1

8 0
3 years ago
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