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Semenov [28]
3 years ago
10

Andy is scuba diving. He starts at sea level and then descends 10 feet in 2 1/2 minutes. Represent Andy's descent in feet per mi

nute.
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
6 0

Answer:

4 ft/min

Step-by-step explanation:

I'm sorry no one has helped you in 40 minutes, so let me.

Theres a fun trick when it comes to saying something 'per' something;

as you can look at the word per as a fancy word for divide.

So if I have Xylophones per Megaphone then I'm basically saying:

Xylophones divided by megaphones

So in this case its 10 feet per 2 1/2 minutes and we'd understand it as 10/2.5

Lets show this

10 ft per 2 1/2 minutes = 10/2.5 ft/min = 4 ft/min

Hope this helps :)

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find the values for c and d that make the function differentiable:f(x) = 5x^2 + c if x = or < than 3dx^2 - 3 if x > 3
daser333 [38]

9514 1404 393

Answer:

  c = -3; d = 5

Step-by-step explanation:

The function is differentiable if it is continuous and the derivative is continuous.

This function will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...

  5(3^2) +c = 45 +c

From the right, the limit is ...

  d(3^2) -3 = 9d -3

__

The derivative will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...

  f'(x) = 10x

  = 10(3) = 30

From the right, the limit is ...

  f'(x) = 2dx

  = 2d(3) = 6d

__

This gives us a pair of simultaneous equations in 'c' and 'd':

  45 +c = 9d -3

  6d = 30

The latter tells us d = 5. Then the former tells us ...

  45 +c = 9(5) -3   ⇒   c = -3

The function is differentiable if c = -3 and d = 5.

_____

<em>Additional comment</em>

With these values, the function becomes ...

  f(x)=\begin{cases}5x^2-3&\text{if }x\le 3\\5x^2-3&\text{if }x>3\end{cases}

4 0
2 years ago
URGENT URGENT HELP In what direction and by how many units is the graph of f(x) = 6 sin(2x + π) − 5 vertically and horizontally
iris [78.8K]
<span>A. Down 5, Left pi/2</span>
4 0
3 years ago
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GuDViN [60]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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What value of x satisfies
LenaWriter [7]

Answer:

See explanation

Step-by-step explanation:

The given trigonometric equation is cos(90-x)=-\frac{\sqrt{3} }{3}.

We take the inverse cosine of both sides to get:

90-x=cos^{-1}(-\frac{\sqrt{3} }{3})

90-x=125

x=125-90

x=-35\degree=325\degree to the nearest degree

None of the options satisfies the given equation.

But if the question is actually;

cos(90-x)=-\frac{\sqrt{3} }{2}

Then;

90-x=\cos^{-1}(-\frac{\sqrt{3} }{2}).

90-x=210.

90-x=210.

x=-120\degree.

Or

x=360-120=240\degree.

In this case the answer will be B

5 0
3 years ago
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Mark has a yard in the shape shown the area of his yard is 100 square meters the bottom side (base) is 20 meters what is the dis
vesna_86 [32]

Answer:

5 meters

Step-by-step explanation:

because 100 meters divided by the base equals the Height so 100 divided by 20 = 5

4 0
2 years ago
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