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noname [10]
3 years ago
13

Kevin is participating in a walkathon to raise money for local literacy programs. The farther Kevin walks, the more money he wil

l raise.
d = the distance Kevin walks
m = the amount of money Kevin will raise

Which of the variables is independent and which is dependent?
Mathematics
1 answer:
natali 33 [55]3 years ago
3 0
The independent variable is the distance that he walks and the dependent variable is the amount of money that he raises
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"A rectangle has a height of 5 cm and its base is increasing at a rate" of 3/2 cm/min. When its area is 60 cm2, at what rate is
sukhopar [10]

Answer:

The diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

Step-by-step explanation:

Dimensions of the rectangle

Height = 5cm

Rate of base = 3/2 cm/min

Area = 60cm^2

We know the area of a rectangle of given by = base* Height

b*h = 60

b*5 = 60

b = 12cm

Applying Pythagoras theorem while drawing a diagonal to the rectangle

  b^2 +h^2 =  D^2\\

 5^2 +12^2 = 13^2

so our diagonal will be 13cm  

Upon differentiating the area of the rectangle  we get

b*h = A=60cm^2

using  the chain rule of differentiation

h*db/dt + b*dh/dt  = 0

b*dh/dt = -h*db/dt

12*dh/dt = -5*3/2

dh/dt = -5/8 cm//min

so the height of the rectangle is decreasing at the rate of -5/8cm/min

now we have all the measurements we need

b = 12 , db/dt = 3/2cm/min

h = 5 , dh/dt = -5/8 cm/min

b^2 +h^2  = D^2

Upon differentiating we get

2b*db/dt + 2h*dh/dt = 2D*dD/dt

b*db/dt + h*dh/dt = D*dD/dt

12*3/2 + 5*(-5/8) = 13*dD/dt

18 -25/8 = 13*dD/dt

\frac{144-25}{8} = 13*dD/dt

dD/dt = \frac{119}{104} cm/min

Therefore the diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

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3 years ago
Please answer asap no trolls
Svetradugi [14.3K]

Answer:

It would probably be 15 actually

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Working with fractions, you'll need to find the least common denominator (LCD). In this case, the LCD is 20.


Rewriting the four given numbers to the LCD, you would get:

10/20, 15/20, 4/20, and 14/20.


Now, you just organize it from least to greatest as:

4/20 < 10/20 < 14/20 < 15/20.


In other words, it is:

1/5 < 1/2 < 7/10 < 3/4.


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If I have 3 oranges and I add 5 how many oranges do I have
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Answer:

you get 8 oranges

Step-by-step explanation:

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