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DochEvi [55]
3 years ago
13

2. Write an expression to represent f (20)

Mathematics
1 answer:
Furkat [3]3 years ago
7 0

Answer:

I just learned this topic and have the same question, so I'm not sure if this right. However, I see a fellow student struggling and have to at least put in what I know. My equation was f(n) = 64(1/2)^n-1, then the question was write an expression to represent f(20).

Step-by-step explanation:

So, my answer was f(20) = 64(1/2)^19

f(20) is the number you plug into n. And because the exponent is n-1, I knew to subtract 1 from 20 to get 19.

Then I just wrote the equation out like the original expect with the numbers pluged in: f(20) = 64(1/2)^19

I hope this helps!

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PSYCHO15rus [73]

Answer:

3 3/8

Step-by-step explanation:

4          5           27

---   -   -----   =  -------  or 3 3/8

1           8           8

7 0
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There is a sales tax of $6 on an item that costs $64 before tax. The sales tax on a second item is $8.25 . How much does the sec
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5 0
3 years ago
What value of p will make the expression below a perfect square? x^2 - x + P
shutvik [7]

Answer:

p = \frac{1}{4}

Step-by-step explanation:

To make a perfect square

add ( half the coefficient of the x- term )² to x² - x, that is

x² + 2(- \frac{1}{2} )x + \frac{1}{4} with p = \frac{1}{4} , thus

x² - x = (x - \frac{1}{2} )² + \frac{1}4}

6 0
3 years ago
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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.

6 0
3 years ago
Which term fits best?
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Answer:

Slope

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3 years ago
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