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alukav5142 [94]
3 years ago
8

Lena is on her way home in her car. She has driven 21 miles so far, which is 1/3 of the way home. what is the total length of he

r drive?
Mathematics
1 answer:
mariarad [96]3 years ago
3 0
The total length of her drive is 83 miles. 

If 21 miles=1/3 of her drive, then multiply 21 by 3, to figure out 3/3 of her drive.
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D) change decimal to a fraction 0.078125.​
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Step-by-step explanation:

not sure but I think the answer is 5/64

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The table represents a proportional relationship the equation y=2/15x represents another proportional relationship. Of these two
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The number of members in an organization since the year 2000 can be represented by the function below where x represents the num
egoroff_w [7]

Given:

The number of members in an organization since the year 2000 can be represented by the function

m(x)=x^2+42x+5

where,  x represents the number of years after 2000.

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The statement  which best describes the term 5.

Solution:

We have,

m(x)=x^2+42x+5

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m(0)=(0)^2+42(0)+5

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4 0
3 years ago
What the second answer ​
Debora [2.8K]

Answer:

1. y' = 3x² / 4y²

2. y'' = 3x/8y⁵[(4y³ – 3x³)]

Step-by-step explanation:

From the question given above, the following data were obtained:

3x³ – 4y³ = 4

y' =?

y'' =?

1. Determination of y'

To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:

3x³ – 4y³ = 4

Differentiate

9x² – 12y²dy/dx = 0

Rearrange

12y²dy/dx = 9x²

Divide both side by 12y²

dy/dx = 9x² / 12y²

dy/dx = 3x² / 4y²

y' = 3x² / 4y²

2. Determination of y''

To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:

3x² / 4y²

Let:

u = 3x²

v = 4y²

Find u' and v'

u' = 6x

v' = 8ydy/dx

Applying quotient rule

y'' = [vu' – uv'] / v²

y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²

y'' = [24xy² – 24x²ydy/dx] / 16y⁴

Recall:

dy/dx = 3x² / 4y²

y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴

y'' = [24xy² – 18x⁴/y] / 16y⁴

y'' = 1/16y⁴[24xy² – 18x⁴/y]

y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]

y'' = 1/16y⁵[(24xy³ – 18x⁴)]

y'' = 6x/16y⁵[(4y³ – 3x³)]

y'' = 3x/8y⁵[(4y³ – 3x³)]

6 0
3 years ago
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