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salantis [7]
3 years ago
14

Charles and his friends started a community group in 2008 to address problems in their neighborhood and to host civic events.

Mathematics
1 answer:
Nikitich [7]3 years ago
5 0

Answer:

D. The function indicates that the group began with 40 members and is increasing in size.

Step-by-step explanation:

The graph shows that on the y-axis, which starts with 40, the values of the members are increasing in size. The line is going up and not down so it's increasing.

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Cedric can swim a lap in 23 and 3/5 seconds. Jason can swim a lap in21.4 seconds. How much faster can Jason swim in a lap than C
Setler79 [48]
Jason swims 2.2 seconds faster than cedric
6 0
2 years ago
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The first derivative of x^2+2y^2=16 is -x/(2y), the second is -(2y^2+x^2)/(4y^3). Find the third implicit derivative of x^2+2y^2
gtnhenbr [62]

Answer:

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

Step-by-step explanation:

d²y/dx² = (-2y² − x²) / (4y³)

Take the derivative (use quotient rule and chain rule):

d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²

d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)

d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)

d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)

d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)

Substitute:

d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)

d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

8 0
3 years ago
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Why is x = 4 a solution to the proportion StartFraction 14 over x EndFraction = StartFraction 56 over 16 EndFraction?
mamaluj [8]

Answer:

D <u><em>Because if you substitute 4 into the equation for x and cross multiply, you get 224 = 224.</em></u>

Step-by-step explanation:

When you cross multiply, you get 14×16=224, and 224÷4=56.

6 0
3 years ago
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At what value of x does the graph of the following function F(x) have a
tankabanditka [31]

Given:

The function is

F(x)=\dfrac{1}{x+2}

To find:

The vertical asymptote of the given function.

Solution:

Vertical asymptote are the vertical line passes thought the values for which the function is not defined.

To find the vertical asymptote, equate the denominator equal to 0.

We have,

F(x)=\dfrac{1}{x+2}

Denominator is (x+2).

x+2=0

x=-2

The vertical asymptote is x=-2.

Therefore, the correct option is B.

8 0
2 years ago
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michael borrowed $4,500 from the bank. the back charged a simple interest rate of 10.5% for the 3 years he had the back loan. wh
elixir [45]

Answer:

$1417.50+$4500= 5917.50

4 0
3 years ago
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