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Leno4ka [110]
3 years ago
11

Use the graph to evaluate each expression.

Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer:

I pretty sure the answer is C

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If the right side of the equation dy dx = f(x, y) can be expressed as a function of the ratio y/x only, then the equation is sai
melomori [17]

Answer:

 y = x*sqrt(Cx - 1)

Step-by-step explanation:

Given:

                                  dy / dx = (x^2 + 5y^2) / 2xy

Find:

Solve the given ODE by using appropriate substitution.

Solution:

- Rewrite the given ODE:

                               dy/dx = 0.5(x/y) + 2.5(y/x)

- use substitution y = x*v(x)

                               dy/dx = v + x*dv/dx

- Combine the two equations:

                                v + x*dv/dx = 0.5*(1/v) + 2.5*v

                                x*dv/dx = 0.5*(1/v) + 1.5*v

                                x*dv/dx = (v^2 + 1) / 2v

-Separate variables:

                                 (2v.dv / (v^2 + 1) = dx / x  

- Integrate both sides:

                                 Ln (v^2 + 1) = Ln(x) + C

                                 v^2 + 1 = Cx

                                 v = sqrt(Cx - 1)

- Back substitution:

                                (y/x) = sqrt(Cx - 1)

                               y = x*sqrt(Cx - 1)

                         

3 0
3 years ago
ZABC and ZDEF are complementary angles.
Marat540 [252]

Answer:

x = 36

Step-by-step explanation:

Complementary angles add to 90 degrees

54+x = 90

x = 90-54

x = 36

4 0
2 years ago
Read 2 more answers
Which graph represents x
Maurinko [17]
The answer is the second graph.

\frac{x}{3} \leq 2
You need to isolate x, in order to do this you need to multiply both sides by 3, or 3/1
2*3 = 6
x/3 * 3 = x
Your equation should now be
x \leq 6 

So the circle should be filled in and pointing towards the left starting from 6
4 0
3 years ago
Read 2 more answers
each time kim pour water from a jug into a glass, exactly 10% of the water remaining in the jug is used. What is the minimum num
Gnoma [55]

The <em><u>correct answer</u></em> is:

At least 7 times.

Explanation:

Since 10% of the water in the jug is removed each time, this means that 100-10=90% of the water remains.

After two times, we would have 0.9(0.9) = 0.81 = 81% of the water; each time she pours, the number of times 0.9 is multiplied by itself changes.  This makes this an exponential inequality (it is not an equation, as we want "less than half of the water"):

0.5 < 0.9^x

To solve this, we will use logarithms:

\log_{0.9}(0.5)

4 0
3 years ago
What is the reciprocal of -2 2/3
BaLLatris [955]

Answer:

-3/8

Step-by-step explanation:

First rewrite -2 2/3 as an improper fraction:  -8/3

Now invert this result:  -3/8

This is the reciprocal of -2 2/3.

3 0
2 years ago
Read 2 more answers
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