Help me again ahhhhhh

True or false. -5+ ( -3 +( -8) = -5 + ( - 3 + 8 )

ivanzaharov [21]

False:

-5 + -3 + (-8) = -16

-5 + -3 + 8 = 0

hope this helps

8 0

3 years ago

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Find the indefinite integral. (Use C for the constant of integration.) e2x 25 e4x dx.

Sladkaya [172]

Answer:

The solution is $\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C$

Step-by-step explanation:

From the question

The function given is $f(x) = \frac{e^{2x}}{ 25 + e^{4x}} dx$

The indefinite integral is mathematically represented as

$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx$

Now let $e^{2x} = u$

=> $\frac{du}{dx} 2e^{2x}$

=> $2 e^{2x}dx = du$

So

$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx = \int\limits {\frac{1}{ 2(25 + u^2)} } \, du$

$= \frac{1}{2} \int\limits {\frac{1}{ 25 + u^2)} } \, du$

$= \frac{1}{2} \int\limits {\frac{1}{ 5^2 + u^2)} } \, du$

$= \frac{1}{2} \frac{tan^{-1} [\frac{u}{5} ]}{5} + C$

Now substituting for u

$\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C$

3 0

3 years ago

Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?

aleksandrvk [35]

To solve this problem, we must simplify the the equation:
Here is the base equation -2m - 5m - 8 = 3 + (-7) + m (Add all like terms):

#1 -2m - 5m - 8 = 3 + (-7) + m (Property of Addition)
#2 -7m - 8 = -4 + m (Most Simplified Equation)

The answer your would be the 2nd one. -7m - 8 = m - 4

If I helped you out, please give me a gold crown. :)

3 0

3 years ago

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The deer population in a national wildlife refuge has been decreasing by 5% each year.

mestny [16]

Answer:

750 $(1-\frac{5}{100})^{n}$

Step-by-step explanation:

3 0

2 years ago

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parab

Gekata [30.6K]

We can answer the first part of the question not taking intersecting function into account. The domain of $y=-x^{2}+36$ is all the numbers, x∈(-∞, +∞) and the range is y∈(-∞, 36]. We can observe these results with the help of a graph, as well. Since we are talking about the rainbow, the values above the ground level will make sense. In this case, we will take into account the range as it changes between 0 and 36, included and the domain between -6 and 6. Here (0;36) is the y-intercept and (-6;0) and (6;0) are the x-intercepts of the parabola.

Since in our problem, the linear function that intersects parabola is not given, we have to provide it by ourselves according to the conditions of the problem. It could be any line intersecting parabola in two points. One important point is that the y-intercept has to be no more than 36. Considering these conditions, we can set our linear function to be $y=0.5x+5$ . We can observe the points that we included in the table (they have been given with orange dots in the graph and the table is attached below). We can see that the values of the function (values of y) are positive. Indeed, we are discussing the part of the rainbow above the ground level.

The system of equations with linear and quadratic functions has got two solutions and we can observe that result from the graph. The solutions are (-5.823; 2.088) and (5.323; 7.662). The solutions are the intersection points.

7 0

3 years ago