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3 years ago

Give a counterexample for the statement All square roots are irrational numbers.

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

4 0

Answer:

The square root of 4 is 2(not irrational)

The square root of 100 is 10(not irrational

Step-by-step explanation:

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Find the indefinite integral. (Use C for the constant of integration.) <br> 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 $e^{2x} = u$

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

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

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

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

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

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

Now substituting for u

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

3 0

3 years ago

Three students are playing a game using the spinner above. Each student draws three boxes on a piece of paper. The spinner is sp

harina [27]

Answer:

Probability

Step-by-step explanation:

In this game, the players rely entirely on chance to win, rather than skill. Therefore, this game would be particularly useful in helping students' understanding of probability.

(Spoken from someone who played this exact game 2 years ago to learn about probability.)

5 0

3 years ago

Maya needs $58 to go on a field trip. She has saved $18.50. She earns $6.50 per hour cleaning her neighbor's garden, and she ear

insens350 [35]

She has $18.50 so she needs $39.50.

6.50×3= 19.50

18.50+19.50= 38

5.25×4=21

38+21=59

Maya would have enough money to go on the trip.

6 0

3 years ago

Need help asap 15mins best

devlian [24]

Answer:

find the angle KCO =57+63+x=180
120+x=180
x=180-120
x=60

7 0

3 years ago

Help brainliest if right

kondor19780726 [428]

Answer:

y = 1x + 7

Step-by-step explanation:

<u>The equation formula for this scenario is y = mx + b</u>

m = slope

b = y-intercept

To find the slope, pick two points. I picked (2,9) and (4,11).

Subtract 11 from 9, you'll get 2.

Subtract 4 from 2, you'll get 2.

2/2 equals 1. The slope (m) = 1

To find the b, y-intercept, plot the points on a graph and see if the linear line across the y-intercept. For this case, the y-intercept is 7.

The equation is: y = 1x + 7

3 0

3 years ago