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Dennis_Churaev [7]
3 years ago
13

Plz help this question was answered by two people with two different opinions and even worse they both got rated five stars by e

veryone ;-; idk which one is correct so yeah...
Richard simplified an expression in three steps, as shown below:
Which is the first incorrect step and why?
Step 1: all the exponents are multiplied by 3
Step 2: the exponents in the denominator are multiplied
Step 3: the exponents of the same base are subtracted during division
Step 3: the exponents of the same base are added during division

Mathematics
1 answer:
ololo11 [35]3 years ago
3 0

Answer:

smh

Step-by-step explanation:


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Evaluate the integral using the indicated trigonometric substitution. (use c for the constant of integration.) x^3 / sqrt x^2 +
slava [35]
\displaystyle\int\frac{x^3}{\sqrt{x^2+49}}\,\mathrm dx

Taking x=7\tan\theta gives \mathrm dx=7\sec^2\theta\,\mathrm d\theta, so that the integral becomes

\displaystyle\int\frac{(7\tan\theta)^3}{\sqrt{(7\tan\theta)^2+49}}(7\sec^2\theta)\,\mathrm d\theta
=\displaystyle7^4\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{49\tan^2\theta+49}}\,\mathrm d\theta
=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\tan^2\theta+1}}\,\mathrm d\theta
=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\sec^2\theta}}\,\mathrm d\theta
=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{|\sec\theta|}\,\mathrm d\theta

When \sec\theta>0, we have

=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sec\theta}\,\mathrm d\theta
=\displaystyle7^3\int\tan^3\theta\sec^2\theta\,\mathrm d\theta

and from here we can substitute u=\tan\theta to proceed from here.

Quick note: When we set x=7\tan\theta, we are implicitly enforcing -\dfrac\pi2 just so that the substitution can be undone later via \theta=\tan^{-1}\dfrac x7. But note that over this domain, we automatically guarantee that \sec\theta>0, so the absolute value bars can be dropped immediately.
6 0
3 years ago
Express 5 as a percentage of 4​
Julli [10]

Answer:

5 is 125% of 4

because 100/4=25% per one

5-4=1

so that means 100% +1 part(25%)= 125%

Step-by-step explanation:

8 0
3 years ago
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Help please this is for inequality math!! n + 7 < - 3
stealth61 [152]

Answer:

n < -10

Step-by-step explanation:

n+7 < -3

subtract 7 from both sides

n+7-7 < -3-7

n < -10

4 0
3 years ago
In a study of brand recognition, 795 consumers knew of Amazon, and 10 did not. Use these results to estimate the probability tha
Rzqust [24]

Answer:

The probability that a randomly selected consumer will recognize Amazon is 0.988.

Step-by-step explanation:

The data given in the question is

Total number of consumers = 795 + 10 = 805

Consumers who knew of Amazon = 795

Consumers who did not know of Amazon = 10

The formula for calculating probability of an event A is:

P(A) = No. of favourable outcomes/Total no. of possible outcomes

P(Recognize Amazon) = No. of Consumers who knew Amazon/Total no. of consumers

P(Recognize Amazon) = 795/805

                                     = 0.98757

P(Recognize Amazon) ≅ 0.988

The probability that a randomly selected consumer will recognize Amazon is 0.988.

7 0
3 years ago
First method: Multiply the equation for bouquet A by , and add it to the equation for bouquet C. Then multiply the equation for
irina [24]

Answer:

looking at anwser now

Step-by-step explanation:

4 0
3 years ago
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