Tonya said that the fraction 10/12 was in simplest form. Do you agree? Why or why not?

Mathematics

2 answers:

lawyer [7]3 years ago

8 0

Answer:

Tonya could present the new policy to the staff face-to-face. By using this method, she can make use of slideshow presentations or any other visual aid to get the point across. She can also hear feedback and questions for clarifications immediately since she is personally introducing the policy to the staff.

Step-by-step explanation:

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Zarrin [17]3 years ago

7 0

Answer:

Step-by-step explanation:

You can reduce the fraction by dividing by 2. If you divide by 2, then you will get 5/6 which is more reduced than 10/12.

Hope this helps plz mark brainliest if correct :D

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A. Evaluate ∫20 tan 2x sec^2 2x dx using the substitution u = tan 2x.

irakobra [83]

Answer:

The integral is equal to $5\sec^2(2x)+C$ for an arbitrary constant C.

Step-by-step explanation:

a) If $u=\tan(2x)$ then $du=2\sec^2(2x)dx$ so the integral becomes $\int 20\tan(2x)\sec^2(2x)dx=\int 10\tan(2x) (2\sec^2(2x))dx=\int 10udu=\frac{u^2}{2}+C=10(\int udu)=10(\frac{u^2}{2}+C)=5\tan^2(2x)+C$ . (the constant of integration is actually 5C, but this doesn't affect the result when taking derivatives, so we still denote it by C)

b) In this case $u=\sec(2x)$ hence $du=2\tan(2x)\sec(2x)dx$ . We rewrite the integral as $\int 20\tan(2x)\sec^2(2x)dx=\int 10\sec(2x) (2\tan(2x)\sec(2x))dx=\int 10udu=5\frac{u^2}{2}+C=5\sec^2(2x)+C$ .

c) We use the trigonometric identity $\tan(2x)^2+1=\sec(2x)^2$ is part b). The value of the integral is $5\sec^2(2x)+C=5(\tan^2(2x)+1)+C=5\tan^2(2x)+5+C=5\tan^2(2x)+C$ . which coincides with part a)

Note that we just replaced 5+C by C. This is because we are asked for an indefinite integral. Each value of C defines a unique antiderivative, but we are not interested in specific values of C as this integral is the family of all antiderivatives. Part a) and b) don't coincide for specific values of C (they would if we were working with a definite integral), but they do represent the same family of functions.

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3 years ago

if f(x)=3/x+2-sqrtx-3 complete the following statement. The domain for f(x) is all real numbers___ than or equal to 3

Stolb23 [73]

The domain of the function is the set of all the values of x that would allow the function to have real values. Since the radicand is x - 3, the value of x cannot be less than 3 because that would make the value of sqrt (x - 3) an imaginary number. Thus, the domain should be all numbers GREATER than or equal to 3.

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4 years ago

Hey uhm can someone answer this for 12 points

MAXImum [283]

$\frac{0.2x - 3.2}{5} = 1.8 \\ 0.2x - 3.2 = 1.8 \times 5 \\ 0.2x - 3.2 = 9 \\ 0.2x = 9 + 3.2 \\ 0.2x = 12.2 \\ x = \frac{12.2}{0.2} \\ \boxed{ x = 61}$