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DIA [1.3K]
4 years ago
6

10 POINTS!!! FULL ANSWER WITH FULL STEP BY STEP SOLUTION PLEASE. DO BOTH PARTS OF 3 AND ALL OF 4.

Mathematics
2 answers:
Temka [501]4 years ago
6 0
See the attached picture for the answers:

Molodets [167]4 years ago
4 0
3. Recognize that log(x) = ln(x)/ln(10)

3a) (d/dx)(ln(x)/(ln(x)/ln(10)) = (d/dx)(ln(10)) = 0

3b) (d/dx)(ln(log(x)) = (d/dx)(ln(ln(x)/ln(10))) = (d/dx)(ln(ln(x)) -ln(1/ln(10)))
.. = (d/dx)(ln(ln(x))) . . . . . . . . simplified form
.. = (1/ln(x))*(d/dx)(ln(x))
.. = 1/(x*ln(x))


4. y' = 1/x
.. y'' = -1/x^2
.. y''' = 2/x^3
.. yⁿ = -(n-1)!*(-1/x)ⁿ
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Find the product : 2p (4p² + 5p + 7)
Ber [7]
<h3>Answer: 8p^3 + 10p^2 + 14p</h3>

Explanation:

The outer term 2p is distributed among the three terms inside the parenthesis. We will multiply 2p by each term inside

2p times 4p^2 = 2*4*p*p^2 = 8p^3

2p times 5p = 2*5*p*p = 10p^2

2p times 7 = 2*7p = 14p

The results 8p^3, 10p^2 and 14p are added up to get the final answer shown above. We do not have any like terms to combine, so we leave it as is.

6 0
3 years ago
11154 ÷ 52. Express the remainder as a fraction in the lowest terms
Andrew [12]
11154/52= 214 1/2 is the answer to this question
5 0
3 years ago
Please help me I don't understand this at all
saveliy_v [14]

Answer:

a) θ = \frac{4}{3}\pi     b) r = 31.27 inch

Step-by-step explanation:

(a)

area of sector: \frac{1}{2} * r² * θ

384 = \frac{1}{2} * r² * θ

384 = \frac{1}{2} * (24)² * θ

θ = 384/288

θ = \frac{4}{3}\pi

(b)

384 = \frac{1}{2} * r² * \frac{\pi }{4}

r² = 384 * 2 * \frac{4}{\pi }

r² = 977.848

r = √977.848

r = 31.27 inch

6 0
3 years ago
A student was required to multiply a number by 4 and add 6 to it. Instead he added 6 to it first and then multiplied by 4. What
GalinKa [24]

Answer:

The correct answer is 18

the correct expression is (4n+6)

Step-by-step explanation:

let the number be n

therefore  if he is required to multiply n by 4 and added to 6 we have

(4n+6)= 0-----1

given that he did otherwise by adding 6 to n and multiply by 4 we have

(n+6)4= 36------2

Firstly we need to solve for n in equation 2

4n+24= 36\\4n= 36-24\\4n= 12\\

Dividing both sides by 4 we have

n= \frac{12}{4\\}\\n= 3

In order to solve for the correct answer let us input n=3 in equation 1 we have

=(4n+6)= 0-------1\\=(4*3+6)= 0\\=(12+6)=0\\= 18

7 0
3 years ago
A plant cell has a length of 0.000085 meters. Which is this length written in scientific notation?
Dmitrij [34]
The length written in scientific notation is 85 x 10^-6
5 0
3 years ago
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