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Nesterboy [21]
3 years ago
8

Differentiating ln inside a bracket

Mathematics
1 answer:
geniusboy [140]3 years ago
8 0

y=(\ln(3x+2))^3\\\frac{dy}{dx}=3\ln^2(3x+2)\cdot\frac{3}{3x+2}=9\frac{\ln^2(3x+2)}{3x+2}\\\mbox{for}\,\,3x+2>0

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A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an a
djverab [1.8K]

Answer:

Equation for area = 36 = [1/2]x[2x - 1]

Step-by-step explanation:

Given:

Area of triangle = 36 m²

Length of base = 2(Height) - 1

Find:

Equation for area

Computation:

Assume;

Height = x

Area of triangle = (1/2)(b)(h)

36 = (1/2)[2(x) - 1][x]

36 = [1/2]x[2x - 1]

Equation for area = 36 = [1/2]x[2x - 1]

3 0
2 years ago
Please halp me in the question?
xz_007 [3.2K]

Answer: a. (x-6) + 5x = 90 b. Angle One = 10° Angle Two = 80°

Step-by-step explanation:

A. Since angle 1 plus angle 2 is a right angle, then their sum is 90 degrees. The equation form angle 1 is x-6 and the equation for angle 2 is 5x, so (x-6) + 5x = 90

B. To find x,

x - 6 + 5x = 90

x + 5x = 96

6x = 96

x = 16

So, angle one = (16) - 6 = 10° and angle two = 16 * 5 = 80°

5 0
3 years ago
How many groups of 3/4 are in each of the following quantities? 11/4<br> answer as a fraction. ASAP
Rzqust [24]

Answer:

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4 0
3 years ago
The distance a race car travels is given by the equation d=v0t+12at2 where v0 is the initial speed of the race car, a is the acc
Scrat [10]

Answer:

v0 + 1/2at

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The equation for the driver's average speed s during the acceleration will be:

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Therefore, the equation will be:

v0+1/2at

7 0
3 years ago
What is the definition of mean???
Scilla [17]
Mean, in terms of math, is the total added values of all the data in a set divided by the number of data <em>in</em> the set. Make sense? If not, here' an example...

Let's say this is my data set:
1, 2, 5, 4, 3, 8, 7, 4, 6,10

To find the mean...
Step 1: Add all of them together.
1+2+5+4+3+8+7+4+6+10 is what? 50. Now that you have this number...
Step 2: Divide by the amount there are. Basically, count up all of the numbers. How many are there? There are 10. Finally...
Step 3: Divide. 50/10 is 5, so the mean of this data set would be 5. Get it? I sure hoped this helped :)
3 0
3 years ago
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