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sleet_krkn [62]
3 years ago
6

Find the measure of the arc or angle indicated

Mathematics
1 answer:
mr_godi [17]3 years ago
6 0

Answer:

b

Step-by-step explanation:

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
wlad13 [49]

Answer:

\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

f(x)=\frac{u(x)}{v(x)}\\, the derivative is express as

\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }

from y=lnx/x^{2}

we assign u(x)=lnx and v(x)=x^2

and the derivatives

\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\.

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e y=lnx\\\frac{dy}{dx}=\frac{1}{x}

If we substitute values into the quotient expression we arrive at

\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}

8 0
3 years ago
What inequality is shown by the graph?
Gwar [14]

Step-by-step explanation:

2x - 10y > -20

=> x - 5y > -10

or x - 5y +10 > 0

4 0
3 years ago
Which solution set describes the set of real numbers less than or equal to -1
Igoryamba
Easy just do the negitive numbers and then try to add to the greates number 
8 0
3 years ago
A rectangular fish tank has a base that is 8 inches by 7 inches. How much water will it take to fill the tank to a depth of 5 in
Blizzard [7]
V=LWH
L=8
W=7
H=5

V=8*7*5=280 in^3

you need 280 in^3 of water
5 0
3 years ago
Jim, Carla and Tomy are members of the same family. Carla is 5 years older than Jim. Tomy is 6 years older than Carla. The sum o
Blizzard [7]

We are given these three people age below:

  • Jim's age
  • Carla's age
  • Tomy's age

We define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.

  • Jim's age = x

Next, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.

  • Carla's age = x+5

Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).

  • Tomy's age = 6+(x+5)

The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.

\large{x + x + 5 + 6 + x + 5 = 31}

Combine like terms and solve for x.

\large{3x + 16 = 31}  \\  \large{3x = 31 - 16} \\  \large{3x = 15} \\  \large{x = 5}

Then we substitute the value of x in ages to find these three people ages.

  • Jim's age = x = 5
  • Carla's age = x+5 = 5+5 = 10
  • Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.

Answer

  • Jim's age = 5
  • Carla's age = 10
  • Tomy's age = 16
4 0
3 years ago
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