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3 years ago

Differentiate \[\ln \sin^2 x\]

1 answer:

7 0

Y = ln {[sin(x)]^2}

use the chain rule

y' = 1 /[sin(x)]^2 * 2sin(x)*cos(x) = 2cos(x) / sin(x) = 2 cot(x)

Answer: 2 cot(x)

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Simplify and solve each equation for the x

Olegator [25]

Answer:

19y - 7y = 1 + 4(x+2x)

y = 1/12 + x

x = y - 1/12

I hope this helps!

8 0

3 years ago

In a certain Algebra 2 class of 27 students, 18 of them play basketball and 16

Bogdan [553]

Answer:

<em>The probability is 0.89 or 89%</em>

Step-by-step explanation:

<u>Probability</u>

There are n=27 students in a certain Algebra 2 class. 18 out of them play basketball and 16 of them play baseball.

We also know 3 students play neither sport. This leaves 27-3=24 students playing sports.

The probability that a randomly chosen student plays basketball or baseball is:

$\displastyle p=\frac{24}{27}$

Simplifying:

$\displastyle p=\frac{8}{9}=0.89$

The probability is 0.89 or 89%

6 0

3 years ago

Tomas makes a balloon sculptures at a circus. In 180 minutes, he uses 253 balloons to make 36 identical balloon sculptures.

Kipish [7]

$180\ minutes\ \ \ \rightarrow\ \ \ 252\ balloons\\\\1\ minute\ \ \ \rightarrow\ \ \ x\ balloons\\\\x\cdot 180=1\cdot 252\ \ \ \Rightarrow\ \ \ x= \frac{252}{180}= \frac{36\cdot7}{36\cdot5} = \frac{7}{5} =1.4\\\\Ans.\ \ 1.4\ balloons\ per\ one\ minute.\\\\-----------------\\\\ 1\ minute\ \ \ \rightarrow\ \ \ 1.4\ balloons\\\\10\ minutes\ \ \ \rightarrow\ \ \ x\ balloons\\\\x\cdot 1=10\cdot1.4\\\\x=14\\\\Ans.\ \ 14\ balloons\ per\ 10\ minutes.$

7 0

3 years ago

Pls help pls help pls help

Volgvan

Answer:

A. y=1-2x

Step-by-step explanation:

-1 =1-2(1)

-1= 1-2

-1=-1

-3=1-2(2)

-3=1-4

-3=-3

-5=1-2(3)

-5=1-6

-5=-5

-7=1-2(4)

-7=1-8

-7=-7

5 0

3 years ago

What is the area of the drawing of the trophy shown?

katovenus [111]

There is no picture to look at

6 0

3 years ago