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I am Lyosha [343]
3 years ago
13

∫ 5cos(x) - 2sec²(x) dx

Mathematics
1 answer:
daser333 [38]3 years ago
5 0
\bf \displaystyle \int [5cos(x) - 2sec^2(x)]dx\implies 5\int cos(x)dx~-~2\int sec^2(x)dx
\\\\\\
5sin(x)-2tan(x)+C
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Find three numbers such that their sum is 12, the sum of the first, twice the second, and three times the third is 31, and the s
Tpy6a [65]

Answer:

a = 3, b = -1, c = 10

Step-by-step explanation:

Let the three numbers be a, b and c.

Equation 1: a + b + c = 12

Equation 2: a + 2b + 3c = 31

Equation 3: 9b + c = 1

Equation 2 - Equation 1:

Equation 4: b + 2c = 19

Equation 3 times by the number 2

Equation 5: 18b + 2c = 2

Equation 5 - Equation 4

17b = -17

b = -1

Substitute into Equation 4:

2c - 1 = 19

2c = 20

c = 10

Substitute into Equation 1:

a + b + c = 12

a - 1 + 10 = 12

a = 3

8 0
3 years ago
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A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?
Butoxors [25]

The number of combinations will be 6 for even numbers.

<h3>What is the combination?</h3>

The arrangement of the different things or numbers in a number of ways is called the combination.

Given that:-

  • A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?

The total sample numbers are from 0 to 5 which are 0,1,2,3,4,5.

The even numbers are 0,2,4.

The combinations will be given by:-

C = 3!

C = 3 x 2 x1

C = 6

Therefore the number of combinations will be 6 for even numbers.

To know more about Combinations follow

brainly.com/question/295961

#SPJ1

3 0
2 years ago
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11111nata11111 [884]

Answer:

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7 0
3 years ago
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Julie’s cell phone is 9 centimeters long. How many millimeters long is her cell phone
evablogger [386]
The answer is 90, there is 10 millimeters in 1 centimeter! So, if there is 9 centimeters, there will then be 90 millimeters!

Ps: I had my question up but someone reported it since I added a picture that would help you! :( 

Hope this does help though! You can always do the jumping trick with meters! That's how I learned :) 

5 0
3 years ago
1. 0 f the 320 eighth
Kay [80]

Answer:

There are 208 male students in the eight grade.

Step-by-step explanation:

320 students all together - 35% female students= 208 male students

3 0
3 years ago
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