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3 years ago

Write the percent as a fraction in simplest form 50%

Mathematics

1 answer:

12345 [234]3 years ago

7 0

Answer:

1/2

Step-by-step explanation:

1/2 means one half. 50% is a half of a whole. I hope I helped :)

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Integration of ∫(cos3x+3sinx)dx

Murljashka [212]

Answer:

$\boxed{\pink{\tt I = \dfrac{1}{3}sin(3x) - 3cos(x) + C}}$

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

$\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx$

Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx .
Now , Rewrite using du and u .

$\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}$

6 0

3 years ago

Find the domain and range of the function

Karolina [17]

Domain- {-2, 1, 0, 1, 2}
Range- {-2, 0, 2}

My domain is right but I don’t think my range is. I did learn this 4 years ago though so

5 0

3 years ago

What is the vertex of the quadratic function fix=(x-8)(x-2)

VikaD [51]

Answer:

Vertex: (5, -9)

Step-by-step explanation:

fix = (x-8)(x-2)

fix = x^2 - 2x - 8x + 16

fix = x^2 - 10x + 16

a = 1, b = -10, and c = 16

To find vertex:

x = -b/2a

x = -(-10)/2(1)

x = 10/2

x = 5

y = 5^2 - 10(5) + 16

y = 25 -50 + 16

y = -9

Vertex: (5, -9)

8 0

3 years ago

Each (x, y) pair above represents an excellent basketball player’s height, x, and average points per game, y. Enter the data int

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3 years ago

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QUESTION OF THE DAY: There are 5 blue M&Ms, 6 red M&Ms, 5 yellow M&Ms, 8 green M&Ms, 4 orange M&Ms, and 7 br

Nadya [2.5K]

Answer:

15/35

Step-by-step explanation:

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3 years ago