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Naya [18.7K]
3 years ago
14

40 is what percent of 160?

Mathematics
2 answers:
Setler79 [48]3 years ago
8 0

Answer:

40/100×160

Step-by-step explanation:

2/5×160

320/5

64

mash [69]3 years ago
4 0

Answer:

25

Step-by-step explanation:

percentage calculator 40 is what percent of 160=25;)

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When modeling hourly pay, which part of the equation is used to represent the<br> hourly rate?
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Evaluate the integral of the quotient of the cosine of x and the square root of the quantity 1 plus sine x, dx.
VMariaS [17]

Answer:

∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.

Step-by-step explanation:

In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.

Let u = 1 + sin(x).

This means du/dx = cos(x). This implies dx = du/cos(x).

Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.

∫((cos(x)*dx)/(√(1+sin(x)))) = ∫((cos(x)*du)/(cos(x)*√(u))) = ∫((du)/(√(u)))

= ∫(u^(-1/2) * du). Integrating:

(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.

Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:

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4 0
2 years ago
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