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EastWind [94]
3 years ago
6

Find the 10th term in the arithmetic sequence -2, -5, -8, -11

Mathematics
2 answers:
Kobotan [32]3 years ago
6 0
The answer keeps on going lower. So the answer is -29.
lara31 [8.8K]3 years ago
5 0
The answer is -29, hope this helps 

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Step-by-step explanation:

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The angles a is equal 61°
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Find the general solution of the following equation. Express the solution explicitly as a function of the independent variable.
Mashcka [7]

Answer:

Therefore the general solution is

2 \sqrt w = 2 ln(x) - 5 \frac1x +c

Step-by-step explanation:

Integration Rule:

  1. \int x^n dx= \frac{x^{n+1}}{n+1}+c
  2. \int \frac1x dx= ln(x) +c

Given differential equation is

x^2 \frac{dw}{dx}= \sqrt{w}(2x+5)

\Rightarrow x^2 dw= \sqrt{w} (2x+5) dx    [ multiplying dx both sides]

\Rightarrow \frac{dw}{\sqrt w}= \frac{(2x+5)}{x^2} dx                [ dividing x^2\sqrt w both sides]

Integrating both sides

\int \frac{dw}{\sqrt w}=\int \frac{(2x+5)}{x^2} dx

\Rightarrow \int w^{-\frac12} dw=\int (\frac{2x}{x^2}+\frac{5}{x^2} )dx

\Rightarrow \int w^{-\frac12} dw=\int \frac{2}{x}dx +\int\frac{5}{x^2} dx

\Rightarrow \frac{w^{-\frac12+1}}{-\frac12+1} =2ln x+5 \frac{x^{-2+1}}{-2+1}+c   [ c is arbitrary constant]

\Rightarrow 2 \sqrt w = 2 ln(x) - 5 \frac1x +c

Therefore the general solution is

2 \sqrt w = 2 ln(x) - 5 \frac1x +c

6 0
3 years ago
A coffee stand sells cups of coffee for $6 and cups of tea for $3 . Tuesday, a total of 75 cups were sold, and the total money c
gtnhenbr [62]
C + t = 75......c = 75 - t
6c + 3t = 312

6(75 - t) + 3t = 312
450 - 6t + 3t = 312
-6t + 3t = 312 - 450
-3t = - 138
t = -138/-3
t = 46 <=== 46 cups of tea were sold

c = 75 - t
c = 75 - 46
c = 29 <=== 29 cups of coffee
5 0
4 years ago
Function K(v) represents the kinetic energy, in joules, of an object with a mass of 20 kilograms traveling with
SIZIF [17.4K]

Answer:

b. 225 joules

Step-by-step explanation:

plug in 5 m/s and 12.5 m/s in to v and h.

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