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3 years ago

Mrs. Jackson made a line plot of the times it took students to complete a project.

Mathematics

1 answer:

Komok [63]3 years ago

8 0

This value is very different from the other values

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How to draw a graph your cost c to buy w pounds of walnuts at 6$\lb is represented by c =6w

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3 years ago

I need help....Help me please .

maks197457 [2]

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Step-by-step explanation:

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3 years ago

Will an object with a density of. 97 g/ml float or sink in water explain

Ainat [17]

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3 years ago

Solve the following ODE's: c) y* - 9y' + 18y = t^2

Nastasia [14]

Answer:

y = $C_1e^{3t}+C_2e^{6t}$ + $\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

Step-by-step explanation:

y''- 9 y' + 18 y = t²

solution of ordinary differential equation

using characteristics equation

m² - 9 m + 18 = 0

m² - 3 m - 6 m+ 18 = 0

(m-3)(m-6) = 0

m = 3,6

C.F. = $C_1e^{3t}+C_2e^{6t}$

now calculating P.I.

$P.I. = \frac{t^2}{D^2 - 9D +18}$

$P.I. = \dfrac{t^2}{(D-3)(D-6)}\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1-\frac{D}{6})^{-1}(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1+\frac{D}{6}+\frac{D^2}{36}+....)(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(1+\frac{D}{3}+\frac{D^2}{9}+....)(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

hence the complete solution

y = C.F. + P.I.

y = $C_1e^{3t}+C_2e^{6t}$ + $\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

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3 years ago

What is 7x + 6x = ?<br>

viva [34]

Answer:

Step-by-step explanation:

<u>Two ways to solve</u>

1.) Expand each term in the equation

7x = x · x · x · x · x · x · x

6x = x · x · x · x · x · x

Count all the x’s ⇒ There are 13 x’s ⇒ 13x

2.) Add the coefficients

7 + 6 = 13
7x + 6x = 13x

Hence,

Answer = 13x

8 0

3 years ago