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pshichka [43]
3 years ago
12

1. 5+8 ÷2-7 12× 3-42+20 please help me now I will report your answer if bad

Mathematics
1 answer:
defon3 years ago
4 0

1. 2

2. 14

5+(8÷2)-7

5+4-7

=2

(12x3) - 42 + 30

36-42+30

=14

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This is a Differential Equations problem, I only need help on part 1 from question five. I need steps as well, thank you.
jolli1 [7]

Answer:

a) y(t) =  \sqrt{2t + 1 }

b) 1.5 hours after thickness will be 2 inches.

Step-by-step explanation:

\frac{dy}{dt}  =  \frac{1}{y}   \\   \\ ydy = dt  \\ \\ integrating \: both \: sides \\   \\  \int y \: dy =  \int 1 \: dt \\  \\  \frac{ {y}^{2} }{2}  = t + c \\  \\  {y}^{2}  = 2t + 2c \\  \\ y (t)=  \sqrt{2t + 2c} ...(1) \\  \\ a)  \:  \: \: plug \: t = 0 \: in \: (1) \\  \\  y (0)=  \sqrt{2(0) +2 c} \\  \\ y (0)=  \sqrt{0 +2 c} \\  \\ 1 =  \sqrt{2c}  \:  \: ( \because \: y (0)=1) \\  \\  2c = 1   \:  \implies \: c =  \frac{1}{2} \\  \\ plug \: c = \frac{1}{2} \: in \: (1) \\  \\ y(t) =  \sqrt{2t + 2 \times  \frac{1}{2} } \\  \\  \huge \:  \red {y(t) =  \sqrt{2t + 1 } } \\  \\b) \:  \:  plug \: y(t) = 2 \: in \: above \: equation \\  \\ 2 =  \sqrt{2t + 1}  \\  \\ 4 = 2t + 1 \: \\  (squaring \: both \: sides) \\  \\ 4 - 1 = 2t \\  \\ 2t = 3 \\  \\ t =  \frac{3}{2}  \\  \\ t = 1.5 \: hours \\

6 0
2 years ago
How do you decide if a decimal is a rational​ number?
Bogdan [553]
You decide if it has a pattern if it is a repeating pattern then it is a rational number decimal however if it a decimal with no pattern it is irrational
6 0
3 years ago
Simplify the expression <br><br> 6(-5n + 7)
Hunter-Best [27]

6(-5n+7)=0


We simplify the equation to the form, which is simple to understand

6(-5n+7)=0


Reorder the terms in parentheses

+(-30n+42)=0


Remove unnecessary parentheses

-30n+42=0


We move all terms containing n to the left and all other terms to the right.

-30n=0-42


We simplify left and right side of the equation.

-30n=-42


We divide both sides of the equation by -30 to get n.

n=1.4

Hope this helps!

7 0
3 years ago
Read 2 more answers
For the inverse variation equation xy=k, what is the constant of variation,k, when x = -3and y=-2
const2013 [10]

Answer:

6

Step-by-step explanation:

xy=k

Value of k ; when ; x = - 3 and y = - 2

Put x = - 3 and y = - 2 into the equation :

(-3)(-2) = k

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The constant of variation k = 6

8 0
3 years ago
What percent is 24 or 96
KIM [24]

Answer:

.25 or 25%

Step-by-step explanation:

24/96=.25

6 0
3 years ago
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