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const2013 [10]
3 years ago
6

Of 7 Express in the form n : 1. Give n as a fully simplified fraction. 6:14

Mathematics
1 answer:
hjlf3 years ago
3 0

Answer:

The ratio is;

3/7 : 1

Step-by-step explanation:

Here, we want to express the given ratio in the form n:1 where n is a fully simplified fraction

Mathematically, we have this by dividing both numbers by 14

That would be ;

6/14 : 14/14

= 3/7 : 1

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dem82 [27]

It looks like Point G is correct

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3 years ago
Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.
Llana [10]

Answer:

Step-by-step explanation:

\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t} where f(x) is replaced by y

Take Laplace on both sides

s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) =  \frac{10}{s+2}\\Y =  \frac{10}{(s+2)(s+4)(s+8)}

We can resolve into partial fraction to get Y = L(y)

Let this equals

\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\

Solving we get

s=-9

24C = 10 or C =5/12

s=-2:  A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}

6 0
3 years ago
6p+2+ p - 3 = 8p - 8​
saul85 [17]
6p+p+2-3=8p-8
7p-1=8p-8
1=1p-8
7=1p
p=7
7 0
3 years ago
What is the degree of the polynomial 2x3 - 3x2 + 4x + 5
tia_tia [17]
With polynomials the degree is the highest power x or whatever the variable is raised to. In this case, the degree is 3 since the highest power x is raised to is x^3
4 0
3 years ago
the diagram, JG = 5 cm and GE = 10 cm. Based on this information, can G be a centroid of triangle HJK?
SIZIF [17.4K]
Point G cannot be a centroid because GE is wider that JG or JG is shorter than GE. So in this diagram GE is wider than JG with 10 cm and 5 cm respectively based on this information Point G cannot be a centroid of triangle HJK. So the answer is point G cannot be a centroid because JG is shorter than GE.
4 0
3 years ago
Read 2 more answers
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