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ch4aika [34]
4 years ago
10

What is the answer to 0.5 = 5/9

Mathematics
1 answer:
pishuonlain [190]4 years ago
8 0

Answer:

false

Step-by-step explanation:

0.5 in fraction form is 1/2

1/2 is not equal to 5/9

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30 POINTS!!!!
gladu [14]
Sloope intercept form is
y=mx+b
m=slope
b=y intercept =where the line passes through the y axis

we are given
line M has slope of 1 and passes through y axis at -2 (y intercept=-2)
equaton is therefor y=1x-2 or y=x-2


line N has slope of 1 and passes through y axis at -2 (y intercept=-2)
equaton is therefor y=1x-2 or y=x-2

compare

line M: y=x-2
line N: y=x-2

they are the same line and lines extend infinitely so therefor there are infinite number of solutions




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3 years ago
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Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y
koban [17]

\dfrac{\mathrm dy}{\mathrm dt}=-4x\implies x=-\dfrac14\dfrac{\mathrm dy}{\mathrm dt}\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}

Substituting this into the other ODE gives

-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0

Since x(t)=-\dfrac14y'(t), it follows that x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16. The ODE in y has characteristic equation

r^2-16=0

with roots r=\pm4, admitting the characteristic solution

y_c=C_1e^{4t}+C_2e^{-4t}

From the initial conditions we get

y(0)=5\implies 5=C_1+C_2

y'(0)=16\implies-16=4C_1-4C_2

\implies C_1=\dfrac12,C_2=\dfrac92

So we have

\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}

Take the derivative and multiply it by -1/4 to get the solution for x(t):

-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}

7 0
4 years ago
The original value of a car is $15,000 and it depreciates (loses value) by 20% each year. What is the value of the car after thr
REY [17]
$15,000 * 0.8 = $12,000
$12,000 * 0.8 =  $9,600
$9,600  * .08 =  $7,680
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