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2 years ago

The original price of a measuring tape is $4.30. How much will Hector pay if he buys it during the sale?

Mathematics

1 answer:

Murrr4er [49]2 years ago

8 0

Answer:

how much percent is off?

Step-by-step explanation:

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D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x

MA_775_DIABLO [31]

The solution depends on the value of $k$ . To make things simple, assume $k>0$ . The homogeneous part of the equation is

$\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0$

and has characteristic equation

$r^2-16k=0\implies r=\pm4\sqrt k$

which admits the characteristic solution $y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}$ .

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be $y_p=ae^{4x}+be^x$ . Then

$\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x$

So you have

$16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x$
$(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x$

This means

$16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}$
$b(1-16k)=30\implies b=\dfrac{30}{1-16k}$

and so the general solution would be

$y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x$

8 0

2 years ago

The variable a varies inversely with b. The value of a is 2 when b = 40. Find the constant of variation (k). I will give brainli

Zinaida [17]

Answer:

1=20

Step-by-step explanation:

40 divided by 2 is 20 so

1=20

4 0

2 years ago

Eric tossed two coins in the air at the same time. He recorded the results of each toss. He tossed the coins 100 times. About ho

Anna007 [38]

Answer:

25 times

Step-by-step explanation:

p(HT) p(hh) p(tt) p(HT)

h-heads

t-tails

p(hh)=(1/4*100)

6 0

2 years ago

The equation of line A is y = 7x + 12. Line B is perpendicular to line A and passes through the point . What would be the soluti

max2010maxim [7]

Since B is perpendicular to A. We can say that the gradient of B will be -1/7 (product of the gradients of 2 perpendicular lines has to be -1).
Now we know that the equation for B is y=-(1/7)x + c with c being the y intercept.
Since the point isnt specified in the question, we could leave the equation like this.
But if there is a given point that B passes through, just plug in the x and y values into their respective places and solve to find c. That should give you the equation for b.
Now, to find the solution of x, we have 2 equations:
1) y=7x+12
2)y=-(1/7)x+c

In this simultaneous equation we see that y is equal to both the expressions. So,
7x+12=-(1/7)x+c

Now, since the value of c is not found, we cannot actually find the value of x, but if we would find c, we could also find x since it would only be a matter of rearranging the equation.
And there you go, that is your solution :)

3 0

2 years ago

PLEASE HELP!!!!!!!!!!

natulia [17]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers