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3 years ago

9

Put 6.5ft into inches

2 answers:

SashulF [63]3 years ago

6 0

6.5 * 12 = 78

It is 78 inches.

Hope this helps!

Pachacha [2.7K]3 years ago

5 0

6.5 feet is equal to 78 inches.

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Me need help in math:(help fast

Kamila [148]

Answer:

9.5 feet

Step-by-step explanation:

15.5-6=9.5

6 0

3 years ago

1/3 is greater than what other fractions

Novosadov [1.4K]

As 1/3 = 2/6 = 3/9 = 4/12

and 2/6 is greater than 1/6
3/9 is greater than 2/9
etc..

So

1/3 is greater than 1/6 ; 2/9 ; ...

7 0

2 years ago

Read 2 more answers

Problem 4: Solve the initial value problem

pishuonlain [190]

Separate the variables:

$y' = \dfrac{dy}{dx} = (y+1)(y-2) \implies \dfrac1{(y+1)(y-2)} \, dy = dx$

Separate the left side into partial fractions. We want coefficients a and b such that

$\dfrac1{(y+1)(y-2)} = \dfrac a{y+1} + \dfrac b{y-2}$

$\implies \dfrac1{(y+1)(y-2)} = \dfrac{a(y-2)+b(y+1)}{(y+1)(y-2)}$

$\implies 1 = a(y-2)+b(y+1)$

$\implies 1 = (a+b)y - 2a+b$

$\implies \begin{cases}a+b=0\\-2a+b=1\end{cases} \implies a = -\dfrac13 \text{ and } b = \dfrac13$

So we have

$\dfrac13 \left(\dfrac1{y-2} - \dfrac1{y+1}\right) \, dy = dx$

Integrating both sides yields

$\displaystyle \int \dfrac13 \left(\dfrac1{y-2} - \dfrac1{y+1}\right) \, dy = \int dx$

$\dfrac13 \left(\ln|y-2| - \ln|y+1|\right) = x + C$

$\dfrac13 \ln\left|\dfrac{y-2}{y+1}\right| = x + C$

$\ln\left|\dfrac{y-2}{y+1}\right| = 3x + C$

$\dfrac{y-2}{y+1} = e^{3x + C}$

$\dfrac{y-2}{y+1} = Ce^{3x}$

With the initial condition y(0) = 1, we find

$\dfrac{1-2}{1+1} = Ce^{0} \implies C = -\dfrac12$

so that the particular solution is

$\boxed{\dfrac{y-2}{y+1} = -\dfrac12 e^{3x}}$

It's not too hard to solve explicitly for y; notice that

$\dfrac{y-2}{y+1} = \dfrac{(y+1)-3}{y+1} = 1-\dfrac3{y+1}$

Then

$1 - \dfrac3{y+1} = -\dfrac12 e^{3x}$

$\dfrac3{y+1} = 1 + \dfrac12 e^{3x}$

$\dfrac{y+1}3 = \dfrac1{1+\frac12 e^{3x}} = \dfrac2{2+e^{3x}}$

$y+1 = \dfrac6{2+e^{3x}}$

$y = \dfrac6{2+e^{3x}} - 1$

$\boxed{y = \dfrac{4-e^{3x}}{2+e^{3x}}}$

7 0

2 years ago

Can you please explain how i can work through these problems?

pshichka [43]

Did you add a photo? I cant see one

3 0

3 years ago

Margaret is saving $20 every week so that she can have enough money to buy a bracelet she wants. The bracelet costs $525. What i

Leto [7]

27 weeks minimum.
To get this, I divided 520 and 20. It equals 26, but there are still 5 dollars left. She cannot buy the bracelet without them, so you must add on 1 more week.
Good luck!

8 0

3 years ago

Read 2 more answers