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2 years ago

If you can buy one can of pineapple chunks for $2 then how many can you buy with $10?

Mathematics

1 answer:

vladimir1956 [14]2 years ago

4 0

Answer:

5 cans can be bought with $10

Step-by-step explanation:

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Find the function of which is the solution of 36y"-48y'-48y=0 with initial conditions y1(0)=1. y1'(0)=0

lilavasa [31]

Answer:

$y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }$

Step-by-step explanation:

Let, $D=\frac{d}{dx}$

Now, us simplify the given differential equation and write it in terms of D,

$36y''-48y'-48y=0$

or, $3y''-4y'-4y=0$

or, $(3D^2-4D-4)y=0$

We have our auxiliary equation:

$3D^2-4D-4=0$

or, $(3D+2)(D-2)=0$

or, $D=2, - \frac{2}{3}$

Therefore our solution is,

$y=Ae^{2x}+Be^{- \frac{2}{3}x}$

and, $y'=2Ae^{2x}-\frac{2}{3}Be^{\frac{2}{3}x }$

Applying the boundary conditions, we get,

$A+B=1$

$2A-\frac{2}{3}B=0$

Solving them gives us,

$A=\frac{1}{4} ,B=\frac{3}{4}$

Hence,

$y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }$

4 0

2 years ago

Find the measure of 0. Round answer to the nearest tenth. Pleas help

DENIUS [597]

Answer:

$\theta=36.43^{\circ}$

Step-by-step explanation:

Given that,

Base = 42

Perpendicular height = 31

We need to find the value of $\theta$ . It can be calculated using trigonometry as follows :

$\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})$

Put all the values,

$\theta=\tan^{-1}(\dfrac{31}{42})\\\\\theta=36.43^{\circ}$

So, the value of $\theta=36.43^{\circ}$ .

6 0

2 years ago

What is the answer for 5x+2=2x-10

Lady bird [3.3K]

5x+2=2x-10

3x=-12

x=-4

4 0

2 years ago

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Write the quadratic function f(x) = 3x2 - 6x + 9 in vertex form.

Y_Kistochka [10]

The answer is y=3(x-1)^2+6

7 0

2 years ago

Read 2 more answers

Witch multiples of 24 are not factors of 24

Nataly [62]

Answer:

A factor of 24 is a number that can be multilied by another number (normally whole (not fraction or decimal) numbers) so a factor must be less than the number any multiple of 2 greater than 24 will work so just any even number greater than 24 exg 26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60, and so on.

Step-by-step explanation:

8 0

3 years ago