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2 years ago

What are the variables?

Mathematics

1 answer:

tresset_1 [31]2 years ago

5 0

Answer:

T and R

Step-by-step explanation:

Variables are letters that are a quantity not known yet

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Ava is saving for a new computer that coat 1,218 she already has half saved of the money. Ava earns $14.00 per hour. How many ho

ollegr [7]

Answer:

43.5

Step-by-step explanation:

First

1218 divided by 2

= 609

Second

609 divided by 14 is =43.5

43.5 is the answer

4 0

3 years ago

Need help with this one

Simora [160]

Answer:

try c

Step-by-step explanation:

6 0

3 years ago

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A town has a population of 5000 and grows at 4% every year. To the nearest year, how long will it be until the population will r

Rus_ich [418]

Answer:

About 21.457 years

Step-by-step explanation:

You can solve this by setting up a simple equation.

$5000\cdot 1.04^x \geq 11600$

$1.04^x \geq 2.32$

log base 1.04 2.32=x

$x\approx 21.457$ years

Hope this helps!

8 0

3 years ago

Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
$f(x,y_2,{y_2}',{y_2}'')=0$

Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

$-\dfrac{x^2}3y''+xy'-y=0\iff x^2y''-3xy'+3y=0$

(See "Euler-Cauchy equation" for more info)

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3 years ago

DUE TODAY! GIVING BRANLIEST!!!

Rina8888 [55]

Answer:

it b

Step-by-step explanation:

4 0

2 years ago

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