Determine the area of sector ABC if O has a measure of 2.8

Marysya12 [62]

The answer is -37! You would substitute the numbers you were given for the variables so the equation would become 5(3) -3 + 7(-7)

7 0

3 years ago

: Santiago realizó los siguientes movimientos en su Cuenta bancaria: el lunes consignó $300.000, el martes retiró $120.000, el m

butalik [34]

Answer:

Step-by-step explanation:

Los movimientos bancarios de Santiago se representan matemáticamente teniendo en cuenta que consignar es sumar y retirar el restar. Por lo tanto podes expresar los movimientos bancarios de la siguiente manera:

Lunes → + 300.000
Martes → -120.000
Miércoles → -95.000
Jueves → +80.000

Al realizar la sumatoria se obtiene:

+300.000 - 120.000 - 95.000 + 80.000 = + 165.000

En la semana Santiago obtiene en su cuenta bancaria $165.000

8 0

3 years ago

Write down a differential equation of the form dy/dt = ay + b whose solutions have the required behavior as t → ∞. all other sol

nordsb [41]

The ODE has an equilibrium point at

$\dfrac{\mathrm dy}{\mathrm dt}=ay+b=0\implies y=-\dfrac ba$

We want $y=2$ to be an unstable equilibrium solution - in other words, we want all solutions with initial condition $y(t_0)=c$ for $c$ near 2 to diverge from $y=2$ - so $-dfrac ba=2$ .

Divergence from $y=2$ would require that for $y>2$ , any solution is increasing, and for $y$ , and solution is decreasing. In order for that to happen, we need

$\dfrac{\mathrm dy}{\mathrm dt}=ay+b>0\implies y>-\dfrac ba$

if $y>2$ , and

$\dfrac{\mathrm dy}{\mathrm dt}=ay+b$

if $y$ .

Now we just pick $a,b$ to satisfy these conditions. An easy choice is $a=1$ , which forces $b=-2$ , so that one possible ODE would be

$\dfrac{\mathrm dy}{\mathrm dt}=y-2$

I've attached a plot of the slope field to demonstrate the behavior of the solutions.

6 0

3 years ago

Jason owns a small textile company that produces shirts. On a particular day, Jason has one worker come into the shop to make sh

Vesna [10]

Answer:

Variables:

$x$ → The number of hours the worker worked

$y$ → The number of shirts the worker made.

System fo equations:

$\left \{ {{25x+1.75 y=270} \atop {y=5x}} \right.$

Step-by-step explanation:

Let be $x$ the number of hours the worker worked and $y$ the number of shirts the worker made.

Since:

Jason must pay the worker $25 per hour (which can be represented with $25x$ ).
He must pay $1.75 per shirt for material costs (which can be represented with $1.75y$ ).
The total expenses were $270.

You can write the following equation:

$25x+1.75 y=270$

Knowing that the worker created an average of 5 shirts per hour, you can write the other equation:

$y=5x$

Therefore, with this equations you can set up the following system of equations, which could be used to determine the number of hours the worker worked and the number of shirts the worker made:

$\left \{ {{25x+1.75 y=270} \atop {y=5x}} \right.$

3 0

3 years ago

Simplify 6(-5).<br> -30<br> -11<br> 1<br> 30

Pavel [41]

If you would like to simplify 6 * (-5), you can do this using the following steps:

6 * (-5) = - (6 * 5) = - 30

The correct result would be - 30.

8 0

3 years ago

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