All categories

2 years ago

Given the following formula, solve for v. s = 1/2a^2v + c

Mathematics

2 answers:

dexar [7]2 years ago

8 0

Answer:

Step-by-step explanation:

correct

weeeeeb [17]2 years ago

7 0

Since there is no initial condition, the exact value of v cannot be determined, but you can set the equation up for a general evaluation of the situation.

s = 1/2a^2*v+c

First you need to subtract c from both sides to get

s-c = 1/2a^2*v

then you can just divide both sides by 1/2a^2 to get v

(2(s-c))/a^2=v

when dividing a fraction, such as 1/2, make sure to keep in mind that you're really multiplying the flipped version, so that dividing by 1/2 means multiplying by 2.

You might be interested in

AE is an angle bisector of BAC if the measure of BAE = x + 30 and masure of angle EAC = 3x-10 determine Measure of angle EAC

TEA [102]

The measure of angle EAC is equivalent to 50 degrees.

5 0

2 years ago

Solve the equation <img src="https://tex.z-dn.net/?f=%2835%20x%5E%7B4%7D%20y%2B14%20x%5E%7B5%7D%20y-2%20y%5E%7B3%7D-4x%20y%5E%7B

jeka94

$\underbrace{35x^4y+14x^5y-2y^3-4xy^3}_M\,\mathrm dx+\underbrace{7x^5-6xy^2}_N\,\mathrm dy=0$

$M_y=35x^4+14x^5-6y^2-12xy^2$
$N_x=35x^4-6y^2$

$\dfrac{N_x-M_y}N=\dfrac{-14x^5+12xy^2}{7x^5-6xy^2}=-2$

This suggests an integrating factor depending on $x$ only is possible, and given by

$\mu(x)=\exp\left(-\displaystyle\int\frac{N_x-M_y}N\,\mathrm dx\right)=e^{2x}$

Distributing across the ODE, we end up with

$\underbrace{(35x^4y+14x^5y-2y^3-4xy^3)e^{2x}}_{M^*}\,\mathrm dx+\underbrace{(7x^5-6xy^2)e^{2x}}_{N^*}\,\mathrm dy=0$

The equation is now exact, with

${M^*}_y={N^*}_x=(35x^4+14x^5-6y^2-12xy^2)e^{2x}$

Now we find the solution:

$F_x=M^*$
$F=\displaystyle\int(35x^4+14x^5-2y^3-4xy^3)e^{2x}\,\mathrm dx$
$F=(7x^5y-2xy^3)e^{2x}+f(y)$

$F_y=N^*$
$(7x^5-6xy^2)e^{2x}+f'(y)=(7x^5-6xy^2)e^{2x}$
$f'(y)=0$
$\implies f(y)=C$

The general solution is then

$F(x,y)=(7x^5y-2xy^3)e^{2x}=C$

7 0

3 years ago

What is the volume of this box?

astra-53 [7]

The awnser is 2.3997

6 0

3 years ago

You have a coupon for a restaurant. You save $3 on a meal. What was the original cost of the meal?

Kamila [148]

I need to know the price of the meal after the coupon.

4 0

3 years ago

The weight of each fountain pen manufactured in a factory must be 10g with a tolerance of 2g. Pens that are not within the toler

FromTheMoon [43]

According to the information given, the absolute value inequality that can be used to assess which pens are tolerable is:

$|w - 10| \leq 2$

The absolute value function measures the distance of a point to the origin, and is defined by:

$|x| = x, x \geq 0$

$|x| = -x, x < 0$

The weight must be of 10g, with a tolerance of 2g, which means that the absolute value of the difference between the weight w and 10g must be of at most 2g, hence the inequality is:

$|w - 10| \leq 2$

To learn more about absolute value inequalities, you can take a look at brainly.com/question/24005819

5 0

1 year ago