Select the correct answer from the drop-down menu. Coulomb's law is given by F=^K^q1^q2/r^2, where F is the force, K is a constant, q1 and q2 are the charges on the two bodies, and r is the distance between them. Rewrite the formula for Coulomb's law to solve for r. The formula for r is _____ .
(I've added a pic of the formula and the three pull down answers)

Answer:

[tex]y''=\frac{-250x}{y^5}[/tex]

Choice A.

Step-by-step explanation:

We are given:

[tex]5x^3-y^3=25[/tex]

We are asked to find:

[tex]\frac{d^2y}{dx^2}[/tex]

This requires we first find:

[tex]\frac{dy}{dx}[/tex]

Let's begin.

We will differentiate the right hand side using the constant rule since 25 is just a constant. We will differentiate the left hand side using difference rule  and then constant multiple rule and then power rule and chain rule.

[tex](5x^3-y^3=25)'[/tex]

[tex](5x^3-y^3)'=(25)'[/tex]

[tex](5x^3)'-(y^3)'=0[/tex]

[tex]5(x^3)'-(y^3)'=0[/tex]

[tex]15x^2-3y^2y'=0[/tex]

Now let's solve for [tex]y'[/tex].

Add [tex]3y^2y'[/tex] on both sides:

[tex]15x^2=3y^2y'[/tex]

Divide both sides by [tex]3y^2[/tex]:

[tex]\frac{15x^2}{3y^2}=y'[/tex]

Symmetric property of equality:

[tex]y'=\frac{15x^2}{3y^2}[/tex]

Simplify right hand side:

[tex]y'=\frac{5x^2}{y^2}[/tex]

Now let's find the second derivative by differentiating both sides of this equation. We will use the quotient rule on the right hand side:

[tex]y''=\frac{(5x^2)'y^2-5x^2(y^2)'}{(y^2)^2}[/tex]

[tex]y''=\frac{10xy^2-5x^2(2yy')}{y^4}[/tex]

We can replace [tex]y'[/tex] with [tex]\frac{5x^2}{y^2}[/tex]... since we just got this result before differentiating both sides of an equality again.

So we have:

[tex]y''=\frac{10xy^2-5x^2(2y\frac{5x^2}{y^2})}{y^4}[/tex]

Let's simplify the 2nd term on top by cancelling a common factor of y in that term from top and bottom:

[tex]y''=\frac{10xy^2-5x^2(2\frac{5x^2}{y})}{y^4}[/tex]

We still don't like having this compound fraction (a mini fraction inside a bigger fraction). Let's get rid of that...Multiply numerator and denominator by [tex]\frac{y}{y}[/tex] for the big fraction to clear the mini fraction out.

[tex]y''=\frac{y}{y}\frac{10xy^2-5x^2(2\frac{5x^2}{y})}{y^4}[/tex]

Distribute:

[tex]y''=\frac{10xy^3-5x^2(2)5x^2}{y^5}[/tex]

Simplifying a bit more:

[tex]y''=\frac{10xy^3-50x^4}{y^5}[/tex]

We could factor the top a bit... both terms on top of a common factor of [tex]10x[/tex]:

[tex]y''=\frac{10x(y^3-5x^3)}{y^5}[/tex]

Notice the thing in ( ) on top is the exact opposite of the left hand side of our original equation: [tex]5x^3-y^3=25[/tex].

This implies we can replace it with -25:

[tex]y''=\frac{10x(-25)}{y^5}[/tex]

[tex]y''=\frac{-250x}{y^5}[/tex]

Answer:

The total yards gained was 13 yards.

Step-by-step explanation:

If you do 8-15+20=13

PLEASE MARK BRAINLIEST

Answer:

yes it is

Step-by-step explanation:X=side lenghths 2/3

                                            Y=perimeter 12/18

2 time 6=12 and 3 times 6=18 and it is paraticly telling you

2/6 and 3/6 i beleve i need a lil more info

Answer: (2,1) (1,3)

Step-by-step explanation: Assume that the number of hot dogs is X and the number of water bottles is y.

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

slope formula: [tex]\frac{y{2}-y{1} }{x{2}-x{1}}[/tex]

x1 and y1 are (-2, -1)

x2 and y2 are (4, 3)

[tex]\frac{3-(-1)}{4-(-2)}[/tex]

[tex]\frac{3+1}{4+2}[/tex]

[tex]\frac{4}{6}[/tex]

[tex]\frac{2}{3}[/tex]

Answer:

B) 1

Step-by-step explanation:

When reading the problem it tries to trip you up with the black dot. A line of symetery marks where you can cut the shape in half and have both parts equal. With the black dot a part of the shape there is only one way for a line of symetery to work as it can only be split in half that one way. No other corners have a black dot so there is no other way to split it where it would be symetrical.

Answer: 4.64805 pounds of CO₂ was produced

Step-by-step explanation:

Given that;

wattage = 4694 watt = 4694 /1000 = 4.694 kW

time in use t = 10hrs

CO₂ was produced = ?

Total Energy produced = wattage × time = 4.694 kW × 10hrs =  46.95 kWh

we know that 1 kWh produces 0.99 pounds of CO₂

so

46.95 kWh will produce ⇒ 46.95 kWh × 0.99 = 4.64805 pounds of CO₂

Therefore 4.64805 pounds of CO₂ was produced

Answer:

S10 = 320

Step-by-step explanation:

The formula for calculating the sum of the nth term of an AP is expressed as

Sn = n/2(2a+(n-1)d))

Given

a = 4

d = 5

n = 10

S10 =10/2{2(5)+(10-1)5}

S10 =5{10+9(6)}

S10 =5{10+54}

S10 = 5(64)

S10 = 320

Hence the sum of the first ten terms of the sequence is 320

Answer:

93%

Step-by-step explanation:

From the question given above, the following data were obtained:

Total number of student = 300

Number of student that can not drive = 21

Percentage of student that can drive =.?

Next, we shall determine the number of student that can drive. This can be obtained as follow:

Total number of student = 300

Number of student that can not drive = 21

Number of student that can drive =?

Number of student that can drive = (Total number of student) – (Number of student that can not drive)

Number of student that can drive = 300 – 21

Number of student that can drive = 279

Finally, we shall determine the percentage of student that can drive as illustrated below:

Total number of student = 300

Number of student that can drive = 279

Percentage of student that can drive =?

Percentage of student that can drive =

279/300 × 100

= 93%

Thus, 93% of the student can drive.

Answer: Sometimes

Step-by-step explanation:

A system of equations can intersect at no points; this is when the lines are parallel, which means they have the same slope and different y-intercept.

A system of equations can intersect at one point; this is when the lines have different slopes.

A system of equations can intersect in infinitely many points; this is when the graphs overlay one another, which means they are graphs of the same line.  The two equations would equal the same thing.

Answer:

84°

General Formulas and Concepts:

Geometry

Step-by-step explanation:

According to the picture, we can see that the 2 angles are Alternate Interior Angles. By definition, these 2 angles will be congruent.

Answer:

X=35

Step-by-step explanation:

Those 2 angles equal each other, meaning they're the same.

Knowing that you put them to equal each other.

2x+15=3x-20

Then you solve it.

20+15=3x-2x

35=1x

X=35

Step-by-step explanation:

its ratio so it has to be A

Answer:

46.667% increase of 30.

Step-by-step explanation:

44 is a 46.667% increase of 30.

Step-by-step explanation:

Thank you rhhtthrhrgrgtnymuge hjk it is the right

Answer:

c

Step-by-step explanation:

Answer:

x=3y

Step-by-step explanation:

Step 1: flip the equation.

2x−5y=y

Step 2: Add 5y to both sides.

2x−5y+5y=y+5y

2x=6y

Step 3: Divide both sides by 2.

2x

2

=

6y

2

x=3y

Answer:

if this is for khan academy and is a multiple choice choose the answer (neither) if not its 5

Step-by-step explanation:

y - 2x - 5y = 2x - 5

4x+ 4y = 5

Answer:

y≥−9+4x/3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x=10

Step-by-step explanation:

The lines the angles are on are 180 degrees so

(11x+23) + (7x-23)= 180

Let's rearrange them first

11x+7x + 23-23=180

Combine the like terms

18x + 0=180

Remove the 0

18x=180

Then divide 18 on each side

x=10

Answer:

?

Step-by-step explanation:

Answer:

Earnest money is typically in the form of a check.

Step-by-step explanation:

Not everyone writes checks. Can be paid in any form.

Answer:

$11.83

Step-by-step explanation:

1 gallon = 3.785 litres

0.5(1/2gallon) = x liters

x = 0.5 × 3.785 liters

x = 1.89271 liters

0.8 liter = 100 pesos

1.89271 liters = x pesos

x = 1.89271 × 100/0.8

x = 236.58875 pesos

Converting to dollars

1 mexican peso = $0.050

236.58875 pesos = x

x = 236.58875 × $0.050

x = $11.8294375

Approximately = $11.83

A half gallon jug of the same wine cost in dollars $11.83

Answer:

40 meters

Step-by-step explanation:

Answer:

i. $ 37,560

ii. $14,400

iii.  $51,960

Step-by-step explanation:

3130 x 12 = 37,560

2% of 720,000 = 14,400

14,400 + 37,560 = $51,960

Answer:

(i) 3 140 × 12 = 37 680

(ii) 720 000 × 2% = 720 000 × 0.02 = 14 400

(iii) 37 680 + 14 400 = 52 080

Answer:

-11/12 − 1/6

-3/5 + 3/20

-2/3 + 1/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

For a function to be continuous

The right hand limit f'+(x) must be equal to the left hand limit f'-(x)

The right hand limit exist at where x>3

The resulting function is. x²+a

If x = 3

f'+(3) = 3²+a

f'+(3) = 9+a

For the left hand limit, this exist where

bx+a

f'-(x) =bx+a

f'-(3) = 3b+a

Since f'+(3) = f'-(3)

9+a = 3b+a

9 =3b

b = 9/3

b = 3

At the end point x = -3

For the left hand limit

f-(x)= √-b-x

f-(-3) = √-b-(-3)

f(-3) = √-b+3

For the right hand, the function is bx+a

f'+(x) = bx+a

f+(-3) = -3b + a

Equate both limits

√-b+3 = -3b+a

√-3+3 = -3(3)+a

0 = -9+a

a= 9

Hence a = 9 and b = 3

Answer:

5.50

Step-by-step explanation:

8.25/3 = $2.75 each

2.75*2 = $5.50

Answer:

xyz is isosceses triangle