The work W required to move a particle from a far distance to within radius r of another particle varies jointly as the product of the two particles' charges q1 and q2 and inversely as the radius r. Write a formula that models this proportion. (Use k as the constant of variation.)

Answer:

m<1=65°

Step-by-step explanation:

180-115=65°

It would also be 115 degrees because they are the same angle. :)

Answer: {x,y}={6,21}

Step-by-step explanation:

// Solve equation [2] for the variable  x

  [2]    3x = 18

  [2]    x = 6

// Plug this in for variable  x  in equation [1]

  [1]    2•(6) - y = -9

  [1]     - y = -21

// Solve equation [1] for the variable  y

  [1]    y = 21

// By now we know this much :

   x = 6

   y = 21

We are done

Answer:

y = 2x -6. A dependent system, so all numbers on this line.

Step-by-step explanation:

2x - y = 6

-3y = -6x + 18

In order to solve a system of equations, you want to get isolate y. One equation already has done that for us, so that makes it easier.

2x - y = 6

In order to isolate y in this equation, you must simply subtract 2x from both sides, which would give us:

-y = -2x + 6

Now, you can't leave y negative. Normally you'd divide the y by its variable, but this one doesn't have a variable. so you must divide both sides by -1.

[tex]\frac{-y}{-1} =\frac{-2x+6}{-1}[/tex]

We divide both sides because what you do to one side you must do to the other. This leaves us with the equation:

y = 2x - 6

Now, for the other equation. It's simple since y is already isolated.

-3y = -6x + 18

Once again we will be dividing both sides, but this time it's by -3.

[tex]\frac{-3y}{-3} =\frac{-6x+18}{-3}[/tex]

We are dividing by -3 instead of -1 because y in this equation has a variable of -3. This would give us:

y = 2x - 6

Now, normally in order to get the answer, you must graph both of these equations, but since these equations ended up being the same, the answer is every number that appears on the line. This is called a dependent system.

Answer:

i think you got them right

Step-by-step explanation:

Answer:

828.6667

Step-by-step explanation:

Answer:

-4 < N < 6

Step-by-step explanation:

Given problem:

      Compound inequality to represent all of the numbers between  -4 and 6

Solution:

Problems with inequality gives a range of values for the solution:

      let the numbers between these extremes  = N

The inequality is;

                -4 < N < 6

Where N is a real number

Answer:

The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Answer:

A) The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Step-by-step explanation:

I took the test on edge

Answer:

The difference in cost per mile is $0.94.

Step-by-step explanation:

Uber

7x = 20.37

x = $2.91 per mile

Lyft

4y = 15.4

y = $3.85 per mile

3.85 - 2.91 = 0.94

Hello.

To find the difference in cost per mile, divide the cost by the amount of miles, then subtract the two answers.

20.37 / 7 = 2.91 (cost per mile {cpm} for Uber)

15.40 / 4 = 3.85 (cost per mile {cpm} for Lyft)

3.85 - 2.91 = 0.94

The difference in cost per mile is $0.94

Answer:

the answer is 4 hours

Answer:

3 hours

Step-by-step explanation:

Since you payed 10 dollars you would take out $6 first then divide 4 by 2 which gives you two so two plus the first hour gives you 3 hours

Answer:

Step-by-step explanation:

[tex]x^2+7x+10=0\qquad\implies\quad a=1\,,\ b=7\,,\ c=10\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-7\pm\sqrt{7^2-4(1)(10)}}{2(1)}=\dfrac{-7\pm\sqrt{49-40}}{2}=\dfrac{-7\pm\sqrt9}{2}\\\\ x_1=\dfrac{-7+3}2=\dfrac{-4}2=-2\,,\qquad x_1=\dfrac{-7-3}2=\dfrac{-10}2=-5[/tex]

Answer:

y= 4/5 + 172

Step-by-step explanation:

this equation is in slope intercept form which is y= mx +b

Answer:

D

Step-by-step explanation:

[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {27}^{2} + {36}^{2} = 2025 \\ {45}^{2} = 2025[/tex]

Given:

Total amount for investment = $32000

Rate of interest for Stock A = 4%

Rate of interest for Stock B = 7%

Jim is hoping to earn $2,000 in interest.

To find:

The amount of investments in Stock A and Stock B.

Step-by-step explanation:

Let amount of investments in Stock A = $x

Amount of investments in Stock B = $y

Total amount for investment = $32000

[tex]x+y=32000[/tex]        ...(i)

Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.

[tex]0.04x+0.07y=2000[/tex]           ...(ii)

From (i) and (ii), we get

[tex]0.04x+0.07(32000-x)=2000[/tex]

[tex]0.04x+2240-0.07x=2000[/tex]

[tex]-0.03x=2000-2240[/tex]

[tex]-0.03x=-240[/tex]

Divide both sides by -0.03.

[tex]x=\dfrac{-240}{-0.03}[/tex]

[tex]x=8000[/tex]

Put x=8000 in (i).

[tex]8000+y=32000[/tex]  

[tex]y=32000-8000[/tex]  

[tex]y=24000[/tex]  

Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.

Answer: To create a graph from an equation, evaluate the function at different coordinates. Use the input-output pairs to identify and plot points on the graph.

Step-by-step explanation: Finished the assignment.

The answers to incomplete blanks are -

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.

Given is to fill in the blanks and complete the statement below -

"To create a graph from an equation, evaluate the function at different _____ . Use the input-output pairs to identify and plot _______on the graph".

The given statement can be completed as follows -

To create a graph from an equation, evaluate the function at different values of input variable . Use the input-output pairs to identify and plot coordinate input-output points on the graph.

Therefore, the answers to incomplete blanks are -

To solve more questions on graphs, visit the link below-

https://brainly.com/question/13298277

#SPJ2

Complete question :

Tabby is building two models of the Eiffel Tower. The scale factor of Model 2 to Model 1 is 1/4

____________Eiffel Tower(ft) _ M 1 (in) _M2 (in)

Height _______ 984 ______11.808 ____?

W of base ____ 328 _______? _______?

Answer:

Model 1 :

Width of Base = 328 * 0.012 = 3.936 inch

Model 2 :

Height = 11.808 * 4 = 47.232 inches

Width of base = 4 * 3.936 = 15.744 inches

Step-by-step explanation:

____________Eiffel Tower(ft) _ M 1 (in) _M2 (in)

Height _______ 984 ______11.808 ____?

W of base ____ 328 _______? _______?

Scale factor of Model 2 to Model 1 is 1/4

Model 1 : Model 2

1 : 4

The scale factor of actual tower to model 1

984ft = 11.808 inches

Hence,

1 ft = 11.808 / 984

1 ft = 0.012 inch

Model 1 :

Width of Base = 328 * 0.012 = 3.936 inch

Since ;

Model 1 : Model 2 ; 1 / 4

1 : 4

Model 2 :

Height = 11.808 * 4 = 47.232 inches

Width of base = 4 * 3.936 = 15.744 inches

Answer:

125 over 81

Step-by-step explanation:

x3= 125 over 27

Divide both sides by 3, you get:

x=125 over 81

Thats it lol

Answer:

Step-by-step explanation:

Answer:

car B is the least efficient shown in the graphic

Answer:

No because  [tex]a^2 + b^2 = b^2 + a^2[/tex]

Step-by-step explanation:

No it does not matter if you were given a or b because with the equation a²+b²=c² as long as you can substitute in two values you can solve for the unknown value. For example if you had triangle STU having hypotenuse as 41 and value a as 9 you would substitute in the values resulting in the equation 9²+b²=41² then you would solve the exponents 81+b²=1681 then you would subtract 81 having the equation now as b²=1600 then you would √b²=√1600 resulting in

b=40

you could solve that equation the same way if you had b=40 and c=42

Answer:

A: 8+4t. B:12+2t

Step-by-step explanation:

It would take 2 hours for them to equal each other

Answer: A=4t+12 B=5t=8 Answer: 4hours

Step-by-step explanation:

Answer:

14 and 15

Step-by-step explanation:

14.6628782986, this is the square root.

Step-by-step explanation:

x + 7- 5x- 5

= x - 5x +7- 5

= -4x + 2

= -2 (2x - 1)

Answer:

-4x+2

Step-by-step explanation:

Combine Like Terms:

x + 7 - 5x - 5

-4x + 7 - 5

-4x + 2

Answer:

[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

[tex]\frac{4}{z} = \frac{12}{5}[/tex]

4 (5) = z (12)

20 = z (12)

20 = 12z

z = [tex]\frac{5}{3}[/tex]

Answer:

[tex]\huge\boxed{130 \textdegree}[/tex]

Step-by-step explanation:

We can use a couple of angle relationships to find the missing angle.

1. All angles in a triangle add up to 180°

We know that all angle in a triangle will add up to 180°. Since we know the measure of 2, we can find the other angle easily.

[tex]180-35-95\\\\180-130\\\\50[/tex]

So the other angle in the triangle is 50°.

2. The 50° angle and the missing angle are supplementary.

We know that the missing angle and the third triangle angle are supplementary. This means that their angle measures will add up to 180°.

Since we know one, we can find the measure of the other.

[tex]180-50\\\\130[/tex]

So the missing angle is 130°.

Hope this helped!

Answer:

Step-by-step explanation:

We can use a couple of angle relationships to find the missing angle.

1. All angles in a triangle add up to 180°

We know that all angle in a triangle will add up to 180°. Since we know the measure of 2, we can find the other angle easily.

So the other angle in the triangle is 50°.

2. The 50° angle and the missing angle are supplementary.

We know that the missing angle and the third triangle angle are supplementary. This means that their angle measures will add up to 180°.

Since we know one, we can find the measure of the other.

So the missing angle is 130°.

Answer:

<4 and <1

Step-by-step explanation:

look and you'll see if you remove the lines between them there is a 180 degree angle.

Answer:

$2.75

Step-by-step explanation:

Cause $8.25 divided by 3 equals $2.75

hope this helps!

Answer:

Step-by-step explanation:

When multiplying exponents with same base the operation is adding up

Answer:

[tex]add[/tex]

Step-by-step explanation:

When multiplying in same base the operation you have to do is adding

Ex:-

[tex] {a}^{2} \times {a}^{8} = {a}^{2 + 8} = {a}^{10} [/tex]

Answer:

Angles 2 and 11 are alternate interior angles I believe

Hope this helped!