4p + 8 (p - 4) – 7 ( q - 4) =​

[tex]F = \frac{Gm_{1}m_{2} }{d^{2} }[/tex]

F x [tex]d^{2}[/tex] = G[tex]m_{1}m_{2}[/tex]

[tex]d^{2}[/tex] = [tex]\frac{Gm_{1}m_{2}}{F}[/tex]

d = ±[tex]\sqrt{\frac{Gm_{1}m_{2}}{F} }[/tex]

Since "m1" and "m2" represent different masses, we can change them to different letters. This will make it easier to solve.

m1 = m

m2 = n

F = G*m1*m2/d^2 → F = Gmn/d^2

Steps to solve for d:

F = Gmn/d^2

~Multiply d^2 to both sides

d^2 * F = d^2 * Gmn/d^2

~Simplify

d^2 * F = Gmn

~Divide F to both sides

d^2*F/F= Gmn/F

~Simplify

d^2 = Gmn/F

~Take the square root of both sides

√d^2 = ±√Gmn/F

~Simplify

d = ±√Gmn/F

Since we are done solving for d, we can input "m1" and "m2" to replace "m" and "n".

d = ±√Gmn/F → d = ±√G*m1*m2/F

Therefore, the answer is [ d = ±√G*m1*m2/F ]

Best of Luck!

The answer is 29

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

Answer:

29

Step-by-step explanation:

3(10)-1

30-1

29

Answer: c. 301 cm2

Step-by-step explanation: a p e x

Step-by-step explanation:

I think writing the given out helps a bit.

x = small angle

2x+3 = large angle <-- it's 2x since it's twice the small angle and +3 because it's 3 degrees more than the small angle.

small angle + large angle = 180

Now just substitute!

[tex]x+(2x+3)=180\\3x=177\\x=\frac{177}{3} \\x=59[/tex]

Now that you know what x equals (aka the smaller angle) now you can find the larger angle.

[tex]2(59)+3\\118+3\\121[/tex]

Answer:

The smaller angle equals 59°

The larger angle equals 121°

Good luck!

Steps:

12* 8 = 96 + two side of triangle (32 when combined) is 128.

Description:

We get 12 inches the top side and the length, then we times it by 8 inches that was the height. Answer will equal as 96. Plus the two side for the triangle and when combined 32 answer will equal as 128. So the correct answer for this question is 128 inches squared.

Answer: The area is 128 inches squared.

Please mark brainliest

Hope this helps.

Answer:

each coat $15

Step-by-step explanation:

$78-$18 divided by 4 =15

hope this helps :)

Answer:

The answer is that each shirt and pair of pants costs 15$

Step-by-step explanation:

So you have 78$, and you already need to buy a backpack so then you have 60$ dollars because the backpack is 18$, and 2 shirts and 2 pairs of pants is 4 pieces of clothing in all, 60$ divided by 4 pieces of clothing equals 15$ per piece of clothing (78 - 18 = 60 divided by 4 = 15)

Answer:

I think it's <-3,-5>

also, you may want to delete the picture somehow since your email address is showing in you top tabs...

Answer:

18 Boards

Step-by-step explanation:

Convert 6ft into inches,

[tex]6*12=72[/tex] (inches high stack)

Divide the result by four (the height of each board),

[tex]72/4=18[/tex]

Answer:

3:8=x:32

Step-by-step explanation:

3:8=x:32, x=12

but in x:8=3:32 x=0.75

Answer:

[tex]\frac{-c+d}{b}[/tex]

Step by Step:

Step 1: Subtract c from both sides:

ab + c + (−c) = d + (−c)

ab = −c + d

Step 2: Divide both sides by b:

[tex]\frac{ab}{b} = \frac{-c+d}{b}[/tex]

Step 3: Simplify:

a = [tex]\frac{-c+d}{b}[/tex]

Answer:

The distance between the two given complex numbers = 9

Step-by-step explanation:

Explanation:-

Step(i):-

Given  Z₁ = 9 - 9 i    and Z₂ = 10 -9 i

Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane

⇒ A =  Z₁ = x₁ +i y₁ = 9 - 9 i and

    B = Z₂ = x₂+ i y₂ = 10 -9 i

Let (x₁ , y₁) = ( 9, -9)

     (x₂, y₂) = (10, -9)

Step(ii):-

The distance between the two points are

    A B   =   [tex]\sqrt{(x_{2} - x_{1})^{2}+(y_{2} - y_{1})^{2} }[/tex]

    A B =   [tex]\sqrt{(10 - 1)^{2}+(-9 - (-9))^{2} }[/tex]

   AB   = [tex]\sqrt{(9)^{2} +(-9+9)^{2} }[/tex]

  AB    =  √81 = 9

Conclusion:-

The distance between the two given complex numbers = 9

Answer:

1

Step-by-step explanation:

Just finished Quiz 4: Complex Numbers, of which this was one of the questions.

Step-by-step explanation:

x:y=3:7

x+y=180

3+7=10

180/10=18

to find x

18*3=54

x+10+z=180

54+10+z=180

64+z=180

z=180-64

z=116°

The measure of angle z of the cyclic quadrilateral will be 116 degrees.

If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.

A cyclic quadrilateral is shown.

x / y = 3 / 7

y = 7x / 3

We know that the sum of the opposite angles of the cyclic quadrilateral is 180 degrees. Then the equation will be

x + y = 180°

x + 7x/3 = 180°

10x/3 = 180°

x = 54°

Then another equation is given as,

x + 10° + z = 180°

54° + 10° + z = 180°

z = 116°

The measure of angle z of the cyclic quadrilateral will be 116 degrees.

More about the cyclic quadrilateral link is given below.

https://brainly.com/question/15061291

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The complete question is attached below.

Answer:

C = 14pi

Step-by-step explanation:

C = pi d

The radius is 7 so the diameter is

d = 2r

d = 2*7

=14

C = pi *14

C = 14pi

Answer:

Step-by-step explanation:

we know circumference of a circle = [tex]\pi[/tex]d

here radius = 7 mm

diameter = 2*7= 14mm

therfore circumference = [tex]\pi[/tex] * 14

ie C = 14[tex]\pi[/tex]

therefore 2nd  option is the answer

Answer:

Step-by-step explanation:

I think it is 3,347. Because the curb weight is just the car without humans

Given that the curb weight of a new car is = 3347 pounds

Now we have to find the correct choice for the given weight of the car.

Given value is in pound while the choices are in ton.

Units are different so first task will be to get same units.

We know that 1 ton = 2000 pound

so to convert 3347 pound into ton, we will divide 3347 by 2000 and get 1.6735 ton.

Which lies between 1 and 2.

Hence final answer will be (c) between 1 and 2 tons.

Answer:

729x^12

Step-by-step explanation:

3x^2*3x^2*3x^2*3x^2*3x^2*3x^2

Answer: i say B is correct

Answer:

i think it's C i may be wrong

Step-by-step explanation:

Answer: 12(X+8)=240

Step-by-step explanation: We then would have to do the distributive property and you end with 12x+96=240

Subtract 96 from each side

Then you end with

12x=144

You then divide 12 from each side and see that X=12!

Hope this helps

P.S. It would mean a lot if you marked brainliest

Answer:

A)  -2/3

Step-by-step explanation:

To find the answer look at what it's asking you to do.  (f/g) means to divide f(x) by g(x).

[tex](f/g)(x)=\frac{2x}{x^2+2}[/tex]

Now you need to find (f/g)(-1).  Plug in -1 wherever there is an x and simplify.

[tex](f/g)(-1)=\frac{2*-1}{(-1)^2+2}\\ (f/g)(-1)=\frac{-2}{1+2}\\ (f/g)(-1)=\frac{-2}{3}[/tex]

Your answer is -2/3

Answer:

A = 236,000 (1.04)^t

population in 2009 : 335,902 people

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:  

A = P (1 + r) t  

Where:  

p = original population  

r = growing rate (decimal form) = 4/100 = 0.04

t= years passed from 2000

A = population after t years  

Replacing with the values given:  

A = 236,000 (1+ 0.04)^t

A = 236,000 (1.04)^t

Population in 2009.

t = 2009-2000 = 9  

A = 236,000 (1.04)^9

A = 335,902 people

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Correct

also can u mark as brainliest Please I just need one moreeee

Step-by-step explanation:

Answer:

BC² = 10² + 30²

the answer is D

The length of BC can be founded by the equation (BC)² = 30² + 10².

Thus, option D is the correct option.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

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Answer:

about 1 and 3/10

Step-by-step explanation:

i may be wrong

tell me if i am wrong

sorry

Answer:

(2 1/2, 0)

Step-by-step explanation:

In the picture attached, the complete question is shown.

f(x) = 2 1/2 - 3 1/3 * x

or

f(x) = 5/2 - (10/3)*x

f^-1(x) is the inverse of f(x), which is obtained replacing f(x) by x, and x by y, and solving for y, as follows:

x = 5/2 - (10/3)*y

(10/3)*y = 5/2 - x

y = (5/2)*(3/10) - x*(3/10)

y = (3/4) - (3/10)*x

f^-1(x) = (3/4) - (3/10)*x

at x-intercept, f^-1(x) = 0,

(3/4) - (3/10)*x = 0

(3/4) = (3/10)*x

x = (3/4)*(10/3)

x = 5/2 or 2 1/2

Answer:

d - (2 1/2,0)

Step-by-step explanation:

got it right on edge

Answer:

$9

Step-by-step explanation:

Given  I owe my friend $16 and my mom owes me $25

step 1-->take back money from mom

Mom gives back you $25

Now you have $25

Step 2: return the money you owe to friend

you owe $16

You have $25 and return $16

Thus , money you will have = money you have - money you return

money you have = $25 - $16 = $9

Thus, you will have $9 , after all is settled.

Answer:

-2g+3

Step-by-step explanation:

-4g + 8 - 5 + 2g

= (-4g+2g) +(8-5)

= (2-4)g + 3

= -2g +3

This equation is simplified as you can't solve it further

Answer:

-2g + 3

Step-by-step explanation:

Add like terms (-4g and 2g, 8 and -5), like so:

-4g + 2g = -2g

8 - 5 = 3

Put it all together:

-2g + 3

Answer:

640

Step-by-step explanation:

160=25%

25 times 4=100

therefore 160 times 4=100%

Answer:

25, 26, 27

Step-by-step explanation:

78/3=26, so one number is 26 and the other numbers have to equal 52, so the numbers have to either be 24,25,27,28. 25+27=52,

The codes for each country are 25, 26 and 27.

Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."

Let three consecutive integers are n-1, n, n+1.

Then,

the sum of three consecutive integers is 78.

According to the question,

n - 1  + n + n + 1 = 78

3n = 78

n = 26

The integers are 25, 26 and 27.

Therefore,  integers are 25, 26 and 27.

To learn more about the integers;

brainly.com/question/1768254

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Answer:

Angle 2, angle 3 and angle 4 will measure 60°

Step-by-step explanation:

From the figure attached,

'l' and 'm' are parallel lines and 't' is the transverse line.

m∠1 = m∠2 = 60° [Vertical angles]

m∠1 = m∠3 = 60° [Corresponding angles]

m∠1 = m∠4 = 60° [Alternate exterior angles]

Therefore, angle 2, angle 3 and angle 4 will measure the same as angle 1.