How many times more is 2 ^ 10 than 2^ 6
Answer choices
8
16
12

Teniendo en cuenta la Ley Universal de la Gravitación, la distancia a la que se encuentran dos masas de 60 kg y 80 kg, si la fuerza de atracción entre ellas es de 3×10⁻³¹ N, es 1.033 ×10¹² m.

La Ley Universal de la Gravitación establece que los cuerpos, por el simple hecho de tener masa, experimentan una fuerza de atracción hacia otros cuerpos con masa, llamada fuerza gravitacional.

Esta ley dice que la fuerza gravitacional entre dos cuerpos es directamente proporcional al producto de sus masas e inversamente proporcional al cuadrado de la distancia que los separa.

Matemáticamente se expresa de la siguiente manera:

[tex]F=G\frac{Mm}{d^{2} }[/tex]

donde:

En este caso, sabes:

Reemplazando en la Ley Universal de la Gravitación:

[tex]3x10^{-31}N =6,67x10^{-11}\frac{Nm^{2} }{kg^{2} } \frac{60 kg x80 kg}{d^{2} }[/tex]

Resolviendo:
[tex]\frac{3x10^{-31}N}{6,67x10^{-11}\frac{Nm^{2} }{kg^{2} }} = \frac{60 kg x80 kg}{d^{2} }[/tex]

[tex]4,4977x10^{-21} \frac{kg^{2} }{m^{2} } = \frac{4800 kg^{2} }{d^{2} }[/tex]

[tex]d^{2} x4,4977x10^{-21} \frac{kg^{2} }{m^{2} } =4800 kg^{2}[/tex]

[tex]d^{2} = \frac{4800 kg^{2} }{4,4977x10^{-21} \frac{kg^{2} }{m^{2} } }[/tex]

[tex]d = \sqrt{\frac{4800 kg^{2} }{4,4977x10^{-21} \frac{kg^{2} }{m^{2} } }}[/tex]

[tex]d = \sqrt{1,0672x10^{24} m^{2} }[/tex]

d= 1.033 ×10¹² m

Finalmente, la distancia a la que se encuentran dos masas de 60 kg y 80 kg, si la fuerza de atracción entre ellas es de 3×10⁻³¹ N, es 1.033 ×10¹² m.

Aprende más acerca de la Ley Universal de la Gravitación:

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Answer:

x = 41.16

Step-by-step explanation:

Answer:

x=41.2

Step-by-step explanation:

Assuming that the dotted line and the vertical line form a 90 degree angle, we can find the angle measurements of the triangle.

Since there is a 90 degree angle formed between the dotted line and the vertical line, subtracting 27 from 90 will get us the angle measure of one of the vertex of the triangle.

90-27=63 degrees

Now we can use trig. ratios to help us figure out the missing side.

tan(63)=x/21

x=tan(63)*21

x=41.21482062

x=41.2

Hope this helps!!!

Answer:

9.4 cm

Step-by-step explanation:

pi*diameter=circumference

3.14159*3=9.42478

round to nearest millimeter

9.4 cm

Answer:

19 ducks are NOT WINNERS
There is a 76% CHANCE that you will not choose a winning duck, so it is VERY LIKELY that you will choose a duck that is not a winner.

Step-by-step explanation:

Answer: 1.) 19 rubber ducks are not winners

2.) There is a 76% chance of not choosing a winning duck

1.) Step-by-step explanation: 25 times 0.24 equals 6, 25-6=19

2.) 0.24 is equal to 24% and 100-24= 76 so 76% chance of not choosing a rubber duck

The factor of decay in the function that represents the daily revenue of the store is 0.939.

The factor that represents decay is the factor that reduces the growth rate of revenue for this store. In the given function, the factor that represents decay would have a value that is less than one.

To learn more about exponential functions, please check: https://brainly.com/question/26331578

The dot plot that was illustrated simply shows that the airline's flights had shorter flight times is Airjet Express.

It should be noted that a dot plot simply means a plot that is used to display the data values.

In this case, the dot plot that was illustrated simply shows that the airline's flights had shorter flight times is Airjet Express. This was depicted in the data visualization.

Learn more about dot plots on:

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well, since we know the diameter points, half-way in between is the center

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-25}~,~\stackrel{y_2}{-11}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -25 -1}{2}~~~ ,~~~ \cfrac{ -11 -1}{2} \right)\implies \left(\cfrac{-26}{2}~~,~~\cfrac{-12}{2} \right)\implies (-13~~,~~-6)[/tex]

and its radius will be half the length of the diameter

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-25}~,~\stackrel{y_2}{-11})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-25 - (-1)]^2 + [-11 - (-1)]^2}\implies d=\sqrt{(-25+1)^2+(-11+1)^2} \\\\\\ d=\sqrt{(-24)^2+(-10)^2}\implies d=\sqrt{676}\implies d=26~\hfill \stackrel{half~that}{r=13}[/tex]

[tex]\rule{34em}{0.25pt}\\\\ \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-13}{ h},\stackrel{-6}{ k})\qquad \qquad radius=\stackrel{13}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-(-13)]^2~~ + ~~[y-(-6)]^2~~ = ~~13^2\implies (x+13)^2~~ + ~~(y+6)^2~~ = ~~169[/tex]

Answer:

.0214

Step-by-step explanation:

2.14 * .01 = .0214

to check:

.0214 * 100 = 2.14

Answer:

C: 28 inches

Step-by-step explanation:

Perimeter is when you add the length of each sides together.

Answer:

c

Step-by-step explanation: Because to get the perimeter you need to add all the sides of the figure for example 9+9+5+5=28 :]

Answer:

215.625 square feet.

Step-by-step explanation:

The best way to approach this is by finding the area of each shape and then adding them together.

The area of a rectangle is Length · Width. Both rectangles have a length of 12.5 feet and a width of 7.5 feet. 12.5 · 7.5 = 93.75. And since both rectangles have the same dimensions, we can just multiply 93.75 by two to get 187.5 square feet for the rectangles.

The area of a triangle is Base · Height / 2. Since the sides of the triangle are the same as the sides of rectangles, the dimensions of the triangle are 7.5 feet and 7.5 feet.

7.5 · 7.5 / 2 = 28.125 square feet.

187.5 + 28.125 = 215.625 square feet.

Hope this helps! :)

Question 4:

   2x + 3y = 17    -- equation 1

   5x + 6y = 32  -- equation 2

    (equation 1) * 2

    4x + 6y = 34 -- equation 3

    (equation 2) - (equation 3)

     x = -2 -- equation 4

     plug (equation 4)'s value of x into (equation 1)

     2(-2) + 3y = 17

     3y - 4 = 17

      3y = 21

         y = 7

      Thus the answer is x = -2 and y = 7

Question 5:

  The vertex form of a quadrilateral looks like this:

      [tex]y = a(x-h)^2 + k[/tex]

    The x-coordinate of the vertex is equal to '-b/2a'. Where b is the

     coefficient of x, so:

          [tex]h = -\frac{b}{2a} =-\frac{-8}{2*1} =4[/tex]

    There is also another formula to find the y-value of the vertex

    coordinate, but the easier way to find it is to plug it into the original

    equation:

        [tex]k=(4)^2-8(4) + 12= 16 -32 + 12 = -16 + 12 = -4[/tex]

    Since we know now that h = 4 and k = -4 and that a = 1, lets plug it into

    the original equation.

       [tex]y = 1*(x-4)^2 - 4 =(x^2-4)-4[/tex]

     Thus the answer is [tex]y = (x-4)^2 -4[/tex]

Hope that helps!

B) [tex]\sf y=\left|x-3\right|[/tex]

Here in option B,

y-intercept:

y = |x-3|

y = |0-3|

y = 3

x-intercept:

0 = |x-3|

x - 3 = 0

x = 3

Thus option B is correct.

Answer:

$1.66 or $1.70 if you round up

Step-by-step explanation:

The expressions BC and AB are illustrations of straight lines

The length AC is 25 units

The given parameters are:

BC =7

AB = 16

Assume that AB and BC are straight lines.

Then , we have:

AC =AB + BC

Substitute known values

AC = 16 + 7

Evaluate the sum

AC = 25

Hence, the length AC is 25 units

Read more about lengths at:

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Answer:

lol thts 26

Step-by-step explanation:

Answer:

1/21

Step-by-step explanation:

We start with 7 cards. The probability of picking a 4 is 1/7. Since the first card is not put back, there are 6 cards left. Of these 6 cards, there are two which have divisors of 63: 3 and 7. So the probability of picking a divisor of 63 is 2/6, which reduces to 1/3. Multiplying these probabilities gives 1/21.

Answer:

$177.41

Step-by-step explanation:

when it says 32% OF , of always means multiply in word problems so we multiple 132% (1.32) times 134.40

$177.41

Answer:

420

Step-by-step explanation:

32% of its original price

32%=134.40

100%=?

cross multiply

100/100 x 134.40 × 100/32

1×134.40×3.125

=420

Answer:

56 im pretty sure not my level but if i did it right it should be but if it is wrong im sorry

Step-by-step explanation:

Answer:

4.58257569 meters (Could probably get away with rounding it to 4.6 meters)

Step-by-step explanation:

Pythag theorem

a^2 +b^2 =c^2

Insert your numbers

10^2+b^2=11^2

Simplify squares

100+b^2=121

subtract 100 from both sides

b^2=21

sqrt both sides

sqrt(b^2)=sqrt(21)

simplify sqrts to get b

b= 4.58257569

Answer:

x = 21.

Step-by-step explanation:

AS there are parallel lines:

4/12 = 7/x

4x = 84

x = 84/4 = 21.

Answer:

Always true.

Step-by-step explanation:

All rectangles are made up of four right angles, which are always congruent.

Step-by-step explanation:

x+48=180

x=180-48

x=132

have a good day

Answer:

x = 132°

Step-by-step explanation:

The exterior angle is equal to the sum of two opposite interior angles.

d = a + b, where d is the exterior angle, a and b are the two opposite interior angles.

d = 60 + 72

d = 132°

Answer:

Step-by-step explanation:

Answer:

y = -x+5

Step-by-step explanation:

m = -1, so y = -x+5

Answer:

58 1/3 in³

Step-by-step explanation:

Volume of a square pyramid:

V = (1/3)a^2h (don't need the lateral lenght)