A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answer:

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Step-by-step explanation:

From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:

[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]

Thus, cross multiply to have;

[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]

then divide through by G[tex]M_{2}[/tex] to have,

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Answer: 20.8

Step-by-step explanation:

Since it is an equilateral triangle, we know the bottom is also 24. We also know that line E is bisecting the base. So using the smaller right triangle we know that the hypotenuse is 24 and one leg is 12. So use the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\12^{2} +b^{2} =24^{2} \\144+b^{2} =576\\b^{2} = 432\\b= 20.8[/tex]

Answer:

p(e)=e-3

Step-by-step explanation:

De acuerdo a la información proporcionada, sabes que Paul tenía una determinada cantidad e y al comprar el libro recibió 3 de vuelto, lo que significa que el precio del libro sería igual a restar 3 de la cantidad que tenía al inicio, lo cual se puede expresar de la siguiente forma:

p(e)=e-3, donde

p es el precio del libro

e es la cantidad que Paul tenía al inicio

Answer:

The slope of the line is 1

Step-by-step explanation:

The image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).

What is counterclockwise ?

Counterclockwise is a direction of rotation that is opposite to the direction of the hands on a clock. It is also known as anticlockwise in some parts of the world. When viewed from above, counterclockwise rotation goes in the direction of a left-handed spiral, while clockwise rotation goes in the direction of a right-handed spiral. In mathematics, physics, and other fields, counterclockwise is often used as a standard convention for the positive direction or orientation of angles, planes, and other geometric objects. In graphical user interfaces, counterclockwise rotation is often used to indicate an undo or reverse action, while clockwise rotation is used to indicate a redo or repeat action.

According to the question:
When a point is rotated by 270 degrees counterclockwise about the origin, the new point is found by switching the x and y-coordinates of the original point, and negating the new x-coordinate. So, to find the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin, we can use the following formula:

(x', y') = (-y, x)

where (x, y) is the original point and (x', y') is the new point after the rotation

Plugging in the values from the given point, we get:

(x', y') = (-(-8), -7)

Simplifying this expression, we get:

(x', y') = (8, -7)

Therefore, the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).

To know more about counterclockwise visit:
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Answer:

a) 20ft

Step-by-step explanation:

just multiply the model length and the scale factor

Answer:

570 of 2% 4years

570×2÷100 4years

11.5 × 4÷12

3.8..

Answer:3 7/10

Step-by-step explanation:

:)

Answer:

High top pairs- 45

Low top pairs- 15

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

what you do is divde 3 by 4 which equals to 0.75

Answer:

75%

Step-by-step explanation:

If your rounding 2 decimals. Hope this helps!

Answer:

hey there, the answer is 8.9429 × 10^8

Answer:

8.9429 × 10^8

Step-by-step explanation:

ya the answer is 8.9429 × 10^8

Answer:

30

Step-by-step explanation:

the street and the diameter of the bike are not measured in the same units. We have to convert them to the same units

1 feet = 12 inches

157 x 12 = 1884

circumference of a circle = 2nr

2 x 3.14 x 10 = 62.8 in

Number of revolutions = 1884/62.8 = 30

Answer:

i can see can we talk

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=3

Answer:

there are 16 inches of bases

Answer:

2.9195

Step-by-step explanation:

To find the time we need to equate the function the zero and solve for t:

[tex] { - 16t}^{2} + 45t + 5 = 0[/tex]

Using the general formula we have that:

[tex]t = \frac{ - 45 + \sqrt{ {45}^{2} - 4 ( - 16)(5)} }{2( - 16)} \\ = \frac{ - 45 + \sqrt{2345} }{ - 32} [/tex]

then:

[tex]t = \frac{ - 45 + \sqrt{2345 } }{ - 32} = - 0.107 \\ or \\ t = \frac{ - 45 - \sqrt{2345} }{ - 32} = 2.9195[/tex]

Since the time has to be positive we conclude that the ball is in the air 2.9195 seconds.

Answer:

14.3 yd

Step-by-step explanation:

apply the pythagorean Theorem formula:

= sqrt(14^2 +3^2)

= sqrt(205)

roughly 14.3 yd

Answer:

B

Step-by-step explanation:

The y-intercept is 3 and the parabola is facing down which means the x^2 has to be negative.

Answer:

9mm

Step-by-step explanation:

34-16=18

18/2=9

Answer:

A : 25

Step-by-step explanation:

In a neutral atom, the number of electrons is equal to the number of protons. The atomic number indicates the number of protons.

The mass number is the sum of the number of neutrons and the number of protons.

mass number=protons+neutrons

As we know from the atomic number, the number of neutrons is 14 and the number of electrons is 11.

mass number = 14 + 11

Answer:

The surface area is 900cm^2

Step-by-step explanation:

Multiply 3 and 10 to get 30

Then square 30 by multiplying 30 x 30, to get 900.

Answer:

The Surface of the area is 30.

Step-by-step explanation:

Multiply 3 and 10. And you get 30. Hoped this helped : )

Answer: Approximately 20 miles per gallon

Step-by-step explanation:

The line of best fit is an approximate average. In order to predict the fuel efficiency you just estimate the place where x = 4800 and see what the y value of the line is for that point. In this case it's around 20 miles per gallon.

9514 1404 393

Answer:

  9, the sum of the numbers given in the ratio

Step-by-step explanation:

The reduced ratio 2 : 7 means that two parts correspond to one length and 7 parts correspond to the other length. That is, there are a total of 2+7 = 9 parts in the full length of the segment.

It is convenient to think of the line segment as being divided into 9 equal parts.

_____

Additional comments

It is often helpful to consider the total number of "ratio units" in a given ratio. For example, in this problem, the shorter segment is 2/9 of the whole, and the longer one is 7/9 of the whole.

It can also be useful to consider what a "ratio unit" represents. If the whole segment is 27 inches long, then each of the 9 ratio units will represent 3 inches, for example. This means the division 2:7 is 2(3 in):7(3 in) = 6 in : 21 in.

Answer:

So the length will be the same as the length of the torso