Answer:
Step-by-step explanation:
First, we need to find the sequence associated to the summation. As you can see the sum only takes odd numbers into account. Hence the sequence it is defined by:
Where:
Now, we only need to find the limits of the summation:
Evaluating n=1
Evaluating n=50
Therefore the summation can be written as:
Answer:
b = 20 cm.
Step-by-step explanation:
<u>Define and explain:</u>
This is a right triangle, so the Pythagorean Theorem applies.
The Pythagorean Theorem states that the sum of the squared legs will equal the squared length of the hypotenuse.
The legs of a triangle are the sides that form the right angle.
The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.
<u>Solve:</u>
<u>Conclude:</u>
Therefore, the length of the unknown side is 20 centimeters.
Answer:
La última página que Sandra deberá leer es la página 380.
Step-by-step explanation:
Sandra y Roberto tienen un libro de 760 páginas y se lo dividen, la pregunta es ¿Cuál es la última página que debería leer Sandra de tal manera que ella y Roberto pasen la misma cantidad de tiempo leyendo la novela?
Para que ambos pasen la misma cantidad de tiempo leyendo la novela, tendrían que dividirse el libro a la mitad, por lo que cada uno debería leer 760 ÷ 2 = 380 páginas.
Por lo que Sandra deberá leer de la página 1 a la 380 y Roberto leerá de la 381 a la 760.
Por lo tanto, la última página que Sandra deberá leer es la página 380.
Answer: All real numbers
Step-by-step explanation: The domain should be all real numbers, there are no restrictions
<span>2.8 x 10^6 N
We have 9.8 x 10^7 J or 9.8 x 10^7 kg*m^2/s^2 of work done through a distance of 35 meters. Since work is defined as force over distance, that means that:
F * 35m = 9.8 x 10^7 kg*m^2/s^2
Solving for F, gives
F * 35m = 9.8 x 10^7 kg*m^2/s^2
F = 9.8 x 10^7 kg*m^2/s^2 / 35m
F = 2.8 x 10^6 kg*m/s^2
F = 2.8 x 10^6 N
So the force exerted by the tugboat is 2.8x10^6 Newtons.</span>
