The cardinality of the set B is given to be 96.
<h3>What is the cardinality of a set?</h3>
This is the term that is used to refer to the number of elements that a given set can be said to contain.
This is a set that has numbers that ranges from 5 to 100, this tells us that the numbers 1, 2, 3, 4 are excluded from the set.
Hence the total numbers excluded is 4. 100 - 4 = 96
Therefore from 5 to 100, the total 9 and the cardinality of the set B is 96.
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So since we know what x is, we can substitute it into the original equation for x like so to solve for y...
(2y - 8) + 5y - 10 = 0
2y - 8 + 5y = 10
2y + 5y = 18
7y = 18
y = 18/7 (or about 2.57)
So now we know what x is, we can sub it into the below equation to solve for x...
x = 2(18/7) - 8
x = 36/14 - 8 (or about -5.43)
Answer:
The value of x is -29.
Step-by-step explanation:
We are given an algebraic equation and have one goal: solve for x. We can use simplifying techniques as well as addition and subtraction to solve this equation.
Now that we have solved for x, we can plug in -29 to see if we get a true statement.
Because we ended up with a true statement, we have determined that the value of x is -29.
El volumen que queda entre la esfera y el cubo es: 30.49cm^3
<h3>
¿Como calcular el volume sobrante?</h3>
El volumen sobrante será simplemente la diferencia entre el volumen del cubo y el volumen de la esfera.
Para el cubo que tiene una arista de 4cm, el volumen es:
V = (4cm)^3 = 64 cm^3
Para la esfera con un diametro de 4cm, el radio es:
R = 4cm/2 = 2cm
Y el volumen será:
V' = (4/3)*3.141592654*(2cm)^3 = 33.51 cm^3
El volumen que queda entre la esfera y el cubo es:
V - V' = 64 cm^3 - 33.51 cm^3 = 30.49cm^3
Sí quieres aprender más sobre volumenes:
brainly.com/question/1972490
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