Here, we are required to identify the dependent and independent variables, the dependency relationship in the situation.
- The independent and dependent variables are the weight of the dog and the amount of food it should respectively.
- The dependency relationship is thus; The amount of food a dog should eat is a function of the weight of the dog
- The dependency relationship using the function notation is; f(x) = {function of x}.
- The independent variable in this situation is the weight of the dog while the amount of food the dog should eat is the dependent variable. The above is evident from the statement; <em>T</em><em>he amount of food a dog should eat depends on the weight of the </em><em>dog</em><em>.</em>
- <em>According</em><em> </em><em>to </em><em>the </em><em>premise</em><em> </em><em>given </em><em>in </em><em>the </em>question, it is evident that the dependency relationship is;. The amount of food a dog should eat is a function of the weight of the dog
- The dependency relationship can be written mathematically using the function notation as;. f(x) = {function of x}.
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Step-by-step explanation:
g(f(-6)) = g( 4(-6)+3) =g(-21) = -21-2 =-23
Step-by-step explanation:
First you divide the numerator and the denominator by 10, it leaves you with 1500/21 , now you again divide the numerator and denominator by 3 and you get 500/7.
Remember, you ought to divide the numerator and the denominator only by the numbers which are their common factors or in a more easier way, you only divide them by a number which divides them both simultaneously.
Answer:
La masa del recipiente vacío es 1,2146 kg.
Step-by-step explanation:
La densidad se define como la propiedad que tiene la materia, ya sean sólidos, líquidos o gases, para comprimirse en un espacio determinado. En otras palabras, la densidad es una magnitud que permite medir la cantidad de masa que hay en determinado volumen de una sustancia. Entonces, la expresión para el cálculo de la densidad es el cociente entre la masa de un cuerpo y el volumen que ocupa:
Entonces la masa puede ser expresada como:
masa= densidad*volumen
En este caso:
- densidad del agua= 1000
- volumen del recipiente cilíndrico= π*radio²*altura= π*(5 cm)²* 10 cm= π*(0,05 m)²*0,1 m= 7,854*10⁻⁴ m³
Reemplazando:
masa= 1000 * 7,854*10⁻⁴ m³
masa=0.7854 kg
Si la masa del recipiente lleno es de 2 kg, entonces se le resta la masa de agua calculada:
2 kg - 0,7854 kg= 1,2146 kg
Entonces,<u><em> la masa del recipiente vacío es 1,2146 kg.</em></u>
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