Answer:
1. $11.50 2a. 25 2b. Decrease by 10
Step-by-step explanation:
1. Let's write Marietta's wage before a raise as x
$12.25 = x + $0.75
$12.25 - $0.75 = x
x = $11.50
2a. Let's substitute p with the actual value ($170)
170 = 8n - 30
200 = 8n
n = 200/8 = 25
2b.
p = 8*25 - 40
p = 200 - 40 = 160
160 < 170 so the profit decreased
It decreased by 10 (170 - 160).
Answer:
When the input is 4, the output of f(x) = x + 21 is 25.
Step-by-step explanation:
The given function is
Here, x is input and f(x) is output.
We need to find the output of the given function f(x) if the input is 4.
Substitute x=4 in the given function.
So, the output value is 25.
When the input is 4, the output of f(x) = x + 21 is 25.
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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This solution shows that 6 is included in the solution due to the equal sign and not true for the inequality 4x − 5 < 19 since 6 is excluded
<h3>Inequality expression</h3>
Inequalities are equation not separated by an equal sign
Given the inequality expression
4x − 5 ≤ 19
4x ≤ 19 + 5
4x ≤ 24
x≤ 6
This solution shows that 6 is included in the solution due to the equal sign and not true for the inequality 4x − 5 < 19 since 6 is excluded
Given the equation
4x + 3 = 23
4x = 23 - 3
4x =20
x = 5
Hence 5 is the solution from the given set
Learn more on inequality here: brainly.com/question/24372553
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