La propiedad (a, byc son números reales, variables o expresiones algebraicas)1. Propiedad de distribución a • (b + c) = a • b + a • c2. Propiedad conmutativa de la adición a + b = b + a3. Propiedad conmutativa de la multiplicación a • b = b • a4. Propiedad asociativa de la adición a + (b + c) = (a + b) + c
By using cross mutliplication, there are 24 gallons in the water tank after 30 minutes.
<h3>How to estimate the filling time of a water tank by cross multiplication</h3>
According to the statement the water tank is full at constant rate, 10 % tank capacity per each 5 minutes. The tank has a capacity of 40 gallons. The gained capacity is determined by the following cross multiplication, where the water capacity is directly proportional to filling time:
x ∝ t
x = (n / 100) · V × (T / t) (1)
Where:
- n - Initial capacity percentage of the water tank, in percentage.
- V - Full capacity of the water tank, in gallons.
- T - Final time, in minutes.
- t - Initial time, in minutes.
x = [0.1 · (40 gal)] × (30 min / 5 min)
x = 24 gal
There are 24 gallons in the water tank after 30 minutes.
To learn more on cross multiplication: brainly.com/question/15209325
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Answer:
B.) The graph of m(x) is wider.
Both graphs open upward.
Both have the axis of symmetry x = 0.
The vertex of m(x) is (0, 4); the vertex of n(x) is (0, 0).
Step-by-step explanation:
When the coefficient before x² is greater than 1, the curve of the graph is narrower. When the coefficient is less than 1, the curve of the graph is wider.
When the coefficient in front of x² is positive, the graph opens upwards. When the coefficient is negative, the graph opens downwards.
The axis of symmetry is the "x" value which divides the curve into two equal sections. Their axis of symmetry are both x = 0 because their vertexes (the lowest point of the curve) are both at x = 0.
The vertex can be found by plugging x = 0 into both of the equations and then solving. The resulting value is the "y" position of the vertex.
m(0) = 0.7(0)² + 4 n(0) = (0)²
m(0) = 0 + 4 n(0) = 0
m(0) = 4
Therefore, the vertexes are m(x) = (0,4) and n(x) = (0,0).
Answer:
I HAVE NO CLUE
Step-by-step explanation: