Answer:
9 · x - 16
Explanation:
Nine times a number: 9 · x
Decreased by 16: - 16
Put them together: 9 · x - 16
Answer:
they are rational numbers
Step-by-step explanation:
Any fraction with integers in numerator and denominator is a rational number.
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5, 6, 7, 11 are integers, so the fractions 5/11 and 7/6 are rational numbers.
Answer:
-1/2
Step-by-step explanation:
just trust me, idk how to explain it
Answer:
<h2>
0.0526ft/min</h2>
Step-by-step explanation:
Since the gravel being dumped is in the shape of a cone, we will use the formula for calculating the volume of a cone.
Volume of a cone V = πr²h/3
<em>If the diameter and the height are equal, then r = h</em>
V = πh²h/3
V = πh³/3
If the gravel is being dumped from a conveyor belt at a rate of 20 ft³/min, then dV/dt = 20ft³/min
Using chain rule to get the expression for dV/dt;
dV/dt = dV/dh * dh/dt
From the formula above, dV/dh = 3πh²/3
dV/dh = πh²
dV/dt = πh²dh/dt
20 = πh²dh/dt
To calculate how fast the height of the pile is increasing when the pile is 11 ft high, we will substitute h = 11 into the resulting expression and solve for dh/dt.
20 = π(11)²dh/dt
20 = 121πdh/dt
dh/dt = 20/121π
dh/dt = 20/380.133
dh/dt = 0.0526ft/min
This means that the height of the pile is increasing at 0.0526ft/min
Answer:
Maura runs faster
Step-by-step explanation:
Set them up as fractions:
miles / hours, then divide to
compare the results:
Maura: 5 / 1.25 = 4 MPH
Ava: 3 / .83 = 3.6 MPH
