Answer:
Step-by-step explanation:
<u>The Inverse of a Function</u>
The procedure to find the inverse of the function is:
* Write the function as a two-variable equation:
* Solve the equation for x.
Multiply by 3x-1
Divide by y:
Sum 1:
Operate the right side:
Divide by 3:
* Swap the variables:
Write back into function form:
Answer: figures 1 and 3 i think
Step-by-step explanation:
16/9=64/36 18/12 doesnt
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:
a) 91.4%
b) 37.6%
c) 26.8%
Step-by-step explanation:
For each of these, we'll get a z-score, then use our calculators to find the area using normalcdf (on TI-84, 2nd->VARS->2)
a) z = (9-6.4) / 1.9 = 1.368
normalcdf(-999,1.368) = .914 = 91.4%
b) z = (7-6.4) / 1.9 = .316
normalcdf(.316,999) = .376 = 37.6%
c) normalcdf(.316,1.368) = .268 = 26.8%
Answer:
b (4,-2)
Step-by-step explanation:
i dont really know how to explain it tbh
