375L-240L=135L
135÷0.6=81
The pump must work for 81 min or 1hr and 21 min until the tank reaches 240L
<h2>
Answer with explanation:</h2>
1)
The vertices of X,Y and Z are:
X(-2, 0), Y(-2, -1), and Z(-5, -2)
Now, when X,Y and Z are translated by using the translation transformation:
(x,y) → (x+6,y-2)
Then we obtain the transformation:
X(-2, 0) → X′(4, -2)
Y(-2, -1) → Y′(4, -3)
Z(-5, -2) → Z′(1, -4)
The type of transformation that triangle XYZ undergoes is a translation transformation by the rule: (x,y) → (x+6,y-2)
2)
Next when we reflect the triangle X'Y'Z' across the x-axis then we obtain X"Y"Z"
Since, the rule that follow on reflecting across x-axis is:
(x,y) → (x,-y)
Hence, we get:
X′(4, -2) → X″(4, 2)
Y′(4, -3) → Y″(4, 3)
Z′(1, -4) → Z″(1, 4)
Hence, the type of transformation that triangle X′Y′Z′ undergoes is a reflection transformation (on reflecting across x-axis)
9514 1404 393
Answer:
C) 4
Step-by-step explanation:
The point-slope equation of the line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +9 = 3(x -1) . . . . . line with slope 3 through point (1, -9)
For y=0 (the 0 of the function), we have ...
9 = 3(x -1)
3 = x -1
4 = x
The x-intercept is (4, 0).
Let's analyse the function
The amplitude is A, so we want A=1.5
Now, we start at x=0, and we have 
After one second, i.e. x=1, we want this sine function to make 330 cycles, i.e. the argument must be 
So, we have
so, the function is
