Rate of flow of water in the fish tank will be given by:
rate=volume/time
the rate of our tank is 15 gallons every 10 minutes. Thus,
rate=15/10=1.5 gallons/ minute
Therefore time taken for the tank to overflow will be:
time=volume×rate
volume of the tank=315 gallons
rate=1.5 gallons per minute
hence:
time=315×1.5
=472.5 minutes
=7 7/8 hours=7.875 hours
Answer:
D
Step-by-step explanation:
4x+1=13
4x=12
X=3
2x+y=8x-2y
2(3)+y=8(3)-2y
6+y=24-2y
3y=18
Y=6
16² = 18² + 19² - 2(18)(19)cos(z)
256 = 324 + 361 - (684)cos(z)
256 = 685 - (684)cos(z)
-429 = -684cos(z)
cos(z) = -429/-684
z = cos⁻¹ (0.627)
z = cos⁻¹ (cos 51) [ Cos 51 = 0.627 ]
z = 51
In short, Your Answer would be: 51
Hope this helps!
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Answer:
(a) The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept
Step-by-step explanation:
If we take the "steepness" of the slope to be the absolute value of the slope, then the line y=-10x +6 has a slope with a steepness of 10.
The line y -36 - 8(x -4) has a slope with a steepness of 8, so the first line is steeper.
The line y=-10x+6 has a y-intercept of 6. The line y-36 =8(x -4) has a y-intercept of 4, so the first line has a higher y-intercept.
The appropriate description of the two lines is ...
The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept