Answer:
Part a) 119 cups
Part b) 30 cups
Step-by-step explanation:
Part a)
step 1
Find the volume of the conical cup with a diameter of 4 in. and a height of 8 in
The volume of the cone (cup) is equal to

we have
----> the radius is half the diameter

assume

substitute

step 2
Find out how many cups of water must Carissa scoop out of the sink
Divide the volume of the sink by the volume of the cup
so

Part b)
step 1
Find the volume of the conical cup with a diameter of 8 in. and a height of 8 in
The volume of the cone (cup) is equal to

we have
----> the radius is half the diameter

assume

substitute

step 2
Find out how many cups of water must Carissa scoop out of the sink
Divide the volume of the sink by the volume of the cup
so

Answer:
y = 2(x-3)^2 - 2
Step-by-step explanation:
y = 2x^2 - 12x + 16
y = 2(x^2 - 6x + 8)
y = 2(x^2 - 6x +8 +1 -1) you "complete the square" by bringing the last term (8) up to "half of the middle co-efficient squared". Middle co-efficient is -6, half is -3, squared is 9. To get from 8 to 9 you must add 1 (+1), but if you add 1 you must subtract 1 (-1) so that you don't change the overall value of inside the bracket
y = 2(x^2 - 6x +9) - 2 (bring the -1 outside of the brackets)
y = 2(x-3)^2 - 2
Answer: 5-6i
The rule is that if f(x) has real number coefficients, then a root of x = a+bi pairs up with its conjugate pair of x = a - bi. In this case, a = 5 and b = 6.
Answer:
∠ ABC = 116°
Step-by-step explanation:
Since the angles are supplementary, they sum to 180° , that is
8x - 36 + 4x - 12 = 180
12x - 48 = 180 ( add 48 to both sides )
12x = 228 ( divide both sides by 12 )
x = 19
Then
∠ ABC = 8x - 36 = 8(19) - 36 = 152 - 36 = 116°
Answer:
Step-by-step explanation:
Given
at 9 am temperature of the body is 
1 hr later temperature 
Temperature of room 
According to newtons law



Integrating



Now at 9 am i.e. t=0,


At 10 am i.e. t=1 hr T=89



Temperature of Normal human body is 


Taking log both sides

i.e. 5 hr and 16.2 min
i.e. victim murdered at 3 am and 43.8 min