Answer:
D=(3x-2)
Step-by-step explanation:
Area=length×width =3x²+7x-6
thus a=3 b=7 c=-6
W=(x+3)
since c is -6 it has to be the product of 3(from W)=-2
since a=3 multiply by x (from W) 3×x=3x
=3x-2
check if its correct.
3x-2×x+3
x(3x-2)+3(3x-2)
3x²-2x+9x-6
3x²+7x-6 thus its true
Answer
It will take (t) = 24 hours to reach 300 .
Step by step explanation
It doubles every 15 hours. initial bacteria = 100
We need to find how long it take for the bacteria cells to increase to 300.
300 = 100(2)^t/15
300/100 = 2^t/15
3 = 2^t/5
Taking "ln" both sides, we get
ln(3) = t/15 ln(2)
t/15 = ln(3)/ln(2)
t/15 = 1.585
t = 1.585 * 15
t = 23.78 hours
t = 24 hours to nearest whole hours.
Thank you.
I choose A. 0, because the angles are complementary
Step-by-step explanation:
Here 6 - 8 = 4 - 6 = 2 - 4 = 0 - 2 = - 2
Thus, the common difference between any two consecutive term is - 2.
The recursive formula is given as:
Answer:
Step-by-step explanation:
Let the side of the square base be x
h be the height of the box
Volume V = x²h
13500 = x²h
h = 13500/x² ..... 1
Surface area = x² + 2xh + 2xh
Surface area S = x² + 4xh ...... 2
Substitute 1 into 2;
From 2; S = x² + 4xh
S = x² + 4x(13500/x²)
S = x² + 54000/x
To minimize the amount of material used; dS/dx = 0
dS/dx = 2x - 54000/x²
0 = 2x - 54000/x²
0 = 2x³ - 54000
2x³ = 54000
x³ = 27000
x = ∛27000
x = 30cm
Since V = x²h
13500 = 30²h
h = 13500/900
h = 15cm
Hence the dimensions of the box that minimize the amount of material used is 30cm by 30cm by 15cm
