Answer:
65 points in all
Step-by-step explanation:
3 x 3 = 9
7 x 8 = 56
56 + 9 = 65
:))
Answer:
8,11,14,17,20,23,26
Step-by-step explanation:
Q = 3n+ 5
an=3n+5
a1=3(1)+5=8
a2=3(2)+5=11
a(3)=3(3)+5=14
a4=3(4)+5=17
a5=3(5)+5=20
a6=23
a7=26
Let
x------> the length side of the square base of the box
y-------> the height of the box
we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²--------> equation 1
<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>
surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x
step 1
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm
the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm
Answer:
Its A on edge
The modulus increases by a factor of 216, and the argument increases by StartFraction pi Over 2 EndFraction.
Step-by-step explanation:
Answer: C y>3x+1
Step-by-step explanation:
- When we graph an inequality with strictly greater of less than sign ('<' or '>'), then the graph has a dashed boundary line .
- Further it indicates that it does not include the points on the line.
From all the given options , only C contains inequality with '>' sign .
Hence, y>3x+1 is the inequality has a dashed boundary line when graphed.
hence, the correct option is C.
