Answer: 150.768
Step-by-step explanation:
The volume of the cube is 6×6×6=216 cubic inches. We have that the gold weight 0.698 pounds per cubic inch, so, to find the total weight of the cube of gold we should do 216×0.698 = 150.768. Therefore the weight of the cube is 150.768
Answer:
42.50
Step-by-step explanation:
If we get 15% off, we still have to pay (100-15) = 85% of the price
The sale price = original * percent we still have to pay
sale price = 50 *.85
42.50
Y= 2x-4
4x+Y=2
4x+2x-4=2
6x-4=2
+4=+4
6x=6
6/6X = 6/6 X=1
Y=2X-4
2(1)-4
Y=-2
Answer:
As the points are collinear, the slope of the line joining
any two points, should be same as the slope of the line joining two other
points.
Slope of the line passing through points (x
1
,y
1
) and (x
2
,y
2
) =
x
2
−x
1
y
2
−y
1
So, slope of the line joining (p,0),(0,q)= Slope of the line joining
(0,q) and (1,1)
0−p
q−0
=
1−0
1−q
−
p
q
=1−q
Dividing both sides by q,
−
p
1
=
q
1
−1
=>
p
1
+
q
1
=1
Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number.
Here we are give the initial term so we have to solve to solve for the common ratio...
a(5)=-1280 and a(1)=-5 so
-1280=-5r^(5-1)
-1280=-5r^4
256=r^4
256^(1/4)=r
4=r, so our sequence is:
a(n)=-5(4^(n-1)), so the 7th term is:
a(7)=-5(4^6)
a(7)= -20480
