Answer:
25%
Step-by-step explanation:
28-21=7
7/28=×/100
7×100=700
700÷28=25
Answer:
When 
is subtracted from 
, the result is 
. To get 
, subtract 
from the result.
Step-by-step explanation:
✔️Subtracting from :
(Distributive property)
Collect like terms
✔️Subtracting from :
(distributive property)
Add like terms
We can create two equations here:
(1) Volume = area of square * height of box
85.75 = s^2 h
(2) Cost = 3 * area of square + 1.5 * area of side box
C = 3 s^2 + 1.5 s h
From (1), we get:
h = 85.75 / s^2
Combining this with (2):
C = 3 s^2 + 1.5 s (85.75 / s^2)
C = 3 s^2 + 128.625 s-
Taking the 1st derivative and equating dC/ds =
0:
dC/ds = 6s – 128.625 / s^2 = 0
Multiply all by s^2:
6s^3 – 128.625 = 0
6s^3 = 128.625
s = 2.78 cm
So h is:
h = 85.75 / s^2 = 85.75 / (2.78)^2
h = 11.10 cm
So the dimensions are 2.78 cm x 2.78 cm x 11.10 cm
The total cost now is:
C = 3 (2.78)^2 + 1.5 (2.78) (11.10)
C = $69.47
Answer:
x = 0, x = 0.5 or 1/2 The points on the graph are ( -1/2 or -0.5,0 ) and ( 1,0 )
Step-by-step explanation:
2x^2-x-1 = -1
2x^2-x = 0
x(2x-1) = 0
x=0
x=0.5 or 1/2
Answer:
Step-by-step explanation:
0.3
^ You need to move the three before the decimal place and leave 4 empty digits (0) between
0.3
3.0
30.0
300.0
3000.0
30000.0
A total of 5 moves.
Each move is equivalent to x, the preceding value, times 10. x * 10
Repeated multiplication times the same factor equates to exponentiation, so for a total of 5 moves, it is notated as 
, giving you an expression of:
