4/156 so
2/78 so
1/39 so approx. 2.5641%
volume of the box is 675 cubic inches
A machine produces open boxes using square sheets of plastic.
It is a square sheet so length and width are same
Lets assume length as x so width is also x
The machine cuts equal-sized squares measuring 3 inches on a side from each corner of the sheet.
After turning up the sides the height of the box becomes 3 inches
We know the volume of a box formula
Volume = Length * width * height
We know length is x , width is x and height = 3
So V = x * x * 3
Given volume = 675 cubic inches


Divide by 3 on both sides

Now we take square root on both sides
x = 15
the length of one side of the open box is 15 inches.
Answer:
- The submarine's position means the distance it traveled is greater than 24 feet
- A possible position of the submarine is -27 feet
Step-by-step explanation:
Distance is generally a positive number. (Displacement, or position may be negative, as in this case.) If the sub started at 0 feet and went lower than -24 feet, it traveled a distance of more than 24 feet (greater than 24 ft).
Of the numbers listed, the only one lower than -24 is -27.
Answer:
y = 4 
Step-by-step explanation:
For an exponential function in standard form
y = a 
To find the values of a and b, use ordered pairs from the table
Using (0, 4 ), then
4 = a
(
= 1 ), so
a = 4
y = 4
Using (1, 8 ), then
8 = 4
= 4b ( divide both sides by 4 )
2 = b
Thus
y = 4
← exponential function
Answer:
y = 4 sin( 0.5t -
) - 2
y = a sin ( 2t -
) + 2
Step-by-step explanation:
In the first question,
amplitude = 4
Period = 
phase shift = 
Vertical shift = -2
Angular velocity , w = 
Here, w =
= 0.5
The general equation of a wave is
y = a sin( wt + ∅ )
Putting above values in the equation,
y = 4 sin( 0.5t -
) - 2
In the second question,
Amplitude is not given so we will take it as a.
time period = 
w = 2
Phase shift = 
Vertical shift = 2
The equation is
y = a sin ( 2t -
) + 2