I hope this helps you
a=4
b=9
c= -1
disctirminant =b^2-4ac
disctirminant =9^2-4.4. (-1)
disctirminant =97
x1=-9+square root of 97/2.4= -9+square root of 97/8
x2= -9-square root of 97/2.4= -9-square root of 97/8
1) we calculate the volume of the first carton:
volume=length x width x height
volume=3 ft * 2 ft * 2 ft=12 ft³
Therefore:
A machine can fill 12 ft³ in 3 seconds.
2) we calculate the volume of the second carton.
volume=length x width x heigth
volume=4 ft * 5 ft * 6 ft=120 ft³
3) we calculate the time that the machine needs for fill the second carton with packing material by the rule of three.
12 ft³---------------------3 seconds
120 ft³-------------------- x
x=(120 ft³ * 3 seconds) / 12 ft³=30 seconds.
answer: 30 seconds.
Answer:
They are parallel
Step-by-step explanation:
Same slope but different y-intercept
Answer:
<h2>$4.7</h2>
Step-by-step explanation:
step one:
Let the cost be y
to solve for the cost of a movie ticket, we need to solve the expression
y=2.75+0.10x
step two:
given that x is the number of years between 1980-2000
the number of years is 20years
put x= 20 in the expression for the cost we have
y=2.75+0.10(20)
y=2.7+2
y=$4.7
We have 1.2 × 10^(-4) x 6.25 × 10^(-5 ) = 7,5 x 10^(-9) = 75 x 10^(-10) square kilometers.