Answer:
x < 2
Step-by-step explanation:
If 2x + 3 is less than 7, then 2x alone must be less than 4.
2x + 3 < 7
2x < 4
If 2x is less than 4, then x must be less than 2.
2x < 4
x < 2
Answer:
L = 5 m
Step-by-step explanation:
The ladder, the vertical wall and the ground form a right triangle. We call A and B the ends points of the ladder ( at the wall, and the ground)
If we call L the lenght of the leadder, we get
L² = y² + x²
Taking derivatives on both sides of the equation
0 = 2y Dy/dt + 2x Dx/dt
We know that Dy/dt = - 0,675 m/s (is sliding down , is decreasing)
And when x = 3 m Dx/dt = 0,9 m/s
So we can get y
0 = 2y*( -0,675) + 2*3*0,9
1,35y = 5,4
y = 5.4 /1,35 ⇒ y = 4
And L² = y² + x² ⇒ L = √ (4)² + (3)² ⇒ L √16 + 9
L = 5 m
Answer:
1030 cm^3 (1030.30 cm^3)
Step-by-step explanation:
The volume of a cube is a side length cubed (x^3).
If you have a side of 10 cm (10^3 = 1000) the volume would be 1000 cm^3. To find the volume of a cube with side lengths 10.1 cm, use the formula x^3.
10.1^3 --> (10.1)(10.1)(10.1) = 1030.301
The cube would be 1030.30 cm^3, or if rounded to the nearest whole number 1030 cm^3.
Since the question explicitly stated that ice production is proportional to time, we're going to have to use proportion fractions. Remember to convert hours into minutes as well.