Answer:
V = 36 1/4 in.^3
Step-by-step explanation:
V = LWH
L = 3 5/8 in.
W = 2 1/2 in.
H = 4 in.
V = (3 5/8)(2 1/2)(4) in.^3
Change the mixed numerals to fractions.
<em>To change the mixed numeral a b/c to a fraction, do this: </em>
<em>a b/c = (ac + b)/c</em>
V = (3 * 8 + 5)/8 * (2 * 2 + 1)/2 * 4/1
V = (24 + 5)/8 * (4 + 1)/2 * 4/1
V = 29/8 * 5/2 * 4/1 in.^3
V = 580/16 in.^3
V = 145/4 in.^3
V = 36 1/4 in.^3
Let X = number of minutes.
Plan A = 50 + 0.04X
Plan B = 60 + 0.02X
50 + 0.04X = 60 + 0.02X
Subtract 50 from each side:
0.04X = 10 + 0.02X
Subtract 0.02X from each side:
0.02X = 10
Divide both sides by 0.02
X = 10 / 0.02
X = 500
It will take 500 minutes.
Answer:
Hence, Grasshopper will land on the ground after 1.5 sec.
Step-by-step explanation:
It s given that:
The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function:
Now we are asked to find:
In how many seconds will the grasshopper land on the ground?
i.e. we have to find the value of t such that h(t)=0
i.e.
i.e. we need to find the roots of the given quadratic equation.
On solving the quadratic equation or plotting it's graph we could observe that the point where h(t)=0 are:
As time can't be negative hence we will consider:
Hence, grasshopper will land on the ground after 1.5 sec.
Answer:
Step-by-step explanation:
You are given the relation
This means that
The input values of this relation are , so the domain of this relation is
The output values of this relation are , so the range of this relation is
Answer: (1,3)
Step-by-step explanation:
Find the place where the two lines cross. That’s your answer! It’s (1,3).