Answer:
at 2/3 seconds
Step-by-step explanation:
S1(t) = t³ + 2
Average speed, dS1/dt = 3t²
S2(t) = t²
Average speed, dS2/dt = 2t
The distance between the objects is
dS1/dt - dS2/dt
= 3t² - 2t
The time the distance between the two object is at minimum is when the distance is 0
That is, when
3t² - 2t = 0
t(3t - 2) = 0
t = 0 or 3t - 2 = 0
t = 0 or t = 2/3
Answer:
The answer is perpendicular to the base.
Step-by-step explanation:
Answer:
0.4476 degrees.
Step-by-step explanation:
Let θ be the angle between the beam and the road. The given values form a right triangle with the distance that the beam drops ( h=3 in) being the side opposite to θ and the distance in front of the car (x=32 ft or x=384 in) being the side adjacent to θ.
Therefore, θ is given by:
The angle between the beam and the road is 0.4476 degrees.
Answer:
<h2>
y = -3/2x + 9/2</h2>
Step-by-step explanation:
first let's convert the equation to y=2/3x+5
since the line is perpendicular we know that m=-3/2=1.5. now we just need to plug these numbers into an equation.
3=(-1.5)1+b
multiply.
3=-1.5+b
now add 1.5 to both sides of the equation.
4.5=b
change that into a fraction.
9/2.
now using 9/2 as b and -3/2 as m we have our equation:
<h2>
<u>y = -3/2x + 9/2.</u></h2>
The answer to this question would be: $1888.33/semi-month
To answer this question you need to convert the annual into semi-monthly. Annual mean every 1 year or every 12 months. Semi-monthly mean two times a month. Then the equation would be: $45,320 / year x (1 year/12month) x (1 month/2 semi-month) = $1888.33/semi-month
