Answer:
180 minutes
Step-by-step explanation:
Starting with the distance formula ...
d = rt
dividing by the coefficient of t will give an equation for t:
t = d/r
Ryan's rate of 4 miles per hour can be expressed in minutes as 4 miles per 60 minutes. The Ryan's time is ...
t = (12 mi)/(4 mi/60 min) = 12·60/4 min = 180 min
Ryan's time is 180 minutes.
Step-by-step explanation:
<span> Direct-substituting x = -2 gives 0/0, so we know that by the factor theorem, both the numerator and denominator have a factor of x + 2. From there, we can cancel out the conflicting factors and apply the limit.
We can factor the numerator and denominator to get:
x^3 - x^2 - x + 10 = (x + 2)(x^2 - 3x + 5)
x^2 + 3x + 2 = (x + 2)(x + 1).
So we have:
lim (x-->-2) (x^3 - x^2 - x + 10)/(x^2 + 3x + 2)
= lim (x-->-2) [(x + 2)(x^2 - 3x + 5)]/[(x + 2)(x + 1)]
= lim (x-->-2) (x^2 - 3x + 5)/(x + 1), by canceling out x + 2
= [2^2 - 3(-2) + 5]/(-2 + 1)
= (4 + 6 + 5)/(-1)
= -15.
I hope this helps! </span>
Answer:
35 is greater than the other options.Step-by-step explanation:
Answer:
10 weeks or 9.625 weeks
Step-by-step explanation:
$500 plus 10% sales tax is $550
he already has 165
550-165 =385
385/40=9.625
or rounded to the nearest whole number 10
Answer:
c ≥ 9
Hope this helps!
Step-by-step explanation:
1/2(c+1) ≥ 5
c+1 ≥ 10
c ≥ 9