Luke: 2 miles in 40 minutes, 20 minutes a mile, (2/40 = 20 minutes a mile)
Luke's speed is 3 miles an hour (60minutes/20minutes a mile = 3miles).
Sally: 0.05 miles a minute, 60 minutes in an hour, 60 x 0.05 = 3 miles an hour. Or 0.05 miles a minute, 40 minutes walked, 40 x 0.05 = 2 miles walked.
There are a few other ways to show that they are accurate rates.
So yes, they are both correct rates.
The minutes cancel out leaving you with:
= 3.2 revs per second.
The wheel does
3.2 revolutions per second.
Answer:
Step(iii)
The value of 'f' = 3
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given - 12 = 4(f-6)
Multiply
- 12 = 4 f - 24
<u><em>Step(ii):-</em></u>
- 12 = 4 f - 24
Adding '12' on both sides, we get
- 12 + 12 = 4 f - 24 + 12
0 = 4 f - 12
4f - 12 =0
4 f = 12
<u><em>Step(iii):</em></u>-
Dividing '4' on both sides, we get
f = 3
Answer:
y = x³ + 10.5x² + 31x + 13
Step-by-step explanation:
Complex roots (roots that have imaginary terms) always come in conjugate pairs. So if one root is -5 + i, there's another root that's -5 − i.
So the polynomial is:
y = (x + 1/2) (x − (-5 + i)) (x − (-5 − i))
Distributing:
y = (x + 1/2) (x² − (-5 + i)x − (-5 − i)x + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 5x − ix + 5x + ix + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 10x + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 10x + 25 + 5i − 5i − i²)
y = (x + 1/2) (x² + 10x + 25 + 1)
y = (x + 1/2) (x² + 10x + 26)
y = x(x² + 10x + 26) + 1/2(x² + 10x + 26)
y = x³ + 10x² + 26x + 1/2x² + 5x + 13
y = x³ + 10.5x² + 31x + 13
Answer: 84.5%
Step-by-step explanation:
15.2 × 15.2 = 231.04 cm² (area of the entire large square)
5.98 × 5.98 = 35.76 cm² (area of the small square)
large square - small square = area of the blue region
231.04 - 35.76 = 195.28 cm² (area of the blue region)
= percentage of time that the point will be in the blue region
= 0.845 --> 84.5%