HELP! Please show full solutions. Will mark brainliest for THE BEST ANSWER. THANK YOU.
2 answers:
Answer:
Step-by-step explanation:
Micky:
Distance covered = 30 Km {Leg A}
Speed = x Kmph
Minnie:
Distance covered = 20 Km {Leg B}
Speed = y Kmph
b) x = 35 Km/h
y = 25 Km/h
Answer:
See Below
Step-by-step explanation:
A)
There are two runners that run at different average speeds, let these be Ra (runner a) and Rb (runner b). We also have two differnt distances that can be ran, let Leg A La and Leg b Lb. We get the equation bellow:
B)
Mickey = 35km/h
Minnie = 25km/h
Leg A = 30
Leg B = 20
Since Mickey is the fastes, he should run the section with the longest distance:
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9514 1404 393
Answer:
- ratio: 2
- sum: 765
- product: 1,761,205,026,816
Step-by-step explanation:
The general term of a geometric sequence is ...
an = a1×r^(n-1)
Here, we're given that the first term is a1 = 3. From the 8th term, we can find the common ratio, r.
a8 = 384 = 3r^7
128 = r^7 . . . . . . . . divide by 3
2 = r . . . . . . . . . 7th root
The common ratio is 2.
__
The sum of the terms of a geometric series is ...
Sn = a1×(r^n -1)/(r -1)
For the known values of a1 and r, the sum o 8 terms is ...
S8 = 3×(2^8 -1)/(2 -1) = 3(255) = 765
The sum of the first 8 terms is 765.
__
The product of the first 8 terms will be ...
(3)(3×2)(3×2^2)(3×2^3)...(3×2^6)(3×2^7) = (3^8)(2^(1+2+3+...+7))
= (3^8)(2^28) = 6561 × 268,435,456
Many calculators cannot report the full value of this product. (Many spreadsheets can.)
The product of the first 8 terms is 1,761,205,026,816.
_____
In the attached, we found the value of r that made the 8th term be 384 by solving the equation 3×r^7 -384 = 0. The value is shown on the graph as the x-intercept of the exponential function. That x-intercept is 2, so r=2 (as above).
