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stepan [7]
3 years ago
6

Mrs. Chan, the P.E. teacher, is pairing off students to race against each other. Tracy can run 4 yards per second, and Alice can

run 7 yards per second. Mrs. Chan decides to give Tracy a head start of 12 yards since she runs more slowly. Once the students start running, Alice will quickly catch up to Tracy. How far will Alice have to run? How long will that take?
Mathematics
1 answer:
NeTakaya3 years ago
3 0

Answer:

21 yards in 3 seconds

Step-by-step explanation:

we give tracy the head start of 12 yards

then see how much she increases in 3 seconds at every second .

one second shes at 16 yards, 2 seconds she's at 20 yards & thats all the info we need

Alice runs 7 yards per second & we give her 3 seconds & how many yards she runs every second.

one second 7 yards , 2 seconds 14 yards & 3 seconds 21 yards & its at the 3 second that Alice has passed her.

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Find the 9th term of the geometric sequence whose common ratio is 1/3 and whose first term is 2.
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Answer:

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Step-by-step explanation:

Geometric sequence formula : a_n=a_1(r)^n^-^1

where an = nth term, a1 = first term , r = common ratio and n = term position

given ratio : 1/3 , first term : 2 , given this we want to find the 9th term

to do so we simply plug in what we are given into the formula

recall formula : a_n=a_1(r)^n^-^1

define variables : a1 = 2 , r = 1/3 , n = 9

plug in values

a9 = 2(1/3)^(9-1)

subtract exponents

a9 = 2(1/3)^8

evaluate exponent

a9 = 2 (1/6561)

multiply 2 and 1/6561

a9 = 2/6561

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