Answer:
8 laps
Step-by-step explanation:
Assuming in the equation given than n represents the number of laps run and t represents the time in minutes, when we plug in 16 in for t and simplify we get:
n=5/10*16
n=1/2*16 (Simplify the fraction by dividing top and bottom by 5)
n=16/2 (Multiply the fractions together by writing 16 as 16/1 and multiplying straight across)
n=8
Answer:
There are many examples for the first request, but none for the second.
Step-by-step explanation:
a) There is a theorem which states that the sum of two convergent sequences is convergent, so any pair of convergent sequences (xn), (yn) will work (xn=1/n, yn=2/n, xn+yn=3/n. All of these converge to zero)
If you meant (xn) and (yn) to be both divergent, we can still find an example. Take (xn)=(n²) and (yn)=(1/n - n²). Then (xn) diverges to +∞ (n² is not bounded above and it is increasing), (yn) diverges to -∞ (1/n -n² is not bounded below, and this sequence is decreasing), but (xn+yn)=(1/n) converges to zero.
b) This is impossible. Suppose that (xn) converges and (xn+ýn) converges. Then (-xn) converges (scalar multiples of a convvergent sequence are convergent). Now, since sums of convergent sequences are convergent, (xn+yn+(-xn))=(yn) is a convergent sequence. Therefore, (yn) is not divergent and the example does not exist.
Answer:
340:85
Step-by-step explanation:
4+1=5
425/5
85
85x4=340
Answer:
Day 35
Step-by-step explanation:
<u>7</u> x 5 = 35
<u>5</u> x 7 = 35
They are both multiples of 35
Answer:
10
Step-by-step explanation:
