Step-by-step explanation:
T = k * sqrt(d), where k is a real constant.
When d = 6, T = 5.
k = T / sqrt(d) = 5 / sqrt6.
Therefore when d = 3, T = (5 / sqrt6) * sqrt3 = 3.53.
Take the sequence in 1a
The 10th term is 31
The 20th is 61
If you wanted to find these by continuing the series, you'd have to add 3 to the last number in the series, then 3 more, then 3 more, until you reach the 20th term. By this point, you will have added 3 to the first term 19 times. That's where the formula comes from. So here,
a = 4, the first term
n = 20, the number of the term we need
d = 3, how much we're adding each time between one term and the next
Then, to get the 20th term,
4 + (20 - 1) • 3 = 4 + (19 • 3) = 4 + 57 = 61
Answers
The 10th and 20th terms of each sequences are
a. 31; 61
b. 48; 98
c. 47; 97
(in <em>c</em>, you're adding the same <em>d</em> as in the sequence above, but your first term is one unit less)
d. -25; -75
(same thing as before, but now, <em>d</em> is negative)
e. 11.5; 16.5
(with <em>d</em>=1/2 or 0.5)
f. 6+1/2; 8+1/2
Use these to check your answers after applying the formula, but know that I calculated on the fly and didn't check these.
Answer: factorizar x de x ^ 2 + 5x.
x (x + 5)
Step-by-step explanation:
Answer:
The classmate's only error is that the slope of the parallel line should be 3 aswell.
Step-by-step explanation:
Parallel lines always have the same slope to each other
Answer: Blue felt = 20*2.5 = 5074-50=24 yards of red24/20 = 1.2 each student gets 1.2 yards of red felt So the answer is 1.2 Yards.each of his 20 students gets 2.5 yards of blue felt for the project. He also gives each student an equal amount of red felt.
Step-by-step explanation:
