Find an explicit formula for the arithmetic sequence 12, 5, -2, -9,...12,5,−2,−9,...12, comma, 5, comma, minus, 2, comma, minus,
Andrew [12]
Answer:
A(n) = 19 - 7n
Step-by-step explanation:
12, 5, -2, -9,...
First term, a = 12
Common difference, d = a2 - a1
a2 = 5
a1 = 12
Common difference, d = a2 - a1
= 5 - 12
= -7
d = -7
A(n) = a + (n - 1)d
A(n) = 12 + (n - 1) -7
= 12 + (-7n + 7)
= 12 - 7n + 7
= 12 + 7 - 7n
= 19 - 7n
A(n) = 19 - 7n
A. True. This is because distances are preserved and kept the same.
B. True. Moving any point to it's corresponding image is having you travel 8 units.
C. True. Corresponding angles are congruent.
D. False. This is not always true so in general it's false.
The final answer is choice D
Answer:
8% or 0.08
Step-by-step explanation:
Probability of missing the first pass = 40% = 0.40
Probability of missing the second pass = 20% = 0.20
We have to find the probability that he misses both the passes. Since the two passes are independent of each other, the probability that he misses two passes will be:
Probability of missing 1st pass x Probability of missing 2nd pass
i.e.
Probability of missing two passes in a row = 0.40 x 0.20 = 0.08 = 8%
Thus, there is 8% probability that he misses two passes in a row.
9514 1404 393
Answer:
$126
Step-by-step explanation:
110% more than 100% is 210% of his June earnings:
july = 2.10×$60 = $126
Silva is projected to make $126 in July.
_____
As always, you can think of % and /100 as being interchangeable.
210% = 210/100 = 2.10
2.8y + 6 + 0.2y = 5y – 14
Simplify the left side:
3y +6 = 5y-14
Subtract 3y from both sides:
6 = 2y -14
Add 14 to each side:
2y =20
Divide both sides by 2:
y = 20 / 2
y = 10
