keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

so we're really looking for the equation of a line whose slope is 1/2 and passes through (-4 , 1)

We can figure this out using the explicit formula.

n represents the term we are looking for.
f(1) represents the first term in the sequence, which in this case, is 7.
d represents the common difference, which in this case, is +3.
f(n) = 7 + 3(n - 1)
f(n) = 7 + 3n - 3
f(n) = 4 + 3n
Now, we can input 214 for n and solve.
f(214) = 4 + 3(214)
f(214) = 4 + 642
f(214) = 646
The 214th term in this sequence is 646.
1/6(12z-18)=2z-3
12/6z-18/6 =2z-3
2z-3=2z-3
there are infinite solutions for this equation or all real numbers
Answer:
13/102
Step-by-step explanation:
In a standard deck of 52 cards, there are 13 black spades, 13 black clubs, 13 red diamonds and 13 red hearts. There are 26 <u>black </u>cards in the deck of 52 cards.
Probability of drawing a black card = 26/52 = 1/2
Suppose we drew the black card. There are now <u>only 51</u> cards left in the deck. ALL of the hearts are still there - <u>13</u> of them.
Probability of drawing a heart from this deck of 51 = 13/51
In general, for the probability of event A <u>and then</u> event B, we multiply.
1/2 x 13/51 = 13/102