Answer:1) c. 5,9,13,17,21
2) a. a1=8, an=an-1 -2
Step-by-step explanation: 1) an=4n+1
⇒ a1=4×1+1=5
a2=4×2+1=9
a3=4×3+1=13
a4=4×4+1=17
a5=4×5+1=21
2) clearly a1=8 and then the terms of series are decreasing by 2
so, an=an-1 -2
Answer:
A- X= 20÷5-3
B- 20÷5=4; 4-3=1
C- X=1
Step-by-step explanation:
Okay, well we have to work backwards. 20 cookies, and she makes 5 bags. We need to find out what 'x' means. To do that, we take 20 cookies and divide it by 5. 4 cookies. Then we want to take 3 cookies out of each bag to find out how many cookies she first put in. 1 cookie.
Let's check:
bag 1:
o (one cookie)
bag 2:
o (one cookie)
bag 3:
o (one cookie)
bag 4:
o (one cookie)
bag 5:
o (one cookie)
Now we have 15 cookies left. Now let's put 3 in each:
bag 1:
o (one cookie)
v v v ( three cookies)
bag 2:
o (one cookie)
v v v ( three cookies)
bag 3:
o (one cookie)
v v v ( three cookies)
bag 4:
o (one cookie)
v v v ( three cookies)
bag 5:
o (one cookie)
v v v ( three cookies)
Now we have no cookies left, and we put 4 cookies in each. (o representing the first cookie, v representing the next three cookies)
Answer:
(Véase la explicación para mayores detalles/See the explanation for further details)
Step-by-step explanation:
a) Tres al cubo (Three to cube):



b) Seis al cubo (Six to cube):



c) Cinco al cuadrado (Five squared):



d) Ocho al cuadrado (Eight squared):



e) Dos a la quinta (Two to five):



f) Diez a la cuarta (Ten to four):



Answer:
232°
Step-by-step explanation:
There are a couple of ways to find the desired direction. Perhaps the most straightforward is to add up the coordinates of the travel vectors.
30∠270° +50∠210° = 30(cos(270°), sin(270°)) +50(cos(210°), sin(210°))
= (0, -30) +(-43.301, -25) = (-43.301, -55)
Then the angle from port is ...
arctan(-55/-43.301) ≈ 231.79° . . . . . . . 3rd quadrant angle
The bearing of the ship from port is about 232°.
_____
<em>Comment on the problem statement</em>
The term "knot" is conventionally used to indicate a measure of speed (nautical mile per hour), not distance. It is derived from the use of a knotted rope to estimate speed. Knots on the rope were typically 47 ft 3 inches apart. As a measure of distance 30 knots is about 1417.5 feet.
(3 + 2) - 3² = 5 - 9 = -4
Regards :)