Step-by-step explanation:
the formula for the sum of the first n terms of a geometric sequence is
Sn = s1(1 - r^n)/(1 - r)
with r being the common ratio and s1 is the first term.
so,
S15 = 7×(1 - (-3)¹⁵)/(1 - -3) = 7×(1 - -14,348,907)/4 =
= 7×14,348,908/4 = 7×3,587,227 = 25,110,589
-13is negative and is 13 spaces away from 0. 15 is positive and is 15 spaces away from 0.
The image of the stem-and-leaf plots is in the attachment.
Answer: (a) 31 years; (b) 59 years; (c) 56 years
Step-by-step explanation: Steam and leaf is a table that shows the digits of the data value split into a "stem", which represents the first digit, and a "leaf", which is the last digit.
For example, the first row of the table in the attachment, indicate a "stem" 2 and the first number of a "leaf" is 1, so the actress has 21 years.
(a) According to the table, the youngest actor to win an Oscar has a "stem" 3 and the first "leaf" from the right is 1, so the actor has 31 years.
(b) The oldest actress is 80 and the youngest is 21, so difference is:
80 - 21 = 59
The difference is 59 years.
(c) The oldest age shared by 2 actors is 56 years.
Answer:
Step-by-step explanation:
Transformation from figure 1 to figure 2,
Translation of figure 1 by 6 units to the left.
Transformation of figure 1 to figure 3,
Reflection of figure 1 across y-axis.
Transformation from figure 1 to figure 4,
Translation of figure 1 by 6 units to the left and 4 units down.
Transformation from figure 1 to figure 5,
Translation of figure 1 by 3 units left and 6 units down.
Transformation from figure 1 to figure 6,
Reflection of figure 1 across x-axis.
The formula is y=mx+4 but I forgot how to do it