Answer:
Step-by-step explanation:
The Springfield Middle School sixth-grade teachers of history, science, and art are listed in the table. How many combinations of one history, one science teacher, and one art teacher
let say number of history. teacher = H
number of science teacher = S
number of Art teacher = A
Acombinations of one history, one science teacher, and one art teacher = H * S * A
Answer:
A. y = -x -2
Step-by-step explanation:
thanks for the questions.
Answer:
the common ratio is either 2 or -2.
the sum of the first 7 terms is then either 765 or 255
Step-by-step explanation:
a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.
so,
a1
a2 = a1×f
a3 = a2×f = a1×f²
a4 = a3×f = a1×f³
the problem description here tells us
a3 = 4×a1
and from above we know a3 = a1×f².
so, f² = 4
and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).
again, the problem description tells us
a2 + a4 = 30
a1×f + a1×f³ = 30
for f = 2
a1×2 + a1×2³ = 30
2a1 + 8a1 = 30
10a1 = 30
a1 = 3
for f = -2
a1×-2 + a1×(-2)³ = 30
-10a1 = 30
a1 = -3
the sum of the first n terms of a geometric sequence is
sn = a1×(1 - f^(n+1))/(1-f) for f <>1
so, for f = 2
s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765
for f = -2
s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =
= -1×-255 = 255
Answer:
if you were looking for the solution i think it is Solution
5
+
1
2
Step-by-step explanation:
Answer:
the fourth answer
Step-by-step explanation:
this is because 6 x 10 is 60, and is you multiply the height by 3 it gives you 3(6) x 10 which can also be written as 18 x 10 which is equal to 180
divide 180 by 60 which will give you 3, this shows you that the growth from the original area to the new area is 3 times, so the ratio is 3:1
