$20,000
In word form. he has twenty three thousand five hundred and fifty six, so we look to the digit next to the thousands, 3, and since its below 5, we keep 2 the same.
Answer:
x4−9x3+27x2−27x : ) Your welcome
Hello,
Vertices are on a line parallele at ox (y=-3)
The hyperbola is horizontal.
Equation is (x-h)²/a²- (y-k)²/b²=1
Center =middle of the vertices=((-2+6)/2,-3)=(2,-3)
(h+a,k) = (6,-3)
(h-a,k)=(-2,-3)
==>k=-3 and 2h=4 ==>h=2
==>a=6-h=6-2=4 (semi-transverse axis)
Foci: (h+c,k) ,(h-c,k)
h=2 ==>c=8-2=6
c²=a²+b²==>b²=36-4²=20
Equation is:
Answer:
Step-by-step explanation:
Find the sum of the first 42 terms of the following series, to the nearest integer.
2,7,12
Solution
The sum is given by
SUM_n=n/2*(a_1+a_n)
a_n=a_1+(n-1)d
a_1=2, n=42, d=5
The 42nd term is therefore given by
a_42=2+(42-1)5=207
SUM_42=42/2*(2+207)=21*209=4389
The sum of the first 42 terms of the series, therefore, is 4389
Answer:
Step-by-step explanation:
The explicit formula for the n-th term of an arithmetic sequence is ...
an = a1 + d(n -1)
where a1 is the first term and d is the common difference.
The sequence of seat counts has a1=5 and d=10, so the explicit formula is ...
an = 5 +10(n -1)
___
The 7th term is ...
a7 = 5 +10(7 -1) = 65