Using JAVA:
int sum = 0;
int k = 1;
while(sum <= 2000) {
sum += 3*k*k;
k++;
}
System.out.println(k);
Output: 14
Which means it will take 14 terms for the series to surpass 2000
Answer:
...none of them are correct, but if i had to choose, it'd be A.
Step-by-step explanation:
Answer:
802+6 tenths.
Step-by-step explanation:
802 is not apart of the decimal. (I might sound stupid but I dont remember expanded form as much.) Only the 6 is apart of the decimal itself. 802 is just numbers. The 6 is pretty much the decimal.
Answer:
n = 36
Step-by-step explanation:
The opposite sides of a parallelogram are congruent , that is
AB = DC , substitute values
n - 5 = 
n + 7 ( multiply through by 3 to clear the fractions )
2n - 15 = n + 21 ( subtract n from both sides )
n - 15 = 21 ( add 15 to both sides )
n = 36
From A to B...
distance formula : sqrt ((x2 - x1)^2 + (y2 - y1)^2
(-3,1)....x1 = -3 and y1 = 1
(1,3)....x2 = 1 and y2 = 3
sub
d = sqrt ((1 - (-3)^2 + (3 - 1)^2
d = sqrt ((1 + 3)^2 + 2^2
d = sqrt (4^2 + 2^2)
d = sqrt (16 + 4)
d = sqrt 20
d = 4.47 miles...so from A to B, it was 4.47 miles
from B to C
d = sqrt ((x2 - x1)^2 + (y2 - y1)^2
(1,3)....x1 = 1 and y1 = 3
(5,-1)...x2 = 5 and y2 = 1
sub
d = sqrt ((5 - 1)^2 + (-1 - 3)^2
d = sqrt ((4^2 + (-4^2)
d = sqrt (16 + 16)
d = sqrt 32
d = 5.66......but keep in mind, he only drove half-way...so 5.66/2 = 2.83 miles
for a total of : 4.47 + 2.83 = 7.3 miles <===
