Answer:
288 small fish.
Step-by-step explanation:
The first thing is to calculate the volume of the prism, which would be the area of the base (length by width) and that by the height, that is:
a = l * w * h
l = 6
w = 4
h = 4
Replacing
a = 6 * 4 * 4
a = 96 cubic feet
they tell us that per cubic foot there is room for 3 small fish, therefore:
96 * 3 = 288
Which means that there are 288 small fish.
Answer:
y= 2x+5
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient. Hence m=2.
Subst. m=2 into the equation:
y=2x +c
Now substitute a coordinate.
When x= -2, y=1,
1= 2(-2) +c
1= -4 +c
c= 1 +4
c=5
Thus, the equation of the line is y= 2x +5.
Th term of an arithmetic sequence:
We have to find the difference (d)
an=a₁+(n-1)d
Data:
a₁=-7
a₁₈=95
95=-7+(18-1)d
95+7=17d
17d=102
d=102/17
d=6
Now, we can calculate the 35 th term of an arithmetic sequence:
a₃₅=-7+(35-1)*6
a₃₅=-7+34*6
a₃₅=-7+204
a₃₅=197
Answer: the 35th term of this arithmetic sequence is 197. (a₃₅=197)
A prime number<span> has only two factors: 1 and itself. A</span>composite number<span> has more than two factors. The</span>number<span> 1 is neither </span>prime<span> nor </span>composite<span>. The </span>prime numbers<span> between 2 and 31 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 and 31 since each of these </span>numbers<span> has only two factors, itself and 1.</span>
Step-by-step explanation:
answer is in photo above
