Answer:
A.
Step-by-step explanation:
1/5 is a rational number so A is false. Just to prove this ill show every other answer is true.
B is true because rational; numbers have a repeating pattern while irrational do not.
C is true as any number not involving i is a real.
D is true as all integers have a repeating pattern if turned into decimal form.
The key is to find the first term a(1) and the difference d.
in an arithmetic sequence, the nth term is the first term +(n-1)d
the firs three terms: a(1), a(1)+d, a(1)+2d
the next three terms: a(1)+3d, a(1)+4d, a(1)+5d,
a(1) + a(1)+d +a(1)+2d=108
a(1)+3d + a(1)+4d + a(1)+5d=183
subtract the first equation from the second equation: 9d=75, d=75/9=25/3
Plug d=25/3 in the first equation to find a(1): a(1)=83/3
the 11th term is: a(1)+(25/3)(11-1)=83/3 +250/3=111
Please double check my calculation. <span />
Answer: <em>5/8, i think :)</em>
Answer:
y = 4/3x - 10.
Step-by-step explanation:
3x + 4y = 12
4y = -3x + 12
y = -3/4x + 3
If a line is perpendicular to another, the line has a slope that is the negative reciprocal of the other line. Since the given line has a slope of -3/4, the line perpendicular to that line will have a slope of 4/3.
So far, for the equation of the line, we have an equation of y = 4/3x + b.
To find b, simply substitute the coordinates (6, -2) for x and y.
-2 = 4/3(6) + b
b + 4/3(6) = -2
b + 8 = -2
b = -10
So, the equation of the line will be y = 4/3x - 10.
Check your work...
-2 = (4/3)(6) - 10
-2 = 8 - 10
-2 = -2
Hope this helps!
The 680 tons of fuel needed to cover the next 1790 miles distance.
According to the statement
We have given that the ship covered a 1651 miles distance at 20 knots by a 580 tons of fuel oil.
And distance remaining to next port is 1790 miles and speed increases to 25 knots.
And we have to find that how much fuel used to reach that port.
So, Distance covered = 1651 mile
fuel used = 580 tons
distance covered with 1 tons fuel = 1651/580
distance covered with 1 tons fuel = 2.85 mile at a speed of 20 knots.
so, The fuel consumption for 1790 mile is = 1790/2.85
The fuel consumption for 1790 mile is = 628 tons of fuel needed.
So, The 680 tons of fuel needed to cover the next 1790 miles distance.
Learn more about Distance here brainly.com/question/1872885
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