Hello :
<span>the nth term in a geometric sequence where is ;
an = a1 ×qn .... q : common ratio a1 the first term
exempl :
C) an = 2×3^n-1
an =2×3^n ×3^-1
an =(2/3)×3^n
a1 = 2/3 and q= 3
same method for : D
</span>
Answer:
it would take 40 pounds of pressure to break the board.
Step-by-step explanation:
Now we plug in the numbers of force and length
Now we multiply both sides by 2.5 to get rid of the fraction.
Now we plug in our variation constant
So we convert the length of 2.5 feet into inches. This is 18 inches. Since there are 12 inches in one foot, we have that 18 inches is equal to 18 divided by 12.
18÷12=1.5
We get that 18 inches is equal to 1.5 feet
we plug L = 1.5 into our inverse variation equation and solve for F.
This simplifies to F = 40
If you have any questions feel free to ask in the comments - Mark
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You have not provided the options, but this solution is an equation that will work:
Answer:
4 / 7 = x
Step-by-step explanation:
Since the total material is 4 feet long, we can divide 4 feet by 7, the number of equal pieces cut, to see how long each piece is.
This gives us an answer of 4/7 or about 0.571
Answer:
A is the answer.
Step-by-step explanation:
A fraction plus a fraction is equal to a fraction. An irrational number cannot be expressed as a fraction.
0.3333333 even though it looks like an irrational number it is actually: 1/3
3/5 is already a fraction so adding it with another fraction will NOT equal an irrational number (decimal)
-0.75 is equal to -3/4 (75/100 => 3/4). Same thing that applies above.
However, Pi cannot be expressed as a fraction exactly. You can round up like 3.14. However it is not the full number. So 3.141592654....+(3/4) is not going to add up perfectly into a fraction.
In short, a fraction is a rational number. Rational + Rational = Rational. Irrational + Rational = Irrational.
