Answer:
C. The relationship between two variables is linear when it is represented by a straight line and nonlinear when it is represented by a curved line.
Step-by-step explanation:
The definition of "linear" is "related by a straight line". The definition of "non-linear" is "not related by a straight line." One simply needs to understand the definitions in order to choose the correct statement.
Answer:
1. 18.84 in
2. 56.52 cm
Step-by-step explanation:
The circumference of a circle is the distance around the circle. Its found using the formula C = πd or C=2πr. The variable d represents the diameter or the distance from one edge of the circle to the other through the cent. The variable r represents the radius of a circle or the distance from one edge to the center. Use the formula by substituting a diameter or radius then simplify.
1. C = πd = π(6) = 3.14(6) = 18.84 in
2. C = 2πr = 2(3.14)(9) = 56.52 cm
0.015x+0.03(12000-x)=300
Solve for x
X=4000 at 1.5%
12000-4000=8000 at 3%
We need to find the base x in the following equation:
First, lets convert 365 from base 7 to base 10. This is given by
where the upperindex denotes the position of eah number. This gives
that is, 365 based 7 is equal to 194 bases 10.
Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:
where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives
Now, we have all number in base 10. Then, our first equation can be written in base 10 as
For simplicity, we can omit the 10 and get
so, we can solve this equation for x. By combining similar terms. we have
and by moving 197 to the right hand side, we obtain
Finally, we get
Therefore, the solution is x=5
Answer:
$8.80
Step-by-step explanation:
In order to find the new price, you need to add 60% of the original price (5.50) to the original price. You have two options:
1) multiply $5.50*0.6 to get 60% of the original price. You would get $3.30. Then add $3.30+$5.50, which equals $8.80. This way takes longer but shows you all the steps.
2) The shorter way is to simply multiply $5.50*1.6, which also equals $8.80. This works because the "1" automatically adds the 5.50 to 60% of the original price, this way you don't have to multiply then add.
If you don't understand how the second way works or your teacher taught you #1, just do it the first way.
