Answer:
See below
Step-by-step explanation:
<u>The sequence given</u>
<u>We see the pattern: triple the previous term plus 1</u>
- 2) 19 = 6*3 + 1
- 3) 58 = 19*3 + 1
- 4) 175 = 58*3 + 1
<u>Next two terms</u>
- 5) 175*3 + 1 = 526
- 6) 526*3 + 1 = 1579
<u>Following two terms</u>
- 7) 1579*3 + 1 = 4738
- 8) 4738*3 + 1 = 14215
Answer:
C, Linear
General Formulas and Concepts:
<u>Algebra I
</u>
- Linear - Proportional relationship y = mx + b
- Nonlinear - Any graph that has a degree x higher than 1
Step-by-step explanation:
<u>Step 1: Define</u>
y = 7x + 14
<u>Step 2: Identify</u>
We see a linear equation (proportional relationship). Therefore, we have a linear equation.
First, you need to write to expressions to model each situation:
Plan A: 10+0.15x
Plan B: 30+0.1x
Next, set the expressions equal to each other and solve for x:
10+0.15x=30+0.1x
<em>*Subtract 0.1x from both sides to isolate the variable*</em>
10+0.05x=30
<em>*Subtract 10 from both sides*</em>
0.05x=20
<em>*Divide both sides by 0.05*</em>
x=400
The plans would have the same cost after 400 minutes of calls.
To find how much money the plans cost at 400 minutes, plug 400 into either expression. We'll use Plan A:
10+0.15(400)
10+60
70
The plans will cost $70.
Hope this helps!
Answer:
The correct answer is A. 9.4 inches.
Step-by-step explanation:
Given that the volume of a boys' basketball is 434 cubic inches, and Dan would like to get a ball with half the volume for his son, to determine what is the diameter of the ball that Dan will buy for his son, the following calculation has to be done, knowing that the volume of a sphere is four thirds multiplied by pi multiplied by the radius cubed:
4/3 x 3.14 x X ^ 3 = 434
4.186 x X ^ 3 = 434
X ^ 3 = 434 / 4.186
X = 3√ 103.662
X = 4.7
In turn, since the radius of a sphere is equal to half its diameter, the diameter of the basketball is 9.4 inches (4.7 x 2).
