You can see it's a geometric sequence because the ratio is constant (
).
The nth term of a geometric sequence:
It has to be the sum for term 4 through term 15, so n=4 and the number above the sigma is 15.
Your answer:
C = 2(pi)r....so we are looking for the radius (r)
42 = 2 * 3.14 * r
42 = 6.28r
42/6.28 = r
6.69 = r <===
Answer:
Point A is 4 units to the right and 1 unit up. (A).
Step-by-step explanation:
The reason is (4, 1) is (x, y).
x is in a horizontal line while y is in a vertical line.
In x, right is positive while left is negative.
In y, up is positive while down is negative.
Answer:
Step-by-step explanation:
First convert km to meters
143000 km = 143,000,000m = 1.43*10^8 m
Now convert 10 billion to scientific notation1 00
10 billion = 1 * 10^10
What this means is that 1 * 10^10 meters in outer space = 1 meter for the scale model.
Now show what the ratio is for
1.43*10^8
======== Divide by the denominator
1 * 10^10
1.43 * 10^(8 - 10)
1.43 * 10 ^ - 2 meters
Answer: 0.0143m or B
Answer:
(-2, -8)
x = -2
y = -8
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
13x - 6y = 22
x = y + 6
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 13(y + 6) - 6y = 22
- Distribute 13: 13y + 78 - 6y = 22
- Combine like terms: 7y + 78 = 22
- Isolate <em>y</em> term: 7y = -56
- Isolate <em>y</em>: y = -8
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x = y + 6
- Substitute in <em>y</em>: x = -8 + 6
- Add: x = -2
