I hope this helps you
V=pi.r^3.4/3
Answer:
(-1, 1)
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
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
3 + 2x - y = 0
-3 - 7y = 10x
<u>Step 2: Rewrite systems</u>
3 + 2x - y = 0
- Add <em>y</em> to both sides: 3 + 2x = y
<u>Step 3: Redefine systems</u>
y = 2x + 3
-3 - 7y = 10x
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -3 - 7(2x + 3) = 10x
- Distribute -7: -3 - 14x - 21 = 10x
- Combine like terms: -14x - 24 = 10x
- Add 14x on both sides: -24 = 24x
- Divide 24 on both sides: -1 = x
- Rewrite: x = -1
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define original equation: -3 - 7y = 10x
- Substitute in <em>x</em>: -3 - 7y = 10(-1)
- Multiply: -3 - 7y = -10
- Add 3 to both sides: -7y = -7
- Divide -7 on both sides: y = 1
<u>Step 6: Graph</u>
<em>Check the solution set.</em>
Answer:
In geometry, an intersection is a point, line, or curve common to two or more objects (such as lines, curves, planes, and surfaces). The simplest case in Euclidean geometry is the intersection of two distinct lines, which either is one point or does not exist if the lines are parallel.
Step-by-step explanation:
The IQR is the difference between Q3 and Q1.
First we need to get the data from the stem and leaf plot:
10, 23, 23, 28,] [33, 45, 80, 90
Since there are 8 data items Q1 would be the median of the lower half (4 items), both are 23 so Q1 is 23.
Q3 is the median of the upper half, since the middle numbers are not the same we need to average 45 and 80. (45 + 80)/2 = 62.5 so Q3 = 62.5
IQR = 62.5 - 23 = 39.5
Answer:
1/36
Step-by-step explanation:
Each die has six sides, so there is always a 1/6 chance. The chances just continue to get slimmer as you go.