Answer:
Step-by-step explanation:
Box A is 0.021 dollars per gram
Box B is 0.012 dollars per gram
Box B is cheaper per gram by 0.009 dollars
<span>Cone Volume = (<span>π<span> • r² •<span> h) ÷ 3
Original cone = (3.14 * 6^2 * 12) / 3
</span></span></span></span>
<span><span>Original cone = 452.16
</span>
cc
</span>Larger cone = <span>(3.14 * 6^2 * 18) / 3 = </span>
<span>
<span>
<span>
678.24
</span>
</span>
</span>
cc
Difference = <span>(678.24 -452.16) = </span>
<span>
<span>
<span>
226.08
</span>
</span>
</span>
cc
Answer:
f(3) = g(3)
General Formulas and Concepts:
<u>Algebra I</u>
- Reading a Coordinate Graph
- Coordinates (x, y)
- Solving systems of equations by graphing
- Functions
- Function Notation
Step-by-step explanation:
According to the graph, we see that both lines intersect at <em>x</em> = 3. Therefore, that means both lines at that <em>x</em> point will have the same <em>y</em> value. Both f(3) and g(3) would equal 6, leading us to the answer of f(3) = g(3).
Answer:
the probability of an adult getting a NEG result and truly having tuberculosis is 0.0127
Step-by-step explanation:
S = the adult really has tuberculosis.
S' = complement of S = the adult does not has tuberculosis.
POS = the test gives a positive result
P(S)= 0.05
P(POS | S)=0.746
P(NEG | S')= 0.7653
this is an intersection because the "and" word
P(NEG ∩ S) = P(NEG| S)*P(S)=(1-P(POS | S))*P(S)=(1-0.746)*0.05=0.0127
Let the base of the ladder be x ft and the extension be y ft.
"when fully extended, a ladder is 28 feet in length."
means: x+y=28
"<span>the extension is 4 feet shorter than the base</span>"
means: y=x-4, that is x-y = 4, (taking y to the side of x, and -4 to the other side of x and y)
thus, we have the system of equations:
1) x+y= 28
2) x-y=4
adding the 2 equations, we have:
(x+y)+(x-y)=28+4
2x=32
x=32/2=16
x+y=28, so 16+y=28, thus y=12
Answer: Base: 16, Extension 12
