Answer:
120
Step-by-step explanation:
Think about the eight letters A B C D E F G H, if A and B (or any two letters) are already chosen then you want to know how many ways 6 letters can fill 3 spaces when order matters, in other words the letters F G H are considered 1 outcome with the first two letters and G F H is considered another individual outcome with the first two letters. If order didn't matter then F G H and G F H with the first two letters would be considered only one outcome.
Answer:
5. a) 5b
b) 3b + 2b
Step-by-step explanation:
a) b + b + b + b + b is the same as
5 * b or 5b
b) 5b = 3b + 2b
or 3 * b + 2* b = 5b
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Its the last one. I just took the quiz on edge.
Step-by-step explanation: The scale factor is 5. You mutiply 5 with the coordinates. J is (-3,2) so multiply 5 and -3 which is -15 then do the same thing with 2 which equals 10. J'=(-15,10)
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Answer:
Correct answer: C. 936π ft³
Step-by-step explanation:
The formula for the volume of a sphere is:
V = 4/3 r³ π
Let the radius of the first sphere be r₁ = 3 ft and the second r₂ = 9 ft
Increasing the volume of the sphere is equals to the difference of V₂ and V₁
ΔV = V₂ - V₁ = 4/3 r₂³ π - 4/3 r₁³ π = 4/3 π ( r₂³ - r₁³ ) = 4/3 π ( 9³ - 3³ )
ΔV = 4/3 π ( 729 - 27 ) = 4/3 π · 702 = 4 · 234 · π = 936 π ft³
ΔV = 936 π ft³
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