The correct answer is: [B]: " 3 " .
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Note:
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The question asks:
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If (5⁴)ᵐ = 5¹² ; then what is "m" ?
Note the following property of exponents:
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(xᵃ)ᵇ = x⁽ᵃ*ᵇ⁾ ; a≠0 ; b ≠ 0 ;
Then, (5⁴)³ = 5⁽⁴ * ³⁾ = 5¹² .
So, "12 ÷ 4 = 3" .
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The answer is: "m = 3" ; which is: Answer choice: [B] .
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Answer:
y = -2x + 4
Step-by-step explanation:
y = mx + b
m ---> slope
b ----> y-intercept
y = -2x + 4
Answer:
Part 1
Given equation:
C(t) = -0.30 (t – 12)² + 40
For t = 0
C(t) = -0.30 (0 - 12)² + 40
C(t) = -0.30 (-12)² + 40
C(t) = -3.2
For t = 12 (noon)
C(t) = -0.30 (12 - 12)² + 40
C(t) = -0.30 (0)² + 40
C(t) = 40
For t = 24 (midnight)
C(t) = -0.30 (24 - 12)² + 40
C(t) = -0.30 (12)² + 40
C(t) = -0.30 × 144 + 40
C(t) = - 43.2 + 40
C(t) = -3.2
Part 2
attached below
Part 3
C(t) = –0.30(t – 12)² + 40
F(t)=9/5C(t)+32
Substituting the values:
F(t)=9/5{–0.30 (t – 12)² + 40}+32
F(t) = -0.54 (t – 12)² + 72 + 32
F(t) = -0.54 (t – 12)² + 104
5, 6 and 7, should be simplish
good luck, i hope this helps :)
Step-by-step explanation:
