Answer:
Volume = (2890 and 5/8) inches^3
Step-by-step explanation:
Height = 12 and 1/2inches = 25/2
Width = 12 and 1/2inches = 25/2
Length = 6 inches > width = 6 + width
= 6 + (12 and 1/2) = 18 and 1/2
Length = 18 and 1/2 inches = 37/2
Volume of prism = length × breadth × height
Volume of rectangular prism = (25/2)×(25/2)×(37/2)
Volume of rectangular prism = (23125/8) inches^3
Volume of rectangular prism = (2890 and 5/8) inches^3
Answer:
Calvin's first step is to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4 is the correct step
That is
Calvin's step is the correct step.Because this is the correct way to do simplify the rational expression. And also because Nadine made a blender mistake in her operations in step
Step-by-step explanation:
Given that Nadine and Calvin are simplifying the expression (StartFraction r Superscript negative 5 Baseline s Superscript negative 3 Baseline Over r Superscript 8 Baseline s Superscript negative 2 Baseline EndFraction) Superscript negative 4
Their expression can be written as below

Nadine's first step is to simplify the expression is to raise the numerator and denominator to the power of 4 to get StartFraction r Superscript negative 20 Baseline s Superscript negative 12 Baseline Over r Superscript 32 Baseline s Superscript 8 Baseline EndFraction
That is 
Calvin's first step is to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4
That is 
Now simplify the given expression to check whose step is correct:

( using the property
)


Therefore 
Therefore Calvin's first step is to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4 is the correct step.
That is
Calvin's step is the correct step .Because this is the correct way to do simplify the rational expression.And also because Nadine made a blender mistake in her operations in step
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Hello,
f(x)=-(x-4)²=-(x²-8x+16)=-x²+8x-16
Answer B