Dorene purchased a chocolate bar in a shape of a triangular prism at the local candy store.If the chocolate bar has a base area of 12 square units and a height of 8 units, how many cubic units of chocolates did dorene bu

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Answer 1

Answer: Base area x Height
12 x 8 = 96 cubic units

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The sum of remainders obtained when x3+(k+8)x +k is divided by x-2 and when it is divided by x+1 is 0 fine the value of k

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Answer: k=-5

Step-by-step explanation:

The remainder theorem says that for any polynomial p(x) , if we divide it by the binomial x−a , the remainder is equal to the value of p(a) .

Therefore for $p(x)=x^3+(k+8)x+k$ if it is divided by x-2 and x+1 then its remainder must be p(2) and p(-1)

where, $p(2)=2^3+(k+8)2+k=8+2k+16+k=3k+24$

$p(-1)=(-1)^3+(k+8)(-1)+k=-1-k-8+k=-9$

According to the question,

p(2)+p(-1)=0

$\Rightarrow3k+24-9=0\n\Rightarrow3k+15=0\n\Rightarrow3k=-15\n\Rightarrow\ k=(-15)/(3)\n\Rightarrow\ k=-5$

Karen bought a handbag for $55. Agnes spent 1.5 times as much on hers. How much did Agnes spend?

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82.50?? I think because I just multiplied them.

Explain the difference between 331/3% and 33%

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1/3 and 33.3 percent are nearly equivalent. 1/3 is actually equal to 33.33333333% (with never ending 3s at the end), so 1/3 is slightly greater than 33.3% (which has only one 3 after the decimal place).

The bed of a pickup truck measures 4 feet by 8 feet to the nearest inch, what is the length of the longest thin metal bar that will lie flat in the bed

Answers

The bed of the truck is a rectangle, 4-ft wide and 8-ft long.

The diagonal of the rectangle is

   √ (4² + 8²)

   = √ (16 + 64)

   = √ (80)

   = 8.9442... feet

8.9442... feet = 8 feett 11.33 inches

Rounded to the nearest inch:    8 ft 11 in .

Can someone please check my answer? thank you