MATHEMATICS HIGH SCHOOL

A box is x inches high, (2x + 3) inches wide, and (2x + 5) inches long. In terms of x, what is the volume (V) of the box?A) V = 4x3 + 15x


B) V = 4x3 + 4x2 + 5x


C) V = 4x3 + 4x2 + 15x


D) V = 4x3 + 16x2 + 15x

Answers

Answer 1
Answer: V = lwh
V = x(2x + 3)(2x + 5)
V = x(2x(2x + 5) + 3(2x + 5))
V = x(2x(2x) + 2x(5) + 3(2x) + 3(5))
V = x(4x² + 10x + 6x + 15)
V = x(4x² + 16x + 15)
V = x(4x²) + x(16x) + x(15)
V = 4x³ + 16x² + 15c

The answer is D.

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Answers

k=(7)/(20)

Find the LCM of 8,9, and 12

Answers

It's very simple, take a look.

8, 9, 12 | 2
4, 9,  6  | 2
2, 9, 3  |  2
1, 9, 3  | 3
1, 3, 1  | 3
1,  1, 1

2² * 3² *2 = 72


LCM(8,9,12) = 72
The LCM of 8, 9, and 12 is 72. That is the Lowest Common Multiple. 

The lateral faces of a regular triangular prism are _____.isosceles triangles
equilateral triangles
parallelograms
rectangles

Answers

The lateral face of a prism is it's side, so it would be rectangle, D.
 
"lateral, of, at, toward, or from the side or sides."

The lateral side of a triangular prism would be a rectangle, like in this picture. 
The picture shows two quadrilateral triangles as the faces of the prism, and three rectangles as the lateral sides.

Answer: parallelograms.  

Step-by-step explanation:

The lesson states that the lateral faces of a prism are parallelograms.

X^4-30x^2+125=0 solve the equation by making an approproate substitution

Answers

x^4-30x^2+125=0\n \n \boxed{y=x^2}\n \n y^2-30y+125=0\n \n \Delta=(-30)^2-4.1.125=900-500=400\n \n y=(30 \pm20)/(2)\n \n y_1=5\n \n y_2=25\n

x^2=5\Rightarrow x=\pm\sqrt5\n \n x_2=25 \Rightarrow x=\pm5\n \n S=\{-\sqrt5,\sqrt5,-5,5\}
x^4-30x^2+125=0 \n \nt=x^2\n\nt^2-30t+125=0\n\na=1, \ \ b=-30, \ \ t=125 \n \n\Delta =b^2-4ac = (-30)^2 -4\cdot1\cdot 125 = 900-500=400

x^(2)=t \n \nx^(2)=5 \ \ or \ \ x^2 = 25\n\nx^(2)-5=0 \ \ or \ \ x^2 - 25=0\n\n (x-√(5)) (x+√(5))=0 \ \ \ or \ \ \(x-5)(x+5)=0 \n\nx=√(5)\ \ or \ \x= -√(5)\ \ or \ \ x=5 \ \ or \ \ x=-5 \n\nAnswer : \ x=\left \{ -5,\ -√(5),\ √(5), \ 5 \right \}

Find the surface area of the cylinder formed by the net. Use 3.14 for π.

Answers

Answer:

138.23

Step-by-step explanation:

  • 2·π·4·1.5+2·π·42
  • estimated to 138.23

Answer:17.27

Step-by-step explanation: add subtract  and multiply.

What is 16+(48/8)
and please do not give me a fraction i want a whole number for this answer, thank you

Answers

Answer: If the entry is a fraction only, leave the whole number field blank. This is the greater of the two entries. After determining which entry is greater, the compare fractions calculator will show its work and give a detailed explanation of each step it took to arrive at the answer.

Step-by-step explanation:

the answer 22
The answer is 22, because if you divide 48 by 8 you will get 6. ( You have to solve what’s in the brackets first!)
Then after you get 6, you will do 16+6 which equals to 22
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