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3 years ago

A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.

Mathematics

2 answers:

Aneli [31]3 years ago

6 0

Answer:

Volume of box = (15−2x)(22−2x)x

C is correct.

Step-by-step explanation:

A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.

The dimension of the cardboard must be 15 x 22 because all options has same value.

We have rectangle cardboard with 15 x 22. We cut square from each corner of the board with dimension x.

New length of box = 22 - 2x

New Width of box = 15 - 2x

Height of the box = x

Volume of box is equal to volume of cuboid.

Volume of box = LBH

= (15-2x)(22-2x)(x)

Hence, The correct volume of the box is (15-2x)(22-2x)(x)

Svetlanka [38]3 years ago

3 0

Answer:

(15−2x)(22−2x)x

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Heidi and Andrew designed two raised flowerbeds for their garden. Heidi's flowerbed was 5 feet long by 3 feet wide, and Andrew's

d1i1m1o1n [39]

Answer:

$V=90\ ft^3$

Step-by-step explanation:

-Given the two heights are similar:

#Heidi's flowered bed dimensions and volume is calculated as:

$v=lwh$

$=5\times 3\times 2\\\\=30\ ft^3$

#The width of Andrew's is twice Heidi's. The width and volume is thus calculated as:

$w_a=2\times 3=6 \ ft\\\\V_a=lwh\\\\=5\times 6 \times 2\\\\=60\ ft^3$

#Total soil volume of the soil used is determined by summing the two different flowerbed volumes:

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3 years ago

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ollegr [7]

Answer:

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Step-by-step explanation:

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2 years ago

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Help: 10 points!! 13=n+ 3/fourths

disa [49]

Answer:

n = 12 1/4

Step-by-step explanation:

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3 years ago

George and Cameron went on a bycicle trip. They took a bus to their starting point, and then biked the rest. They traveled 325 k

pashok25 [27]

Answer:

Step-by-step explanation:

Let the distance travelled by bus be x and the distance travelled be bike be (x+75)

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3 years ago

Write out the first few terms of the series Summation from n equals 0 to infinity (StartFraction 2 Over 3 Superscript n EndFract

anyanavicka [17]

Answer:

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = 15/8$

Step-by-step explanation:

The sum you are trying to understand is this.

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}$

Remember that in general when you have a geometric series

$\sum\limits_{n = 0}^{\infty} a*r^n$ you have that

$\sum\limits_{n = 0}^{\infty} a*r^n = \frac{a}{1-r}$ and that equality is true as long as $|r| < 1$ .

Therefore here we have

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{3*5} \big)^n = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n$ and $\big|\frac{-1}{15} \big| = \frac{1}{15} < 1$

Therefore we can use the formula and

$\sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n = \frac{2}{1-(-1/15)} = \frac{2}{1+1/15} = 30/16 = 15/8$

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3 years ago