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3 years ago

D. 3, 7, 13, 21, 31. Cual es la expresión algebraica??

Mathematics

1 answer:

ololo11 [35]3 years ago

3 0

Answer:

d. 3, 7, 13, 21, 31.

Cual es la expresión algebraica??

Step-by-step explanation:

d. 3, 7, 13, 21, 31.

Cual es la expresión algebraica??d. 3, 7, 13, 21, 31.

Cual es la expresión algebraica??

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If a=2b^3 and b= -1/2c ^-2,express a in terms of c.

ElenaW [278]

Answer:

Part 1) $a=-\frac{1}{4c^6}$

Part 2) $a=-\frac{1}{4c^{-6}}$

Step-by-step explanation:

Part 1) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2}c^{-2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{1}{2}c^{-2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}$

therefore

$a=-\frac{1}{4c^6}$

Part 2) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{c^{2}}{2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})$

simplify

$a=-\frac{c^{6}}{4}$

therefore

$a=-\frac{1}{4c^{-6}}$

6 0

3 years ago

A town is fencing a rectangular field that is 200 feet long and 150 feet wide. At $10 per foot, how much will it cost to fence t

labwork [276]

Perimeter of a rectangle is

2*width + 2*length

then multiply the perimeter by the cost per foot

2*(150ft) + 2*(200ft)

300ft + 400ft

700ft

700ft * $10/ft

$7000

6 0

3 years ago

Mark owns a personal training business. He makes a total of $500 for every 3 clients he acquires. How much money will 21 clients

IRISSAK [1]

Answer:

$3,500

Step-by-step explanation:

500:3

3x7=21

500x7=3,500

$3,500 for 21 cilents

8 0

3 years ago

Read 2 more answers

ANSWER NEEDED QUICKLY, RIGHT ANSWER WILL RECEIVE BRAINLIEST ♦️

Oksi-84 [34.3K]

111km

the ratio is 1:15 so you do 7.4×15

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3 years ago

Read 2 more answers

How many cubes with the side lengths of 1/2 cm does it take to fill the prisim?

My name is Ann [436]

Answer:

Number of cubes that fills the prism=24

Step-by-step explanation:

The number of cube that completely fill the prism=Volume of Prism/Volume of cube with side 1/2 cm=0.5 cm

Volume of the prism= $Length*Width*Height$

$Length=2 cm\\\\ Width=1 cm\\ \\ Height=3/2 cm = 1.5 cm$

Volume of Prism = $2*1*1.5$

$=3.0 cm^3$

Volume of the Cube:

$Side*Side*Side\\\\=0.5*0.5*0.5$

$= 0.125 cm^3$

Number of cubes that fills the prism:

$3.0/0.125\\\\=24 cubes$

So, the number of cubes that can fill the prism is '24'

8 0

3 years ago