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saul85 [17]
3 years ago
10

How to express volume of a cube as a monomial

Mathematics
1 answer:
MrRa [10]3 years ago
8 0

Answer:

V=27c^{18}d^{6}\ units^3

Step-by-step explanation:

The complete question in the attached figure

we know that

The volume of a cube is equal to

V=b^3

where b is the length side of a cube

In this problem we have

b=3c^{6}d^{2}

substitute in the formula

V=(3c^{6}d^{2})^3

V=(3)^{3}(c^{6})^{3}(d^{2})^{3} -----> by power of a product

V=(3)^{3}(c^{6*3})(d^{2*3}) ----> by power of a power

Simplify

V=27c^{18}d^{6}\ units^3

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If I deposit $100,000 in a retirement account that gives 8 % paid annually, what will be balance after 25 years?
Zinaida [17]

Answer:

$300,000

Step-by-step explanation:

To find 8% of 100,000 all you need to do is multiply 100,000 by .08.

100,000 (.08) = 8,000

The 8,000 accounts for one year, so now you have to multiply 8,000 by 25.

8,000 (25) = 200,000

Now add the initial amount to the additional 200,00 that will be paid to the retirement account.

100,000 + 200,000 = 300,000

The answer is $300,000.

6 0
2 years ago
To express a number in one unit as an equivalent value of another unit
ddd [48]
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.
4 0
2 years ago
What is the height of the prism if the surface area is 460 mm2?
8_murik_8 [283]
The answer of this question is B
5 0
3 years ago
Read 2 more answers
A cone has a diameter of 30 in. and a slant height of 17 in. What is the approximate volume of the cone?
Alex777 [14]
We need to find the height of the cylinder
pythagorean theorem
15 is the bottom leg (30/2=15)
17 is hypotonuse
b=height
15^2+b^2=17^2
225+b^2=289
minus 225 both sides
b^2=64
sqrt both sides b=8

Vcone=(1/3)hpir^2
d/2=r=30/2=15
h=8
V=(1/3)8pi15^2
V=(1/3)8pi225
V=8pi75
V=600pi
aprox pi=3.14159256
V=1884.955536 in^3
round if nececary
7 0
3 years ago
I'll give 100 brainly points, i just need help...plz
Solnce55 [7]

Answer:

  • A. (x^{2/7})(y^{-3/5})

Step-by-step explanation:

<u>The numerator is:</u>

  • \sqrt[7]{x^2}  = (x^2)^{1/7} = x^{2/7}\\

<u>The denominator is:</u>

  • \sqrt[5]{y^3}  = (y^3)^{1/5} = y^{3/5}

<u>The fraction is equivalent to:</u>

  • \frac{x^{2/7}}{y^{3/5}} =
  • (x^{2/7})(y^{-3/5})

Correct choice is A

4 0
3 years ago
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