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Jlenok [28]
1 year ago
10

When you do this please show the work

Mathematics
1 answer:
mart [117]1 year ago
7 0

Answer:

2) \displaystyle -9a^3b^5

1) \displaystyle \frac{x^8}{3}

Step-by-step explanation:

2) \displaystyle \frac{(27a^3b^3)(-2ab^4)}{6ab^2} \Rightarrow \frac{(3ab)^3(-2ab^4)}{6ab^2} \\ \\ \boxed{-9a^3b^5} \rightarrow \frac{-54a^4b^7}{6ab^2}

1) \displaystyle \frac{16x^{10}y^2}{48x^2y^2} \Rightarrow \frac{(-4x^5y)^2}{48x^2y^2} \\ \\ \boxed{\frac{x^8}{3}}

The Quotient-to-Power Rule states that whenever you are dividng like-terms, you <em>keep</em> the coefficients and deduct the exponents.

I am joyous to assist you at any time.

You might be interested in
Three vans can carry<br> 18 adults. How many<br> adults are in 7 vans?
Goshia [24]

Answer:

42

Step-by-step explanation:

18/3= 6

6x7= 42

8 0
2 years ago
Read 2 more answers
A manufacturer has cube shaped cardboard boxes with an exact volume of 12000 cubic inches. What is the volum of the largest sphe
vladimir1956 [14]

Answer:

6283 in³

Step-by-step explanation:

The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.

Since the cardboard box is in the shape of a cube, its volume V = L³

So, L = ∛V

Since V = 12000 in³,

L = ∛(12000 in³)

L= 22.89 in

So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2

So, V = 4π(L/2)³/3

= 4πL³/8 × 3

= πL³/2 × 3

= πL³/6

= πV/6

= π12000/6

= 2000π

= 6283.19 in³

≅ 6283.2 in³

= 6283 in³ to the nearest whole cubic inch

6 0
3 years ago
The circumference is 1 mile. What is the diameter?
iren2701 [21]

Answer:

Step-by-step explanation:

circumference  = 2* pi * radius = 1

-> radius = 0.1592 mile

-

> diameter = 2* radius = 0.31847 mile

8 0
3 years ago
An ant crawls at a rate of 216 ft per minute.
AysviL [449]
First, we need to understand the speed formula:

The time used = distance ÷ rate

In this case, the time needed would be:

5 1/5 ÷ 2 1/6
= (5×5+1)/5 ÷ (2×6+1)/6
=26/5 ÷ 13/6

When there is division in an equaiton, we can swap the nominator and denominator of the fraction amd change it to multiplication:

=26/5 × 6/13
= (13 x 2)/5 x 6/(13 x 1)

Factorize 26 and 13,we get:

=2/5 x 6/1
= 12/5 ft or 2.4 ft

Therefore the answer is 12/5ft or 2.4ft.

Hope it helps!
8 0
3 years ago
Please help somebody
Dmitry [639]

Answer:

C

Step-by-step explanation:

ok so, assuming that b cannot equal 0, we can divide it on both sides

(3a - 5)/c = b/b

anything divided by itself is 1

(3a - 5)/c = 1

multiply c:

3a - 5 = c

3a = c + 5

a = (c + 5)/3

3 0
3 years ago
Read 2 more answers
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