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2 years ago

(2x^4y^-5)^3 (4x^-4y)^-2

1 answer:

8 0

$(2x^4y^{-5})^3 (4x^{-4}y)^{-2 }\ \ \ \boxed{\text{use}\ (ab)^n=a^nb^n}\\\\=[2^3(x^4)^3(y^{-5})^3]\cdot[4^{-2}(x^{-4})^{-2}y^{-2}]\ \ \ \boxed{\text{use}\ (a^n)^m=a^{nm}\ \text{and}\ a^{-n}=\dfrac{1}{a^n}}\\\\=(8x^{12}y^{-15})\left(\dfrac{1}{4^2}x^{8}y^{-2}\right)=\left(8\cdot\dfrac{1}{16}\right)(x^{12}x^{8})(y^{-15}y^{-2})\\\boxed{\text{use}\ a^n\cdot a^m=a^{n+m}}\\\\=\dfrac{1}{2}x^{20}y^{-17}=\dfrac{x^{20}}{2y^{17}}$

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What is the volume ,in cubic meter ,of a cylinder with a height of 3 neters and a base radius of 4 meters ,to the nearest theths

TEA [102]

Answer:

volume = 150.9m³

Step-by-step explanation:

in order to find the volume ,in cubic meter ,of a cylinder with a height of 3 meters and a base radius of 4 meters ,to the nearest theths place wee apply the formular for finding the volume of a cylinder which is πr²h

v = πr²h

given that

height = 3meters

radius = 4meters

volume=?

going by the formulae v= πr²h

v = π × (4)² × 3

v = π × 16 ×3

v= 48πm³

note the value of π = 22/7

v = 48 × 22/7

v = 1056/7

v= 150.87m³

therefore the volume of the cylinder to the nearest tenth place is 150.9m³

6 0

2 years ago

Isabel wrote the equation 1/2+1/6=4/6and Jonah wrote 3/6+1/6=4/6 to represent combining the pie pieces. EXPLAIN WHY BOTH EQUATIO

Alex73 [517]

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wtjfavyw

7 0

2 years ago

Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a

Vitek1552 [10]

Answer:

$2ab - 6a + 5b - 15$

Step-by-step explanation:

Given

$2ab - 6a + 5b + \_$

Required

Fill in the gap to produce the product of linear expressions

$2ab - 6a + 5b + \_$

Split to 2

$(2ab - 6a) + (5b + \_)$

Factorize the first bracket

$2a(b - 3) + (5b + \_)$

Represent the _ with X

$2a(b - 3) + (5b + X)$

Factorize the second bracket

$2a(b - 3) + 5(b + \frac{X}{5})$

To result in a linear expression, then the following condition must be satisfied;

$b - 3 = b + \frac{X}{5}$

Subtract b from both sides

$b - b- 3 = b - b+ \frac{X}{5}$

$- 3 = \frac{X}{5}$

Multiply both sides by 5

$- 3 * 5 = \frac{X}{5} * 5$

$X = -15$

Substitute -15 for X in $2a(b - 3) + 5(b + \frac{X}{5})$

$2a(b - 3) + 5(b + \frac{-15}{5})$

$2a(b - 3) + 5(b - \frac{15}{5})$

$2a(b - 3) + 5(b - 3)$

$(2a + 5)(b - 3)$

The two linear expressions are $(2a+ 5)$ and $(b - 3)$

Their product will result in $2ab - 6a + 5b - 15$

<em>Hence, the constant is -15</em>

3 0

3 years ago

(HELP!) During her visit to zoo, lvy stops by the cafe and orders a chicken fajita taco and a juice. if she pays for her order w

grin007 [14]

Answer:

Step-by-step explanation:

Chicken fajita = 3.50

Juice = 1.50

1.5+3.5=5

10-5=5

5 is the change that will be received

4 0

2 years ago

Read 2 more answers

What is the next value 4d 7g 10j 13

bearhunter [10]

13m 16p

Add three to every number next as well as move up three letters.

For example:
1A is the starting point.
To get from 1A to 4D you add three.

1 + 3 = 4
A to get to D is three letters up.
A b c D

Same thing for 4D to get to 7G.

4 +3 = 7
D to get to G
D e f G

Your answer:
I'm not sure if you wanted me to find the letter of the equation or the actual next part. On your question you have just 13 up there, no letter so if youre trying to find the letter (13m) is your answer.

If you're trying to find the next equation to the puzzle (16p) is your answer.

Hope this helped!:)

3 0

3 years ago