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sergey [27]
3 years ago
15

Simplify. Rewrite the expression in the form k⋅y^n. (2y^4)^3

Mathematics
1 answer:
N76 [4]3 years ago
5 0

Answer:

The answer is

<h2>{8.y}^{12}</h2>

Step-by-step explanation:

(2y⁴)³

Using the rules of indices

That's

<h3>( {ax})^{b}  =  {a}^{b} . {x}^{b}</h3>

So for the above expression we have

<h3>( {2y^{4} })^{3}  =  {2}^{3} . {y}^{4 \times 3}</h3>

Simplify

We have the final answer as

<h2>8.y¹²</h2>

Hope this helps you

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Twice a number x, minus 17
LekaFEV [45]

Answer:

2x - 7

Step-by-step explanation:

Twice a number x means x times 2, which can be written as 2x

Minus 17 from 2x

7 0
3 years ago
What is the height of an equilateral triangle with side lengths of 15? round to tenths?
Vinil7 [7]
If this is an equilateral triangle, we need half of it to find the height which is a leg of a right triangle with a hypotenuse of 15.  That means that the base of this half triangle is 7.5.  Use Pythagorean's Theorem to fine the height.  x^{2} =(15) ^{2} -(7.5) ^{2}.  x = 12.99 or 13
8 0
3 years ago
A 6 cm long spring extends to 9 cm when a 1 kg load is suspended from it. What would be its length if a 2 kg load were suspended
vampirchik [111]

Answer:

12 cm

Step-by-step explanation:

To calculate the length of a spring with a 2 kg load, compare the displacement of a 1 kg load and adjust accordingly.

When a 1 kg load is suspended from the spring, the spring which is 6 cm stretches to 9 cm. This is 3 cm longer due to the weight. If you attach a weight which is twice as much then the displacement will be twice as much. Instead of stretching an additional 3 cm, it will stretch 2*3 = 6 cm. Add this to the length of the spring and it stretches in total 6 + 6 = 12 cm.

4 0
3 years ago
HELP ME PLS!! GET YOUR POINTS!!
andre [41]
The answer is b, c, and d
3 0
3 years ago
If 4/5 of a population of a certain town is considered to be middle class and the population of the town is 2000 how many people
const2013 [10]
First, you would need to create an equation for this problem.
\frac{4}{5} = \frac{x}{2,000}

Next, you would cross multiply. 
5x = 8,000

Now, all you would have to do is isolate the x. To do this, you would divide both sides by 5. 
x = <span>1,600

1,600 people are considered middle class. 

I hope this helps!</span>
8 0
3 years ago
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