MATHEMATICS HIGH SCHOOL

What is the simplified form of square root 48n^9?

Answers

Answer 1

Answer:

Answer:

$4n^4√(3n)$

Step-by-step explanation:

Use the exponent rules:

$\sqrt[n]{x^a} = x^{(a)/(n)}$

$\sqrt[n]{a^n} =a$

To find the simplified form of :

$√(48n^9)$

We can write 48 and $n^9$ as:

$48 = 4 \cdot 4 \cdot 3 = 4^2 \cdot 3$

$n^9 = (n^4)^2 \cdot n$

then;

$√(4^2 \cdot 3 \cdot (n^4)^2 \cdot n)$

Apply the exponent rule:

⇒ $4 \cdot n^4 \cdot √(3n)$

⇒ $4n^4√(3n)$

Therefore, the simplified form of square root 48n^9 is, $4n^4√(3n)$

Answer 2

Answer: $√(48n^9)=√(16n^8\cdot3n)=√(16n^8)\cdot√(3n)=4n^4√(3n)$

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If a jigsaw puzzle is priced 17.00 but cost 17.68 at the register what is sales tax rate

Answers

Answer:4%

Step-by-step explanation:

From the question, we are informed that a jigsaw puzzle is priced 17.00 but cost 17.68 at the register. This means that the sales tax is (17.68 - 17.00) = 0.68.

Therefore, the sales tax rate will be calculated as:

= (0.68 / 17.00) × 100

= 4%

The sales tax rate is 4%

The sales tax is 6% and the item is $110.00. How much do I add for sales tax?

Answers

$6.60

6% of $110 is 33/5
Which when divided is 6.6
And in dollars it is $6.60

Please help!!! I'll make you Brainliest!!! A manufacturer is cutting fabric into rectangles that are 18.55 in. long by 36.75 in. wide. Each rectangle's length and width must be within 0.05 in. of the desired size. Write and solve inequalities to find the acceptable range for the length i and the width w.

Answers

length=l
width=w

18.5<l<18.6
36.7<w<36.8

Hope this helps :)

the range of length: (18.50 to 18.60 in.)

the range of width: (36.70 to 36.80 in.)

Lori rode her bicycle 19.5 miles in 3 hours. Which gives the best estimate of how far Lori road in 1 hour?

Answers

Lori rode her bicycle 19.5 miles in 3 hours.
let's estimate how far Lori road in 1 hour.
=> 19.5 miles in 3 hours = 19.5 to be divided by 3 hours
=> 19.5 / 3 = 6.5
Estimate
=> 20 / 3 / = 6.7

Answer:

6.7, i am trying to help but i am bad at math so if u get it wrong look at a pro answer

Step-by-step explanation:

Carl drove to his grandmother’s house. He drove for 6 hours and averaged a speed of 55 miles per hour. At the end of 6 hours he still had 90 miles to go until he reached his grandmother’s house. What was the distance of his trip?

Answers

Answer:

420 miles

Step-by-step explanation:

Distance traveled per hour = 55 miles

Distance traveled in 6 hours = 55 * 6 = 330 miles

Distance of the trip = 330 + 90 = 420 miles

Judy built a rectangular patio that is 9 meters wide and has a perimeter of 40 meters. What is the length of Judy's patio?

Answers

Perimeter of rectangle = 2(length) +2(width)

2(l) + 2(9) = 40
2(l) + 18 = 40
2(l) = 22
l = 11

Hope I helped!

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