MATHEMATICS HIGH SCHOOL

Which expression is equivalent to 3sqt 216x^3y^6z^126xy^2z^4
18xy^3z^6
36xy^2z^4
72xy^3z^6

Answers

Answer 1
Answer:

Answer:

Option 1

\sqrt[3]{216x^3y^6z^(12)}=6xy^2z^4

Step-by-step explanation:

Given : Expression \sqrt[3]{216x^3y^6z^(12)}

To find : Which expression is equivalent to given expression?

Solution :

The given expression is

\sqrt[3]{216x^3y^6z^(12)}

We can write it as,

=(216x^3y^6z^(12))^{(1)/(3)}

Applying power rule, (x^a)^b=x^(a* b)

=(216)^(1)/(3)(x^3)^(1)/(3)(y^6)^(1)/(3)(z^(12))^{(1)/(3)}

=(6^3)^(1)/(3)(x^3)^(1)/(3)(y^6)^(1)/(3)(z^(12))^{(1)/(3)}

=6xy^2z^4

Therefore, Option 1 is correct.

\sqrt[3]{216x^3y^6z^(12)}=6xy^2z^4
Answer 2
Answer: The equivalent expression of \sqrt[3]{216x^3y^6z^(12)} is 6xy^2z^4

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Multiply the numbers and simplify the answer: 3 x 1- 3/4

Answers

\underbrace{3*1}_(first)-(3)/(4)=3-(3)/(4)=2(1)/(4)

3*1(3)/(4)=3*(1*4+3)/(4)=3*(4+3)/(4)=(3)/(1)*(7)/(4)=(3*7)/(4)=(21)/(4)=(20+1)/(4)=(20)/(4)+(1)/(4)\n\center\boxed{=5(1)/(4)}

State whether true or false 12+(-15) =12-15​

Answers

True

A negative times a positive equals a negative.

12 + (-15) = 12 - 15

12 - 15 = 12 - 15

HELP! 10 POINTS!! :((

Answers

Answer below.

1. 2

2. 17

3. 16

4. 4

5. 2

6. 8

7. 8

8. 10
The answer is 6 hope this helps

JUST HELP ME ITS DUE IN5 MINUTES:"( ASAP <3

Answers

Answer:

A. 25%

25% is equivalent to 1/4 and when you multiply 75 by 4 you get 300. Which means 75 is equivalent to 1/4 and 1/4 is equivalent to 25%. So the answer is 25%. I'm so sorry if this explanation is bad

An 85-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground. How high is the top of the tree house? Round your answer to the nearest tenth of a foot.

Answers

For this case we can model the problem as a rectangle triangle.
 We have the hypotenuse and the angle.
 We want to find the height.
 For this, we use the following trigonometric relationship:
 sine (x) = C.O / h
 Where,
 x: angle
 C.O: opposite leg
 h: hypotenuse
 Clearing C.O we have:
 C.O = 85 * sine (45)
 C.O = 60.1040764
 Round to the nearest tenth of a foot:
 C.O = 60 feet
 Answer:
 the top of the tree house is 60 feet high

Answer:

sin 45=x/85

85 sin 45=x

x=60.104

nearest 10th is 60.1 ft

Evaluate [3(5 + 6) + 2] ÷ 7

Answers

[3(5 + 6) + 2] ÷ 7= 35/7

35/7=5

Answer:

5

Step-by-step explanation:

[3(5 + 6) + 2] ÷ 7

(5 + 6) = 11

[3(11) + 2] ÷ 7

3 x 11 = 33

[33 + 2] = 35

[35] ÷ 7 = 5

Thus the answer, 5
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Can you guys help me. l will give you the brainliest and if you give me the correct answers. please show working.​