MATHEMATICS HIGH SCHOOL

Simplify square root of 5 multiplied by the cube root of 5.5 to the power of 5 over 6
5 to the power of 1 over 6
5 to the power of 2 over 3
5 to the power of 7 over 6

Answers

Answer 1
Answer:

Answer:

5 to the power of 5 over 6 = 5^{(5)/(6)}

Step-by-step explanation:

1)Let's define some properties about exponent:

a^{(b)/(c)}=\sqrt[c]{a^(b)}

For example :

4^{(1)/(2)}=\sqrt[2]{4^(1)}=\sqrt[2]{4}=√(4)=2

2^{(6)/(3)}=\sqrt[3]{2^(6)}=\sqrt[3]{64}=4

2)Another property of exponent is :

(a^(b)).(a^(c))=a^(b+c)

For example :

(4^(2)).(4^(3))=4^(2+3)=4^(5)=1024

This means that when we have two exponential functions with the same base that are multiplying between them, we can sum the exponents in order to make a new exponential function with the same base.

Using this two properties we can solve the problem.

  • The expression is:

(√(5)).(\sqrt[3]{5})

  • Using the two properties :

(√(5)).(\sqrt[3]{5})=(5^{(1)/(2)}).(5^{(1)/(3)})=5^{(1)/(2)+(1)/(3)}

Now, (1)/(2)+(1)/(3)=(5)/(6)

Therefore, the final expression is

5^{(1)/(2)+(1)/(3)}=5^{(5)/(6)} ⇒

(√(5)).(\sqrt[3]{5})=5^{(5)/(6)}

The correct answer is :

5 to the power of 5 over 6.

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Answers

So you have two x-coordinate:

x=3 and x=4.

Let's test first option:

for x= 3, we have y = (3) + 3 = 6, which matches (3, 6)

Now for x=4, we have y = (4) + 3 = 7 which doesn't match (4, 8).
Do the same for any other options.

You should get B, y = 2x.

On average, it takes 4.75 hours to run a marathon. How many days will it take to run 100 marathons?

Answers

Answer:

475 hours

Step-by-step explanation:
4.75*100=475...........

36x^3a+45xa^2=9xa( ) complete the statement.

Answers

9xa is the common factor.

You can complete the statement by dividing the two terms of the expression of the left side by 9xa, and you will get:

36x^3a + 45xa^2 = 9xa ( 4x^2 + 5a)

How do I convert radians to degrees? Is it pi/180 or 180/pi? I get them confused! Thanks

Answers

It could be either one, depending on whether you intend to multiply or divide.

When you convert, just remember that degrees ==> less radians,
and radians ==> more degrees.  Then you can always check the
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I need help with number 3

Answers

You multiply everything inside the brackets by what's outside it:

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To calculate the volume of a cylinder, we have equation like this: V = πd 2 4 h = πr 2h d is the diameter, r is the radius and h is its height. We can measure the diameter (r = d 2 ) and height directly. To calculate the confidence interval of the volume, we should use the propagation of errors. We use the micrometer screw to measure the diameter. The minimum interval on the screw is 0.01mm. What is the confidence interval for δd and δr?

Answers

Answer:

\delta d = +/- 0.01 mm

\delta r = +/- 0.02 mm

Step-by-step explanation:

\delta d. The error of a quantity directly measured is the uncertainty of the tool used for measuring. So error for diameter is 0.01 mm.

\delta r. The error of a quantity obtained multiplying/dividing a measure by a constant is calculated multiplying/dividing the measure uncertainity by the same constant. Radius is calculated as r=2*d, so we calculate \delta r  multiplying the diameter uncertainty by 2 (\delta r = 2*0.01=0.02).

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