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OLEGan [10]
2 years ago
10

Which expression is equivalent to:1/m6

Mathematics
1 answer:
Valentin [98]2 years ago
8 0

Answer:

A

Step-by-step explanation:

6 is a power. So both C and D are wrong because 6 is being treated as an ordinary integer.

So the answer must be either A or B.

B is not correct because to move an expression from the denominator to the numerator changes the sign in the base (which is m in this  question).

A is correct. the power is changed from 6 in the denominator to -6 in the numerator. m is shifted to the numerator as well.

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Somebody please help! Marked Brainliest!
olga nikolaevna [1]

Answer:

Part A:

The surface area of a cylinder is given by

A=  6πr² if h= 2r

Part B:

Total Cost of covering the cylinder = Rate *2πrh + rate*2πr²

Cost of covering only the side = Rate *2πrh

Step-by-step explanation:

Part A:

The surface area of a cylinder is given by

A= 2πrh + 2πr²

Where h= height and radius = r

But we have the height twice as radius so h= 2r

So putting h= 2r we get

A= 2πr(2r) + 2πr²

A= 4πr² + 2πr²= 2πr²(2+1) = 2πr²(3)= 6πr²

Part B:

Cost = Rate * area of the wall + rate * area of the top and bottom

Cost = Rate *2πrh + rate*2πr²

Where area of the top and bottom= πr² +πr² =2 πr²

and area of the side = 2πrh

Multiplying both with the rate and then adding would give the total cost of materials needed to cover the outside of the cylinder and from top and bottom as well.

If  you do not need to cover top and bottom then the expression would be

Cost of covering only the side = Rate *2πrh

Part C:

Already done above.

4 0
2 years ago
Today is sunday. Tom starts to read a book with 490 pages today. Sundays he reads 25 pages and on all other days he reads 4 page
mrs_skeptik [129]

Based on the information given, it can be noted that Tom will use 117 days to read the book.

How to solve a equation.

Based on the information given, we are informed that Tom starts to read a book with 490 pages today. Sundays he reads 25 pages and on all other days he reads 4 pages.

Let the number of days be represented by x. Therefore, the equation to solve the question will be:

25 + (4 × x) = 490

25 + 4x = 490

4x = 490 - 25

4x = 465

x = 465/4

x = 116.25

x = 117

Therefore, he'll use 117 days to read the book.

Learn more about equations on:

brainly.com/question/13763238

6 0
2 years ago
If 1=3<br><br>2=3<br><br>3=5<br><br>4=4<br><br>5=4<br><br>Then, 6=?​
anzhelika [568]
It’s 6=6 I think I hope it’s help have a nice day
8 0
3 years ago
Well's College in New York was previously an all girls school. In 2005, the college began to allow boys to enroll. By 2012, the
kogti [31]

Answer: 150 boys

Step-by-step explanation:

Let the number of boys be x

Since there were 200 more girls than boys, the number of girls will be: = x + 200

Since the ratio of boys to girls was 3:7, this can be solved further below:

3/7 = x/x+200

Cross multiply

(7 × x) = 3(x + 200)

7x = 3x + 600

7x - 3x = 600

4x = 600

x = 600/4

x = 150

The number of boys enrolled is 150

Number of Girls will be:

= X + 200

= 150 + 200

= 350

Check: Number of boys / Number of girls

= 150/350

= 3/7

= 3:7

7 0
2 years ago
A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% s
Artemon [7]

Answer:

= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right]  \left \begin{array}{ccc}{0 \  \leq  age   \leq  1 }\\{ 1 \  \leq  age   \leq  2 }\\{2 \  \leq  age  \leq 3}\end{array}\right

i.e after the first year ;

there 1344 members in the first age class

84 members for the second age class; and

28 members for the third age class

Step-by-step explanation:

We can deduce that the age distribution vector x represents the number of population members for each age class; Given that in each class of age there are 112 members present.

The current age distribution vector is as follows:

x = \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right] \left[\begin{array}{ccc}{0 \  \leq  age   \leq  1 }\\{ 0 \  \leq  age   \leq  2 }\\{0 \  \leq  age   \leq 3}\end{array}\right]

Also , the age transition matrix is as follows:

L = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right]

After 1 year ; the age distribution vector will be :

x_2 =Lx_1 = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right]  \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right]

= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right]  \left \begin{array}{ccc}{0 \  \leq  age   \leq 1 }\\{ 1 \  \leq  age   \leq  2 }\\{2 \  \leq  age   \leq  3}\end{array}\right

6 0
2 years ago
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