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pashok25 [27]
3 years ago
7

If the ages in a classroom were 11, 12, 12, 13, 13, 14 - what would the median age be if you added someone that was 10 years old

?
Mathematics
1 answer:
Mandarinka [93]3 years ago
5 0

Answer: 12 years old

Step-by-step explanation:

10,11,12,12,13,13,14

The middle in these numbers is 12

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How do you know a radical expression is in simplest form?
Diano4ka-milaya [45]
Answer: To know whether a radical expression is in simplest form or not you should put the numbers and letters inside the radical in terms of prime factors. Then, the radical expression is in the simplest form if all the numbers and letters inside the radical are prime factors with a power less than the index of the radical

Explanation:

Any prime factor raised to a power greater than the index of the root can be simplified and any factor raised to a power less than the index of the root cannot be simplified

For example simplify the following radical in its simplest form:


\sqrt[5]{3645 a^8b^7c^3}

1) Factor 3645 in its prime factors: 3645 = 3^6 * 5

2) Since the powr of 3 is 6, and  6 can be divided by the index of the root, 5, you can simplify in this way:

- 6 ÷ 5 = 1 with reminder 1, so 3^1 leaves the radical and 3^1 stays in the radical

3) since the factor 5 has power 1 it can not leave the radical

4) the power of a is 8, then:

8 ÷ 5 = 1 with reminder 3 => a^1 leaves the radical and a^3 stays inside the radical.

5) the power of b is 7, then:

7 ÷ 5 = 1 with reminder 2 => b^1 leaves the radical and b^2 stays inside the radical

6) the power of c is 3. Since 3 is less than 5 (the index of the radical) c^3 stays inside the radical.

7) the expression simplified to its simplest form is

3ab \sqrt[5]{3.5.a^3b^2c^3}

And you know it cannot be further simplified because all the numbers and letters inside the radical are prime factors with a power less than the index of the radical.
7 0
3 years ago
Read 2 more answers
Imagine the graph for the relation 4x-5y+20 = 0.<br> What would be its slope?
muminat
4x - 5y + 20 = 0
<u>             - 20  - 20</u>
        4x - 5y = -20
 4x - 4x - 5y = -20 - 4x
              -5y = -20 - 4x
              <u>-5y</u> = <u>-4x - 20</u>
               -5         -5
                 y = ⁴/₅x + 4
The slope would be ⁴/₅.
4 0
3 years ago
HELP QUICK
noname [10]

Answer:

84ft

Step-by-step explanation:

w = 2/3(L)

if 280 feet of fencing can enclose the garden,therefore the perimeter is 280 feet

perimeter = 2L + 2W

but W=2/3(L)

therefore, perimeter = 2L + 2(2/3L)

P= 2L + 4/3(L)

P= 10/3(L)

but P= 280

therefore 280= 10/3(L)

L = (3×280)÷10

L= 84 feet

8 0
3 years ago
Kgms^-1 ÷ m× (ms^-1)^2<br> Can u simplify this
Ymorist [56]

Answer:

(kgm^2) / (s^3)

Step-by-step explanation:

Comment if you want steps.

7 0
3 years ago
A line is parallel to y= 4x-2 and intersects the point (5,-11). what is the equation of this parallel line?
mina [271]

The equation of line parallel to given line is: y=4x-31

Step-by-step explanation:

Given equation of line is:

The equation of line is in slope-intercept form so the co-efficient of x is the slope of the line.

Let m1 be the slope of the given line

then

m1 = 4

Let m2 be the line that is parallel to given line

As we know that the slopes of parallel lines is equal so

m1=m2 = 4

The slope-intercept form of equation of line is:

Putting the value of slope

to find the value of b, putting (5,-11) in the equation

Putting the value of b

Hence,

The equation of line parallel to given line is: y=4x-31

Keywords: Equation of line, slope

5 0
3 years ago
Read 2 more answers
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