$\sqrt{m^6}=\sqrt{m^{3\cdot2}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(m^3)^2}\qquad\text{use}\ \sqrt{a^2}=|a|\\\\=|m^3|\\\\\text{if}\ m\geq0,\ \text{then}\ \sqrt{m^6}=m^3\\\\\text{if}\ m$

3 0

3 years ago

Subtraction with different denominators examples

Rus_ich [418]

3÷3×7÷9-2÷3×9÷9

Step-by-step explanation:

3×7=21

3×9=27

21÷27=7÷9

2×9=18

3×9=27

18÷27=2÷3

7÷9-2÷3=5÷6

6 0

3 years ago

In 2005 the population of a district was 35.700 with a continuous annual growth rate of approximately 4%, what will the populati

denpristay [2]

Given:

Population is 2005 = 35,700

growth rate = 4% = 0.04

To find:

The population in 2030.

Solution:

The general exponential growth model is

$y=a(1+r)^t$

where, a is initial value, r is growth rate and t is time in years.

Let the initial year is 2005. So, number of years between 2005 to 2030 is

$2030-2005=25$

Putting a=35,700, r=0.04 and t=25 in the above model.

$y=35,700(1+0.04)^{25}$

$y=35,700(1.04)^{25}$

$y=35,700(2.665836)$

$y=95170.3452$

Approximate the value to the nearest whole number.

$y\approx 95,170$

Therefore, population of the district will be about 95,170.

8 0

3 years ago

Is 42(x + 14y) equivalent to 42x - 56y

g100num [7]

Answer:

No its not

Step-by-step explanation:

When 42(x + 14y) is simplified:

42(x + 14y)

Expand and remove the brackets. Remember brackets mean to multiply.

42*x

42x

42*14y

588y

42x+588y

Therefore 42x-56 is NOT EQUIVALENT to 42(x + 14y) but is equivalent to 42+588y

3 0

4 years ago