All categories

3 years ago

I need help with this one I’m stuck on it.

Mathematics

1 answer:

victus00 [196]3 years ago

5 0

Answer:4.5

Step-by-step explanation:

You might be interested in

Can someone please help me with my maths question

DIA [1.3K]

Answer:

$a. \ \dfrac{625 \cdot m}{27 \cdot n^{11}}$

$b. \ \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}$

Step-by-step explanation:

The question relates with rules of indices

(a) The give expression is presented as follows;

$\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}$

By expanding the expression, we get;

$\dfrac{m^3 \times n^{-8} \times 5^4 \times m^4}{\left 3^3 \times m^6 \times n^3}$

Collecting like terms gives;

$\dfrac{m^{(3 + 4 - 6)} \times 5^4}{ 3^3 \times n^{3 + 8}} = \dfrac{625 \cdot m}{27 \cdot n^{11}}$

$\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}= \dfrac{625 \cdot m}{27 \cdot n^{11}}$

(b) The given expression is presented as follows;

$x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \div (x \cdot y^n)^4$

Therefore, we get;

$x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times x^{-4} \times y^{-4 \cdot n}$

Collecting like terms gives;

$x^{3 \cdot m + 2 - 4} \times \left (y^{3 \cdot n - 3 -4 \cdot n}} \right ) = x^{3 \cdot m - 2} \times \left (y^{ - 3 -n}} \right ) = x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right )$

$x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right ) = \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}$

$x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times x^{-4} \times y^{-4 \cdot n} =\dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}$

4 0

3 years ago

{[3 x (3+6) - 5] + 20 x 2

Nataliya [291]

Answer:

a. 62

Step-by-step explanation:

use the Bodmas method

=3×9-5+20×2

=<u>62</u><u> </u>

7 0

3 years ago

Helpppppppppppppppppppppppppp

Dahasolnce [82]

Step-by-step explanation:

$2\pi {r}^{2} + 2\pi rh$

$2(3.14) {(20)}^{2} + 2(3.14)(20)(11)$

$6.28(400) + 6.28(220) \\ 2512 + 1381.6 = 3893.6 {mi}^{2}$

3 0

3 years ago

Which is the slope of the line y=−3x+2? −3 −2 2 3

Gnesinka [82]

Answer:

-3

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

3 0

3 years ago

victor needs 300 feet of rope.The rope he wants to buy is sold by yards.He knows that there are 3 feet in 1 yard.How many yards

barxatty [35]

We need to convert 300 feet to yards.

We know,

3 feet = 1 yard

Hence,

300 feet * 1 yard/3 feet = 300/3 = 100 yards

He should buy 100 yards

5 0

2 years ago