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3 years ago

15

What is a rational number

1 answer:

siniylev [52]3 years ago

7 0

It's a number that can be expressed as a fraction, the numerator and the denominator of which, are integers.

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I'm stuck. how tall is Becky

Korvikt [17]

6ft because 4 to 7 was adding 3 so that means 3 +3 to get 6

Becky is 6ft

3 0

3 years ago

Read 2 more answers

Find Mx, My, and (x, y) for the lamina of uniform density rho bounded by the graphs of the equations. y = x2/3, y = 0, x = 1

erik [133]

Answer:

$\mathbf{(\overline x , \overline y ) = (\dfrac{5}{8}, \dfrac{5}{14})}$

Step-by-step explanation:

Given that:

$y = x^{2/3}$ at y = 0 , x = 1

Then:

Area = $\int^{1}_{0} x^{2/3} \ dx$

Area = $\begin {bmatrix} \dfrac{3}{5}x^{5/3} \end {bmatrix} ^1_0$

Area = $\dfrac{3}{5}$

Then:

$\overline x = \dfrac{1}{A} \int^b_a x (f(x) -g(x) ) \ dx$

$\overline x = \dfrac{5}{3} \int^1_0 x (x^{2/3} -0 ) \ dx$

$\overline x = \dfrac{5}{3} \int^1_0 x^{5/3} \ dx$

$\overline x = \dfrac{5}{3} \ [\dfrac{3}{8}x^{8/3}]^1_0$

$\overline x = \dfrac{5}{3} \times \dfrac{3}{8}$

$\overline x = \dfrac{5}{8}$

Similarly;

$\overline y = \dfrac{1}{A} \int^b_a \dfrac{1}{2} \begin{bmatrix} (f(x)^)2 - (g(x))^2 \end {bmatrix} \ dx$

$\overline y = \dfrac{5}{3} \int^1_0 \dfrac{1}{2} \begin{bmatrix} (f(x^{2/3})^2 -0 \end {bmatrix} \ dx$

$\overline y = \dfrac{5}{3} \int^1_0 \dfrac{1}{2} \begin{bmatrix} (x^{4/3} ) \end {bmatrix} \ dx$

$\overline y = \dfrac{5}{3} \begin{bmatrix} \dfrac{1}{2} (x^{7/3} ) \times \dfrac{3}{7} \end {bmatrix} ^1_0$

$\overline y = \dfrac{5}{3} \begin{bmatrix} \dfrac{3}{14} (x^{7/3} ) \end {bmatrix} ^1_0$

$\overline y = (\dfrac{5}{3} \times \dfrac{3}{14} )$

$\overline y = \dfrac{5}{14}$

Thus; $\mathbf{(\overline x , \overline y ) = (\dfrac{5}{8}, \dfrac{5}{14})}$

4 0

3 years ago

Find the missing exponent: 5^11/5?=5^4

Sergio [31]

The missing exponent is 5^7 your welcome

6 0

3 years ago

A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for ever

algol13

$\frac{5}{6} = \frac{a}{1001}$ where a = compound A

6a = 5,005

a = 834 milliliters

8 0

3 years ago

Simplify |a+3| + |a−3| , if −3

Rashid [163]

Answer:

6

Step-by-step explanation:

I'm not sure if you mean whether a = -3, but if you are to plug in -3 for a you should get:

$|-3+3|+|-3-3|\\=|0|+|-6|\\=0+6\\=6$

5 0

4 years ago