All categories

3 years ago

Simplify this expression

Mathematics

1 answer:

Evgen [1.6K]3 years ago

6 0

Answer:

2√65(13+√2)

=2√130+26√65 (Decimal: 232.42221)

Step-by-step explanation:

You might be interested in

Solve the system by substitution. y = 4x y = 8x - 36

blagie [28]

Answer:

(9,36)

Step-by-step explanation:

Substitute the 4x for the y in second equation.

Basically setting them equal to each other because the both have 'y='

4x = 8x - 36

-4x = -36 (subtract 8x from both sides)

x = 9 (divide by -4, both sides)

y = 4(9) (Substitute the x value into first equation)

y = 36

8 0

3 years ago

La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6, la probabilidad de que apruebe un estudiante B es 0.4

ivanzaharov [21]

Answer:

0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.

Step-by-step explanation:

La probabilidad condicional :

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

En el cual:

P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.

$P(A \cap B)$ es la probabilidad de que ocurran tanto A como B.

P(A) es la probabilidad de que ocurra A.

En esta pregunta :

Evento A: Estudiante A aprueba.

Evento B: Estudiante B aprueba.

La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6

Entonces $P(A) = 0.6$

La probabilidad de que ambos estudiantes aprueben es 0.3

Entonces $P(A \cap B) = 0.3$

¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5$

0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.

6 0

3 years ago

The volume of a cylinder is 1000 cubic meters. The radius is 8.5 meters. Determine the height of the cylinder. Use 3.14 for \piπ

finlep [7]

Answer:

4.4 m

Step-by-step explanation:

Formula :

Volume (cylinder) = πr²h

Solving :

1000 = 3.14 x (8.5)² x h
1000 = 3.14 x 72.25 x h
1000 = 226.865h
h = 1000/226.865
h = 4.4 m

6 0

2 years ago

Read 2 more answers

In a fruit cocktail, for every 12ml of orange juice you need 8ml of apple juice and 50ml of coconut milk. What is the ratio of a

yanalaym [24]

Answer:

4:25:6 would be the simplest form

8 0

3 years ago

Express the situation as a system of two equations in two variables. Be sure to state clearly the meaning of your x- and y-varia

expeople1 [14]

Answer:

9 TV ads and 20 radio ads

Step-by-step explanation:

He has $37,000 to spend. He has to sum that amount of money between the TV and radio ads. Each TV ad costs $3000 while each radio ad costs $500, so the equation that represents that is 37000 = 3000x + 500y

The same happens with the amount of voters he needs to reach, the equation is 130000 = 10000x + 2000y

The system that represents this is

$\left \{ {{3000x+500y=37000} \atop {10000x+2000y=130000}} \right.$

And the augmented matrix is

$\left[\begin{array}{cc|c}3000&500&37000\\10000&2000&130000\end{array}\right]$

First we divide the first row by 3000 and the second by 10000:

$\left[\begin{array}{cc|c}1&1/6&37/3\\1&1/5&13\end{array}\right]$

Then we multiply the second row by (-1) and we add the first row:

$\left[\begin{array}{cc|c}1&1/6&37/3\\0&-1/30&-2/3\end{array}\right]$

Now we multiply the second row by -30:

$\left[\begin{array}{cc|c}1&1/6&37/3\\0&1&20\end{array}\right]$

Finally, to the first row we add the second one multiply by (-1/6):

$\left[\begin{array}{cc|c}1&0&9\\0&1&20\end{array}\right]$

So, x = 9 and y = 20

That means 9 TV and 20 radio ads will contact 130,000 voters using the allocated funds

3 0

3 years ago