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Lilit [14]
3 years ago
12

The coefficient of the second term in the expansion of the binomial (4x+3y) to the 3rd power

Mathematics
1 answer:
kaheart [24]3 years ago
3 0
You can solve this easily by using Pascal's Triangle (look that up if need be).

Here are the first four rows of P. Triangle:

                 1
           1           1
     1          2          1
1        3            3       1
 
 example:  expand (a+b)^3.
 
 Look at the 4th row.  Borrow and use those coefficients:
 
 1a^3 + 3 a^2b + 3ab^2  + b^3

Now expand (4x+3y)^3:

1(4x)^3 + 3(4x)^2(3y)  + 3(4x)*(3y)^2 + (3y)^3

Look at the 2nd term (above):

              3(4x)^2(3y)   can be re-written as 144x^2y.
 
The coeff of the 2nd term is 144.  Note that (4)^2 = 16    
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Adam wanted to play his video games. His mother told him that he needed to finish his homework, clean out the dishwasher, and cl
11Alexandr11 [23.1K]

Answer:

2 hours and 28 mins

Step-by-step explanation:

75-15=60=1 hour     remain 15 mins

45+14=63-3=60=1 hour      remain 3 mins

3+25=28 mins        remain 0 mins

total= 2hours and 28 mins

plz mark me brainly .

3 0
3 years ago
VGravel is being dumped from a conveyor belt at a rate of 50 ft3/min. It forms a pile in the shape of a right circular cone whos
kupik [55]

Answer:

0.325 ft/min

Step-by-step explanation:

To solve we must follow the following steps:

First, the volume of a cone is given by the equation:

Vc = (1/3) * Pi * (r ^ 2) * h

where r is the radius and h is the height.

they tell us that the height is equal to twice the radius, therefore

h = 2r; r = h / 2

replacing r in the volume of the cone:

Vc = (1/3) * Pi * ((h / 2) ^ 2) * h

solving we have:

Vc = (1/3) * Pi * (1/4) * (h ^ 2) * h

Vc = (1/12) * Pi * h ^ 3

They give us the change in volume with respect to time, that is, dV / dt = 50

It can also be expressed in the following way:

dV / dt = (dV / dh) * (dh / dt)

We know V, so we can derive with respect to h, we are like this:

dV / dh = 3 * (1/12) * Pi * h ^ 2

dV / dh = (1/4) * Pi * h ^ 2

we know that h is equal to 14, therefore:

dV / dh = (1/4) * Pi * 14 ^ 2

dV / dh = (1/4) * 3.14 * 196 = 153.86

Now if we replace

dV / dt = (dV / dh) * (dh / dt)

50 = 153.86 * (dh / dt)

(dh / dt) =  50/158.36

(dh / dt) =  0.3249

This means that the change in height with respect to time is 0.325 feet per minutes.

4 0
3 years ago
Read 2 more answers
Find the domain and range of y= -|x|-1
Debora [2.8K]
R: (-inf, 0]
D: all real #'s
7 0
3 years ago
Read 2 more answers
To
choli [55]

Answer:   B.x^3+4x^2-19x+14 is correct

Step-by-step explanation:

(x + 7)(x2 – 3x + 2)

Multiplying both

x^3-3x^2+2x+7x^2-21x+14

x^3+4x^2-19x+14

7 0
3 years ago
Si un empresario paga diariamente 50 a cada trabajador le faltaria 110 pero si les pagara 45 le sobraria 60 cuantos trabajadores
N76 [4]

Answer:

34 trabajadores.

Step-by-step explanation:

Supongamos que el empresario tiene N trabajadores, y tiene la cantidad de dinero D para pagarles cada día.

Si el empresario decide pagarle 50 a cada trabajador le faltan 110.

Esto se puede reescribir como:

50*N = D + 110

(50 por número de empleados es igual que el dinero que tiene más lo que le falta para pagar)

También sabemos que si pagara 45 a cada empleado, le sobraría 60.

Esto se puede reescribir como:

45*N = D - 60

Entonces tenemos dos ecuaciones:

50*N = D + 110

45*N = D - 60

Para resolver esto, el primer paso es aislar una de las variables en una de las ecuaciones, en este caso aislaré D en la segunda ecuación.

45*N + 60 = D

Ahora podemos reemplazar esto en la primer ecuación y resolver para N

50*N = (45*N + 60) + 110

50*N = 45*N + 170

50*N - 45*N = 170

5*N = 170

N = 170/5 = 34

El empresario tiene 34 trabajadores.

7 0
3 years ago
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