All categories

4 years ago

A system of three linear equations in three variables is consistent and independent. How many solutions to the system exist?

Mathematics

1 answer:

Ann [662]4 years ago

7 0

The answer is “One”

You might be interested in

Si juan tiene 7 manzanas y le da 5 a jose ¿cuantas manzanas le quedan a juan?

ryzh [129]

Answer:

Step-by-step explanation:

por que el le dio 5 manzanas a jose y le quedaron 2

5 0

3 years ago

find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long round your answer to the nearest 10t

Blababa [14]

Answer:

374.1 yards

Step-by-step explanation:

nice pfp

8 0

2 years ago

PLEASE HELLPPP MEEEEE

I am Lyosha [343]

Answer:

2x - 3y = 24

Step-by-step explanation:

You use the formula Ax ± By = C.

This is the standard linear equation form.

6 0

3 years ago

Assume that k and V0 are constant and are, respectively, 0.02, and 7. The parameter CA varies from an initial value CA0 = 100 to

julia-pushkina [17]

Answer:

V = 929.7

Step-by-step explanation:

Given the equation:

$\frac{dCA}{dV}$ = $\frac{-kCA}{V0}$

The integral of the above equation is:

$\int\limits {\frac{dCA}{dV} }$ = $\int\limits{\frac{-kCA}{V0} }$

Re-organizing the integrals:

$\int\limits {\frac{dCA}{CA} }$ = $\int\limits {\frac{-kdV}{V0} }$

Integrating:

ln(CA) - ln(CA0) = $\frac{-kV}{V0}$

Inputting the initial conditions of CA and the values of k and V0:

ln(7) - ln(100) = $\frac{-0.02V}{7}$

1.946 - 4.605 = -0.00286V

-2.659 = -0.00286V

=> V = $\frac{2.659}{0.00286}$

V = 929.720

Approximating to one decimal place,

V = 929.7

7 0

3 years ago

If x varies jointly as y and z,and x=8 when y=4 and a=9,find z when x=16 and y=6

Luda [366]

Answer:

z=12

Step-by-step explanation:

It is given that x varies jointly as y and z, it means

$x\propto yz$

$x=kyz$

$x(y,z)=kyz$

where, k is the constant of proportionality.

It is given that x=8 when y=4 and z=9

$(8)=k(4)(9)$

$8=36k$

Divide both sides by 36.

$\frac{8}{36}=k$

$\frac{2}{9}=k$

The value of k is 2/9.

$x=\frac{2}{9}yz$

We need to find the value of z when x=16 and y=6.

Substitute x=16 and y=6 in the above equation.

$16=\frac{2}{9}(6)z$

$16=\frac{4}{3}z$

Multiply both sides by 3.

$48=4z$

Divide both sides by 4.

$12=z$

Therefore, the value of z is 12.

7 0

4 years ago