Write 72,300,000 in scientific notation

Maya charges 9.50 an hour for peer tutoring. one week last month she worked for 5 hours and the next week she worked 8 hours. ho

pashok25 [27]

9.50(5 + 8) =
9.50(13) =
123.50 <===

5 0

4 years ago

A tutor earns $12.00 plus $4.00 for every hour he works.

inysia [295]

Answer:

64

Step-by-step explanation:

12+4=16

16 x 4 = 64

6 0

3 years ago

Read 2 more answers

9x<-27 or 4x>36 solve for the compound inequality

pochemuha

9x < -27 or 4x > 36
9 9 4 4
x < -3 x > 9

x ∈ (-∞, 3) or (9, ∞)

3 0

4 years ago

A snail going full speed was taking 1/5 of a minute to move

cluponka [151]

Answer:

84 seconds or 1 min and 24 seconds

Step-by-step explanati

8 0

3 years ago

Find values of a, b, and c (if possible) such that the system of linear equations has a unique solution, no solution, and infini

Cerrena [4.2K]

Answer:

IMPOSSIBLE

Step-by-step explanation:

First we set the equation system:

$x+y+0z=0\\0x+4y+z=0\\4ax+by+cz=0$

Now we set the matrix in order to have a solution for the system:

$\left[\begin{array}{ccc}1&1&0\\0&4&1\\4a&b&c\end{array}\right]$

Now we are going to apply Gauss-Jordan to find the solution of the system in terms of a, b and c:

$-4aR_{1}+R_{3}\rightarrow R_{3}\\\\{\left[\begin{array}{ccc}1&1&0\\0&4&1\\0&(-4a+b)&c\end{array}\right]$

Next step:

$(4a-b)R_{2}+4R_{3} \rightarrow R_{3}\\\\{\left[\begin{array}{ccc}1&1&0\\0&4&1\\0&0&(4a-b+c)\end{array}\right]$

Next step:

$(4a-b+c)R_{2}-R_{3} \rightarrow R_{2}\\\\{\left[\begin{array}{ccc}1&1&0\\0&4(4a-b+c)&0\\0&0&(4a-b+c)\end{array}\right]$

Next step:

$4(4a-b+c)R_{1}-R_{2} \rightarrow R_{1}\\\\{\left[\begin{array}{ccc}4(4a-b+c)&0&0\\0&4(4a-b+c)&0\\0&0&(4a-b+c)\end{array}\right]$

With this solution, we have a new equation system:

$4(4a-b+c)=0\\4(4a-b+c)=0\\4a-b+c=0$

This system can be solved by Cramer's rule, by finding the matrix determinant:

$\left[\begin{array}{ccc}16&-4&4\\16&-4&4\\4&-1&1\end{array}\right]$

$\Delta s= (-64-64-64)-(-64-64-64)=0$

As the determinant is zero, we can say that the second system is imposible to solve.

4 0

3 years ago