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2 years ago

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A company has 30 different people that work for it. They need to send 4 people to 4 different job sites. In how many ways can th

ey assign these people work

1 answer:

sammy [17]2 years ago

3 0

Answer:

need help lol me to I don't ever understand this

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For the following geometric sequence find the explicit formula {1,-3,9,...}

Zarrin [17]

The first term of this series (a+1) is 1 and the common ratio (r) is -3.

Thus, the explicit formula is a_n = 1*(-3)^(n-1).

Must check this! suppose we try to calculate the 3rd term. Then n = 3.

a_3 = 1*(-3)^(3-1) = (-3)^2 = 9. This is correct.

3 0

3 years ago

Read 2 more answers

Cameron had 30 minutes to do a three problem quiz. He spent 8 3/4 minutes on question A and 5 1/2 minutes on question B. How muc

Delvig [45]

He has 15 and 3/4 minutes left over

3 0

2 years ago

Consider the following set of vectors. v1 = 0 0 0 1 , v2 = 0 0 3 1 , v3 = 0 4 3 1 , v4 = 8 4 3 1 Let v1, v2, v3, and v4 be (colu

Alona [7]

Answer:

We have the equation

$c_1\left[\begin{array}{c}0\\0\\0\\1\end{array}\right] +c_2\left[\begin{array}{c}0\\0\\3\\1\end{array}\right] +c_3\left[\begin{array}{c}0\\4\\3\\1\end{array}\right] +c_4\left[\begin{array}{c}8\\4\\3\\1\end{array}\right] =\left[\begin{array}{c}0\\0\\0\\0\end{array}\right]$

Then, the augmented matrix of the system is

$\left[\begin{array}{cccc}0&0&0&8\\0&0&4&4\\0&3&3&3\\1&1&1&1\end{array}\right]$

We exchange rows 1 and 4 and rows 2 and 3 and obtain the matrix:

$\left[\begin{array}{cccc}1&1&1&1\\0&3&3&3\\0&0&4&4\\0&0&0&8\end{array}\right]$

This matrix is in echelon form. Then, now we apply backward substitution:

1.

$8c_4=0\\c_4=0$

2.

$4c_3+4c_4=0\\4c_3+4*0=0\\c_3=0$

3.

$3c_2+3c_3+3c_4=0\\3c_2+3*0+3*0=0\\c_2=0$

4.

$c_1+c_2+c_3+c_4=0\\c_1+0+0+0=0\\c_1=0$

Then the system has unique solution that is $(c_1,c_2c_3,c_4)=(0,0,0,0)$ and this imply that the vectors $v_1,v_2,v_3,v_4$ are linear independent.

4 0

3 years ago

What is the value of x

inna [77]

3+6x+3x+ 6 = 180
9x + 9 = 180
9x = 171
x = 19

7 0

3 years ago

Petrol and oil are mixed in the ratio 10/1 . How many litres of oil needed to mix with 5 litres of petrol?

valina [46]

Answer:

1/2

Step-by-step explanation:

since 10petrols=1 oil

therefore 5petrols=1/2

7 0

3 years ago

Read 2 more answers